Galileo Galilei's vision of the senses.
Piccolino, Marco; Wade, Nicholas J
2008-11-01
Neuroscientists have become increasingly aware of the complexities and subtleties of sensory processing. This applies particularly to the complex elaborations of nerve signals that occur in the sensory circuits, sometimes at the very initial stages of sensory pathways. Sensory processing is now known to be very different from a simple neural copy of the physical signal present in the external world, and this accounts for the intricacy of neural organization that puzzled great investigators of neuroanatomy such as Santiago Ramón Y Cajal a century ago. It will surprise present-day sensory neuroscientists, applying their many modern methods, that the conceptual basis of the contemporary approach to sensory function had been recognized four centuries ago by Galileo Galilei.
Reconstruction of Galileo Galilei's Experiment: The Inclined Plane
Straulino, S.
2008-01-01
In the "Third Day" of the "Discourses and Mathematical Demonstrations Concerning Two New Sciences" Galileo Galilei describes the famous experiment of the inclined plane and uses it to bring an experimental confirmation to the laws of uniformly accelerated motion. We describe a reconstruction of the experiment and how the results can be used for…
Peter Paul Rubens, Galileo Galilei und die Schlacht am Weißen Berg
Czech Academy of Sciences Publication Activity Database
Konečný, Lubomír
2005-01-01
Roč. 26, č. 52 (2005), s. 85-91 ISSN 0391-9064 Institutional research plan: CEZ:AV0Z80330511 Keywords : Peter Paul Rubens * Galileo Galilei * moon Subject RIV: AL - Art, Architecture, Cultural Heritage
Galileo's eye: a new vision of the senses in the work of Galileo Galilei.
Piccolino, Marco; Wade, Nicholas J
2008-01-01
Reflections on the senses, and particularly on vision, permeate the writings of Galileo Galilei, one of the main protagonists of the scientific revolution. This aspect of his work has received scant attention by historians, in spite of its importance for his achievements in astronomy, and also for the significance in the innovative scientific methodology he fostered. Galileo's vision pursued a different path from the main stream of the then contemporary studies in the field; these were concerned with the dioptrics and anatomy of the eye, as elaborated mainly by Johannes Kepler and Christoph Scheiner. Galileo was more concerned with the phenomenology rather than with the mechanisms of the visual process. His general interest in the senses was psychological and philosophical; it reflected the fallacies and limits of the senses and the ways in which scientific knowledge of the world could be gathered from potentially deceptive appearances. Galileo's innovative conception of the relation between the senses and external reality contrasted with the classical tradition dominated by Aristotle; it paved the way for the modern understanding of sensory processing, culminating two centuries later in Johannes Müller's elaboration of the doctrine of specific nerve energies and in Helmholtz's general theory of perception.
1992-01-01
Il compasso geometrico e militare / di Roberto Vergara Caffarelli - Le operazioni del compasso geometrico e militare / Galileo Galilei - Annotazioni / Mattia Bernaggeri - Usus et fabrica circini cuiusdam proportionis / Baldassarre Capra - Difesa contro alle calunnie ed imposture di Baldassar Capra.
Sunspot Positions and Areas from Observations by Galileo Galilei
Vokhmyanin, M. V.; Zolotova, N. V.
2018-02-01
Sunspot records in the seventeenth century provide important information on the solar activity before the Maunder minimum, yielding reliable sunspot indices and the solar butterfly diagram. Galilei's letters to Cardinal Francesco Barberini and Marcus Welser contain daily solar observations on 3 - 11 May, 2 June - 8 July, and 19 - 21 August 1612. These historical archives do not provide the time of observation, which results in uncertainty in the sunspot coordinates. To obtain them, we present a method that minimizes the discrepancy between the sunspot latitudes. We provide areas and heliographic coordinates of 82 sunspot groups. In contrast to Sheiner's butterfly diagram, we found only one sunspot group near the Equator. This provides a higher reliability of Galilei's drawings. Large sunspot groups are found to emerge at the same longitude in the northern hemisphere from 3 May to 21 August, which indicates an active longitude.
Directory of Open Access Journals (Sweden)
Francesco Fiorentino
2015-11-01
Full Text Available This contribution investigates a hidden and surely singular – but far from marginal – aspect of the Scientific Revolution of the 17th century, in other words the interpretation of the Holy Scriptures. First of all, this work analyzes the situation immediately before the advent of the fathers of the 17th Century Scientific Revolution like Galileo Galilei and Isaac Newton, starting from the Council of Trent. This reconstruction aims to throw light on the particular way that Galileo and Newton intended to approach the interpretation of the Holy Scriptures with respect to the main tendencies of the Catholic Reformation of biblical hermeneutics. Their way is important both in itself and in relation to the Scientific Revolution. In itself because Galileo and Newton elaborate original theories that are not entirely in agreement with the predominant views and that are decidedly no less interesting than their pure scientific theories. In relation to the Scientific Revolution because the interpretation of the Holy Scriptures is addressed in an original fashion by both Galileo and Newton, also with the intent of facilitating the spread and approval of their own scientific theories in their respective socio-cultural environments. The primacy of nature is not manifested only in contrast to and outside the book of Scriptures, but conditions the Book of Scriptures, locating it within a precise cultural perspective and religious sense that are by no means contrary to Galileo and Newton’s views.
The GALILEO GALILEI small-satellite mission with FEEP thrusters (G G)
International Nuclear Information System (INIS)
Nobili, A. M.; Bramanti, D.; Catastini, G.
1997-01-01
The Equivalence Principle, formulated by Einstein generalizing Galileo's and Newton's work, is a fundamental principle of modern physics. As such it should be tested as accurately as possible. Its most direct consequence, namely the Universality of Free Fall, can be tested in space, in a low Earth orbit, the crucial advantage being that the driving signal is about three orders of magnitude stronger than on Earth. GALILEO GALILEI (G G) is a small space mission designed for such a high-accuracy test. At the time of print, G G has been selected by ASI (Agenzia Spaziale Italiana) as a candidate for the next small Italian mission. Ground tests of the proposed apparatus now indicate that an accuracy of 1 part in 10 17 is within the reach of this small mission
The stars of Galileo Galilei and the universal knowledge of Athanasius Kircher
Buonanno, Roberto
2014-01-01
In this fascinating book, the author traces the careers, ideas, discoveries, and inventions of two renowned scientists, Athanasius Kircher and Galileo Galilei, one a Jesuit, the other a sincere man of faith whose relations with the Jesuits deteriorated badly. The Author documents Kircher’s often intuitive work in many areas, including translating the hieroglyphs, developing sundials, and inventing the magic lantern, and explains how Kircher was a forerunner of Darwin in suggesting that animal species evolve. Galileo’s work on scales, telescopes, and sun spots is mapped and discussed, and care is taken to place his discoveries within their cultural environment. While Galileo is without doubt the “winner” in the comparison with Kircher, the latter achieved extraordinary insights by unconventional means. For all Galileo’s fine work, the author believes that scientists do need to regain the power of dreaming, vindicating Kirchner’s view.
'Galileo Galilei (GG) on the Ground-GGG': experimental results and perspectives
International Nuclear Information System (INIS)
Comandi, G.L.; Nobili, A.M.; Bramanti, D.; Toncelli, R.; Polacco, E.; Chiofalo, M.L.
2003-01-01
The GGG differential accelerometer is made of concentric coaxial test cylinders weakly coupled in the horizontal plane and spinning in supercritical regime around their symmetry axis. GGG is built as a full scale ground based prototype for the proposed 'Galileo Galilei-GG' space experiment aiming to test the equivalence principle (EP) to 10 -17 at room temperature. We report measured Q values of 95000 at 1.4 Hz, and expect even better ones at typical spin frequencies of a few Hz. An EP violation signal in the field of the Sun would appear as a low frequency displacement in the horizontal plane of the laboratory, and it can be separated out from a much larger whirl motion of the test masses at their natural differential frequency. So far we have managed to reduce the amplitude of this whirl to about 0.1 μm. We discuss how to improve these results in view of the very high accuracy GG experiment in space, and/or to reach a 10 -13 sensitivity in the lab which would allow us to either confirm or rule out recent predictions of violation to this level
'Galileo Galilei-GG': design, requirements, error budget and significance of the ground prototype
International Nuclear Information System (INIS)
Nobili, A.M.; Bramanti, D.; Comandi, G.L.; Toncelli, R.; Polacco, E.; Chiofalo, M.L.
2003-01-01
'Galileo Galilei-GG' is a proposed experiment in low orbit around the Earth aiming to test the equivalence principle to the level of 1 part in 10 17 at room temperature. A unique feature of GG, which is pivotal to achieve high accuracy at room temperature, is fast rotation in supercritical regime around the symmetry axis of the test cylinders, with very weak coupling in the plane perpendicular to it. Another unique feature of GG is the possibility to fly 2 concentric pairs of test cylinders, the outer pair being made of the same material for detection of spurious effects. GG was originally designed for an equatorial orbit. The much lower launching cost for higher inclinations has made it worth redesigning the experiment for a sun-synchronous orbit. We report the main conclusions of this study, which confirms the feasibility of the original goal of the mission also at high inclination, and conclude by stressing the significance of the ground based prototype of the apparatus proposed for space
Watson, Peter G
2009-01-01
Galileo Galilei became blind. Before this happened he revealed that his left eye had always had less than perfect vision. A study of his written works, his handwriting, and the originals of the portraits undertaken during his lifetime indicate that this probably was the case. These portraits suggest that his left eye tended to lose fixation and that, at the age of 60, he suffered from a mucocoele of the right frontal sinus; but these conditions would not have caused blindness. Considering the systemic diseases from which he suffered over his lifetime, he could possibly have had a long standing uveitis with secondary pupillary block glaucoma, common in those with the group of conditions classified as sero-negative arthropathies. Posterior scleritis with secondary glaucoma is less likely. If either of these were the cause, then the disease was probably triggered by a well-documented, severe acute illness as a young adult, the inflammation being localized to the eye as a result of severe recurrent conjunctival infections in his youth. The intermittent nature of the visual loss, the normal appearance of the cornea and pupils in his portraits, the absence of any evidence of inflammatory joint disease, the presence of halos, and the severe nature of the pain-combined with the high level of visual acuity in between attacks and its persistence until the last few weeks of vision means that angle-closure glaucoma must also be considered. These suggestions might be confirmed or refuted by studying his remains. Application has been made for this to be done.
International Nuclear Information System (INIS)
Comandi, G.L.; Toncelli, R.; Chiofalo, M.L.; Bramanti, D.; Nobili, A.M.
2006-01-01
'Galileo Galilei on the ground' (GGG) is a fast rotating differential accelerometer designed to test the equivalence principle (EP). Its sensitivity to differential effects, such as the effect of an EP violation, depends crucially on the capability of the accelerometer to reject all effects acting in common mode. By applying the theoretical and simulation methods reported in Part I of this work, and tested therein against experimental data, we predict the occurrence of an enhanced common mode rejection of the GGG accelerometer. We demonstrate that the best rejection of common mode disturbances can be tuned in a controlled way by varying the spin frequency of the GGG rotor
International Nuclear Information System (INIS)
Comandi, G.L.; Chiofalo, M.L.; Toncelli, R.; Bramanti, D.; Polacco, E.; Nobili, A.M.
2006-01-01
Recent theoretical work suggests that violation of the equivalence principle might be revealed in a measurement of the fractional differential acceleration η between two test bodies-of different compositions, falling in the gravitational field of a source mass--if the measurement is made to the level of η≅10 -13 or better. This being within the reach of ground based experiments gives them a new impetus. However, while slowly rotating torsion balances in ground laboratories are close to reaching this level, only an experiment performed in a low orbit around the Earth is likely to provide a much better accuracy. We report on the progress made with the 'Galileo Galilei on the ground' (GGG) experiment, which aims to compete with torsion balances using an instrument design also capable of being converted into a much higher sensitivity space test. In the present and following articles (Part I and Part II), we demonstrate that the dynamical response of the GGG differential accelerometer set into supercritical rotation-in particular, its normal modes (Part I) and rejection of common mode effects (Part II)-can be predicted by means of a simple but effective model that embodies all the relevant physics. Analytical solutions are obtained under special limits, which provide the theoretical understanding. A simulation environment is set up, obtaining a quantitative agreement with the available experimental data on the frequencies of the normal modes and on the whirling behavior. This is a needed and reliable tool for controlling and separating perturbative effects from the expected signal, as well as for planning the optimization of the apparatus
Meli, Domenico Bertoloni
2008-01-01
Moving from Paris, Pisa, and Oxford to London, Amsterdam, and Cambridge, this essay documents extensive collaborations between anatomists and mathematicians. At a time when no standard way to acknowledge collaboration existed, it is remarkable that in all the cases I discuss anatomists expressed in print their debt to mathematicians. The cases I analyze document an extraordinarily fertile period in the history of anatomy and science and call into question historiographic divisions among historians of science and medicine. I focus on Steno's Myology, showing how his collaboration with mathematician Viviani led to a geometrical treatment of muscular contraction and to an epistemology inspired by Galileo. The collaboration between Steno and Viviani enables us to interpret a major text in the history of anatomy, one whose implications had so far eluded historians.
Sinico, Michele
2012-01-01
The present paper focuses on Galileo's conception of perception. I take as my starting point the interpretation of the Galilean text by Piccolino and Wade (2008, Perception 37 1312-1340): Galileo's eye: a new vision of the senses in the work of Galileo Galilei. Three points are discussed: the criticism of naive realism, the theoretical role of perceptual laws, and the distinction between different qualities of experience. The conclusions support an alternative interpretation which underscores the crucial role of phenomenology of perception in Galileo's epistemology.
Olivotto, Cristina; Testa, Antonella
2010-12-01
We analyze the character of Galileo Galilei (1564-1642), one of the most famous scientists of all time, as portrayed in three significant movies: Luigi Maggi's Galileo Galilei (1909), Liliana Cavani's Galileo (1968), and Joseph Losey's Galileo (1975), the last one of which was based upon Bertolt Brecht's drama, Das Leben des Galilei (1947). We investigate the relationships between the main characteristics of these fictional Galileos and the most important twentieth-century Galilean historiographic models. We also analyze the veracity of the plots of these three movies and the role that historical and scientific consultants played in producing them. We conclude that connections between these three movies and Galilean historiographic models are far from evident, that other factors deeply influenced the representation of Galileo on the screen.
Hall, Alfred Rupert
1982-01-01
The near century (1630–1720) that separates the important astronomical findings of Galileo Galilei (1564–1642) and the vastly influential mathematical work of Sir Isaac Newton (1642–1727) represents a pivotal stage of transition in the history of science. Tracing the revolution in physics initiated by Galileo and culminating in Newton's achievements, this book surveys the work of Huygens, Leeuwenhoek, Boyle, Descartes, and others. 35 illustrations.
Straulino, Samuele; Terzuoli, Alessandra
2010-01-01
In the first months of 2009, the International Year of Astronomy, the authors developed an educational project for middle-level students connected with the first astronomical discoveries that Galileo Galilei (1564-1642) made 400 years ago. The project included the construction of a basic telescope and the observation of the Moon. The project, if…
International Nuclear Information System (INIS)
Santilli, R.M.
1991-09-01
In this note we further develop the proposal made in preceding works of constructing the infinite family of Lie-isotopic liftings of Galilei's relativity for closed-isolated systems of particles possessing local, potential and selfadjoint, as well as nonlocal, nonhamiltonian and non selfadjoint internal forces. In particular, we show that the nonlinear and nonlocal generalization of the Galilei transformations introduced in a preceding note do indeed represent motion of extended particles within resistive media, but in such a way to coincide with the conventional transformations at the abstract, realization-free level. This allows the preservation of the basic, physical and mathematical axioms of Galilei's relativity under our liftings, and their realization in the most general possible nonlinear, nonlocal and nonhamiltonian way. (author). 18 refs, 1 fig
The giant planets; Galileo Galilei to Project Galileo
International Nuclear Information System (INIS)
Hide, R.
1984-01-01
This article outlines some of the main characteristics of the giant planets Jupiter and Saturn, and discusses aspects of their study in which the author has been interested for a number of years, namely the circulation of their atmospheres, the structure of their interiors, and the origin of their magnetic fields. (author)
Carroll versus Galilei gravity
Energy Technology Data Exchange (ETDEWEB)
Bergshoeff, Eric [Centre for Theoretical Physics, University of Groningen,Nijenborgh 4, 9747 AG Groningen (Netherlands); Gomis, Joaquim [Departament de Física Cuàntica i Astrofísica and Institut de Ciències del Cosmos,Universitat de Barcelona,Martí i Franquès 1, E-08028 Barcelona (Spain); Rollier, Blaise [Centre for Theoretical Physics, University of Groningen,Nijenborgh 4, 9747 AG Groningen (Netherlands); Rosseel, Jan [Faculty of Physics, University of Vienna,Boltzmanngasse 5, A-1090 Vienna (Austria); Veldhuis, Tonnis ter [Centre for Theoretical Physics, University of Groningen,Nijenborgh 4, 9747 AG Groningen (Netherlands)
2017-03-30
We consider two distinct limits of General Relativity that in contrast to the standard non-relativistic limit can be taken at the level of the Einstein-Hilbert action instead of the equations of motion. One is a non-relativistic limit and leads to a so-called Galilei gravity theory, the other is an ultra-relativistic limit yielding a so-called Carroll gravity theory. We present both gravity theories in a first-order formalism and show that in both cases the equations of motion (i) lead to constraints on the geometry and (ii) are not sufficient to solve for all of the components of the connection fields in terms of the other fields. Using a second-order formalism we show that these independent components serve as Lagrange multipliers for the geometric constraints we found earlier. We point out a few noteworthy differences between Carroll and Galilei gravity and give some examples of matter couplings.
Scaling Laws in Galileo: An Educational Proposal
Straulino, S.
2011-01-01
In his "Two New Sciences" Galileo Galilei deals with the strength of objects, discussing how it changes with size. Our daily life offers many examples of effects due to change of dimensions and sometimes the consequences are unintuitive. This subject is really interesting for secondary school students and it can be presented through simple…
Jovian discoveries; how Galileo explored the Jovian system fifteen years ago
Willems, T.
2011-01-01
Ever since the famous astronomer Galileo Galilei improved his telescope making it possible to look further into space, people have been staring through telescopes into the far distance in search of new worlds. In January 1610 Galilei discovered the four biggest satellites of Jupiter: Io, Europa,
Harris, Margaret
2017-12-01
Sofia Vasilyevna Kovalevskaia is surely the only person in history who became a mathematician because of a botched redecoration project. She is one of 25 mathematicians profiled in Ian Stewart's book Significant Figures: the Lives and Work of Great Mathematicians.
Artist concept of Galileo spacecraft
1988-01-01
Galileo spacecraft is illustrated in artist concept. Gallileo, named for the Italian astronomer, physicist and mathematician who is credited with construction of the first complete, practical telescope in 1620, will make detailed studies of Jupiter. A cooperative program with the Federal Republic of Germany the Galileo mission will amplify information acquired by two Voyager spacecraft in their brief flybys. Galileo is a two-element system that includes a Jupiter-orbiting observatory and an entry probe. Jet Propulsion Laboratory (JPL) is Galileo project manager and builder of the main spacecraft. Ames Research Center (ARC) has responsibility for the entry probe, which was built by Hughes Aircraft Company and General Electric. Galileo will be deployed from the payload bay (PLB) of Atlantis, Orbiter Vehicle (OV) 104, during mission STS-34.
Galileo's Instruments of Credit Telescopes, Images, Secrecy
Biagioli, Mario
2006-01-01
In six short years, Galileo Galilei went from being a somewhat obscure mathematics professor running a student boarding house in Padua to a star in the court of Florence to the recipient of dangerous attention from the Inquisition for his support of Copernicanism. In that brief period, Galileo made a series of astronomical discoveries that reshaped the debate over the physical nature of the heavens: he deeply modified the practices and status of astronomy with the introduction of the telescope and pictorial evidence, proposed a radical reconfiguration of the relationship between theology and a
Verifying Galileo's discoveries: telescope-making at the Collegio Romano
Reeves, Eileen; van Helden, Albert
The Jesuits of the Collegio Romano in Rome, especially the mathematicians Clavius and Grienberger, were very interested in Galilei's discoveries. After they had failed to recognize with telescopes of own construction the celestial phenomena, they expressed serious doubts. But from November 1610 onward, after they had built a better telescope and had obtained from Venice another one in addition, and could verify Galilei's observations, they completely accepted them. Clavius, who stuck to the Ptolemaic system till his death in 1612, even pointed out these facts in his last edition of Sacrobosco's Sphaera. He as well as his conpatres, however, avoided any conclusions with respect to the planetary system.
Galileo and Music: A Family Affair
Fabris, D.
2011-06-01
According to Viviani, Galileo's first biographer, the scientist was an excellent keyboard and lute player. In turn Vincenzo Galilei, father of the illustrious scientist, had been one of the most influential music theorist of his age and also a great composer and virtuoso of the lute. Galileo and his brother Michelangelo, born in 1575, inherited Vincenzo's duel skills, both in theory and practical music: Galileo's correspondences show indeed his competence in the music and in the lute playing; Michelagnolo, after being educated in part in Galileo's house in Padua, transferred to Germany in Munich, where he became a court lute player. Nevertheless, Galileo helped for the rest of his life not only his brother but also his nephews, as documented in dozen of family letters quite important to establish the central role of the music in Galileo's everyday life, a fact almost ignored by most modern biographers. The importance of music in Galileo's output and life has been first outlined by the historian of sciences Stillman Drake and by the musicologist Claude Palisca. After their studies starting in the 1960s there is a great belief that Vincenzo influenced his son Galileo, directing him towards experimentation. The aim of this paper, following the reconstruction of Galileo's soundscape proposed by Pierluigi Petrobelli, is to reexamine the surviving historical accounts on the musical passion and talent of Galileo and his family in the several houses where they performed music (in Florence, Padua, Munich, etc.) in particular on the lute, the instrument that was an important experimental tool for the scientist.
Yoon, Caroline
2017-01-01
Popular culture casts mathematics and writing as opposites--a false dichotomy, which can be harmful for our discipline of mathematics education. Positioning writing outside the domain of the mathematician's abilities and cultivated skill set can create doubt in the mathematician wishing to write--not that one cannot be both writer and…
Weiss, Michael K.; Moore-Russo, Deborah
2012-01-01
What does it mean to think like a mathematician? One of the great paradoxes of mathematics education is that, although mathematics teachers are immersed in mathematical work every day of their professional lives, most of them nevertheless have little experience with the kind of work that research mathematicians do. Their ideas of what doing…
Galileo, measurement of the velocity of light, and the reaction times.
Foschi, Renato; Leone, Matteo
2009-01-01
According to the commonly accepted view, Galileo Galilei devised in 1638 an experiment that seemed able to show that the velocity of light is finite. An analysis of archival material shows that two decades later members of the Florence scientific society Accademia del Cimento followed Galileo guidelines by actually attempting to measure the velocity of light and suggesting improvements. This analysis also reveals a fundamental difference between Galileo's and Florence academy's methodologies and that Galileo's experiment was, in some respects, a pioneering work affecting also the history of the psychology of perception.
What are mathematicians doing?
Friedman, B
1966-10-21
Let me emphasize the point I have been trying to make. The mathematician's playing with the roots of equations, a play which had no practical motivations and almost no possibilities of practical application, led to the recognition of the importance of symmetry and groups. The study of theory of groups led to mathematical discoveries in geometry and differential equations, and finally to prediction of the existence of a new elementary particle. Surely a surprising outcome for the ivory-tower speculations of an impractical mathematician! Despite my professional bias, I must acknowledge that the importance of symmetry was recognized before mathematicians invented the theory of groups. In 1794 William Blake wrote: Tiger, Tiger, burning bright In the forests of the night, What immortal hand or eye Could frame thy fearful symmetry? However, to the mathematicians must be given the credit of recognizing that, to understand symmetry, you must study the theory of groups. I can now answer my original question, What are mathematicians doing? They are trying to make precise the intuitions of poets.
Ulam, S. M.
2014-11-01
When I was asked to give a talk here, being just a mathematician among the distinguished array of physicists invited to speak, I had great hesitation. Then it occurred to me, if Viki Weisskopf can conduct a symphony orchestra, maybe I can talk about physics. I felt consoled until yesterday evening when I discovered that he is a professional, and so I feel very, hesitant again. My title, "Physics for Mathematicians", will almost mean physics without mathematics. My interest is really to paraphrase a famous statement, not what mathematics can do for physics, but what physics can do for mathematics. That is the underlying motive...
Mazliak, Laurent
2009-01-01
Italian mathematician Volterra struggled to carry Italy into the World War I in May 1915 and then developed a frenetic activity to support the war effort. This activity found an adequate echo what did his French colleagues Borel, Hadamard and Picard. This book proposes the transcription of the correspondence they exchanged during the war
The Great Mathematician Project
Goldberg, Sabrina R.
2013-01-01
The Great Mathematician Project (GMP) introduces both mathematically sophisticated and struggling students to the history of mathematics. The rationale for the GMP is twofold: first, mathematics is a uniquely people-centered discipline that is used to make sense of the world; and second, students often express curiosity about the history of…
The Vacillating Mathematician -34 ...
Indian Academy of Sciences (India)
K B Athreya. In the first part of this article, the author described the deterministic version of the Vacillating Math- ematician. Stochastic generalizations of this idea lead to interesting Markov chain problems. Recall the first stochastic generalization of the Vacillating. Mathematician given at the end of the first part of this ar- ticle.
DEFF Research Database (Denmark)
Niss, Martin
2018-01-01
After World War II, quite a few mathematicians were attracted to the modeling of phase transitions as this area of physics was seeing considerable mathematical difficulties. This paper studies their contributions to the physics of phase transitions, and in particular those of the by far most...
Galileo's Lute and the Law of Falling Bodies
Thompson, Mark
2008-05-01
Galileo's Lute and the Law of Falling Bodies is an excerpt from Galileo 1610. Galileo 1610 is a dramatic, musical and intellectual odyssey back to the life and times of Galileo Galilei, the famous 17th century Italian scientist and philosopher. It commemorates the 400th anniversary of Galileo's discoveries with his telescope in 1610. Dressed in authentic Renaissance attire as Galileo, the author-- a cantorial soloist and amateur astronomer-- tells the fascinating story of "The Father of Modern Science,” drawing from the actual correspondence and writings of Galileo, as well as those of his many biographers. Through his dialogue with the audience on a wide range of discoveries and opinions, "Galileo” shares his wisdom and his life experiences with pathos, wit and humor, lacing his narration with entertaining lute songs from the late Renaissance period, some of which were actually composed by Galileo's father, Vincenzo. Bridging the past to the present, the author breathes life into "Galileo” as he once again frolics and struggles among us. In bringing forth some of life's great issues, we learn something about our own inquisitive nature, as well as that of science and music. The author has appeared as Galileo for over a decade on radio, at community theatres and libraries, public schools, colleges and universities throughout the country. He has performed for civic organizations, astronomy association conventions, marketing and outreach programs as well as private events and parties. Galileo 1610 is suitable for a variety of educational and entertainment programs, for both children and adults. All presentations are tailored to fit the interest, experience and size of the audience.
Supersymmetry for mathematicians
Varadarajan, V S
2004-01-01
Supersymmetry has been the object of study by theoretical physicists since the early 1970's. In recent years it has attracted the interest of mathematicians because of its novelty, and because of significance, both in mathematics and physics, of the main issues it raises. This book presents the foundations of supersymmetry to the mathematically minded reader in a cogent and self-contained manner. It begins with a brief introduction to the physical foundations of the theory, especially the classification of relativistic particles and their wave equations, such as the equations of Dirac and Weyl
Becoming and Being a Mathematizing Mathematician
De Geest, Els
2012-01-01
What does "to be a mathematician" mean? What is implied, and what image is created of "a mathematician"? Are "mathematicians" members of an exclusive club? Are mathematicians different to "other people"? Are mathematicians different because they are able to mathematize? These might not be the most oft asked questions, but are they questions to…
Famous puzzles of great mathematicians
Petković, Miodrag S
2009-01-01
This entertaining book presents a collection of 180 famous mathematical puzzles and intriguing elementary problems that great mathematicians have posed, discussed, and/or solved. The selected problems do not require advanced mathematics, making this book accessible to a variety of readers. Mathematical recreations offer a rich playground for both amateur and professional mathematicians. Believing that creative stimuli and aesthetic considerations are closely related, great mathematicians from ancient times to the present have always taken an interest in puzzles and diversions. The goal of this
Mathematicians, Attributional Complexity, and Gender
Stalder, Daniel R.
Given indirect indications in sex role and soda! psychology research that mathematical-deductive reasoning may negatively relate to social acuity, Study 1 investigated whether mathematicians were less attributionally complex than nonmathematicians. Study 1 administered the Attributional Complexity Scale, a measure of social acuity, to female and male faculty members and graduate students in four Midwestern schools. Atlrihutional complexity (AC) is the ability and motivation to give complex explanations for behavior. Study 1 found a significant interaction between field and gender. Only among women did mathematicians score lower on AC. In addition, an established gender difference in AC (that women score higher than men) was present only among nonmathematicians. Studies 2 and 3 offered some preliminary support for the possibility that it is generally female students who score tow on AC who aspire to he mathematicians and for the underlying view that female students' perceived similarity to mathematicians can influence their vocational choices.
BOOK REVIEW: Galileo's Muse: Renaissance Mathematics and the Arts
Peterson, Mark; Sterken, Christiaan
2013-12-01
Galileo's Muse is a book that focuses on the life and thought of Galileo Galilei. The Prologue consists of a first chapter on Galileo the humanist and deals with Galileo's influence on his student Vincenzo Viviani (who wrote a biography of Galileo). This introductory chapter is followed by a very nice chapter that describes the classical legacy: Pythagoreanism and Platonism, Euclid and Archimedes, and Plutarch and Ptolemy. The author explicates the distinction between Greek and Roman contributions to the classical legacy, an explanation that is crucial for understanding Galileo and Renaissance mathematics. The following eleven chapters of this book arranged in a kind of quadrivium, viz., Poetry, Painting, Music, Architecture present arguments to support the author's thesis that the driver for Galileo's genius was not Renaissance science as is generally accepted but Renaissance arts brought forth by poets, painters, musicians, and architects. These four sets of chapters describe the underlying mathematics in poetry, visual arts, music and architecture. Likewise, Peterson stresses the impact of the philosophical overtones present in geometry, but absent in algebra and its equations. Basically, the author writes about Galileo, while trying to ignore the Copernican controversy, which he sees as distracting attention from Galileo's scientific legacy. As such, his story deviates from the standard myth on Galileo. But the book also looks at other eminent characters, such as Galileo's father Vincenzo (who cultivated music and music theory), the painter Piero della Francesca (who featured elaborate perspectives in his work), Dante Alighieri (author of the Divina Commedia), Filippo Brunelleschi (who engineered the dome of the Basilica di Santa Maria del Fiore in Florence, Johannes Kepler (a strong supporter of Galileo's Copernicanism), etc. This book is very well documented: it offers, for each chapter, a wide selection of excellent biographical notes, and includes a fine
Poole, Michael
1990-01-01
Presented is background material on Galileo and his views on astronomy, religion, and Copernicus. The history of theory development related to the science of astronomy and a review of Galileo's writings are included. (KR)
Dismantling of the research reactor RTS-1 Galileo Galilei in Pisa (Italy)
International Nuclear Information System (INIS)
Ruiz Martinez, J. t.; Farella, G.; Cimini, E.; Russo, M.
2014-01-01
This paper is about the most relevant aspects of the first phase of the dismantling, removal of the water in the pool, prior treatment through evaporation, the dismantling of all the submerged activated elements and other activated or contaminated elements that have been part of the nuclear facility. (Author)
Galilei in vprašanje o uglasitvi
Directory of Open Access Journals (Sweden)
Nejc Sukljan
2012-06-01
Full Text Available Prispevek obravnava vprašanje o uglasitvi, kot se izpostavlja v traktatu Dialogo della musica antica et della moderna Vincenza Galileija, enega osrednjih italijanskih teoretikov 16. stoletja. Predstavljeni so njegov poskus določitve glasbenoakustičnega sistema časa, kritika slednjega in hkrati poskus postavitve novega sistema, ki ga Galilei predstavi ob primeru uglasitve lutnje.
Galileo positioning technology
Lohan, Elena; Sand, Stephan; Hurskainen, Heikki
2015-01-01
This book covers multi-band Galileo receivers (especially E1-E5 bands of Galileo) and addresses all receiver building blocks, from the antenna and front end, through details of the baseband receiver processing blocks, up to the navigation processing, including the Galileo message structure and Position, Velocity, Time (PVT) computation. Moreover, hybridization solutions with communications systems for improved localization are discussed and an open-source GNSS receiver platform (available for download) developed at Tampere University of Technology (TUT) is addressed in detail. • Takes a holistic approach to GALILEO and related systems, such as EGNOS and hybrid solutions on mobile phones; • Provides an invaluable reference to Binary Offset Carrier modulations and related families, which are some of the trademarks of GALILEO; • Includes a detailed survey of GALILEO receiver research in Europe and existing software-defined radio (SDR) GALILEO receiver implementations; • Addresses the multiple challen...
Famous Problems and Their Mathematicians
Johnson, Art
1999-01-01
Why did ordering an omelet cost one mathematician his life? Answers to this and other questions are found in this exciting new resource that shows your students how 60 mathematicians discovered mathematical solutions through everyday situations. These lessons are easily incorporated into the present curriculum as an introduction to a math concept, a homework piece, or an extra challenge. Teacher notes and suggestions for the classroom are followed by extension problems and additional background material. This is a great way to spark student interest in math. Grades 5-12.
Strebel, Christoph
2006-01-01
Galileo's publication of observations made with his newly reinvented telescope provoked a fierce debate. In April 1610 Martinus Horky, a young Bohemian astronomer, had an opportunity to make his own observations with Galileo's telescope in the presence of Antonio Magini and other astronomers. Horky and the other witnesses denied the adequacy of Galileo's telescope and therefore the bona fides of his discoveries. Kepler conjectured Horky as well as all his witnesses to be myopic. But Kepler's objection could not stop the publication of Horky's Peregrinatio contra nuncium sidereum (Modena, 1610), the first printed refutation of Galileo's Sidereus nuncius. In his treatise, Horky adresses four questions: 1) Do the four newly observed heavenly bodies actually exist? Horky denies their existence on various grounds: a) God, as every astronomer teaches, has created only seven moveable heavenly bodies and astronomical knowledge originates in God, too. b) Heavenly bodies are either stars or planets. Galileo's moveable heavenly bodies fit into neither category. c) If they do exist, why have they not already been observed by other scholars? Horky concludes that there are no such heavenly bodies. 2) What are these phenomena? They are purely artefactual, and produced by Galileo's telescope. 3) How are they like? Galileo's "stars" are so small as to be almost invisible. Galileo claims that he has measured their distances from each other. This however is impossible due to their diminutive size and other observational problems. Hence, Galileo's claim is a further proof that he is a fraud. 4) Why are they? For Galileo they are a chance to earn money but for astronomers like Horky they are a reason to offer thanks and honour to God. Horky's treatise was favourably received by the enemies of Galileo. But Kepler's critique was devastating. After calling on Kepler in Prague, Horky had to revoke the contents of his book.
National Aeronautics and Space Administration, Washington, DC.
This guide presents an activity for helping students understand how data from the Galileo spacecraft is sent to scientists on earth. Students are asked to learn about the concepts of bit-rate and resolution and apply them to the interpretation of images from the Galileo Orbiter. (WRM)
Grimmett, Richard
2015-01-01
This book is for anyone who has ever been curious about using the Intel Galileo to create electronics projects. Some programming background is useful, but if you know how to use a personal computer, with the aid of the step-by-step instructions in this book, you can construct complex electronics projects that use the Intel Galileo.
Arnone, Stefano; Moauro, Francesco; Siccardi, Matteo
2017-01-01
The year 2014 marked the four-hundred-and-fiftieth anniversary of Galileo's birth, making it the perfect occasion to present and illustrate a GeoGebra applet which reproduces some of Galileo's celebrated experiments on the uniformly accelerated motion, as reported on in "Discourses and Mathematical Demonstrations Relating to Two New…
[Galileo and centrifugal force].
Vilain, Christiane
This work intends to focus on Galileo's study of what is now called "centrifugal force," within the framework of the Second Day of his Dialogo written in 1632, rather than on the previously published commentaries on the topic. Galileo proposes three geometrical demonstrations in order to prove that gravity will always overcome centrifugalforce, and that the potential rotation of the Earth, whatever its speed, cannot in any case project objects beyond it. Each of these demonstrations must consequently contain an error and it has seemed to us that the first one had not been understood up until now. Our analysis offers an opportunity to return to Galileo's geometrical representation of dynamical questions; actually, we get an insight into the sophistication of Galileo's practices more than into his mistakes. Our second point, concerning the historiography of the problem, shows an evolution from anachronic critics to more contextual considerations, in the course of the second half of the twentieth century.
"Mathematicians Would Say It This Way": An Investigation of Teachers' Framings of Mathematicians
Cirillo, Michelle; Herbel-Eisenmann, Beth
2011-01-01
Although popular media often provides negative images of mathematicians, we contend that mathematics classroom practices can also contribute to students' images of mathematicians. In this study, we examined eight mathematics teachers' framings of mathematicians in their classrooms. Here, we analyze classroom observations to explore some of the…
Drawing Space: Mathematicians' Kinetic Conceptions of Eigenvectors
Sinclair, Nathalie; Gol Tabaghi, Shiva
2010-01-01
This paper explores how mathematicians build meaning through communicative activity involving talk, gesture and diagram. In the course of describing mathematical concepts, mathematicians use these semiotic resources in ways that blur the distinction between the mathematical and physical world. We shall argue that mathematical meaning of…
Research Mathematicians' Practices in Selecting Mathematical Problems
Misfeldt, Morten; Johansen, Mikkel Willum
2015-01-01
Developing abilities to create, inquire into, qualify, and choose among mathematical problems is an important educational goal. In this paper, we elucidate how mathematicians work with mathematical problems in order to understand this mathematical process. More specifically, we investigate how mathematicians select and pose problems and discuss to…
Mathematicians' Perspectives on the Utility of Software
Quinlan, James
2016-01-01
In this study, we examine mathematicians' perspectives of the utility of software in mathematics and the teaching of mathematics. In particular, we report findings from a survey questioning 422 mathematicians with respect to their beliefs regarding the usefulness of software in mathematics research, teaching, and learning; recommended software…
Tales of physicists and mathematicians
Gindikin, Semyon Grigorevich
1988-01-01
This revised and greatly expanded second edition of the classic Russian text Tales of Mathematicians and Physicists contains a wealth of new information about the lives and accomplishments of more than a dozen scientists throughout history. Included are individuals from the late nineteenth century: Klein, Poincaré, Ramanujan, and Penrose, as well as renowned figures from earlier eras, such as Leibniz, Euler, Lagrange, and Laplace. A unique mixture of mathematics, physics, and history, this volume provides biographical glimpses of scientists and their contributions in the context of the social and political background of their times. The author examines many original sources, from the scientists’ research papers to their personal documents and letters to friends and family; furthermore, detailed mathematical arguments and diagrams are supplied to help explain some of the most significant discoveries in calculus, celestial mechanics, number theory, and modern relativity. What emerges are intriguing, multifac...
Home automation with Intel Galileo
Dundar, Onur
2015-01-01
This book is for anyone who wants to learn Intel Galileo for home automation and cross-platform software development. No knowledge of programming with Intel Galileo is assumed, but knowledge of the C programming language is essential.
The Cambridge companion to Galileo
1998-01-01
This collection of essays is unparalleled in the depth of its coverage of all facets of Galileo's work. A particular feature of the volume is the treatment of Galileo's relationship with the Church. It will be of particular interest to philosophers, historians of science, cultural historians and those in religious studies. New readers and nonspecialists will find this the most convenient, accessible guide to Galileo available. Advanced students and specialists will find a conspectus of recent developments in the interpretation of Galileo.
Galileo Station Keeping Strategy
Perez-Cambriles, Antonio; Bejar-Romero, Juan Antonio; Aguilar-Taboada, Daniel; Perez-Lopez, Fernando; Navarro, Daniel
2007-01-01
This paper presents analyses done for the design and implementation of the Maneuver Planning software of the Galileo Flight Dynamics Facility. The station keeping requirements of the constellation have been analyzed in order to identify the key parameters to be taken into account in the design and implementation of the software.
Atkinson, D; Peijnenburg, J
Galileo claimed inconsistency in the Aristotelian dogma concerning failing bodies and stated that all bodies must fall at the same rate. However, there is an empirical situation where the speeds of falling bodies are proportional to their weights; and even in vacuo all bodies do not fall at the same
Becoming a mathematician an international perspective
Wood, Leigh N; Reid, Anna
2012-01-01
Based on interviews, observations and surveys conducted in Australia, South Africa, Northern Ireland, Canada and Brunei, this book investigates the experiences and views of students and graduates in the process of seeking their identities as mathematicians.
Dual transformations of the non-abelian fields in Minkowsky, Euclid, and Galilei-Newton spaces
International Nuclear Information System (INIS)
Tolkaehev, E.A.; Kurochkin, Y.A.; Trequbovich, A.Y.
1991-01-01
In this paper it is shown that the generalization of the Yang-Mills equations in Minkowsky space to the case of the biquaternions over dual and double numbers enables one to define the corresponding representations of the Galilei and SO(4) groups in a rather natural way. it makes construction of the non-Abelian field equations in Euclidean and Galilei-Newton spaces possible and proves their invariance under generalized dual transformations by use of the analogy with the Abelian gauge
Art in the life of mathematicians
Atiyah, Michael Francis
2015-01-01
I have always admired the abstraction ability of composers. The ingenious construction of beautiful patterns that can evoke such powerful emotions seems nothing short of magical. While mathematicians too construct beautiful patterns, I fear that few outside the math community appreciate that beauty or find any magic in it. I hope that this wonderful collection of articles, written by mathematicians who are themselves artists, will help better explain the many varied connections between mathematics and the arts, and illuminate better the beauty and magic in math. -Avi Wigderson, Institute for A
Electric Chern-Simons term, enlarged exotic Galilei symmetry and noncommutative plane
International Nuclear Information System (INIS)
Olmo, Mariano A. del; Plyushchay, Mikhail S.
2006-01-01
The extended exotic planar model for a charged particle is constructed. It includes a Chern-Simons-like term for a dynamical electric field, but produces usual equations of motion for the particle in background constant uniform electric and magnetic fields. The electric Chern-Simons term is responsible for the noncommutativity of the boost generators in the 10-dimensional enlarged exotic Galilei symmetry algebra of the extended system. The model admits two reduction schemes by the integrals of motion, one of which reproduces the usual formulation for the charged particle in external constant electric and magnetic fields with associated field-deformed Galilei symmetry, whose commuting boost generators are identified with the nonlocal in time Noether charges reduced on-shell. Another reduction scheme, in which electric field transmutes into the commuting space translation generators, extracts from the model a free particle on the noncommutative plane described by the twofold centrally extended Galilei group of the nonrelativistic anyons
Group Theory, Computational Thinking, and Young Mathematicians
Gadanidis, George; Clements, Erin; Yiu, Chris
2018-01-01
In this article, we investigate the artistic puzzle of designing mathematics experiences (MEs) to engage young children with ideas of group theory, using a combination of hands-on and computational thinking (CT) tools. We elaborate on: (1) group theory and why we chose it as a context for young mathematicians' experiences with symmetry and…
Daxecker, Franz
Christopher Grienberger was born on July 2, 1561 in Hall in Tyrol, Austria. In 1580 he joined the Society of Jesus (Jesuits). Grienberger studied in Prague and Vienna and succeeded his tutor, Christopher Clavius, as a professor of mathematics at the Roman College. Grienberger gave lectures in astronomy in order to prepare fellow Jesuits for their missionary work in China and constructed the equatorial set-up of the telescope. Among his works is a list of fixed stars, and he even worked in the science of optics. Grienberger sympathized with Galileo's theory of motion but was told to defend the Aristotelian view by the Father General of the Jesuits, Claudio Aquaviva. Grienberger died on March 11, 1636, and is buried in Rome.
Generalizing Galileo's Passe-Dix Game
Hombas, Vassilios
2012-01-01
This article shows a generalization of Galileo's "passe-dix" game. The game was born following one of Galileo's [G. Galileo, "Sopra le Scoperte dei Dadi" (Galileo, Opere, Firenze, Barbera, Vol. 8). Translated by E.H. Thorne, 1898, pp. 591-594] explanations on a paradox that occurred in the experiment of tossing three fair "six-sided" dice.…
Becoming Galileo in the Classroom
Cavicchi, Elizabeth
2011-04-01
Galileo's contributions are so familiar as to be taken for granted, obscuring the exploratory process by which his discoveries arose. The wonder that Galileo experienced comes alive for undergraduates and teachers that I teach, when they find themselves taking Galileo's role by means of their own explorations. These classroom journeys include: sighting through picture frames to understand perspective, watching the night sky, experimenting with lenses and motion, and responding to Galileo's story. In teaching, I use critical exploration, the research pedagogy developed by Eleanor Duckworth that arose historically from both the clinical interviewing of Jean Piaget and B"arbel Inhelder and the Elementary Science Study of the 1960s. During critical explorations, the teacher supports students' investigations by posing provocative experiences while interactively following students' emergent understandings. In the context of Galileo, students learned to observe carefully, trust their observations, notice things they had never noticed before, and extend their understanding in the midst of pervasive confusion. Personal investment moved students to question assumptions that they had never critically evaluated. By becoming Galileo in today's classroom, we found the ordinary world no less intriguing and unsettling to explore, as the historical world of protagonists in Galileo's Dialogue.
Mathematicians' Views on Current Publishing Issues: A Survey of Researchers
Fowler, Kristine K.
2011-01-01
This article reports research mathematicians' attitudes about and activity in specific scholarly communication areas, as captured in a 2010 survey of more than 600 randomly-selected mathematicians worldwide. Key findings include: (1) Most mathematicians have papers in the arXiv, but posting to their own web pages remains more common; (2) A third…
Mathematicians' Perspectives on Features of a Good Pedagogical Proof
Lai, Yvonne; Weber, Keith; Mejia-Ramos, Juan Pablo
2012-01-01
In this article, we report two studies investigating what mathematicians value in a pedagogical proof. Study 1 is a qualitative study of how eight mathematicians revised two proofs that would be presented in a course for mathematics majors. These mathematicians thought that introductory and concluding sentences should be included in the proofs,…
Galileo a very short introduction
Drake, Stillman
2001-01-01
In a startling reinterpretation of the evidence, Stillman Drake advances the hypothesis that Galileo's trial and condemnation by the Inquisition was caused not by his defiance of the Church, but by the hostility of contemporary philosophers. Galileo's own beautifully lucid arguments are used to show how his scientific method was utterly divorced from the Aristotelian approach to physics in that it was based on a search not for causes but for laws. Galileo's method was of overwhelming significance for the development of modern physics, and led to a final parting of the ways between science and
What Does Galileo's Discovery of Jupiter's Moons Tell Us About the Process of Scientific Discovery?
Lawson, Anton E.
In 1610, Galileo Galilei discovered Jupiter''smoons with the aid of a new morepowerful telescope of his invention. Analysisof his report reveals that his discoveryinvolved the use of at least three cycles ofhypothetico-deductive reasoning. Galileofirst used hypothetico-deductive reasoning to generateand reject a fixed star hypothesis.He then generated and rejected an ad hocastronomers-made-a-mistake hypothesis.Finally, he generated, tested, and accepted a moonhypothesis. Galileo''s reasoningis modeled in terms of Piaget''s equilibration theory,Grossberg''s theory of neurologicalactivity, a neural network model proposed by Levine &Prueitt, and another proposedby Kosslyn & Koenig. Given that hypothetico-deductivereasoning has played a rolein other important scientific discoveries, thequestion is asked whether it plays a rolein all important scientific discoveries. In otherwords, is hypothetico-deductive reasoningthe essence of the scientific method? Possiblealternative scientific methods, such asBaconian induction and combinatorial analysis,are explored and rejected as viablealternatives. Educational implications of thishypothetico-deductive view of scienceare discussed.
International Nuclear Information System (INIS)
Lopes, Rosaly M C; Williams, David A
2005-01-01
Io, the volcanically active innermost large moon of Jupiter, was a target of intense study during the recently completed NASA Galileo mission to Jupiter (1989-2003). Galileo's suite of instruments obtained unprecedented observations of Io, including high spatial resolution imaging in the visible and infrared. This paper reviews the insights gained about Io's surface, atmosphere and space environment during the Galileo mission. Io is thought to have a large Fe-FeS core, whose radius is slightly less than half the radius of Io and whose mass is 20% of the moon. The lack of an intrinsic magnetic field implies that the core is either completely solid or completely liquid. The mantle of Io appears to undergo a high degree of partial melting (20-50% molten) that produces ultramafic lavas dominated by Mg-rich orthopyroxene in an apparent 'mushy magma ocean', suggesting an undifferentiated mantle. The crust of Io is thought to be rigid, 20-30 km thick, cold away from volcanic heat sources and composed of mafic to ultramafic silicates. Tidal flexing due to Io's orbital resonance produces ∼100 m tides at the surface, generating heat that powers Io's volcanism. Silicate volcanism appears to be dominant at most hot spots, although secondary sulfur volcanism may be important in some areas. The key discoveries of the Galileo era at Io were: (1) the detection of high-temperature volcanism (ultramafic, superheated mafic or 'ceramic'); (2) the detection of both S 2 and SO 2 gas in Ionian plumes; (3) the distinction between eruption styles, including between Pelean plumes (originating from central vents) and Promethean plumes (originating from silicate lava flow fronts); (4) the relationship between mountains and paterae, which indicates that many paterae are formed as magma preferentially ascends along tectonic faults associated with mountain building; (5) the lack of detection of an intrinsic magnetic field; (6) a new estimate of global heat flow; and (7) increased understanding
Working in the shadow of Galileo
2005-01-01
A new institute for theoretical particle physcis has opened on the outskirts of Florence. The Gallileo Galilei institute (GGI) will host small workshops, typically lasting two to three months, devoted to a specific subject area (1/2 page)
Galileo's Trajectory with Mild Resistance
Groetsch, C. W.
2012-01-01
An aspect of Galileo's classical trajectory that persists in a simple resistance model is noted. The resistive model provides a case study for the classroom analysis of limiting behaviour of an implicitly defined function. (Contains 1 note.)
Higher-derivative mechanics with N = 2 l -conformal Galilei supersymmetry
Masterov, Ivan
2015-02-01
The analysis previously developed in [J. Math. Phys. 55 102901 (2014)] is used to construct systems which hold invariant under N = 2 l -conformal Galilei superalgebra. The models describe two different supersymmetric extensions of a free higher-derivative particle. Their Newton-Hooke counterparts are derived by applying appropriate coordinate transformations.
Recollections of a jewish mathematician in Germany
2016-01-01
Abraham A. Fraenkel was a world-renowned mathematician in pre–Second World War Germany, whose work on set theory was fundamental to the development of modern mathematics. A friend of Albert Einstein, he knew many of the era’s acclaimed mathematicians personally. He moved to Israel (then Palestine under the British Mandate) in the early 1930s. In his autobiography Fraenkel describes his early years growing up as an Orthodox Jew in Germany and his development as a mathematician at the beginning of the twentieth century. This memoir, originally written in German in the 1960s, has now been translated into English, with an additional chapter covering the period from 1933 until his death in 1965 written by the editor, Jiska Cohen-Mansfield. Fraenkel describes the world of mathematics in Germany in the first half of the twentieth century, its origins and development, the systems influencing it, and its demise. He also paints a unique picture of the complex struggles within the world of Orthodox Jewry in Germany....
The Albanian Mathematicians by the Flowside of the Mathematicians of the World
Kllogjeri, Pellumb
2014-01-01
I have had opportunities to see several world enciclopedies but I have found none of the Albanian mathematicians. Sure, can be found some great historical figures of Albania from the ancient world to the present time, even the names of cruel persons(this is ridicilous). But, how is it possible that no name of an Albanian mathematician is there? Does someone think that all that mathematical seed sown in Albania in different times, in different ways and by different sowers is dried out? Is n...
Del Pilar Becerra, A.&ída; Bhatt, Megha; Kobel, Philippe
2012-07-01
GalileoMobile is a traveling science education project by an international team of PhD students and recent graduates (partnering with the Universe Awareness program) that brings astronomy to young people in remote regions of developing countries. Our primary project goals are: (1) to stimulate students' curiosity and interest in learning, (2) to exchange different visions of the cosmos and cultures, and (3) to inspire a feeling of unity "under the same sky" between people from different parts of the world. In 2009, GalileoMobile traveled to 30 schools in Chile, Bolivia and Peru, bringing hands-on activities and Galileoscopes; the team also produced a documentary movie to share the experiences and culture with the world. In 2012, GalileoMobile plans an expedition to India from the 2nd to the 13th of July in villages between Bangalore and Mysore. We will again bring hands-on astronomy activities and telescopes to the schools, and share our experiences with the world via internet resources. GalileoMobile is also collaborating with the Galileo Teacher Training Program to provide workshops for local teachers, to encourage continuation of astronomy education beyond our visit. In this way, we expect to spark sustainable interest in astronomy in remote areas that have little access to science outreach, and to share the culture of these areas with the world -- "under the same sky."
Peter Lax, mathematician an illustrated memoir
Hersh, Reuben
2015-01-01
Hersh's memoir of Peter Lax is a revealing glimpse into the life, times, and work of one of the giants of mathematics. The story, told through reminiscences and interviews with Lax himself, his family, and his close friends, is the story of mathematics and its relationships to science and society from the Second World War to the end of the century. -Charlie Epstein, University of Pennsylvania This book is a biography of one of the most famous and influential living mathematicians, Peter Lax. He is virtually unique as a preeminent leader in both pure and applied mathematics, fields which are o
Vector analysis for mathematicians, scientists and engineers
Simons, S
1970-01-01
Vector Analysis for Mathematicians, Scientists and Engineers, Second Edition, provides an understanding of the methods of vector algebra and calculus to the extent that the student will readily follow those works which make use of them, and further, will be able to employ them himself in his own branch of science. New concepts and methods introduced are illustrated by examples drawn from fields with which the student is familiar, and a large number of both worked and unworked exercises are provided. The book begins with an introduction to vectors, covering their representation, addition, geome
On mathematicians' different standards when evaluating elementary proofs.
Inglis, Matthew; Mejia-Ramos, Juan Pablo; Weber, Keith; Alcock, Lara
2013-04-01
In this article, we report a study in which 109 research-active mathematicians were asked to judge the validity of a purported proof in undergraduate calculus. Significant results from our study were as follows: (a) there was substantial disagreement among mathematicians regarding whether the argument was a valid proof, (b) applied mathematicians were more likely than pure mathematicians to judge the argument valid, (c) participants who judged the argument invalid were more confident in their judgments than those who judged it valid, and (d) participants who judged the argument valid usually did not change their judgment when presented with a reason raised by other mathematicians for why the proof should be judged invalid. These findings suggest that, contrary to some claims in the literature, there is not a single standard of validity among contemporary mathematicians. Copyright © 2013 Cognitive Science Society, Inc.
Galileo symmetries in polymer particle representation
International Nuclear Information System (INIS)
Chiou, D-W
2007-01-01
To illustrate the conceptual problems for the low-energy symmetries in the continuum of spacetime emerging from the discrete quantum geometry, Galileo symmetries are investigated in the polymer particle representation of a non-relativistic particle as a simple toy model. The complete Galileo transformations (translation, rotation and Galileo boost) are naturally defined in the polymer particle Hilbert space and Galileo symmetries are recovered with highly suppressed deviations in the low-energy regime from the underlying polymer particle description
Galileo and the Interpretation of the Bible.
Carroll, William E.
1999-01-01
Argues that, contrary to the common view, Galileo and the theologians of the Inquisition share the same fundamental principles of biblical interpretation. Contends that Galileo and these theologians thought that the Bible contained truths about nature, but Galileo denied what the theologians accepted as scientifically true. Contains 93 references.…
On Galilei invariance in quantum mechanics and the Bargmann superselection rule
International Nuclear Information System (INIS)
Giulini, D.
1996-01-01
We reinvestigate Bargmann close-quote s superselection rule for the overall mass of n particles in ordinary quantum mechanics with Galilei invariant interaction potential. We point out that in order for mass to define a superselection rule it should be considered as a dynamical variable. We present a minimal extension of the original dynamics in which mass it treated as dynamical variable. Here the classical symmetry group turns out to be given by an R-extension of the Galilei group. Unlike before, there is now no obstruction to implement an action of the classical symmetry group on Hilbert space. We include some comments of a general nature on formal derivations of superselection rules without dynamical context. Copyright copyright 1996 Academic Press, Inc
Galilei-invariant theory of low energy pion-nucleus scattering
International Nuclear Information System (INIS)
Mach, R.
1980-01-01
The scattering of a particle by a system of bound scatterers is investigated and reasons are given why the optical model and other models based on the standard impulse approximation violate the Galilei invariance. It is shown how this deficiency can be removed. Further, the validity of factojzation approximation is studied. In the case of Galilei-invariant models, there exists a unique combination of effective target particle momenta in the initial and final states, by means of which the optical potential can be expressed in factorized form (elementary scattering matrix by form factor of the composed target) while the error caused by the factorization procedure is of the order of projectile over target particle mass squared
Mathematician for all seasons recollections and notes
Szymaniec, Irena; Weron, Aleksander; Shenitzer, Abe
2015-01-01
This book presents, in his own words, the life of Hugo Steinhaus (1887–1972), noted Polish mathematician of Jewish background, educator, and mathematical popularizer. A student of Hilbert, a pioneer of the foundations of probability and game theory, and a contributor to the development of functional analysis, he was one of those instrumental to the extraordinary flowering of Polish mathematics before and after World War I. In particular, it was he who “discovered” the great Stefan Banach. Exhibiting his great integrity and wit, Steinhaus’s personal story of the turbulent times he survived – including two world wars and life postwar under the Soviet heel – cannot but be of consuming interest. His recounting of the fearful years spent evading Nazi terror is especially moving. The steadfast honesty and natural dignity he maintained while pursuing a life of demanding scientific and intellectual enquiry in the face of encroaching calamity and chaos show him to be truly a mathematician for all seasons. ...
Super-Galilei invariant field theories in 2+1 dimensions
International Nuclear Information System (INIS)
Bergman, O.; Thorn, C.B.
1995-01-01
The authors extend the Galilei group of space-time transformations by gradation, construct interacting field-theoretic representations of this algebra, and show that non-relativistic Super-Chern-Simons theory is a special case. They also study the generalization to matrix valued fields, which are relevant to the formulation of superstring theory as a 1/N c expansion of a field theory. The authors find that in the matrix case, the field theory is much more restricted by the supersymmetry
International Nuclear Information System (INIS)
Dildar, M.T.; Saeed, M.K.; Ali, S.; Yaqub, M.A.
2017-01-01
To determine the correlation between mean central corneal thickness taken with Galilei dual Scheimpflug Analyzer and Applanation Ultrasound Pachymetry. Study Design: Descriptive cross sectional study. Place and Duration of Study: Armed Forces Institute of Ophthalmology Rawalpindi, from Jul 2013 to Jan 2014. Material and Methods: Central corneal thickness was measured in 100 eyes of 50 patients. First three readings were taken with Galilei dual Scheimpflug analyzer, with a gap of 1 minute. Then three readings were taken with ultrasound pachymetry after applying topical 0.5% proparacaine (Alcain). The mean of the three readings was used for the analysis. Results: For right eye the mean central corneal thickness measured by the Galilei dual Scheimpflug analyzer and Ultrasound pachymetry was 544.06 mu m +- 27.36 and 546.88 +-m +- 27.71 respectively, and for left eye it was 544.72mu m +- 25.47 and 546.52+- m +- 26.15 respectively. There was a strong and positive correlation between the two instruments (r=0.969, p=0.000 for right eye and r=0.956, p=0.000 for left eye). Conclusions: The pachymetry readings with GSA showed strong and positive correlation with those of US pachymetry. So GSA may be considered as an alternative to US Pachymetry, thus avoiding operator-dependent errors, patient discomfort and other disadvantages. (author)
Galileo: exploration of Jupiter's system
International Nuclear Information System (INIS)
Johnson, T.V.; Yeates, C.M.; Colin, L.; Fanale, F.P.; Frank, L.; Hunten, D.M.
1985-06-01
The scientific objectives of the Galileo mission to the Jovian system is presented. Topics discussed include the history of the project, our current knowledge of the system, the objectives of interrelated experiments, mission design, spacecraft, and instruments. The management, scientists, and major contractors for the project are also given
The New Galileo Communication System
Deutsch, L. J.
1995-01-01
ave been developed to get as much data as possible from the Galileo spacecraft even without the high gain antenna. These methods include extensive data compression, a new packetized telemetry format, new error-correcting codes, new modulation, new ground receivers, and antenna arraying. (abstract only).
How Mathematicians Determine if an Argument Is a Valid Proof
Weber, Keith
2008-01-01
The purpose of this article is to investigate the mathematical practice of proof validation--that is, the act of determining whether an argument constitutes a valid proof. The results of a study with 8 mathematicians are reported. The mathematicians were observed as they read purported mathematical proofs and made judgments about their validity;…
Exploring High-Achieving Students' Images of Mathematicians
Aguilar, Mario Sánchez; Rosas, Alejandro; Zavaleta, Juan Gabriel Molina; Romo-Vázquez, Avenilde
2016-01-01
The aim of this study is to describe the images that a group of high-achieving Mexican students hold of mathematicians. For this investigation, we used a research method based on the Draw-A-Scientist Test (DAST) with a sample of 63 Mexican high school students. The group of students' pictorial and written descriptions of mathematicians assisted us…
Interplay between research and teaching from the perspective of mathematicians
DEFF Research Database (Denmark)
Winsløw, Carl; Madsen, Lene Møller
2008-01-01
In this paper, we examine the relation between teaching and research on mathematics in universities. We suggest that this relation can be fruitfully examined from the perspective of mathematicians' praxeologies (organisations of didactical and mathematical practice). We illustrate the approach...... with data from an interview study involving five top-level mathematicians....
Information Seeking Behaviour of Mathematicians: Scientists and Students
Sapa, Remigiusz; Krakowska, Monika; Janiak, Malgorzata
2014-01-01
Introduction: The paper presents original research designed to explore and compare selected aspects of the information seeking behaviour of mathematicians (scientists and students) on the Internet. Method: The data were gathered through a questionnaire distributed at the end of 2011 and in January 2012. Twenty-nine professional mathematicians and…
Commitment of mathematicians in medicine: a personal experience, and generalisations.
Clairambault, Jean
2011-12-01
I will present here a personal point of view on the commitment of mathematicians in medicine. Starting from my personal experience, I will suggest generalisations including favourable signs and caveats to show how mathematicians can be welcome and helpful in medicine, both in a theoretical and in a practical way.
Nonstandard analysis for the working mathematician
Wolff, Manfred
2015-01-01
Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ‘secret weapon’ by those who know the technique. This book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis, probability and stochastic analysis, as well as applications in economics and combinatorial number theory. The first chapter is designed to facilitate the beginner in learning this technique by starting with calculus and basic real analysis. The second chapter provides the reader with the most important tools of nonstandard analysis: the transfer principle, Keisler’s internal definition principle, the spill-over principle, and saturation. The remaining chapters of the book study different fields for applications; each begins...
Statistics for mathematicians a rigorous first course
Panaretos, Victor M
2016-01-01
This textbook provides a coherent introduction to the main concepts and methods of one-parameter statistical inference. Intended for students of Mathematics taking their first course in Statistics, the focus is on Statistics for Mathematicians rather than on Mathematical Statistics. The goal is not to focus on the mathematical/theoretical aspects of the subject, but rather to provide an introduction to the subject tailored to the mindset and tastes of Mathematics students, who are sometimes turned off by the informal nature of Statistics courses. This book can be used as the basis for an elementary semester-long first course on Statistics with a firm sense of direction that does not sacrifice rigor. The deeper goal of the text is to attract the attention of promising Mathematics students.
Emeritus Scientists, Mathematicians and Engineers (ESME) program
Energy Technology Data Exchange (ETDEWEB)
Sharlin, H.I.
1992-09-01
The Emeritus Scientists, Mathematicians and Engineers (ESME) program matches retired scientists and engineers with wide experience with elementary school children in order to fuel the children's natural curiosity about the world in which they live. The long-range goal is to encourage students to maintain the high level of mathematical and science capability that they exhibit at an early age by introducing them to the fun and excitement of the world of scientific investigation and engineering problem solving. Components of the ESME program are the emeriti, established teacher-emeriti teams that work to produce a unit of 6 class hours of demonstration or hands-on experiments, and the encounter by students with the world of science/engineering through the classroom sessions and a field trip to a nearby plant or laboratory.
Amongst mathematicians teaching and learning mathematics at university level
Nardi, Elena
2008-01-01
"Amongst Mathematicians" offers a unique perspective on the ways in which mathematicians perceive their students' learning, the way they teach and reflect on those teaching practices. Elena Nardi employs fictional characters to create a conversation on these important issues. While personas are created, the facts incorporated into their stories are based on large bodies of data including intense focus groups comprised of mathematicians and mathematics education.This book further develops analyses of the data and demonstrates the pedagogical potential that lies in collaborative research that engages educators, researchers, and students in undergraduate mathematics education. Nardi also addresses the need for action in undergraduate mathematics education by creating discourse for reform and demonstrating the feasibility and potential of collaboration between mathematicians and researchers. "Amongst Mathematicians" is of interest to the entire mathematics community including teacher educators, undergraduate and ...
Officine Galileo for Mars Exploration
Battistelli, E.; Tacconi, M.
1999-09-01
The interest for Mars's exploration is continuously increasing. Officine Galileo is engaged in this endeavor with several programmes. The exobiology is, of course, a stimulating field; presently Officine Galileo is leading a team with Dasa and Tecnospazio, under ESA contract, for the definition of a facility for the search of extinct life on Mars through the detection of indicators of life. The system, to be embarked on a Mars lander, is based on a drill to take rock samples underneath the oxidised soil layer, on a sample preparation and distribution system devoted to condition and bring the sample to a set of analytical instruments to carry out in-situ chemical and mineralogical investigations. The facility benefits of the presence of optical microscope, gas chromatograph, several spectrometers (Raman, Mass, Mossbauer, APX-Ray), and further instruments. In the frame of planetology, Officine Galileo is collaborating with several Principal Investigators to the definition of a set of instruments to be integrated on the Mars 2003 Lander (a NASA-ASI cooperation). A drill (by Tecnospazio), with the main task to collect Mars soil samples for the subsequent storage and return to Earth, will have the capability to perform several soil analyses, e.g. temperature and near infrared reflectivity spectra down to 50 cm depth, surface thermal and electrical conductivity, sounding of electromagnetic properties down to a few hundreds meter, radioactivity. Moreover a kit of instruments for in-situ soil samples analyses if foreseen; it is based on a dust analyser, an IR spectrometer, a thermofluorescence sensor, and a radioactivity analyser. The attention to the Red Planet is growing, in parallel with the findings of present and planned missions. In the following years the technology of Officine Galileo will carry a strong contribution to the science of Mars.
The Routledge guidebook to Galileo's dialogue
Finocchiaro, Maurice A
2013-01-01
The publication in 1632 of Galileo's Dialogue on the Two Chief World Systems, Ptolemaic and Copernican marked a crucial moment in the 'scientific revolution' and helped Galileo become the 'father of modern science'. The Dialogue contains Galileo's mature synthesis of astronomy, physics, and methodology, and a critical confirmation of Copernicus's hypothesis of the earth's motion. However, the book also led Galileo to stand trial with the Inquisition, in what became known as 'the greatest scandal in Christendom'. In The Routledge Guidebook to Galileo's Dialogue, Maurice A. Finocchiaro introduces and analyzes: the intellectual background and historical context of the Copernican controversy and Inquisition trial; the key arguments and critiques that Galileo presents on both sides of the 'dialogue'; the Dialogue's content and significance from three special points of view: science, methodology, and rhetoric; the enduring legacy of the Dialogue and the ongoing application of its approach to other areas. This...
Mathematicians fleeing from Nazi Germany individual fates and global impact
Siegmund-Schultze, Reinhard
2009-01-01
The emigration of mathematicians from Europe during the Nazi era signaled an irrevocable and important historical shift for the international mathematics world. Mathematicians Fleeing from Nazi Germany is the first thoroughly documented account of this exodus. In this greatly expanded translation of the 1998 German edition, Reinhard Siegmund-Schultze describes the flight of more than 140 mathematicians, their reasons for leaving, the political and economic issues involved, the reception of these emigrants by various countries, and the emigrants' continuing contributions to mathematics. The inf
Quantum field theory a tourist guide for mathematicians
Folland, Gerald B
2008-01-01
Quantum field theory has been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically incomplete. Folland, who is a mathematician, has spent considerable time digesting the physical theory and sorting out the mathematical issues in it. Fortunately for mathematicians, Folland is a gifted expositor. The purpose of this book is to present the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal mathematical structures, in a form that will be comprehensible to mathematicians. Rigorous definitions and arguments are presented as far as they are available, but the text proceeds on a more informal level when necessary, with due care in identifying the difficulties. The book begins with a review of classical physics and quantum mechanics, then proceeds through the construction of free quantum fields to the perturbation-theoretic development of interacting field theory and renormalization theor...
Women Mathematicians = Kadın Matematikçiler
Directory of Open Access Journals (Sweden)
Ali DÖNMEZ
2001-01-01
Full Text Available In any book on the history of mathematics, mention about women mathematicians is hardly found. One wonders if there were any and, if any, why so few? The lives of some women mathematicians from different countries, the first who was born in 370 AD and the last who died in 1935. If there were only a few women mathematicians before the 20th Century, why have there been more in the 21th century what has been done, and what is being done, to increase their number? There is no enough space in this paper to examine the details of the mathematical research being conducted by these eight women. Instead the main interest will be the difficulties involved and the struggles they underwent while fulfilling their desire to become mathematicians, the first one of them who had a tragic end.
Recreating Galileo's 1609 Discovery of Lunar Mountains
Pasachoff, Jay M.; Needham, Paul S.; Wright, Ernest T.; Gingerich, Owen
2014-11-01
The question of exactly which lunar features persuaded Galileo that there were mountains on the moon has not yet been definitively answered; Galileo was famously more interested in the concepts rather than the topographic mapping in his drawings and the eventual engravings. Since the pioneering work of Ewen Whitaker on trying to identify which specific lunar-terminator features were those that Galileo identified as mountains on the moon in his 1609 observations reported in his Sidereus Nuncius (Venice, 1610), and since the important work on the sequence of Galileo's observations by Owen Gingerich (see "The Mystery of the Missing 2" in Galilaeana IX, 2010, in which he concludes that "the Florentine bifolium sheet [with Galileo's watercolor images] is Galileo's source for the reworked lunar diagrams in Sidereus Nuncius"), there have been advances in lunar topographical measurements that should advance the discussion. In particular, one of us (E.T.W.) at the Scientific Visualization Studio of NASA's Goddard Space Flight Center has used laser-topography from NASA's Lunar Reconnaissance Orbiter to recreate what Galileo would have seen over a sequence of dates in late November and early December 1609, and provided animations both at native resolution and at the degraded resolution that Galileo would have observed with his telescope. The Japanese Kaguya spacecraft also provides modern laser-mapped topographical maps.
Internet of Things with Intel Galileo
de Sousa, Miguel
2015-01-01
This book employs an incremental, step-by-step approach to get you familiarized with everything from the basic terms, board components, and development environments to developing real projects. Each project will demonstrate how to use specific board components and tools. Both Galileo and Galileo Gen 2 are covered in this book.
Classroom Explorations: Pendulums, Mirrors, and Galileo's Drama
Cavicchi, Elizabeth
2011-01-01
What do you see in a mirror when not looking at yourself? What goes on as a pendulum swings? Undergraduates in a science class supposed that these behaviors were obvious until their explorations exposed questions with no quick answers. While exploring materials, students researched Galileo, his trial, and its aftermath. Galileo came to life both…
The Galileo Legend as Scientific Folklore.
Lessl, Thomas M.
1999-01-01
Examines the various ways in which the legend of Galileo's persecution by the Roman Catholic Church diverges from scholarly readings of the Galileo affair. Finds five distinct themes of scientific ideology in the 40 accounts examined. Assesses the part that folklore plays in building and sustaining a professional ideology for the modern scientific…
Galileo's Telescopy and Jupiter's Tablet
Usher, P. D.
2003-12-01
A previous paper (BAAS 33:4, 1363, 2001) reported on the dramatic scene in Shakespeare's Cymbeline that features the descent of the deity Jupiter. The paper suggested that the four ghosts circling the sleeping Posthumus denote the four Galilean moons of Jupiter. The god Jupiter commands the ghosts to lay a tablet upon the prone Posthumus, but says that its value should not be overestimated. When Posthumus wakens he notices the tablet, which he calls a "book." Not only has the deity's "tablet" become the earthling's "book," but it appears that the book has covers which Posthumus evidently recognizes because without even opening the book he ascribes two further properties to it: rarity, and the very property that Jupiter had earlier attributed, viz. that one must not read too much into it. The mystery deepens when the Jovian gift undergoes a second metamorphosis, to "label." With the help of the OED, the potentially disparate terms "tablet," "book," and "label," may be explained by terms appropriate either to supernatural or worldly beings. "Tablet" may recognize the Mosaic artifact, whereas "book" and "label" are probably mundane references to Galileo's Sidereus Nuncius which appeared shortly before Cymbeline. The message of the Olympian god indicates therefore that the book is unique even as its contents have limited value. The first property celebrates the fact that Galileo's book is the first of its kind, and the second advises that all results except the discovery of Jupiter's moons have been reported earlier, in Hamlet.
Simulation Facilities and Test Beds for Galileo
Schlarmann, Bernhard Kl.; Leonard, Arian
2002-01-01
Galileo is the European satellite navigation system, financed by the European Space Agency (ESA) and the European Commission (EC). The Galileo System, currently under definition phase, will offer seamless global coverage, providing state-of-the-art positioning and timing services. Galileo services will include a standard service targeted at mass market users, an augmented integrity service, providing integrity warnings when fault occur and Public Regulated Services (ensuring a continuity of service for the public users). Other services are under consideration (SAR and integrated communications). Galileo will be interoperable with GPS, and will be complemented by local elements that will enhance the services for specific local users. In the frame of the Galileo definition phase, several system design and simulation facilities and test beds have been defined and developed for the coming phases of the project, respectively they are currently under development. These are mainly the following tools: Galileo Mission Analysis Simulator to design the Space Segment, especially to support constellation design, deployment and replacement. Galileo Service Volume Simulator to analyse the global performance requirements based on a coverage analysis for different service levels and degrades modes. Galileo System Simulation Facility is a sophisticated end-to-end simulation tool to assess the navigation performances for a complete variety of users under different operating conditions and different modes. Galileo Signal Validation Facility to evaluate signal and message structures for Galileo. Galileo System Test Bed (Version 1) to assess and refine the Orbit Determination &Time Synchronisation and Integrity algorithms, through experiments relying on GPS space infrastructure. This paper presents an overview on the so called "G-Facilities" and describes the use of the different system design tools during the project life cycle in order to design the system with respect to
Continuous time random walk: Galilei invariance and relation for the nth moment
International Nuclear Information System (INIS)
Fa, Kwok Sau
2011-01-01
We consider a decoupled continuous time random walk model with a generic waiting time probability density function (PDF). For the force-free case we derive an integro-differential diffusion equation which is related to the Galilei invariance for the probability density. We also derive a general relation which connects the nth moment in the presence of any external force to the second moment without external force, i.e. it is valid for any waiting time PDF. This general relation includes the generalized second Einstein relation, which connects the first moment in the presence of any external force to the second moment without any external force. These expressions for the first two moments are verified by using several kinds of the waiting time PDF. Moreover, we present new anomalous diffusion behaviours for a waiting time PDF given by a product of power-law and exponential function.
Directory of Open Access Journals (Sweden)
Teresa Gargiulo
2014-12-01
Full Text Available The Galilean case meant for Feyerabend the opportunity to prove methodological and historically the paradoxes and limitations of a positivist notion of science. Feyerabend demonstrates the contradictions that suppose the different attempts of neo-positivism logical to establish a demarcation criterion that defines what science is. He realizes how in the case of Galileo Galilei those elements against which the logical positivism tries to delimit a negative definition of science, paradoxically constitute the heart of the scientific endeavor. Now this does not mean –as a considerable number of critics have pointed out– that Feyerabend uphold an anarchic, irrational or relativist view about science. Conversely, in a positive sense it is possible to say that the emblematic case of Galileo not only offered to Feyerabend the occasion to formulate a negative and sceptical argumentation with regard to that notion of science but, at the same time, it represented for him a chance to rethink the science from a broader perspective or rationality.
“Initial Services”, la nuova fase del programma Galileo
Directory of Open Access Journals (Sweden)
Marco Lisi
2017-03-01
infrastructures and secure services for public authorities. The Declaration of Galileo Initial Services means that the Galileo satellites and ground infrastructure are now operationally ready. These signals will be highly accurate but not available all the time. In the coming years, new satellites will be launched to enlarge the Galileo constellation, which will gradually improve Galileo availability worldwide. The constellation is expected to be completed by 2020 when Galileo will reach full operational capacity.
Europa: Initial Galileo Geological Observations
Greeley, R.; Sullivan, R.; Klemaszewski, J.; Homan, K.; Head, J. W.; Pappalardo, R.T.; Veverka, J.; Clark, B.E.; Johnson, T.V.; Klaasen, K.P.; Belton, M.; Moore, J.; Asphaug, E.; Carr, M.H.; Neukum, G.; Denk, T.; Chapman, C.R.; Pilcher, C.B.; Geissler, P.E.; Greenberg, R.; Tufts, R.
1998-01-01
Images of Europa from the Galileo spacecraft show a surface with a complex history involving tectonic deformation, impact cratering, and possible emplacement of ice-rich materials and perhaps liquids on the surface. Differences in impact crater distributions suggest that some areas have been resurfaced more recently than others; Europa could experience current cryovolcanic and tectonic activity. Global-scale patterns of tectonic features suggest deformation resulting from non-synchronous rotation of Europa around Jupiter. Some regions of the lithosphere have been fractured, with icy plates separated and rotated into new positions. The dimensions of these plates suggest that the depth to liquid or mobile ice was only a few kilometers at the time of disruption. Some surfaces have also been upwarped, possibly by diapirs, cryomagmatic intrusions, or convective upwelling. In some places, this deformation has led to the development of chaotic terrain in which surface material has collapsed and/or been eroded. ?? 1998 Academic Press.
Return to Galileo? The Inquisition of the International Narcotic Control Board.
Small, Dan; Drucker, Ernest
2008-05-07
Nearly 400 years after Galileo Galilei of Florence was arraigned and convicted of suspected heresy by the ten member Congregation of the Holy Office (Inquisition), the International Narcotic Control Board (INCB) is similarly inserting itself into matters pertaining to innovations in healthcare and the public health response to addiction throughout the world. Like that earlier Inquisition of 1633 that convicted Galileo of heresy for holding that the sun is the centre of the universe with the earth revolving around it (in contradiction to church doctrine of the time) the INCB and its thirteen-member panel, now rails against any evidence out of sync with the established doctrine of the war on drugs--particularly those innovations in public health called harm reduction. The latest healthcare and harm reduction practices to attract the ire of the INCB Inquisition are elements of Canada's most effective and innovative measures to minimize the harms of drugs in Vancouver--supervised injection facilities and, recently, the potential establishment of supervised inhalation rooms--along with the long established practice of providing safer mouthpieces for pulmonary inhalation in British Columbia. This is particularly significant as it comes in the midst of a crucial battle between municipal and provincial authorities in BC with the federal government in Ottawa, which seems determined to undermine all the most effective HR programs that are the result of years of steady local and governmental support in Vancouver and now threatens to derail all these programs and spread doubt about their usefulness despite the overwhelmingly positive findings of serous research.
Return to Galileo? The Inquisition of the International Narcotic Control Board
Directory of Open Access Journals (Sweden)
Small Dan
2008-05-01
Full Text Available Abstract Nearly 400 years after Galileo Galilei of Florence was arraigned and convicted of suspected heresy by the ten member Congregation of the Holy Office (Inquisition, the International Narcotic Control Board (INCB is similarly inserting itself into matters pertaining to innovations in healthcare and the public health response to addiction throughout the world. Like that earlier Inquisition of 1633 that convicted Galileo of heresy for holding that the sun is the centre of the universe with the earth revolving around it (in contradiction to church doctrine of the time the INCB and its thirteen-member panel, now rails against any evidence out of sync with the established doctrine of the war on drugs – particularly those innovations in public health called harm reduction. The latest healthcare and harm reduction practices to attract the ire of the INCB Inquisition are elements of Canada's most effective and innovative measures to minimize the harms of drugs in Vancouver – supervised injection facilities and, recently, the potential establishment of supervised inhalation rooms – along with the long established practice of providing safer mouthpieces for pulmonary inhalation in British Columbia. This is particularly significant as it comes in the midst of a crucial battle between municipal and provincial authorities in BC with the federal government in Ottawa, which seems determined to undermine all the most effective HR programs that are the result of years of steady local and governmental support in Vancouver and now threatens to derail all these programs and spread doubt about their usefulness despite the overwhelmingly positive findings of serous research.
Modern Exploration of Galileo's New Worlds
Johnson, Torrence V.
2010-01-01
Four hundred years ago Galileo turned his telescope to the heavens and changed the way we view the cosmos forever. Among his discoveries in January of 1610 were four new 'stars', following Jupiter in the sky but changing their positions with respect to the giant planet every night. Galileo showed that these 'Medicean stars', as he named them, were moons orbiting Jupiter in the same manner that the Earth and planets revolve about the Sun in the Copernican theory of the solar system. Over the next three centuries these moons, now collectively named the Galilean satellites after their discoverer, remained tiny dots of light in astronomers' telescopes. In the latter portion of the twentieth century Galileo's new worlds became important targets of exploration by robotic spacecraft. This paper reviews the history of this exploration through the discoveries made by the Galileo mission from 1995 to 2003, setting the stage for on-going exploration in the new century.
Galileo spacecraft power management and distribution system
International Nuclear Information System (INIS)
Detwiler, R.C.; Smith, R.L.
1990-01-01
It has been twelve years since two Voyager spacecraft began the direct route to the outer planets. In October 1989 a single Galileo spacecraft started the return to Jupiter. Conceived as a simple Voyager look-alike, the Galileo power management and distribution (PMAD) system has undergone many iterations in configuration. Major changes to the PMAD resulted from dual spun slip ring limitations, variations in launch vehicle thrust capabilities, and launch delays. Lack of an adequate launch vehicle for an interplanetary mission of Galileo's size has resulted in an extremely long flight duration. A Venus-Earth-Earth Gravity Assist (VEEGA) tour, vital to attain the required energy, results in a 6 year trip to Jupiter and its moons. This paper provides a description of the Galileo PMAD and documents the design drivers that established the final as-built hardware
GALILEO CRUISE POSITION DATA (RTN COORDINATES)
National Aeronautics and Space Administration — This dataset contains the Galileo spacecraft trajectory during the interplanetary cruise. The data have been derived from SPICE kernels at a 1 minute sample rate....
Galileo and the Interpretation of the Bible
Carroll, William E.
Galileo's understanding of the relationship between science and the Bible has frequently been celebrated as anticipating a modern distinction between the essentially religious nature of scripture and the claims of the natural sciences. Galileo's reference to the remarks of Cardinal Baronius, that the Bible teaches one how to go to heaven and not how the heavens go, has been seem as emblematic of his commitment to the distinction between the Book of Nature and the Book of Scripture. This essay argues that, contrary to the common view, Galileo shares with the theologians of the Inquisition the same fundamental principles of biblical interpretation: principles which include traditional scriptural hermeneutics enunciated by Augustine and Aquinas, as well as those characteristic of Counter-Reformation Catholicism. Although Galileo argues that one should not begin with biblical passages in order to discover truths about nature, he does think that the Bible contains scientific truths and that it is the function of wise interpreters to discover these truths. The dispute with the theologians of the Inquisition occurred because they thought that it was obviously true scientifically that the earth did not move and, on the basis of this view, they read the Bible as revealing the same thing. They reached this conclusion because, like Galileo, they thought that the Bible contained truths about nature. Of course, what these theologians accepted as scientifically true, Galileo denied.
Jean Dieudonné (1906-1992) mathematician
Cartier, P
2005-01-01
Jean Dieudonn\\'e has been one of the most influential French mathematicians during the 20$^{\\rm th}$ century, especially through his association -- even identification -- with the Bourbaki group. An excellent biography has been written by his friend P. Dugac, a historian of science [4]. We shall retrace here his long and distinguished career.
Why and How Mathematicians Read Proofs: An Exploratory Study
Weber, Keith; Mejia-Ramos, Juan Pablo
2011-01-01
In this paper, we report a study in which nine research mathematicians were interviewed with regard to the goals guiding their reading of published proofs and the type of reasoning they use to reach these goals. Using the data from this study as well as data from a separate study (Weber, "Journal for Research in Mathematics Education" 39:431-459,…
Examining the Image of Prospective Teachers towards Mathematicians
Yazlik, Derya Ozlem; Erdogan, Ahmet
2018-01-01
The aim of this study is to identify how prospective teachers see mathematicians by the pictures they visualized. In accordance with this purpose phenomenology pattern which is one of the qualitative patterns was used. The study was carried out with 160 volunteered prospective teachers. The data collection tool to be used in this study consists of…
Three Styles Characterising Mathematicians' Pedagogical Perspectives on Proof
Hemmi, Kirsti
2010-01-01
The article describes mathematicians' pedagogical perspectives on proof in the teaching of first year university students at a mathematics department in Sweden. A conceptual frame that was used in the data analysis combines theories about proof from earlier mathematics education research with a social practice approach of Lave and Wenger. A…
Mathematicians' and Math Educators' Views on "Doing Mathematics"
Brandt, Jim; Lunt, Jana; Meilstrup, Gretchen Rimmasch
2016-01-01
Educators often argue that mathematics should be taught so that the students in the course are actually "doing mathematics." Is there a consensus among mathematicians and mathematics educators as to the meaning of "doing mathematics?" In an effort to answer this question, we administered a survey to hundreds of university-level…
Face to Face In Conversation with a Global Mathematician
Indian Academy of Sciences (India)
PJC: I was always interested in mathematics, from early childhood. I grew up on a ... whose growth rates tell us something about the infinite structure. AA: Do you still .... Who all are there in your family and what are they doing? PJC: I have ... mathematicians and funding bodies of the importance of combinatorics! AA: Do you ...
Copernicus, Epicurus, Galileo, and Gassendi.
LoLordo, Antonia
2015-06-01
In his Letters on the motion impressed by a moving mover, the theory of the motion of composite bodies put forth by Gassendi is strikingly similar to Galileo's. In other of his writings, however, his description of the motion of individual atoms is understood very differently. In those places, he holds (1) that individual atoms are always in motion, even when the body that contains them is at rest, (2) that atomic motion is discontinuous although the motion of composite bodies is at least apparently continuous, and (3) that atomic motion is grounded in an intrinsic vis motrix, motive power. In contrast, composite bodies simply persist in their state of motion or rest in the absence of outside interference. Unfortunately, Gassendi neglects to explain how his accounts of atomic and composite motion fit together, and it is difficult to see how they could possibly be integrated. My goal is to explain, given this difficulty, why he accepted both the Galilean theory of the motion of composite bodies and the Epicurean theory of atomic motion. Copyright © 2015 Elsevier Ltd. All rights reserved.
Star Messenger: Galileo at the Millennium
White, R. E.
1999-05-01
Smith College has recently established the Louise B. and Edmund J. Kahn Liberal Arts Institute to foster interdisciplinary scholarship among the faculty. In the 1999-2000 academic year, the Kahn Institute is sponsoring a project entitled "Star Messenger: Galileo at the Millennium." The project will explore the impact of the astronomical discoveries of Galileo and his contemporaries on the Renaissance world-view and also use Galileo's experience as a lens for examining scientific and cultural developments at the symbolic juncture represented by the year 2000. Seven faculty fellows and 10-12 student fellows will participate in a year-long colloquium pursuing these themes, aided by the participation of some five Visiting Fellows. The inaugural public event will be a symposium on the historical Galileo, with presentation by three noted scholars, each of whom will return to campus for a second meeting with the Kahn colloquium. Additional events will include an exhibit of prints, artifacts, and rare books related to Galileo and his time, an early music concert featuring music composed by Galileo's father, and a series of other events sponsored by diverse departments and programs, all related to the broad themes of the Galileo project. The culminating events will be the premiere of a new music theater work, which will encapsulate the insights of the colloquium about human reactions to novel insights about the world, and a symposium presenting the research results of faculty and student fellows. The symposium will feature a capstone lecture by an visionary scholar projecting the implication of historical and contemporary trends into the future.
Galileo's Medicean Moons (IAU S269)
Barbieri, Cesare; Chakrabarti, Supriya; Coradini, Marcello; Lazzarin, Monica
2010-11-01
Preface; 1. Galileo's telescopic observations: the marvel and meaning of discovery George V. Coyne, S. J.; 2. Popular perceptions of Galileo Dava Sobel; 3. The slow growth of humility Tobias Owen and Scott Bolton; 4. A new physics to support the Copernican system. Gleanings from Galileo's works Giulio Peruzzi; 5. The telescope in the making, the Galileo first telescopic observations Alberto Righini; 6. The appearance of the Medicean Moons in 17th century charts and books. How long did it take? Michael Mendillo; 7. Navigation, world mapping and astrometry with Galileo's moons Kaare Aksnes; 8. Modern exploration of Galileo's new worlds Torrence V. Johnson; 9. Medicean Moons sailing through plasma seas: challenges in establishing magnetic properties Margaret G. Kivelson, Xianzhe Jia and Krishan K. Khurana; 10. Aurora on Jupiter: a magnetic connection with the Sun and the Medicean Moons Supriya Chakrabarti and Marina Galand; 11. Io's escaping atmosphere: continuing the legacy of surprise Nicholas M. Schneider; 12. The Jovian Rings Wing-Huen Ip; 13. The Juno mission Scott J. Bolton and the Juno Science Team; 14. Seeking Europa's ocean Robert T. Pappalardo; 15. Europa lander mission: a challenge to find traces of alien life Lev Zelenyi, Oleg Korablev, Elena Vorobyova, Maxim Martynov, Efraim L. Akim and Alexander Zakahrov; 16. Atmospheric moons Galileo would have loved Sushil K. Atreya; 17. The study of Mercury Louise M. Prockter and Peter D. Bedini; 18. Jupiter and the other giants: a comparative study Thérèse Encrenaz; 19. Spectroscopic and spectrometric differentiation between abiotic and biogenic material on icy worlds Kevin P. Hand, Chris McKay and Carl Pilcher; 20. Other worlds, other civilizations? Guy Consolmagno, S. J.; 21. Concluding remarks Roger M. Bonnet; Posters; Author index; Object index.
On dynamical realizations of l-conformal Galilei and Newton–Hooke algebras
Directory of Open Access Journals (Sweden)
Anton Galajinsky
2015-07-01
Full Text Available In two recent papers (Aizawa et al., 2013 [15] and (Aizawa et al., 2015 [16], representation theory of the centrally extended l-conformal Galilei algebra with half-integer l has been applied so as to construct second order differential equations exhibiting the corresponding group as kinematical symmetry. It was suggested to treat them as the Schrödinger equations which involve Hamiltonians describing dynamical systems without higher derivatives. The Hamiltonians possess two unusual features, however. First, they involve the standard kinetic term only for one degree of freedom, while the remaining variables provide contributions linear in momenta. This is typical for Ostrogradsky's canonical approach to the description of higher derivative systems. Second, the Hamiltonian in the second paper is not Hermitian in the conventional sense. In this work, we study the classical limit of the quantum Hamiltonians and demonstrate that the first of them is equivalent to the Hamiltonian describing free higher derivative nonrelativistic particles, while the second can be linked to the Pais–Uhlenbeck oscillator whose frequencies form the arithmetic sequence ωk=(2k−1, k=1,…,n. We also confront the higher derivative models with a genuine second order system constructed in our recent work (Galajinsky and Masterov, 2013 [5] which is discussed in detail for l=32.
On the question of temperature transformations under Lorentz and Galilei boosts
International Nuclear Information System (INIS)
Sewell, Geoffrey L
2008-01-01
We provide a quantum statistical thermodynamical solution of the long standing question of temperature transformations of uniformly moving bodies. Our treatment of this question is based on the well-established quantum statistical result that the thermal equilibrium conditions demanded by both the zeroth and second laws of thermodynamics are precisely those of Kubo, Martin and Schwinger (KMS). We prove that, in both the special relativistic and non-relativistic settings, a state of a body cannot satisfy these conditions for different inertial frames with non-zero relative velocity. Hence a body that serves as a thermal reservoir, in the sense of the zeroth law, in an inertial rest frame cannot do so in a laboratory frame relative to which it moves with non-zero uniform velocity. Consequently, there is no law of temperature transformation under either Lorentz or Galilei boosts, and so the concept of temperature stemming from the zeroth law is restricted to states of bodies in their rest frames. (fast track communication)
On dynamical realizations of l-conformal Galilei and Newton-Hooke algebras
Galajinsky, Anton; Masterov, Ivan
2015-07-01
In two recent papers (Aizawa et al., 2013 [15]) and (Aizawa et al., 2015 [16]), representation theory of the centrally extended l-conformal Galilei algebra with half-integer l has been applied so as to construct second order differential equations exhibiting the corresponding group as kinematical symmetry. It was suggested to treat them as the Schrödinger equations which involve Hamiltonians describing dynamical systems without higher derivatives. The Hamiltonians possess two unusual features, however. First, they involve the standard kinetic term only for one degree of freedom, while the remaining variables provide contributions linear in momenta. This is typical for Ostrogradsky's canonical approach to the description of higher derivative systems. Second, the Hamiltonian in the second paper is not Hermitian in the conventional sense. In this work, we study the classical limit of the quantum Hamiltonians and demonstrate that the first of them is equivalent to the Hamiltonian describing free higher derivative nonrelativistic particles, while the second can be linked to the Pais-Uhlenbeck oscillator whose frequencies form the arithmetic sequence ωk = (2 k - 1), k = 1, …, n. We also confront the higher derivative models with a genuine second order system constructed in our recent work (Galajinsky and Masterov, 2013 [5]) which is discussed in detail for l =3/2.
Galileo's mistake a new look at the epic confrontation between galileo and the church
Rowland, Wade
2011-01-01
The modern understanding of the notorious 1633 trial of Galileo is that of Science and Reason persecuted by Ignorance and Superstition-of Galileo as a lonely, courageous freethinker oppressed by a reactionary and anti-intellectual institution fearful of losing its power and influence. But is this an accurate picture? In his provocative reexamination of one of the turning points in the history of science and thought, Wade Rowland contends that the dispute concerned an infinitely more profound question: What is truth and how can we know it? Rowland demonstrates that Galileo's mistak
SEU immune ICs for project Galileo
International Nuclear Information System (INIS)
Giddings, A.E.; Hewlett, F.W.; Treece, R.K.; Nichols, D.K.; Smith, L.S.; Zoutendyk, J.A.
1985-01-01
Tests showed that bipolar chips in the attitude control computer of the Galileo spacecraft would likely cause catastrophic mission failure due to single particle upset. This paper describes the design and testing of CMOS replacements which are speed compatible with the bipolar parts and are immune to upset by 165-MeV krypton ions
Status of Galileo interim radiation electron model
Garrett, H. B.; Jun, I.; Ratliff, J. M.; Evans, R. W.; Clough, G. A.; McEntire, R. W.
2003-01-01
Measurements of the high energy, omni-directional electron environment by the Galileo spacecraft Energetic Particle Detector (EDP) were used to develop a new model of Jupiter's trapped electron radiation in the jovian equatorial plane for the range 8 to 16 Jupiter radii.
Galileo, Gauss, and the Green Monster
Kalman, Dan; Teague, Daniel J.
2013-01-01
Galileo dropped cannonballs from the leaning tower of Pisa to demonstrate something about falling bodies. Gauss was a giant of mathematics and physics who made unparalleled contributions to both fields. More contemporary (and not a person), the Green Monster is the left-field wall at the home of the Boston Red Sox, Fenway Park. Measuring 37 feet…
Matematikken bag satellitnavigation. GPS - GLONASS - GALILEO
DEFF Research Database (Denmark)
Hansen, Johan P.
2012-01-01
affyringspositionen. Det kostede 12 milliarder US dollars og er nu tilgængeligt for alle. USSR og Kina har tilsvarende militære systemer GLONASS og COMPASS. GALILEO er et nyt europæisk system under udvikling af EU og European Space Agency (20 mia. Euro) med et kommercielt sigte, der forventes at tages i drift i...
Galileo and the Problems of Motion
Hooper, Wallace Edd
Galileo's science of motion changed natural philosophy. His results initiated a broad human awakening to the intricate new world of physical order found in the midst of familiar operations of nature. His thinking was always based squarely on the academic traditions of the spiritual old world. He advanced physics by new standards of judgment drawn from mechanics and geometry, and disciplined observation of the world. My study first determines the order of composition of the earliest essays on motion and physics, ca. 1588 -1592, from internal evidence, and bibliographic evidence. There are clear signs of a Platonist critique of Aristotle, supported by Archimedes, in the Ten Section Version of On Motion, written ca. 1588, and probably the earliest of his treatises on motion or physics. He expanded upon his opening Platonic -Archimedean position by investigating the ideas of scholastic critics of Aristotle, including the Doctores Parisienses, found in his readings of the Jesuit Professors at the Collegio Romano. Their influences surfaced clearly in Galileo's Memoranda on Motion and the Dialogue on Motion, and in On Motion, which followed, ca. 1590-1592. At the end of his sojourn in Pisa, Galileo opened the road to the new physics by solving an important problem in the mechanics of Pappus, concerning motion along inclined planes. My study investigates why Galileo gave up attempts to establish a ratio between speed and weight, and why he began to seek the ratios of time and distance and speed, by 1602. It also reconstructs Galileo's development of the 1604 principle, seeking to outline its invention, elaboration, and abandonment. Then, I try to show that we have a record of Galileo's moment of recognition of the direct relation between the time of fall and the accumulated speed of motion--that great affinity between time and motion and the key to the new science of motion established before 1610. Evidence also ties the discovery of the time affinity directly to Galileo
How mathematicians think using ambiguity, contradiction, and paradox to create mathemathics
Byers, William
2007-01-01
To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results
Selenide isotope generator for the Galileo mission
International Nuclear Information System (INIS)
Goebel, C.J.; Hammel, T.E.
1978-01-01
A significantly improved thermoelectric generator has been developed to provide electric power for NASA's Galileo Mission in 1982. Nominal power requirements for Galileo will be about 450 watts at BOL (Beginning of Life), and this will be furnished by two Selenide Isotope Generators (SIG) each powered by a Multi Hundred Watt (MHW) radioisotopic heat source. A Ground Demonstration System (GDS) of a nominal 100 w(e) features a 3M - produced selenide ring module around a shortened MHW-dimensioned electrical heat source, newly developed axially-grooved heat pipes on a disc-shaped radiator, and other innovations which will allow a full-sized generator's weight to be held at about 90 lbs
Flight performance of Galileo and Ulysses RTGs
International Nuclear Information System (INIS)
Hemler, R.J.; Kelly, C.E.
1993-01-01
Flight performance data of the GPHS-RTGs (General Purpose Heat Source---Radioisotope Thermoelectric Generators) on the Galileo and Ulysses spacecraft are reported. Comparison of the flight data with analytical predictions is preformed. Differences between actual flight telemetry data and analytical predictions are addressed including the degree of uncertainty associated with the telemetry data. End of mission power level predictions are included for both missions with an overall assessment of RTG mission performances
Galileo disposal strategy: stability, chaos and predictability
Rosengren, Aaron J.; Daquin, Jérôme; Tsiganis, Kleomenis; Alessi, Elisa Maria; Deleflie, Florent; Rossi, Alessandro; Valsecchi, Giovanni B.
2017-02-01
Recent studies have shown that the medium-Earth orbit (MEO) region of the global navigation satellite systems is permeated by a devious network of lunisolar secular resonances, which can interact to produce chaotic and diffusive motions. The precarious state of the four navigation constellations, perched on the threshold of instability, makes it understandable why all past efforts to define stable graveyard orbits, especially in the case of Galileo, were bound to fail; the region is far too complex to allow for an adoption of the simple geosynchronous disposal strategy. We retrace one such recent attempt, funded by ESA's General Studies Programme in the frame of the GreenOPS initiative, that uses a systematic parametric approach and the straightforward maximum-eccentricity method to identify long-term-stable regions, suitable for graveyards, as well as large-scale excursions in eccentricity, which can be used for post-mission deorbiting of constellation satellites. We then apply our new results on the stunningly rich dynamical structure of the MEO region towards the analysis of these disposal strategies for Galileo, and discuss the practical implications of resonances and chaos in this regime. We outline how the identification of the hyperbolic and elliptic fixed points of the resonances near Galileo can lead to explicit criteria for defining optimal disposal strategies.
Calibration of Galileo signals for time metrology.
Defraigne, Pascale; Aerts, Wim; Cerretto, Giancarlo; Cantoni, Elena; Sleewaegen, Jean-Marie
2014-12-01
Using global navigation satellite system (GNSS) signals for accurate timing and time transfer requires the knowledge of all electric delays of the signals inside the receiving system. GNSS stations dedicated to timing or time transfer are classically calibrated only for Global Positioning System (GPS) signals. This paper proposes a procedure to determine the hardware delays of a GNSS receiving station for Galileo signals, once the delays of the GPS signals are known. This approach makes use of the broadcast satellite inter-signal biases, and is based on the ionospheric delay measured from dual-frequency combinations of GPS and Galileo signals. The uncertainty on the so-determined hardware delays is estimated to 3.7 ns for each isolated code in the L5 frequency band, and 4.2 ns for the ionosphere-free combination of E1 with a code of the L5 frequency band. For the calibration of a time transfer link between two stations, another approach can be used, based on the difference between the common-view time transfer results obtained with calibrated GPS data and with uncalibrated Galileo data. It is shown that the results obtained with this approach or with the ionospheric method are equivalent.
GalileoMobile: Astronomical activities in schools
Dasi Espuig, Maria; Vasquez, Mayte; Kobel, Philippe
GalileoMobile is an itinerant science education initiative run on a voluntary basis by an international team of astronomers, educators, and science communicators. Our team's main goal is to make astronomy accessible to schools and communities around the globe that have little or no access to outreach actions. We do this by performing teacher workshops, activities with students, and donating educational material. Since the creation of GalileoMobile in 2008, we have travelled to Chile, Bolivia, Peru, India, and Uganda, and worked with 56 schools in total. Our activities are centred on the GalileoMobile Handbook of Activities that comprises around 20 astronomical activities which we adapted from many different sources, and translated into 4 languages. The experience we gained in Chile, Bolivia, Peru, India, and Uganda taught us that (1) bringing experts from other countries was very stimulating for children as they are naturally curious about other cultures and encourages a collaboration beyond borders; (2) high-school students who were already interested in science were always very eager to interact with real astronomers doing research to ask for career advice; (3) inquiry-based methods are important to make the learning process more effective and we have therefore, re-adapted the activities in our Handbook according to these; (4) local teachers and university students involved in our activities have the potential to carry out follow-up activities, and examples are those from Uganda and India.
GPS and Galileo: Friendly Foes? (Walker Paper, Number 12)
2008-05-01
their data, others employ different techniques. US defense contractor Lockheed Martin developed an anti-jam GPS receiver in 2000 for its joint air...26. Jolis , “Problems Run Rampant for Galileo Project.” 27. Ibid. 28. “Galileo, Involving Europe,” 23. 29. Ibid., 16. 30. Ibid., 17. Assuming that by...Told to Put House in Order.” 38. EC, “Galileo, Involving Europe,” 5. 39. “Galileo Adrift in European Outer Space.” 40. Jolis , “Problems Run Rampant
Khoshaim, Heba Bakr
2012-01-01
Academic mathematicians' opinions are divided regarding software use in undergraduate mathematics instruction. This study explored these opinions through interviews and a subsequent survey of mathematicians at PhD-granting institutions in the United States regarding their dispositions and the underlying attitudes. Most prior related work had…
On Mathematicians' Proof Skimming: A Reply to Inglis and Alcock
Weber, Keith; Mejia-Ramos, Juan Pablo
2013-01-01
n a recent article, Inglis and Alcock (2012) contended that their data challenge the claim that when mathematicians validate proofs, they initially skim a proof to grasp its main idea before reading individual parts of the proof more carefully. This result is based on the fact that when mathematicians read proofs in their study, on average their…
Aydin, K; Ucar, A; Oguz, K K; Okur, O O; Agayev, A; Unal, Z; Yilmaz, S; Ozturk, C
2007-01-01
The training to acquire or practicing to perform a skill, which may lead to structural changes in the brain, is called experience-dependent structural plasticity. The main purpose of this cross-sectional study was to investigate the presence of experience-dependent structural plasticity in mathematicians' brains, which may develop after long-term practice of mathematic thinking. Twenty-six volunteer mathematicians, who have been working as academicians, were enrolled in the study. We applied an optimized method of voxel-based morphometry in the mathematicians and the age- and sex-matched control subjects. We assessed the gray and white matter density differences in mathematicians and the control subjects. Moreover, the correlation between the cortical density and the time spent as an academician was investigated. We found that cortical gray matter density in the left inferior frontal and bilateral inferior parietal lobules of the mathematicians were significantly increased compared with the control subjects. Furthermore, increase in gray matter density in the right inferior parietal lobule of the mathematicians was strongly correlated with the time spent as an academician (r = 0.84; P mathematicians' brains revealed increased gray matter density in the cortical regions related to mathematic thinking. The correlation between cortical density increase and the time spent as an academician suggests experience-dependent structural plasticity in mathematicians' brains.
Borovik, Alexandre
2011-01-01
Although mathematicians frequently use specialist software in direct teaching of mathematics, as a means of delivery e-learning technologies have so far been less widely used. We (mathematicians) insist that teaching methods should be subject-specific and content-driven, not delivery-driven. We oppose generic approaches to teaching, including…
The life-cycle research productivity of mathematicians and scientists.
Diamond, A M
1986-07-01
Declining research productivity with age is implied by economic models of life-cycle human capital investment but is denied by some recent empirical studies. The purpose of the present study is to provide new evidence on whether a scientist's output generally declines with advancing age. A longitudinal data set has been compiled for scientists and mathematicians at six major departments, including data on age, salaries, annual citations (stock of human capital), citations to current output (flow of human capital), and quantity of current output measured both in number of articles and in number of pages. Analysis of the data indicates that salaries peak from the early to mid-60s, whereas annual citations appear to peak from age 39 to 89 for different departments with a mean age of 59 for the 6 departments. The quantity and quality of current research output appear to decline continuously with age.
Gillham, James; Woelfel, Joseph
1977-01-01
Describes the Galileo system of measurement operations including reliability and validity data. Illustrations of some of the relations between Galileo measures and traditional procedures are provided. (MH)
Galileo observations of volcanic plumes on Io
Geissler, P.E.; McMillan, M.T.
2008-01-01
Io's volcanic plumes erupt in a dazzling variety of sizes, shapes, colors and opacities. In general, the plumes fall into two classes, representing distinct source gas temperatures. Most of the Galileo imaging observations were of the smaller, more numerous Prometheus-type plumes that are produced when hot flows of silicate lava impinge on volatile surface ices of SO2. Few detections were made of the giant, Pele-type plumes that vent high temperature, sulfur-rich gases from the interior of Io; this was partly because of the insensitivity of Galileo's camera to ultraviolet wavelengths. Both gas and dust spout from plumes of each class. Favorably located gas plumes were detected during eclipse, when Io was in Jupiter's shadow. Dense dust columns were imaged in daylight above several Prometheus-type eruptions, reaching heights typically less than 100 km. Comparisons between eclipse observations, sunlit images, and the record of surface changes show that these optically thick dust columns are much smaller in stature than the corresponding gas plumes but are adequate to produce the observed surface deposits. Mie scattering calculations suggest that these conspicuous dust plumes are made up of coarse grained “ash” particles with radii on the order of 100 nm, and total masses on the order of 106 kg per plume. Long exposure images of Thor in sunlight show a faint outer envelope apparently populated by particles small enough to be carried along with the gas flow, perhaps formed by condensation of sulfurous “snowflakes” as suggested by the plasma instrumentation aboard Galileo as it flew through Thor's plume [Frank, L.A., Paterson, W.R., 2002. J. Geophys. Res. (Space Phys.) 107, doi:10.1029/2002JA009240. 31-1]. If so, the total mass of these fine, nearly invisible particles may be comparable to the mass of the gas, and could account for much of Io's rapid resurfacing.
Impact of Galileo on Global Ionosphere Map Estimation
Undetermined, U.
2006-01-01
The upcoming GNSS Galileo, with its new satellite geometry and frequency plan, will not only bring many benefits for navigation and positioning but also help to improve ionosphere delay estimation. This paper investigates ionosphere estimation with Galileo and compares it with the results from
PDOP values for simulated GPS/Galileo positioning
DEFF Research Database (Denmark)
Cederholm, Jens Peter
2005-01-01
The paper illustrates satellite coverage and PDOP values for a simulated combined GPS/Galileo system. The designed GPS satellite constellation and the planned Galileo satellite constellation are presented. The combined system is simulated and the number of visible satellites and PDOP values...
Foundations of an Idea: Galileo and Freedom of Expression.
James, Beverly
This paper examines the origins of the principle of free expression as worked out by Galileo. It is intended to supplement standard histories of the development of free expression and to recover its history as part of the political project of postmodernism. The paper resurrects Galileo's encounters with entrenched beliefs in order to position free…
A Galilean Approach to the Galileo Affair, 1609-2009
Finocchiaro, Maurice A.
2011-01-01
Galileo's telescopic discoveries of 1609-1612 provided a crucial, although not conclusive, confirmation of the Copernican hypothesis of the earth's motion. In Galileo's approach, the Copernican Revolution required that the geokinetic hypothesis be supported not only with new theoretical arguments but also with new observational evidence; that it…
Matthews, Michael R.
2004-01-01
Galileo's discovery of the properties of pendulum motion depended on his adoption of the novel methodology of idealisation. Galileo's laws of pendulum motion could not be accepted until the empiricist methodological constraints placed on science by Aristotle, and by common sense, were overturned. As long as scientific claims were judged by how the…
Galileo's kinematical paradox and the role of resistive forces
International Nuclear Information System (INIS)
Aguiar, C E; Soares, V; Tort, A C
2014-01-01
We discuss Galileo's kinematical ‘paradox’ taking into account the effects of sliding friction and of resistive forces proportional to velocity. We show that sliding friction eliminates the paradox but still allows for very simple synchronous curves. Perhaps surprisingly, Galileo's paradox is preserved when the resistive force is proportional to velocity. (paper)
Galileo's Treatment for the Centre of Gravity of Solids
Worner, C. H.; Iommi-Amunategui, G.
2007-01-01
The appendix on the centres of gravity that appears at the end of Galileo's book, "Two New Sciences", is analysed. It is shown that the method used by Galileo in this work has an interesting reasoning and also shows preliminary ideas about scaling and advances some ideas about series convergence. In addition, we note that the geometrical language…
International Nuclear Information System (INIS)
Anon.
1983-01-01
On 3 May an audience of some of the world's leading physicists gathered in a small theatre on the Italian Riviera greeted Herwig Schopper's announcement of the observation at CERN of a first Z 0 candidate with spontaneous applause. The occasion was an international nuclear physics symposium, one of six meetings under the general title of 'Science for Peace' organized with remarkable flair by Nino Zichichi and a scientific committee of Nobel Laureates and heads of research establishments, as part of linked Alfred Nobel and Galileo commemorations at San Remo and in Rome
Galileo infrared imaging spectroscopy measurements at venus
Carlson, R.W.; Baines, K.H.; Encrenaz, Th.; Taylor, F.W.; Drossart, P.; Kamp, L.W.; Pollack, James B.; Lellouch, E.; Collard, A.D.; Calcutt, S.B.; Grinspoon, D.; Weissman, P.R.; Smythe, W.D.; Ocampo, A.C.; Danielson, G.E.; Fanale, F.P.; Johnson, T.V.; Kieffer, H.H.; Matson, D.L.; McCord, T.B.; Soderblom, L.A.
1991-01-01
During the 1990 Galileo Venus flyby, the Near Infrared Mapping Spectrometer investigated the night-side atmosphere of Venus in the spectral range 0.7 to 5.2 micrometers. Multispectral images at high spatial resolution indicate substantial cloud opacity variations in the lower cloud levels, centered at 50 kilometers altitude. Zonal and meridional winds were derived for this level and are consistent with motion of the upper branch of a Hadley cell. Northern and southern hemisphere clouds appear to be markedly different. Spectral profiles were used to derive lower atmosphere abundances of water vapor and other species.
A reassessment of Galileo radiation exposures in the Jupiter magnetosphere.
Atwell, William; Townsend, Lawrence; Miller, Thomas; Campbell, Christina
2005-01-01
Earlier particle experiments in the 1970s on Pioneer-10 and -11 and Voyager-1 and -2 provided Jupiter flyby particle data, which were used by Divine and Garrett to develop the first Jupiter trapped radiation environment model. This model was used to establish a baseline radiation effects design limit for the Galileo onboard electronics. Recently, Garrett et al. have developed an updated Galileo Interim Radiation Environment (GIRE) model based on Galileo electron data. In this paper, we have used the GIRE model to reassess the computed radiation exposures and dose effects for Galileo. The 34-orbit 'as flown' Galileo trajectory data and the updated GIRE model were used to compute the electron and proton spectra for each of the 34 orbits. The total ionisation doses of electrons and protons have been computed based on a parametric shielding configuration, and these results are compared with previously published results.
A reassessment of Galileo radiation exposures in the Jupiter magnetosphere
International Nuclear Information System (INIS)
Atwell, W.; Townsend, L.; Miller, T.; Campbell, C.
2005-01-01
Earlier particle experiments in the 1970's on Pioneer-10 and -11 and Voyager-1 and -2 provided Jupiter flyby particle data, which were used by Divine and Garrett to develop the first Jupiter trapped radiation environment model. This model was used to establish a baseline radiation effects design limit for the Galileo onboard electronics. Recently, Garrett et al. have developed an updated Galileo Interim Radiation Environment (GIRE) model based on Galileo electron data. In this paper, we have used the GIRE model to reassess the computed radiation exposures and dose effects for Galileo. The 34-orbit 'as flown' Galileo trajectory data and the updated GIRE model were used to compute the electron and proton spectra for each of the 34 orbits. The total ionisation doses of electrons and protons have been computed based on a parametric shielding configuration, and these results are compared with previously published results. Published by Oxford Univ. Press. All right reserved. (authors)
Galileo and the equations of motion
Boccaletti, Dino
2016-01-01
This book is intended as a historical and critical study on the origin of the equations of motion as established in Newton's Principia. The central question that it aims to answer is whether it is indeed correct to ascribe to Galileo the inertia principle and the law of falling bodies. In order to accomplish this task, the study begins by considering theories on the motion of bodies from classical antiquity, and especially those of Aristotle. The theories developed during the Middle Ages and the Renaissance are then reviewed, with careful analysis of the contributions of, for example, the Merton and Parisian Schools and Galileo’s immediate predecessors, Tartaglia and Benedetti. Finally, Galileo’s work is examined in detail, starting from the early writings. Excerpts from individual works are presented, to allow the texts to speak for themselves, and then commented upon. The book provides historical evidence both for Galileo's dependence on his forerunners and for the major breakthroughs that he achieved...
Galileo photometry of asteroid 243 Ida
Helfenstein, P.; Veverka, J.; Thomas, P.C.; Simonelli, D.P.; Klaasen, K.; Johnson, T.V.; Fanale, F.; Granahan, J.; McEwen, A.S.; Belton, M.; Chapman, C.
1996-01-01
Galileo imaging observations over phase angles 19.5?? to 109.8?? are combined with near-opposition Earth-based data to derive the photometric properties of Ida. To first order these properties are uniform over the surface and well modeled at ?? = 0.55 ??m by Hapke parameters ????0 = 0.22, h = 0.020, B0 = 1.5, g = -0.33, and ?? = 18?? with corresponding geometric albedo p = 0.21??0.030.01 and Bond albedo AB = 0.081??0.0170.008. Ida's photometric properties are more similar to those of "average S-asteroids" (P. Helfenstein and J. Veverka 1989, Asteroids II, Univ. of Arizona Press, Tucson) than are those of 951 Gaspra. Two primary color units are identified on Ida: Terrain A exhibits a spectrum with relatively shallower 1-??m absorption and a relatively steeper red spectral slope than average Ida, while Terrain B has a deeper 1-??m absorption and a less steep red slope. The average photometric properties of Ida and Terrain A are similar while those of Terrain B differ mostly in having a slightly higher value of ????0 (0.22 versus 0.21), suggesting that Terrain B consists of slightly brighter, more transparent regolith particles. Galileo observations of Ida's satellite Dactyl over phase angles 19.5?? to 47.6?? suggest photometric characteristics similar to those of Ida, the major difference being Dactyl's slightly lower albedo (0.20 compared to 0.21). ?? 1990 Academic Press, Inc.
Keszthelyi, L.; McEwen, A.S.; Phillips, C.B.; Milazzo, M.; Geissler, P.; Turtle, E.P.; Radebaugh, J.; Williams, D.A.; Simonelli, D.P.; Breneman, H.H.; Klaasen, K.P.; Levanas, G.; Denk, T.; Alexander, D.D.A.; Capraro, K.; Chang, S.-H.; Chen, A.C.; Clark, J.; Conner, D.L.; Culver, A.; Handley, T.H.; Jensen, D.N.; Knight, D.D.; LaVoie, S.K.; McAuley, M.; Mego, V.; Montoya, O.; Mortensen, H.B.; Noland, S.J.; Patel, R.R.; Pauro, T.M.; Stanley, C.L.; Steinwand, D.J.; Thaller, T.F.; Woncik, P.J.; Yagi, G.M.; Yoshimizu, J.R.; Alvarez, Del; Castillo, E.M.; Belton, M.J.S.; Beyer, R.; Branston, D.; Fishburn, M.B.; Mueller, B.; Ragan, R.; Samarasinha, N.; Anger, C.D.; Cunningham, C.; Little, B.; Arriola, S.; Carr, M.H.; Asphaug, E.; Moore, J.; Morrison, D.; Rages, K.; Banfield, D.; Bell, M.; Burns, J.A.; Carcich, B.; Clark, B.; Currier, N.; Dauber, I.; Gierasch, P.J.; Helfenstein, P.; Mann, M.; Othman, O.; Rossier, L.; Solomon, N.; Sullivan, R.; Thomas, P.C.; Veverka, J.; Becker, T.; Edwards, K.; Gaddis, L.; Kirk, R.; Lee, E.; Rosanova, T.; Sucharski, R.M.; Beebe, R.F.; Simon, A.; Bender, K.; Chuang, F.; Fagents, S.; Figueredo, P.; Greeley, R.; Homan, K.; Kadel, S.; Kerr, J.; Klemaszewski, J.; Lo, E.; Schwarz, W.; Williams, K.; Bierhaus, E.; Brooks, S.; Chapman, C.R.; Merline, B.; Keller, J.; Schenk, P.; Tamblyn, P.; Bouchez, A.; Dyundian, U.; Ingersoll, A.P.; Showman, A.; Spitale, J.; Stewart, S.; Vasavada, A.; Cunningham, W.F.; Johnson, T.V.; Jones, T.J.; Kaufman, J.M.; Magee, K.P.; Meredith, M.K.; Orton, G.S.; Senske, D.A.; West, A.; Winther, D.; Collins, G.; Fripp, W.J.; Head, J. W.; Pappalardo, R.; Pratt, S.; Procter, L.; Spaun, N.; Colvin, T.; Davies, M.; DeJong, E.M.; Hall, J.; Suzuki, S.; Gorjian, Z.; Giese, B.; Koehler, U.; Neukum, G.; Oberst, J.; Roatsch, T.; Tost, W.; Schuster, P.; Wagner, R.; Dieter, N.; Durda, D.; Greenberg, R.J.; Hoppa, G.; Jaeger, W.; Plassman, J.; Tufts, R.; Fanale, F.P.; Gran,
2001-01-01
The Solid-State Imaging (SSI) instrument provided the first high- and medium-resolution views of Io as the Galileo spacecraft closed in on the volcanic body in late 1999 and early 2000. While each volcanic center has many unique features, the majority can be placed into one of two broad categories. The "Promethean" eruptions, typified by the volcanic center Prometheus, are characterized by long-lived steady eruptions producing a compound flow field emplaced in an insulating manner over a period of years to decades. In contrast, "Pillanian" eruptions are characterized by large pyroclastic deposits and short-lived but high effusion rate eruptions from fissures feeding open-channel or open-sheet flows. Both types of eruptions commonly have ???100-km-tall, bright, SO2-rich plumes forming near the flow fronts and smaller deposits of red material that mark the vent for the silicate lavas. Copyright 2001 by the American Geophysical Union.
Changes east of Pele between Galileo's first two orbits
1996-01-01
Detail of changes east of Pele on Jupiter's moon Io as seen by NASA's Galileo spacecraft between June (left) and September (right) 1996. The caldera at the center of the images that changes from bright to dark is approximately 80 kilometers in diameter. Some scientists speculate that this brightness (albedo) change might be due to flooding of the crater floor by lava. The left frame was reprojected and stretched to match the geometry and average colors of the right frame. Before this stretch, the earlier image (left) was significantly redder than the later image (right); this may be due to variations in lighting. Both frames were created with images from the Galileo Solid State Imaging system's near-infrared (756 nm), green, and violet filters. North is to the top of both frames.The Jet Propulsion Laboratory, Pasadena, CA manages the Galileo mission for NASA's Office of Space Science, Washington, DC. JPL is an operating division of California Institute of Technology (Caltech).This image and other images and data received from Galileo are posted on the World Wide Web, on the Galileo mission home page at URL http://galileo.jpl.nasa.gov. Background information and educational context for the images can be found at URL http://www.jpl.nasa.gov/galileo/sepo
Directory of Open Access Journals (Sweden)
Iramis Miranda Hernández
2012-06-01
Full Text Available Objetivo: Comparar valores del espesor corneal central obtenidos mediante la paquimetría con el sistema de interferometria de coherencia parcial (Lenstar con los sistemas Scheimpflug (Pentacam; Oculus y Galilei (Ziemer, Suiza. Métodos: Se realizó un estudio prospectivo, comparativo en 120 ojos de 60 pacientes. Para la comparación se tomaron varias mediciones recomendadas por los fabricantes para probar la eficacia del equipo con el nuevo biómetro Lenstar LS 900 (Haag Streit AG y con los equipos Pentacam y Galilei. La comparación de los valores se realizó mediante el análisis de regresión lineal y correlación de Pearson. Resultados: El análisis reveló que existe una alta correspondencia en los valores del espesor corneal central entre Lenstar y los topógrafos Galilei y Pentacam. Conclusiones: Existe una alta correspondencia entre los valores del espesor corneal central obtenidos por los equipos Lenstar, Pentacam y Galilei. Por esto el equipo Lenstar es útil en la cirugía de catarata y la cirugía refractiva.Objective: To compare the central corneal thickness measurements taken by pachimetry with the partial coherence interferometry, Lenstar and with Scheimpflug systems (Pentacam; Oculus and Galilei (Ziemer, Switzerland. Methods: Comparative and prospective study of 120 eyes from 60 patients. Several recommended measurements were taken with the optical biometers LenstarLS 900 (Haag Streit AG and with Pentacam y Galilei topographers. The results were evaluated using the linear regresión analysis and Pearson´s correlation. Results: There is high correlation among the central corneal thickness measurements taken by the Lenstar equipment and topographers Pentacam and Galilei. Conclusion: The new biometer LENSTAR provided results that correlated very well with those of the Pentacam and Galilei systems. The Lenstar is a precise device that will be helpful for any cataract or refractive surgery.
Energetic particles at venus: galileo results.
Williams, D J; McEntire, R W; Krimigis, S M; Roelof, E C; Jaskulek, S; Tossman, B; Wilken, B; Stüdemann, W; Armstrong, T P; Fritz, T A; Lanzerotti, L J; Roederer, J G
1991-09-27
At Venus the Energetic Particles Detector (EPD) on the Galileo spacecraft measured the differential energy spectra and angular distributions of ions >22 kiloelectron volts (keV) and electrons > 15 keV in energy. The only time particles were observed by EPD was in a series of episodic events [0546 to 0638 universal time (UT)] near closest approach (0559:03 UT). Angular distributions were highly anisotropic, ordered by the magnetic field, and showed ions arriving from the hemisphere containing Venus and its bow shock. The spectra showed a power law form with intensities observed into the 120- to 280-keV range. Comparisons with model bow shock calculations show that these energetic ions are associated with the venusian foreshock-bow shock region. Shock-drift acceleration in the venusian bow shock seems the most likely process responsible for the observed ions.
SIG Galileo final converter technical summary report
International Nuclear Information System (INIS)
Hinderman, J.D.
1979-05-01
The report is primarily concerned with the work performed for DOE on converter development and fabrication for the NASA Galileo Jupiter mission as a DOE prime contractor with interface primarily with Teledyne Energy Systems. The activities reported on were directed toward design, analysis and testing of modules and converters SN-1 thru SN-7 and attendant Quality Control and Reliability effort. Although assembly and testing of SN-1 was not accomplished due to the stop work order, the design was virtually completed and a significant amount of subcontracting and manufacturing of both module and converter components was underway. These subcontracting and manufacturing activities were selectively closed down depending upon degree of completion and material or hardware potential usage in the Technology Program
Questions of Modern Cosmology Galileo's Legacy
D'Onofrio, Mauro
2009-01-01
Are we living in the "golden age" of cosmology? Are we close to understanding the nature of the unknown ingredients of the currently most accepted cosmological model and the physics of the early Universe? Or are we instead approaching a paradigm shift? What is dark matter and does it exist? How is it distributed around galaxies and clusters? Is the scientific community open to alternative ideas that may prompt a new scientific revolution - as the Copernican revolution did in Galileo's time? Do other types of supernovae exist that can be of interest for cosmology? Why have quasars never been effectively used as standard candles? Can you tell us about the scientific adventure of COBE? How does the extraction of the Cosmic Microwave Background anisotropy depend on the subtraction of the various astrophysical foregrounds? These, among many others, are the astrophysical, philosophical and sociological questions surrounding modern cosmology and the scientific community that Mauro D'Onofrio and Carlo Burigana pose t...
Storyboard GALILEO CRUISE SCIENCE OPPORTUNITIES describes asteroid encounters
1989-01-01
Storyboard with mosaicked image of an asteroid and entitled GALILEO CRUISE SCIENCE OPPORTUNITIES describes asteroid objectives. These objectives include: first asteroid encounter; surface geology, composition size, shape, mass; and relation of primitive bodies to meteorites.
GALILEO ORBITER V POS VENUS TRAJECTORY V1.0
National Aeronautics and Space Administration — Galileo Orbiter 60 second sampled trajectory data from the Venus flyby in Venus Solar Orbital (VSO) coordinates. These data cover the interval 1990-02-09 00:00 to...
GNSS global navigation satellite systems : GPS, GLONASS, Galileo, and more
Hofmann-Wellenhof, Bernhard; Wasle, Elmar
2008-01-01
This book is an extension to the acclaimed scientific bestseller "GPS - Theory and Practice". It covers Global Navigation Satellite Systems (GNSS) and includes the Russian GLONASS, the European system Galileo, and additional systems.
Galileo Photometry of Asteroid 951 Gaspra
Helfenstein, P.; Veverka, J.; Thomas, P.C.; Simonelli, D.P.; Lee, P.; Klaasen, K.; Johnson, T.V.; Breneman, H.; Head, J.W.; Murchie, S.; Fanale, F.; Robinson, M.; Clark, B.; Granahan, J.; Garbeil, H.; McEwen, A.S.; Kirk, R.L.; Davies, M.; Neukum, G.; Mottola, S.; Wagner, R.; Belton, M.; Chapman, C.; Pilcher, C.
1994-01-01
Galileo images of Gaspra make it possible for the first time to determine a main-belt asteroid's photometric properties accurately by providing surface-resolved coverage over a wide range of incidence and emission angles and by extending the phase angle coverage to phases not observable from Earth. We combine Earth-based telescopic photometry over phase angles 2?? ??? ?? ??? 25?? with Galileo whole-disk and disk-resolved data at 33?? ??? ?? ??? 51?? to derive average global photometric properties in terms of Hapke's photometric model. The microscopic texture and particle phase-function behavior of Gaspra's surface are remarkably like those of other airless rocky bodies such as the Moon. The macroscopic surface roughness parameter, ??̄ = 29??, is slightly larger than that reported for typical lunar materials. The particle single scattering albedo, ??́0 = 0.36 ?? 0.07, is significantly larger than for lunar materials, and the opposition surge amplitude, B0 = 1.63 ?? 0.07, is correspondingly smaller. We determine a visual geometric albedo pv = 0.22 ?? 0.06 for Gaspra, in close agreement with pv = 0.22 ?? 0.03 estimated from Earth-based observations. Gaspra's phase integral is 0.47, and the bolometric Bond albedo is estimated to be 0.12 ?? 0.03. An albedo map derived by correcting Galileo images with our average global photometric function reveals subdued albedo contrasts of ??10% or less over Gaspra's northern hemisphere. Several independent classification algorithms confirm the subtle spectral heterogeneity reported earlier (S. Mottola, M. DiMartino, M. Gonano-Beurer, H. Hoffman, and G. Neukum, 1993, Asteroids, Comets, Meteors, pp. 421-424; M. J. S. Belton et al., 1992, Science 257, 1647-1652). Whole-disk colors (0.41 ??? ?? ??? 0.99 ??m) vary systematically with longitude by about ??5%, but color differences as large as 30% occur locally. Colors vary continuously between end-member materials whose areal distribution correlates with regional topography. Infrared
International Nuclear Information System (INIS)
Roedel, S.
1979-06-01
The purpose of the receptacle test program was to test various types of hermetically sealed electrical receptacles and to select one model as the spaceflight hardware item for SIG/Galileo thermoelectric generators. The design goal of the program was to qualify a hermetic seal integrity of less than or equal to 1 x 10 -9 std cc He/sec -atm at 400 0 F (204 0 C) and verify a reliability of 0.95 at a 50% confidence level for a flight mission in excess of 7 years
Galileo - The Serial-Production AIT Challenge
Ragnit, Ulrike; Brunner, Otto
2008-01-01
The Galileo Project is one of the most demanding projects of ESA, being Europe's autarkic navigation system and a constellation composed of 30 satellites. This presentation points out the different phases of the project up to the full operational capability and the corresponding launch options with respect to launch vehicles as well as launch configurations. One of the biggest challenges is to set up a small serial 'production line' for the overall integration and test campaign of satellites. This production line demands an optimization of all relevant tasks, taking into account also backup and recovery actions. A comprehensive AIT concept is required, reflecting a tightly merged facility layout and work flow design. In addition a common data management system is needed to handle all spacecraft related documentation and to have a direct input-out flow for all activities, phases and positions at the same time. Process optimization is a well known field of engineering in all small high tech production lines, nevertheless serial production of satellites are still not the daily task in space business and therefore new concepts have to be put in place. Therefore, and in order to meet the satellites overall system optimization, a thorough interface between unit/subsystem manufacturing and satellite AIT must be realized to ensure a smooth flow and to avoid any process interruption, which would directly lead to a schedule impact.
Galileo and 400 Years of Telescopic Astronomy
Grego, Peter
2010-01-01
Imagine yourself living 400 years ago, right before the telescope was first used by Galileo to look up into the skies and find unforeseen wonders. You probably believed, with most of the known world, that Earth was at the center of the magnificent parade of planets and stars above you, and the Sun’s purpose in journeying across the sky was to give Earth daylight and warmth. Suddenly, though, your world is turned upside down. The Church, all powerful in its doctrines and teachings of the times, continues to support theories that don’t fit the facts presented by scientists. Scientists in their quest for truth must hide their findings or risk the harsh penalties imposed by the Church. We have gone from a comforting Earth-centered universe to a tiny floating spec in a gigantic cosmos, barely a comma in a lengthy treatise. And we have gone there in a blink of an eye. We may have lost our central position in the universe, but Grego and Mannion show us how much we have gained in understanding the universe around...
The Galileo Teacher Training Program Global Efforts
Doran, R.; Pennypacker, C.; Ferlet, R.
2012-08-01
The Galileo Teacher Training Program (GTTP) successfully named representatives in nearly 100 nations in 2009, the International Year of Astronomy (IYA2009). The challenge had just begun. The steps ahead are how to reach educators that might benefit from our program and how to help build a more fair and science literate society, a society in which good tools and resources for science education are not the privilege of a few. From 2010 on our efforts have been to strengthen the newly formed network and learn how to equally help educators and students around the globe. New partnerships with other strong programs and institutions are being formed, sponsorship schemes being outlined, new tools and resources being publicized, and on-site and video conference training conducted all over the world. Efforts to officially accredit a GTTP curriculum are on the march and a stronger certification process being outlined. New science topics are being integrated in our effort and we now seek to discuss the path ahead with experts in this field and the community of users, opening the network to all corners of our beautiful blue dot. The main aim of this article is to open the discussion regarding the urgent issue of how to reawaken student interest in science, how to solve the gender inequality in science careers, and how to reach the underprivileged students and open to them the same possibilities. Efforts are in strengthening the newly formed network and learning how to equally help educators and students around the globe.
Professional mathematicians differ from controls in their spatial-numerical associations.
Cipora, Krzysztof; Hohol, Mateusz; Nuerk, Hans-Christoph; Willmes, Klaus; Brożek, Bartosz; Kucharzyk, Bartłomiej; Nęcka, Edward
2016-07-01
While mathematically impaired individuals have been shown to have deficits in all kinds of basic numerical representations, among them spatial-numerical associations, little is known about individuals with exceptionally high math expertise. They might have a more abstract magnitude representation or more flexible spatial associations, so that no automatic left/small and right/large spatial-numerical association is elicited. To pursue this question, we examined the Spatial Numerical Association of Response Codes (SNARC) effect in professional mathematicians which was compared to two control groups: Professionals who use advanced math in their work but are not mathematicians (mostly engineers), and matched controls. Contrarily to both control groups, Mathematicians did not reveal a SNARC effect. The group differences could not be accounted for by differences in mean response speed, response variance or intelligence or a general tendency not to show spatial-numerical associations. We propose that professional mathematicians possess more abstract and/or spatially very flexible numerical representations and therefore do not exhibit or do have a largely reduced default left-to-right spatial-numerical orientation as indexed by the SNARC effect, but we also discuss other possible accounts. We argue that this comparison with professional mathematicians also tells us about the nature of spatial-numerical associations in persons with much less mathematical expertise or knowledge.
The Galileo Solid-State Imaging experiment
Belton, M.J.S.; Klaasen, K.P.; Clary, M.C.; Anderson, J.L.; Anger, C.D.; Carr, M.H.; Chapman, C.R.; Davies, M.E.; Greeley, R.; Anderson, D.; Bolef, L.K.; Townsend, T.E.; Greenberg, R.; Head, J. W.; Neukum, G.; Pilcher, C.B.; Veverka, J.; Gierasch, P.J.; Fanale, F.P.; Ingersoll, A.P.; Masursky, H.; Morrison, D.; Pollack, James B.
1992-01-01
The Solid State Imaging (SSI) experiment on the Galileo Orbiter spacecraft utilizes a high-resolution (1500 mm focal length) television camera with an 800 ?? 800 pixel virtual-phase, charge-coupled detector. It is designed to return images of Jupiter and its satellites that are characterized by a combination of sensitivity levels, spatial resolution, geometric fiedelity, and spectral range unmatched by imaging data obtained previously. The spectral range extends from approximately 375 to 1100 nm and only in the near ultra-violet region (??? 350 nm) is the spectral coverage reduced from previous missions. The camera is approximately 100 times more sensitive than those used in the Voyager mission, and, because of the nature of the satellite encounters, will produce images with approximately 100 times the ground resolution (i.e., ??? 50 m lp-1) on the Galilean satellites. We describe aspects of the detector including its sensitivity to energetic particle radiation and how the requirements for a large full-well capacity and long-term stability in operating voltages led to the choice of the virtual phase chip. The F/8.5 camera system can reach point sources of V(mag) ??? 11 with S/N ??? 10 and extended sources with surface brightness as low as 20 kR in its highest gain state and longest exposure mode. We describe the performance of the system as determined by ground calibration and the improvements that have been made to the telescope (same basic catadioptric design that was used in Mariner 10 and the Voyager high-resolution cameras) to reduce the scattered light reaching the detector. The images are linearly digitized 8-bits deep and, after flat-fielding, are cosmetically clean. Information 'preserving' and 'non-preserving' on-board data compression capabilities are outlined. A special "summation" mode, designed for use deep in the Jovian radiation belts, near Io, is also described. The detector is 'preflashed' before each exposure to ensure the photometric linearity
International Nuclear Information System (INIS)
Zeidler, Eberhard
2009-01-01
This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics. (orig.)
Quantum field theory II: quantum electrodynamics. A bridge between mathematicians and physicists
International Nuclear Information System (INIS)
Zeidler, Eberhard
2009-01-01
This is the second volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. This book seeks to bridge the existing gap between the different languages used by mathematicians and physicists. For students of mathematics it is shown that detailed knowledge of the physical background helps to discover interesting interrelationships between quite diverse mathematical topics. For students of physics fairly advanced mathematics, beyond that included in the usual curriculum in physics, is presented. The present volume concerns a detailed study of the mathematical and physical aspects of the quantum theory of light. (orig.)
Energy Technology Data Exchange (ETDEWEB)
Zeidler, Eberhard [Max-Planck-Institut fuer Mathematik in den Naturwissenschaften, Leipzig (Germany)
2009-07-01
This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics. (orig.)
Quantum field theory II: quantum electrodynamics. A bridge between mathematicians and physicists
Energy Technology Data Exchange (ETDEWEB)
Zeidler, Eberhard [Max Planck Institute for Mathematics in the Sciences, Leipzig (Germany)
2009-07-01
This is the second volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. This book seeks to bridge the existing gap between the different languages used by mathematicians and physicists. For students of mathematics it is shown that detailed knowledge of the physical background helps to discover interesting interrelationships between quite diverse mathematical topics. For students of physics fairly advanced mathematics, beyond that included in the usual curriculum in physics, is presented. The present volume concerns a detailed study of the mathematical and physical aspects of the quantum theory of light. (orig.)
Mathematics delivering the advantage: the role of mathematicians in manufacturing and beyond.
Saward, Vicki
2017-05-01
Much has been written about the benefits that mathematics can bring to the UK economy and the manufacturing sector in particular, but less on the value of mathematicians and a mathematical training. This article, written from an industry perspective, considers the value of mathematicians to the UK's industrial base and the importance to the UK economy of encouraging young people in the UK to choose to study mathematics at school as a gateway to a wide range of careers. The points are illustrated using examples from the author's 20 years' experience in the security and intelligence and manufacturing sectors.
GPHS-RTG performance on the Galileo mission
International Nuclear Information System (INIS)
Hemler, R.J.; Cockfield, R.D.
1991-01-01
The Galileo spacecraft, launched in October, 1989, is powered by two General Purpose Heat source-Radioisotope Thermoelectric Generator (GPHS-RTGs). These RTGs were designed, built, and tested by General Electric under contract from the Office of Special Applications of the Department of Energy (DOE). Isotope heat source installation and additional testing of these RTGs were performed at DOE's EG ampersand G Mound Facility in Miamisburg, Ohio. This paper provides a report on performance of the RTGs during launch and the early phases of the eight year Galileo mission.The effect of long term storage of the RTGs on power output, since the originally scheduled launch data in May, 1986, will be dicussed, including the effects of helium buildup and subsequent purging with xenon. The RTGs performed as expected during the launch transient, met all specified power requirements for Beginning of Mission (BOM), and continue to follow prediced performance characteristics during the first year of the Galileo mission
Galileo Avionica's technologies and instruments for planetary exploration.
Battistelli, E; Falciani, P; Magnani, P; Midollini, B; Preti, G; Re, E
2006-12-01
Several missions for planetary exploration, including comets and asteroids, are ongoing or planned by the European Space Agencies: Rosetta, Venus Express, Bepi Colombo, Dawn, Aurora and all Mars Programme (in its past and next missions) are good examples. The satisfaction of the scientific request for the mentioned programmes calls for the development of new instruments and facilities devoted to investigate the body (planet, asteroid or comet) both remotely and by in situ measurements. The paper is an overview of some instruments for remote sensing and in situ planetary exploration already developed or under study by Galileo Avionica Space & Electro-Optics B.U. (in the following shortened as Galileo Avionica) for both the Italian Space Agency (ASI) and for the European Space Agency (ESA). Main technologies and specifications are outlined; for more detailed information please refer to Galileo Avionica's web-site at: http://www.galileoavionica.com .
Four centuries later: how to close the Galileo case?
Segre, Michael
The "Galileo case" is still open: John Paul II's 1979 initiative to "recognize wrongs from whatever side they come" was carried out in an unsatisfactory manner. The task would have been easy had the Pontifical Study Commission created for that purpose concentrated on the 1616 decree alone and declared it not in line with the hermeneutical guidelines of the Council of Trent, in agreement with Galileo and not with Saint Robert Bellarmine. A possible avenue to closing the "Galileo case" on the part of the Church of Rome could, thus, be to change its current defensive attitude and declare itself no longer what it was in 1616, since another such "case" is, hopefully, no longer conceivable.
Ultraviolet Studies of Jupiter's Hydrocarbons and Aerosols from Galileo
Gladstone, G. Randall
2001-01-01
This is the final report for this project. The purpose of this project was to support PI Wayne Pryor's effort to reduce and analyze Galileo UVS (Ultraviolet Spectrometer) data under the JSDAP program. The spectral observations made by the Galileo UVS were to be analyzed to determine mixing ratios for important hydrocarbon species (and aerosols) in Jupiter's stratosphere as a function of location on Jupiter. Much of this work is still ongoing. To date, we have concentrated on analyzing the variability of the auroral emissions rather than the absorption signatures of hydrocarbons, although we have done some work in this area with related HST-STIS data.
Galileo and Ulysses missions safety analysis and launch readiness status
International Nuclear Information System (INIS)
Cork, M.J.; Turi, J.A.
1989-01-01
The Galileo spacecraft will explore the Jupiter system and Ulysses will fly by Jupiter en route to a polar orbit of the sun. Both spacecraft are powered by general purpose heat source radioisotope thermoelectric generators (RTGs). As a result of the Challenger accident and subsequent mission reprogramming, the Galileo and Ulysses missions' safety analysis had to be repeated. In addition to presenting an overview of the safety analysis status for the missions, this paper presents a brief review of the missions' objectives and design approaches, RTG design characteristics and development history, and a description of the safety analysis process. (author)
Moreau, Marie-Pierre; Mendick, Heather; Epstein, Debbie
2010-01-01
In this paper, based on a project funded by the UK Economic and Social Research Council considering how people position themselves in relation to popular representations of mathematics and mathematicians, we explore constructions of mathematicians in popular culture and the ways learners make meanings from these. Drawing on an analysis of popular…
Solomon, Yvette; Radovic, Darinka; Black, Laura
2016-01-01
A common theme in accounts of choosing mathematics is that of persistence in the face of troubles or difficulties which are often associated with the structuring effects of gender, class, culture and ethnicity. Centring on an analysis of one woman's account of becoming a mathematician, we build on our understanding of multiple and developing…
The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof
Borwein, Jonathan M.
2005-01-01
The emergence of powerful mathematical computing environments, the growing availability of correspondingly powerful (multi-processor) computers and the pervasive presence of the Internet allow for mathematicians, students and teachers, to proceed heuristically and "quasi-inductively." We may increasingly use symbolic and numeric computation,…
Directory of Open Access Journals (Sweden)
Alexandre Borovik
2011-12-01
Full Text Available Although mathematicians frequently use specialist software in direct teaching ofmathematics, as a means of delivery e-learning technologies have so far been lesswidely used. We (mathematicians insist that teaching methods should be subjectspecificand content-driven, not delivery-driven. We oppose generic approaches toteaching, including excessively generalist, content-free, one-size-fits-allpromotion of information and communications technology. This stance is fullyexpressed, for example, in the recent Teaching Position Statement from the LondonMathematical Society (2010 and is supported by a recent report from the NationalUnion of Students (2010, 5: “Not every area of study needed or was compatiblewith e-learning, and so to assume it would grant blanket advantages was notaccurate”. This paper is an attempt to explain mathematicians' selectivity in use ofinformation and communications technology and its guiding principles. The paperis addressed to our non-mathematician colleagues and is not intended to be a surveyof the existing software and courseware for mathematics teaching – the corpus ofexisting solutions is enormous and its discussion inevitably involves hardcoremathematics.
On the role of visual experience in mathematical development: Evidence from blind mathematicians.
Amalric, Marie; Denghien, Isabelle; Dehaene, Stanislas
2018-04-01
Advanced mathematical reasoning, regardless of domain or difficulty, activates a reproducible set of bilateral brain areas including intraparietal, inferior temporal and dorsal prefrontal cortex. The respective roles of genetics, experience and education in the development of this math-responsive network, however, remain unresolved. Here, we investigate the role of visual experience by studying the exceptional case of three professional mathematicians who were blind from birth (n=1) or became blind during childhood (n=2). Subjects were scanned with fMRI while they judged the truth value of spoken mathematical and nonmathematical statements. Blind mathematicians activated the classical network of math-related areas during mathematical reflection, similar to that found in a group of sighted professional mathematicians. Thus, brain networks for advanced mathematical reasoning can develop in the absence of visual experience. Additional activations were found in occipital cortex, even in individuals who became blind during childhood, suggesting that either mental imagery or a more radical repurposing of visual cortex may occur in blind mathematicians. Copyright © 2017 The Authors. Published by Elsevier Ltd.. All rights reserved.
Bennison, Anne; Goos, Merrilyn
2016-01-01
Collaboration between mathematicians and mathematics educators may provide a means of improving the quality of pre-service teacher education for prospective teachers of mathematics. Some preliminary findings of a project that investigates this type of interdisciplinary collaboration, both within and across institutions, are reported on in this…
Buteau, Chantal; Jarvis, Daniel H.; Lavicza, Zsolt
2014-01-01
In this article, we outline the findings of a Canadian survey study (N = 302) that focused on the extent of computer algebra systems (CAS)-based technology use in postsecondary mathematics instruction. Results suggest that a considerable number of Canadian mathematicians use CAS in research and teaching. CAS use in research was found to be the…
Mathematical Experiences and Parental Involvement of Parents Who Are and Who Are Not Mathematicians
Antolin Drešar, Darja; Lipovec, Alenka
2017-01-01
Previous studies suggest that parental involvement in children's mathematics education is more established for parents who feel competent in mathematics. This qualitative study aimed to gain an in-depth insight into the experiences of parental involvement of two different groups of parents: those who are mathematicians and those who are not. Data…
Giftedness and Aesthetics: Perspectives of Expert Mathematicians and Mathematically Gifted Students
Tjoe, Hartono
2015-01-01
Giftedness in mathematics has been characterized by exceptional attributes including strong mathematical memory, formalizing perception, generalization, curtailment, flexibility, and elegance. Focusing on the last attribute, this study examined the following: (a) the criteria which expert mathematicians and mathematically gifted students fleshed…
On the role of visual experience in mathematical development: Evidence from blind mathematicians
Directory of Open Access Journals (Sweden)
Marie Amalric
2018-04-01
Full Text Available Advanced mathematical reasoning, regardless of domain or difficulty, activates a reproducible set of bilateral brain areas including intraparietal, inferior temporal and dorsal prefrontal cortex. The respective roles of genetics, experience and education in the development of this math-responsive network, however, remain unresolved. Here, we investigate the role of visual experience by studying the exceptional case of three professional mathematicians who were blind from birth (n = 1 or became blind during childhood (n = 2. Subjects were scanned with fMRI while they judged the truth value of spoken mathematical and nonmathematical statements. Blind mathematicians activated the classical network of math-related areas during mathematical reflection, similar to that found in a group of sighted professional mathematicians. Thus, brain networks for advanced mathematical reasoning can develop in the absence of visual experience. Additional activations were found in occipital cortex, even in individuals who became blind during childhood, suggesting that either mental imagery or a more radical repurposing of visual cortex may occur in blind mathematicians. Keywords: Advanced mathematical development, Blindness, Functional MRI
A Fruitful Exchange/Conflict: Engineers and Mathematicians in Early Modern Italy
Maffioli, Cesare S.
2013-01-01
Exchanges of learning and controversies between engineers and mathematicians were important factors in the development of early modern science. This theme is discussed by focusing, first, on architectural and mathematical dynamism in mid 16th-century Milan. While some engineers-architects referred to Euclid and Vitruvius for improving their…
Acting Like a Mathematician: A Project to Encourage Inquiry Early in the Math Major
Camenga, Kristin A.
2017-01-01
Inquiry is promoted as a way to engage students so that they learn more deeply; inquiry is also an end in itself, introducing students to the research process and the behaviors of a mathematician. This article reflects on an individual exploratory project used in a sophomore-level number theory course, examining how it supported student inquiry…
Weber, Keith; Inglis, Matthew; Mejia-Ramos, Juan Pablo
2014-01-01
The received view of mathematical practice is that mathematicians gain certainty in mathematical assertions by deductive evidence rather than empirical or authoritarian evidence. This assumption has influenced mathematics instruction where students are expected to justify assertions with deductive arguments rather than by checking the assertion…
Imagining the Mathematician: Young People Talking about Popular Representations of Maths
Epstein, Debbie; Mendick, Heather; Moreau, Marie-Pierre
2010-01-01
This paper makes both a critical analysis of some popular cultural texts about mathematics and mathematicians, and explores the ways in which young people deploy the discourses produced in these texts. We argue that there are particular (and sometimes contradictory) meanings and discourses about mathematics that circulate in popular culture, that…
A life of learning in Leiden. The mathematician Frans van Schooten (1615-1660)
Dopper, J.G.
2014-01-01
Frans van Schooten jr. (1615-1660) was one of the most influential Dutch mathematicians of the seventeenth century. He is best known for his two Latin editions (1649, 1659-61) of the Géométrie (1637) of Descartes, which originally appeared in French as an appendix to the Discours de la Methode. This
A Mathematician's Lament How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form
Lockhart, Paul
2009-01-01
A brilliant research mathematician who has devoted his career to teaching kids reveals math to be creative and beautiful and rejects standard anxiety-producing teaching methods. Witty and accessible, Paul Lockhart's controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever.
Galileo as an intellectual heretic and why that matters
Palmieri, Paolo
2014-03-01
What was physics like before Galileo? Five centuries ago physics was taught in universities all over Europe as part of a broader field of knowledge known as natural philosophy. It was neither quantitative, nor experimental, but mostly an a-priori, logical type of inquiry about principles concerning notions such as space, time, and motion, from which deductions could be made about the natural world. Galileo changed all that. He claimed that inquiry about nature should be experimental, and that reasoning in natural philosophy should be mathematical. It was a bold enough move. But Galileo's intellectual heresy was the discovery that knowledge of the natural world could only be achieved by relaxing the requirement that principles be known with absolute certainty. He demonstrated that a new mathematical physics could be built upon principles based on experiment. Thus the new physics could be extended recklessly by starting from less than certain foundations. Galileo's startling insight was that scientific truth need not be localized but can be diffused throughout the structure of science.
The Interagency Nuclear Safety Review Panel's Galileo safety evaluation report
International Nuclear Information System (INIS)
Nelson, R.C.; Gray, L.B.; Huff, D.A.
1989-01-01
The safety evaluation report (SER) for Galileo was prepared by the Interagency Nuclear Safety Review Panel (INSRP) coordinators in accordance with Presidential directive/National Security Council memorandum 25. The INSRP consists of three coordinators appointed by their respective agencies, the Department of Defense, the Department of Energy (DOE), and the National Aeronautics and Space Administration (NASA). These individuals are independent of the program being evaluated and depend on independent experts drawn from the national technical community to serve on the five INSRP subpanels. The Galileo SER is based on input provided by the NASA Galileo Program Office, review and assessment of the final safety analysis report prepared by the Office of Special Applications of the DOE under a memorandum of understanding between NASA and the DOE, as well as other related data and analyses. The SER was prepared for use by the agencies and the Office of Science and Technology Policy, Executive Office of the Present for use in their launch decision-making process. Although more than 20 nuclear-powered space missions have been previously reviewed via the INSRP process, the Galileo review constituted the first review of a nuclear power source associated with launch aboard the Space Transportation System
Integrated results from the COPERNICUS and GALILEO studies.
Pielen, Amelie; Clark, W Lloyd; Boyer, David S; Ogura, Yuichiro; Holz, Frank G; Korobelnik, Jean-Francois; Stemper, Brigitte; Asmus, Friedrich; Rittenhouse, Kay D; Ahlers, Christiane; Vitti, Robert; Saroj, Namrata; Zeitz, Oliver; Haller, Julia A
2017-01-01
To report on the efficacy and safety of intravitreal aflibercept in patients with macular edema secondary to central retinal vein occlusion (CRVO) in an integrated analysis of COPERNICUS and GALILEO. Patients were randomized to receive intravitreal aflibercept 2 mg every 4 weeks or sham injections until week 24. From week 24 to week 52, all intravitreal aflibercept-treated patients in both studies and sham-treated patients in COPERNICUS were eligible to receive intravitreal aflibercept based on prespecified criteria. In GALILEO, sham-treated patients continued to receive sham treatment through week 52. At week 24, mean gain in best-corrected visual acuity and mean reduction in central retinal thickness were greater for intravitreal aflibercept-treated patients compared with sham, consistent with individual trial results. At week 52, after 6 months of intravitreal aflibercept as-needed treatment in COPERNICUS, patients originally randomized to sham group experienced visual and anatomic improvements but did not improve to the extent of those initially treated with intravitreal aflibercept, while the sham group in GALILEO did not improve over week 24 mean best-corrected visual acuity scores. Ocular serious adverse events occurred in GALILEO confirmed that intravitreal aflibercept is an effective treatment for macular edema following CRVO.
On the potential of Galileo E5 for time transfer.
Martínez-Belda, Mari Carmen; Defraigne, Pascale; Bruyninx, Carine
2013-01-01
The main global navigation satellite systems (GNSS) technique currently used for accurate time and frequency transfer is based on an analysis of the ionosphere-free combinations of dual-frequency code and carrier phase measurements in a precise point positioning (PPP) mode. This technique analyses the observations of one GNSS station using external products for satellite clocks and orbits to determine the position and clock synchronization errors of this station. The frequency stability of this time transfer is limited by the noise and multipath of the Global Positioning System (GPS) and Globalnaya Navigatsionnaya Sputnikovaya Sistema (GLONASS) codes. In the near future, Galileo will offer a broadband signal E5, with low noise in the centimeter range and with the lowest multipath error ever observed. This paper investigates new analysis procedures based on the E5 codeplus- carrier (CPC) combination for time transfer. The CPC combination with E5 provides a noise level 10 times lower than the ionosphere-free combination of Galileo E1 and E5, which is very promising for improving GNSS time transfer performances. From some tests with simulated Galileo data, it is shown here that the use of the CPC combination with E5 does not improve, at present, the medium- and long-term stability of time transfer with respect to the ionosphere-free combination of Galileo E1 and E5 codes, because of the need for a second frequency signal to correct for the ionospheric delays and ambiguities.
Galileo ootab eestlaste osavõttu / Marko Saaret
Saaret, Marko
2003-01-01
Euroopa Liit käivitas eelmisel aastal uuesti mitu miljardit krooni maksva iseseisva satelliitnavigatsiooni süsteemi väljatöötamise, milles võivad osaleda ka kandidaatriikide ettevõtjad. Kommenteerib AS-i Regio juht Teet Jagomägi, kelle hinnangul ei võimalda Eesti tehnoloogiaettevõtete tase Galileo ehitamises osaleda.
Galileo and the Pendulum: Latching on to Time
Machamer, Peter; Hepburn, Brian
2004-01-01
Galileo changed the very concepts or categories by which natural philosophy could deal with matter and motion. Central to these changes was his introduction of time as a fundamental concept. He worked with the pendulum and with the inclined plane to discover his new concept of motion. Both of these showed him that acceleration and time were…
Integrating the GalileoScope into Successful Outreach Programming
Michaud, Peter D.; Slater, S.; Goldstein, J.; Harvey, J.; Garcia, A.
2010-01-01
Since 2004, the Gemini Observatory’s week-long Journey Through the Universe (JTtU) program has successfully shared the excitement of scientific research with teachers, students and the public on Hawaii’s Big Island. Based on the national JTtU program started in 1999, the Hawai‘i version reaches an average of 7,000 students annually and each year features a different theme shared with a diverse set of learners. In 2010, the theme includes the integration of the GalileoScope-produced as a keystone project for the International Year of Astronomy. In preparation, a pilot teacher workshop (held in October 2009) introduced local island teachers to the GalileoScope and a 128-page educator’s activity resource book coordinated by the University of Wyoming. Response from this initial teacher’s workshop has been strong and evaluations plus follow-up actions by participating teachers illustrate that the integration of the GalileoScope has been successful based upon this diverse sample. Integrating GalileoScopes into Chilean schools in 2010 is also underway at Gemini South. This program will solicit informal proposals from educators who wish to use the telescopes in classrooms and a Spanish version of the teacher resource book is planned. The authors conclude that integration of the GalileoScope into an existing outreach program is an effective way to keep content fresh, relevant and engaging for both educators and students. This initiative is funded by Gemini Observatory outreach program. The Gemini Observatory is operated by the Association of Universities for Research in Astronomy, Inc., under a cooperative agreement with the NSF on behalf of the Gemini partnership: the National Science Foundation (US), the Science and Technology Facilities Council (UK), the National Research Council (Canada), CONICYT (Chile), the Australian Research Council (Australia), Ministério da Ciência e Tecnologia (Brazil), and Ministerio de Ciencia, Tecnología e Innovación Productiva
Role of mathematics in cancer research: attitudes and training of Japanese mathematicians.
Kudô, A
1979-01-01
An extensive survey of attitude towards scientific information of scientists in Japan was conducted in Japan. It was published in a technical report, and this survey is reviewed in this paper, with the hope that this will furnish findings important in working out the plan for promoting exploitation of mathematical talent in biomedical research. Findings are concordant with the impression of foreign visitors: (1) pure mathematicians tend to concentrate on mathematics only; (2) applied mathematics and statistics are heavily oriented toward industry; (3) mathematicians and pharmacologists are very different in their attitudes to scientific information. Based on the personal experience of the author, difficulties to be circumvented in utilizing aptitudes for mathematics and/or statistics in biomedical research are discussed. PMID:540605
Role of mathematics in cancer research: attitudes and training of Japanese mathematicians.
Kudô, A
1979-10-01
An extensive survey of attitude towards scientific information of scientists in Japan was conducted in Japan. It was published in a technical report, and this survey is reviewed in this paper, with the hope that this will furnish findings important in working out the plan for promoting exploitation of mathematical talent in biomedical research. Findings are concordant with the impression of foreign visitors: (1) pure mathematicians tend to concentrate on mathematics only; (2) applied mathematics and statistics are heavily oriented toward industry; (3) mathematicians and pharmacologists are very different in their attitudes to scientific information. Based on the personal experience of the author, difficulties to be circumvented in utilizing aptitudes for mathematics and/or statistics in biomedical research are discussed.
Origins of the brain networks for advanced mathematics in expert mathematicians.
Amalric, Marie; Dehaene, Stanislas
2016-05-03
The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit.
Una mirada histórica a los International Congress of Mathematicians
Directory of Open Access Journals (Sweden)
Curbera Costello, Guillermo
2007-06-01
Full Text Available We review the history of the International Congress of Mathematicians (ICM. These congresses arose at the end of the 19-th century, being the last step on the professionalizing process of mathematical research. Its meetings have gathered all areas of mathematical research, exhibiting the best mathematics of the moment, and honouring the great mathematicians from the past. Prizes associated to ICMs have had a very important role, in particular, the Fields medal. The history of the congresses allow to appreciate how the rooted feeling among mathematicians of constituting a scientific research community has aided ICMs to overcome all the tragic events of the history of the 20-th century, arriving safely to the 25-th congress in Madrid in 2006.En este artículo se repasa la historia de los International Congress of Mathematicians (ICM. Estos congresos surgieron a finales del siglo XIX como culminación del proceso de profesionalización de la investigación matemática. Sus reuniones han congregado a todas las áreas de la investigación matemática, presentado la mejor matemática del momento, y han honrando a las grandes figuras del pasado. Los premios asociados a los ICM, especialmente la medalla Fields, han tenido un papel muy importante. La historia de los congresos permite apreciar cómo el arraigado sentimiento entre los matemáticos de formar una comunidad científica ha permitido a los ICM sortear los avatares de la convulsa historia del siglo XX, permitiendo llegar a la vigésima quinta edición en Madrid en 2006
Guerrero-Ortiz, Carolina; Mena-Lorca, Jaime
2015-01-01
International audience; This study analyses the results obtained from comparing the paths shown by expert mathematicians on the one hand and mathematics teachers on the other, when addressing a hypothetical problem that requires the construction of a mathematical model. The research was conducted with a qualitative approach, applying a case study which involved a group of mathematics teachers and three experts from different mathematical areas. The results show that the process of constructin...
Beckers, D.J.
2016-01-01
In this paper, we study the motives of the New Math reformers in Western Europe from the perspective of the ideas behind the moral commitment of mathematicians and their conviction that mathematics could improve the quality of life.
Revisiting the Mathematisation Thesis. Galileo, Descartes, Newton, and the Language of Nature
Czech Academy of Sciences Publication Activity Database
Kvasz, Ladislav
2016-01-01
Roč. 30, č. 4 (2016), s. 399-406 ISSN 0269-8595 Institutional support: RVO:67985955 Keywords : mathematization of motion * Koyré * Galilei * Newton Subject RIV: AA - Philosophy ; Religion OBOR OECD: Philosophy, History and Philosophy of science and technology
Galileo quale infrastruttura europea per la navigazione orientata ai servizi
Directory of Open Access Journals (Sweden)
Marco Lisi
2014-05-01
Full Text Available Galileo is a joint initiative of the European Union and the European Space Agency, and is currently the most ambitious service-oriented and technologically advanced that has everbeen developed in Europe.It's a navigation satellite system completely under civil control and has the purpose to distribute radio signals on a global scale for the localization, navigation, and time synchronization.Galileo is based on a constellation of 24 satellites, a worldwide network of ground stations and various control centers, dedicated to the control of the constellation, the management of the mission and the ongoing monitoring of performance.
A post-Galileo view of Io's interior
Keszthelyi, L.; Jaeger, W.L.; Turtle, E.P.; Milazzo, M.; Radebaugh, J.
2004-01-01
We present a self-consistent model for the interior of Io, taking the recent Galileo data into account. In this model, Io has a completely molten core, substantially molten mantle, and a very cold lithosphere. Heat from magmatic activity can mobilize volatile compounds such as SO2 in the lithosphere, and the movement of such cryogenic fluids may be important in the formation of surface features including sapping scarps and paterae. ?? Published by Elsevier Inc.
Unified derivation of the Galileo and the Lorentz transformations
International Nuclear Information System (INIS)
Sardelis, D.A.
1982-01-01
By using the principle of relativity together with the general assumptions of space-time homogeneity and space isotropy underlying the principle of inertia, a most general transformation is constructed connecting any two inertial frames. The Galileo and the Lorentz transformations are then deduced by constraining these general inertial transformations through the corresponding two physical principles: the (classical) principle of acceleration invariance and the (relativistic) principle that all interactions propagate with the same finite and invariant speed. (author)
Galileo SSI Observations of Volcanic Activity at Tvashtar Catena, Io
Milazzo, M. P.; Keszthely, L. P.; Radebaugh, J.; Davies, A. G.; Turtle, E. P.; Geissler, P.; Klaasen, K. P.; McEwen, A. S.
2005-01-01
Introduction: We report on the analysis of the Galileo SSI's observations of the volcanic activity at Tvashtar Catena, Io as discussed by Milazzo et al. Galileo's Solid State Imager (SSI) observed Tvashtar Catena (63 deg N, 120 deg W) four times between November 1999 and October 2001, providing a unique look at the distinctive high latitude volcanism on Io. The November 1999 observation spatially resolved, for the first time, an active extraterrestrial fissure eruption. The brightness temperature of the lavas at the November 1999 fissure eruption was 1300 K. The second observation (orbit I27, February 2000) showed a large (approx. 500 sq km) region with many, small spots of hot, active lava. The third observation was taken in conjunction with a Cassini observation in December 2000 and showed a Pele-like plume deposition ring, while the Cassini images revealed a 400 km high Pele-type plume above the Catena. The final Galileo SSI observation of Tvashtar was acquired in October 2001, and all obvious (to SSI) activity had ceased, although data from Galileo's Near Infrared Mapping Spectrometer (NIMS) indicated that there was still significant thermal emission from the Tvashtar region. We have concentrated on analyzing the style of eruption during orbit I27 (February 2000). Comparison with a lava flow cooling model indicates that the behavior of the Tvashtar eruption during I27 does not match that of "simple" advancing lava flows. Instead, it may be an active lava lake or a complex set of lava flows with episodic, overlapping (in time and space) eruptions.
Galileo battery testing and the impact of test automation
Pertuch, W. T.; Dils, C. T.
1985-01-01
Test complexity, changes of test specifications, and the demand for tight control of tests led to the development of automated testing used for Galileo and other projects. The use of standardized interfacing, i.e., IEEE-488, with desktop computers and test instruments, resulted in greater reliability, repeatability, and accuracy of both control and data reporting. Increased flexibility of test programming has reduced costs by permitting a wide spectrum of test requirements at one station rather than many stations.
Curbing "Math Anxiety" with Galileo While Teaching Physicists, too
Schwartz, Brian P.
2006-12-01
Carthage College's introductory physics course caters to both freshmen in our program and students in general education. While "Understandings of Physics" is a conceptual overview of our discipline, physical science is necessarily quantitative. Galileo's "Dialogue Concerning the Two New Sciences" provides us with a novel way to teach the fundamentals of motion both to students who "fear" mathematics, as well as those who are adept at solving algebraic equations.
"Life of Galileo" Théâtre de Carouge
2008-01-01
Special offer for CERN personnel CERN personnel and their spouses have until Tuesday, 18 March 2008 to buy tickets for « Vie de Galilée » ("Life of Galileo") at the Théâtre de Carouge at the special discount rate of 28 CHF (instead of 35 CHF). This play, by the German dramatist Bertolt Brecht, is directed by Manfred Karge and recounts the life of the father of modern physics in fifteen tableaux. The wily, impassioned teacher Galileo is about to substantiate Copernicus’ theory that the Earth is not a static object but revolves around the sun, a discovery that revolutionised mankind’s view of itself and the world. When hauled before the Inquisition, he recants. "Life of Galileo" is the first major dramatic work after the invention of the atom bomb to address the issues of freedom of thought and ethics in the context of scientific discoveries. Special performances on 3, 10, 15 and 22 April will be followed by organised debat...
Jovian atmospheric dynamics: an update after Galileo and Cassini
International Nuclear Information System (INIS)
Vasavada, Ashwin R; Showman, Adam P
2005-01-01
The Galileo and Cassini spacecrafts have greatly enhanced the observational record of Jupiter's tropospheric dynamics, particularly through returning high spatial resolution, multi-spectral and global imaging data with episodic coverage over periods of months to years. These data, along with those from Earth-based telescopes, have revealed the stability of Jupiter's zonal jets, captured the evolution of vortices and equatorial waves, and mapped the distributions of lightning and moist convection. Because no observations of Jupiter's interior exist, a forward modelling approach has been used to relate observations at cloud level to models of shallow or deep jet structure, shallow or deep jet forcing and energy transfer between turbulence, vortices and jets. A range of observed phenomena can be reproduced in shallow models, though the Galileo probe winds and jet stability arguments hint at the presence of deep jets. Many deep models, however, fail to reproduce Jupiter-like non-zonal features (e.g. vortices). Jupiter's dynamics likely include both deep and shallow processes, requiring an integrated approach to future modelling-an important goal for the post-Galileo and Cassini era
Santos-Silva, Antonio; Perger, Robert
2017-04-07
The Neotropical longhorned beetle tribe Hemilophini has been reviewed by Martins & Galileo (2014a, b) and currently contains 542 species (Monné 2017). Some of the most conspicuous longhorned beetle taxa are found in this tribe, for example species with a pair of cephalic horns (Phoebe Audinet-Serville, 1835), or others that strongly resemble to noxious Lycidae (Coleoptera) (e.g. Apeba Martins & Galileo, 1991, Calocosmus Chevrolat, 1862, or Lycidola Thomson, 1864) (see Lingafelter 2013; Martins & Galileo 2014a, b).
Vargas, José G
2014-01-01
This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of definitions, remarks, theorems, corollaries, lemmas, etc. but a narrative - almost like a story being told - that does not impede sophistication and deep results. It covers differential geometry far beyond what general relativists perceive they need to know. And it introduces readers to other areas
The ballet of the planets a mathematician's musings on the elegance of planetary motion
Benson, Donald
2012-01-01
The Ballet of the Planets unravels the beautiful mystery of planetary motion, revealing how our understanding of astronomy evolved from Archimedes and Ptolemy to Copernicus, Kepler, and Newton. Mathematician Donald Benson shows that ancient theories of planetary motion were based on the assumptions that the Earth was the center of the universe and the planets moved in a uniform circular motion. Since ancient astronomers noted that occasionally a planet would exhibit retrograde motion--would seem to reverse its direction and move briefly westward--they concluded that the planets moved in epicyc
Contributions to naive quantum mechanics. A textbook for mathematicians and physicists
International Nuclear Information System (INIS)
Kohlmann, Martin
2009-01-01
The present text examplifies by means of 60 citations from current textbooks for the study of physics the necessarity of a mathematically rigorous formulation of quantum mechanics. Well known statements of many physicists about quantum mechanics at their mathematical tool kit are commented in form of a dialogue und mathematical points of view. Supplemented are the representations by a selection of theorems of higher analysis relevant for quantum theory. The book applies to mathematicians and mathematically interested physicists or students with founded mathematical knowledge.
Teichmann, Jurgen
1999-01-01
Finds that interpretation of Galileo's only known experimental manuscript produces some interesting questions that offer pedagogical applications. Promotes classroom "research games" consisting of reconstructed experiments with Galileo's inclined plane and with other instruments to allow further speculation. (Author/WRM)
Survey of Galileo Plasma Observations in Jupiter's Plasma Sheet
Bagenal, Fran; Wilson, Robert J.; Siler, Scott; Paterson, William R.; Kurth, William S.
2016-01-01
The plasma science (PLS) Instrument on the Galileo spacecraft (orbiting Jupiter from December 1995 to September 2003) measured properties of the ions that were trapped in the magnetic field. The PLS data provide a survey of the plasma properties between approx. 5 and 30 Jupiter radii [R(sub J)] in the equatorial region. We present plasma properties derived via two analysis methods: numerical moments and forward modeling. We find that the density decreases with radial distance by nearly 5 orders of magnitude from approx. 2 to 3000 cm(exp.-3) at 6R(sub j) to approx. 0.05cm(sub -3) at 30 R(sub j). The density profile did not show major changes from orbit to orbit, suggesting that the plasma production and transport remained constant within about a factor of 2. The radial profile of ion temperature increased with distance which implied that contrary to the concept of adiabatic cooling on expansion, the plasma heats up as it expands out from Io's orbit (where TI is approx.60-80 eV) at approx. 6R(sub j) to a few keV at 30R(sub j).There does not seem to be a long-term, systematic variation in ion temperature with either local time or longitude. This latter finding differs from earlier analysis of Galileo PLS data from a selection of orbits. Further examination of all data from all Galileo orbits suggests that System Ill variations are transitory on timescales of weeks, consistent with the modeling of Cassini Ultraviolet Imaging Spectrograph observations. The plasma flow is dominated by azimuthal flow that is between 80% and 100% of corotation out to 25 R(sub j).
Galileo SSI Observations of Io During Orbits C30 I33
Keszthelyi, L.; Turtle, E.; McEwen, A.; Simonelli, D.; Geissler, P.; Williams, D.; Milazzo, M.; Radebaugh, J.; Jaeger, W.; Klaasen, K. P.
2002-01-01
New Galileo SSI imaging of Io from orbits C30 I33 will be presented. The aging Galileo spacecraft continues to produce spectacular new results, including the tallest volcanic plume yet found on Io. Additional information is contained in the original extended abstract.
Wiesner, Matthew P.
2015-01-01
Every introductory astronomy class encounters Galileo during the course as the first man to systematically study the sky with a telescope. Every Astronomy 101 student meets Galileo as one of the major catalysts behind the shift from the Ptolemaic to the Copernican system and as one of the great minds behind the scientific method. But most of the…
Great experiments in physics firsthand accounts from Galileo to Einstein
1959-01-01
From Galileo's famous experiments in accelerated motion to Einstein's revolutionary theory of relativity, the experiments recorded here trace the evolution of modern physics from its beginnings to the mid-20th century. Brought together for the first time in one volume are important source readings on 25 epochal discoveries that changed man's understanding of the physical world. The accounts, written by the physicists who made them, include:Issac Newton: The Laws of MotionHenry Cavendish: The Law of GravitationAugustin Fresnel: The Diffraction of LightHans Christian Oersted: ElecromagnetismH
Bruno, Galileo, Einstein: The Value of Myths in Physics
Martinez, Alberto
2015-03-01
Usually, historical myths are portrayed as something to be avoided in a physics classroom. Instead, I will discuss the positive function of myths and how they can be used to improve physics education. First, on the basis of historical research from primary sources and significant new findings about the Catholic Inquisition, I will discuss how to use the inspirational story of Giordano Bruno when discussing cosmology. Next, I will discuss the recurring story about Galileo and the Leaning Tower of Pisa. Finally, I will discuss how neglected stories about the young Albert Einstein can help to inspire students.
Diseño de un cabezal RF para Galileo
Gómez Mateo, José Ignacio
2009-01-01
El objetivo final de este Proyecto Fin de Carrera es la construcción de una antena impresa activa que funcione como receptora de la señal del sistema de posicionamiento Galileo. Debido a que la información útil en este sistema se ubica en dos bandas del espectro radioeléctrico separadas entre sí 300 MHz, el diseño de la antena (elementos radiantes y circuitería necesaria) tendrá como objetivo una respuesta en frecuencia en recepción ‘dual’. Esta característica tendrá una ...
Galileo spacecraft inertial sensors in-flight calibration design
Jahanshahi, M. H.; Lai, J. Y.
1983-01-01
The successful navigation of Galileo depends on accurate trajectory correction maneuvers (TCM's) performed during the mission. A set of Inertial Sensor (INS) units, comprised of gyros and accelerometers, mounted on the spacecraft, are utilized to control and monitor the performance of the TCM's. To provide the optimum performance, in-flight calibrations of INS are planned. These calibrations will take place on a regular basis. In this paper, a mathematical description is given of the data reduction technique used in analyzing a typical set of calibration data. The design of the calibration and the inertial sensor error models, necessary for the above analysis, are delineated in detail.
Galileo spacecraft solid-state imaging system view of Antarctica
1990-01-01
Galileo spacecraft solid-state imaging system view of Antarctica was taken during its first encounter with the Earth. This color picture of Antarctica is part of a mosaic of pictures covering the entire polar continent showing the Ross Ice Shelf and its border with the sea and mountains poking through the ice near the McMurdo Station. From top to bottom, the frame looks across about half of Antarctica. View provided by the Jet Propulsion Laboratory (JPL) with alternate number P-37297.
GIOVE-A: Two Years of Galileo Signals
Davies, P.; da Silva Curiel, A.; Rooney, E.; Sweeting, M.; Gattia, G.
2008-08-01
During 2007, the GIOVE-A mission has transitioned from an experimental mission into what is effectively an operational mission. The small satellite approach used in the development of the mission, and the lessons learned from this mission, are being applied in the development of SSTL's Geostationary communication satellite platform. Furthermore, ESA has also been considering the lessons learned from small low-cost, rapid-response missions such as GIOVE with a view to a new procurement approach for such "entry-level" missions. On 28 December 2005 the first satellite in the Galileo programme was launched into space. The satellite, GIOVE-A, was developed for the European Space Agency (ESA) under a contract signed in July 2003. Since January 2006 GIOVE-A has broadcast the Galileo signal enabling Europe to claim the ITU frequency filing, to qualify the Galileo payload equipment, to characterise the performance of the Galileo system and to develop ground receiving equipment. The satellite was built for a relatively low-cost, €28M, within a very rapid timescale - from contract signature to flight readiness in 28 months. In order to meet this timescale SSTL used a development approach similar to the one it uses for its range of microsatellites. Further, the GIOVE-A satellite carries many pieces of equipment from the microsatellite range integrated into a larger structure, and in-flight results with the COTS parts are now showing that these are holding up well in the harsh MEO environment. The development approach was very different from a typical ESA operational mission and formed one of the reference inputs to the "Lightsat" approach which ESA will employ on some of its future projects. The paper will cover the main results and lessons learned from the GIOVE-A mission. We will describe the small satellite approach to its development and the main lessons learned from the development phase. We will also cover the main results of the mission since launch concentrating on
Galileo's Religion Versus the Church's Science? Rethinking the History of Science and Religion
Wilson, D. B.
Galileo's conflict with the Catholic Church is well recognized as a key episode in the history of physics and in the history of science and religion. This paper applies a new, historiographical approach to that specific episode. It advocates eliminating the science and religion. The Church concluded that the plainest facts of human experience agreed perfectly with an omniscient God's revealed word to proclaim the earth at rest. Supported by the Bible, Galileo, God-like, linked the elegance of mathematics to truths about nature. The Church, in effect, resisted Galileo's claim to be able to think like God, instead listening to God himself - and paying close attention to what man himself observed. We can thus see that the phrase ``Galileo's religion versus the Church's science'' is as meaningful (or meaningless) as the usual designation ``Galileo's science versus the Church's religion.''
International Nuclear Information System (INIS)
Lima, F.R.A.; Kramer, R.; Khoury, H.J.; Santos, A.M.; Loureiro, E.C.M.
2005-01-01
The development of new and sophisticated Monte Carlo codes and tomographic human phantoms or voxels motivated the International Commission on Radiological Protection (ICRP) to revise the traditional models of exposure, which have been used to calculate effective dose coefficients for organs and tissues based on mathematician phantoms known as MIRD5. This paper shows the results of calculations using tomographic phantoms MAX (Male Adult voXel) and FAX (Female Adult voXel), recently developed by the authors as well as with the phantoms ADAM and EVA, of specific genres, type MIRD5, coupled to the EGS4 Monte Carlo and MCNP4C codes, for internal exposure with photons of energies between 10 keV and 4 MeV to several organs sources. Effective Doses for both models, tomographic and mathematician, will be compared separately as a function of the Monte Carlo code replacement, of compositions of human tissues and the anatomy reproduced through tomographs. The results indicate that for photon internal exposure, the use of models of exposure based in voxel, increases the values of effective doses up to 70% for some organs sources considered in this study, when compared with the corresponding results obtained with phantoms of MIRD-5 type
Bruno de Finetti: the mathematician, the statistician, the economist, the forerunner.
Rossi, C
2001-12-30
Bruno de Finetti is possibly the best known Italian applied mathematician of the 20th century, but was he really just a mathematician? Looking at his papers it is always possible to find original and pioneering contributions to the various fields he was interested in, where he always put his mathematical "formamentis" and skills at the service of the applications, often extending standard theories and models in order to achieve more general results. Many contributions are also devoted to educational issues, in mathematics in general and in probability and statistics in particular.He really thought that mathematics and, in particular, those topics related to uncertainty, should enter in everyday life as a useful support to everyone's decision making. He always imagined and lived mathematics as a basic tool both for better understanding and describing complex phenomena and for helping decision makers in assuming coherent and feasible actions. His many important contributions to the theory of probability and to mathematical statistics are well known all over the world, thus, in the following, minor, but still pioneering, aspects of his work, related both to theory and to applications of mathematical tools, and to his work in the field of education and training of teachers, are presented. Copyright 2001 John Wiley & Sons, Ltd.
Structural and sequence diversity of the transposon Galileo in the Drosophila willistoni genome.
Gonçalves, Juliana W; Valiati, Victor Hugo; Delprat, Alejandra; Valente, Vera L S; Ruiz, Alfredo
2014-09-13
Galileo is one of three members of the P superfamily of DNA transposons. It was originally discovered in Drosophila buzzatii, in which three segregating chromosomal inversions were shown to have been generated by ectopic recombination between Galileo copies. Subsequently, Galileo was identified in six of 12 sequenced Drosophila genomes, indicating its widespread distribution within this genus. Galileo is strikingly abundant in Drosophila willistoni, a neotropical species that is highly polymorphic for chromosomal inversions, suggesting a role for this transposon in the evolution of its genome. We carried out a detailed characterization of all Galileo copies present in the D. willistoni genome. A total of 191 copies, including 133 with two terminal inverted repeats (TIRs), were classified according to structure in six groups. The TIRs exhibited remarkable variation in their length and structure compared to the most complete copy. Three copies showed extended TIRs due to internal tandem repeats, the insertion of other transposable elements (TEs), or the incorporation of non-TIR sequences into the TIRs. Phylogenetic analyses of the transposase (TPase)-encoding and TIR segments yielded two divergent clades, which we termed Galileo subfamilies V and W. Target-site duplications (TSDs) in D. willistoni Galileo copies were 7- or 8-bp in length, with the consensus sequence GTATTAC. Analysis of the region around the TSDs revealed a target site motif (TSM) with a 15-bp palindrome that may give rise to a stem-loop secondary structure. There is a remarkable abundance and diversity of Galileo copies in the D. willistoni genome, although no functional copies were found. The TIRs in particular have a dynamic structure and extend in different ways, but their ends (required for transposition) are more conserved than the rest of the element. The D. willistoni genome harbors two Galileo subfamilies (V and W) that diverged ~9 million years ago and may have descended from an ancestral
Galileo: The Added Value for Integrity in Harsh Environments.
Borio, Daniele; Gioia, Ciro
2016-01-16
A global navigation satellite system (GNSS)-based navigation is a challenging task in a signal-degraded environments where GNSS signals are distorted by multipath and attenuated by fading effects: the navigation solution may be inaccurate or unavailable. A possible approach to improve accuracy and availability is the joint use of measurements from different GNSSs and quality check algorithms; this approach is investigated here using live GPS and Galileo signals. A modified receiver autonomous integrity monitoring (RAIM) algorithm, including geometry and separability checks, is proposed to detect and exclude erroneous measurements: the multi-constellation approach provides redundant measurements, and RAIM exploits them to exclude distorted observations. The synergy between combined GPS/Galileo navigation and RAIM is analyzed using live data; the performance is compared to the accuracy and availability of a GPS-only solution. The tests performed demonstrate that the methods developed are effective techniques for GNSS-based navigation in signal-degraded environments. The joint use of the multi-constellation approach and of modified RAIM algorithms improves the performance of the navigation system in terms of both accuracy and availability.
RTG performance on Galileo and Ulysses and Cassini test results
International Nuclear Information System (INIS)
Kelly, C. Edward; Klee, Paul M.
1997-01-01
Power output from telemetry for the two Galileo RTGs are shown from the 1989 launch to the recent Jupiter encounter. Comparisons of predicted, measured and required performance are shown. Similar comparisons are made for the RTG on the Ulysses spacecraft which completed its planned mission in 1995. Also presented are test results from small scale thermoelectric modules and full scale converters performed for the Cassini program. The Cassini mission to Saturn is scheduled for an October 1997 launch. Small scale module test results on thermoelectric couples from the qualification and flight production runs are shown. These tests have exceeded 19,000 hours are continuing to provide increased confidence in the predicted long term performance of the Cassini RTGs. Test results are presented for full scale units both ETGs (E-6, E-7) and RTGs (F-2, F-5) along with mission power predictions. F-5, fueled in 1985, served as a spare for the Galileo and Ulysses missions and plays the same role in the Cassini program. It has successfully completed all acceptance testing. The ten years storage between thermal vacuum tests is the longest ever experienced by an RTG. The data from this test are unique in providing the effects of long term low temperature storage on power output. All ETG and RTG test results to date indicate that the power requirements of the Cassini spacecraft will be met. BOM and EOM power margins of at least five percent are predicted
RTG performance on Galileo and Ulysses and Cassini test results
International Nuclear Information System (INIS)
Kelly, C.E.; Klee, P.M.
1997-01-01
Power output from telemetry for the two Galileo RTGs are shown from the 1989 launch to the recent Jupiter encounter. Comparisons of predicted, measured and required performance are shown. Similar comparisons are made for the RTG on the Ulysses spacecraft which completed its planned mission in 1995. Also presented are test results from small scale thermoelectric modules and full scale converters performed for the Cassini program. The Cassini mission to Saturn is scheduled for an October 1997 launch. Small scale module test results on thermoelectric couples from the qualification and flight production runs are shown. These tests have exceeded 19,000 hours are continuing to provide increased confidence in the predicted long term performance of the Cassini RTGs. Test results are presented for full scale units both ETGs (E-6, E-7) and RTGs (F-2, F-5) along with mission power predictions. F-5, fueled in 1985, served as a spare for the Galileo and Ulysses missions and plays the same role in the Cassini program. It has successfully completed all acceptance testing. The ten years storage between thermal vacuum tests is the longest ever experienced by an RTG. The data from this test are unique in providing the effects of long term low temperature storage on power output. All ETG and RTG test results to date indicate that the power requirements of the Cassini spacecraft will be met. BOM and EOM power margins of at least five percent are predicted. copyright 1997 American Institute of Physics
On systems having Poincaré and Galileo symmetry
International Nuclear Information System (INIS)
Holland, Peter
2014-01-01
Using the wave equation in d≥1 space dimensions it is illustrated how dynamical equations may be simultaneously Poincaré and Galileo covariant with respect to different sets of independent variables. This provides a method to obtain dynamics-dependent representations of the kinematical symmetries. When the field is a displacement function both symmetries have a physical interpretation. For d=1 the Lorentz structure is utilized to reveal hitherto unnoticed features of the non-relativistic Chaplygin gas including a relativistic structure with a limiting case that exhibits the Carroll group, and field-dependent symmetries and associated Noether charges. The Lorentz transformations of the potentials naturally associated with the Chaplygin system are given. These results prompt the search for further symmetries and it is shown that the Chaplygin equations support a nonlinear superposition principle. A known spacetime mixing symmetry is shown to decompose into label-time and superposition symmetries. It is shown that a quantum mechanical system in a stationary state behaves as a Chaplygin gas. The extension to d>1 is used to illustrate how the physical significance of the dual symmetries is contingent on the context by showing that Maxwell’s equations exhibit an exact Galileo covariant formulation where Lorentz and gauge transformations are represented by field-dependent symmetries. A natural conceptual and formal framework is provided by the Lagrangian and Eulerian pictures of continuum mechanics
DMD-based multi-object spectrograph on Galileo telescope
Zamkotsian, Frederic; Spano, Paolo; Lanzoni, Patrick; Bon, William; Riva, Marco; Nicastro, Luciano; Molinari, Emilio; Di Marcantonio, Paolo; Zerbi, Filippo; Valenziano, Luca
2013-03-01
Next-generation infrared astronomical instrumentation for ground-based and space telescopes could be based on MOEMS programmable slit masks for multi-object spectroscopy (MOS). This astronomical technique is used extensively to investigate the formation and evolution of galaxies. We propose to develop a 2048x1080 DMD-based MOS instrument to be mounted on the Galileo telescope and called BATMAN. A two-arm instrument has been designed for providing in parallel imaging and spectroscopic capabilities. The two arms with F/4 on the DMD are mounted on a common bench, and an upper bench supports the detectors thanks to two independent hexapods. Very good optical quality on the DMD and the detectors will be reached. ROBIN, a BATMAN demonstrator, has been designed, realized and integrated. It permits to determine the instrument integration procedure, including optics and mechanics integration, alignment procedure and optical quality. First images have been obtained and measured. A DMD pattern manager has been developed in order to generate any slit mask according to the list of objects to be observed; spectra have been generated and measured. Observation strategies will be studied and demonstrated for the scientific optimization strategy over the whole FOV. BATMAN on the sky is of prime importance for characterizing the actual performance of this new family of MOS instruments, as well as investigating the operational procedures on astronomical objects. This instrument will be placed on the Telescopio Nazionale Galileo at the beginning of next year, in 2014.
Galileo: The Added Value for Integrity in Harsh Environments
Directory of Open Access Journals (Sweden)
Daniele Borio
2016-01-01
Full Text Available A global navigation satellite system (GNSS-based navigation is a challenging task in a signal-degraded environments where GNSS signals are distorted by multipath and attenuated by fading effects: the navigation solution may be inaccurate or unavailable. A possible approach to improve accuracy and availability is the joint use of measurements from different GNSSs and quality check algorithms; this approach is investigated here using live GPS and Galileo signals. A modified receiver autonomous integrity monitoring (RAIM algorithm, including geometry and separability checks, is proposed to detect and exclude erroneous measurements: the multi-constellation approach provides redundant measurements, and RAIM exploits them to exclude distorted observations. The synergy between combined GPS/Galileo navigation and RAIM is analyzed using live data; the performance is compared to the accuracy and availability of a GPS-only solution. The tests performed demonstrate that the methods developed are effective techniques for GNSS-based navigation in signal-degraded environments. The joint use of the multi-constellation approach and of modified RAIM algorithms improves the performance of the navigation system in terms of both accuracy and availability.
International Nuclear Information System (INIS)
Schmid, K.W.
2001-01-01
The mathematical tools to restore Galilei invariance in the nuclear many-body problem with the help of projection techniques are presented. For simple oscillator configurations recursion relations for the various elementary contractions are derived. The method is then applied to simple configurations for the ground states of 4 He, 16 O and 40 Ca as well as to the corresponding one-hole and one-particle states. As a first application the spectral functions and spectroscopic factors for the above-mentioned doubly even nuclei are investigated. It turns out that the conventional picture of an uncorrelated system underestimates the single-particle strengths of the hole states from the last occupied shell while that of the higher excited hole states is overestimated considerably. These results are in complete agreement with those derived by Dieperink and de Forest using different methods. Similar effects are seen for the particle states which have not been studied before. All the calculations presented here are performed analytically and thus can be checked explicitly by the interested reader. (orig.)
Experimenting Galileo on Board the International Space Station
Fantinato, Samuele; Pozzobon, Oscar; Sands, Obed S.; Welch, Bryan W.; Clapper, Carolyn J.; Miller, James J.; Gamba, Giovanni; Chiara, Andrea; Montagner, Stefano; Giordano, Pietro;
2016-01-01
The SCaN Testbed is an advanced integrated communications system and laboratory facility installed on the International Space Station (ISS) in 2012. The testbed incorporates a set of new generation of Software Defined Radio (SDR) technologies intended to allow researchers to develop, test, and demonstrate new communications, networking, and navigation capabilities in the actual environment of space. Qascom, in cooperation with ESA and NASA, is designing a Software Defined Radio GalileoGPS Receiver capable to provide accurate positioning and timing to be installed on the ISS SCaN Testbed. The GalileoGPS waveform will be operated in the JPL SDR that is constituted by several hardware components that can be used for experimentations in L-Band and S-Band. The JPL SDR includes an L-Band Dorne Margolin antenna mounted onto a choke ring. The antenna is connected to a radio front end capable to provide one bit samples for the three GNSS frequencies (L1, L2 and L5) at 38 MHz, exploiting the subharmonic sampling. The baseband processing is then performed by an ATMEL AT697 processor (100 MIPS) and two Virtex 2 FPGAs. The JPL SDR supports the STRS (Space Telecommunications Radio System) that provides common waveform software interfaces, methods of instantiation, operation, and testing among different compliant hardware and software products. The standard foresees the development of applications that are modular, portable, reconfigurable, and reusable. The developed waveform uses the STRS infrastructure-provided application program interfaces (APIs) and services to load, verify, execute, change parameters, terminate, or unload an application. The project is divided in three main phases. 1)Design and Development of the GalileoGPS waveform for the SCaN Testbed starting from Qascom existing GNSS SDR receiver. The baseline design is limited to the implementation of the single frequency Galileo and GPS L1E1 receiver even if as part of the activity it will be to assess the
Performance Analysis of Several GPS/Galileo Precise Point Positioning Models.
Afifi, Akram; El-Rabbany, Ahmed
2015-06-19
This paper examines the performance of several precise point positioning (PPP) models, which combine dual-frequency GPS/Galileo observations in the un-differenced and between-satellite single-difference (BSSD) modes. These include the traditional un-differenced model, the decoupled clock model, the semi-decoupled clock model, and the between-satellite single-difference model. We take advantage of the IGS-MGEX network products to correct for the satellite differential code biases and the orbital and satellite clock errors. Natural Resources Canada's GPSPace PPP software is modified to handle the various GPS/Galileo PPP models. A total of six data sets of GPS and Galileo observations at six IGS stations are processed to examine the performance of the various PPP models. It is shown that the traditional un-differenced GPS/Galileo PPP model, the GPS decoupled clock model, and the semi-decoupled clock GPS/Galileo PPP model improve the convergence time by about 25% in comparison with the un-differenced GPS-only model. In addition, the semi-decoupled GPS/Galileo PPP model improves the solution precision by about 25% compared to the traditional un-differenced GPS/Galileo PPP model. Moreover, the BSSD GPS/Galileo PPP model improves the solution convergence time by about 50%, in comparison with the un-differenced GPS PPP model, regardless of the type of BSSD combination used. As well, the BSSD model improves the precision of the estimated parameters by about 50% and 25% when the loose and the tight combinations are used, respectively, in comparison with the un-differenced GPS-only model. Comparable results are obtained through the tight combination when either a GPS or a Galileo satellite is selected as a reference.
Energy Technology Data Exchange (ETDEWEB)
Sharlin, H.I.
1992-09-01
The Emeritus Scientists, Mathematicians and Engineers (ESME) program matches retired scientists and engineers with wide experience with elementary school children in order to fuel the children`s natural curiosity about the world in which they live. The long-range goal is to encourage students to maintain the high level of mathematical and science capability that they exhibit at an early age by introducing them to the fun and excitement of the world of scientific investigation and engineering problem solving. Components of the ESME program are the emeriti, established teacher-emeriti teams that work to produce a unit of 6 class hours of demonstration or hands-on experiments, and the encounter by students with the world of science/engineering through the classroom sessions and a field trip to a nearby plant or laboratory.
How to think like a mathematician a companion to undergraduate mathematics
Houston, Kevin
2009-01-01
Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.
Gessner, Samuel
2015-01-01
The aim of this paper is to examine the iconography on a set of star charts by Albrecht Dürer (1515), and celestial globes by Caspar Vopel (1536) and Christoph Schissler (1575). The iconography on these instruments is conditioned by strong traditions which include not only the imagery on globes and planispheres (star charts), but also ancient literature about the constellations. Where this iconography departs from those traditions, the change had to do with humanism in the sixteenth century. This "humanistic" dimension is interwoven with other concerns that involve both "social" and "technical" motivations. The interplay of these three dimensions illustrates how the iconography on celestial charts and globes expresses some features of the shared knowledge and shared culture between artisans, mathematicians, and nobles in Renaissance Europe.
The mathematician's mind the psychology of invention in the mathematical field
Hadamard, Jacques
1996-01-01
Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book, originally titled The Psychology of Invention in the Mathematical Field, remains an important tool for exploring the increasingly complex problem of mental life. The roots of creativity for Hadamard lie not in consciousness, but in the long unconscious work of incubation, and in the unconscious aesthetic selection of ide...
Numbers and functions from a classical-experimental mathematician's point of view
Moll, Victor H
2012-01-01
New mathematics often comes about by probing what is already known. Mathematicians will change the parameters in a familiar calculation or explore the essential ingredients of a classic proof. Almost magically, new ideas emerge from this process. This book examines elementary functions, such as those encountered in calculus courses, from this point of view of experimental mathematics. The focus is on exploring the connections between these functions and topics in number theory and combinatorics. There is also an emphasis throughout the book on how current mathematical software can be used to discover and prove interesting properties of these functions. The book provides a transition between elementary mathematics and more advanced topics, trying to make this transition as smooth as possible. Many topics occur in the book, but they are all part of a bigger picture of mathematics. By delving into a variety of them, the reader will develop this broad view. The large collection of problems is an essential part of...
Bleiler, Sarah K.
2015-01-01
Collaborations between mathematicians and mathematics teacher educators are increasingly being expected, and realized, within the context of mathematics teacher education. Most research related to collaborative efforts between members of the mathematics and mathematics education communities has focused on the products, rather than the process of…
The Academic and the Everyday in Mathematicians' Talk: The Case of the Hyper-Bagel
Barwell, Richard
2013-01-01
Mathematics curricula increasingly emphasise the importance of mathematical communication. Students are seen as progressing from the use of a more informal or everyday form of communication to a more mathematical approach. There have, however, been very few studies of how mathematicians actually talk about mathematics. This paper reports analysis…
Weber, Keith
2013-01-01
This paper presents the results of an experiment in which mathematicians were asked to rate how persuasive they found two empirical arguments. There were three key results from this study: (a) Participants judged an empirical argument as more persuasive if it verified that integers possessed an infrequent property than if it verified that integers…
System Engineering Infrastructure Evolution Galileo IOV and the Steps Beyond
Eickhoff, J.; Herpel, H.-J.; Steinle, T.; Birn, R.; Steiner, W.-D.; Eisenmann, H.; Ludwig, T.
2009-05-01
The trends to more and more constrained financial budgets in satellite engineering require a permanent optimization of the S/C system engineering processes and infrastructure. Astrium in the recent years already has built up a system simulation infrastructure - the "Model-based Development & Verification Environment" - which meanwhile is well known all over Europe and is established as Astrium's standard approach for ESA, DLR projects and now even the EU/ESA-Project Galileo IOV. The key feature of the MDVE / FVE approach is to provide entire S/C simulation (with full featured OBC simulation) already in early phases to start OBSW code tests on a simulated S/C and to later add hardware in the loop step by step up to an entire "Engineering Functional Model (EFM)" or "FlatSat". The subsequent enhancements to this simulator infrastructure w.r.t. spacecraft design data handling are reported in the following sections.
On the quantum analogue of Galileo's leaning tower experiment
International Nuclear Information System (INIS)
Ali, Md Manirul; Majumdar, A S; Home, Dipankar; Pan, Alok Kumar
2006-01-01
The quantum analogue of Galileo's leaning tower experiment is revisited using wave packets evolving under the gravitational potential. We first calculate the position detection probabilities for particles projected upwards against gravity around the classical turning point and also around the point of initial projection, which exhibit mass dependence at both these points. We then compute the mean arrival time of freely falling particles using the quantum probability current, which also turns out to be mass dependent. The mass dependence of both the position detection probabilities and the mean arrival time vanish in the limit of large mass. Thus, compatibility between the weak equivalence principle and quantum mechanics is recovered in the macroscopic limit of the latter
Galileo's first images of Jupiter and the Galilean satellites
Belton, M.J.S.; Head, J. W.; Ingersoll, A.P.; Greeley, R.; McEwen, A.S.; Klaasen, K.P.; Senske, D.; Pappalardo, R.; Collins, G.; Vasavada, A.R.; Sullivan, R.; Simonelli, D.; Geissler, P.; Carr, M.H.; Davies, M.E.; Veverka, J.; Gierasch, P.J.; Banfield, D.; Bell, M.; Chapman, C.R.; Anger, C.; Greenberg, R.; Neukum, G.; Pilcher, C.B.; Beebe, R.F.; Burns, J.A.; Fanale, F.; Ip, W.; Johnson, T.V.; Morrison, D.; Moore, J.; Orton, G.S.; Thomas, P.; West, R.A.
1996-01-01
The first images of Jupiter, Io, Europa, and Ganymede from the Galileo spacecraft reveal new information about Jupiter's Great Red Spot (GRS) and the surfaces of the Galilean satellites. Features similar to clusters of thunderstorms were found in the GRS. Nearby wave structures suggest that the GRS may be a shallow atmospheric feature. Changes in surface color and plume distribution indicate differences in resurfacing processes near hot spots on lo. Patchy emissions were seen while Io was in eclipse by Jupiter. The outer margins of prominent linear markings (triple bands) on Europa are diffuse, suggesting that material has been vented from fractures. Numerous small circular craters indicate localized areas of relatively old surface. Pervasive brittle deformation of an ice layer appears to have formed grooves on Ganymede. Dark terrain unexpectedly shows distinctive albedo variations to the limit of resolution.
Active Volcanism on Io as Seen by Galileo SSI
McEwen, A.S.; Keszthelyi, L.; Geissler, P.; Simonelli, D.P.; Carr, M.H.; Johnson, T.V.; Klaasen, K.P.; Breneman, H.H.; Jones, T.J.; Kaufman, J.M.; Magee, K.P.; Senske, D.A.; Belton, M.J.S.; Schubert, G.
1998-01-01
Active volcanism on Io has been monitored during the nominal Galileo satellite tour from mid 1996 through late 1997. The Solid State Imaging (SSI) experiment was able to observe many manifestations of this active volcanism, including (1) changes in the color and albedo of the surface, (2) active airborne plumes, and (3) glowing vents seen in eclipse. About 30 large-scale (tens of kilometers) surface changes are obvious from comparison of the SSI images to those acquired by Voyager in 1979. These include new pyroclastic deposits of several colors, bright and dark flows, and caldera-floor materials. There have also been significant surface changes on Io during the Galileo mission itself, such as a new 400-km-diameter dark pyroclastic deposit around Pillan Patera. While these surface changes are impressive, the number of large-scale changes observed in the four months between the Voyager 1 and Voyager 2 flybys in 1979 suggested that over 17 years the cumulative changes would have been much more impressive. There are two reasons why this was not actually the case. First, it appears that the most widespread plume deposits are ephemeral and seem to disappear within a few years. Second, it appears that a large fraction of the volcanic activity is confined to repeated resurfacing of dark calderas and flow fields that cover only a few percent of Io's surface. The plume monitoring has revealed 10 active plumes, comparable to the 9 plumes observed by Voyager. One of these plumes was visible only in the first orbit and three became active in the later orbits. Only the Prometheus plume has been consistently active and easy to detect. Observations of the Pele plume have been particularly intriguing since it was detected only once by SSI, despite repeated attempts, but has been detected several times by the Hubble Space Telescope at 255 nm. Pele's plume is much taller (460 km) than during Voyager 1 (300 km) and much fainter at visible wavelengths. Prometheus-type plumes (50
Galileo encounter with 951 Gaspra: First pictures of an asteroid
Belton, M.J.S.; Veverka, J.; Thomas, P.; Helfenstein, P.; Simonelli, D.; Chapman, C.; Davies, M.E.; Greeley, R.; Greenberg, R.; Head, J.; Murchie, S.; Klaasen, K.; Johnson, T.V.; McEwen, A.; Morrison, D.; Neukum, G.; Fanale, F.; Anger, C.; Carr, M.; Pilcher, C.
1992-01-01
Galileo images of Gaspra reveal it to be an irregularly shaped object (19 by 12 by 11 kilometers) that appears to have been created by a catastrophic collisional disruption of a precursor parent body. The cratering age of the surface is about 200 million years. Subtle albedo and color variations appear to correlate with morphological features: Brighter materials are associated with craters especially along the crests of ridges, have a stronger 1-micrometer absorption, and may represent freshly excavated mafic materials; darker materials exhibiting a significantly weaker 1-micrometer absorption appear concentrated in interridge areas. One explanation of these patterns is that Gaspra is covered with a thin regolith and that some of this material has migrated downslope in some areas.
Axiomatics of Galileo-invariant quantum field theory
International Nuclear Information System (INIS)
Dadashev, L.A.
1986-01-01
The aim of this paper is to construct the axiomatics of Galileo-invariant quantum field theory. The importance of this problem is demonstrated from various points of view: general properties that the fields and observables must satisfy are considered; S-matrix nontriviality of one such model is proved; and the differences from the relativistic case are discussed. The proposed system of axioms is in many respects analogous to Wightman axiomatics, but is less general. The main result is contained in theorems which describe the admissible set of initial fields and total Hamiltonians, i.e., precisely the two entities that completely determine interacting fields. The author considers fields that prove the independence of some axioms
Monte Carlo simulations of the Galileo energetic particle detector
International Nuclear Information System (INIS)
Jun, I.; Ratliff, J.M.; Garrett, H.B.; McEntire, R.W.
2002-01-01
Monte Carlo radiation transport studies have been performed for the Galileo spacecraft energetic particle detector (EPD) in order to study its response to energetic electrons and protons. Three-dimensional Monte Carlo radiation transport codes, MCNP version 4B (for electrons) and MCNPX version 2.2.3 (for protons), were used throughout the study. The results are presented in the form of 'geometric factors' for the high-energy channels studied in this paper: B1, DC2, and DC3 for electrons and B0, DC0, and DC1 for protons. The geometric factor is the energy-dependent detector response function that relates the incident particle fluxes to instrument count rates. The trend of actual data measured by the EPD was successfully reproduced using the geometric factors obtained in this study
Monte Carlo simulations of the Galileo energetic particle detector
Jun, I; Garrett, H B; McEntire, R W
2002-01-01
Monte Carlo radiation transport studies have been performed for the Galileo spacecraft energetic particle detector (EPD) in order to study its response to energetic electrons and protons. Three-dimensional Monte Carlo radiation transport codes, MCNP version 4B (for electrons) and MCNPX version 2.2.3 (for protons), were used throughout the study. The results are presented in the form of 'geometric factors' for the high-energy channels studied in this paper: B1, DC2, and DC3 for electrons and B0, DC0, and DC1 for protons. The geometric factor is the energy-dependent detector response function that relates the incident particle fluxes to instrument count rates. The trend of actual data measured by the EPD was successfully reproduced using the geometric factors obtained in this study.
Il dito di Galileo le dieci grandi idee della scienza
Atkins, Peter
2004-01-01
Domande e risposte per dieci idee che hanno plasmato il mondo di oggi. Possiamo rintracciare l'origine e il divenire del cosmo? Perché spazio e tempo formano una cosa sola? Che cosa significa l'evoluzione del vivente? Perché il DNA è così importante? Perché il mondo ha bisogno di energia? E com'è che l'aumento dell'entropia scandisce il cambiamento dell'intero universo? Cosa sono gli atomi e cosa c'è di più piccolo di essi? Perché la simmetria della natura e dell'arte cattura il nostro senso della bellezza? Cosa sono quegli elusivi quanti alla base della fisica contemporanea? Siamo sicuri che l'aritmetica non ci inganni? Peter Atkins offre una guida chiara e completa all'impresa scientifica, seguendo la via indicata dal dito di Galileo.
Status of the Galileo interim radiation electron model
Garrett, H. B.; Jun, I.; Ratliff, J. M.; Evans, R. W.; Clough, G. A.; McEntire, R. W.
2003-04-01
Measurements of the high energy, omni-directional electron environment by the Galileo spacecraft Energetic Particle Detector (EPD) were used to develop a new model of Jupiter's trapped electron radiation in the jovian equatorial plane for the range 8 to 16 Jupiter radii (1 jovian radius = 71,400 km). 10-minute averages of these data formed an extensive database of observations of the jovian radiation belts between Jupiter orbit insertion (JOI) in 1995 and 2002. These data were then averaged to provide a differential flux spectrum at 0.174, 0.304, 0.527, 1.5, 2.0, 11.0, and 31 MeV in the jovian equatorial plane as a function of radial distance. This omni-directional, equatorial model was combined with the original Divine model of jovian electron radiation to yield estimates of the out-of-plane radiation environment. That model, referred to here as the Galileo Interim Radiation Electron (or GIRE) model, was then used to calculate the Europa mission dose for an average and a 1-sigma worst-case situation. The prediction of the GIRE model is about a factor of 2 lower than the Divine model estimate over the range of 100 to 1000 mils (2.54 to 25.4 mm) of aluminum shielding, but exceeds the Divine model by about 50% for thicker shielding. The model, the steps leading to its creation, and relevant issues and concerns are discussed. While work remains to be done, the GIRE model clearly represents a significant step forward in the study of the jovian radiation environment, and it is a useful and valuable tool for estimating that environment for future space missions.
GEO-6 project for Galileo data scientific utilization
Buresova, Dalia; Lastovicka, Jan; Boska, Josef; Sauli, Petra; Kouba, Daniel; Mosna, Zbysek
The future GNSS Galileo system offer a number of benefits (e.g. availability of better accuracy positioning, new frequencies bands allowing the implementation of specific techniques, provable time-stamp and location data using SIS authorisation, integrity, better support ad-hoc algorithms for data analysis and other service guarantee for liability and regulated applications) are widely spread among different disciplines. Also applications which are less interesting from the commercial and market point of view could successfully contribute to the numerous social benefits and support the innovation in the international research. The aim of the GEO-6 project "Scientific research Using GNSS" is to propose and broaden scientific utilization of future GNSS Galileo system data in research. It is a joint project of seven institutions from six countries led by the Atos Origin Company from Spain. The core of the project consists from six projects in five priority areas: PA-1 Remote sensing of the ocean using GNSS reflections, PA-2a Investigating GNSS ionospheric data assimilation, PA-2b 3-D gravity wave detection and determination (both PA-2a and PA-2b are ionospheric topics), PA-3 Demonstration of capability for operational forecasting of atmospheric delays, PA-4 GNSS seismometer, PA-5 Spacecraft formation flying using global navigation satellite systems. Institute of Atmospheric Physics, Prague, Czech Republic is responsible for the project PA-2b, where we developed and tested (to the extent allowed by available data) an algorithm and computer code for the 3-D detection of gravity waves and determination of their characteristics. The main drivers of the GEO-6 project are: high levels of accuracy even with the support of local elements, sharing of solutions and results for the worldwide scientific community. The paper will present basic description of the project with more details concerning Czech participation in it.
New Topographic Maps of Io Using Voyager and Galileo Stereo Imaging and Photoclinometry
White, O. L.; Schenk, P. M.; Hoogenboom, T.
2012-03-01
Stereo and photoclinometry processing have been applied to Voyager and Galileo images of Io in order to derive regional- and local-scale topographic maps of 20% of the moon’s surface to date. We present initial mapping results.
GALILEO ORBITER A POS IDA FLYBY TRAJ V1.0
National Aeronautics and Space Administration — Galileo Orbiter 60 second sampled trajectory data from the Ida flyby in Ida-centric Solar Ecliptic (ISE) and RTN coordinates. These data cover the interval...
GALILEO ORBITER EARTH POS EARTH2 FLYBY TRAJ V1.0
National Aeronautics and Space Administration — Galileo Orbiter 60 second sampled trajectory data from the Earth-2 flyby in GSE and GSM coordinates. These data cover the interval 1992-11-03 to 1992-12-20.
GALILEO ORBITER EARTH POS EARTH1 FLYBY TRAJ V1.0
National Aeronautics and Space Administration — Galileo Orbiter 60 second sampled trajectory data from the Earth-1 flyby in GSE and GSM coordinates. These data cover the interval 1990-11-05 to 1990-12-31.
GALILEO ORBITER A POS GASPRA FLYBY TRAJ V1.0
National Aeronautics and Space Administration — Galileo Orbiter 60 second sampled trajectory data from the Gaspra flyby in Gaspra-centric Solar Ecliptic (GaSE) and RTN coordinates. These data cover the interval...
Euroliidu Galileo süsteem astub kandadele USA GPS-ile / Heiki Suurkask
Suurkask, Heiki, 1972-
2005-01-01
Euroopa Liidu uue navigatsioonisüsteemi Galileo esimene satelliit saadeti eile kosmosesse. Satelliit GIOVE-A kujutab endast esimest ülekandemajakat, millega saab hakata looma kuni 30 satelliidist koosnevat globaalset navigatsioonivõrgustikku
Galileo-satelliittipaikannusjärjestelmä ja sen mahdollisuudet yrityksen näkökulmasta
Vaarakallio, Joonas
2010-01-01
Euroopan komissio ja Euroopan avaruusjärjestö toteuttavat Galileo-hanketta uuden eurooppalaisen satelliittipaikannusjärjestelmän rakentamiseksi. Galileo-satelliittipaikannusjärjestelmän on tarkoitus olla tarkempi ja tarjota kattavampia palveluita kuin aikaisemmat järjestelmät. Se tulee olemaan vaihtoehto sekä täydennys olemassa oleville GPS- ja GLONASS-satelliittipaikannusjärjestelmille. Galileossa perustason signaalintarkkuus on kaikkien saatavilla ja tarkempi signaali on rajoitettu maksulli...
Surface changes on Io during the Galileo mission
Geissler, P.; McEwen, A.; Phillips, C.; Keszthelyi, L.; Spencer, J.
2004-01-01
A careful survey of Galileo SSI global monitoring images revealed more than 80 apparent surface changes that took place on Io during the 5 year period of observation, ranging from giant plume deposits to subtle changes in the color or albedo of Patera surfaces. Explosive volcanic activity was discovered at four previously unrecognized centers: an unnamed patera to the south of Karei that produced a Pele-sized red ring, a patera to the west of Zal that produced a small circular bright deposit, a large orange ring detected near the north pole of Io, and a small bright ring near Io's south pole. Only a handful of Io's many active volcanoes produced large scale explosive eruptions, and several of these erupted repeatedly, leaving at least 83% of Io's surface unaltered throughout the Galileo mission. Most of the hot spots detected from SSI, NIMS and ground-based thermal observations caused no noticeable surface changes greater than 10 km in extent over the five year period. Surface changes were found at every location where active plumes were identified, including Acala which was never seen in sunlight and was only detected through auroral emissions during eclipse. Two types of plumes are distinguished on the basis of the size and color of their deposits, confirming post-Voyager suggestions by McEwen and Soderblom [Icarus 55 (1983) 191]. Smaller plumes produce near-circular rings typically 150-200 km in radius that are white or yellow in color unless contaminated with silicates, and frequently coat their surroundings with frosts of fine-grained SO2. The larger plumes are much less numerous, limited to a half dozen examples, and produce oval, orange or red, sulfur-rich rings with maximum radii in the north-south direction that are typically in the range from 500 to 550 km. Both types of plumes can be either episodic or quasi-continuous over a five year period. Repeated eruptions of the smaller SO2-rich plumes likely contribute significantly to Io's resurfacing rate
Harmonies of disorder Norbert Wiener : a mathematician-philosopher of our time
Montagnini, Leone
2017-01-01
This book presents the entire body of thought of Norbert Wiener (1894–1964), knowledge of which is essential if one wishes to understand and correctly interpret the age in which we live. The focus is in particular on the philosophical and sociological aspects of Wiener’s thought, but these aspects are carefully framed within the context of his scientific journey. Important biographical events, including some that were previously unknown, are also highlighted, but while the book has a biographical structure, it is not only a biography. The book is divided into four chronological sections, the first two of which explore Wiener’s development as a philosopher and logician and his brilliant interwar career as a mathematician, supported by his philosophical background. The third section considers his research during World War II, which drew upon his previous scientific work and reflections and led to the birth of cybernetics. Finally, the radical post-war shift in Wiener’s intellectual path is considered, e...
Gregory Bateson and the mathematicians: from interdisciplinary interaction to societal functions.
Heims, S P
1977-04-01
An instance of fruitful cross-disciplinary contacts is examined in detail. The ideas involved include (1) the double-blind hypothesis for schizophrenia, (2) the critique of game theory from the viewpoint of anthropology and psychiatry, and (3) the application of concepts of communication theory and theory of logical types to an interpretation of psychoanalytic practice. The protagonists of the interchange are Gregory Bateson and the two mathematicians Norbert Wiener and John von Neumann; the date, March 1946. This interchange and its sequels are described. While the interchanges between Bateson and Wiener were fruitful, those between Bateson and von Neumann were much less so. The latter two held conflicting premises concerning what is significant in science; Bateson's and Wiener's were compatible. In 1946, Wiener suggested that information and communication might be appropriate central concepts for psychoanalytic theory--a vague general idea which Bateson (with Ruesch) related to contemporary clinical practice. For Bateson, Wiener, and von Neumann, the cross-disciplinary interactions foreshadowed a shift in activities and new roles in society, to which the post World War II period was conducive. Von Neumann became a high-level government advisor; Wiener, an interpreter of science and technology for the general public; and Bateson a counter-culture figure.
Yeast for Mathematicians: A Ferment of Discovery and Model Competition to Describe Data.
Lewis, Matthew; Powell, James
2017-02-01
In addition to the memorization, algorithmic skills and vocabulary which are the default focus in many mathematics classrooms, professional mathematicians are expected to creatively apply known techniques, construct new mathematical approaches and communicate with and about mathematics. We propose that students can learn these professional, higher-level skills through Laboratory Experiences in Mathematical Biology which put students in the role of mathematics researcher creating mathematics to describe and understand biological data. Here we introduce a laboratory experience centered on yeast (Saccharomyces cerevisiae) growing in a small capped flask with a jar to collect carbon dioxide created during yeast growth and respiration. The lab requires no specialized equipment and can easily be run in the context of a college math class. Students collect data and develop mathematical models to explain the data. To help place instructors in the role of mentor/collaborator (as opposed to jury/judge), we facilitate the lab using model competition judged via Bayesian Information Criterion. This article includes details about the class activity conducted, student examples and pedagogical strategies for success.
Quantum field theory III. Gauge theory. A bridge between mathematicians and physicists
International Nuclear Information System (INIS)
Zeidler, Eberhard
2011-01-01
In this third volume of his modern introduction to quantum field theory, Eberhard Zeidler examines the mathematical and physical aspects of gauge theory as a principle tool for describing the four fundamental forces which act in the universe: gravitative, electromagnetic, weak interaction and strong interaction. Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure. The book is arranged in four sections, devoted to realizing the universal principle force equals curvature: Part I: The Euclidean Manifold as a Paradigm Part II: Ariadne's Thread in Gauge Theory Part III: Einstein's Theory of Special Relativity Part IV: Ariadne's Thread in Cohomology For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typical physics curriculum. Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos). (orig.)
Quantum field theory III. Gauge theory. A bridge between mathematicians and physicists
Energy Technology Data Exchange (ETDEWEB)
Zeidler, Eberhard [Max Planck Institute for Mathematics in the Sciences, Leipzig (Germany)
2011-07-01
In this third volume of his modern introduction to quantum field theory, Eberhard Zeidler examines the mathematical and physical aspects of gauge theory as a principle tool for describing the four fundamental forces which act in the universe: gravitative, electromagnetic, weak interaction and strong interaction. Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure. The book is arranged in four sections, devoted to realizing the universal principle force equals curvature: Part I: The Euclidean Manifold as a Paradigm Part II: Ariadne's Thread in Gauge Theory Part III: Einstein's Theory of Special Relativity Part IV: Ariadne's Thread in Cohomology For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typical physics curriculum. Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos). (orig.)
A Mathematician Hussein Ryfky Tamani ibn Muhammad ibn Kyrym Ghazi »
Directory of Open Access Journals (Sweden)
M.A. Useinov
2015-09-01
Full Text Available In this article an attempt is made to open up and make the analysis of the creative work of one of the outstanding scholar-mathematician in the Ottoman Empire at the end of the 18th – beginning of the 19th centuries whose origin was from the Crimean Khanate – Hussein Ryfky Tamani ibn Muhammad ibn Kyrym Ghazi. At the beginning of the 19th century, during 11 years, the scholar was a leader (bashkhoja of the Ground forces military-engineering school (Muhendishane-i berry-i Humayun in Istanbul. The article provides a review of translations made by Hussein Ryfky into the Ottoman language of European scientists’ works, as well as of his own research works on Geometry, Engineering and Military science, Astronomy, Geography, and other disciplines. The author also presents the textbooks having for centuries become the basic textbooks in the Ottoman Empire for learning exact sciences in the military educational institutions. The author provides the analysis of the pedagogical and public activity of the scientist during the period of reforms Nizam-i-Jedid, as well as the short description of his activities during the student years. Hussein Ryfky Tamani made a synthesis of Western and Ottoman approaches to the science. His works became the corner-stone in the foundation of Ottoman Mathematical science at the beginning of the 19th century.
International Nuclear Information System (INIS)
Zhizhchenko, A B; Izaak, A D
2007-01-01
This paper is devoted to a description of the information system Math-Net.Ru, the All-Russian mathematical portal providing various resources to Russian and foreign mathematicians in their search for information for their scientific work (http://www.mathnet.ru/). The most interesting section of the portal is Journals, which combines Russian periodical and continuous publications in the mathematical sciences as a unified information system. The portal structure and its diverse opportunities and tools available for information searches are described. A survey of similar Russian and foreign systems is presented. This article is aimed at the wide community of mathematicians ready to use new information technologies in their research. Technical details of the system's realization are omitted, and attention is focused rather on a description of the users' possibilities.
Landform Degradation and Slope Processes on Io: The Galileo View
Moore, Jeffrey M.; Sullivan, Robert J.; Chuang, Frank C.; Head, James W., III; McEwen, Alfred S.; Milazzo, Moses P.; Nixon, Brian E.; Pappalardo, Robert T.; Schenk, Paul M.; Turtle, Elizabeth P.;
2001-01-01
The Galileo mission has revealed remarkable evidence of mass movement and landform degradation on Io. We recognize four major slope types observed on a number of intermediate resolution (250 m/pixel) images and several additional textures on very high resolution (10 m/pixel) images. Slopes and scarps on Io often show evidence of erosion, seen in the simplest form as alcove-carving slumps and slides at all scales. Many of the mass movement deposits on Io are probably mostly the consequence of block release and brittle slope failure. Sputtering plays no significant role. Sapping as envisioned by McCauley et al. remains viable. We speculate that alcove-lined canyons seen in one observation and lobed deposits seen along the bases of scarps in several locations may reflect the plastic deformation and 'glacial' flow of interstitial volatiles (e.g., SO2) heated by locally high geothermal energy to mobilize the volatile. The appearance of some slopes and near-slope surface textures seen in very high resolution images is consistent with erosion from sublimation-degradation. However, a suitable volatile (e.g., H2S) that can sublimate fast enough to alter Io's youthful surface has not been identified. Disaggregation from chemical decomposition of solid S2O and other polysulfur oxides may conceivably operate on Io. This mechanism could degrade landforms in a manner that resembles degradation from sublimation, and at a rate that can compete with resurfacing.
BATMAN: a DMD-based MOS demonstrator on Galileo Telescope
Zamkotsian, Frédéric; Spanò, Paolo; Bon, William; Riva, Marco; Lanzoni, Patrick; Nicastro, Luciano; Molinari, Emilio; Cosentino, Rosario; Ghedina, Adriano; Gonzalez, Manuel; Di Marcantonio, Paolo; Coretti, Igor; Cirami, Roberto; Manetta, Marco; Zerbi, Filippo; Tresoldi, Daniela; Valenziano, Luca
2012-09-01
Multi-Object Spectrographs (MOS) are the major instruments for studying primary galaxies and remote and faint objects. Current object selection systems are limited and/or difficult to implement in next generation MOS for space and groundbased telescopes. A promising solution is the use of MOEMS devices such as micromirror arrays which allow the remote control of the multi-slit configuration in real time. We are developing a Digital Micromirror Device (DMD) - based spectrograph demonstrator called BATMAN. We want to access the largest FOV with the highest contrast. The selected component is a DMD chip from Texas Instruments in 2048 x 1080 mirrors format, with a pitch of 13.68μm. Our optical design is an all-reflective spectrograph design with F/4 on the DMD component. This demonstrator permits the study of key parameters such as throughput, contrast and ability to remove unwanted sources in the FOV (background, spoiler sources), PSF effect, new observational modes. This study will be conducted in the visible with possible extension in the IR. A breadboard on an optical bench, ROBIN, has been developed for a preliminary determination of these parameters. The demonstrator on the sky is then of prime importance for characterizing the actual performance of this new family of instruments, as well as investigating the operational procedures on astronomical objects. BATMAN will be placed on the Nasmyth focus of Telescopio Nazionale Galileo (TNG) during next year.
Galileo Measurements of the Jovian Electron Radiation Environment
Garrett, H. B.; Jun, I.; Ratliff, J. M.; Evans, R. W.; Clough, G. A.; McEntire, R. W.
2003-12-01
The Galileo spacecraft Energetic Particle Detector (EPD) has been used to map Jupiter's trapped electron radiation in the jovian equatorial plane for the range 8 to 16 Jupiter radii (1 jovian radius = 71,400 km). The electron count rates from the instrument were averaged into 10-minute intervals over the energy range 0.2 MeV to 11 MeV to form an extensive database of observations of the jovian radiation belts between Jupiter orbit insertion (JOI) in 1995 and end of mission in 2003. These data were then used to provide differential flux estimates in the jovian equatorial plane as a function of radial distance (organized by magnetic L-shell position). These estimates provide the basis for an omni-directional, equatorial model of the jovian electron radiation environment. The comparison of these results with the original Divine model of jovian electron radiation and their implications for missions to Jupiter will be discussed. In particular, it was found that the electron dose predictions for a representative mission to Europa were about a factor of 2 lower than the Divine model estimates over the range of 100 to 1000 mils (2.54 to 25.4 mm) of aluminum shielding, but exceeded the Divine model by about 50% for thicker shielding for the assumed Europa orbiter trajectories. The findings are a significant step forward in understanding jovian electron radiation and represent a valuable tool for estimating the radiation environment to which jovian science and engineering hardware will be exposed.
Optimal Earth's reentry disposal of the Galileo constellation
Armellin, Roberto; San-Juan, Juan F.
2018-02-01
Nowadays there is international consensus that space activities must be managed to minimize debris generation and risk. The paper presents a method for the end-of-life (EoL) disposal of spacecraft in Medium Earth Orbit (MEO). The problem is formulated as a multiobjective optimisation one, which is solved with an evolutionary algorithm. An impulsive manoeuvre is optimised to reenter the spacecraft in Earth's atmosphere within 100 years. Pareto optimal solutions are obtained using the manoeuvre Δv and the time-to-reentry as objective functions to be minimised. To explore at the best the search space a semi-analytical orbit propagator, which can propagate an orbit for 100 years in few seconds, is adopted. An in-depth analysis of the results is carried out to understand the conditions leading to a fast reentry with minimum propellant. For this aim a new way of representing the disposal solutions is introduced. With a single 2D plot we are able to fully describe the time evolution of all the relevant orbital parameters as well as identify the conditions that enables the eccentricity build-up. The EoL disposal of the Galileo constellation is used as test case.
The ionosphere of Europa from Galileo radio occultations
Kliore, A. J.; Hinson, D. P.; Flasar, F. M.; Nagy, A. F.; Cravens, T. E.
1997-01-01
The Galileo spacecraft performed six radio occultation observations of Jupiter's Galilean satellite Europa during its tour of the jovian system. In five of the six instances, these occultations revealed the presence of a tenuous ionosphere on Europa, with an average maximum electron density of nearly 10(4) per cubic centimeter near the surface and a plasma scale height of about 240 +/- 40 kilometers from the surface to 300 kilometers and of 440 +/- 60 kilometers above 300 kilometers. Such an ionosphere could be produced by solar photoionization and jovian magnetospheric particle impact in an atmosphere having a surface density of about 10(8) electrons per cubic centimeter. If this atmosphere is composed primarily of O2, then the principal ion is O2+ and the neutral atmosphere temperature implied by the 240-kilometer scale height is about 600 kelvin. If it is composed of H2O, the principal ion is H3O+ and the neutral temperature is about 340 kelvin. In either case, these temperatures are much higher than those observed on Europa's surface, and an external heating source from the jovian magnetosphere is required.
General Galilei Covariant Gaussian Maps
Gasbarri, Giulio; Toroš, Marko; Bassi, Angelo
2017-09-01
We characterize general non-Markovian Gaussian maps which are covariant under Galilean transformations. In particular, we consider translational and Galilean covariant maps and show that they reduce to the known Holevo result in the Markovian limit. We apply the results to discuss measures of macroscopicity based on classicalization maps, specifically addressing dissipation, Galilean covariance and non-Markovianity. We further suggest a possible generalization of the macroscopicity measure defined by Nimmrichter and Hornberger [Phys. Rev. Lett. 110, 16 (2013)].
Precise orbit determination and point positioning using GPS, Glonass, Galileo and BeiDou
Directory of Open Access Journals (Sweden)
Tegedor J.
2014-04-01
Full Text Available State of the art Precise Point Positioning (PPP is currently based on dual-frequency processing of GPS and Glonass navigation systems. The International GNSS Service (IGS is routinely providing the most accurate orbit and clock products for these constellations, allowing point positioning at centimeter-level accuracy. At the same time, the GNSS landscape is evolving rapidly, with the deployment of new constellations, such as Galileo and BeiDou. The BeiDou constellation currently consists of 14 operational satellites, and the 4 Galileo In-Orbit Validation (IOV satellites are transmitting initial Galileo signals. This paper focuses on the integration of Galileo and BeiDou in PPP, together with GPS and Glonass. Satellite orbits and clocks for all constellations are generated using a network adjustment with observation data collected by the IGS Multi-GNSS Experiment (MGEX, as well as from Fugro proprietary reference station network. The orbit processing strategy is described, and orbit accuracy for Galileo and BeiDou is assessed via orbit overlaps, for different arc lengths. Kinematic post-processed multi-GNSS positioning results are presented. The benefits of multiconstellation PPP are discussed in terms of enhanced availability and positioning accuracy.
Hiesinger, H.; Jaumann, R.; Neukum, G.
1993-01-01
Both the Apollo 17 and the Mare Serenitatis region were observed by Galileo during its fly-by in December 1992. We used earth-based multispectral data to define mare units which then can be compared with the results of the Galileo SSI data evaluation.
Jacobsen, Michele; Clifford, Pat; Friesen, Sharon
The Galileo Educational Network is an innovative educational reform initiative that brings learning to learners. Expert teachers work alongside teachers and students in schools to create new images of engaged learning, technology integration and professional development. This case study is based on the nine schools involved with Galileo in…
Galileo and Descartes on Copernicanism and the cause of the tides.
Schmaltz, Tad M
2015-06-01
Galileo and Descartes were on the front lines of the defense of Copernicanism against theological objections that took on special importance during the seventeenth century. Galileo attempted to overcome opposition to Copernicanism within the Catholic Church by offering a demonstration of this theory that appeals to the fact that the double motion of the earth is necessary as a cause of the tides. It turns out, however, that the details of Galileo's tidal theory compromise his demonstration. Far from attempting to provide a demonstration of the earth's motion, Descartes ultimately argued that his system is compatible with the determination of the Church that the earth is at rest. Nonetheless, Descartes's account of the cause of the tides creates difficulty for this argument. Copyright © 2015 Elsevier Ltd. All rights reserved.
Sośnica, Krzysztof; Prange, Lars; Kaźmierski, Kamil; Bury, Grzegorz; Drożdżewski, Mateusz; Zajdel, Radosław; Hadas, Tomasz
2018-02-01
The space segment of the European Global Navigation Satellite System (GNSS) Galileo consists of In-Orbit Validation (IOV) and Full Operational Capability (FOC) spacecraft. The first pair of FOC satellites was launched into an incorrect, highly eccentric orbital plane with a lower than nominal inclination angle. All Galileo satellites are equipped with satellite laser ranging (SLR) retroreflectors which allow, for example, for the assessment of the orbit quality or for the SLR-GNSS co-location in space. The number of SLR observations to Galileo satellites has been continuously increasing thanks to a series of intensive campaigns devoted to SLR tracking of GNSS satellites initiated by the International Laser Ranging Service. This paper assesses systematic effects and quality of Galileo orbits using SLR data with a main focus on Galileo satellites launched into incorrect orbits. We compare the SLR observations with respect to microwave-based Galileo orbits generated by the Center for Orbit Determination in Europe (CODE) in the framework of the International GNSS Service Multi-GNSS Experiment for the period 2014.0-2016.5. We analyze the SLR signature effect, which is characterized by the dependency of SLR residuals with respect to various incidence angles of laser beams for stations equipped with single-photon and multi-photon detectors. Surprisingly, the CODE orbit quality of satellites in the incorrect orbital planes is not worse than that of nominal FOC and IOV orbits. The RMS of SLR residuals is even lower by 5.0 and 1.5 mm for satellites in the incorrect orbital planes than for FOC and IOV satellites, respectively. The mean SLR offsets equal -44.9, -35.0, and -22.4 mm for IOV, FOC, and satellites in the incorrect orbital plane. Finally, we found that the empirical orbit models, which were originally designed for precise orbit determination of GNSS satellites in circular orbits, provide fully appropriate results also for highly eccentric orbits with variable linear
An Eoetvoes versus a Galileo experiment: A study in two versus three-dimensional physics
International Nuclear Information System (INIS)
Hughes, R.J.; Nieto, M.M.; Goldman, T.
1988-01-01
We show how the net effect of two new approximately cancelling (vector and scalar) gravitational forces could produce a measureable effect from a horizontal thin slab in an Eoetvoes experiment, yet yield a null result at the same level for a Galileo experiment. The resolution is an example of two-versus three-dimensional physics and the cancelling nature of the two forces. Using two different earth models, we apply this result to the Australian mine gravity data of Stacey et al., the Brookhaven Eoetvoes experiment of Thieberger, and the Colorado Galileo experiment of Niebauer et al. (orig.)
On the development of the power sources for the Ulysses and Galileo missions
International Nuclear Information System (INIS)
Bennett, G.L.; Whitmore, C.W.; Amos, W.R.
1989-01-01
The development of the Radioisotope Thermoelectric Generator (RTG) to be used on the Ulysses and Galileo missions is described. This RTG, designed to provide a minimum of 285 We at the beginning of the mission, builds upon the successful thermoelectric technology developed for the RTGs now in operation on the Voyager 1 and 2 spacecraft. A total of four flight RTGs, one ground qualification RTG, and one engineering unit have been built and tested for the Galileo and Ulysses missions. The tests have included measurements of functional performance, vibration response, magnetic signature, mass properties, nuclear radiation, and vacuum performance. The RTGs are fully flight qualified for both missions and are ready for launch
Terrestrial cometary tail and lunar corona induced by small comets: Predictions for Galileo
International Nuclear Information System (INIS)
Dessler, A.J.; Sandel, B.R.; Vasyliunas, V.M.
1990-01-01
A search for small comets near 1 AU is an objective of the Galileo mission. If small comets are as numerous and behave as has been proposed, two near-Earth signatures of small comets should be observable by the UVS experiment on the Earth flybys of Galileo; (1) a comet-like tail of Earth created by small comets that come close to Earth, break up and vaporize, but just miss the atmosphere and proceed back into interplanetary space, and (2) a corona surrounding the Moon induced by lunar impact of small comets
Salvia, Stefano
2017-06-01
Galileo's early inquiries on motion and free fall in Pisa (1588-1592) can be regarded as a case study of multiple knowledge transfer at the very basic roots of modern mechanics. The treatise De motu, unpublished until 1890, is an original but unsuccessful attempt to go beyond Aristotelian physics by extending Archimedean hydrostatics to the dynamics of natural motion and reappraising the late-medieval impetus theory to account for violent motion and acceleration. I will discuss in particular why Galileo was forced to abandon his project before moving to Padua and how the manuscripts De motu provided him with a "research agenda" for further theoretical and experimental investigation.
Between Copernicus and Galileo Christoph Clavius and the Collapse of Ptolemaic Cosmology
Lattis, James M
1994-01-01
Between Copernicus and Galileo is the story of Christoph Clavius, the Jesuit astronomer and teacher whose work helped set the standards by which Galileo's famous claims appeared so radical, and whose teachings guided the intellectual and scientific agenda of the Church in the central years of the Scientific Revolution. Though relatively unknown today, Clavius was enormously influential throughout Europe in the late sixteenth and early seventeenth centuries through his astronomy books—the standard texts used in many colleges and universities, and the tools with which Descartes, Gassendi, and Me
Io After Galileo A New View of Jupiter’s Volcanic Moon
Lopes, Rosaly M. C
2007-01-01
Jupiter’s moon Io is the Solar System’s most exotic satellite. Active volcanism on Io was discovered from observations by the Voyager 1 spacecraft in 1979, confirming a possibility suggested from theoretical studies of Io’s orbit. Our knowledge of Io’s volcanism, composition, and space environment were significantly increased as a result of observations by the Galileo spacecraft from 1996 through 2001. The end of the Galileo mission in 2003 makes this an ideal time to summarize the new results in a book as no book has ever been written about Jupiter’s volcanic moon, Io.
Marzo, Mar; Bello, Xabier; Puig, Marta; Maside, Xulio; Ruiz, Alfredo
2013-02-04
Galileo is a transposable element responsible for the generation of three chromosomal inversions in natural populations of Drosophila buzzatii. Although the most characteristic feature of Galileo is the long internally-repetitive terminal inverted repeats (TIRs), which resemble the Drosophila Foldback element, its transposase-coding sequence has led to its classification as a member of the P-element superfamily (Class II, subclass 1, TIR order). Furthermore, Galileo has a wide distribution in the genus Drosophila, since it has been found in 6 of the 12 Drosophila sequenced genomes. Among these species, D. mojavensis, the one closest to D. buzzatii, presented the highest diversity in sequence and structure of Galileo elements. In the present work, we carried out a thorough search and annotation of all the Galileo copies present in the D. mojavensis sequenced genome. In our set of 170 Galileo copies we have detected 5 Galileo subfamilies (C, D, E, F, and X) with different structures ranging from nearly complete, to only 2 TIR or solo TIR copies. Finally, we have explored the structural and length variation of the Galileo copies that point out the relatively frequent rearrangements within and between Galileo elements. Different mechanisms responsible for these rearrangements are discussed. Although Galileo is a transposable element with an ancient history in the D. mojavensis genome, our data indicate a recent transpositional activity. Furthermore, the dynamism in sequence and structure, mainly affecting the TIRs, suggests an active exchange of sequences among the copies. This exchange could lead to new subfamilies of the transposon, which could be crucial for the long-term survival of the element in the genome.
Mapping the Topography of Europa: The Galileo-Clipper Story
Schenk, Paul M.
2014-11-01
The renewed effort to return to Europa for global mapping and landing site selection raises the question: What do we know about Europa topography and how do we know it? The question relates to geologic questions of feature formation, to the issue of ice shell thickness, mechanical strength, and internal activity, and to landing hazards. Our topographic data base for Europa is sparse indeed (no global map is possible), but we are not without hope. Two prime methods have been employed in our mapping program are stereo image and shape-from-shading (PC) slope analyses. On Europa, we are fortunate that many PC-DEM areas are also controlled by stereo-DEMs, mitigating the long-wavelength uncertainties in the PC data. Due to the Galileo antenna malfunction, mapping is limited to no more than 20% of the surface, far less than for any of the inner planets. Thirty-seven individual mapping sites have been identified, scattered across the globe, and all have now been mapped. Excellent stereo mapping is possible at all Sun angles, if resolution is below ~350 m. PC mapping is possible at Sun angles greater than ~60 degrees, if emission angles are less than ~40 degrees. The only extended contiguous areas of topographic mapping larger than 150 km across are the two narrow REGMAP mapping mosaics extending pole-to-pole along longitudes 85 and 240 W. These are PC-only and subject to long-wavelength uncertainties and errors, especially in the north/south where oblique imaging produces layover. Key findings include the mean slopes of individual terrain types (Schenk, 2009), topography across chaos (Schenk and Pappalardo, 2004), topography of craters and inferences for ice shell thickness (Schenk, 2002; Schenk and Turtle, 2009), among others. A key discovery, despite the limited data, is that Europan terrains rarely have topographic amplitude greater than 250 meters, but that regionally Europa has imprinted on it topographic amplitudes of +/- 1 km, in the form of raised plateaus and
Nahin, Paul J
2003-01-01
What is the best way to photograph a speeding bullet? Why does light move through glass in the least amount of time possible? How can lost hikers find their way out of a forest? What will rainbows look like in the future? Why do soap bubbles have a shape that gives them the least area? By combining the mathematical history of extrema with contemporary examples, Paul J. Nahin answers these intriguing questions and more in this engaging and witty volume. He shows how life often works at the extremes--with values becoming as small (or as large) as possible--and how mathematicians over the centuri
Experimental Galileo System Time (E-GST): One Year of Real-Time Experiment
2004-12-01
operations at the E-PTS in the current configuration. The frequency output of the H-maser is fed to a high-accuracy phase micro -stepper (namely an...turn, GaIn is a joint company consisting of Alenia Spazio, Alcatel Industries, Astrium GmbH, Astrium Ltd., and GSS (Galileo Sistemas y Servicios
Radebaugh, J.; McEwen, A. S.; Milazzo, M.; Davies, A. G.; Keszthelyi, L. P.; Geissler, P.
2002-01-01
Temperatures of Io's Pele hotspot were found using dual-filter observations from Galileo and Cassini. Temperatures average 1375 K, but vary widely over tens of minutes. Dropoff in emission with rotation consistent with lava fountaining at a lava lake. Additional information is contained in the original extended abstract.
Rolling and slipping down Galileo close-quote s inclined plane: Rhythms of the spheres
International Nuclear Information System (INIS)
Crawford, F.S.
1996-01-01
In ''Two New Sciences'' (TNS) Galileo presents a number of theorems and propositions for smooth solid spheres released from rest and rolling a distance d in time t down an incline of height H and length L. We collect and summarize his results in a single grand proportionality P: d 1 /d 2 =(t 2 1 /t 2 2 )(H/L) 1 /(H/L) 2 . (P) From TNS it is clear that what we call P is assumed by Galileo to hold for all inclinations including vertical free fall with H/L=1. But in TNS he describes only experiments with gentle inclinations H/L 1 while rolling down a gentle incline is deflected so as to be launched horizontally with speed v 1 into a free fall orbit discovered by Galileo to be a parabola. The measured horizontal distance X 2 traveled in this parabolic orbit (for a given vertical distance fallen to the floor) was smaller than he expected, by a factor 0.84. But that is exactly what we (moderns) expect, since we know that Galileo did not appreciate the difference between rolling without slipping, and slipping on a frictionless surface
Long Term Monitoring of the Io Plasma Torus During the Galileo Encounter
Brown, Michael E.
2002-01-01
In the fall of 1999, the Galileo spacecraft made four passes into the Io plasma torus, obtaining the best in situ measurements ever of the particle and field environment in this densest region of the Jovian magnetosphere. Supporting observations from the ground are vital for understanding the global and temporal context of the in situ observations. We conducted a three-month-long Io plasma torus monitoring campaign centered on the time of the Galileo plasma torus passes to support this aspect of the Galileo mission. The almost-daily plasma density and temperature measurements obtained from our campaign allow the much more sparse but also much more detailed Galileo data to be used to address the issues of the structure of the Io plasma torus, the stability mechanism of the Jovian magnetosphere, the transport of material from the source region near Io, and the nature and source of persistent longitudinal variations. Combining the ground-based monitoring data with the detailed in situ data offers the only possibility for answering some of the most fundamental questions about the nature of the Io plasma torus.
Global Distribution of Active Volcanism on Io as Known at the End of the Galileo Mission
Lopes, Rosaly M. C.; Kamp. Lucas W.; Smythe, W. D.; Radebaugh, J.; Turtle, E.; Perry, J.; Bruno, B.
2004-01-01
Hot spots are manifestations of Io s mechanism of internal heating and heat transfer. Therefore, the global distribution of hot spots and their power output has important implications for how Io is losing heat. The end of the Galileo mission is an opportune time to revisit studies of the distribution of hot spots on Io, and to investigate the distribution of their power output.
Galileo's Last Fly-Bys of Io: NIMS Observations of Loki, Tupan, and Emakong Calderas
Lopes, Rosaly M. C.; Kamp, L. W.; Davies, A. G.; Smythe, W. D.; Carlson, R. W.; Doute, S.; McEwen, A.; Turtle, E. P.; Leader, F.; Mehlman, R.
2002-01-01
NIMS results from the 2001 Galileo fly-bys of Io will be presented, focusing on three calderas that may contain lava lakes. Preliminary results from the January 2002 Io fly-by will be presented. Additional information is contained in the original extended abstract.
International Nuclear Information System (INIS)
Barykin, V.N.
1989-01-01
A physical interpretation of the early detected ambiguity of the electrodynamic material equations of isotropic, inertially moving media which mathematically manifests itself through complementarity of the equations invariant under the Galileo group in some cases and in other ones - under the Lorentz group that can be experimentally discovered in the aberration phenomenon and Doppler effect
Galileo's 'Jumping-Hill' Experiment in the Classroom--A Constructivist's Analysis.
Kubli, Fritz
2001-01-01
Uses Galileo's 'jumping-hill' experiment as an historical element to improve science teaching in the classroom. Illustrates that the experiment can stimulate an animated discussion in the classroom, even if precise historic circumstances are not mentioned. The historical dimensions bring some color into the lesson, which increases attention. (SAH)
Application of high-precision two-way ranging to Galileo Earth-1 encounter navigation
Pollmeier, V. M.; Thurman, S. W.
1992-01-01
The application of precision two-way ranging to orbit determination with relatively short data arcs is investigated for the Galileo spacecraft's approach to its first Earth encounter (December 8, 1990). Analysis of previous S-band (2.3-GHz) ranging data acquired from Galileo indicated that under good signal conditions submeter precision and 10-m ranging accuracy were achieved. It is shown that ranging data of sufficient accuracy, when acquired from multiple stations, can sense the geocentric angular position of a distant spacecraft. A range data filtering technique, in which explicit modeling of range measurement bias parameters for each station pass is utilized, is shown to largely remove the systematic ground system calibration errors and transmission media effects from the Galileo range measurements, which would otherwise corrupt the angle-finding capabilities of the data. The accuracy of the Galileo orbit solutions obtained with S-band Doppler and precision ranging were found to be consistent with simple theoretical calculations, which predicted that angular accuracies of 0.26-0.34 microrad were achievable. In addition, the navigation accuracy achieved with precision ranging was marginally better than that obtained using delta-differenced one-way range (delta DOR), the principal data type that was previously used to obtain spacecraft angular position measurements operationally.
William Whewell, Galileo, and reconceptualizing the history of science and religion.
Wilson, David B
2011-12-20
This paper advocates a reconceptualization of the history of science and religion. It is an approach to the subject that would aid research by historians of science as well as their message to others, both academic and non-academic. The approach is perfectly illustrated by the life and ideas of William Whewell and Galileo.
Marzo, Mar; Liu, Danxu; Ruiz, Alfredo; Chalmers, Ronald
2013-01-01
Galileo is a DNA transposon responsible for the generation of several chromosomal inversions in Drosophila. In contrast to other members of the P-element superfamily, it has unusually long terminal inverted-repeats (TIRs) that resemble those of Foldback elements. To investigate the function of the long TIRs we derived consensus and ancestral sequences for the Galileo transposase in three species of Drosophilids. Following gene synthesis, we expressed and purified their constituent THAP domains and tested their binding activity towards the respective Galileo TIRs. DNase I footprinting located the most proximal DNA binding site about 70 bp from the transposon end. Using this sequence we identified further binding sites in the tandem repeats that are found within the long TIRs. This suggests that the synaptic complex between Galileo ends may be a complicated structure containing higher-order multimers of the transposase. We also attempted to reconstitute Galileo transposition in Drosophila embryos but no events were detected. Thus, although the limited numbers of Galileo copies in each genome were sufficient to provide functional consensus sequences for the THAP domains, they do not specify a fully active transposase. Since the THAP recognition sequence is short, and will occur many times in a large genome, it seems likely that the multiple binding sites within the long, internally repetitive, TIRs of Galileo and other Foldback-like elements may provide the transposase with its binding specificity. PMID:23648487
Marzo, Mar; Liu, Danxu; Ruiz, Alfredo; Chalmers, Ronald
2013-08-01
Galileo is a DNA transposon responsible for the generation of several chromosomal inversions in Drosophila. In contrast to other members of the P-element superfamily, it has unusually long terminal inverted-repeats (TIRs) that resemble those of Foldback elements. To investigate the function of the long TIRs we derived consensus and ancestral sequences for the Galileo transposase in three species of Drosophilids. Following gene synthesis, we expressed and purified their constituent THAP domains and tested their binding activity towards the respective Galileo TIRs. DNase I footprinting located the most proximal DNA binding site about 70 bp from the transposon end. Using this sequence we identified further binding sites in the tandem repeats that are found within the long TIRs. This suggests that the synaptic complex between Galileo ends may be a complicated structure containing higher-order multimers of the transposase. We also attempted to reconstitute Galileo transposition in Drosophila embryos but no events were detected. Thus, although the limited numbers of Galileo copies in each genome were sufficient to provide functional consensus sequences for the THAP domains, they do not specify a fully active transposase. Since the THAP recognition sequence is short, and will occur many times in a large genome, it seems likely that the multiple binding sites within the long, internally repetitive, TIRs of Galileo and other Foldback-like elements may provide the transposase with its binding specificity. Copyright © 2013 The Authors. Published by Elsevier B.V. All rights reserved.
Directory of Open Access Journals (Sweden)
О. В. Полевщикова
2015-09-01
Full Text Available The professor of Novorossiysky (Odessa University I. Yu. Timchenko (1863-1939 managed to collect a remarkable library on the history of Mathematics which contained primarily antiquarian books including incunabula and 16th century editions. Various aspects of this valuabe book collection have been studied lately. Books from this dispersed collection have been revealed and examined de visu. Their cataloguing incudes the description of individual book copies in view of their provenance. The purpose of the article is to provide the information on a complex of owners’ recordings and dedicatory inscriptions as well as bookplates left on the books making an attempt to trace the fate of the copies incorporated in the library of the Odessa mathematician. The information collected is considered in the context of the history of Mathematics. Many may characterise both direct and indirect expressions of the readers’ interests in books and reading. The study of provenance records demonstrate that the copies acquired by professor Timchenko used to be in the libraries of a number of men of science – mathematicians, physicists, philologists, etc. The findings of this article enable to enlarge the database of provenance making the practical value and results of the research.
The final Galileo SSI observations of Io: Orbits G28-I33
Turtle, E.P.; Keszthelyi, L.P.; McEwen, A.S.; Radebaugh, J.; Milazzo, M.; Simonelli, D.P.; Geissler, P.; Williams, D.A.; Perry, J.; Jaeger, W.L.; Klaasen, K.P.; Breneman, H.H.; Denk, T.; Phillips, C.B.
2004-01-01
We present the observations of Io acquired by the Solid State Imaging (SSI) experiment during the Galileo Millennium Mission (GMM) and the strategy we used to plan the exploration of Io. Despite Galileo's tight restrictions on data volume and downlink capability and several spacecraft and camera anomalies due to the intense radiation close to Jupiter, there were many successful SSI observations during GMM. Four giant, high-latitude plumes, including the largest plume ever observed on Io, were documented over a period of eight months; only faint evidence of such plumes had been seen since the Voyager 2 encounter, despite monitoring by Galileo during the previous five years. Moreover, the source of one of the plumes was Tvashtar Catena, demonstrating that a single site can exhibit remarkably diverse eruption styles - from a curtain of lava fountains, to extensive surface flows, and finally a ??? 400 km high plume - over a relatively short period of time (??? 13 months between orbits 125 and G29). Despite this substantial activity, no evidence of any truly new volcanic center was seen during the six years of Galileo observations. The recent observations also revealed details of mass wasting processes acting on Io. Slumping and landsliding dominate and occur in close proximity to each other, demonstrating spatial variation in material properties over distances of several kilometers. However, despite the ubiquitous evidence for mass wasting, the rate of volcanic resurfacing seems to dominate; the floors of paterae in proximity to mountains are generally free of debris. Finally, the highest resolution observations obtained during Galileo's final encounters with Io provided further evidence for a wide diversity of surface processes at work on Io. ?? 2003 Elsevier Inc. All rights reserved.
International Nuclear Information System (INIS)
Mailhe, P.; Barbier, B.; Garnier, C.; Landskron, H.; Sedlacek, R.; Arimescu, I.; Smith, M.; Bellanger, P.
2013-01-01
The availability of reliable tools and associated methodology able to accurately predict the LWR fuel behavior in all conditions is of great importance for safe and economic fuel usage. For that purpose, AREVA has developed its new global fuel rod performance code GALILEO along with its associated realistic thermal-mechanical analysis methodology. This realistic methodology is based on a Monte Carlo type random sampling of all relevant input variables. After having outlined the AREVA realistic methodology, this paper will be focused on the GALILEO code benchmarking process, on its extended experimental database and on the GALILEO model uncertainties assessment. The propagation of these model uncertainties through the AREVA realistic methodology is also presented. This GALILEO model uncertainties processing is of the utmost importance for accurate fuel design margin evaluation as illustrated on some application examples. With the submittal of Topical Report GALILEO to the U.S. NRC in 2013, GALILEO and its methodology are on the way to be industrially used in a wide range of irradiation conditions. (authors)
Lei, Ting; Belykh, Evgenii; Dru, Alexander B; Yagmurlu, Kaan; Elhadi, Ali M; Nakaji, Peter; Preul, Mark C
2016-07-01
Chen Jingrun (1933-1996), perhaps the most prodigious mathematician of his time, focused on the field of analytical number theory. His work on Waring's problem, Legendre's conjecture, and Goldbach's conjecture led to progress in analytical number theory in the form of "Chen's Theorem," which he published in 1966 and 1973. His early life was ravaged by the Second Sino-Japanese War and the Chinese Cultural Revolution. On the verge of solving Goldbach's conjecture in 1984, Chen was struck by a bicyclist while also bicycling and suffered severe brain trauma. During his hospitalization, he was also found to have Parkinson's disease. Chen suffered another serious brain concussion after a fall only a few months after recovering from the bicycle crash. With significant deficits, he remained hospitalized for several years without making progress while receiving modern Western medical therapies. In 1988 traditional Chinese medicine experts were called in to assist with his treatment. After a year of acupuncture and oxygen therapy, Chen could control his basic bowel and bladder functions, he could walk slowly, and his swallowing and speech improved. When Chen was unable to produce complex work or finish his final work on Goldbach's conjecture, his mathematical pursuits were taken up vigorously by his dedicated students. He was able to publish Youth Math, a mathematics book that became an inspiration in Chinese education. Although he died in 1996 at the age of 63 after surviving brutal political repression, being deprived of neurological function at the very peak of his genius, and having to be supported by his wife, Chen ironically became a symbol of dedication, perseverance, and motivation to his students and associates, to Chinese youth, to a nation, and to mathematicians and scientists worldwide.
Selenide isotope generators for the Galileo Mission: SIG hermetic bimetal weld transition joint
International Nuclear Information System (INIS)
Barnett, W.J.
1979-08-01
The successful development of the commercial 6061-T651/Silver/304L explosive clad plate material as a bimetal weld transition joint material, as described herein, satisfies all SIG Galileo design requirements for hermetic weld attachment of stainless steel subassemblies to aluminum alloy generator housing or end cover structures. The application of this type weld transition joint to the hermetic attachment of stainless steel shell connectors is well-developed and tested. Based on on-going life tests of stainless steel receptacle/bimetal ring attachment assemblies and metallurgical characterization studies of this transition joint material, it appears evident that this transition joint material has more than adequate capability to meet the 250 to 300 0 F and 50,000 hr. design life of the SIG/Galileo mission. Its extended life temperture capability may well approach 350 to 400 0 F
International Nuclear Information System (INIS)
Bennett, G.L.; Lombardo, J.J.; Hemler, R.J.; Peterson, J.R.
1986-01-01
Electrical power for NASA's Galileo mission to Jupiter and ESA's Ulysses mission to explore the polar regions of the Sun will be provided by General-Purpose Heat Source Radioisotope Thermo-electric Generators (GPHS-RTGs). Building upon the successful RTG technology used in the Voyager program, each GPHS-RTG will provide at least 285 W(e) at beginning-of-mission. The design concept has been proven through extensive tests of an electrically heated Engineering Unit and a nuclear-heated Qualification Unit. Four flight generators have been successfully assembled and tested for use on the Galileo and Ulysses spacecraft. All indications are that the GPHS-RTGs will meet or exceed the power requirement of the missions
Galileo's new universe the revolution in our understanding of the cosmos
Maran, Stephen
2009-01-01
The historical and social implications of the telescope and that instrument's modern-day significance are brought into startling focus in this fascinating account. When Galileo looked to the sky with his perspicillum, or spyglass, roughly 400 years ago, he could not have fathomed the amount of change his astonishing findingsa seemingly flat moon magically transformed into a dynamic, crater-filled orb and a large, black sky suddenly held millions of galaxieswould have on civilizations. Reflecting on how Galileo's world compares with contemporary society, this insightful analysis deftly moves from the cutting-edge technology available in 17th-century Europe to the unbelievable phenomena discovered during the last 50 years, documenting important astronomical advances and the effects they have had over the years.
The Faces of Saturn: Images and Texts from Augustus through Dürer to Galileo
Shank, M. H.
2013-04-01
This paper follows the thread(s) of Saturn in astrology and art from the Babylonians to Galileo, paying special attention to the planet's political importance from Augustus to the Medici and to its medical/psychological significance from Ficino through Dürer. In passing, I extend David Pingree's astrological interpretation of Dürer's Melencholia I and propose a very personal rationale for the engraving, namely as a memorial to his mother.
Delprat, Alejandra; Negre, Bàrbara; Puig, Marta; Ruiz, Alfredo
2009-11-18
Transposable elements (TEs) are responsible for the generation of chromosomal inversions in several groups of organisms. However, in Drosophila and other Dipterans, where inversions are abundant both as intraspecific polymorphisms and interspecific fixed differences, the evidence for a role of TEs is scarce. Previous work revealed that the transposon Galileo was involved in the generation of two polymorphic inversions of Drosophila buzzatii. To assess the impact of TEs in Drosophila chromosomal evolution and shed light on the mechanism involved, we isolated and sequenced the two breakpoints of another widespread polymorphic inversion from D. buzzatii, 2z(3). In the non inverted chromosome, the 2z(3) distal breakpoint was located between genes CG2046 and CG10326 whereas the proximal breakpoint lies between two novel genes that we have named Dlh and Mdp. In the inverted chromosome, the analysis of the breakpoint sequences revealed relatively large insertions (2,870-bp and 4,786-bp long) including two copies of the transposon Galileo (subfamily Newton), one at each breakpoint, plus several other TEs. The two Galileo copies: (i) are inserted in opposite orientation; (ii) present exchanged target site duplications; and (iii) are both chimeric. Our observations provide the best evidence gathered so far for the role of TEs in the generation of Drosophila inversions. In addition, they show unequivocally that ectopic recombination is the causative mechanism. The fact that the three polymorphic D. buzzatii inversions investigated so far were generated by the same transposon family is remarkable and is conceivably due to Galileo's unusual structure and current (or recent) transpositional activity.
The search for active Europa plumes in Galileo plasma particle detector data: the E12 flyby
Huybrighs, H.; Roussos, E.; Krupp, N.; Fraenz, M.; Futaana, Y.; Barabash, S. V.; Glassmeier, K. H.
2017-12-01
Hubble Space Telescope observations of Europa's auroral emissions and transits in front of Jupiter suggest that recurring water vapour plumes originating from Europa's surface might exist. If conclusively proven, the discovery of these plumes would be significant, because Europa's potentially habitable ocean could be studied remotely by taking in-situ samples of these plumes from a flyby mission. The first opportunity to collect in-situ evidence of the plumes will not arise before the early 2030's when ESA's JUICE mission or NASA's Europa Clipper are set to arrive. However, it may be possible that NASA's Galileo mission has already encountered the plumes when it was active in the Jupiter system from 1995 to 2003. It has been suggested that the high plasma densities and anomalous magnetic fields measured during one of the Galileo flybys of Europa (flyby E12) could be connected to plume activity. In the context of the search for Europa plume signatures in Galileo particle data we present an overview of the in-situ plasma particle data obtained by the Galileo spacecraft during the E12 flyby. Focus is in particular on the data obtained with the plasma particle instruments PLS (low energy ions and electrons) and EPD (high energy ions and electrons). We search for signs of an extended exosphere/ionosphere that could be consistent with ongoing plume activity. The PLS data obtained during the E12 flyby show an extended interaction region between Europa and the plasma from Jupiter's magnetosphere, hinting at the existence of an extended ionosphere and exosphere. Furthermore we show how the EPD data are analyzed and modelled in order to evaluate whether a series of energetic ion depletions can be attributed to losses on the moon's surface or its neutral exosphere.
Observations and temperatures of Io's Pele Patera from Cassini and Galileo spacecraft images
Radebaugh, J.; McEwen, A.S.; Milazzo, M.P.; Keszthelyi, L.P.; Davies, A.G.; Turtle, E.P.; Dawson, D.D.
2004-01-01
Pele has been the most intense high-temperature hotspot on Io to be continuously active during the Galileo monitoring from 1996-2001. A suite of characteristics suggests that Pele is an active lava lake inside a volcanic depression. In 2000-2001, Pele was observed by two spacecraft, Cassini and Galileo. The Cassini observations revealed that Pele is variable in activity over timescales of minutes, typical of active lava lakes in Hawaii and Ethiopia. These observations also revealed that the short-wavelength thermal emission from Pele decreases with rotation of Io by a factor significantly greater than the cosine of the emission angle, and that the color temperature becomes more variable and hotter at high emission angles. This behavior suggests that a significant portion of the visible thermal emission from Pele comes from lava fountains within a topographically confined lava body. High spatial resolution, nightside images from a Galileo flyby in October 2001 revealed a large, relatively cool (Pele has lavas with ultramafic compositions. The long-lived, vigorous activity of what is most likely an actively overturning lava lake in Pele Patera indicates that there is a strong connection to a large, stable magma source region. ?? 2003 Elsevier Inc. All rights reserved.
Qualification of GPHS-RTG for the Galileo and Ulysses missions
International Nuclear Information System (INIS)
Cockfield, R.D.
1986-01-01
The General Purpose Heat Source - Radioisotope Thermoelectric Generator (GPHS-RTG)- was designed and built by General Electric under the sponsorship of the Department of Energy, Office of Special Nuclear Projects, to power both the Galileo and Ulysses spacecraft. Separate STS launches of these two spacecraft were planned for May, l986, but have now been delayed. Galileo will carry two RTGs, providing over 5l0 watts of electrical power at the end of a 4.2 year mission, and Ulysses' single RTG will provide over 250 watts of electrical power at the end of a 4.7 year mission. These power levels and mission durations may differ for delayed launch schedules. To ensure that the GPHS-RTG is qualified for the Galileo and Ulysses missions, a formal program, consisting of extensive analyses, inspections, demonstrations, and tests, was conducted. Requirements for qualification included such categories as electrical performance, life characteristics, dynamic capability, thermal characteristics, active cooling system performance, magnetic properties, nuclear criticality, gas management provisions, electrostatic cleanliness, mass properties, neutron emission rate, and micrometeoroid survivability. This paper addresses selected topics from this list and presents data to show that anticipated performance will meet or exceed design requirements as specified for a May, l986 launch
Perspectives for the gamma-ray spectroscopy at LNL: the GALILEO project
International Nuclear Information System (INIS)
Ur, Calin A
2012-01-01
GALILEO is a new 4π high-resolution γ-ray array in which GASP tapered detectors and Gammapool Cluster detectors will be used together. The array will be located at the Laboratori Nazionali di Legnaro and it will make use of the stable beams provided by the Tandem-ALPI-PIAVE accelerator complex and, in the future, of the exotic radioactive ion beams provided by SPES. The project requires the transformation of the original EUROBALL 7-capsules cluster detectors into triple cluster detectors and several R and D activities are ongoing for the development of a triple cluster cryostat and for building the corresponding anti-Compton shields. The development of the front-end, digital sampling, preprocessing and readout electronics is taking advantage of the most recent advances obtained within the AGATA project. A strong physics case was made for the building of the GALILEO array based on Letters of Intent submitted by several research groups from all over the world. In the present paper a brief summary of the status and the perspectives of the GALILEO project is given.
Global Ionospheric Modelling using Multi-GNSS: BeiDou, Galileo, GLONASS and GPS.
Ren, Xiaodong; Zhang, Xiaohong; Xie, Weiliang; Zhang, Keke; Yuan, Yongqiang; Li, Xingxing
2016-09-15
The emergence of China's Beidou, Europe's Galileo and Russia's GLONASS satellites has multiplied the number of ionospheric piercing points (IPP) offered by GPS alone. This provides great opportunities for deriving precise global ionospheric maps (GIMs) with high resolution to improve positioning accuracy and ionospheric monitoring capabilities. In this paper, the GIM is developed based on multi-GNSS (GPS, GLONASS, BeiDou and Galileo) observations in the current multi-constellation condition. The performance and contribution of multi-GNSS for ionospheric modelling are carefully analysed and evaluated. Multi-GNSS observations of over 300 stations from the Multi-GNSS Experiment (MGEX) and International GNSS Service (IGS) networks for two months are processed. The results show that the multi-GNSS GIM products are better than those of GIM products based on GPS-only. Differential code biases (DCB) are by-products of the multi-GNSS ionosphere modelling, the corresponding standard deviations (STDs) are 0.06 ns, 0.10 ns, 0.18 ns and 0.15 ns for GPS, GLONASS, BeiDou and Galileo, respectively in satellite, and the STDs for the receiver are approximately 0.2~0.4 ns. The single-frequency precise point positioning (SF-PPP) results indicate that the ionospheric modelling accuracy of the proposed method based on multi-GNSS observations is better than that of the current dual-system GIM in specific areas.
Directory of Open Access Journals (Sweden)
M. I. Baranov
2016-03-01
Full Text Available Purpose. Description of basic scientific achievements, features of personality and way of life of the known Kharkov mathematician, mechanical engineer and cyberneticist, academician of NAS of Ukraine Rvachev V.L .in the short form is presented. Methodology. Existent scientific approaches for treatment and systematization of mathematical knowledges, modern achievements in area of methods of direct solution of linear (nonlinear boundary problems of mechanics and mathematical physics with the scope terms of different types for the physical bodies of difficult geometrical form. Methods of historical method at research of development in society of analytical geometry, applied mathematics, classical mechanics and mathematical physics. Results. Short information is resulted about the basic creative and vital stages, and also fundamental scientific achievements of the indicated scientist-mathematician the scientific legacy of which entered in the treasure-house of world mathematical science. Are some personal qualities of this prominent soviet Ukrainian mathematician of the 20-th century, forming scientific school on the mathematical method of R−functions and leaving about itself kind memory for thankful students and descendants. Originality. First taught in 1970-th at the known mathematician of contemporaneity of Rvachev V.L. to bases of the applied mathematics and theory of R−functions by a scientist-electrophysicist from the Kharkov polytechnic institute presented for the wide circle of readers a short scientifically-historical essay about this large scientist-teacher, being based on his scientific labours, published biobibliographic materials and flashbacks of his devoted students-followers about him. Practical value. Scientific popularization of the special physical and mathematical knowledges and distinguished scientific achievements of the known Kharkov scientist-mathematician Rvachev V.L. in area of the applied mathematics, classical
GalileoMobile, sharing astronomy with students and teachers around the world
Benitez-Herrera, S.; GalileoMobile Team
2017-03-01
GalileoMobile is a non-profit itinerant science outreach initiative that brings Astronomy closer to young people in areas with little or no access to outreach programs. We perform astronomy-related activities in schools and communities we visit and encourage follow-up activities through teacher training workshops and the donation of telescopes and other educational resources. GalileoMobile is an unprecedented initiative promoting science knowledge and the interaction beyond borders through Astronomy while raising awareness for the diversity of human cultures, conveying the message of unity under the same sky. We take advantage of the local astronomical culture of the visited communities to establish a dialogue between different ways of understanding the world and to share different types of knowledge (historic, scientific, anthropological...), encouraging a process of mutual learning. GalileoMobile is composed of 15 volunteer team members and more than 40 collaborators from different countries. Since its creation in 2008, we have organised expeditions in Chile, Bolivia and Peru (2009), Bolivia (2012), India (2012) and Uganda (2013), Brazil and Bolivia (2014), Colombia (2014) and extended actions in Portugal (2012, 2013), Nepal (2013), Guatemala (2013), Dominican Republic (2013), the United States (2013) and Haiti (2014). Our initiative for 2015, Constellation (www.constellationproject.org), aimed to establish a South American network of schools committed to the long-term organisation of astronomical outreach activities amongst their pupils and local communities. This project was supported by the Cosmic Light Project of the International Astronomical Union (IAU) and partially funded by the Office for Astronomy Development. In total, we have reached over 15,000 students; 1,400 teachers and 6,000 people in different communities over the past eight years. Our efforts and activities have been shared with the public in over 80 conferences and talks, including a TEDx talk
Baron-Cohen, S; Wheelwright, S; Skinner, R; Martin, J; Clubley, E
2001-02-01
Currently there are no brief, self-administered instruments for measuring the degree to which an adult with normal intelligence has the traits associated with the autistic spectrum. In this paper, we report on a new instrument to assess this: the Autism-Spectrum Quotient (AQ). Individuals score in the range 0-50. Four groups of subjects were assessed: Group 1: 58 adults with Asperger syndrome (AS) or high-functioning autism (HFA); Group 2: 174 randomly selected controls. Group 3: 840 students in Cambridge University; and Group 4: 16 winners of the UK Mathematics Olympiad. The adults with AS/HFA had a mean AQ score of 35.8 (SD = 6.5), significantly higher than Group 2 controls (M = 16.4, SD = 6.3). 80% of the adults with AS/HFA scored 32+, versus 2% of controls. Among the controls, men scored slightly but significantly higher than women. No women scored extremely highly (AQ score 34+) whereas 4% of men did so. Twice as many men (40%) as women (21%) scored at intermediate levels (AQ score 20+). Among the AS/HFA group, male and female scores did not differ significantly. The students in Cambridge University did not differ from the randomly selected control group, but scientists (including mathematicians) scored significantly higher than both humanities and social sciences students, confirming an earlier study that autistic conditions are associated with scientific skills. Within the sciences, mathematicians scored highest. This was replicated in Group 4, the Mathematics Olympiad winners scoring significantly higher than the male Cambridge humanities students. 6% of the student sample scored 32+ on the AQ. On interview, 11 out of 11 of these met three or more DSM-IV criteria for AS/HFA, and all were studying sciences/mathematics, and 7 of the 11 met threshold on these criteria. Test-retest and interrater reliability of the AQ was good. The AQ is thus a valuable instrument for rapidly quantifying where any given individual is situated on the continuum from autism to
Romanello, Alessandro; Trentini, Andrea
2009-01-01
Catalogo dell'esposizione del prezioso patrimonio custodito nella Biblioteca dell'Accademia dei Lincei, costituito da documenti manoscritti riguardanti gli esordi e da libri stampati di Galileo e su Galileo.
Flight of a UV spectrophotometer aboard Galileo 2, the NASA Convair 990 aircraft
Sellers, B.; Hunderwadel, J. L.; Hanser, F. A.
1976-01-01
An ultraviolet interference-filter spectrophotometer (UVS) fabricated for aircraft-borne use on the DOT Climatic Impact Assessment Program (CIAP) has been successfully tested in a series of flights on the NASA Convair 990, Galileo II. UV flux data and the calculated total ozone above the flight path are reported for several of the flights. Good agreement is obtained with the total ozone as deducted by integration of an ozone sonde vertical profile obtained at Wallops Island, Virginia near the time of a CV-990 underpass. Possible advantages of use of the UVS in the NASA Global Atmospheric Sampling Program are discussed.
The four hundred years of planetary science since Galileo and Kepler.
Burns, Joseph A
2010-07-29
For 350 years after Galileo's discoveries, ground-based telescopes and theoretical modelling furnished everything we knew about the Sun's planetary retinue. Over the past five decades, however, spacecraft visits to many targets transformed these early notions, revealing the diversity of Solar System bodies and displaying active planetary processes at work. Violent events have punctuated the histories of many planets and satellites, changing them substantially since their birth. Contemporary knowledge has finally allowed testable models of the Solar System's origin to be developed and potential abodes for extraterrestrial life to be explored. Future planetary research should involve focused studies of selected targets, including exoplanets.
Galileo-invariant theory of low energy pion-nucleus scattering. III
International Nuclear Information System (INIS)
Mach, R.
1983-01-01
Using two versions of the Galileo-invariant optical model, π - - 4 He elastic scattering cross sections were calculated in the energy interval 50 to 260 MeV. Level shifts and widths of several light π-mesoatoms were estimated in the Born approximation. Whereas the (A+1)-body model appears to be more suitable in the resonance region, the two-body model yields surprisingly good results for both the low-energy scattering and the characteristics of π-mesoatoms. (author)
Galileo-invariant theory of low energy pion-nucleus scattering
International Nuclear Information System (INIS)
Mach, R.
1980-01-01
Two classes of Galileo-invariant optical models are constructed for pion elastic scattering by nuclei. The first, the two-body model, has been obtained assuming that the pion-bound nucleon dynamics is determined by the pion-nucleon kinetic energy. In deriving the second model, the (A+1)-body dynamics has been taken into account. The technique of effective nucleon momenta maintains the nonlocal propagation of the pion-target nucleon subsystem through the nucleus in contrast with the standard static approximation
International Nuclear Information System (INIS)
Hribar, F.; Bauer, J.L.; O'Donnell, T.P.
1990-01-01
Several materials and processing methods were evaluated for use on the JPL Galileo spacecraft in the area of radiation shielding for electronics. Development and qualification activities involving an aluminum structural laminate are described. These activities included requirements assessment, design tradeoffs, materials selection, adhesive bonding development, mechanical properties measurements, thermal stability assessment, and nondestructive evaluation. This paper presents evaluation of three adhesives for bonding tantalum to aluminum. The concept of combining a thin sheet of tantalum with two outer aluminum face sheets using adhesive bonding was developed successfully. This radiation shield laminate also provides a structural shear plate for mounting electronic assemblies
Galileo-invariant theory of low energy pion-nucleus scattering. II
International Nuclear Information System (INIS)
Mach, R.
1983-01-01
Two classes of Galileo-invariant optical models are constructed for pion elastic scattering by nuclei. The former, the two-body model, was obtained assuming that the pion-bound nucleon dynamics is determined by the pion-nucleon kinetic energy. In deriving the latter model, the (A+1)-body dynamics was taken into account. The technique of effective nucleon momenta maintains the nonlocal propagation of the pion-target nucleon subsystem through the nucleus in contrast with the standard static approximation. (author)
Positioning performance improvements with European multiple-frequency satellite navigation - Galileo
Ji, Shengyue
2008-10-01
The rapid development of Global Positioning System has demonstrated the advantages of satellite based navigation systems. In near future, there will be a number of Global Navigation Satellite System (GNSS) available, i.e. modernized GPS, Galileo, restored GLONASS, BeiDou and many other regional GNSS augmentation systems. Undoubtedly, the new GNSS systems will significantly improve navigation performance over current GPS, with a better satellite coverage and multiple satellite signal bands. In this dissertation, the positioning performance improvement of new GNSS has been investigated based on both theoretical analysis and numerical study. First of all, the navigation performance of new GNSS systems has been analyzed, particularly for urban applications. The study has demonstrated that Receiver Autonomous Integrity Monitoring (RAIM) performance can be significantly improved with multiple satellite constellations, although the position accuracy improvement is limited. Based on a three-dimensional urban building model in Hong Kong streets, it is found that positioning availability is still very low in high-rising urban areas, even with three GNSS systems. On the other hand, the discontinuity of navigation solutions is significantly reduced with the combined constellations. Therefore, it is possible to use cheap DR systems to bridge the gaps of GNSS positioning, with high accuracy. Secondly, the ambiguity resolution performance has been investigated with Galileo multiple frequency band signals. The ambiguity resolution performance of three different algorithms is compared, including CAR, ILS and improved CAR methods (a new method proposed in this study). For short baselines, with four frequency Galileo data, it is highly possible to achieve reliable single epoch ambiguity resolution, when the carrier phase noise level is reasonably low (i.e. less than 6mm). For long baselines (up to 800 km), the integer ambiguity can be determined within 1 min on average. Ambiguity
Ghedrovici, Vera; Svet, Maria; Matvei, Valeria; Perju, Elena; Sargun, Maria; Netida, Maria
2009-10-01
The calendar represents a few hundreds of biographies of scientists, artists and writers from everywhere, printed in chronological order and adjusted to their birthdays. A number of international and national holydays, including some refering to science are included in the Calendar. A great deffect of the Calendar is the introduction in the list of holydays of the "international day of astrology". Another defect is the absence of the indication of the membership to Communist Parties for persons cited from the former USSR and former Communist Countries. The following physicists, astronomers and mathematicians had biographies in the actual issue: Kon, Lia Z., Arnautov, Vladimir I. (math), Tsukerblat, B., Kapitza, P., Donici (Donitch), N.N., Sklodowska-Curie, Maria, da Vinci, Leonardo, Birkhof, George David, Galilei, Galileo, Pisarzhveskij, Lev (chemist), Mossbauer, Rudolf Ludwig, Clochisner (Klokishner), Sofia I., Miscoi (Mishkoy), Gh. (Math), Mendel, Gregor Lohan (genet.), Glavan, Vasile (math), Chetrus (Ketrush), P. (chem), Bostan, Ion (mech. eng.), Boltzmann, Ludwig Ed.
Galileo multispectral imaging of the north polar and eastern limb regions of the moon
Belton, M.J.S.; Greeley, R.; Greenberg, R.; McEwen, A.; Klaasen, K.P.; Head, J. W.; Pieters, C.; Neukum, G.; Chapman, C.R.; Geissler, P.; Heffernan, C.; Breneman, H.; Anger, C.; Carr, M.H.; Davies, M.E.; Fanale, F.P.; Gierasch, P.J.; Ingersoll, A.P.; Johnson, T.V.; Pilcher, C.B.; Thompson, W.R.; Veverka, J.; Sagan, C.
1994-01-01
Multispectral images obtained during the Galileo probe's second encounter with the moon reveal the compositional nature of the north polar regions and the northeastern limb. Mare deposits in these regions are found to be primarily low to medium titanium lavas and, as on the western limb, show only slight spectral heterogeneity. The northern light plains are found to have the spectral characteristics of highlands materials, show little evidence for the presence of cryptomaria, and were most likely emplaced by impact processes regardless of their age.Multispectral images obtained during the Galileo probe's second encounter with the moon reveal the compositional nature of the north polar regions and the northeastern limb. Mare deposits in these regions are found to be primarily low to medium titanium lavas and, as on the western limb, show only slight spectral heterogeneity. The northern light plains are found to have the spectral characteristics of highlands materials, show little evidence for the presence of cryptomaria, and were most likely emplaced by impact processes regardless of their age.
Comparison of Ultra-Rapid Orbit Prediction Strategies for GPS, GLONASS, Galileo and BeiDou.
Geng, Tao; Zhang, Peng; Wang, Wei; Xie, Xin
2018-02-06
Currently, ultra-rapid orbits play an important role in the high-speed development of global navigation satellite system (GNSS) real-time applications. This contribution focuses on the impact of the fitting arc length of observed orbits and solar radiation pressure (SRP) on the orbit prediction performance for GPS, GLONASS, Galileo and BeiDou. One full year's precise ephemerides during 2015 were used as fitted observed orbits and then as references to be compared with predicted orbits, together with known earth rotation parameters. The full nine-parameter Empirical Center for Orbit Determination in Europe (CODE) Orbit Model (ECOM) and its reduced version were chosen in our study. The arc lengths of observed fitted orbits that showed the smallest weighted root mean squares (WRMSs) and medians of the orbit differences after a Helmert transformation fell between 40 and 45 h for GPS and GLONASS and between 42 and 48 h for Galileo, while the WRMS values and medians become flat after a 42 h arc length for BeiDou. The stability of the Helmert transformation and SRP parameters also confirmed the similar optimal arc lengths. The range around 42-45 h is suggested to be the optimal arc length interval of the fitted observed orbits for the multi-GNSS joint solution of ultra-rapid orbits.
Comparison of Ultra-Rapid Orbit Prediction Strategies for GPS, GLONASS, Galileo and BeiDou
Directory of Open Access Journals (Sweden)
Tao Geng
2018-02-01
Full Text Available Currently, ultra-rapid orbits play an important role in the high-speed development of global navigation satellite system (GNSS real-time applications. This contribution focuses on the impact of the fitting arc length of observed orbits and solar radiation pressure (SRP on the orbit prediction performance for GPS, GLONASS, Galileo and BeiDou. One full year’s precise ephemerides during 2015 were used as fitted observed orbits and then as references to be compared with predicted orbits, together with known earth rotation parameters. The full nine-parameter Empirical Center for Orbit Determination in Europe (CODE Orbit Model (ECOM and its reduced version were chosen in our study. The arc lengths of observed fitted orbits that showed the smallest weighted root mean squares (WRMSs and medians of the orbit differences after a Helmert transformation fell between 40 and 45 h for GPS and GLONASS and between 42 and 48 h for Galileo, while the WRMS values and medians become flat after a 42 h arc length for BeiDou. The stability of the Helmert transformation and SRP parameters also confirmed the similar optimal arc lengths. The range around 42–45 h is suggested to be the optimal arc length interval of the fitted observed orbits for the multi-GNSS joint solution of ultra-rapid orbits.
On the use of history of mathematics: an introduction to Galileo's study of free fall motion
Ponce Campuzano, Juan Carlos; Matthews, Kelly E.; Adams, Peter
2018-05-01
In this paper, we report on an experimental activity for discussing the concepts of speed, instantaneous speed and acceleration, generally introduced in first year university courses of calculus or physics. Rather than developing the ideas of calculus and using them to explain these basic concepts for the study of motion, we led 82 first year university students through Galileo's experiments designed to investigate the motion of falling bodies, and his geometrical explanation of his results, via simple dynamic geometric applets designed with GeoGebra. Our goal was to enhance the students' development of mathematical thinking. Through a scholarship of teaching and learning study design, we captured data from students before, during and after the activity. Findings suggest that the historical development presented to the students helped to show the growth and evolution of the ideas and made visible authentic ways of thinking mathematically. Importantly, the activity prompted students to question and rethink what they knew about speed and acceleration, and also to appreciate the novel concepts of instantaneous speed and acceleration at which Galileo arrived.
Oberle, Crystal D.; McBeath, Michael K.; Madigan, Sean C.; Sugar, Thomas G.
2005-01-01
This research introduces a new naive physics belief, the Galileo bias, whereby people ignore air resistance and falsely believe that all objects fall at the same rate. Survey results revealed that this bias is held by many and is surprisingly strongest for those with formal physics instruction. In 2 experiments, 98 participants dropped ball pairs…
Fisica per poeti lo scienziato come uomo e artista : storia della fisica da Galileo ai giorni nostri
March, Robert H
1994-01-01
Un'intensa lezione di oggettività scientifica attraverso i secoli, alla ricerca delle verità ultime della natura. Da Galileo ad oggi, intuizioni, errori, grandi scoperte dei massimi protagonisti della fisica classica e moderna: la scienza vissuta come un'appassionante avventura.
Marzo, Mar; Puig, Marta; Ruiz, Alfredo
2008-02-26
Galileo is the only transposable element (TE) known to have generated natural chromosomal inversions in the genus Drosophila. It was discovered in Drosophila buzzatii and classified as a Foldback-like element because of its long, internally repetitive, terminal inverted repeats (TIRs) and lack of coding capacity. Here, we characterized a seemingly complete copy of Galileo from the D. buzzatii genome. It is 5,406 bp long, possesses 1,229-bp TIRs, and encodes a 912-aa transposase similar to those of the Drosophila melanogaster 1360 (Hoppel) and P elements. We also searched the recently available genome sequences of 12 Drosophila species for elements similar to Dbuz\\Galileo by using bioinformatic tools. Galileo was found in six species (ananassae, willistoni, peudoobscura, persimilis, virilis, and mojavensis) from the two main lineages within the Drosophila genus. Our observations place Galileo within the P superfamily of cut-and-paste transposons and extend considerably its phylogenetic distribution. The interspecific distribution of Galileo indicates an ancient presence in the genus, but the phylogenetic tree built with the transposase amino acid sequences contrasts significantly with that of the species, indicating lineage sorting and/or horizontal transfer events. Our results also suggest that Foldback-like elements such as Galileo may evolve from DNA-based transposon ancestors by loss of the transposase gene and disproportionate elongation of TIRs.
Indian Academy of Sciences (India)
limits are the same. However, ifXo > 1/3 then Un and Vn would both be decreasing to 2/3 and 1/3 respectively. (Prove this). Finally, note that if Xo = 1/3 then Un .... We will analyze this model and other stochastic generalizations in the next part of this series. Markov Chains. A sequence of random variables {Xn }: is called a ...
Nurturing Young Student Mathematicians
Gavin, M. Katherine; Casa, Tutita M.
2013-01-01
Developing mathematical talent in our students should be of primary consideration in education today as nations respond to the challenges of economic crises and ever-changing technological advances. This paper describes two U.S. federally funded curriculum projects, Project M[superscript 3], Mentoring Mathematical Minds, and Project M[superscript…
Indian Academy of Sciences (India)
etry, statistics. S G Dani is a ..... ratio of two generalized sample variances in a bivariate situation, and the ... cedure for distinguishing between multivariate normal populations. ... conceptual tools to extend traditional techniques in the study of ... through power series ... His work in statistics led Kosambi to the idea of applying.
Brahmagupta, Mathematician Par Excellence
Indian Academy of Sciences (India)
mathematical and scientific activity for the next millen- nium until the Renaissance in ... (BrSpSi XII.38) This sloka describes the method of obtaining a rational cyclic quadrilateral using two nonsimilar rational right triangles. (This seems to be.
Volcanism on Io: The Galileo NIMS Io Thermal Emission Database (NITED)
Davies, A. G.; Veeder, G. J.; Matson, D. L.; Johnson, T. V.
2011-12-01
In order to determine the magnitude of thermal emission from Io's volcanoes and variability with time at local, regional and global scales, we have calculated the 4.7 or 5 μm radiant flux for every hot spot in every Galileo Near Infrared Mapping Spectrometer (NIMS) observation obtained during the Galileo mission between June 1996 and October 2001. The resulting database contains over 1000 measurements of radiant flux, corrected for emission angle, range to target, and, where necessary, incident sunlight. Io's volcanoes produce the most voluminous and most powerful eruptions in the Solar System [1] and NIMS was the ideal instrument for measuring thermal emission from these volcanoes (see [1, 2]). NIMS covered the infrared from 0.7 to 5.2 μm, so measurement of hot spot thermal emission at ~5 μm was possible even in daytime observations. As part of a campaign to quantify magnitude and variability of volcanic thermal emission [1, 3-5] we examined the entire NIMS dataset (196 observations). The resulting NIMS Io Thermal Emission Database (NITED) allows the charting of 5-μm thermal emission at individual volcanoes, identifying individual eruption episodes, and enabling the comparison of activity at different hot spots [e.g., 6] and different regions of Io. Some ionian hot spots were detected only once or twice by NIMS (e.g., Ah Peku Patera, seen during I32), but most were detected many times (e.g., Culann, Tupan and Zamama, [6]). For example, the database contains over 40 observations of Loki Patera (some at high emission angle, and two partial observations). There are 55 observations of Pele. The 27 nighttime observations of Pele show a remarkably steady 5-μm radiant flux of 35 ± 12 GW/μm. There are 34 observations of Pillan, which erupted violently in 1997. Although in many observations low spatial resolution makes it difficult to separate hot spot pairs such as Susanoo Patera and Mulungu Patera; Tawhaki Patera and Hi'iaka Patera; and Janus Patera and Kanehekili
Multi-GNSS phase delay estimation and PPP ambiguity resolution: GPS, BDS, GLONASS, Galileo
Li, Xingxing; Li, Xin; Yuan, Yongqiang; Zhang, Keke; Zhang, Xiaohong; Wickert, Jens
2018-06-01
This paper focuses on the precise point positioning (PPP) ambiguity resolution (AR) using the observations acquired from four systems: GPS, BDS, GLONASS, and Galileo (GCRE). A GCRE four-system uncalibrated phase delay (UPD) estimation model and multi-GNSS undifferenced PPP AR method were developed in order to utilize the observations from all systems. For UPD estimation, the GCRE-combined PPP solutions of the globally distributed MGEX and IGS stations are performed to obtain four-system float ambiguities and then UPDs of GCRE satellites can be precisely estimated from these ambiguities. The quality of UPD products in terms of temporal stability and residual distributions is investigated for GPS, BDS, GLONASS, and Galileo satellites, respectively. The BDS satellite-induced code biases were corrected for GEO, IGSO, and MEO satellites before the UPD estimation. The UPD results of global and regional networks were also evaluated for Galileo and BDS, respectively. As a result of the frequency-division multiple-access strategy of GLONASS, the UPD estimation was performed using a network of homogeneous receivers including three commonly used GNSS receivers (TRIMBLE NETR9, JAVAD TRE_G3TH DELTA, and LEICA). Data recorded from 140 MGEX and IGS stations for a 30-day period in January in 2017 were used to validate the proposed GCRE UPD estimation and multi-GNSS dual-frequency PPP AR. Our results show that GCRE four-system PPP AR enables the fastest time to first fix (TTFF) solutions and the highest accuracy for all three coordinate components compared to the single and dual system. An average TTFF of 9.21 min with 7{°} cutoff elevation angle can be achieved for GCRE PPP AR, which is much shorter than that of GPS (18.07 min), GR (12.10 min), GE (15.36 min) and GC (13.21 min). With observations length of 10 min, the positioning accuracy of the GCRE fixed solution is 1.84, 1.11, and 1.53 cm, while the GPS-only result is 2.25, 1.29, and 9.73 cm for the east, north, and vertical
Lessons learned from the Galileo and Ulysses flight safety review experience
International Nuclear Information System (INIS)
Bennett, Gary L.
1998-01-01
In preparation for the launches of the Galileo and Ulysses spacecraft, a very comprehensive aerospace nuclear safety program and flight safety review were conducted. A review of this work has highlighted a number of important lessons which should be considered in the safety analysis and review of future space nuclear systems. These lessons have been grouped into six general categories: (1) establishment of the purpose, objectives and scope of the safety process; (2) establishment of charters defining the roles of the various participants; (3) provision of adequate resources; (4) provision of timely peer-reviewed information to support the safety program; (5) establishment of general ground rules for the safety review; and (6) agreement on the kinds of information to be provided from the safety review process
Lunar impact basins and crustal heterogeneity: New western limb and far side data from galileo
Belton, M.J.S.; Head, J. W.; Pieters, C.M.; Greeley, R.; McEwen, A.S.; Neukum, G.; Klaasen, K.P.; Anger, C.D.; Carr, M.H.; Chapman, C.R.; Davies, M.E.; Fanale, F.P.; Gierasch, P.J.; Greenberg, R.; Ingersoll, A.P.; Johnson, T.; Paczkowski, B.; Pilcher, C.B.; Veverka, J.
1992-01-01
Multispectral images of the lunar western limb and far side obtained from Galileo reveal the compositional nature of several prominent lunar features and provide new information on lunar evolution. The data reveal that the ejecta from the Orientale impact basin (900 kilometers in diameter) lying outside the Cordillera Mountains was excavated from the crust, not the mantle, and covers pre-Orientale terrain that consisted of both highland materials and relatively large expanses of ancient mare basalts. The inside of the far side South Pole-Aitken basin (>2000 kilometers in diameter) has low albedo, red color, and a relatively high abundance of iron- and magnesium-rich materials. These features suggest that the impact may have penetrated into the deep crust or lunar mantle or that the basin contains ancient mare basalts that were later covered by highlands ejecta.
Galileo PPR at Io: High Resolution Scans Taken in Conjunction with SSA and NIMS Data
Rathbun, J. A.; Spencer, J. R.; Tamppari, L. K.; Martin, T. Z.; Barnard, L.; Travis, L. D.
2003-01-01
The Galileo Photopolarimeter-Radiometer (PPR), when used in the radiometry mode which is most often used at Io, is a long-wavelength infrared single-aperture photometer. It is sensitive to temperatures from about 60 to several hundred K, and is thus useful for studying the volcanoes and background temperatures on Io. PPR can take raster scan images when it is the primary instrument being used (these data were discussed last year, see Rathbun et al., 2002). It can also take data in ride-along mode in conjunction with another remote sensing instrument (either SSI or NIMS) producing one-dimensional temperature scans. The best data of this type were taken during the close approach flybys during orbits I24, I25, I27, I31, I32, and I33 and include measurements of the volcanoes Pele, Prometheus, Pillan, Zamama, Tvashtar, Daedalus, Amarani, Gish Bar, Isum, Emakong, Tupan, and Tohil.
The Tuscan Artist - Images of Galileo in Milton’s works
Directory of Open Access Journals (Sweden)
Toscano Fabio
2004-09-01
Full Text Available In The Areopagitica, his most important work of prose, John Milton mentions Galileo as the illustrious martyr who fought for the freedom of thought. The name of the great scientist is repeated several times in the English poet’s epic masterpiece: Paradise Lost. In three different passages of the poem, Milton in fact celebrates the “Tuscan Artist” and his crucial achievements in astronomy. Nevertheless, in a subsequent passage, the poet addresses the Copernican issue without openly defending the heliocentric theory confirmed by Galileo’s discoveries. In fact, he neither embraces the Copernican system nor the Ptolemaic one, but instead compares them, following a dialectic method where one cannot fail to notice an echo of Galileo’s Dialogue Concerning the two Chief World Systems. Milton’s literary work presents images of astronomy at that time, thus offering a valuable historical example of scientific communication through art.
Further results from PIXE analysis of inks in Galileo's notes on motion
Del Carmine, P.; Giuntini, L.; Hooper, W.; Lucarelli, F.; Mandò, P. A.
1996-06-01
We have recently analysed the inks in some of the folios of Vol. 72 of Manoscritti galileiani, kept at the Biblioteca Nazionale Centrale di Firenze, which contains a collection of loose handwritten sheets containing undated notes, data from experiments and propositions on the problems of motion from different periods of Galileo's life. This paper reports specific results obtained from the analysis of some of these propositions, which allowed to make a contribution to their chronological attribution and therefore to the solution of some historical controversies. Even in the case where the "absolute" chronological attributions could not be made on the basis of comparison with dated documents, the PIXE results provided useful information to deny or confirm the hypothesis that different propositions were written in the same or in different periods.
An enhanced sine dwell method as applied to the Galileo core structure modal survey
Smith, Kenneth S.; Trubert, Marc
1990-01-01
An incremental modal survey performed in 1988 on the core structure of the Galileo spacecraft with its adapters with the purpose of assessing the dynamics of the new portions of the structure is considered. Emphasis is placed on the enhancements of the sine dwell method employed in the test. For each mode, response data is acquired at 32 frequencies in a narrow band enclosing the resonance, utilizing the SWIFT technique. It is pointed out that due to the simplicity of the data processing involved, the diagnostic and modal-parameter data is available within several minutes after data acquisition; however, compared with straight curve-fitting approaches, the method requires more time for data acquisition.
The Argument Form "Appeal to Galileo": A Critical Appreciation of Doury’s Account
Directory of Open Access Journals (Sweden)
Maurice A Finocchiaro
2015-09-01
Full Text Available Following a linguistic-descriptivist approach, Marianne Doury has studied debates about “parasciences” (e.g. astrology, discovering that “parascientists” frequently argue by “appeal to Galileo” (i.e., defend their views by comparing themselves to Galileo and their opponents to the Inquisition; opponents object by criticizing the analogy, charging fallacy, and appealing to counter-examples. I argue that Galilean appeals are much more widely used, by creationists, global-warming skeptics, advocates of “settled science”, great scientists, and great philosophers. Moreover, several subtypes should be distinguished; critiques questioning the analogy are proper; fallacy charges are problematic; and appeals to counter-examples are really indirect critiques of the analogy.
Far infrared filters for the Galileo-Jupiter and other missions
Seeley, J. S.; Hunneman, R.; Whatley, A.
1981-01-01
Progress in the development of FIR multilayer interference filters for the net flux radiometer and photopolarizing radiometer to be carried on board the Galileo mission to Jupiter is reported. The multilayer interference technique has been extended to the region above 40 microns by the use of PbTe/II-VI materials in hard-coated combination, with the thickest layers composed of CdSe QWOT at 74 microns and PbTe QWOT. Improvements have also been obtained in filters below 20 microns on the basis of the Chebyshev stack design. A composite filter cutting on steeply at 40 microns has been designed which employs a thin crystal quartz substrate, shorter wavelength absorption in ZnS and As2S3 thin films, and supplementary multilayer interference. Finally, absorptive filters have been developed based on II-VI compounds in multilayer combination with KRS-5 (or 6) on a KRS-5 (or 6) substrate
Cassini RTG acceptance test results and RTG performance on Galileo and Ulysses
International Nuclear Information System (INIS)
Kelly, C.E.; Klee, P.M.
1997-01-01
Flight acceptance testing has been completed for the RTGs to be used on the Cassini spacecraft which is scheduled for an October 6, 1997 launch to Saturn. The acceptance test program includes vibration tests, magnetic field measurements, mass properties (weight and c.g.) and thermal vacuum test. This paper presents the thermal vacuum test results. Three RTGs are to be used, F-2, F-6, and F-7. F-5 is the backup RTG, as it was for the Galileo and Ulysses missions launched in 1989 and 1990, respectively. RTG performance measured during the thermal vacuum tests carried out at the Mound Laboratory facility met all specification requirements. Beginning of mission (BOM) and end of mission (EOM) power predictions have been made based on these tests results. BOM power is predicted to be 888 watts compared to the minimum requirement of 826 watts. Degradation models predict the EOM power after 16 years is to be 640 watts compared to a minimum requirement of 596 watts. Results of small scale module tests are also shown. The modules contain couples from the qualification and flight production runs. The tests have exceeded 28,000 hours (3.2 years) and are continuing to provide increased confidence in the predicted long term performance of the Cassini RTGs. All test results indicate that the power requirements of the Cassini spacecraft will be met. BOM and EOM power margins of over 5% are predicted. Power output from telemetry for the two Galileo RTGs are shown from the 1989 launch to the recent Jupiter encounter. Comparisons of predicted, measured and required performance are shown. Telemetry data are also shown for the RTG on the Ulysses spacecraft which completed its planned mission in 1995 and is now in the extended mission
BATMAN: a DMD-based multi-object spectrograph on Galileo telescope
Zamkotsian, Frederic; Spano, Paolo; Lanzoni, Patrick; Ramarijaona, Harald; Moschetti, Manuele; Riva, Marco; Bon, William; Nicastro, Luciano; Molinari, Emilio; Cosentino, Rosario; Ghedina, Adriano; Gonzalez, Manuel; Di Marcantonio, Paolo; Coretti, Igor; Cirami, Roberto; Zerbi, Filippo; Valenziano, Luca
2014-07-01
Next-generation infrared astronomical instrumentation for ground-based and space telescopes could be based on MOEMS programmable slit masks for multi-object spectroscopy (MOS). This astronomical technique is used extensively to investigate the formation and evolution of galaxies. We are developing a 2048x1080 Digital-Micromirror-Device-based (DMD) MOS instrument to be mounted on the Galileo telescope and called BATMAN. A two-arm instrument has been designed for providing in parallel imaging and spectroscopic capabilities. The field of view (FOV) is 6.8 arcmin x 3.6 arcmin with a plate scale of 0.2 arcsec per micromirror. The wavelength range is in the visible and the spectral resolution is R=560 for 1 arcsec object (typical slit size). The two arms will have 2k x 4k CCD detectors. ROBIN, a BATMAN demonstrator, has been designed, realized and integrated. It permits to determine the instrument integration procedure, including optics and mechanics integration, alignment procedure and optical quality. First images and spectra have been obtained and measured: typical spot diameters are within 1.5 detector pixels, and spectra generated by one micro-mirror slits are displayed with this optical quality over the whole visible wavelength range. Observation strategies are studied and demonstrated for the scientific optimization strategy over the whole FOV. BATMAN on the sky is of prime importance for characterizing the actual performance of this new family of MOS instruments, as well as investigating the operational procedures on astronomical objects. This instrument will be placed on the Telescopio Nazionale Galileo mid-2015.
Cassini RTG acceptance test results and RTG performance on Galileo and Ulysses
International Nuclear Information System (INIS)
Kelly, C.E.; Klee, P.M.
1997-01-01
Flight acceptance testing has been completed for the RTGs to be used on the Cassini spacecraft which is scheduled for an October 6, 1997 launch to Saturn. The acceptance test program includes vibration tests, magnetic field measurements, properties (weight and c.g.) and thermal vacuum test. This paper presents The thermal vacuum test results. Three RTGs are to be used, F-2, F-6, and F-7. F-5 is tile back-up RTG, as it was for the Galileo and Ulysses missions launched in 1989 and 1990, respectively. RTG performance measured during the thermal vacuum tests carried out at die Mound Laboratory facility met all specification requirements. Beginning of mission (BOM) and end of mission (EOM) power predictions have been made based on than tests results. BOM power is predicted to be 888 watts compared to the minimum requirement of 826 watts. Degradation models predict the EOM power after 16 years is to be 640 watts compared to a minimum requirement of 596 watts. Results of small scale module tests are also showing. The modules contain couples from the qualification and flight production runs. The tests have exceeded 28,000 hours (3.2 years) and are continuing to provide increased confidence in the predicted long term performance of the Cassini RTGs. All test results indicate that the power requirements of the Cassini spacecraft will be met. BOM and EOM power margins of over five percent are predicted. Power output from telemetry for the two Galileo RTGs are shown from the 1989 launch to the recent Jupiter encounter. Comparisons of predicted, measured and required performance are shown. Telemetry data are also shown for the RTG on the Ulysses spacecraft which completed its planned mission in 1995 and is now in the extended mission
Energy Technology Data Exchange (ETDEWEB)
Kohlmann, Martin
2009-07-01
The present text examplifies by means of 60 citations from current textbooks for the study of physics the necessarity of a mathematically rigorous formulation of quantum mechanics. Well known statements of many physicists about quantum mechanics at their mathematical tool kit are commented in form of a dialogue und mathematical points of view. Supplemented are the representations by a selection of theorems of higher analysis relevant for quantum theory. The book applies to mathematicians and mathematically interested physicists or students with founded mathematical knowledge.
2009-10-01
Today marks the beginning of the GalileoMobile Project, a two-month expedition to bring the wonder and excitement of astronomy to young people in Chile, Bolivia and Peru. Supported by ESO and partners, a group of astronomers and educators will travel through a region of the Andes Mountains aboard the GalileoMobile, offering astronomical activities, such as workshops for students and star parties for the general public. Professional filmmakers on the trip will produce a multilingual documentary capturing the thrill of discovery through science, culture and travel. The GalileoMobile is a Special Project of the International Year of Astronomy 2009 (IYA2009), which is a global celebration commemorating the first use of a telescope to view the Universe by the Italian astronomer Galileo four hundred years ago. The project will promote basic science education through astronomy by visiting schools and communities that have limited access to outreach programmes. The GalileoMobile will provide these underserved groups with hands-on activities and educational material from international partners. The van is fully equipped to offer unique sky-observing opportunities for young students and other locals, with star parties at night and solar observations during the day. The team will use various tools including IYA2009's handy Galileoscopes, which will be donated to the schools after the visits. By stimulating curiosity, critical thinking and a sense of wonder and discovery for the Universe and our planet, the GalileoMobile Project aims to encourage interest in astronomy and science, and exchange culturally different visions of the cosmos. Spearheading the initiative is a group of enthusiastic Latin American and European PhD students from the European Southern Observatory, the Max Planck Society, the University Observatory Munich, and the Stockholm University Observatory. This itinerant educational programme is intended to reach about 20 000 people during eight weeks in October
Windecker, Stephan; Tijssen, Jan; Giustino, Gennaro; Guimarães, Ana H. C.; Mehran, Roxana; Valgimigli, Marco; Vranckx, Pascal; Welsh, Robert C.; Baber, Usman; van Es, Gerrit-Anne; Wildgoose, Peter; Volkl, Albert A.; Zazula, Ana; Thomitzek, Karen; Hemmrich, Melanie; Dangas, George D.
2017-01-01
Optimal antithrombotic treatment after transcatheter aortic valve replacement (TAVR) is unknown and determined empirically. The direct factor Xa inhibitor rivaroxaban may potentially reduce TAVR-related thrombotic complications and premature valve failure. GALILEO is an international, randomized,
Directory of Open Access Journals (Sweden)
M. I. Baranov
2015-06-01
Full Text Available Purpose. Short description basic confessedly in the world of scientific achievements and vital fascinations of three prominent mathematicians of modern Kharkov region − Academicians of Pogorelov A.V., Marchenko V.A. and Sadovnichiy V.A. Methodology. Scientific methods of receipt, treatment and systematization of mathematical knowledges. Methods of historical investigations of development in human society of different sections of modern mathematics. Results. Short information is resulted about basic fundamental scientific achievements in the period of 20-21 centuries of the mentioned worldwide known domestic scientists-mathematicians in area of geometry, mathematical physics, theory of partial differential equations, operators, numerical mathematics, mathematical building of complicated processes and mathematical methods of treatment of information. These achievements are considered as a background of past and modern development of mathematical science state in Kharkov. Originality. For the first time in the form of a short scientifically-historical essay by a scientist-electrophysicist using accessible for the wide circle of readers language is present important for a world association scientific achievements in the complicated area of row of modern sections of mathematics, being in basis of practically all of the sciences known us. Practical value. Scientific popularization of modern topical knowledges of humanity in the area of special sections of mathematics, opening of role of personality in development of mathematical science and expansion for the large number of people of the scientific mathematical range of interests.
Marzullo, Giovanni
2018-01-01
-20th century born American scientists and among yet earlier European biologists and mathematicians. Results A group representing 1,925 American scientists showed the SCZ-resistance, GP2-coincident seasonality. However, this effect proved to be mostly due to biologists because biochemists, chemists, and physicists showed gradually less seasonality while mathematicians suggested an altogether artist-like, GP1-coincident seasonality. This intimation of a biologist-mathematician antithesis was pursued with an investigation of most major figures in the history of the two sciences from the 15th to the early-20th century. The two groups, numbering 576 mathematicians and 787 biologists, shared the same mean decade of birth, the 1780s, and essentially the same geographic origin in Western Europe. The mathematicians showed a very significant SCZ liability-like, GP1-coincident seasonality while the biologists showed an even more significant SCZ resistance-like, GP2-coincident seasonality. The latter effect was particularly strong among naturalists, anatomists and other groups representing biological “observationalism” as opposed to “experimentalism.” Discussion The findings are discussed in light of a) new evidence that the annual photoperiod is indeed alone responsible for both peaks of general births, with the GP1 and the GP2 being caused by maternal periconceptional exposure to, respectively, the summer-solstice sunlight maximum and the winter-solstice minimum, and b) an approach/withdrawal theory of lateralization of basic emotions where the left cerebral cortex would handle external stimuli eliciting complacent emotions towards external realities while the right cortex would handle internal stimuli eliciting disdain for those realities.
Directory of Open Access Journals (Sweden)
Ubirajara R. Martins
2010-01-01
Full Text Available Novas espécies descritas do Brasil: Nesozineus amazonicus sp. nov. (Amazonas, Xenofrea diagonalis sp. nov. (Rondônia. Mauesia submetallica sp. nov. (Amazonas; da Bolívia: Psapharochrus nearnsi sp. nov. (Santa Cruz, Adetus basalis, sp. nov. (Santa Cruz, La Paz, Palpicrassus inexpectatus sp. nov. (Santa Cruz, Cyrtinus meridialis sp. nov. (Santa Cruz.. Do Panamá: Aerenea panamensis sp. nov. (Chiriqui. O gênero Palpicrassus Galileo & Martins, 2007, originalmente descrito em Pteropliini é transferido para Apomecynini.New species described from Brazil: Nesozineus amazonicus sp. nov. (Amazonas, Xenofrea diagonalis sp. nov. (Rondônia, Mauesia submetallica sp. nov. (Amazonas; from Bolivia: Psapharochrus nearnsi sp. nov. (Santa Cruz; Adetus basalis sp. nov. (Santa Cruz, La Paz, Palpicrassus inexpectatus sp. nov. (Santa Cruz, Cyrtinus meridialis sp. nov. (Santa Cruz., Aerenea panamensis sp. nov. from Panama (Chiriqui. The genus Palpicrassus Galileo & Martins, 2007, originally described in Pteropliini, is transferred to Apomecynini.
International Nuclear Information System (INIS)
Anderson, J.D.; Lau, E.L.; Turyshev, S.G.; Laing, P.A.; Liu, A.S.; Nieto, M.M.
1998-01-01
Radio metric data from the Pioneer 10/11, Galileo, and Ulysses spacecraft indicate an apparent anomalous, constant, acceleration acting on the spacecraft with a magnitude ∼8.5x10 -8 cm/s 2 , directed towards the Sun. Two independent codes and physical strategies have been used to analyze the data. A number of potential causes have been ruled out. We discuss future kinematic tests and possible origins of the signal. copyright 1998 The American Physical Society
I grandi della fisica da Platone a Heisenberg
Von Weizsäcker, Carl Friedrich
2002-01-01
Parmenide ; Platone ; Aristotele ; Copernico, Keplero, Galilei ; Galileo Galilei ; Cartesio ; Gottfried Wilhelm Leibniz ; Cartesio, Newton, Leibniz, Kant ; Immanuel Kant ; Johann Wolfgang Goethe ; Robert Meyer ; Albert Einstein ; Niels Bohr ; Paul Adrien Maurice Dirac ; Niels Bohr e Werner Heisenberg, un ricordo del 1932 ; Werner Heisenberg ; Heisenberg, fisico e filosofo ; l'interpretazione filosofica della fisica moderna.
Selected properties of GPS and Galileo-IOV receiver intersystem biases in multi-GNSS data processing
International Nuclear Information System (INIS)
Paziewski, Jacek; Sieradzki, Rafał; Wielgosz, Paweł
2015-01-01
Two overlapping frequencies—L1/E1 and L5/E5a—in GPS and Galileo systems support the creation of mixed double-differences in a tightly combined relative positioning model. On the other hand, a tightly combined model makes it necessary to take into account receiver intersystem bias, which is the difference in receiver hardware delays. This bias is present in both carrier-phase and pseudorange observations. Earlier research showed that using a priori knowledge of earlier-calibrated ISB to correct GNSS observations has significant impact on ambiguity resolution and, therefore, precise positioning results. In previous research concerning ISB estimation conducted by the authors, small oscillations in phase ISB time series were detected. This paper investigates this effect present in the GPS–Galileo-IOV ISB time series. In particular, ISB short-term temporal stability and its dependence on the number of Galileo satellites used in the ISB estimation was examined. In this contribution we investigate the amplitude and frequency of the detected ISB time series oscillations as well as their potential source. The presented results are based on real observational data collected on a zero baseline with the use of different sets of GNSS receivers. (paper)
Pollmeier, Vincent M.; Kallemeyn, Pieter H.; Thurman, Sam W.
1993-01-01
The application of high-accuracy S/S-band (2.1 GHz uplink/2.3 GHz downlink) ranging to orbit determination with relatively short data arcs is investigated for the approach phase of each of the Galileo spacecraft's two Earth encounters (8 December 1990 and 8 December 1992). Analysis of S-band ranging data from Galileo indicated that under favorable signal levels, meter-level precision was attainable. It is shown that ranginging data of sufficient accuracy, when acquired from multiple stations, can sense the geocentric angular position of a distant spacecraft. Explicit modeling of ranging bias parameters for each station pass is used to largely remove systematic ground system calibration errors and transmission media effects from the Galileo range measurements, which would otherwise corrupt the angle finding capabilities of the data. The accuracy achieved using the precision range filtering strategy proved markedly better when compared to post-flyby reconstructions than did solutions utilizing a traditional Doppler/range filter strategy. In addition, the navigation accuracy achieved with precision ranging was comparable to that obtained using delta-Differenced One-Way Range, an interferometric measurement of spacecraft angular position relative to a natural radio source, which was also used operationally.
Selected properties of GPS and Galileo-IOV receiver intersystem biases in multi-GNSS data processing
Paziewski, Jacek; Sieradzki, Rafał; Wielgosz, Paweł
2015-09-01
Two overlapping frequencies—L1/E1 and L5/E5a—in GPS and Galileo systems support the creation of mixed double-differences in a tightly combined relative positioning model. On the other hand, a tightly combined model makes it necessary to take into account receiver intersystem bias, which is the difference in receiver hardware delays. This bias is present in both carrier-phase and pseudorange observations. Earlier research showed that using a priori knowledge of earlier-calibrated ISB to correct GNSS observations has significant impact on ambiguity resolution and, therefore, precise positioning results. In previous research concerning ISB estimation conducted by the authors, small oscillations in phase ISB time series were detected. This paper investigates this effect present in the GPS-Galileo-IOV ISB time series. In particular, ISB short-term temporal stability and its dependence on the number of Galileo satellites used in the ISB estimation was examined. In this contribution we investigate the amplitude and frequency of the detected ISB time series oscillations as well as their potential source. The presented results are based on real observational data collected on a zero baseline with the use of different sets of GNSS receivers.
New Style of Volcanic Eruption Activity Identified in Galileo NIMS data at Marduk Fluctus, Io
Davies, A. G.; Davies, R. L.; Veeder, G. J.; de Kleer, K.; De Pater, I.; Matson, D.
2017-12-01
Analysis of observations of Marduk Fluctus, Io, by the Galileo Near Infrared Mapping Spectrometer (NIMS) reveals a style of volcanic activity not previously seen on Io - a very short-duration, highly-changeable, powerful thermal event, similar to what might be expected from a strombolian-like explosion. Marduk Fluctus is a persistent active volcano characterised by ≈3600 km2 of silicate flows [1]. Between 1996 and 2001, NIMS obtained 44 observations of Marduk Fluctus at a wide variety of spatial and spectral resolutions. Six observations were obtained during Galileo orbit E4, with five nighttime observations obtained on 1996 Dec 19 in the space of less than three hours. Three of these observations were each separated by one minute. Compared to the previous observation obtained a few hours earlier, the first two of these three observations show an order of magnitude increase in spectral radiance (corrected for emission angle). Spectral radiance then dropped back to the background level one minute later. The emission angles for these five E4 observations are large (>70°), but even without the emission angle radiance correction the spike in activity is still a factor of five larger than the pre- and post-spike radiances. The NIMS spectrum of the central observation shows a shift in peak of thermal emission to short wavelengths characteristic of the exposure of a large area of incandescent lava. The rapid increase and decrease in activity suggests an equally rapid physical process, the most likely being a large strombolian explosion that generated small clasts that cooled rapidly. The presence of such events provide an additional volcanic process that can be imaged with the intent of determining lava composition from eruption temperature, an important constraint on internal composition and state. For this particular eruption type, eruption temperature can be constrained if non-saturated, multiple-wavelength IR observations are obtained simultaneously and with very
Niemann, H. B.; Atreya, S. K.; Carignan, G. R.; Donahue, T. M.; Haberman, J. A.; Harpold, D. N.; Hartle, R. E.; Hunten, D. M.; Kasprzak, W. T.; Mahaffy, P. R.;
1998-01-01
The Galileo Probe entered the atmosphere of Jupiter on December 7, 1995. Measurements of the chemical and isotopic composition of the Jovian atmosphere were obtained by the mass spectrometer during the descent over the 0.5 to 21 bar pressure region over a time period of approximately 1 hour. The sampling was either of atmospheric gases directly introduced into the ion source of the mass spectrometer through capillary leaks or of gas, which had been chemically processed to enhance the sensitivity of the measurement to trace species or noble gases. The analysis of this data set continues to be refined based on supporting laboratory studies on an engineering unit. The mixing ratios of the major constituents of the atmosphere hydrogen and helium have been determined as well as mixing ratios or upper limits for several less abundant species including: methane, water, ammonia, ethane, ethylene, propane, hydrogen sulfide, neon, argon, krypton, and xenon. Analysis also suggests the presence of trace levels of other 3 and 4 carbon hydrocarbons, or carbon and nitrogen containing species, phosphine, hydrogen chloride, and of benzene. The data set also allows upper limits to be set for many species of interest which were not detected. Isotope ratios were measured for 3He/4He, D/H, 13C/12C, 20Ne/22Ne, 38Ar/36Ar and for isotopes of both Kr and Xe.
Great Physicists - The Life and Times of Leading Physicists from Galileo to Hawking
Cropper, William H.
2004-09-01
Here is a lively history of modern physics, as seen through the lives of thirty men and women from the pantheon of physics. William H. Cropper vividly portrays the life and accomplishments of such giants as Galileo and Isaac Newton, Marie Curie and Ernest Rutherford, Albert Einstein and Niels Bohr, right up to contemporary figures such as Richard Feynman, Murray Gell-Mann, and Stephen Hawking. We meet scientists--all geniuses--who could be gregarious, aloof, unpretentious, friendly, dogged, imperious, generous to colleagues or contentious rivals. As Cropper captures their personalities, he also offers vivid portraits of their great moments of discovery, their bitter feuds, their relations with family and friends, their religious beliefs and education. In addition, Cropper has grouped these biographies by discipline--mechanics, thermodynamics, particle physics, and others--each section beginning with a historical overview. Thus in the section on quantum mechanics, readers can see how the work of Max Planck influenced Niels Bohr, and how Bohr in turn influenced Werner Heisenberg. Our understanding of the physical world has increased dramatically in the last four centuries. With Great Physicists , readers can retrace the footsteps of the men and women who led the way.
Stylianidis, E.; Valaria, E.; Smagas, K.; Pagani, A.; Henriques, J.; Garca, A.; Jimeno, E.; Carrillo, I.; Patias, P.; Georgiadis, C.; Kounoudes, A.; Michail, K.
2016-06-01
There is a continuous and increasing demand for solutions, both software and hardware-based, that are able to productively handle underground utilities geospatial data. Innovative approaches that are based on the use of the European GNSS, Galileo and EGNOS, sensor technologies and LBS, are able to monitor, document and manage utility infrastructures' data with an intuitive 3D augmented visualisation and navigation/positioning technology. A software and hardware-based system called LARA, currently under develop- ment through a H2020 co-funded project, aims at meeting that demand. The concept of LARA is to integrate the different innovative components of existing technologies in order to design and develop an integrated navigation/positioning and information system which coordinates GNSS, AR, 3D GIS and geodatabases on a mobile platform for monitoring, documenting and managing utility infrastruc- tures on-site. The LARA system will guide utility field workers to locate the working area by helping them see beneath the ground, rendering the complexity of the 3D models of the underground grid such as water, gas and electricity. The capacity and benefits of LARA are scheduled to be tested in two case studies located in Greece and the United Kingdom with various underground utilities. The paper aspires to present the first results from this initiative. The project leading to this application has received funding from the European GNSS Agency under the European Union's Horizon 2020 research and innovation programme under grant agreement No 641460.
Directory of Open Access Journals (Sweden)
E. Stylianidis
2016-06-01
Full Text Available There is a continuous and increasing demand for solutions, both software and hardware-based, that are able to productively handle underground utilities geospatial data. Innovative approaches that are based on the use of the European GNSS, Galileo and EGNOS, sensor technologies and LBS, are able to monitor, document and manage utility infrastructures’ data with an intuitive 3D augmented visualisation and navigation/positioning technology. A software and hardware-based system called LARA, currently under develop- ment through a H2020 co-funded project, aims at meeting that demand. The concept of LARA is to integrate the different innovative components of existing technologies in order to design and develop an integrated navigation/positioning and information system which coordinates GNSS, AR, 3D GIS and geodatabases on a mobile platform for monitoring, documenting and managing utility infrastruc- tures on-site. The LARA system will guide utility field workers to locate the working area by helping them see beneath the ground, rendering the complexity of the 3D models of the underground grid such as water, gas and electricity. The capacity and benefits of LARA are scheduled to be tested in two case studies located in Greece and the United Kingdom with various underground utilities. The paper aspires to present the first results from this initiative. The project leading to this application has received funding from the European GNSS Agency under the European Union’s Horizon 2020 research and innovation programme under grant agreement No 641460.
Evidence of a plume on Europa from Galileo magnetic and plasma wave signatures
Jia, Xianzhe; Kivelson, Margaret G.; Khurana, Krishan K.; Kurth, William S.
2018-05-01
The icy surface of Jupiter's moon, Europa, is thought to lie on top of a global ocean1-4. Signatures in some Hubble Space Telescope images have been associated with putative water plumes rising above Europa's surface5,6, providing support for the ocean theory. However, all telescopic detections reported were made at the limit of sensitivity of the data5-7, thereby calling for a search for plume signatures in in-situ measurements. Here, we report in-situ evidence of a plume on Europa from the magnetic field and plasma wave observations acquired on Galileo's closest encounter with the moon. During this flyby, which dropped below 400 km altitude, the magnetometer8 recorded an approximately 1,000-kilometre-scale field rotation and a decrease of over 200 nT in field magnitude, and the Plasma Wave Spectrometer9 registered intense localized wave emissions indicative of a brief but substantial increase in plasma density. We show that the location, duration and variations of the magnetic field and plasma wave measurements are consistent with the interaction of Jupiter's corotating plasma with Europa if a plume with characteristics inferred from Hubble images were erupting from the region of Europa's thermal anomalies. These results provide strong independent evidence of the presence of plumes at Europa.
From Comparison Between Scientists to Gaining Cultural Scientific Knowledge. Leonardo and Galileo
Galili, Igal
2016-03-01
Physics textbooks often present items of disciplinary knowledge in a sequential order of topics of the theory under instruction. Such presentation is usually univocal, that is, isolated from alternative claims and contributions regarding the subject matter in the pertinent scientific discourse. We argue that comparing and contrasting the contributions of scientists addressing similar or the same subject could not only enrich the picture of scientific enterprise, but also possess a special appealing power promoting genuine understanding of the concept considered. This approach draws on the historical tradition from Plutarch in distant past and Koyré in the recent history and philosophy of science. It gains a new support in the discipline-culture structuring of the physics curriculum, seeking cultural content knowledge (CCK) of the subject matter. Here, we address two prominent individuals of Italian Renaissance, Leonardo and Galileo, in their dealing with issues relevant for introductory science courses. Although both figures addressed similar subjects of scientific content, their products were essentially different. Considering this difference is educationally valuable, illustrating the meaning of what students presently learn in the content knowledge of mechanics, optics and astronomy, as well as the nature of science and scientific knowledge.
Mountains on Io: High-resolution Galileo observations, initial interpretations, and formation models
Turtle, E.P.; Jaeger, W.L.; Keszthelyi, L.P.; McEwen, A.S.; Milazzo, M.; Moore, J.; Phillips, C.B.; Radebaugh, J.; Simonelli, D.; Chuang, F.; Schuster, P.; Alexander, D.D.A.; Capraro, K.; Chang, S.-H.; Chen, A.C.; Clark, J.; Conner, D.L.; Culver, A.; Handley, T.H.; Jensen, D.N.; Knight, D.D.; LaVoie, S.K.; McAuley, M.; Mego, V.; Montoya, O.; Mortensen, H.B.; Noland, S.J.; Patel, R.R.; Pauro, T.M.; Stanley, C.L.; Steinwand, D.J.; Thaller, T.F.; Woncik, P.J.; Yagi, G.M.; Yoshimizu, J.R.; Alvarez Del Castillo, E.M.; Beyer, R.; Branston, D.; Fishburn, M.B.; Muller, Birgit; Ragan, R.; Samarasinha, N.; Anger, C.D.; Cunningham, C.; Little, B.; Arriola, S.; Carr, M.H.; Asphaug, E.; Morrison, D.; Rages, K.; Banfield, D.; Bell, M.; Burns, J.A.; Carcich, B.; Clark, B.; Currier, N.; Dauber, I.; Gierasch, P.J.; Helfenstein, P.; Mann, M.; Othman, O.; Rossier, L.; Solomon, N.; Sullivan, R.; Thomas, P.C.; Veverka, J.; Becker, T.; Edwards, K.; Gaddis, L.; Kirk, R.; Lee, E.; Rosanova, T.; Sucharski, R.M.; Beebe, R.F.; Simon, A.; Belton, M.J.S.; Bender, K.; Fagents, S.; Figueredo, P.; Greeley, R.; Homan, K.; Kadel, S.; Kerr, J.; Klemaszewski, J.; Lo, E.; Schwarz, W.; Williams, D.; Williams, K.; Bierhaus, B.; Brooks, S.; Chapman, C.R.; Merline, B.; Keller, J.; Tamblyn, P.; Bouchez, A.; Dyundian, U.; Ingersoll, A.P.; Showman, A.; Spitale, J.; Stewart, S.; Vasavada, A.; Breneman, H.H.; Cunningham, W.F.; Johnson, T.V.; Jones, T.J.; Kaufman, J.M.; Klaasen, K.P.; Levanas, G.; Magee, K.P.; Meredith, M.K.; Orton, G.S.; Senske, D.A.; West, A.; Winther, D.; Collins, G.; Fripp, W.J.; Head, J. W.; Pappalardo, R.; Pratt, S.; Prockter, L.; Spaun, N.; Colvin, T.; Davies, M.; DeJong, E.M.; Hall, J.; Suzuki, S.; Gorjian, Z.; Denk, T.; Giese, B.; Koehler, U.; Neukum, G.; Oberst, J.; Roatsch, T.; Tost, W.; Wagner, R.; Dieter, N.; Durda, D.; Geissler, P.; Greenberg, R.J.; Hoppa, G.; Plassman, J.; Tufts, R.; Fanale, F.P.; Granahan, J.C.
2001-01-01
During three close flybys in late 1999 and early 2000 the Galileo spacecraft ac-quired new observations of the mountains that tower above Io's surface. These images have revealed surprising variety in the mountains' morphologies. They range from jagged peaks several kilometers high to lower, rounded structures. Some are very smooth, others are covered by numerous parallel ridges. Many mountains have margins that are collapsing outward in large landslides or series of slump blocks, but a few have steep, scalloped scarps. From these observations we can gain insight into the structure and material properties of Io's crust as well as into the erosional processes acting on Io. We have also investigated formation mechanisms proposed for these structures using finite-element analysis. Mountain formation might be initiated by global compression due to the high rate of global subsidence associated with Io's high resurfacing rate; however, our models demonstrate that this hypothesis lacks a mechanism for isolating the mountains. The large fraction (???40%) of mountains that are associated with paterae suggests that in some cases these features are tectonically related. Therefore we have also simulated the stresses induced in Io's crust by a combination of a thermal upwelling in the mantle with global lithospheric compression and have shown that this can focus compressional stresses. If this mechanism is responsible for some of Io's mountains, it could also explain the common association of mountains with paterae. Copyright 2001 by the American Geophysical Union.
Evolutionary Aspects for Technology Policy: the Case of Galileo Public-Private Partnership
Zervos, Vasilis
2002-01-01
This paper examines the impact of strategic interactions on Private-Public Partnerships (PPPs) in space. Though there is substantial business and economics literature on PPPs, it is traditionally focused on the relationships within the partnerships (low level) and the respective factors affecting its success. The contribution of this paper is that it examines the political economy of PPPs, analysing how `high-level' strategic interactions across public-private sectors in Europe and the US determine their behaviour and success. Within this context, the European case of Galileo and other national space projects, such as the US plans for a space-based anti- missile defence, are each based on different types of PPPs, confined within the geographical borders of the two areas. The security and commercial benefits of such programmes for the respective space industries and economies have a direct impact on the other area's industry and sense of security. The paper shows that trans- Atlantic cooperation at public policy level is essential to allow the respective industries to explore the benefits of cross-border strategic research partnerships (SRPs). This will reduce the costs of the respective programmes, addressing security concerns.
Optical identifications of celestial high energy sources with the Telescopio Nazionale Galileo
International Nuclear Information System (INIS)
Turriziani, Sara
2012-01-01
To ascertain the nature of celestial high energy sources, it is crucial to identify their optical counterparts. However, the currently available astronomical public optical databases do not provide an adequate support for a systematic high energy sources identification work. In particular, the optical limiting magnitude represents a severe limitation since the deepest flux limits reached by X-ray surveys require of course similarly deeper optical catalogs to homogeneously sample the available parameter space. Nonetheless, dedicated spectroscopic campaigns are being carried out successfully with the Telescopio Nazionale Galileo (TNG), a 4-m class telescope. To set up a winning observational campaign, the first and most important step is to define a strong science case, as it will allow for selections of good targets for observations: the key is to increase the identification efficiency while keeping down the required telescope time. In this context, as the Principal Investigator, I will give an overview of the first spectroscopic campaign carried out at the TNG to identify Swift X-ray serendipitous sources, and I will show the valuable results achieved with only one night of observations. As a second example, I will review the strategy for the northern-sky classification of candidate blazars associated to unidentified Fermi γ-ray sources, and I will show the results coming from the related observational campaign at TNG I have been involved during the last two years.
Evidence of a plume on Europa from Galileo magnetic and plasma wave signatures
Jia, Xianzhe; Kivelson, Margaret G.; Khurana, Krishan K.; Kurth, William S.
2018-06-01
The icy surface of Jupiter's moon, Europa, is thought to lie on top of a global ocean1-4. Signatures in some Hubble Space Telescope images have been associated with putative water plumes rising above Europa's surface5,6, providing support for the ocean theory. However, all telescopic detections reported were made at the limit of sensitivity of the data5-7, thereby calling for a search for plume signatures in in-situ measurements. Here, we report in-situ evidence of a plume on Europa from the magnetic field and plasma wave observations acquired on Galileo's closest encounter with the moon. During this flyby, which dropped below 400 km altitude, the magnetometer8 recorded an approximately 1,000-kilometre-scale field rotation and a decrease of over 200 nT in field magnitude, and the Plasma Wave Spectrometer9 registered intense localized wave emissions indicative of a brief but substantial increase in plasma density. We show that the location, duration and variations of the magnetic field and plasma wave measurements are consistent with the interaction of Jupiter's corotating plasma with Europa if a plume with characteristics inferred from Hubble images were erupting from the region of Europa's thermal anomalies. These results provide strong independent evidence of the presence of plumes at Europa.
Seeger, Raymond J
2013-01-01
Men of Physics: Galileo Galilei, His Life and His Works deals with Galileo Galilei's radical discoveries and trail during the Inquisition. The book describes the life of Galileo and his many interests in art and music, in addition to science. Galileo is born in Pisa in 1564, and at age 25, he is appointed to the Chair of Mathematics at the University of Pisa. He writes several papers, for example, mathematical continuum as contrasted with physical atomism, and investigates the behavior of magnetic poles. He believes in William Gilbert's experiment that the earth itself is a large magnet. He c
2005-01-01
This groundbreaking work features two essays written by the renowned mathematician Ilan Vardi. The first essay presents a thorough analysis of contrived problems suggested to "undesirable" applicants to the Department of Mathematics of Moscow University. His second essay gives an in-depth discussion of solutions to the Year 2000 International Mathematical Olympiad, with emphasis on the comparison of the olympiad problems to those given at the Moscow University entrance examinations. The second part of the book provides a historical background of a unique phenomenon in mathematics, which flourished in the 1970s-80s in the USSR. Specially designed math problems were used not to test students' ingenuity and creativity but, rather, as "killer problems," to deny access to higher education to "undesirable" applicants. The focus of this part is the 1980 essay, "Intellectual Genocide", written by B Kanevsky and V Senderov. It is being published for the first time. Also featured is a little-known page of the Soviet hi...
McGraw, Rebecca; Lynch, Kathleen; Koc, Yusuf; Budak, Ayfer; Brown, Catherine A.
2007-01-01
In this study, we consider the potential of multimedia cases as tools for teacher professional development. Specifically, we examined online and face-to-face discussions that occurred within groups composed of pre-service mathematics teachers, in-service mathematics teachers, mathematicians, and mathematics teacher educators. Discussions within…
The GalileoMobile Project: sharing astronomy with students and teachers around the world
Benitez Herrera, Sandra; Del Sordo, Fabio; Spinelli, Patricia; Ntormousi, Eva
2015-08-01
Astronomy is an inspiring tool that can be used to motivate children to learn more about the world, to encourage critical thinking, and engage them in different scientific disciplines. Although many outreach programs bring astronomy to the classroom, most of them act in developed countries and rely heavily on internet connection. This leaves pupils and teachers in remote areas with little access to the latest space missions and the modern astronomical advances. GalileoMobile is an itinerant astronomy education initiative aiming to bridge this gap by donating educational material and organizing activities, experiments and teacher workshops at schools in rural areas. The initiative is run on a voluntary basis by an international team of astronomers, educators, and science communicators, working together to stimulate curiosity and interest in learning, to exchange different visions of the cosmos and to inspire a feeling of unity "under the same sky" between people from different cultures. Since the creation of the project in 2008, we have travelled to Chile, Bolivia, Peru, India, Uganda, Brazil and Colombia, and worked with about 70 schools. From our experiences, we learnt that 1) bringing experts from other countries is very stimulating for children and encourages a collaboration beyond borders; 2) inquiry-based methods are important for making the learning process more effective; 3) involving local educators in our activities helps the longstanding continuation of the project. We are incorporating these lessons learned into a new concept of the project. Constellation 2015, aims to establish a South American network of schools committed to the long-term organisation of astronomical outreach activities amongst their pupils and local communities. Constellation was declared Cosmic Light Project by the International Year of Light 2015 and awarded funding by the OAD. At this Focus Meeting, we will present the outcomes from our latest expeditions in Brazil and Colombia in
International Nuclear Information System (INIS)
1979-08-01
The results through SIG/Galileo contract close-out of accelerated life testing performed from June 1978 to June 1979 on axially-grooved, copper/water heat pipes are presented. The primary objective of the test was to determine the expected lifetime of axially-grooved copper/water heat pipes. The heat pipe failure rate, due to either a leak or a build-up of non-condensible gas, was determined. The secondary objective of the test was to determine the effects of time and temperature on the thermal performance parameters relevant to long-term (> 50,000 h) operation on a space power generator. The results showed that the gas generation rate appears to be constant with time after an initial sharp rise although there are indications that it drops to approximately zero beyond approx. 2000 h. During the life test, the following pipe-hours were accumulated: 159,000 at 125 0 C, 54,000 at 165 0 C, 48,000 at 185 0 C, and 8500 at 225 0 C. Heated hours per pipe ranged from 1000 to 7500 with an average of 4720. Applying calculated acceleration factors yields the equivalent of 930,000 pipe-h at 125 0 C. Including the accelerated hours on vendor tested pipes raises this number to 1,430,000 pipe-hours at 125 0 C. It was concluded that, for a heat pipe temperature of 125 0 C and a mission time of 50,000 h, the demonstrated heat pipe reliability is between 80% (based on 159,000 actual pipe-h at 125 0 C) and 98% (based on 1,430,000 accelerated pipe-h at 125 0 C). Measurements indicate some degradation of heat transfer with time, but no detectable degradation of heat transport
Svehla, Drazen; Rothacher, Markus; Hugentobler, Urs; Steigenberger, Peter; Ziebart, Marek
2014-05-01
Solar radiation pressure is the main source of errors in the precise orbit determination of GNSS satellites. All deficiencies in the modeling of Solar radiation pressure map into estimated terrestrial reference frame parameters as well as into derived gravity field coefficients and altimetry results when LEO orbits are determined using GPS. Here we introduce a new approach to geometrically map radial orbit perturbations of GNSS satellites using highly-performing clocks on board the first Galileo satellites. Only a linear model (time bias and time drift) needs to be removed from the estimated clock parameters and the remaining clock residuals map all radial orbit perturbations along the orbit. With the independent SLR measurements, we show that a Galileo clock is stable enough to map radial orbit perturbations continuously along the orbit with a negative sign in comparison to SLR residuals. Agreement between the SLR residuals and the clock residuals is at the 1 cm RMS for an orbit arc of 24 h. Looking at the clock parameters determined along one orbit revolution over a period of one year, we show that the so-called SLR bias in Galileo and GPS orbits can be explained by the translation of the determined orbit in the orbital plane towards the Sun. This orbit translation is due to thermal re-radiation and not accounting for the Sun elevation in the parameterization of the estimated Solar radiation pressure parameters. SLR ranging to GNSS satellites takes place typically at night, e.g. between 6 pm and 6 am local time when the Sun is in opposition to the satellite. Therefore, SLR observes only one part of the GNSS orbit with a negative radial orbit error that is mapped as an artificial bias in SLR observables. The Galileo clocks clearly show orbit translation for all Sun elevations: the radial orbit error is positive when the Sun is in conjuction (orbit noon) and negative when the Sun is in opposition (orbit midnight). The magnitude of this artificial negative SLR bias
The Galileo Probe: How it Has Changed Our Understanding of Jupiter
Young, Richard E.
2003-01-01
The Galileo Mission to Jupiter, which arrived in December of 1995, provided the first study by an orbiter, and the first in-situ sampling via an entry probe, of an outer planet atmosphere. The rationale for an entry probe is that, even from an orbiter, remote sensing of the jovian atmosphere could not adequately retrieve the information desired. This paper provides a current summary of the most significant aspects of the data returned from the Galileo entry probe. As a result of the probe measurements, there has been a reassessment of our understanding of outer planet formation and evolution of the solar system. The primary scientific objective of the Galileo probe was to determine the composition of the jovian atmosphere, which from remote sensing remained either very uncertain, or completely unknown, with respect to several key elements. The probe found that the global He mass fraction is. significantly above the value reported from the Voyager Jupiter flybys but is slightly below the protosolar value, implying that there has been some settling of He to the deep jovian interior. The probe He measurements have also led to a reevaluation of the Voyager He mass fraction for Saturn, which is now determined to be much closer to that of Jupiter. The elements C, N, S, Ar, Kr, Xe were all found to have global abundances approximately 3 times their respective solar abundances. This result has raised a number of fundamental issues with regard to properties of planetesimals and the solar nebula at the time of giant planet formation. Ne, on the other hand, was found to be highly depleted, probably as the result of it being carried along with helium as helium settles towards the deep interior. The global abundance of O was not obtained by the probe because of the influence of local processes at the probe entry site (PES), processes which depleted condensible species, in this case H2O, well below condensation levels. Other condensible species, namely NH3 and H2S, were
Doughty, Christopher E; Wolf, Adam
2016-01-01
Sagan et al. (1993) used the Galileo space probe data and first principles to find evidence of life on Earth. Here we ask whether Sagan et al. (1993) could also have detected whether life on Earth had three-dimensional structure, based on the Galileo space probe data. We reanalyse the data from this probe to see if structured vegetation could have been detected in regions with abundant photosynthetic pigments through the anisotropy of reflected shortwave radiation. We compare changing brightness of the Amazon forest (a region where Sagan et al. (1993) noted a red edge in the reflectance spectrum, indicative of photosynthesis) as the planet rotates to a common model of reflectance anisotropy and found measured increase of surface reflectance of 0.019 ± 0.003 versus a 0.007 predicted from only anisotropic effects. We hypothesize the difference was due to minor cloud contamination. However, the Galileo dataset had only a small change in phase angle (sun-satellite position) which reduced the observed anisotropy signal and we demonstrate that theoretically if the probe had a variable phase angle between 0-20°, there would have been a much larger predicted change in surface reflectance of 0.1 and under such a scenario three-dimensional vegetation structure on Earth could possibly have been detected. These results suggest that anisotropic effects may be useful to help determine whether exoplanets have three-dimensional vegetation structure in the future, but that further comparisons between empirical and theoretical results are first necessary.
Directory of Open Access Journals (Sweden)
Christopher E Doughty
Full Text Available Sagan et al. (1993 used the Galileo space probe data and first principles to find evidence of life on Earth. Here we ask whether Sagan et al. (1993 could also have detected whether life on Earth had three-dimensional structure, based on the Galileo space probe data. We reanalyse the data from this probe to see if structured vegetation could have been detected in regions with abundant photosynthetic pigments through the anisotropy of reflected shortwave radiation. We compare changing brightness of the Amazon forest (a region where Sagan et al. (1993 noted a red edge in the reflectance spectrum, indicative of photosynthesis as the planet rotates to a common model of reflectance anisotropy and found measured increase of surface reflectance of 0.019 ± 0.003 versus a 0.007 predicted from only anisotropic effects. We hypothesize the difference was due to minor cloud contamination. However, the Galileo dataset had only a small change in phase angle (sun-satellite position which reduced the observed anisotropy signal and we demonstrate that theoretically if the probe had a variable phase angle between 0-20°, there would have been a much larger predicted change in surface reflectance of 0.1 and under such a scenario three-dimensional vegetation structure on Earth could possibly have been detected. These results suggest that anisotropic effects may be useful to help determine whether exoplanets have three-dimensional vegetation structure in the future, but that further comparisons between empirical and theoretical results are first necessary.
Directory of Open Access Journals (Sweden)
Juan Pablo Botero
2013-12-01
Full Text Available Description of the male of Eburella pinima Martins and notes on the geographical distribution of Eburodacrys aenigma Galileo & Martins and Eburodacrys lanei Zajciw (Coleoptera, Cerambycidae. The male of Eburella pinima Martins, 1997 is described and illustrated for the first time. Information on Eburodacrys aenigma Galileo & Martins, 2006, previously known only from the female holotype, which lacked locality label, is herein complemented. This species is recorded from Brazil and the male is depicted for the first time. The geographical distribution of Eburodacrys lanei Zajciw, 1958 is further restricted here as some previous records are confirmed to result from misidentifications of E. aenigma.
GPS, BDS and Galileo ionospheric correction models: An evaluation in range delay and position domain
Wang, Ningbo; Li, Zishen; Li, Min; Yuan, Yunbin; Huo, Xingliang
2018-05-01
The performance of GPS Klobuchar (GPSKlob), BDS Klobuchar (BDSKlob) and NeQuick Galileo (NeQuickG) ionospheric correction models are evaluated in the range delay and position domains over China. The post-processed Klobuchar-style (CODKlob) coefficients provided by the Center for Orbit Determination in Europe (CODE) and our own fitted NeQuick coefficients (NeQuickC) are also included for comparison. In the range delay domain, BDS total electrons contents (TEC) derived from 20 international GNSS Monitoring and Assessment System (iGMAS) stations and GPS TEC obtained from 35 Crust Movement Observation Network of China (CMONC) stations are used as references. Compared to BDS TEC during the short period (doy 010-020, 2015), GPSKlob, BDSKlob and NeQuickG can correct 58.4, 66.7 and 54.7% of the ionospheric delay. Compared to GPS TEC for the long period (doy 001-180, 2015), the three ionospheric models can mitigate the ionospheric delay by 64.8, 65.4 and 68.1%, respectively. For the two comparison cases, CODKlob shows the worst performance, which only reduces 57.9% of the ionospheric range errors. NeQuickC exhibits the best performance, which outperforms GPSKlob, BDSKlob and NeQuickG by 6.7, 2.1 and 6.9%, respectively. In the position domain, single-frequency stand point positioning (SPP) was conducted at the selected 35 CMONC sites using GPS C/A pseudorange with and without ionospheric corrections. The vertical position error of the uncorrected case drops significantly from 10.3 m to 4.8, 4.6, 4.4 and 4.2 m for GPSKlob, CODKlob, BDSKlob and NeQuickG, however, the horizontal position error (3.2) merely decreases to 3.1, 2.7, 2.4 and 2.3 m, respectively. NeQuickG outperforms GPSKlob and BDSKlob by 5.8 and 1.9% in vertical component, and by 25.0 and 3.2% in horizontal component.
Barros, Rafael C de; Silva, Bianca Piraccini; Julio, Carlos E de Alvarenga
2018-02-05
The genus Antodice Thomson, 1864 was revised by Martins Galileo (1998) and currently includes 27 species (Tavakilian Chevillotte 2017), distributed from Mexico to southern South America. Based on a single female specimen collected in Arroyo Cristal, Ka'azapá, Paraguay, the species Antodice quadrimaculata was first described by Martins Galileo in 2003. The holotype specimen was collected on 20 November 1999 by J. Jensen and is deposited in the Museum of Zoology of the University of São Paulo, Brazil. With the help of Carlos Aguilar, from Paraguay's National Museum of Natural History, we were able to determine the exact location where the holotype was collected. With the collection and the description of the male, presented herein, we describe the male of this species record its occurrence in Brazil, a new country record.We identified this species as belonging to the group of Antodice species with yellowish flagellomeres and a black apex, resembling Antodice venustula Lane, 1973 in its elytral color pattern. In A. venustula, the elytra are covered with whitish pubescence and exhibit only two patches of compact white pubescence. In A. quadrimaculata, according to Martins Galileo (2003), the elytra are of a reddish color with whitish pubescence on the dorsal anterior area and close to the apexes, and they also have three patches of compact white pubescence. The specimens of A. quadrimaculata cited herein were collected in the Iguaçu National Park (Parque Nacional do Iguaçu-PNI), the largest fragment of Atlantic forest in southern Brazil, located in the western region of the state of Paraná. The insects were collected using light traps, set up on nights with a new moon. The artificial light source was a 500-Watt incandescent lamp powered by a Honda EP 2500 generator. Sampling began at 6 p.m., ending between midnight and 3 a.m. the next day. The studied material was deposited in the entomological collection of the Museum of Zoology at the State University of
Kepler observations of Am stars
DEFF Research Database (Denmark)
Balona, L. A.; Ripepi, V.; Cantanzaro, G.
2011-01-01
on observations made with the Italian Telescopio Nazionale Galileo (TNG) operated on the island of La Palma by the Fondación Galileo Galilei of the Istituto Nazionale di Astrofisica (INAF), at the Spanish Observatorio del Roque de los Muchachos of the Instituto de Astrofisica de Canarias, and with the Mercator...
Li, Xingxing; Zhang, Xiaohong; Ren, Xiaodong; Fritsche, Mathias; Wickert, Jens; Schuh, Harald
2015-02-09
The world of satellite navigation is undergoing dramatic changes with the rapid development of multi-constellation Global Navigation Satellite Systems (GNSSs). At the moment more than 70 satellites are already in view, and about 120 satellites will be available once all four systems (BeiDou + Galileo + GLONASS + GPS) are fully deployed in the next few years. This will bring great opportunities and challenges for both scientific and engineering applications. In this paper we develop a four-system positioning model to make full use of all available observations from different GNSSs. The significant improvement of satellite visibility, spatial geometry, dilution of precision, convergence, accuracy, continuity and reliability that a combining utilization of multi-GNSS brings to precise positioning are carefully analyzed and evaluated, especially in constrained environments.
Directory of Open Access Journals (Sweden)
Arnaut Dierck
2015-01-01
Full Text Available Designing textile antennas for real-life applications requires a design strategy that is able to produce antennas that are optimized over a wide bandwidth for often conflicting characteristics, such as impedance matching, axial ratio, efficiency, and gain, and, moreover, that is able to account for the variations that apply for the characteristics of the unconventional materials used in smart textile systems. In this paper, such a strategy, incorporating a multiobjective constrained Pareto optimization, is presented and applied to the design of a Galileo E6-band antenna with optimal return loss and wide-band axial ratio characteristics. Subsequently, different prototypes of the optimized antenna are fabricated and measured to validate the proposed design strategy.
Xu, Weiyi; Wan, Feng; Lou, Yufeng; Jin, Jiali; Mao, Weilin
2014-01-01
A number of automated devices for pretransfusion testing have recently become available. This study evaluated the Immucor Galileo System, a fully automated device based on the microplate hemagglutination technique for ABO/Rh (D) determinations. Routine ABO/Rh typing tests were performed on 13,045 samples using the Immucor automated instruments. Manual tube method was used to resolve ABO forward and reverse grouping discrepancies. D-negative test results were investigated and confirmed manually by the indirect antiglobulin test (IAT). The system rejected 70 tests for sample inadequacy. 87 samples were read as "No-type-determined" due to forward and reverse grouping discrepancies. 25 tests gave these results because of sample hemolysis. After further tests, we found 34 tests were caused by weakened RBC antibodies, 5 tests were attributable to weak A and/or B antigens, 4 tests were due to mixed-field reactions, and 8 tests had high titer cold agglutinin with blood qualifications which react only at temperatures below 34 degrees C. In the remaining 11 cases, irregular RBC antibodies were identified in 9 samples (seven anti-M and two anti-P) and two subgroups were identified in 2 samples (one A1 and one A2) by a reference laboratory. As for D typing, 2 weak D+ samples missed by automated systems gave negative results, but weak-positive reactions were observed in the IAT. The Immucor Galileo System is reliable and suited for ABO and D blood groups, some reasons may cause a discrepancy in ABO/D typing using a fully automated system. It is suggested that standardization of sample collection may improve the performance of the fully automated system.
The artist and the mathematician
Aczel, Amir D
2009-01-01
Nicolas Bourbaki, whose mathematical publications began to appear in the late 1930s and continued to be published through most of the twentieth century, was a direct product as well as a major force behind an important revolution that took place in the early decades of the twentieth century that completely changed Western culture.Pure mathematics, the area of Bourbaki's work, seems on the surface to be an abstract field of human study with no direct connection with the real world. In reality, however, it is closely intertwined with the general culture that surrounds it. Major developments in m
Teach the Mathematics of Mathematicians
Directory of Open Access Journals (Sweden)
Peter Taylor
2018-04-01
Full Text Available The secondary-school mathematics curriculum is narrow in scope and technical in character; this is quite different from the nature of the discipline itself. As a result, it offers little inspiration to both students and teachers, and provides students with poor preparation for university mathematics courses and indeed for life. Over the past century, recently more than ever, there have been calls for change, for a curriculum that is true to the subject of mathematics as the creation and study of patterns and structures. While there are hopeful responses to this at the elementary level, there is almost nothing at the secondary level. Ironically, it is felt that in order to prepare students for university calculus, the secondary curriculum simply has to be what it is. This is a special case of a myth that needs to be destroyed.
A mathematician in every life...
Indian Academy of Sciences (India)
Lawrence
Iwas born in a small village near Ambala. My father was a freedom fighter. My mother though not formally educated, was extremely hard working and took keen interest in the study of her children. She was a pillar of strength for me till the end of her life in 2001. Though I was not educated with the goal of a career, yet my ...
Experimental history: swinging pendulums and melting shellac.
Palmieri, Paolo
2009-09-01
Four hundred years ago Galileo Galilei aimed a telescope at the sky. He revolutionized astronomy. Equally revolutionary were his experiments in physics. Unlike his astronomical observations the experiments remain difficult to understand and replicate even today. Two centuries after Galileo, Augustin Coulomb demonstrated experimentally the law of electrostatic force. It has never been successfully replicated. Yet both Galileo and Coulomb were exquisite experimentalists. The fact is that revolutionary experiments in physics are never finished. They are open for investigation for generations to come.
Directory of Open Access Journals (Sweden)
Circe Mary Silva da Silva
2009-12-01
Full Text Available Apresenta-se o papel desempenhado pelo Instituto de Matemática Pura e Aplicada, criado em 1952 pelo Conselho Nacional de Desenvolvimento Científico e Tecnológico, na formação de pesquisadores matemáticos no país. Mostra-se como este instituto, bem como a matemática ali produzida, serviram para a formação do campo científico de matemáticos no Brasil. Os principais resultados apontam para: a consolidação de linhas de pesquisa em Sistemas Dinâmicos, Álgebra, Análise Matemática, Geometria Diferencial e Estatística Matemática; a preocupação de formar pesquisadores para atender as demandas de quadros docentes das universidades brasileiras, produzir matemática e recrutar alunos "talentosos" visando garantir a formação de pesquisadores e a produção de matemática de qualidade. A rede de influências estabelecida pelos pesquisadores do instituto extrapolou seus limites, uma vez que os líderes ocupavam posições importantes nos órgãos de fomento e em outras instituições e sociedades intelectuais. O discurso dos pesquisadores revela a hierarquia acadêmica e o corporativismo reinante na instituição assim como seu prestígio na comunidade científica.This article presents the role played by the Institute of Pure and Applied Mathematics - Impa -, created in 1952 by the National Council for Scientific and Technological Development, in the education of researchers in mathematics in Brazil. It shows how this Institute, as well as the knowledge of mathematics it produced, contributed to build the scientific field of mathematicians in the country. Its main results indicate the consolidation of lines of research such as Dynamic Systems, Algebra, Mathematical Analysis, Differential Geometry, and Mathematical Statistics, as well as a concern about the education of researchers to meet the demands of the teaching staff of Brazilian universities, to produce mathematics and recruit "talented" students to ensure the education of
Galileo, Maria Helena M; Martins, Ubirajara R; Santos-Silva, Antonio
2015-07-17
Six new species and one new genus are described: Criodion spinosum sp. nov. (Cerambycini), from Bolivia; Eburodacrys wappesi sp. nov. and Eburodacrys skillmani sp. nov. (Eburiini), from Bolivia; Eupempelus rileyorum sp. nov. (Heteropsini) from Panama; Sphalloeme mexicana sp. nov. (Oemini), from Mexico; Wappesoeme camiri sp. nov., new genus (Oemini), from Bolivia. Wappesoeme, Eburodacrys wappesi, E. skillmani, Eupempelus rileyorum, and Criodion spinosum are included in previously published keys. Anelaphus erakyra nomen novum for A. maculatus Galileo et al., 2014 is established.
Pozzobon, Oscar; Fantinato, Samuele; Dalla Chiara, Andrea; Gamba, Giovanni; Crisci, Massimo; Giordana, Pietro; Enderle, Werner; Chelmins, David; Sands, Obed S.; Clapper, Carolyn J.;
2016-01-01
The Space Communications and Navigation (SCaN) is a facility developed by NASA and hosted on board the International Space Station (ISS) on an external truss since 2013.It has the objective of testing navigation and communication experimentations with a Software Defined Radio (SDR) approach, which permits software updates for testing new experimentations.NASA has developed the Space Telecommunications Radio System (STRS) architecture standard for SDRs used in space and ground-based platforms to provide commonality among radio developments to provide enhanced capability. The hardware is equipped with both L band front-end radios and the NASA space network communicates with it using S-band, Ku-band and Ka-band links.In May 2016 Qascom started GARISS (GPS and Galileo Receiver for the ISS), an activity of experimentation in collaboration with ESA and NASA that has the objective to develop and validate the acquisition and processing of combined GPS and Galileo signals on board the ISS SCaN testbed. This paper has the objective to present the mission, and provide preliminary details about the challenges in the design, development and verification of the waveform that will be installed on equipment with limited resources. GARISS is also the first attempt to develop a waveform for the ISS as part of an international collaboration between US and Europe. Although the final mission objective is to target dual frequency processing, initial operations will foresee a single frequency processing. Initial results and trade-off between the two options, as well as the final decision will be presented and discussed. The limited resources on board the SCaN with respect to the challenging requirements to acquire and track contemporaneously two satellite navigation systems, with different modulations and data structure, led to the need to assess the possibility of aiding from ground through the S-band. This option would allow assistance to the space receiver in order to provide
Final safety analysis report for the Galileo mission: Volume 3 (Book 2), Nuclear risk analysis document: Appendices: Revision 1
Energy Technology Data Exchange (ETDEWEB)
1989-01-25
It is the purpose of the NRAD to provide an analysis of the range of potential consequences of accidents which have been identified that are associated with the launching and deployment of the Galileo mission spacecraft. The specific consequences analyzed are those associated with the possible release of radioactive material (fuel) of the Radioisotope Thermoelectric Generators (RTGs). They are in terms of radiation doses to people and areas of deposition of radioactive material. These consequence analyses can be used in several ways. One way is to identify the potential range of consequences which might have to be dealt with if there were to be an accident with a release of fuel, so as to assure that, given such an accident, the health and safety of the public will be reasonably protected. Another use of the information, in conjunction with accident and release probabilities, is to estimate the risks associated with the mission. That is, most space launches occur without incident. Given an accident, the most probable result relative to the RTGs is complete containment of the radioactive material. Only a small fraction of accidents might result in a release of fuel and subsequent radiological consequences. The combination of probability with consequence is risk, which can be compared to other human and societal risks to assure that no undue risks are implied by undertaking the mission. Book 2 contains eight appendices.
Near real-time PPP-based monitoring of the ionosphere using dual-frequency GPS/BDS/Galileo data
Liu, Zhinmin; Li, Yangyang; Li, Fei; Guo, Jinyun
2018-03-01
Ionosphere delay is very important to GNSS observations, since it is one of the main error sources which have to be mitigated even eliminated in order to determine reliable and precise positions. The ionosphere is a dispersive medium to radio signal, so the value of the group delay or phase advance of GNSS radio signal depends on the signal frequency. Ground-based GNSS stations have been used for ionosphere monitoring and modeling for a long time. In this paper we will introduce a novel approach suitable for single-receiver operation based on the precise point positioning (PPP) technique. One of the main characteristic is that only carrier-phase observations are used to avoid particular effects of pseudorange observations. The technique consists of introducing ionosphere ambiguity parameters obtained from PPP filter into the geometry-free combination of observations to estimate ionospheric delays. Observational data from stations that are capable of tracking the GPS/BDS/GALILEO from the International GNSS Service (IGS) Multi-GNSS Experiments (MGEX) network are processed. For the purpose of performance validation, ionospheric delays series derived from the novel approach are compared with the global ionospheric map (GIM) from Ionospheric Associate Analysis Centers (IAACs). The results are encouraging and offer potential solutions to the near real-time ionosphere monitoring.
Spotlight on unmet needs in stroke prevention: The PIONEER AF-PCI, NAVIGATE ESUS and GALILEO trials.
Hemmrich, Melanie; Peterson, Eric D; Thomitzek, Karen; Weitz, Jeffrey I
2016-09-28
Atrial fibrillation (AF) is a major healthcare concern, being associated with an estimated five-fold risk of ischaemic stroke. In patients with AF, anticoagulants reduce stroke risk to a greater extent than acetylsalicylic acid (ASA) or dual antiplatelet therapy (DAPT) with ASA plus clopidogrel. Non-vitamin K antagonist oral anticoagulants (NOACs) are now a widely-accepted therapeutic option for stroke prevention in non-valvular AF (NVAF). There are particular patient types with NVAF for whom treatment challenges remain, owing to sparse clinical data, their high-risk nature or a need to harmonise anticoagulant and antiplatelet regimens if co-administered. This article focuses on three randomised controlled trials (RCTs) that are investigating the utility of rivaroxaban, a direct, oral, factor Xa inhibitor, in additional areas of stroke prevention where data for anticoagulants are lacking: oPen-label, randomized, controlled, multicentre study explorIng twO treatmeNt stratEgiEs of Rivaroxaban and a dose-adjusted oral vitamin K antagonist treatment (PIONEER AF-PCI); New Approach riVaroxoban Inhibition of factor Xa in a Global trial vs Aspirin to prevenT Embolism in Embolic Stroke of Undetermined Source (NAVIGATE ESUS); and Global study comparing a rivAroxaban-based antithrombotic strategy to an antipLatelet-based strategy after transcatheter aortIc vaLve rEplacement to Optimize clinical outcomes (GALILEO). Data from these studies present collaborative efforts to build upon existing registrational Phase III data for rivaroxaban, driving the need for effective and safe treatment of a wider range of patients for stroke prevention.
Directory of Open Access Journals (Sweden)
Gian Carlo Delgado Ramos
2007-11-01
Full Text Available Ce sont trois les acteurs qu'on peut identifier dans le développement scientifico-technologique: l'État nation, les sociétés multinationales et les centres de production de connaissances. Leur interaction et synergie pour le développement endogène de technologie civil et militaire sont bien ancrés dans les États capitalistes centraux. Il est possible d'identifier, à partir de cette perspective de synergie que je désigne comme « réseau industriel », une croissante militarisation du « réseau industriel européen » comme le résultat d'une profonde rivalité intercapitaliste (surtout à l'égard des États-Unis. Une évaluation sociologique du rôle des principaux acteurs, ainsi que des conséquences importantes sont présentés de manière générale, pour le cas du secteur militaire et de la défense et, particulièrement, pour le système du satellite Galileo. On examine certaines caractérisques de la compétence entre les systèmes du satellite Galileo (Europe, le GPS (États- Unis, le Glonass (Russie et le Beidou (Chine. De toute façon, nous proposons une discussion sur le rôle à jouer par l'Amérique du Sud, surtout le Brésil, dans le processus de développement de Galileo.
Froehlich, Annette
2010-04-01
The two European flagship space projects, Galileo and GMES, clearly show that the current existing legal rules of the two organisations involved (European Union and European Space Agency) are not compatible. Moreover, it is quite impossible to implement a common project if every single organisation insists on the application of its own rules strictu sensu. Nevertheless, due to the political desire to advance these projects rapidly and to make them a success, legal obstacles were to be overcome. Consequently, recently concluded agreements between ESA and the EU-Commission concerning the financial and governmental matters of the Galileo and GMES implementation feature a new approach to cooperation between these two organisations. However, the question remains if they can be taken as precedence for a future institutionalised cooperation? It follows that the agreements have to be analysed in order to understand how a mutually acceptable agreement was reached despite the disparity in the rules of both organisations. In this regard, especially the financial decision agreement concerning Galileo in December 2007 shows a very interesting and unique way in applying EU-competition law. In the same way, the GMES-Delegation Agreement of spring 2008 is a good example of how two different legal systems can be applied to make a project success. Additionally, the reasons and arguments of both organisations have to be considered, especially once the Treaty of Lisbon will be in force. As these two main projects of the European Space Policy are characterized by the desire for a successful European cooperation, they can be regarded as an important step forward for a new legal approach. A new system emerges which could be taken into consideration for further common projects undertaken by ESA and the EU.
H. S. group: its algebra and its Galilei limit
Energy Technology Data Exchange (ETDEWEB)
De Ritis, R [Naples Univ. (Italy). Istituto di Fisica; Franchini, L [Dipartimento di Matematica dell' Universita della Calabria, Cosenza; Platania, G [Osservatorio Astronomico di Capodimonte, Naples (Italy)
1976-08-11
The infinitesimal generators of the invariance group suitable for the study of Newtonian cosmology are calculated. They form an infinite-dimensional Lie algebra, which is also studied in some particular limits.
Swimm, R.; Garrett, H. B.; Jun, I.; Evans, R. W.
2004-12-01
In this study we examine ten-minute omni-directional averages of energetic electron data measured by the Galileo spacecraft Energetic Particle Detector (EPD). Count rates from electron channels B1, DC2, and DC3 are evaluated using a power law model to yield estimates of the differential electron fluxes from 1 MeV to 11 MeV at distances from the planet Jupiter from 8 to 28 Jupiter radii. Whereas the orbit of the Galileo spacecraft remained close to the rotational equatorial plane of Jupiter, the approximately 11 degree tilt of the magnetic axis of Jupiter relative to its rotational axis allowed the EPD instrument to sample high energy electrons at limited distances normal to the magnetic equatorial plane. We present a Fourier analysis of the semi-diurnal variation of electron radiation with longitude. We also develop a model of the electron flux with respect to distance normal to the magnetic equatorial plane as a function of the distance from Jupiter.
Ucke, C.; Schlichting, H. J.
2017-01-01
This relatively rare thermometer has a rather unusual display: lower temperatures are located at the top of the scale, higher ones at the bottom. A sphere on a chain floats in a suitable liquid, sinking at high temperatures when the density of the liquid decreases and rising in the increased density at low temperatures. With reasonable effort and…
2007-11-01
public bodies like university and research institutes. The user community analysis also includes a market analysis performed by a specialized company to... companies and public institutions (e.g., universities, research laboratories) that work in several different application domains in order to virtually...Summary of application domains for the use of time in cryptography. B2G B2B B2C Applications Military waypoints, judicial reports, construction
2007-04-01
some of their data, others employ different techniques. United States defense contractor Lockheed Martin developed an anti-jam GPS receiver in 2000 for...Europe in a New Generation of Satellite Navigation Services,” European Commission (9 Feb 1999): 16. 25. Ibid. 26. Anne Jolis , “Problems Run Rampant...European Outer Space,” Euro Topics (19 March 2007), found at http://www.eurotopics.net/en/presseschau/archiv/archiv_dossier/DOSSIER15435. 40. Jolis
Arnone, Stefano; Moauro, Francesco; Siccardi, Matteo
2017-01-01
The year 2014 marked the four-hundred-and-fiftieth anniversary of Galileo’s birth, making it the perfect occasion to present and illustrate a GeoGebra applet which reproduces some of Galileo’s celebrated experiments on the uniformly accelerated motion, as reported on in ‘Discourses and Mathematical Demonstrations Relating to Two New Sciences’. Our applet is inexpensive, makes up for the lack of a fully-fledged physics lab and can be used as an accompanying activity in an (open) online course. The version we present allows for an ‘empirical’ test of three of the most relevant theorems in the third day of Galileo’s Discourses. By three different experimental setups, students can see a ball roll down a slope, take measures and perform data analysis, following Galileo’s footsteps. The applet is made freely available on the internet, so it can be downloaded and modified to cater for different students’ needs.
de Pater, Imke
2015-11-01
We present highlights of our observations of Pele and Pillan on Io, and a multi-decade timeline of thermal emission intensities in both regions. Io was regularly observed by Galileo NIMS during 1996-2001. Since 2001 the satellite has been imaged semi-regularly with NIRC2, coupled to an adaptive optics system, on the 10-m Keck telescope. In 1997, Galileo NIMS observed a large and highly-variable eruption close to Pillan Mons; this eruption lasted several months [1]. Since that time no eruptions had been seen (but time coverage was scarce), until our Keck images on 14 August 2007 revealed an active and highly-energetic eruption at a location close to that of the 1997 eruptions. A one-temperature blackbody fit to the data revealed a (blackbody) temperature of 840 ± 40 K over an area of 17 km2, with a total power output of ~500 GW. Using Davies’ (1996) Io Flow Model [2] we find that the oldest lava present is less than 1-2 hours old, having cooled down from the eruption temperature of >1400 K to ~710 K. This young, hot lava suggests that an episode of lava fountaining was underway. Since 2007, several eruptions have been seen in the Pillan region. The 18 February 2015 eruption was discovered during a mutual occultation event with the NASA IRTF. This event was (serendipitously) subsequently imaged with the Large Binocular Telescope Interferometer (LBTI) on 8 March 2015 during a mutual event occultation, and again with the IRTF on 15 March. The site was imaged with the Keck and Gemini-N telescopes between 27 March and May 5, during which time the intensity gradually decreased. Interestingly, the precise location of the eruption had shifted to the north-west from Pillan Patera, where the initial (18 Feb) eruption had taken place. In contrast to the episodicity of Pillan, Pele has been remarkably consistent in its thermal emission during the Galileo era [1] through February 2002, when a blackbody temperature of 940 ± 40 K and an area of 6.5 km2 was measured. Since that
Davies, A. G.
2002-12-01
Galileo Near Infrared Mapping Spectrometer (NIMS) data show that the active ionian volcanoes Prometheus and Amirani have significant thermal emission in excess of non-volcanic background emission in every geometrically appropriate NIMS observation. The 5 μm brightness of these volcanoes shows considerable variation from orbit to orbit. Like the flank eruptions on Kilauea, Hawai'i, which began in 1983, these ionian volcanoes exhibit periods of elevated activity. A study of the 5 μm thermal emission in all low-spatial resolution NIMS observations (both night and day-time) from June 1996 (Orbit G1) to May 2001 (Orbit C30) shows that the Prometheus thermal output (uncorrected for emission angle, e) ranges from 4 to 21 GW/μm, and Amirani shows greater variations, from 4 to 31 GW/μm. Correcting all thermal outputs for observations where estandard deviation of 7.3 GW/μm) and a larger average Amirani thermal output of 44 GW/μm (standard deviation of 26 GW/μm). Prometheus showed its greatest e-corrected thermal emission during November 1997 (33 GW/μm), more than four times that seen in June 1996 (orbit G1; see Davies et al., 2000, Icarus, 148, 212-225) and Amirani showed its greatest thermal emission during May 1997 (orbit G8), nearly 100 GW/μm, nearly five times that seen during orbit G1. Prometheus and Amirani spectra obtained at night show that the overall spectral shape of the thermal emission from 2 to 5 μm does not greatly change. The style of eruption is not resulting in disproportionately large areas at very high temperatures in relation to cooler crustal areas, such as seen at Pillan in 1997 and at Pele, indicating that the style of eruption is not changing, just the areal extent of activity. Scaling magma eruption rates derived from G1 NIMS data yields maximum and average volumetric eruption rates of 337 and 154 m3 s-1 for Amirani, and 128 and 52 m3 s-1 for Prometheus. The style and behavior of eruptions at Prometheus and Amirani are apparently very like
Allison, Michael; Atkinson, David H.; Hansen, James E. (Technical Monitor)
2001-01-01
Doppler radio tracking of the Galileo probe-to-orbiter relay, previously analyzed for its in situ measure of Jupiter's zonal wind at the equatorial entry site, also shows a record of significant residual fluctuations apparently indicative of varying vertical motions. Regular oscillations over pressure depth in the residual Doppler measurements of roughly 1-8 Hz (increasing upward), as filtered over a 134 sec window, are most plausibly interpreted as gravity waves, and imply a weak, but downward increasing static stability within the 5 - 20 bar region of Jupiter's atmosphere. A matched extension to deeper levels of an independent inertial stability constraint from the measured vertical wind shear at 1 - 4 bars is roughly consistent with a static stability of approximately 0.5 K/km near the 20 bar level, as independently detected by the probe Atmospheric Structure Instrument.
Windecker, Stephan; Tijssen, Jan; Giustino, Gennaro; Guimarães, Ana H C; Mehran, Roxana; Valgimigli, Marco; Vranckx, Pascal; Welsh, Robert C; Baber, Usman; van Es, Gerrit-Anne; Wildgoose, Peter; Volkl, Albert A; Zazula, Ana; Thomitzek, Karen; Hemmrich, Melanie; Dangas, George D
2017-02-01
Optimal antithrombotic treatment after transcatheter aortic valve replacement (TAVR) is unknown and determined empirically. The direct factor Xa inhibitor rivaroxaban may potentially reduce TAVR-related thrombotic complications and premature valve failure. GALILEO is an international, randomized, open-label, event-driven, phase III trial in more than 1,520 patients without an indication for oral anticoagulation who underwent a successful TAVR (ClinicalTrials.govNCT02556203). Patients are randomized (1:1 ratio), 1 to 7days after a successful TAVR, to either a rivaroxaban-based strategy or an antiplatelet-based strategy. In the experimental arm, subjects receive rivaroxaban (10mg once daily [OD]) plus acetylsalicylic acid (ASA, 75-100mg OD) for 90days followed by rivaroxaban alone. In the control arm, subjects receive clopidogrel (75mg OD) plus ASA (as above) for 90days followed by ASA alone. In case new-onset atrial fibrillation occurs after randomization, full oral anticoagulation will be implemented with maintenance of the original treatment assignment. The primary efficacy end point is the composite of all-cause death, stroke, myocardial infarction, symptomatic valve thrombosis, pulmonary embolism, deep venous thrombosis, and systemic embolism. The primary safety end point is the composite of life-threatening, disabling, and major bleeding, according to the Valve Academic Research Consortium definitions. GALILEO will test the hypothesis that a rivaroxaban-based antithrombotic strategy reduces the risk of thromboembolic complications post-TAVR with an acceptable risk of bleeding compared with the currently recommended antiplatelet therapy-based strategy in subjects without need of chronic oral anticoagulation. Copyright © 2016 The Authors. Published by Elsevier Inc. All rights reserved.
Cartlidge, Edwin
2009-05-01
When Galileo Galilei was being grilled by the Inquisition in 1633, he used a memorable phrase to explain why he felt that the Copernican Sun-centred world view was not at odds with Christianity. "Scripture is intended to teach us how to go to heaven, and not how the heavens go," he said. Galileo, in other words, thought that people should look to the Bible for salvation and not for an explanation of the natural world.
Resonance – Journal of Science Education | Indian Academy of ...
Indian Academy of Sciences (India)
Home; Journals; Resonance – Journal of Science Education. C S Yogananda. Articles written in Resonance – Journal of Science Education. Volume 1 Issue 1 January 1996 ... Galileo Galilei: Father of Modern Science · C S Yogananda · More Details Fulltext PDF. Volume 6 Issue 9 September 2001 pp 1-2 Editorial. Editorial.
Poselství Galileova dalekohledu. Medicejské hvězdy
Czech Academy of Sciences Publication Activity Database
Hadravová, Alena; Hadrava, Petr
2009-01-01
Roč. 88, č. 1 (2009), s. 16-17 ISSN 0042-4544 Institutional research plan: CEZ:AV0Z80630520; CEZ:AV0Z10030501 Keywords : history of astronomy * Galileo Galilei * first telescopic observations Subject RIV: AB - History
Vybrané astronomické tisky rudolfínské doby
Czech Academy of Sciences Publication Activity Database
Hadravová, Alena
2013-01-01
Roč. 20, č. 2013 (2013), s. 31-43 ISSN 1210-8510 R&D Projects: GA ČR(CZ) GAP405/11/0034 Institutional support: RVO:68378114 Keywords : Johannes Kepler * Galileo Galilei * Tycho Brahe Subject RIV: AB - History
Joseph M. Nyasani It is not only astronomers who have been ...
African Journals Online (AJOL)
Galileo. Gal.ilei is a good example of that. Indeed the Greek Ionian. School, in trying to unravel the mystery of the earth's ... which govern scientific knowledge and indeed all cognitive .... of space or it is itself space confounded in the process of.
The Moral and Ethical Implications of Precision-Guided Munitions
2007-03-01
state was secured permanently on the world political stage. Grotius was to jurisprudence and the just-war tradition as Francis Bacon and Rene ... Descartes were to philosophy and Galileo Galilei and Sir Isaac Newton were to applied science. Grotius’ interpretation of the just-war tra- dition as it
Indian Academy of Sciences (India)
Some three and a half centuries ago, Galileo Galilei declared that the book of nature was written in the language of mathematics. Isaac Newton following after him set up a comprehensive scheme for the description of physical phenomena, and aptly called it "Mathematical Principles of. Natural Philosophy". For a couple of ...
Achievements, agreements and quarrels of forefathers of mechanics
Directory of Open Access Journals (Sweden)
Okrouhlík M.
2015-12-01
Full Text Available The presented paper is devoted to deeds of Galileo Galilei, Johannes Kepler, Robert Hooke, Christiaan Huygens and Isaac Newton with an intention to show their achievements in mechanics, their intellectual and scientific heritage, and also their personal vanities that sometimes led to harmful mutual relations.
Resonance – Journal of Science Education | Indian Academy of ...
Indian Academy of Sciences (India)
Home; Journals; Resonance – Journal of Science Education; Volume 6; Issue 8. Galileo Galilei: Father of Modern Science. C S Yogananda. Article-in-a-Box Volume 6 Issue 8 August 2001 pp 3-5. Fulltext. Click here to view fulltext PDF. Permanent link: https://www.ias.ac.in/article/fulltext/reso/006/08/0003-0005 ...
Die grossen Physiker und ihre Entdeckungen von den fallenden Körpern zu den Quarks
Segrè, Emilio
1998-01-01
Von Galileo Galilei bis zu Richard Feynman und Murray Gell-Mann - von den fallenden Körpern zu den Quarks: Der Physiknobelpreisträger Emilio Segre hat seine ganz persönliche Geschichte der Physik geschrieben. Er erzählt von den großen Gestalten und deren wichtigen Entdeckungen mit großer Anschaulichkeit und Lebendigkeit.
Between Fiction and Reality: Maps and Cartographic Logic in the Works of Peter Sís
Cantavella, Anna Juan
2017-01-01
This article examines the use of maps in the works of Czech author-illustrator Peter Sís in order to consider the role that cartography plays in the construction of four of his biographical picturebooks: Follow the Dream: "The Story of Christopher Columbus" (2003/1991), "Starry Messenger: Galileo Galilei" (1996), "The Tree…
International Nuclear Information System (INIS)
Lagg, A.
1997-11-01
The simulation of the Low Energy Magnetospheric Measurement System (LEMMS) on board the GALILEO spacecraft and the analysis of data from the Jovian magnetosphere are the main topics of this work. The geometric factors obtained from this simulation can reproduce spectral electron fluxes measured in the Jovian magnetosphere without applying additional corrections. The depletion of particles at high pitch angles measured during the first encounter period with Io is used to calculate neutral number density and latitudinal extension of the neutral gas torus at the Io orbit. As the most likely interaction process the charge exchange between energetic charged particles and the neutral sulfur and oxygen atoms in the torus is discussed. A simple model for this region including this interaction mechanism is the basis for the first calculation of the neutral number density from in-situ measurements of charged particle fluxes. An additional topic of the data analysis is an energy dispersive enhancement of electron fluxes observed in the Io torus. The plasma transport as a consequence of the gradient-curvature drift motion is examined. The time and the origin of a possible injection process is estimated. (author)
Directory of Open Access Journals (Sweden)
Francesco Cuomo
Full Text Available The article reports the outcome of an analysis of the reception of Bertolt Brecht’s play, "The Life of Galileo", as presented by Giorgio Strehler (Milan, 1963 and Brecht himself in collaboration with Erich Engel (East Berlin, 1957, carried out on respective press reviews. The reviews were examined by the application of quantitative analysis based on the recurrence of determinate themes associated with images of science. In comparing the results of the analysis of each of the two press reviews, it appears that different images were conveyed by the same play performed in two different contexts for different audiences. Italy, in particular, showed a more frequent recurrence of the conflict between science and religion as a result of the ongoing cultural and spiritual authority of the Church, whereas in the German Democratic Republic’s communist regime, where Brecht is a troublesome but tolerated intellectual, the topics of the scientist’s freedom within the Establishment and intellectual courage were more frequent.
Directory of Open Access Journals (Sweden)
Francesco Cuomo
2006-03-01
Full Text Available The article reports the outcome of an analysis of the reception of Bertolt Brecht’s play, "The Life of Galileo", as presented by Giorgio Strehler (Milan, 1963 and Brecht himself in collaboration with Erich Engel (East Berlin, 1957, carried out on respective press reviews. The reviews were examined by the application of quantitative analysis based on the recurrence of determinate themes associated with images of science. In comparing the results of the analysis of each of the two press reviews, it appears that different images were conveyed by the same play performed in two different contexts for different audiences. Italy, in particular, showed a more frequent recurrence of the conflict between science and religion as a result of the ongoing cultural and spiritual authority of the Church, whereas in the German Democratic Republic’s communist regime, where Brecht is a troublesome but tolerated intellectual, the topics of the scientist’s freedom within the Establishment and intellectual courage were more frequent.
Ghosts of Mathematicians Past: Paolo Ruffini
Fitzherbert, John
2016-01-01
Paolo Ruffini (1765-1822) may be something of an unknown in high school mathematics; however his contributions to the world of mathematics are a rich source of inspiration. Ruffini's rule (often known as "synthetic division") is an efficient method of dividing a polynomial by a linear factor, with or without a remainder. The process can…
Fundamental Achievements of Ancient Chinese Mathematicians
Czech Academy of Sciences Publication Activity Database
Křížek, Michal; Liu, L.; Šolcová, A.
2005-01-01
Roč. 38, č. 3 (2005), s. 99-107 ISSN 0025-5653 R&D Projects: GA AV ČR(CZ) IAA1019201 Institutional research plan: CEZ:AV0Z10190503 Keywords : Pythagorean theorem * Ludolf number * primality test Subject RIV: BA - General Mathematics
Introductory fluid mechanics for physicists and mathematicians
Pert, Geoffrey J
2013-01-01
This textbook presents essential methodology for physicists of the theory and applications of fluid mechanics within a single volume. Building steadily through a syllabus, it will be relevant to almost all undergraduate physics degrees which include an option on hydrodynamics, or a course in which hydrodynamics figures prominently.
Teaching mathematics to non-mathematicians
DEFF Research Database (Denmark)
Triantafyllou, Evangelia; Timcenko, Olga
2017-01-01
Over the past years, a number of engineering programs have arisen that transcend the division between technical, scientific and art-related disciplines. Media Technology at Aalborg University, Denmark is such an engineering program. In relation to mathematics education, this new development has...... changed the way mathematics is applied in practice and is taught in these disciplines. This paper discusses a doctoral dissertation that investigated and assessed interventions to increase student motivation and engagement in mathematics among Media Technology students. The results of this dissertation...
The Menu for Every Young Mathematician's Appetite
Legnard, Danielle S.; Austin, Susan L.
2012-01-01
Math Workshop offers differentiated instruction to foster a deep understanding of rich, rigorous mathematics that is attainable by all learners. The inquiry-based model provides a menu of multilevel math tasks, within the daily math block, that focus on similar mathematical content. Math Workshop promotes a culture of engagement and…
Ten Simple Rules for the Care and Feeding of Scientific Data
Goodman, A.; Pepe, A.; Blocker, A.W.; Borgman, C.L.; Cranmer, K.; Crosas, M.; Di Stefano, R.; Gil, Y; Groth, P.T.; Hedstrom, M.; Hogg, D.W.; Kashyap, V.; Mahabal, A.; Siemiginowska, A.; Slavkovic, A.
2014-01-01
In the early 1600s, Galileo Galilei turned a telescope toward Jupiter. In his log book each night, he drew to-scale schematic diagrams of Jupiter and some oddly moving points of light near it. Galileo labeled each drawing with the date. Eventually he used his observations to conclude that the Earth orbits the Sun, just as the four Galilean moons orbit Jupiter. History shows Galileo to be much more than an astronomical hero, though. His clear and careful record keeping and publication style no...
Directory of Open Access Journals (Sweden)
SEZINANDO LUIZ MENEZES
2014-09-01
Full Text Available Resumo: Este trabalho tem o objetivo de analisar a relação entre a Missão dos Padres Matemáticos, expedição organizada pela Coroa portuguesa na primeira metade do século XVIII para realizar estudos sobre os territórios portugueses na América, e o desenvolvimento de uma cultura ilustrada em Portugal, pois, segundo nosso entendimento, a “missão” se relaciona às transformações culturais vividas em Portugal naquele período. Nesta análise partimos do pressuposto teórico de que as ações humanas, apesar de expressarem uma individualidade, correspondem a um determinado contexto social, político, econômico e cultural. Isso significa que o pensamento e comportamento humano associam-se a uma “configuração” – conceito aplicado por Norbert Elias, na obra A sociedade de corte (2001, para estudar a sociedade da corte francesa entre os séculos XVII e XVIII.Palavras-chave: Ilustração – Fronteiras Americanas – Mineração – Padres Matemáticos. Abstract: This paper is intended to analyze the relationship between the Mission of the Mathematicians Priest expedition organized by the Portuguese crown in the first half of the eighteenth century to conduct studies on the Portuguese territories in America, and the development of an illustrated culture in Portugal. According to our understanding, the "mission" is connected to cultural transformations in Portugal at that time. In this analysis we set of theory premise that human actions, although expressing individuality, correspond to a particular, political, economic and cultural context. This means that human thought and behavior associated to a "configuration" - concept applied by Norbert Elias, The society in the work of cutting (2001, to study the society of the French court between the seventeenth and eighteenth centuries.Keywords: Illustration – American Borders – Mining – Mathematical Priests.
Di Cristofaro, Julie; Frassati, Coralie; Montagnie, Rolande; Basire, Agnes; Merieux, Yves; Picard, Christophe
2015-01-01
Fetal/neonatal allo-immune thrombocytopenia is the most frequent and the most dangerous clinical condition involving anti-human platelet antigens (HPA)-1a allo-antibodies. Anti-HPA-1a allo-immunization requires rapid and accurate diagnosis to determine appropriate treatment. The Capture-P Ready-Screen assay (C-PRS) is a new qualitative immunoassay to detect IgG anti-human leukocyte antigen (HLA) and anti-HPA allo-antibodies. The aim of this study is to assess the identification of anti-HPA-1a allo-antibodies using the C-PRS assay, associated with HLA class I stripping reagents, on the automated benchtop analyzer Galileo Echo. Forty-nine sera were analyzed: without anti-HLA class I or anti-HPA allo-antibodies, with anti-HLA class I allo-antibodies, with anti-HPA-1a allo-antibodies, among which with anti-HLA class I allo-antibodies. None of the samples without allo-antibodies were reactive. Only anti-HLA antibodies, detected by cytotoxicity-dependent complement and not by Luminex, remained positive before and after stripping reagents. Of the 13 samples, anti-HPA-1a allo-antibodies that were correctly identified before and after incubation with HLA assassin reagent were 70% and 85%, respectively. Anti-glycoprotein auto-antibodies and anti-HLA allo-antibodies do not interfere with the detection of anti-HPA-1a antibodies. This preliminary study indicates that further improvement of the test will be helpful in developing a clinically useful assay in the future.
Unriddling of ancient-medieval culture by PIXE
International Nuclear Information System (INIS)
Uda, M.
1997-01-01
Some examples are given for unriddling of ancient-medieval culture by PIXE. Effectiveness of PIXE to analyze art and archaeological objects is also explained. Objects employed here are 1) red, yellow, blue and white pigments painted on sun-dried bricks excavated in Egypt, 2) ancient glass beads used in the Near East, 3) South American mummy hair, 4) ancient slag excavated from Kansai-district, Japan 5) ink used by Galileo Galilei and 6) Renaissance style enameled gold jewelry. (author)
A Short Walk along the Gravimeters Path
Directory of Open Access Journals (Sweden)
Iginio Marson
2012-01-01
Full Text Available The history of gravity measurements begun in 1604 with Galileo Galilei experiments on the acceleration due to the gravity force of the earth, g, along inclined planes. In his memory, the most used unit to measure g is the gal (10−2 m/s2. The paper takes the interested reader through a walk along some of the most important achievements in gravity measurements and gives some perspectives for future developments in terrestrial gravity.
Atomic Pioneers Book 1 From Ancient Greece to the 19th Century
Energy Technology Data Exchange (ETDEWEB)
Hiebert, Ray [University of Maryland; Hiebert, Roselyn
1970-01-01
This brief booklet gives a snapshot view of 25 men, each of whom contributed an important building block to the foundations of atomic science. The 25 men are: Anaxagoras; Archimedes; Avogadro, Amedeo; Berthollet, Claude Louis; Berzelius, Jons Jakob; Boyle, Robert; Bruno, Giordano; Copernicus; Dalton, John; Davy, Humphry; Democritus; Descartes, Rene; Empedocles; Fpicurus; Franklin, Benjamin; Galilei, Galileo; Gassendi, Pierre; Gay-Lussac, Joseph Louis; Lavoisier, Antoine; Leucippus; Lucretius; Newton, Isaac; Proust, Joseph Louis; Pythagoras; and Wollaston, William Hyde.
Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
Duval, C.; Gibbons, G. W.; Horvathy, P. A.; Zhang, P. M.
2014-04-01
The Carroll group was originally introduced by Lévy-Leblond (1965 Ann. Inst. Henri Poincaré 3 1) by considering the contraction of the Poincaré group as c → 0. In this paper an alternative definition, based on the geometric properties of a non-Minkowskian, non-Galilean but nevertheless boost-invariant, spacetime structure is proposed. A ‘duality’ with the Galilean limit c → ∞ is established. Our theory is illustrated by Carrollian electromagnetism.
Kane, M.; Mitchell, D. G.; Carbary, J. F.; Hill, M. E.; Dialynas, K.; Mauk, B.; Krimigis, S. M.
2017-12-01
An extensive analysis of Cassini INCA and CHEMS measurements of 5-149 keV ions acquired during all equatorial orbits has been completed using a 3-D convected kappa distribution model. The computed plasma azimuthal speed, expressed as a fraction of the local corotation speed, decreases sharply with increasing distance from Saturn. The oxygen ion profile follows the hydrogen ion trend. For both species, the polar convection speed is the smallest of the 3 velocity components, and is centered about zero, but the radial speed has a significant radially outward component. Further, the radial component is enhanced in the pre-dawn sector. The hydrogen and oxygen temperatures increase with decreasing distance to Saturn. The calculated pattern of convection is consistent with an empirical model of plasma convection that includes outward radial transport and escape of plasma in a dawnside boundary layer of plasma entrained by the dawn magnetosheath flow. When the model convection pattern is scaled to the sub-solar magnetopause distance and to the sizes of Jupiter and Saturn, the pattern agrees with that derived from analysis of hot ions detected by the LECP detector on Voyager and the EPD instrument on Galileo. This and previous analysis of hot ion distributions has shown that the convected kappa distribution, with isotropy assumed in the plasma rest frame, has well described hot ion observed fluxes within a limited range of ion energies and has produced meaningful and ordered physical plasma parameters including plasma bulk velocity vectors, kappa distribution temperature profiles, and the general magnetospheric convection pattern at Jupiter and Saturn.
Theano: The World's First Female Mathematician?
Deakin, Michael A. B.
2013-01-01
Theano, an associate, most likely the wife, of Pythagoras, has some claim to be the first woman to play an active role in mathematics. The question of how far this claim can be supported is here examined.
Approximating perfection a mathematician's journey into the world of mechanics
Lebedev, Leonid P
2004-01-01
This is a book for those who enjoy thinking about how and why Nature can be described using mathematical tools. Approximating Perfection considers the background behind mechanics as well as the mathematical ideas that play key roles in mechanical applications. Concentrating on the models of applied mechanics, the book engages the reader in the types of nuts-and-bolts considerations that are normally avoided in formal engineering courses: how and why models remain imperfect, and the factors that motivated their development. The opening chapter reviews and reconsiders the basics of c
André-Louis Cholesky mathematician, topographer and army officer
Brezinski, Claude
2014-01-01
Outside the professional circles of topography and applied mathematics, the life and work of André-Louis Cholesky (1875–1918) are still relatively unknown to the scientific community. This new book appreciably widens the exposure of his remarkable personal achievements in topography and mathematics to a much larger international audience. Cholesky is also interesting to historians because he is a perfect representative of the "scientists engineers" that, since the early 19th century, had issued from the French scientific high schools. Because they had received a high level of mathematical education, they were able to innovate in their practice of engineering. In the case of Cholesky, this resulted in original contributions in artillery, topography, numerical analysis and graphical calculation. In addition, the book places his education and works within the history of several European countries through the 17th to 19th centuries. The book begins with Cholesky's biography, followed by his family’s hi...
Perturbative algebraic quantum field theory an introduction for mathematicians
Rejzner, Kasia
2016-01-01
Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities. We discuss in detail the examples of scalar fields and gauge theories and generalize them to QFT on curved spacetimes. pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all of these conceptual problems. Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses QFT on curved spacetimes and effective quantum gravity. The book aims to be accessible researchers and graduate students interested in the mathematical foundations of pQFT are th...
Kaun Banega Crorepati - A Million Dollars for a Mathematician ...
Indian Academy of Sciences (India)
... all sciences'. Mathematics these days has a presence in a wide range of human ... about numbers is worth as much as a question about the system of the world'. .... flow, particle physics and computer science, but are none the less exciting ...
Values and Norms of Proof for Mathematicians and Students
Dawkins, Paul Christian; Weber, Keith
2017-01-01
In this theoretical paper, we present a framework for conceptualizing proof in terms of mathematical values, as well as the norms that uphold those values. In particular, proofs adhere to the values of establishing a priori truth, employing decontextualized reasoning, increasing mathematical understanding, and maintaining consistent standards for…
Portraits of the earth a mathematician looks at maps
Feeman, Timothy G
2002-01-01
Maps are exciting, visual tools that we encounter on a daily basis: from street maps to maps of the world accompanying news stories to geologic maps depicting the underground structure of the earth. This book explores the mathematical ideas involved in creating and analyzing maps, a topic that is rarely discussed in undergraduate courses. It is the first modern book to present the famous problem of mapping the earth in a style that is highly readable and mathematically accessible to most students. Feeman's writing is inviting to the novice, yet also interesting to readers with more mathematica
Creativity from Two Perspectives: Prospective Mathematics Teachers and Mathematician
Yazgan-Sag, Gönül; Emre-Akdogan, Elçin
2016-01-01
Although creativity plays a critical role in mathematics, it remains underestimated in the context of a mathematics classroom. This study aims to explore the views and differences creativity displays in prospective teachers and one of their lecturers with respect to the characteristics and practices of creative teachers and the characteristics of…
QFT, RG, and all that, for mathematicians, in eleven pages
Abdesselam, Abdelmalek
2013-01-01
We present a quick introduction to quantum field theory and Wilson's theory of the renormalization group from the point of view of mathematical analysis. The presentation is geared primarily towards a probability theory, harmonic analysis and dynamical systems theory audience.
Of men and numbers the story of the great mathematicians
Muir, Jane
1996-01-01
Fascinating accounts of the lives and accomplishments of history's greatest mathematical minds, from Pythagoras to Georg Cantor. Muir also provides charming anecdotes about Descartes, Euler, Pascal, and many others, as well as accessible discussions of their contributions to mathematical thought.
[Rational bases for cooperation between epidemiologists and mathematicians].
Favorova, L A; Shatrov, I I
1977-10-01
The authors consider rational foundations underlying creatin of realistic models. The principal condition for the successful mathematical modelling is obtaining of the most full value primary materials on the course of the epidemic process. For this purpose the authors suggest definite principles of the methodical approach to the mathematical modelling. Possibilities of the use of mathematical methods for various groups of infections are consideder. Particular attention is paid to the works on the study of the infection risk in "small" collective bodies.
Mathematicians in Schools: Uncovering Maths' Beautiful Secrets
Welch, Bronwyn
2016-01-01
Mathematics professionals are working with teachers revealing the reality and beauty that happens in the world of math and to show that this is essentially a "human endeavour," embedded in much of what people do and the ways in which they think. In this article, the author shares vignettes of primary classes working with mathematicians…
Kaun Banega Crorepati - A Million Dollars for a Mathematician
Indian Academy of Sciences (India)
after a long journey with his left and right hands interchanged as with the swimmer in the Moebius band. I can now state the million dollar question - the Poincare conjecture. Is any compact simply connected 3-manifold homeomorphic to the 3-sphere? This question can be suitably generalised to higher dimensions.
Educating the Young Mathematician: The Twentieth Century and Beyond
Saracho, Olivia N.; Spodek, Bernard
2009-01-01
Educational programs for young children emerged reasonably early in the history of the United States of America. The movements of Child-Centered Education, the Nursery School, the Project Method, Curriculum Reform, and contemporary research have all influenced mathematics in early childhood education. The Froebelian kindergarten and the Montessori…
Transactions of the Twenty-Seventh Conference of Army Mathematicians.
1982-01-01
number of moderate size such devices exist in the U.S. and abroad with the largest and newest in Gramat , France. This device is schematically illustrated...Reference 1 as an example. B. A Blast Simulator Model. The Gramat Facility in France1 consists of a driven tube with a nominal diameter of 12 m. In order to...the Gramat Facility as shown in Figure 3. Although only four tubes are shown, Gramat actually has seven 1. The decaying wave in this facility is
Caspar Wessel (1745-1818). Surveyor and Mathematician
DEFF Research Database (Denmark)
Branner, Bodil; Johansen, Nils Voje
1999-01-01
as 1787. In 1797 his mathematical paper "On the Analytical Representation of Direction. An Attempt Applied Chiefly to Solving Plane and Spherical Polygons" (in Danish) was accepted for publication in the Collected Papers of the Academy. The articleis today recognised as the first to contain...
Mathematical methods for mathematicians, physical scientists and engineers
Dunning-Davies, J
2003-01-01
This practical introduction encapsulates the entire content of teaching material for UK honours degree courses in mathematics, physics, chemistry and engineering, and is also appropriate for post-graduate study. It imparts the necessary mathematics for use of the techniques, with subject-related worked examples throughout. The text is supported by challenging problem exercises (and answers) to test student comprehension. Index notation used in the text simplifies manipulations in the sections on vectors and tensors. Partial differential equations are discussed, and special functions introduced
La question de Galilée les faits et leurs conséquences
de L'Épinois, Henri
2015-01-01
Extrait : ""Galileo Galilei, que dans la langue française nous nommons Galilée, naquit le 18 février 1564 à Pise, où se trouvaient alors sa mère, Giulia Ammanati, et son père Vincenzo Galilei, issu d'une famille noble de Florence. Après avoir fait ses premières classes dans cette dernière ville et avoir achevé ses humanités et sa logique au monastère de Vallombrosa où il revêtit un instant l'habit de novice...""À PROPOS DES ÉDITIONS LIGARANLes éditions LIGARAN proposent des versions numériques de qualité de grands livres de la littérature classique mais également des livres rares en partenari
GALILEO NIMS SPECTRAL IMAGE CUBES: JUPITER OPERATIONS
National Aeronautics and Space Administration — The natural form of imaging spectrometer data is the spectral image cube. It is normally in band sequential format, but has a dual nature. It is a series of 'images'...
GALILEO NIMS SPECTRAL IMAGE TUBES: JUPITER OPERATIONS
National Aeronautics and Space Administration — The natural form of imaging spectrometer data is the spectral image cube. It is normally in band sequential format, but has a dual nature. It is a series of 'images'...
Una aproximación al método cartesiano. Su relación con la contabilidad
Vargas-Restrepo, Carlos Mario; Universidad Católica de Oriente
2014-01-01
La filosofía cartesiana constituyó el puntode partida de la modernidad. Con ella, se impone la razónen la manera de aproximarse al conocimiento y cobra relevancialo medible y lo cuantificable, legado de los postuladosde Galileo Galilei. Así entonces, los preceptos delmétodo cartesiano y la duda metódica sirvieron de basepara acceder al conocimiento verdadero y para descubrirnuevas verdades a partir de las ya conocidas. El desarrollode la disciplina contable también estuvo influenciado porla f...
Italy flags scientific shortcomings
Cartlidge, Edwin
2008-04-01
The land that gave us Leonardo da Vinci, Galileo Galilei and Enrico Fermi does not regard science as part of culture, but it must do so if it is to avoid being left behind economically and intellectually. That is the message from a working group of 18 academics, sponsored by the Italian government, to find ways of improving the quantity, quality and public perception of science in the country. The group has now put forward a range of measures to combat what the group's chair, left-wing politician and Siena University law professor Luigi Berlinguer, describes as a "national emergency".
Gravitational-Wave Astronomy: Modelling, detection, and data analysis
Torres Forné, Alejandro
2017-01-01
La detección directa de la primera señal de ondas gravitatorias, el 14 de Septiembre de 2015, puede considerarse uno de los mayores hitos científicos de todos los tiempos. No solo porque supone la confirmación de la última de las predicciones de la Teoría de la Relatividad General de Albert Einstein, sino porque anticipa una autentica revolución en el campo de las astrofísica, comparable a la producida con la invención del telescopio por Galileo Galilei en 1609. Este descubrimiento ha inaugur...
Celestial-themed Cartoons Captivate Children
Cappelli, V.; di Benedetto, C.
2010-12-01
Attivamente: Big discoveries with Galileo and Phineas & Ferb, an educational entertainment project for children, was a collaboration between Disney Television Italy and the Education and Public Outreach office of the INAF Astronomical Observatory of Padua, Italy. The project started during the International Year of Astronomy 2009 and came to an end in June 2010. It consisted of a cartoon series, several articles in a Disney magazine and an educational kit focused on Galileo Galilei and the Moon. The kit, called the First Astronomical Kit, was distributed to 30 000 children in Italy, and included a board game about the Moon, an observation diary and a lunar fact card. The aim of the kit was to give children some basic astronomical knowledge and to demonstrate the essential role that observation plays in understanding the heavens. This article discusses how a research institute and a major entertainment company -- each with very different working practices -- were able to work together to form a successful partnership.
Galilei, Galileo; Reeves, Eileen; Helden, Albert van
2010-01-01
Galileo's telescopic discoveries, and especially his observation of sunspots, caused great debate in an age when the heavens were thought to be perfect and unchanging. Christoph Scheiner, a Jesuit mathematician, argued that sunspots were planets or moons crossing in front of the Sun. Galileo, on the other hand, countered that the spots were on or near the surface of the Sun itself, and he supported his position with a series of meticulous observations and mathematical demonstrations that eventually convinced even his rival. On Sunspots collects the correspondenc
Galileo's Multiinstrument Spectral View of Europa's Surface Composition
Fanale, F.P.; Granahan, J.C.; McCord, T.B.; Hansen, G.; Hibbitts, C.A.; Carlson, R.; Matson, D.; Ocampo, A.; Kamp, L.; Smythe, W.; Leader, F.; Mehlman, R.; Greeley, R.; Sullivan, R.; Geissler, P.; Barth, C.; Hendrix, A.; Clark, B.; Helfenstein, P.; Veverka, J.; Belton, M.J.S.; Becker, K.; Becker, T.
1999-01-01
We have combined spectral reflectance data from the Solid State Imaging (SSI) experiment, the Near-Infrared Mapping Spectrometer (NIMS), and the Ultraviolet Spectrometer (UVS) in an attempt to determine the composition and implied genesis of non-H2O components in the optical surface of Europa. We have considered four terrains: (1) the "dark terrains" on the trailing hemisphere, (2) the "mottled terrain," (3) the linea on the leading hemisphere, and (4) the linea embedded in the dark terrain on the trailing hemisphere. The darker materials in these terrains exhibit remarkably similar spectra in both the visible and near infrared. In the visible, a downturn toward shorter wavelengths has been attributed to sulfur. The broad concentrations of dark material on the trailing hemisphere was originally thought to be indicative of exogenic sulfur implantation. While an exogenic cause is still probable, more recent observations by the UVS team at higher spatial resolution have led to their suggestions that the role of the bombardment may have primarily been to sputter away overlying ice and to reveal underlying endogenic non-H2O contaminants. If so, this might explain why the spectra in all these terrains are so similar despite the fact that the contaminants in the linea are clearly endogenic and those in the mottled terrain are almost certainly so. In the near infrared, all these terrains exhibit much more asymmetrical bands at 1.4 and 2.0 ??m at shorter wavelengths than spectra from elsewhere on Europa. It has been argued that this is because the water molecules are bound in hydrated salts. However, this interpretation has been challenged and it has also been argued that pure coarse ice can exhibit such asymmetric bands under certain conditions. The nature of this controversy is briefly discussed, as are theoretical and experimental studies bearing on this problem. ?? 1999 Academic Press.
Analysis and Modeling of Jovian Radio Emissions Observed by Galileo
Menietti, J. D.
2003-01-01
Our studies of Jovian radio emission have resulted in the publication of five papers in refereed journals, with three additional papers in progress. The topics of these papers include the study of narrow-band kilometric radio emission; the apparent control of radio emission by Callisto; quasi-periodic radio emission; hectometric attenuation lanes and their relationship to Io volcanic activity; and modeling of HOM attenuation lanes using ray tracing. A further study of the control of radio emission by Jovian satellites is currently in progress. Abstracts of each of these papers are contained in the Appendix. A list of the publication titles are also included.
Images from Galileo of the Venus cloud deck
Belton, M.J.S.; Gierasch, P.J.; Smith, M.D.; Helfenstein, P.; Schinder, P.J.; Pollack, James B.; Rages, K.A.; Ingersoll, A.P.; Klaasen, K.P.; Veverka, J.; Anger, C.D.; Carr, M.H.; Chapman, C.R.; Davies, M.E.; Fanale, F.P.; Greeley, R.; Greenberg, R.; Head, J. W.; Morrison, D.; Neukum, G.; Pilcher, C.B.
1991-01-01
Images of Venus taken at 418 (violet) and 986 [near-infrared (NIR)] nanometers show that the morphology and motions of large-scale features change with depth in the cloud deck. Poleward meridional velocities, seen in both spectral regions, are much reduced in the NIR. In the south polar region the markings in the two wavelength bands are strongly anticorrelated. The images follow the changing state of the upper cloud layer downwind of the subsolar point, and the zonal flow field shows a longitudinal periodicity that may be coupled to the formation of large-scale planetary waves. No optical lightning was detected.
Galileo, Descartes, and Newton - founders of the language of physics
Czech Academy of Sciences Publication Activity Database
Kvasz, Ladislav
2012-01-01
Roč. 62, č. 6 (2012), s. 519-614 ISSN 0323-0465 Institutional support: RVO:67985955 Keywords : Galilean physics * Cartesian physics * Newtonian Physics * language of physics Subject RIV: AA - Philosophy ; Religion Impact factor: 1.333, year: 2012
La nuova costellazione Galileo và in orbita
Directory of Open Access Journals (Sweden)
Renzo Carlucci
2005-12-01
Full Text Available Siamo arrivati alla fine del 2005 e assistiamo alla partenza del primo satellite del nuovo sistema di posizionamento europeo.Giove-A, nome in codice del primo satellite, non farà parte però della costellazione definitiva, è come un satellite sacrificale che opererà per un certo periodo inviando segnali atti alla messa a punto del sistema finale e da qui a due anni cesserà la sua funzione. Sarà seguito a breve da Giove-B, anch’esso con un destino simile al suo predecessore.
Selenide isotope generator for the Galileo mission. Reliability program plan
International Nuclear Information System (INIS)
1978-10-01
The reliability program plan for the Selenide Isotope Generator (SIG) program is presented. It delineates the specific tasks that will be accomplished by Teledyne Energy Systems and its suppliers during design, development, fabrication and test of deliverable Radioisotopic Thermoelectric Generators (RTG), Electrical Heated Thermoelectric Generators (ETG) and associated Ground Support Equipment (GSE). The Plan is formulated in general accordance with procedures specified in DOE Reliability Engineering Program Requirements Publication No. SNS-2, dated June 17, 1974. The Reliability Program Plan presented herein defines the total reliability effort without further reference to Government Specifications. The reliability tasks to be accomplished are delineated herein and become the basis for contract compliance to the extent specified in the SIG contract Statement of Work
StarryTelling: Discover the Galileo in You!
Wallace, E. F.
2010-08-01
Astronomy facts are innumerable. However, astronomy stories are epic. Interweave ancient sky lore with personal tales and modern science and make the skies come alive using the oral tradition. We call it StarryTelling™.
Let's Repair the Broken Galileo Thermometer
Kireš, Marián
2018-01-01
We have developed and verified laboratory work as guided inquiry for upper secondary level students, focusing on conceptual understanding of the physical principle that forms the basis of temperature measurement, and on improvement of selected skills. Conceptual pre-test questions initiate the students' interest and help identify input…
Selenide isotope generator for the Galileo mission. GDS disassembly report
International Nuclear Information System (INIS)
1978-11-01
The GDS-1 was disassembled to determine the cause for the rapid degradation of the output power. Unfortunately, it was not possible to relate the observations to direct causes for the degradation. However, some positive statements can be made which have an impact on the flight program. First, the outgassing and gas management techniques were shown to be adequate to maintain clean conditions within the generator. Second, the non-modular components within the generator including the receptacles on the housing were not affected by the thermal environment during operation of GDS-1. Third, a significant amount of sublimation of the P-legs has occurred during the relatively short life of 2000 + hours as shown by the bullet nosing of the legs and deposits on the cold end hardware. The fact that the generator atmosphere was not 100% xenon may have some bearing on this observation but the statement is still accurate. Fourth, all exposed N-legs display cracks and/or chips. Fifth, a great deal of misalignment of both N and P-legs was seen both visually and with radiographs. Although no definite conclusions can be made concerning the cause for the rapid degradation of performance, several of the observed conditions within the module could possibly contribute to that fact. They are: cracks in N-legs (increased resistance); deposits on edges of BeO discs (shorting of thermoelectric circuit); and bullet nosing of P-legs (increased resistance). It remains to be shown if any of these effects or the follower hangup described earlier contributed to the poor performance of GDS-1 or if another effect as yet unknown was the important factor
SAT Expo Europe 2010: EGNOS, GALILEO e politica geospaziale
Directory of Open Access Journals (Sweden)
Gianluca Pititto
2010-03-01
Full Text Available SatExpo Europe 2010The 2010 edition of SatExpo Europe has been held in Rome since the 6th until the 8th of february. The event focused on Navigation, Earth Observation and Advanced Telecommunications, with a special reference to the european market and the international colalborations between space agencies.
Space and motion in nature and Scripture: Galileo, Descartes, Newton.
Janiak, Andrew
2015-06-01
In the Scholium to the Definitions in Principia mathematica, Newton departs from his main task of discussing space, time and motion by suddenly mentioning the proper method for interpreting Scripture. This is surprising, and it has long been ignored by scholars. In this paper, I argue that the Scripture passage in the Scholium is actually far from incidental: it reflects Newton's substantive concern, one evident in correspondence and manuscripts from the 1680s, that any general understanding of space, time and motion must enable readers to recognize the veracity of Biblical claims about natural phenomena, including the motion of the earth. This substantive concern sheds new light on an aspect of Newton's project in the Scholium. It also underscores Newton's originality in dealing with the famous problem of reconciling theological and philosophical conceptions of nature in the seventeenth century. Copyright © 2015 Elsevier Ltd. All rights reserved.
Selenide isotope generator for the Galileo Mission: safety test plan
International Nuclear Information System (INIS)
1979-01-01
The intent of this safety test plan is to outline particular kinds of safety tests designed to produce information which would be useful in the safety analysis process. The program deals primarily with the response of the RTG to accident environments; accordingly two criteria were established: (1) safety tests should be performed for environments which are the most critical in terms of risk contribution; and (2) tests should be formulated to determine failure conditions for critical heat source components rather than observe heat source response in reference accident environments. To satisfy criterion 1. results of a recent safety study were used to rank various accidents in terms of expected source terms. Six kinds of tests were then proposed which would provide information meeting the second criterion