Sauerbier, Charles
2009-01-01
In 1891 a paper by Georg Cantor was published in which he addressed the relative cardinality of two sets, the set of integers and the set of real numbers, in effort to demonstrate that the two sets were of unequal cardinality. This paper offers a contrary conclusion to Cantor's argument, together with implication of such to the theory of computation.
DEFF Research Database (Denmark)
Ashbee, Edward
2014-01-01
US update. The surprise primary defat of Eric Cantor, which shows that the Tea Party is still in business......US update. The surprise primary defat of Eric Cantor, which shows that the Tea Party is still in business...
Indian Academy of Sciences (India)
eralizing the method of proof of the well known. Cantor's ... Godel's first incompleteness theorem is proved. ... that the number of elements in any finite set is a natural number. ..... proof also has a Godel number; of course, you have to fix.
Leon, Antonio
2008-01-01
The inconsistencies involved in the foundation of set theory were invariably caused by infinity and self-reference; and only with the opportune axiomatic restrictions could them be obviated. Throughout history, both concepts have proved to be an exhaustible source of paradoxes and contradictions. It seems therefore legitimate to pose some questions concerning their formal consistency. This is just the objective of this paper. Starting from an extension of Cantor's paradox that suggests the in...
Indian Academy of Sciences (India)
IAS Admin
life. It was Cantor who helped lay the foundations of the theory of fractals – a notion which has ... And it is Cantor, about whose work one can hear views from lead- ing mathematicians ... Soon after, he developed a friendship with Dedekind.
Indian Academy of Sciences (India)
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His father had a great love for art and culture. He had a flourishing business spread over several countries. Cantor's mother – Maria Anna. Böhm – was a Russian and a Roman Catholic. She was an accomplished musician. Cantor inherited this musical and artistic talent and was an outstanding violinist. The climate of St.
Directory of Open Access Journals (Sweden)
Morris E Scott
2015-12-01
Full Text Available It is possible that Georg Cantor and Walter Christaller may have been aware of one another during their careers, however, there is no indication the two collaborated. Also, there is no documentation that Christaller’s central place theory (CPT contains any tenets derived from Cantor’s middle third set (CMT. Regardless, CMT and CPT are linked by their constructions as nested hierarchies and the geometry of hexagons. The end points and intervals of CMT may be incorporated, respectively, as anchor points and radii for the hexagonal tessellations of central place theory.
Cantor, God, and Inconsistent Multiplicities*
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Thomas-Bolduc Aaron R.
2016-03-01
Full Text Available The importance of Georg Cantor’s religious convictions is often neglected in discussions of his mathematics and metaphysics. Herein I argue, pace Jané (1995, that due to the importance of Christianity to Cantor, he would have never thought of absolutely infinite collections/inconsistent multiplicities, as being merely potential, or as being purely mathematical entities. I begin by considering and rejecting two arguments due to Ignacio Jané based on letters to Hilbert and the generating principles for ordinals, respectively, showing that my reading of Cantor is consistent with that evidence. I then argue that evidence from Cantor’s later writings shows that he was still very religious later in his career, and thus would not have given up on the reality of the absolute, as that would imply an imperfection on the part of God.
Georg Cantor: habitar lo eterno
Penagos, Juan Manuel Rodríguez
2002-01-01
Este artículo pone en discusión la relación entre estructura psíquica y la producción lógica del delirio; para ello, parte de un matemático alemán llamado Georg Cantor. Aquí se discute la relación entre la producción matemática y la instalación de su psicosis. Este artigo coloca em discussão a relação entre estrutura psíquica e a produção lógica do delírio, partindo de um matemático alemão chamado Georg Cantor. Discutese ainda a relação entre a produção matemática e a instalação de sua psi...
Georg Cantor: habitar lo eterno
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Juan Manuel Rodríguez Penagos
Full Text Available Este artículo pone en discusión la relación entre estructura psíquica y la producción lógica del delirio; para ello, parte de un matemático alemán llamado Georg Cantor. Aquí se discute la relación entre la producción matemática y la instalación de su psicosis.
Two Fourier analyses on the Cantor set
Gatesoupe, M; Salinger, DL
The classical Cantor set is given the structure of a compact Abelian group in two ways: the Cantor group and the group of dyadic integers. The relations between the trigonometric series with respect to the two structures are studied, specifically for radial functions and for spherical functions. (C)
On the differentiability of central Cantor sets
International Nuclear Information System (INIS)
Plaza, S.; Vera, J.
1992-09-01
In this article for each r ≥ 1 we provide a class of C r central Cantor sets whose self-arithmetic difference is a Cantor set of positive Lebesgue measure. When r ≥ 2 these sets are dynamically defined. (author). 10 refs, 7 figs
Georg Cantor i idea jedności nauki
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Jerzy Dadaczyński
2009-06-01
Full Text Available G. Cantor presented - in an unpublished paper (1884 - a vision of the unity of science. He argued all sciences can be reduced directly to the set theory. A source of this idea was for Cantor the unity of mathematics (on the basis of set theory. Cantor represented thesis about the unity of science irrespective of the representatives of positivism (E. Mach.
The elements of Cantor sets with applications
Vallin, Robert W
2013-01-01
This book is a thorough introduction to the Cantor (Ternary) Set and its applications and brings together many of the topics (advanced calculus, probability, topology, and algebra) that mathematics students are required to study, but unfortunately are treated as separate ideas. This book successfully bridges the gap between how several mathematical fields interact using Cantor Sets as the common theme. While the book is mathematically self-contained, readers should be comfortable with mathematical formalism and have some experience in reading and writing mathematical proofs. Chapter cover
Fractal Dimension and the Cantor Set
Indian Academy of Sciences (India)
IAS Admin
S Smith. dimension'). We now give two examples of such objects to show that this notion is not vacuous. Cantor Set. Start with the unit interval [0, 1]. Delete the open mid- dle third of the segment, leaving behind two closed seg- ments: [0, 1/3] and [2/3, 1]. Note that, each has length. 1/3. Repeat the same construction for each ...
Cantor spectra of magnetic chain graphs
Czech Academy of Sciences Publication Activity Database
Exner, Pavel; Vašata, D.
2017-01-01
Roč. 50, č. 16 (2017), č. článku 165201. ISSN 1751-8113 R&D Projects: GA ČR GA17-01706S Institutional support: RVO:61389005 Keywords : quantum chain graph * magnetic field * almost Mathieu operator * Cantor spectrum Subject RIV: BE - Theoretical Physics OBOR OECD: Atomic, molecular and chemical physics ( physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect) Impact factor: 1.857, year: 2016
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Meng Zhi-Jun
2016-01-01
Full Text Available This paper addresses the systems of the incompressible Navier-Stokes equations on Cantor sets without the external force involving the fractal heat-conduction problem vial local fractional derivative. The spherical Cantor type co-ordinate method is used to transfer the incompressible Navier-Stokes equation from the Cantorian co-ordinate system into the spherical Cantor type co-ordinate system.
How did Cantor Discover Set Theory and Topology?
Indian Academy of Sciences (India)
IAS Admin
Cantor's work led to the foundation of mathematics and revived the ancient ... and opened up new possibilities in mathematics. The great ... background in which Cantor started working. ..... We may think of G as a 'rule' that gives the value of a.
A Teoria dos Conjuntos de Cantor
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Antônio Acra Freiria
1992-07-01
Full Text Available No final dos anos 50 e começo doe anos 60, houve uma reformulação significativa da Matemática no Brasil. Sob a bandeira do modernismo, seus defensores buscaram inovações no ensino da Matemática. Dessa forma, os reformistas se concentraram essencialmente na linguagem abusiva e no formalismo da Teoria dos Conjuntos, o que trouxe mais danos do que benefícios do ensino da Matemática de 1º e 2ºgraus. A linguagem formal da Teoria dos Conjuntos é porém sua parte menos importante. A teoria criada por Cantor tão logo revelou-se como o fundamento de toda a Matemática, possibilitando o desenvolvimento de novas disciplinas, como a Topologia, a Algebra Abstrata, a Teoria da Medida e Integração, a Teoria da Probabilidade e a Análise Funcional. O objetivo deste trabalho é um relato sucinto de como surgiu essa teoria, apresentando o "Conjunto de Cantor" como um dos mais ricos exemplos de "Conjunto perfeito" encontrados na literatura matemática.
The vocal load of Reform Jewish cantors in the USA.
Hapner, Edie; Gilman, Marina
2012-03-01
Jewish cantors comprise a subset of vocal professionals that is not well understood by vocal health professionals. This study aimed to document the vocal demands, vocal training, reported incidence of voice problems, and treatment-seeking behavior of Reform Jewish cantors. The study used a prospective observational design to anonymously query Reform Jewish cantors using a 35-item multiple-choice survey distributed online. Demographic information, medical history, vocal music training, cantorial duties, history of voice problems, and treatment-seeking behavior were addressed. Results indicated that many of the commonly associated risk factors for developing voice disorders were present in this population, including high vocal demands, reduced vocal downtime, allergies, and acid reflux. Greater than 65% of the respondents reported having had a voice problem that interfered with their ability to perform their duties at some time during their careers. Reform Jewish cantors are a population of occupational voice users who may be currently unidentified and underserved by vocal health professionals. The results of the survey suggest that Reform Jewish cantors are occupational voice users and are at high risk for developing voice disorders. Copyright © 2012 The Voice Foundation. Published by Mosby, Inc. All rights reserved.
International Nuclear Information System (INIS)
Yang, Xiao-Jun; Srivastava, H.M.; He, Ji-Huan; Baleanu, Dumitru
2013-01-01
In this Letter, we propose to use the Cantor-type cylindrical-coordinate method in order to investigate a family of local fractional differential operators on Cantor sets. Some testing examples are given to illustrate the capability of the proposed method for the heat-conduction equation on a Cantor set and the damped wave equation in fractal strings. It is seen to be a powerful tool to convert differential equations on Cantor sets from Cantorian-coordinate systems to Cantor-type cylindrical-coordinate systems.
Maxwell’s Equations on Cantor Sets: A Local Fractional Approach
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Yang Zhao
2013-01-01
Full Text Available Maxwell’s equations on Cantor sets are derived from the local fractional vector calculus. It is shown that Maxwell’s equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields. Local fractional differential forms of Maxwell’s equations on Cantor sets in the Cantorian and Cantor-type cylindrical coordinates are obtained. Maxwell's equations on Cantor set with local fractional operators are the first step towards a unified theory of Maxwell’s equations for the dynamics of cold dark matter.
Proofs of the Cantor-Bernstein theorem a mathematical excursion
Hinkis, Arie
2013-01-01
This book offers an excursion through the developmental area of research mathematics. It presents some 40 papers, published between the 1870s and the 1970s, on proofs of the Cantor-Bernstein theorem and the related Bernstein division theorem. While the emphasis is placed on providing accurate proofs, similar to the originals, the discussion is broadened to include aspects that pertain to the methodology of the development of mathematics and to the philosophy of mathematics. Works of prominent mathematicians and logicians are reviewed, including Cantor, Dedekind, Schröder, Bernstein, Borel, Zermelo, Poincaré, Russell, Peano, the Königs, Hausdorff, Sierpinski, Tarski, Banach, Brouwer and several others mainly of the Polish and the Dutch schools. In its attempt to present a diachronic narrative of one mathematical topic, the book resembles Lakatos’ celebrated book Proofs and Refutations. Indeed, some of the observations made by Lakatos are corroborated herein. The analogy between the two books is clearly an...
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Ya-Juan Hao
2013-01-01
Full Text Available The main object of this paper is to investigate the Helmholtz and diffusion equations on the Cantor sets involving local fractional derivative operators. The Cantor-type cylindrical-coordinate method is applied to handle the corresponding local fractional differential equations. Two illustrative examples for the Helmholtz and diffusion equations on the Cantor sets are shown by making use of the Cantorian and Cantor-type cylindrical coordinates.
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Ai-Min Yang
2014-01-01
Full Text Available We use the local fractional series expansion method to solve the Klein-Gordon equations on Cantor sets within the local fractional derivatives. The analytical solutions within the nondifferential terms are discussed. The obtained results show the simplicity and efficiency of the present technique with application to the problems of the liner differential equations on Cantor sets.
Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method
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Shao-Hong Yan
2014-01-01
Full Text Available The local fractional decomposition method is applied to approximate the solutions for Fokker-Planck equations on Cantor sets with local fractional derivative. The obtained results give the present method that is very effective and simple for solving the differential equations on Cantor set.
Conflicting Tendencies in the Historigraphy of Mathematics: M. Cantor and H.G. Zeuthen
DEFF Research Database (Denmark)
Lützen, Jesper
1994-01-01
A comparison between Cantor's and Zeuthen's approach to the history of mathematics, based on their published works and the polemics between them.......A comparison between Cantor's and Zeuthen's approach to the history of mathematics, based on their published works and the polemics between them....
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Subrat Debata
2017-09-01
Full Text Available This report provides information regarding the distribution range, population status, and threats of the nationally threatened Cantor's leaf-nosed bat from Odisha, eastern India. The study revealed six new roosting sites of the species with an estimated total population of 97 individuals. Roosting sites were mostly recorded within moist deciduous habitats, located in caves, old temples, and buildings. In most of the sites, bats are threatened from roost site disturbance and hunted for ethnozoological uses. We recommend long-term monitoring on population trends in relation to human activities. The information generated from the study will aid in reassessing the conservation status of the species in future.
Transmission properties of Dirac electrons through Cantor monolayer graphene superlattices
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R. Rodríguez-González
2014-01-01
Full Text Available En este trabajo usamos el método de la matriz de transferencia para estudiar el tunelamiento de los electrones de Dirac a través de superredes aperiodicas en grafeno. Consideramos una hoja de grafeno depositada encima de bloques de sustratos de Óxido de Silicio (SiO2 y Carburo de Silicio (SiC, en los cuales aplicamos la serie de Cantor. Calculamos la transmitancia para diferentes parámetros fundamentales tales como: ancho de partida, energía de incidencia, ángulo de incidencia y número de generación de la serie de Cantor. En este caso, la transmitancia como función de la energía presenta rasgos autosimilares al variar el número de generación. También computamos la distribución angular de la transmitancia para energías fijas econtrando un patrón autosimilar entre generaciones. Por último, calculamos los factores de escala para algunos espectros de la transmitancia, los cuales efectivamente muestran escalabilidad.
The philosophy of set theory an historical introduction to Cantor's paradise
Tiles, Mary
2004-01-01
A century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled him to derive theorems that established a mathematical reality for a hierarchy of infinities. Cantor's innovation was opposed, and ignored, by the establishment; years later, the value of his work was recognized and appreciated as a landmark in mathematical thought, forming the beginning of set theory and the foundation for most of contemporary mathematics. As Cantor's sometime collaborator, David Hilbert, remarked, ""No one will drive us from the
Propagation of Dirac electrons in Cantor graphene multilayers
International Nuclear Information System (INIS)
Rodríguez-González, R.; Martínez-Orozco, J. C.; Madrigal-Melchor, J.; Rodríguez-Vargas, I.
2014-01-01
In this work we use the standard T-matrix method to study the tunneling of Dirac electrons through graphene multilayers. A graphene sheet is deposited on top of slabs of Silicon-Oxide (SiO 2 ) and Silicon-Carbide (SiC) substrates, in which we applied the Cantor’s series. We calculate the transmittance as a function of energy for different incident angles and different generations of the Cantor’s series. Comparing the transmittance, we found three types of self-similarity: (a) local - into generations, (b) between incident angles and (c) between generations. We also compute the angular distribution of the transmittance for fixed energies finding a self-similar pattern between generations. To our knowledge is the first time that four different self-similar patterns are presented in Cantor-based multilayers
Propagation of Dirac electrons in Cantor graphene multilayers
Energy Technology Data Exchange (ETDEWEB)
Rodríguez-González, R.; Martínez-Orozco, J. C.; Madrigal-Melchor, J.; Rodríguez-Vargas, I. [Unidad Académica de Física, Universidad Autónoma de Zacatecas, Calzada Solidaridad Esquina Con Paseo La Bufa S/N, 98060 Zacatecas, Zac. (Mexico)
2014-05-15
In this work we use the standard T-matrix method to study the tunneling of Dirac electrons through graphene multilayers. A graphene sheet is deposited on top of slabs of Silicon-Oxide (SiO{sub 2}) and Silicon-Carbide (SiC) substrates, in which we applied the Cantor’s series. We calculate the transmittance as a function of energy for different incident angles and different generations of the Cantor’s series. Comparing the transmittance, we found three types of self-similarity: (a) local - into generations, (b) between incident angles and (c) between generations. We also compute the angular distribution of the transmittance for fixed energies finding a self-similar pattern between generations. To our knowledge is the first time that four different self-similar patterns are presented in Cantor-based multilayers.
Fourier transform and mean quadratic variation of Bernoulli convolution on homogeneous Cantor set
Energy Technology Data Exchange (ETDEWEB)
Yu Zuguo E-mail: yuzg@hotmail.comz.yu
2004-07-01
For the Bernoulli convolution on homogeneous Cantor set, under some condition, it is proved that the mean quadratic variation and the average of Fourier transform of this measure are bounded above and below.
Energy Technology Data Exchange (ETDEWEB)
Li Jun; Nekka, Fahima E-mail: fahima.nekka@umontreal.ca
2004-01-01
Initiated by the purpose of classification of sets having the same fractal dimension, we continue, in this second paper of a series of two, our investigation of intersection of triadic Cantor sets and their use in the classification of fractal sets. We exploit the infinite tree structure of translation elements to give the exact expressions of these elements. We generalize this result to a family of uniform Cantor sets for which we also give the Hausdorff measure spectrum function (HMSF). We develop three algorithms for the construction of HMSF of triadic Cantor sets. Then, we introduce a new method based on HMSF as a way for tracing the geometrical organization of a fractal set. The HMSF does carry a huge amount of information about the set to likely be explored in a chosen way. To extract this information, we develop a one by one step method and apply it to typical fractal sets. This results in a complete identification of fractals.0.
Exact Hausdorff centered measure of symmetry Cantor sets
Energy Technology Data Exchange (ETDEWEB)
Dai Meifeng [Department of Mathematics, Jiangsu University, Zhenjiang 212013 (China)] e-mail: daimf0225@163.com; Tian Lixin [Department of Mathematics, Jiangsu University, Zhenjiang 212013 (China)] e-mail: tianlx@ujs.edu.cn
2005-10-01
Let K({lambda}{sub 1},{lambda}{sub 2}), the symmetry Cantor sets, be the attractor of an iterated function system {l_brace}f{sub 1},f{sub 2},f{sub 3}{r_brace} on the line, where f{sub 1}(x)={lambda}{sub 1}x, f{sub 2}(x)={lambda}{sub 2}x+1-{lambda}{sub 2}2,f{sub 3}(x)=1-{lambda}{sub 1}+{lambda}{sub 1}x, x-bar [0,1]. In this paper, we proved that if 1-2{lambda}{sub 1}-{lambda}{sub 2}2>={lambda}, where {lambda}=max{l_brace}{lambda}{sub 1},{lambda}{sub 2}{r_brace}, then the exact Hausdorff centered measure C{sup s} of K({lambda}{sub 1},{lambda}{sub 2}) equals 1, where s is the Hausdorff dimension of K({lambda}{sub 1},{lambda}{sub 2})
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Gao Guo-Ping
2016-01-01
Full Text Available In this article, we investigate the local fractional 3-D compressible Navier-Stokes equation via local fractional derivative. We use the Cantor-type cylindrical co-ordinate method to transfer 3-D compressible Navier-Stokes equation from the Cantorian co-ordinate system to the Cantor-type cylindrical co-ordinate system.
Intersections of homogeneous Cantor sets and beta-expansions
International Nuclear Information System (INIS)
Kong, Derong; Li, Wenxia; Dekking, F Michel
2010-01-01
Let Γ β,N be the N-part homogeneous Cantor set with β in (1/(2N − 1), 1/N). Any string (j l ) l=1 ∞ with j l in {0, ±1, ..., ±(N − 1)} such that t=Σ l=1 ∞ j l β l-1 (1-β)/(N-1) is called a code of t. Let U β,±N be the set of t in [−1, 1] having a unique code, and let S β,±N be the set of t element of U β,±N which makes the intersection Γ β,N intersection (Γ β,N + t) a self-similar set. We characterize the set U β,±N in a geometrical and algebraical way, and give a sufficient and necessary condition for t element of S β,±N . Using techniques from beta-expansions, we show that there is a critical point β c in (1/(2N − 1), 1/N), which is a transcendental number, such that U β,±N has positive Hausdorff dimension if β in (1/(2N − 1), β c ), and contains countably infinite many elements if β in (β c , 1/N). Moreover, there exists a second critical point α c =[N+1-√((N-1)(N+3))]/2 element of (1/(2N-1),β c ) such that S β,±N has positive Hausdorff dimension if β in (1/(2N − 1), α c ), and contains countably infinite many elements if β in [α c , 1/N)
Fourier transforms on Cantor sets: A study in non-Diophantine arithmetic and calculus
International Nuclear Information System (INIS)
Aerts, Diederik; Czachor, Marek; Kuna, Maciej
2016-01-01
Highlights: • Fractal arithmetic allows to define Fourier transforms on Cantor-like sets. • General construction is illustrated on the example of a sawtooth signal. • The formalism is much simpler than the approaches discussed so far in the literature. - Abstract: Fractals equipped with intrinsic arithmetic lead to a natural definition of differentiation, integration, and complex structure. Applying the formalism to the problem of a Fourier transform on fractals we show that the resulting transform has all the required basic properties. As an example we discuss a sawtooth signal on the ternary middle-third Cantor set. The formalism works also for fractals that are not self-similar.
Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets
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Ai-Min Yang
2013-01-01
Full Text Available We proposed a local fractional series expansion method to solve the wave and diffusion equations on Cantor sets. Some examples are given to illustrate the efficiency and accuracy of the proposed method to obtain analytical solutions to differential equations within the local fractional derivatives.
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Yang Zhao
2013-01-01
Full Text Available The mappings for some special functions on Cantor sets are investigated. Meanwhile, we apply the local fractional Fourier series, Fourier transforms, and Laplace transforms to solve three local fractional differential equations, and the corresponding nondifferentiable solutions were presented.
Fully inkjet printed wide band cantor fractal antenna for RF energy harvesting application
Bakytbekov, Azamat; Maza, Armando Rodriguez; Nafe, Mahmoud; Shamim, Atif
2017-01-01
and an omnidirectional radiation pattern. In this work, a novel Cantor fractal antenna has been designed which fulfills the above mentioned performance requirements. Antenna has been realized through a combination of 3D inkjet printing of plastic substrate and 2D inkjet
On Equality and Natural Numbers in Cantor-Lukasiewicz Set Theory
Czech Academy of Sciences Publication Activity Database
Hájek, Petr
2013-01-01
Roč. 21, č. 1 (2013), s. 91-100 ISSN 1367-0751 R&D Projects: GA MŠk(CZ) 1M0545 Institutional research plan: CEZ:AV0Z10300504 Keywords : Lukasiewicz logic * Cantor set theory * full comprehension Subject RIV: BA - General Mathematics Impact factor: 0.530, year: 2013
Sub- and super-diffusion on Cantor sets: Beyond the paradox
K. Golmankhaneh, Alireza; Balankin, Alexander S.
2018-04-01
There is no way to build a nontrivial Markov process having continuous trajectories on a totally disconnected fractal embedded in the Euclidean space. Accordingly, in order to delineate the diffusion process on the totally disconnected fractal, one needs to relax the continuum requirement. Consequently, a diffusion process depends on how the continuum requirement is handled. This explains the emergence of different types of anomalous diffusion on the same totally disconnected set. In this regard, we argue that the number of effective spatial degrees of freedom of a random walker on the totally disconnected Cantor set is equal to nsp = [ D ] + 1, where [ D ] is the integer part of the Hausdorff dimension of the Cantor set. Conversely, the number of effective dynamical degrees of freedom (ds) depends on the definition of a Markov process on the totally disconnected Cantor set embedded in the Euclidean space En (n ≥nsp). This allows us to deduce the equation of diffusion by employing the local differential operators on the Fα-support. The exact solutions of this equation are obtained on the middle-ɛ Cantor sets for different kinds of the Markovian random processes. The relation of our findings to physical phenomena observed in complex systems is highlighted.
Self-similarity of the union of 3-part Cantor set with its two translations
Energy Technology Data Exchange (ETDEWEB)
Dai Meifeng [Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013 (China)], E-mail: daimf@ujs.edu.cn; Tian Lixin [Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013 (China)], E-mail: tianlx@ujs.edu.cn
2008-07-15
For 3-part Cantor set, we first discuss the relationship between iterated function systems and the union of the set with its two translations. Then we obtain the necessary and sufficient condition that the union is a self-similar set with the open set condition.
Comportamento vocal de cantores populares Vocal behavior of popular singers
Directory of Open Access Journals (Sweden)
Valquíria Zimmer
2012-04-01
Full Text Available OBJETIVO: investigar aspectos do histórico, hábitos e comportamentos vocais de cantores populares, conforme o sexo e as categorias profissional e amador. MÉTODO: entrevista com 47 cantores, 25 homens e 22 mulheres. RESULTADOS: significância estatística nos seguintes achados: MASCULINO - microfone nos ensaios, ausência de problemas vocais diagnosticados, ausência de orientações sobre higiene vocal, dor ou desconforto após cantar, ausência de alergias e problemas respiratórios; FEMININO - aulas de canto e conhecimento sobre postura; AMADOR - não cantar dançando, não imitar vozes, ausência de avaliação otorrinolaringológica, ausência de problemas vocais diagnosticados, ausência de terapia fonoaudiológica, ausência de orientações de anatomofisiologia vocal e não utilização de álcool nos ensaios; PROFISSIONAL - rouquidão, conhecimento sobre articulação, álcool durante os shows, "garganta suja" ou pigarro, dor após cantar. CONCLUSÕES: a comparação entre os sexos evidenciou que os homens utilizavam microfone no ensaio, não apresentavam problemas alérgicos ou respiratórios, nem problemas vocais diagnosticados, mas apresentavam sensação de dor ou desconforto após o canto e não possuíam noções sobre higiene vocal; e que as mulheres realizavam aulas de canto e possuíam orientações de postura. A comparação entre amadores e profissionais mostrou que os amadores não cantavam dançando, não imitavam vozes, não utilizavam álcool nos ensaios, e não apresentavam problemas vocais diagnosticados, mas não possuíam avaliação otorrinolaringológica, não realizavam terapia fonoaudiológica, e não possuíam conhecimento sobre anatomofisiologia vocal; e os profissionais apresentavam queixa de rouquidão, de "garganta suja" ou pigarro e de dor após cantar, e usavam álcool durante os shows, apesar de possuir conhecimento sobre articulação.PURPOSE: to investigate aspects of vocal history, vocal habits and
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Sun Huan
2016-01-01
Full Text Available In this paper, we use the Laplace transform series expansion method to find the analytical solution for the local fractional heat-transfer equation defined on Cantor sets via local fractional calculus.
The Cantor-Bendixson Rank of Certain Bridgeland-Smith Stability Conditions
Aulicino, David
2018-01-01
We provide a novel proof that the set of directions that admit a saddle connection on a meromorphic quadratic differential with at least one pole of order at least two is closed, which generalizes a result of Bridgeland and Smith, and Gaiotto, Moore, and Neitzke. Secondly, we show that this set has finite Cantor-Bendixson rank and give a tight bound. Finally, we present a family of surfaces realizing all possible Cantor-Bendixson ranks. The techniques in the proof of this result exclusively concern Abelian differentials on Riemann surfaces, also known as translation surfaces. The concept of a "slit translation surface" is introduced as the primary tool for studying meromorphic quadratic differentials with higher order poles.
On a Formalization of Cantor Set Theory for Natural Models of the Physical Phenomena
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Nudel'man A. S.
2010-01-01
Full Text Available This article presents a set theory which is an extension of ZFC . In contrast to ZFC , a new theory admits absolutely non-denumerable sets. It is feasible that a symbiosis of the proposed theory and Vdovin set theory will permit to formulate a (presumably non- contradictory axiomatic set theory which will represent the core of Cantor set theory in a maximally full manner as to the essence and the contents of the latter. This is possible due to the fact that the generalized principle of choice and the generalized continuum hypothesis are proved in Vdovin theory. The theory, being more complete than ZF and more natural according to Cantor, will allow to construct and study (in its framework only natural models of the real physical phenomena.
On a Formalization of Cantor Set Theory for Natural Models of the Physical Phenomena
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Nudel'man A. S.
2010-01-01
Full Text Available This article presents a set theory which is an extension of $ZFC$. In contrast to $ZFC$, a new theory admits absolutely non-denumerable sets. It is feasible that a symbiosis of the proposed theory and Vdovin set theory will permit to formulate a (presumably non-contradictory axiomatic set theory which will represent the core of Cantor set theory in a maximally full manner as to the essence and the contents of the latter. This is possible due to the fact that the generalized principle of choice and the generalized continuum hypothesis are proved in Vdovin theory. The theory, being more complete than $ZF$ and more natural according to Cantor, will allow to construct and study (in its framework only natural models of the real physical phenomena.
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Zhi-Yong Chen
2014-01-01
Full Text Available From the signal processing point of view, the nondifferentiable data defined on the Cantor sets are investigated in this paper. The local fractional Fourier series is used to process the signals, which are the local fractional continuous functions. Our results can be observed as significant extensions of the previously known results for the Fourier series in the framework of the local fractional calculus. Some examples are given to illustrate the efficiency and implementation of the present method.
New Approaches for Solving Fokker Planck Equation on Cantor Sets within Local Fractional Operators
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Hassan Kamil Jassim
2015-01-01
Full Text Available We discuss new approaches to handling Fokker Planck equation on Cantor sets within local fractional operators by using the local fractional Laplace decomposition and Laplace variational iteration methods based on the local fractional calculus. The new approaches maintain the efficiency and accuracy of the analytical methods for solving local fractional differential equations. Illustrative examples are given to show the accuracy and reliable results.
On the intersection of an m-part uniform Cantor set with its rational translation
Energy Technology Data Exchange (ETDEWEB)
Dai Meifeng [Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013 (China)], E-mail: daimf@ujs.edu.cn; Tian Lixin [Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013 (China)], E-mail: tianlx@ujs.edu.cn
2008-11-15
In this paper, we study an m-part uniform Cantor set with its rational translation. We give the fractal structure and the formula of the box-counting dimension of the intersection I(t). We find that the Hausdorff measures of these sets form a discrete spectrum whose non-zero values come only from translating the length t with its n-base expansion.
Fully Printed 3D Cube Cantor Fractal Rectenna for Ambient RF Energy Harvesting Application
Bakytbekov, Azamat
2017-11-01
Internet of Things (IoT) is a new emerging paradigm which requires billions of wirelessly connected devices that communicate with each other in a complex radio-frequency (RF) environment. Considering the huge number of devices, recharging batteries or replacing them becomes impractical in real life. Therefore, harvesting ambient RF energy for powering IoT devices can be a practical solution to achieve self-charging operation. The antenna for the RF energy harvesting application must work on multiple frequency bands (multiband or wideband) to capture as much power as possible from ambient; it should be compact and small in size so that it can be integrated with IoT devices; and it should be low cost, considering the huge number of devices. This thesis presents a fully printed 3D cube Cantor fractal RF energy harvesting unit, which meets the above-mentioned criteria. The multiband Cantor fractal antenna has been designed and implemented on a package of rectifying circuits using additive manufacturing (combination of 3D inkjet printing of plastic substrate and 2D metallic screen printing of silver paste) for the first time for RF energy harvesting application. The antenna, which is in a Cantor fractal shape, is folded on five faces of a 3D cube where the bottom face accommodates rectifying circuit with matching network. The rectenna (rectifying antenna) harvests RF power from GSM900, GSM1800, and 3G at 2100 MHz frequency. Indoor and outdoor field tests of the RF energy harvester have been conducted in the IMPACT lab and the King Abdullah University of Science and Technology (KAUST) campus territory, and 252.4 mV of maximum output voltage is harvested.
Identifying elementary iterated systems through algorithmic inference: The Cantor set example
Energy Technology Data Exchange (ETDEWEB)
Apolloni, Bruno [Dipartimento di Scienze dell' Informazione, Universita degli Studi di Milano, Via Comelico 39/41, 20135 Milan (Italy)]. E-mail: apolloni@dsi.unimi.it; Bassis, Simone [Dipartimento di Scienze dell' Informazione, Universita degli Studi di Milano, Via Comelico 39/41, 20135 Milan (Italy)]. E-mail: bassis@dsi.unimi.it
2006-10-15
We come back to the old problem of fractal identification within the new framework of algorithmic Inference. The key points are: (i) to identify sufficient statistics to be put in connection with the unknown values of the fractal parameters, and (ii) to manage the timing of the iterated process through spatial statistics. We fill these tasks successfully with the Cantor sets. We are able to compute confidence intervals for both the scaling parameter {theta} and the iteration number n at which we are observing a set. We both check numerically the coverage of these intervals and delineate a general strategy for affording more complex iterated systems.
Mediaeval cantorals in the Valladolid Biblioteca: FT-Raman spectroscopic study.
Edwards, H G; Farwell, D W; Rull Perez, F; Medina Garcia, J
2001-03-01
Raman spectroscopic studies of three mediaeval cantorals in the Biblioteca of the University of Valladolid has revealed information about the pigments used on these large manuscripts. Although executed in a simple colour palette, very pure cinnabar was used as the major colourant, offsetting the carbon black of the verses and script. A dark blue colour was achieved using a mixture of azurite (basic copper carbonate) and carbon, whereas a light blue colour was azurite alone. A grey colour was achieved using azurite, carbon particles and a calcareous 'limewash'. A yellow pigment, used sparely in the cantorals was ascribed to saffron; unusually, there was no evidence for the presence of the yellow mineral pigments orpiment, realgar and massicot. In several regions of the vellum specimens, evidence for biodeterioration was observed through the signatures of hydrated calcium oxalate. We report for the first time the Raman spectra of pigment in situ on a vellum fragment, which also shows evidence of substrate bands; comparison of black and red pigmented regions of vellum specimens has shown the presence of calcium oxalate in the black pigmented script but not in the red pigment regions, which suggests that the cinnabar in the red-pigmented regions acts as a toxic protectant for the vellum substrate against biological colonisation processes.
Desvantagem vocal em cantores de igreja Vocal handicap of church singers
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Tatiane Prestes
2012-10-01
Full Text Available OBJETIVO: avaliar a desvantagem vocal de cantores amadores de coros de igreja. MÉTODO: participaram 42 cantores de coros amadores de igrejas, sendo 20 homens e 22 mulheres, com idades entre 18 e 59 anos. Todos responderam a um questionário contendo perguntas sobre autopercepção vocal e práticas de canto, e ao protocolo Índice de Desvantagem para o Canto Moderno (IDCM, composto por 30 questões referentes às subescalas incapacidade, desvantagem e defeito. Foi realizada triagem perceptivo-auditiva para classificação das vozes em adaptadas ou alteradas e mensuração dos graus De alteração. RESULTADOS: a pontuação total média obtida no IDCM foi 23 pontos. Os maiores escores foram obtidos na subescala "defeito" (10,9, seguido por "incapacidade" (7,6 e "desvantagem" (4,5, com diferença entre elas (p= 0,001. Cantores que nunca realizaram aula de canto apresentaram maiores escores no domínio "desvantagem" (p=0,003. À medida que o escore total do IDCM aumentou, a nota atribuída pelo cantor em relação à própria voz diminuiu (p= 0,046. Participantes com qualidade vocal alterada apresentaram maiores escores nas subescalas incapacidade e desvantagem e no domínio total do IDCM quando comparados aos que apresentavam qualidade vocal adaptada (p=0,012, p=0,049 e p=0,015, respectivamente. Além disso, quanto maior o grau de alteração vocal, maiores foram os escores referentes à subescala incapacidade (p=0,022. CONCLUSÃO: cantores de igreja apresentam desvantagem vocal importante. Quando apresentam alterações vocais, esta desvantagem é ainda maior. Quanto maior o grau de alteração vocal, maiores as limitações referentes à voz cantada. Aulas de canto parecem minimizar a desvantagem vocal nessa população.PURPOSE: to evaluate the vocal handicap of amateur singers of church choirs. METHOD: we interviewed 42 amateur singers from church choirs, 20 men, and 22 women, between 18 and 59 year old. Everybody answered a questionnaire
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Dumitru Baleanu
2014-01-01
Full Text Available We perform a comparison between the fractional iteration and decomposition methods applied to the wave equation on Cantor set. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective and straightforward for solving the differential equations with local fractional derivative.
Self-similar transmission properties of aperiodic Cantor potentials in gapped graphene
Rodríguez-González, Rogelio; Rodríguez-Vargas, Isaac; Díaz-Guerrero, Dan Sidney; Gaggero-Sager, Luis Manuel
2016-01-01
We investigate the transmission properties of quasiperiodic or aperiodic structures based on graphene arranged according to the Cantor sequence. In particular, we have found self-similar behaviour in the transmission spectra, and most importantly, we have calculated the scalability of the spectra. To do this, we implement and propose scaling rules for each one of the fundamental parameters: generation number, height of the barriers and length of the system. With this in mind we have been able to reproduce the reference transmission spectrum, applying the appropriate scaling rule, by means of the scaled transmission spectrum. These scaling rules are valid for both normal and oblique incidence, and as far as we can see the basic ingredients to obtain self-similar characteristics are: relativistic Dirac electrons, a self-similar structure and the non-conservation of the pseudo-spin.
Fully inkjet printed wide band cantor fractal antenna for RF energy harvesting application
Bakytbekov, Azamat
2017-06-07
Energy harvesting from ambient RF signals is feasible, particularly from the GSM bands such as 900MHz, 1800MHz and the 3G band at 2.1GHz. This requires a wideband receive antenna which can cover all these bands with decent gain performance and an omnidirectional radiation pattern. In this work, a novel Cantor fractal antenna has been designed which fulfills the above mentioned performance requirements. Antenna has been realized through a combination of 3D inkjet printing of plastic substrate and 2D inkjet printing of metallic nanoparticles based ink. The stable impedance and radiation performance of the antenna over a bandwidth of 0.8GHz to 2.2GHz (93 %) shows the feasibility of its employment in wide band energy harvesting applications.
Of overlapping Cantor sets and earthquakes: analysis of the discrete Chakrabarti-Stinchcombe model
Bhattacharyya, Pratip
2005-03-01
We report an exact analysis of a discrete form of the Chakrabarti-Stinchcombe model for earthquakes (Physica A 270 (1999) 27), which considers a pair of dynamically overlapping finite generations of the Cantor set as a prototype of geological faults. In this model the nth generation of the Cantor set shifts on its replica in discrete steps of the length of a line segment in that generation and periodic boundary conditions are assumed. We determine the general form of time sequences for the constant magnitude overlaps and, hence, obtain the complete time-series of overlaps by the superposition of these sequences for all overlap magnitudes. From the time-series we derive the exact frequency distribution of the overlap magnitudes. The corresponding probability distribution of the logarithm of overlap magnitudes for the nth generation is found to assume the form of the binomial distribution for n Bernoulli trials with probability {1}/{3} for the success of each trial. For an arbitrary pair of consecutive overlaps in the time-series where the magnitude of the earlier overlap is known, we find that the magnitude of the later overlap can be determined with a definite probability; the conditional probability for each possible magnitude of the later overlap follows the binomial distribution for k Bernoulli trials with probability {1}/{2} for the success of each trial and the number k is determined by the magnitude of the earlier overlap. Although this model does not produce the Gutenberg-Richter law for earthquakes, our results indicate that the fractal structure of faults admits a probabilistic prediction of earthquake magnitudes.
Noble Cantor sets acting as partial internal transport barriers in fusion plasmas
International Nuclear Information System (INIS)
Misguich, J.H.; Reuss, J.D.; Constantinescu, D.; Steinbrecher, G.; Vlad, M.; Spineanu, F.; Weyssow, B.; Balescu, R.
2002-03-01
In hot laboratory plasmas, Internal Transport Barriers (ITB) have recently been observed, localized in the radial profile 'around' rational values of the winding number ω(r)=1/q(r). Such barriers are obviously related to the perturbed magnetic structure, described by a 1+1/2 Hamiltonian in presence of a perturbation. From the point of view of non-linear Hamiltonian dynamical systems this experimental result appears highly paradoxical since rational q-values generally correspond to the less robust tori. We have studied the appearance of chaos of toroidal magnetic lines by a discrete area-preserving map named 'tokamap'. By increasing the perturbation, we have observed in a wide chaotic sea the destruction of the last confining Kolmogorov-Arnold-Moser (KAM) surfaces, broken and transformed into permeable Cantor sets (Cantori). The flux across a Cantorus has been computed by using refined mathematical techniques due to MacKay, Mather and Aubry. We have proved that the ITB observed in the tokamap is actually composed of two permeable Cantori with 'noble' values of ω (in the definition of Percival). More generally, between the dominant chains of rational islands q = m/m-1, the most resistant barriers between q = m+2/m+1 and m+1/m have been checked (Green, MacKay and Stark) to be localized on the 'most irrational' numbers in these Farey intervals, i.e. on the noble numbers N(1,m)≡ 1+[1/(m+1/G)] (where G is the Golden number) defined by their continuous fraction expansion N(i,m) = [i,m,(1) ∞ ]. In conclusion, the study of the tokamap mapping allowed us to predict on mathematical basis that ITB can occur in tokamak plasmas not only 'around' rational magnetic surfaces but more precisely on noble q-values of irrational surfaces, and to localize them by the Fibonacci series of their convergent. (authors)
La notion husserlienne de multiplicité : au-delà de Cantor et Riemann
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Carlo Ierna
2012-04-01
Full Text Available En raison du rôle changeant qu’il joue dans les différents ouvrages de Husserl, le concept de Mannigfaltigkeit afait l’objet de nombreuses interprétations. La présence de ce terme a notamment induit en erreur plusieurs commentateurs, qui ont cru en déterminer l’origine dans les années de Halle, à l’époque où Husserl, ami et collègue de Cantor, rédigeait la Philosophie de l’arithmétique. Mais force est de constater qu’à cette époque Husserl s’était déjà ouvertement éloigné de la définition cantorienne de Mannigfaltigkeit en s’approchant plutôt de Riemann, comme le montrent les nombreuses études et leçons qui lui sont consacrées. La Mannigfaltigkeitslehre de Husserl semble donc plus proche de la topologie que de la théorie des ensembles de Cantor. Ainsi, dans les Prolégomènes, Husserl introduit l’idée d’une Mannigfaltigkeitslehre pure en tant qu’entreprise méta-théorique dont le but est d’étudier les relations entre théories, à savoir la manière par laquelle une théorie est dérivée ou fondée à partir d’une autre. Dès lors, lorsque Husserl affirme que le meilleur exemple d’une telle théorie pure des multiplicités se trouve dans les mathématiques, cela risque donc de prêter à confusion. En effet, la théorie pure des théories ne saurait être simplement identifiée aux mathématiques qui relèvent de la topologie, mais considérée en tant que mathesis universalis. Bien qu’une telle position ne fût sans doute pas entièrement claire en 1900-01, Husserl ne tardera pas à relier explicitement théorie des multiplicités et mathesis universalis.En ce sens, la mathesis universalis, théorie des théories en général, est une discipline formelle, apriori et analytique qui a pour but l’analyse des catégories sémantiques suprêmes et des catégories d’objets qui leur sont corrélées. Dans cet article j’essayerai de comprendre le développement de la notion de
Silva,Elthon Gomes Fernandes da; Luna,Carmem Lúcia Cerqueira de
2009-01-01
OBJETIVO: avaliar de forma perceptivo-auditiva a voz dos cantores da noite do estilo musical Brega da cidade do Recife. MÉTODOS: pesquisa realizada na clínica-escola do curso de Fonoaudiologia da Universidade Federal de Pernambuco e na emissora de TV Rede Estação canal 14, ambos localizados na cidade do Recife. Trata-se de estudo observacional, transversal e descritivo. Com anuência de 13 cantores, maiores de 18 anos, houve gravação da voz falada na emissão sustentada de vogais e durante a mú...
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Zampieri Sueli A.
2002-01-01
Full Text Available Objetivo: deste estudo foi verificar os ajustes laríngeos realizados por cantores profissionais do gênero popular durante a imitação do canto em estilo lírico uma vez que muitas vezes ao ouvirmos um cantor popular interpretar uma música clássica percebemos que o mesmo faz modificações em sua qualidade vocal, tentando se aproximar, por imitação, do canto lírico. Forma de estudo: Clínico prospectivo. Material e método: Foram analisados 26 cantores profissionais do gênero popular, 10 homens e 16 mulheres, atuantes em baile. Foi aplicado questionário sobre perfil vocal, realizada análise perceptivo-auditiva e acústica das vozes e avaliação nasofibrolaringoscópica para análise da configuração laríngea nos estilos de canto popular e lírico. Resultado: A análise perceptivo-auditiva revelou que, ao cantar um trecho de música em estilo lírico, o cantor popular muda a qualidade vocal, aumentando o vibrato, o volume vocal, melhorando a ressonância vocal e sobrearticulando mais as palavras. Na análise espectrográfica não foi observada a ocorrência do formante do cantor em nenhuma das vozes. O ajuste laríngeo realizado por cantores populares ao imitarem o estilo de canto lírico foi predominantemente o aumento das constrições ântero-posterior e mediana sendo que a constrição mediana ocorreu mais no sexo masculino. Os valores de jitter e shimmer reduziram significantemente na vogal cantada em relação à vogal falada nas vozes femininas.
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Vanessa Veis Ribeiro
2012-02-01
Full Text Available OBJETIVO: identificar possíveis problemas vocais enfrentados por cantores evangélicos de Irati-PR. MÉTODO: foram analisados 42 questionários respondidos por cantores de Igreja, onde constavam dados de identificação e um questionário referente a 30 problemas vocais que poderiam ser enfrentados pelos cantores, tanto referentes aos problemas de saúde vocal, quanto relacionados à utilização específica da voz cantada. O questionário já é amplamente utilizado na literatura brasileira. RESULTADOS: a média de problemas referidos foi de 7,78. Mulheres referiram maior quantidade média de problemas vocais (média:9,65 do que homens (média:6,19, havendo diferença estatisticamente significante entre eles (p=0,03. Das 30 questões, apenas uma não foi assinalada por nenhum cantor. Os problemas vocais mais citados foram: dificuldades para atingir notas agudas ou graves (n=29;58%, falta de ar para terminar frases musicais (n=27;54%, sensação de aperto ou bola na garganta (n=25;50%, sensação de voz fraca ou forte demais para o canto coral (n=22;44%, e desafinação (n=18;42%. Além disso, foi possível observar que não houve aumento de problemas vocais com o avanço da idade ou do tempo de canto (p=0,003 e p=0,573, respectivamente. CONCLUSÃO: mulheres referiram mais problemas do que homens no que se refere à utilização da voz no canto coral. A quantidade de problemas vocais independeu da idade e do tempo de canto, o que pode indicar que a falta de técnica pode ser prejudicial até mesmo para indivíduos que cantam há pouco tempo. As queixas mais frequentes parecem ter maior relação com a falta de técnica vocal.PURPOSE: to identify possible problems faced by gospel singers of Irati-PR. METHOD: we analyzed 42 questionnaires answered by singers from the church, which contained identifying information and a questionnaire related to 30 vocal problems that could be faced by the singers, both related to vocal health problems and the
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Thaise Marcela Mota Barreto
2011-06-01
Full Text Available OBJETIVO: Investigar o perfil de saúde vocal de cantores amadores de louvores evangélicos com relação a queixas, hábitos e dificuldades vocais vivenciados durante a prática do canto em indivíduos dos gêneros masculino e feminino. MÉTODOS: Participaram 55 sujeitos, com idade entre 18 e 50 anos, os quais responderam a um questionário auto-aplicável sobre identificação de hábitos vocais e possíveis queixas de voz falada e cantada. RESULTADOS: Os cantores religiosos evangélicos amadores relataram queixas relacionadas à voz, tais como rouquidão constante (43,6%, pigarro constante (43,6%, falhas na voz (34,5%, perda de voz (18,1%, garganta seca (18,1%, voz fraca (14,5% e dor no pescoço e na nuca (12,7%. Durante a atividade de canto, as queixas mais reportadas foram as de dificuldades de alcançar notas agudas (45,4%, rouquidão (30,9% e falhas na voz (29%. Os hábitos vocais expostos pelos cantores foram os relativos a falar muito (63,6%, ingerir gelado habitualmente em excesso (43,6%, falar alto (40% e gritar com frequência (20%. Com relação à variável gênero, foram observadas diferenças significativas entre os grupos, relacionadas às variáveis falhas na voz, consumo de gelados e falar alto. CONCLUSÃO: Os cantores religiosos amadores, de ambos os gêneros, apresentam percentual expressivo de queixas e hábitos vocais que podem estar associados à falta de informações sobre os hábitos saudáveis de produção vocal e que podem contribuir para o desenvolvimento de alterações laríngeas e disfonia.PURPOSE: To investigate the vocal health profile of male and female gospel amateur singers regarding vocal complaints, habits and difficulties during singing practice. METHODS: Participants were 55 subjects with ages between 18 and 50 years, who answered a self-assessment questionnaire regarding the identification of vocal habits and possible complaints of spoken and sung voice. RESULTS: Amateur gospel singers reported vocal
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Ana Paula Dassie-Leite
2011-02-01
Full Text Available OBJETIVO: comparar hábitos de bem estar vocal entre cantores líricos e populares. MÉTODOS: foi realizado um trabalho exploratório descritivo, com a participação de 30 cantores líricos e 30 populares, estudantes da Universidade Livre de Música. Todos responderam um questionário com 13 questões objetivas sobre hábitos vocais e utilização profissional da voz. Os dados foram tabulados e analisados estatisticamente RESULTADOS: cantores líricos e populares têm hábitos semelhantes de alimentação, tabagismo, etilismo e uso de drogas recreacionais. Cantores populares têm menos horas de sono/repouso ao dia, sendo esta uma diferença estatisticamente significante. Este grupo também se diferenciou dos cantores líricos por terem, em sua maioria, outro trabalho com a utilização profissional da voz falada. Também foi estatisticamente significante a maior carga horária no uso da voz cantada em líricos, bem como o maior uso de recursos considerados mitos para melhorar a voz. Cantores populares conhecem menos o trabalho fonoaudiológico junto aos profissionais da voz. Os cantores líricos aquecem a voz com maior frequência em relação aos populares, embora este segundo grupo, tenha demonstrado que este hábito tem sido adquirido. Tanto cantores líricos quanto populares não desaquecem a voz sistematicamente, depois da atividade profissional. CONCLUSÃO: Cantores líricos e populares com formação musical específica têm, em geral, hábitos de bem estar vocal semelhantes e diferenciam-se principalmente em relação à carga horária de trabalho semanal, à utilização de mitos na tentativa de melhorar a voz, ao conhecimento sobre o trabalho fonoaudiológico e à prática de aquecimento e desaquecimento vocal.PURPOSE: to compare vocal welfare habits of lyric and popular singers. METHODS: it is a descriptive exploratory work, with the participation of 30 lyrical singers and 30 popular singers. All answered a questionnaire with 13
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ANTÔNIO MAURÍCIO DIAS DA COSTA
2013-12-01
Full Text Available Resumo: O artigo analisa a produção de memórias em torno das carreiras e performances de três cantores populares com trajetórias iniciadas em emissoras de rádio paraenses em meados do século XX. A pesquisa se concentrou no levantamento da história de vida dos cantores abordados. Buscou-se, com isso, avaliar o desenvolvimento de carreiras e performances como ajustes a padrões de profissionalização no mercado musical. Sucesso e/ou insucesso de inserção no mercado da música são analisados como aprendizado sociocultural, reavaliado continuamente pela memória.Palavras-chave: Cantores de Rádio – Memória – Carreira – Performance – Mercado Musical.Abstract: The article analyses the creation of memories concerning the careers and performances of three popular singers who started working in Pará state radio stations in the mid Twentieth Century. The research focused on the life history of these singers. Thus, it was possible to evaluate the development of careers and performances as adjustments to professionalizing patterns in the music business. Success and/or failure in joining the music business are analyzed as social and cultural apprenticeship, continually re-evaluated by memory.Keywords: Radio Singers – Memory – Career – Performance – Music Business.
Elissandro dos Santos Santana
2013-01-01
Esse trabalho é fruto do projeto Elaboração de Material Didático para o ensino de Língua Espanhola e o recorte é a música no ensino de espanhol como língua estrangeira (ELE): uma abordagem interdisciplinar e multicultural. O corpus de investigação, letras e biografias de cantores e cantoras censurados em ditaduras da América Latina, serviu como pano de fundo para a análise de algumas das metáforas presentes nas canções interpretadas por Mercedes Sosa e outros artistas de países latino-america...
Sala Maestros Cantores - Nuremberg (Alemania
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Loebermann, H.
1971-06-01
Full Text Available The Concert Hall is reached through the entrance vestibule, cloak room area and large foyer from which a spacious patio, treated as landscape, can be seen. Thus, the outside environment is incorporated Into the inside environment which lends great beauty to the unit formed by the entrance area and the foyer while at the same time it establishes a clear separation of the different functions that take place Inside. On this floor there is also another concert room, smaller in size as it holds only 500 persons, with its own foyer, bar, cloak room, etc.; a wide restaurant area, which can be widened towards the outdoor terraces; kitchens; meeting and rehearsal rooms, etc. With regards to the surrounding zone, the green areas existing or created around the Concert Hall help to maintain and emphasize its park like character, already helped by the «Leopold Forest» within which the site is found.El acceso a la Sala de Conciertos se realiza a través del vestíbulo de entrada, zona de guardarropas y gran «foyer» —en comunicación visual con un amplio patio tratado paisajísticamente, lográndose una incorporación del ambiente exterior, al del interior—, lo que da una gran vistosidad al conjunto formado por la zona de entrada y foyer, al mismo tiempo que establece una clara separación de las diferentes funciones que se desarrollan en el interior. En esta planta hay, además, otra sala de conciertos más pequeña —capaz para 500 personas—, con sus correspondientes foyer, bar, guardarropas, etc.; una amplia zona de restaurante —ampliable hacia las terrazas exteriores—; cocinas; salas de juntas, de ensayos; etc. Respecto al entorno exterior, las zonas verdes existentes o creadas alrededor de la Sala de Conciertos contribuyen a mantener y acusar el carácter de «parque», que ya ofrecía el «Bosque de Leopoldo» —lugar del emplazamiento—.
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Elthon Gomes Fernandes da Silva
2009-09-01
Full Text Available OBJETIVO: avaliar de forma perceptivo-auditiva a voz dos cantores da noite do estilo musical Brega da cidade do Recife. MÉTODOS: pesquisa realizada na clínica-escola do curso de Fonoaudiologia da Universidade Federal de Pernambuco e na emissora de TV Rede Estação canal 14, ambos localizados na cidade do Recife. Trata-se de estudo observacional, transversal e descritivo. Com anuência de 13 cantores, maiores de 18 anos, houve gravação da voz falada na emissão sustentada de vogais e durante a música "parabéns pra você"; na voz cantada realizou-se a gravação de trecho de música pertencente ao repertório do cantor. RESULTADOS: tempos de fonação reduzidos; modificações no pitch e loudness, comparando voz falada e cantada, ambos passando de adequados para, respectivamente, agudo e elevada; mudanças na ressonância, que era laringofaríngea e tornou-se equilibrada com compensação nasal. Houve manutenção do ataque vocal brusco; mudança do registro modal misto na voz habitual para o modal cabeça na voz profissional; predominância da qualidade vocal clara na voz falada e padrões adequados para modulação, projeção e articulação na voz cantada. CONCLUSÃO: os cantores da noite do estilo musical Brega da cidade do Recife apresentaram tempos de fonação reduzidos e tiveram, da voz falada para a voz cantada, mudanças no pitch, loudness e ressonância e manutenção das características vocais para ataque e registro. A qualidade vocal clara na voz falada foi predominante, assim como a modulação adequada, boa projeção e articulação precisa estavam entre os padrões vocais mais frequentes na voz cantada.PURPOSE: to evaluate the perceptual form concerning the voice of the singers from kitschy musical style in Recife. METHODS: clinical research was carried out in the clinic-school of Speech, Language and Hearing Sciences course in the Federal University of Pernambuco and Network TV Station channel 14, both located in the
Directory of Open Access Journals (Sweden)
Enio Lopes Mello
2009-01-01
Full Text Available OBJETIVO: Investigar os efeitos da aplicação de um Programa de Desenvolvimento da Coordenação Motora, baseado em Piret e Béziers, na voz do cantor lírico. MÉTODOS: Cinco cantores líricos profissionais executaram uma ária de ópera, de livre escolha, que foi filmada. Em seguida responderam a uma questão sobre a propriocepção ao cantar. Durante um mês submeteram-se ao Programa de Desenvolvimento da Coordenação Motora e ao final gravaram novamente a mesma ária e responderam a mesma questão. As filmagens foram enviadas para nove juizes profissionais (três fonoaudiólogos, três fisioterapeutas e três professores de canto que avaliaram a integração corpo e voz dos cantores por meio de análise perceptivo-auditiva e visual. Os cantores, após assistirem às duas filmagens, fizeram outra auto-avaliação. RESULTADOS: Na avaliação dos juízes: as duas sopranos, a mezzo-soprano e o baixo melhoraram a projeção da voz; o tenor melhorou a ressonância e o baixo melhorou também a respiração; com exceção do baixo todos ficaram com os gestos mais livres. Segundo relato dos cantores, os exercícios garantiram maior percepção da tensão muscular durante o canto e isso possibilitou melhor controle dos gestos. CONCLUSÃO: De acordo com a avaliação subjetiva os ajustes posturais, oriundos da execução dos exercícios da coordenação motora, provavelmente garantiram abertura da caixa torácica e melhoraram as condições da respiração dos cantores, durante o canto; este fato pode ter favorecido a verticalização da ressonância e a projeção da voz.PURPOSE: To investigate the effects of the application of a Motor Coordination Development Program, based on Piret and Béziers, on the voice of lyric singers. METHODS: Five professional lyric singers performed an opera aria of their choice, which was filmed. Next, they answered a question regarding their proprioception when singing. They were submitted to the Motor Coordination
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Robson de Paula
2007-12-01
Full Text Available Em especial nas duas últimas décadas, visando atingir o segmento evangélico que está se expandindo rapidamente no Brasil, várias empresas, de diferentes setores, se especializaram na fabricação de "produtos evangélicos". No conjunto dessas empresas, a indústria fonográfica tem se destacado e contribuído, juntamente com as rádios do segmento, para a adoção de um estilo mais industrial na produção e na divulgação dos álbuns evangélicos. Neste artigo, a partir da trajetória de três cantores evangélicos, procuro compreender a maneira como eles se posicionam em relação às novas condições profissionais mencionadas. Além disso, pretendo indicar alguns problemas e "fissuras" que passaram a ocorrer no meio musical evangélico a partir da incorporação de uma lógica mercantil e industrial.Over the two past decades, in special, several companies from different production areas, aiming to reach the evangelical segment, which is expanding rapidly in Brazil, have specialized in manufacturing evangelical products. Among these companies, the music industry has given an outstanding contribution, as well as the radios in this segment, in order to adopt a more industrial style in the production and broadcasting of the evangelical albums. Through the analysis of the career of three Gospel singers, the objective of this article is to understand the way these artists are behaving regarding the new professional conditions previously mentioned. Besides, our intention is also to point out some problems and "ruptures" occurring in the musical universe of the evangelists, since a mercantile and industrial logic was incorporated to this universe.
On Arithmetic in the Cantor-Lukasiewicz Fuzzy Set Theory
Czech Academy of Sciences Publication Activity Database
Hájek, Petr
2005-01-01
Roč. 44, č. 6 (2005), s. 763-782 ISSN 1432-0665 R&D Projects: GA AV ČR IAA1030004 Institutional research plan: CEZ:AV0Z10300504 Keywords : Lukasiewicz logic * fuzzy set theory * contradiction Subject RIV: BA - General Mathematics Impact factor: 0.490, year: 2005
The Jukes-Cantor Model of Molecular Evolution
Erickson, Keith
2010-01-01
The material in this module introduces students to some of the mathematical tools used to examine molecular evolution. This topic is standard fare in many mathematical biology or bioinformatics classes, but could also be suitable for classes in linear algebra or probability. While coursework in matrix algebra, Markov processes, Monte Carlo…
The structure of a Cantor-like set with overlap
Energy Technology Data Exchange (ETDEWEB)
Dai Meifeng [Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013 (China)] e-mail: daimf0225@163.com; Tian Lixin [Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013 (China)] e-mail: tianlx@ujs.edu.cn
2005-10-01
In this paper, for the contracting similarities S{sub 0}(x)=x5, S{sub 1}(x)=x+{lambda}5, S{sub 2}(x)=x+25, S{sub 3}(x)=x+4-{lambda}5 and S{sub 4}(x)=x+45, where rational number {lambda}-bar [0,23], the Hausdorff dimension and the structure of E{sub {lambda}}, an invariant set with respect to S{sub 0}, S{sub 1}, S{sub 2}, S{sub 3}, S{sub 4} were studied and some new results were reported. Relation to El Naschie's quantum fractal is also discussed.
3-Adic Cantor function on local fields and its p-adic derivative
International Nuclear Information System (INIS)
Qiu Hua; Su Weiyi
2007-01-01
The problem of 'rate of change' for fractal functions is a very important one in the study of local fields. In 1992, Su Weiyi has given a definition of derivative by virtue of pseudo-differential operators [Su W. Pseudo-differential operators and derivatives on locally compact Vilenkin groups. Sci China [series A] 1992;35(7A):826-36. Su W. Gibbs-Butzer derivatives and the applications. Numer Funct Anal Optimiz 1995;16(5 and 6):805-24. [2,3
Digital Repository Service at National Institute of Oceanography (India)
GirishKumar; Kunal, S.P.; Menezes, M.R.
Kawakawa Euthynnus affinis is an epipelagic migratory tuna species, widely distributed in the tropical and subtropical waters of the Indo-Pacific region. It constitutes the largest tuna fishery in Indian waters. In present study, restriction...
3-Adic Cantor function on local fields and its p-adic derivative
Energy Technology Data Exchange (ETDEWEB)
Qiu Hua [Department of Mathematics, Nanjing University, Nanjing 210093 (China)]. E-mail: huatony@eyou.com; Su Weiyi [Department of Mathematics, Nanjing University, Nanjing 210093 (China)]. E-mail: suqiu@nju.edu.cn
2007-08-15
The problem of 'rate of change' for fractal functions is a very important one in the study of local fields. In 1992, Su Weiyi has given a definition of derivative by virtue of pseudo-differential operators [Su W. Pseudo-differential operators and derivatives on locally compact Vilenkin groups. Sci China [series A] 1992;35(7A):826-36. Su W. Gibbs-Butzer derivatives and the applications. Numer Funct Anal Optimiz 1995;16(5 and 6):805-24. [2,3
Hierarchical Cantor set in the large scale structure with torus geometry
Energy Technology Data Exchange (ETDEWEB)
Murdzek, R. [Physics Department, ' Al. I. Cuza' University, Blvd. Carol I, Nr. 11, Iassy 700506 (Romania)], E-mail: rmurdzek@yahoo.com
2008-12-15
The formation of large scale structures is considered within a model with string on toroidal space-time. Firstly, the space-time geometry is presented. In this geometry, the Universe is represented by a string describing a torus surface. Thereafter, the large scale structure of the Universe is derived from the string oscillations. The results are in agreement with the cellular structure of the large scale distribution and with the theory of a Cantorian space-time.
Una construcción alternativa al continuo de Cantor: el continuo intuicionista
Valencia, Angela Patricia
2010-01-01
En este trabajo se retoman las características globales del continuo peirceano, como observables en la elaboración del continuo intuicionista. Este trabajo es de carácter descriptivo, dado que su propósito es principalmente describir rasgos del continuo intuicionista o Brouweriano, para luego identificar algunos los elementos que permitiran reconocer aspectos sintéticos del continuo Peirceano en este modelo.
Fully Printed 3D Cube Cantor Fractal Rectenna for Ambient RF Energy Harvesting Application
Bakytbekov, Azamat
2017-01-01
Internet of Things (IoT) is a new emerging paradigm which requires billions of wirelessly connected devices that communicate with each other in a complex radio-frequency (RF) environment. Considering the huge number of devices, recharging batteries
Serra, Reviewed By Martin J.
2000-01-01
Genomics is one of the most rapidly expanding areas of science. This book is an outgrowth of a series of lectures given by one of the former heads (CRC) of the Human Genome Initiative. The book is designed to reach a wide audience, from biologists with little chemical or physical science background through engineers, computer scientists, and physicists with little current exposure to the chemical or biological principles of genetics. The text starts with a basic review of the chemical and biological properties of DNA. However, without either a biochemistry background or a supplemental biochemistry text, this chapter and much of the rest of the text would be difficult to digest. The second chapter is designed to put DNA into the context of the larger chromosomal unit. Specialized chromosomal structures and sequences (centromeres, telomeres) are introduced, leading to a section on chromosome organization and purification. The next 4 chapters cover the physical (hybridization, electrophoresis), chemical (polymerase chain reaction), and biological (genetic) techniques that provide the backbone of genomic analysis. These chapters cover in significant detail the fundamental principles underlying each technique and provide a firm background for the remainder of the text. Chapters 79 consider the need and methods for the development of physical maps. Chapter 7 primarily discusses chromosomal localization techniques, including in situ hybridization, FISH, and chromosome paintings. The next two chapters focus on the development of libraries and clones. In particular, Chapter 9 considers the limitations of current mapping and clone production. The current state and future of DNA sequencing is covered in the next three chapters. The first considers the current methods of DNA sequencing - especially gel-based methods of analysis, although other possible approaches (mass spectrometry) are introduced. Much of the chapter addresses the limitations of current methods, including analysis of error in sequencing and current bottlenecks in the sequencing effort. The next chapter describes the steps necessary to scale current technologies for the sequencing of entire genomes. Chapter 12 examines alternate methods for DNA sequencing. Initially, methods of single-molecule sequencing and sequencing by microscopy are introduced; the majority of the chapter is devoted to the development of DNA sequencing methods using chip microarrays and hybridization. The remaining chapters (13-15) consider the uses and analysis of DNA sequence information. The initial focus is on the identification of genes. Several examples are given of the use of DNA sequence information for diagnosis of inherited or infectious diseases. The sequence-specific manipulation of DNA is discussed in Chapter 14. The final chapter deals with the implications of large-scale sequencing, including methods for identifying genes and finding errors in DNA sequences, to the development of computer algorithms for the interpretation of DNA sequence information. The text figures are black and white line drawings that, although clearly done, seem a bit primitive for 1999. While I appreciated the simplicity of the drawings, many students accustomed to more colorful presentations will find them wanting. The four color figures in the center of the text seem an afterthought and add little to the text's clarity. Each chapter has a set of additional reading sources, mostly primary sources. Often, specialized topics are offset into boxes that provide clarification and amplification without cluttering the text. An appendix includes a list of the Web-based database resources. As an undergraduate instructor who has previously taught biochemistry, molecular biology, and a course on the human genome, I found many interesting tidbits and amplifications throughout the text. I would recommend this book as a text for an advanced undergraduate or beginning graduate course in genomics. Although the text works though several examples of genetic and genome analysis, additional problem/homework sets would need to be developed to ensure student comprehension. The text steers clear of the ethical implications of the Human Genome Initiative and remains true to its subtitle The Science and Technology .
Directory of Open Access Journals (Sweden)
Belle Christina C.
2017-01-01
Full Text Available The Oriental Weatherfish is considered a globally invasive fish species. In Europe, several reported feral populations of Oriental Weatherfish display an overlapping distribution range with native weatherfish Misgurnus fossilis, a declining species of international conservation and aquatic management concern. Morphologically distinguishing the different weatherfish species can be difficult, as their coloration is highly variable, many species reveal high phenotypic plasticity, and morphological traits like coloration might be not obvious or might be degraded during field sampling and after preservation. Herein, we analysed suspicious weatherfish specimens from southern Germany, demonstrating the usefulness of molecular genetic species identifications in this genus. We present the first molecular genetic species record of Misgurnus anguillicaudatus in Central Europe, and confirm the range expansion of Oriental Weatherfish into the river Inn catchment in southern Germany. As accurate species identification is crucial both in the context of monitoring and conserving native endangered species, and in early detection and prevention of biological invasion, we suggest the standard use of genetic species identification if morphological traits are not obvious.
Digital Repository Service at National Institute of Oceanography (India)
GirishKumar; Kunal, S.P.; Menezes, M.R.; Meena, R.
) are the two important pathways of organic matter sulfurization. Compared to assimilatory biosynthesized sulfur (Dinur et al., 1981), organo-sulfur compounds formed by intra- and intermolecular incorporation of sulfur into organic matter during diagenesis....F., Sinnighé-Damste, J.S., Reiss,C., Maxwell, J.R., Grimalt, J.O., 1997. Sulfur-binding in recent environments: II. Speciation of sulfur and iron and implications for the occurrence of organo-sulfur compounds. Geochimica et Cosmochimica Acta 61, 4769...
Directory of Open Access Journals (Sweden)
Subrat Debata
2015-06-01
Full Text Available Cantor’s leaf-nosed bat is distributed in the South Asian and Southeast Asian region and recorded from few localities of India including one locality record from Bihar in Eastern India. Here we report its range extension in Eastern India and first record from Odisha. We recommend that the chiropteran diversity of Odisha need to be assessed for further inventories, particularly in the Eastern Ghats range.
Inkjet-Printed Ultra Wide Band Fractal Antennas
Maza, Armando Rodriguez
2012-01-01
reduction, a Cantor-based fractal antenna which performs a larger bandwidth compared to previously published UWB Cantor fractal monopole antenna, and a 3D loop fractal antenna which attains miniaturization, impedance matching and multiband characteristics
Partially ordered sets, transfinite topology and the dimension of Cantorian-fractal spacetime
Energy Technology Data Exchange (ETDEWEB)
Marek-Crnjac, L. [Institute of Mathematics and Physics, University of Maribor (Slovenia)], E-mail: leila.marek@guest.arnes.si
2009-11-15
We introduce partially ordered sets and relate them to random Cantor sets of E-infinity theory. Subsequently we derive the dimensionality of Cantorian-fractal spacetime using posets and E-infinity transfinite Cantor sets.
Fiala, Martin
2011-01-01
Properties of Cantor function Author: Martin Fiala Supervisor: Stanislav Hencl Abstract: In the present thesis we study main properties of the Can- tor function (sometimes called Cantor Devil's staircase in popular lit- erature), named after significant german mathematician Georg Cantor ( 3 March 1845 in St Petersburg, 6 Jan 1918 in Halle). 1
Molina Campodónico, Ana María
2015-01-01
Aunque el Perú se ha constituido históricamente como un país centralista y criollo, la historia literaria peruana no puede ser entendida como un sistema literario único y homogéneo. Hacerlo trae como consecuencia que las manifestaciones literarias de las provincias del país y de las regiones periféricas (como la Amazonía) se encuentren postergadas o relegadas de la literatura peruana oficial, cuyo centro de difusión cultural es la ciudad de Lima. En este trabajo voy a analizar las manifestac...
Directory of Open Access Journals (Sweden)
Martha Abreu
Full Text Available A partir da trajetória, das composições e do repertório musical de Eduardo Sebastião das Neves, conhecido como o "Crioulo Dudu", pretendo discutir as possibilidades de expressão política de um músico negro na Primeira República. Levando em consideração os debates em torno do Atlântico Negro, o crescimento do mercado editorial e da indústria fonográfica, foi possível situar Eduardo das Neves como um produtor atuante do campo musical popular que se construía entre o final do século XIX e início do XX. Dudu conferiu ao mundo musical dimensões políticas especiais, ao criar e divulgar canções que valorizavam o patriotismo e discutiam, de uma forma irônica e irreverente, as relações raciais e a identidade do homem negro no pós-abolição. O exame da trajetória e da obra musical de Dudu permite repensar antigas concepções sobre participação política e identidade negra na Primeira República.
Pramana – Journal of Physics | Indian Academy of Sciences
Indian Academy of Sciences (India)
... functions like the Cantor staircase. The functions like the Cantor staircase function occur naturally as solutions of -differential equations. Hence the latter can be used to model fractal-time processes or sublinear dynamical systems. We discuss construction and solutions of some fractal differential equations of the form.
Directory of Open Access Journals (Sweden)
Meng Zhi-Jun
2016-01-01
Full Text Available This paper addresses a new application of the local fractional variational iteration algorithm III to solve the local fractional diffusion equation defined on Cantor sets associated with non-differentiable heat transfer.
Harmonic excitations in quasicrystals
International Nuclear Information System (INIS)
Luck, J.M.
1986-03-01
The harmonic excitations (phonons) of quasicrystals are studied in a simple one-dimensional model. The spectrum is a Cantor set, which exhibits selfsimilarity properties. The eigenstates are generically ''critical'', i.e. neither extended nor localized
Farlow, Stanley J
2014-01-01
Students and puzzle enthusiasts will get plenty of enjoyment plus some painless mathematical instruction from 28 conundrums, including The Curve That Shook the World, Space Travel in a Wineglass, and Through Cantor's Looking Glass.
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.
Indian Academy of Sciences (India)
IAS Admin
(2) 'Number theory' means different things to different people. It is primarily the study of ... topology on that set), and the other dealing with 'algebraic' topology which is the ... Weierstrass, Dedekind, Cauchy, Cantor and others. They under-.
2013-01-01
Opportunity Directors as well” ( Cantor , 2011). Bringing these various leaders together has been helpful in coordinating DoD diversity efforts. DDWG...Pearson Education, Prentice Hall, 2011. Cantor , Bradley, “Government-Wide Initiative to Promote Diversity and Inclusion,” DoDLive (website), August... George V., Report to the President: The Crisis in Human Capital, Washington, D.C.: U.S. Senate Subcommittee on Oversight of Government Management
Cognitive Rehabilitation for Mild Traumatic Brain Injury
2009-06-08
Cate Miller, Dr. Maria Mouratidis, Dr. George Prigatano, Dr. Carole Roth, LTC Michael Russell, LT Rick Schobitz, Dr. Joel Scholten, CAPT Edward Simmer...New York: The Guilford Press. Gordon W.A, Zafonte R., Cicerone, K., Cantor , J., Brown, M., Lombard, L., Goldsmith, R, & Chandna, T. (2006...Traumatic brain injury rehabilitation: State of the science. American Journal of Physical Medicine and Rehabilitation, 85, 343–82. Gordon, W.A., Cantor
On Some Philosophical Aspects of the Background to Georg Cantor’s theory of sets
Tapp, Christian
2011-01-01
Georg Cantor a cherché à assurer les fondements de sa théorie des ensembles. Cet article présente les differentiations cantoriennes concernant la notion d’infinité et une perspective historique de l’émergence de sa notion d’ensemble. Georg Cantor sought secure foundations for his set theory. This article presents an account of Cantor’s differentiations concerning the notion of infinity and a tentative historical parsepctive on his notion of set.
[Some remarks on the theory of sets by Richard Dedekind and Stanisław Leśniewski].
Obojska, Lidia
2014-01-01
Mereology, is a part-whole theory, also called the theory of collective sets. It was founded in 1916 by Stanisław Leśniewski and this is an alternative theory versus the classical set theory by Georg Cantor. These two theories are usually teamed up together as Leśniewski himself was referring to the concept of the set by Cantor and Cantor is considered the "main" ideologist of the set theory. However, when analyzing the original texts of various authors, it seems that the very concept of a collective set is closer to the idea of Richard Dedekind rather than that of Georg Cantor. It is known that Cantor borrowed some concepts on the notion of set from Dedekind, whose ideas were also known to Leśniewski, however, there is no study on this topic. This work is therefore an attempt to compare some set-theoretical concepts of both of these authors, i.e. S. Leśiewski and R. Dedekind and the presentation of their convergence.
Effect of fractal disorder on static friction in the Tomlinson model.
Eriksen, Jon Alm; Biswas, Soumyajyoti; Chakrabarti, Bikas K
2010-10-01
We propose a modified version of the Tomlinson model for static friction between two chains of beads. We introduce disorder in terms of vacancies in the chain, and distribute the remaining beads in a scale invariant way. For this we utilize a generalized random Cantor set. We relate the static friction force to the overlap distribution of the chains, and discuss how the distribution of the static friction force depends on the distribution of the remaining beads. For the random Cantor set we find a scaled distribution which is independent on the generation of the set.
Accelerated Exploration of Multi-principal Element Alloys for Structural Applications (Postprint)
2015-04-27
S. Ranganathan, High Entropy Alloys, Butterworth-Hei- nemann, London, UK, 2014. [6] B. Cantor , I.T.H. Chang, P. Knight, A.J.B. Vincent, Mater. Sci...Kristallogr.-Cryst. Mater. 230 (2015) 55–68. [14] B. Cantor , Entropy 16 (2014) 4749–4768. [15] O.N. Senkov, C. Woodward, D.B. Miracle, JOM. 66 (2014...2014) 1973–1983. [21] F. Otto, Y. Yang, H. Bei, E.P. George , Acta Mater. 61 (2013) 2628–2638. [22] K.Y. Tsai, M.H. Tsai, J.W. Yeh, Acta Mater. 61
Stress, Shock, and Adaptation in the Twentieth Century
DEFF Research Database (Denmark)
Leese, Peter
2016-01-01
Review article on: David Cantor and Edmund Ramsden, eds. Stress, Shock, and Adaptation in the Twentieth Century. Rochester Studies in Medical History. Rochester, N.Y.: University of Rochester Press, 2014. vi + 367 pp. Ill. $125.00 (978-1-58046-476-5).......Review article on: David Cantor and Edmund Ramsden, eds. Stress, Shock, and Adaptation in the Twentieth Century. Rochester Studies in Medical History. Rochester, N.Y.: University of Rochester Press, 2014. vi + 367 pp. Ill. $125.00 (978-1-58046-476-5)....
Inkjet-Printed Ultra Wide Band Fractal Antennas
Maza, Armando Rodriguez
2012-05-01
In this work, Paper-based inkjet-printed Ultra-wide band (UWB) fractal antennas are presented. Three new designs, a combined UWB fractal monopole based on the fourth order Koch Snowflake fractal which utilizes a Sierpinski Gasket fractal for ink reduction, a Cantor-based fractal antenna which performs a larger bandwidth compared to previously published UWB Cantor fractal monopole antenna, and a 3D loop fractal antenna which attains miniaturization, impedance matching and multiband characteristics. It is shown that fractals prove to be a successful method of reducing fabrication cost in inkjet printed antennas while retaining or enhancing printed antenna performance.
Charles L. Brewer Award for Distinguished Teaching of Psychology: Neil Lutsky
American Psychologist, 2011
2011-01-01
The American Psychological Foundation (APF) Charles L. Brewer Award for Distinguished Teaching of Psychology recognizes an outstanding career contribution to the teaching of psychology. The 2011 recipient of the Distinguished Teaching Award is Neil Lutsky. Dorothy W. Cantor, president of the APF, will present the APF Distinguished Teaching Award…
Charles L. Brewer Award for Distinguished Teaching of Psychology
American Psychologist, 2009
2009-01-01
The American Psychological Foundation (APF) Charles L. Brewer Distinguished Teaching of Psychology Award recognizes an outstanding career contribution to the teaching of psychology. The 2009 recipient of the Distinguished Teaching Award is William Buskist. Dorothy W. Cantor, president of the APF, will present the APF Teaching Award at the 117th…
Two-fractal overlap time series: Earthquakes and market crashes
Indian Academy of Sciences (India)
velocity over the other and time series of stock prices. An anticipation method for some of the crashes have been proposed here, based on these observations. Keywords. Cantor set; time series; earthquake; market crash. PACS Nos 05.00; 02.50.-r; 64.60; 89.65.Gh; 95.75.Wx. 1. Introduction. Capturing dynamical patterns of ...
Indian Academy of Sciences (India)
Home; Journals; Resonance – Journal of Science Education. Arindama Singh. Articles written in Resonance – Journal of Science Education. Volume 9 Issue 8 August 2004 pp 8-17 General Article. Cantor's Little Theorem · Arindama Singh · More Details Fulltext PDF. Volume 22 Issue 12 December 2017 pp 1205-1211 ...
2006-01-01
Kontserdist "Isad ja pojad - Uno, Tõnu ja Marko Naissoo" 11. nov. ja Timo Korhoneni kontserdist 18. nov. Vanemuise kontserdisaalis, vanamuusikaansambli Cantores Vagantes kontserdist (külalisesinejaks Fumikata Saito) 12. nov. Tartu Linnamuuseumis ja Tallinna kitarrikvarteti (Heiki Mätlik, Julia Kahro, Kristo Käo, Jorma Puusaag) kontserdist 16. nov. TÜ Ajaloo Muuseumis
Sang, Joosep
2000-01-01
Stuudio Cantores Vagantese kontserdist Mustpeade Majas 18. dets. Uuest heliplaadist "Holy Lake". Euroraadio jõulukontserdi otseülekandest Estonia kontserdisaalist 17. dets. 9. dets. Kadrioru lossis toimunud UNICEFi heategevuskontserdist. 17. dets. toimub Adamson-Ericu muuseumis kontsert sarjast "Barokkmaastikud". M. Voitese kontserdist Pärnus. TAMi uuest heliplaadist "Anno Domini", jõulukontserdist 23. dets. Kaarli kirikus
Resonance – Journal of Science Education | News
Indian Academy of Sciences (India)
Home; Journals; Resonance – Journal of Science Education; Volume 19; Issue 11. Issue front cover thumbnail Issue back cover thumbnail. Volume 19, Issue 11. November 2014, pages 971-1070. pp 971-971 Editorial. Editorial · K L Sebastian · More Details Fulltext PDF. pp 972-973 Article-in-a-Box. Georg Cantor ...
The superquantum theory. Candidate for the theory of everything. 2. ed.
International Nuclear Information System (INIS)
Bulut, Shevkinaz; Gorgels, Arno
2008-05-01
The following topics are dealt with: The search for the universal concept of the world formula, starting of the new physics era by the superquantum theory, number distance and potential field, set theory, the possible solution of the century problem of Cantor, gravitation, derivation of the imaginary unit j 2 =-1, background noise, eigenspaces, unification of the natural forces. (HSI)
On Counting the Rational Numbers
Almada, Carlos
2010-01-01
In this study, we show how to construct a function from the set N of natural numbers that explicitly counts the set Q[superscript +] of all positive rational numbers using a very intuitive approach. The function has the appeal of Cantor's function and it has the advantage that any high school student can understand the main idea at a glance…
Characterization of Pseudomonas aeruginosa PB112 (JN996498 ...
African Journals Online (AJOL)
Saradindu Panda
www.ebi.ac.uk/clustalw) and analyzed by ClustalW software (Thompson et al., 1994). Evolutionary distances were calculated using the method of Jukes and Cantor (Jukes et al., 1969) and phylogenetic tree was constructed following Tamura et al.
Divergence, spacetime dimension and fractal structure
International Nuclear Information System (INIS)
Nakamura, Hiroshi
2000-01-01
With a Cantor spacetime in mind, we assume the dimension of spacetime to be slightly smaller than four. Within the framework of QED, this dimension can be determined by calculating Feynman diagrams. We infer that the dimension of spacetime may be influenced by holes in space. (author)
Indian Academy of Sciences (India)
Transfinite Numbers. What is Infinity? S M Srivastava. In a series of revolutionary articles written during the last quarter of the nineteenth century, the great Ger- man mathematician Georg Cantor removed the age-old mistrust of infinity and created an exceptionally beau- tiful and useful theory of transfinite numbers. This is.
Indian Academy of Sciences (India)
this is a characteristic difference between finite and infinite sets and created an immensely useful branch of mathematics based on this idea which had a great impact on the whole of mathe- matics. For example, the question of what is a number (finite or infinite) is almost a philosophical one. However Cantor's work turned it ...
Resonance – Journal of Science Education | Indian Academy of ...
Indian Academy of Sciences (India)
Home; Journals; Resonance – Journal of Science Education; Volume 19; Issue 11. How did Cantor Discover Set Theory and Topology? S M Srivastava. General Article Volume 19 Issue 11 November 2014 pp 977-999. Fulltext. Click here to view fulltext PDF. Permanent link:
Szegö's theorem on Parreau-Widom sets
DEFF Research Database (Denmark)
Christiansen, Jacob Stordal
2012-01-01
In this paper, we generalize Szego's theorem for orthogonal polynomials on the real line to infinite gap sets of Parreau–Widom type. This notion includes Cantor sets of positive measure. The Szego condition involves the equilibrium measure which in turn is absolutely continuous. Our approach builds...
2015-01-01
more rapidly accelerate progress. Acknowledgements The author acknowledges useful discussions on this topic with O. Senkov, U. Glatzel, E. George and J...633–648. 4. B. Cantor , I. T. H. Chang, P. Knight and A. J. B. Vincent: ‘Microstructural development in equiatomic multicomponent alloys’, Mater
Infinity and the mind the science and philosophy of the infinite
Rucker, Rudy
1984-01-01
Infinity and the mind is a fascinating introduction to different number systems, to set theory, to logical paradoxes, to the ideas behind artificial intelligence. It includes detailed discussions of George Cantor's transfinite cardinal numbers and Kurt Gödel's Incompleteness Theorems. And it also relates our ideas of infinity to the great mystic traditions.
An Initial Look at Alternative Computing Technologies for the Intelligence Community
2014-01-01
et al., “Overview of the SpiNNaker System Architecture,” IEEE Transactions on Computers, Vol. 62, pp. 2454–2467, 2013 [49] Gardner, T. S., Cantor , C...of dynamical evolution,” Physica D: Nonlinear Phenomena, Vol. 120, pp. 188–195, 1998 [82] Marr, B., George , J., Degnan, B., Anderson, D. V., & Hasler
Bolzano's Approach to the Paradoxes of Infinity: Implications for Teaching
Waldegg, Guillermina
2005-01-01
In this paper we analyze excerpts of "Paradoxes of the Infinite", the posthumous work of Bernard Bolzano (1781-1848), in order to show that Georg Cantor's (1845-1918) approach to the problem of defining actual mathematical infinity is not the most natural. In fact, Bolzano's approach to the paradoxes of infinity is more intuitive, while remaining…
U.S. Foreign Aid to the Palestinians
2009-04-29
article by five Members of Congress: Ileana Ros-Lehtinen, John A. Boehner, Eric Cantor , Mike Pence, and Thaddeus McCotter, “Ros-Lehtinen et al.: Cut...continued commitment to a two-state solution, and has appointed former Senator George Mitchell as its Special Envoy for Middle East Peace
Wanko, Jeffrey J.
2009-01-01
This article provides a historical context for the debate between Georg Cantor and Leopold Kronecker regarding the cardinality of different infinities and incorporates the short story "Welcome to the Hotel Infinity," which uses the analogy of a hotel with an infinite number of rooms to help explain this concept. Wanko makes use of this history and…
Function of ZFAND3 in the DNA Damage Response
2013-06-01
Cantor SB, Naka- tani Y, Livingston DM. 2006. Multifactorial contribu- tions to an acute DNA damage response by BRCA1/ BARD1-containing complexes. Genes...Cutaneous T Cell Lymphoma. PLoS ONE 8(7): e68915. doi:10.1371/journal.pone.0068915 Editor: Sue Cotterill, St. Georges University of London, United
Pathogenetic Influences of Human Herpesvirus 8 (HHV-8) in Prostate Cancer Progression
2012-05-25
Science 1974;186:1213-1215. 11. Wilson JD, Griffin JE, Leshin M, George FW. Role of gonadal hormones in development of the sexual phenotypes. Hum Genet... Cantor A, Muro-Cacho C, Livingston S, Karras J, Pow-Sang J, Jove R. Constitutive activation of Stat3 in human prostate tumors and cell lines: direct
Constructing and applying the fractal pied de poule (houndstooth)
Feijs, L.M.G.; Toeters, M.J.; Hart, G.; Sarhangi, R.
2013-01-01
Time is ready for a fractal version of pied de poule; it is almost "in the air". Taking inspiration from the Cantor set, and using the analysis of the classical pattern, we obtain a family of elegant new fractal Pied de Poules. We calculate the fractal dimension and develop an attractive fashion
Directory of Open Access Journals (Sweden)
Hossein Jafari
2016-04-01
Full Text Available The non-differentiable solution of the linear and non-linear partial differential equations on Cantor sets is implemented in this article. The reduced differential transform method is considered in the local fractional operator sense. The four illustrative examples are given to show the efficiency and accuracy features of the presented technique to solve local fractional partial differential equations.
Derived rules for predicative set theory: An application of sheaves
van den Berg, B.; Moerdijk, I.
2012-01-01
We show how one may establish proof-theoretic results for constructive Zermelo–Fraenkel set theory, such as the compactness rule for Cantor space and the Bar Induction rule for Baire space, by constructing sheaf models and using their preservation properties.
Nakula's Extraordinary Talent -44 ...
Indian Academy of Sciences (India)
fractions min of integers m and n with n ~ O. The set of all rational numbers is denoted by Q. ..... (3) The Cantor set: A very well-known and popular example of an uncountable subset of .... Number Theory and in History. McGraw-Hill. New York ...
Bernays, Dooyeweerd and Gödel – the remarkable convergence in ...
African Journals Online (AJOL)
... such as when Gödel observes something quasi-spatial character of sets. It is shown that Dooyeweerd's theory of modal aspects provides a philosophical ... Such attempts have to call upon Cantor's proof on the non-denumerability of the real ...
A perspective on nonlinear dynamics
Indian Academy of Sciences (India)
equations, using a non-local field theory. In the final article in this ... where time evolution takes place on Cantor-like fractal subsets of the real time line and sets up a new calculus called the Fα-calculus for the analysis of such equations.
Energy Technology Data Exchange (ETDEWEB)
Bulut, Shevkinaz; Gorgels, Arno
2008-05-15
The following topics are dealt with: The search for the universal concept of the world formula, starting of the new physics era by the superquantum theory, number distance and potential field, set theory, the possible solution of the century problem of Cantor, gravitation, derivation of the imaginary unit j{sup 2}=-1, background noise, eigenspaces, unification of the natural forces. (HSI)
Indian Academy of Sciences (India)
The theory of Fourier series deals with periodic functions. By a periodic ..... including Dirichlet, Riemann and Cantor occupied themselves with the problem of ... to converge only on a set which is negligible in a certain sense (Le. of measure ...
INVESTIGATION OF FORMATION CONSTANT OF COMPLEX OF A ...
African Journals Online (AJOL)
Preferred Customer
Theory. For the first time Abdollahi used RAFA for determination of complex ... measure of the lack of fit of a principal component model to a data set. ..... Cantor, C.R.; Schimmel, P.R. Biophysical Chemistry, Freeman, W.H. Company: San.
Li and Yorke chaos with respect to the cardinality of the scrambled sets
Energy Technology Data Exchange (ETDEWEB)
Garcia Guirao, Juan Luis [Department of Mathematics, University of Castilla-La Mancha, 16071-Cuenca (Castilla-La Mancha) (Spain)]. E-mail: jlguirao@tel-cu.uclm.es; Lampart, Marek [Mathematical Institute, Silesian University at Opava, Na Rybnicku 1, 746 01 Opava (Czech Republic)]. E-mail: marek.lampart@math.slu.cz
2005-06-01
In the present paper we study Li and Yorke chaos on several spaces in connection with the cardinality of its scrambled sets. We prove that there is a map on a Cantor set and a map on a two-dimensional arcwise connected continuum (with empty interior) such that each scrambled set contains exactly two points.
Noncommutative Cantor–Bendixson derivatives and scattered C⁎-algebras
Czech Academy of Sciences Publication Activity Database
Ghasemi, Saeed; Koszmider, P.
2018-01-01
Roč. 240, 15 May (2018), s. 183-209 ISSN 0166-8641 Institutional support: RVO:67985840 Keywords : C*-algebras * Cantor-Bendixson derivative * scattered locally compact spaces Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.377, year: 2016 https://www.sciencedirect.com/science/ article /pii/S0166864118301688?via%3Dihub
D-dimensional moments of inertia
International Nuclear Information System (INIS)
Bender, C.M.; Mead, L.R.
1995-01-01
We calculate the moments of inertia of D-dimensional spheres and spherical shells, where D is a complex number. We also examine the moments of inertia of fractional-dimensional geometrical objects such as the Cantor set and the Sierpinski carpet and their D-dimensional analogs. copyright 1995 American Association of Physics Teachers
2012-11-27
... privacy issues, please contact: Jonathan Cantor, (202-343-1717), Acting Chief Privacy Officer, Privacy... DEPARTMENT OF HOMELAND SECURITY Office of the Secretary Privacy Act of 1974; Retirement of Department of Homeland Security Transportation Security Administration System of Records AGENCY: Privacy...
2012-11-27
... 20598-6036; email: [email protected] . For privacy issues please contact: Jonathan Cantor, (202-343... DEPARTMENT OF HOMELAND SECURITY Office of the Secretary Privacy Act of 1974; Retirement of Department of Homeland Security Transportation Security Administration System of Records AGENCY: Privacy...
2013-01-18
... Ninth Street NW., Washington, DC 20229. For privacy issues please contact: Jonathan R. Cantor (202-343... Secretary 6 CFR Part 5 [Docket No. DHS 2012-0076] Privacy Act of 1974: Implementation of Exemptions...), System of Records AGENCY: Privacy Office, DHS. ACTION: Notice of proposed rulemaking. SUMMARY: The...
2012-11-27
..., VA 20598-6036; email: [email protected] . For privacy issues please contact: Jonathan R. Cantor... DEPARTMENT OF HOMELAND SECURITY Office of the Secretary Privacy Act of 1974; Retirement of Department of Homeland Security Transportation Security Administration System of Records AGENCY: Privacy...
Fractal patterns on the onset of coherent structures in a coupled map ...
Indian Academy of Sciences (India)
We report the formation of Cantor set-like fractals during the development of coherent structures in a coupled map lattice (CML). The dependence of these structures on the size of the lattice as well as the ﬁrst three dimensions of the associated fractal patterns are analyzed numerically.
Noncommutative Cantor–Bendixson derivatives and scattered C⁎-algebras
Czech Academy of Sciences Publication Activity Database
Ghasemi, Saeed; Koszmider, P.
2018-01-01
Roč. 240, 15 May (2018), s. 183-209 ISSN 0166-8641 Institutional support: RVO:67985840 Keywords : C*-algebras * Cantor-Bendixson derivative * scattered locally compact spaces Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.377, year: 2016 https://www.sciencedirect.com/science/article/pii/S0166864118301688?via%3Dihub
Undergraduate Experiment with Fractal Diffraction Gratings
Monsoriu, Juan A.; Furlan, Walter D.; Pons, Amparo; Barreiro, Juan C.; Gimenez, Marcos H.
2011-01-01
We present a simple diffraction experiment with fractal gratings based on the triadic Cantor set. Diffraction by fractals is proposed as a motivating strategy for students of optics in the potential applications of optical processing. Fraunhofer diffraction patterns are obtained using standard equipment present in most undergraduate physics…
Dan, Aviva
2016-01-01
Deficits in self-regulatory skills underlie or contribute to a range of adverse developmental problems and disorders, including ADHD (Barkley, 1997), eating disorders (Attie & Brooks-Gunn, 1995) and risk -taking behaviour (Cantor & Sanderson 1998; Eisenberg et al., 2005). Self-regulation has been recognised as an important factor in aiding…
Sensitivity of Botrytis cinerea Isolates Against Some Fungicides ...
African Journals Online (AJOL)
Desen
2012-01-26
Jan 26, 2012 ... In:15 th. Int. Botrytis Sym. 31 th May–4 th June Cadiz, Spain. Vallejo I, Carbu M, Rebordinos L, Cantoral JM (2003). Virulence of. Botrytis cinerea strains on two grapevine varieties in South-Western. Spain. Biologia Bratislava. 58: 1067-1074. Walter M, Harris-Virgin P, Morgan C, Stanley J, Body-Wilson KSH.
Indian Academy of Sciences (India)
in some way lies 'behind' the proof in 1993/4 of FL T by Andrew Wiles: Pythagoras, Euclid,. Archimedes, Diophantus, Fibonacci, Pacioli,. Tartaglia, Cardano, Descartes, Pascal, Fermat. (of course!), Euler, Lagrange, Galois, Abel,. Cauchy, Fourier, Gauss, Dirichlet, Dedekind,. Kummer, Cantor, Riemann, Lobachevsky,. Bolyai ...
On White’s Expansion of Lukasiewicz Logic
Czech Academy of Sciences Publication Activity Database
Hájek, Petr
2010-01-01
Roč. 20, č. 2 (2010), s. 389-397 ISSN 0955-792X R&D Projects: GA ČR GEICC/08/E018 Institutional research plan: CEZ:AV0Z10300504 Keywords : Lukasiewicz fuzzy logic * Cantor-Lukasiewicz set theory * full comprehension Subject RIV: BA - General Mathematics Impact factor: 0.586, year: 2010
The Independence of Markov's Principle in Type Theory
DEFF Research Database (Denmark)
Coquand, Thierry; Mannaa, Bassel
2017-01-01
for the generic point of this model. Instead we design an extension of type theory, which intuitively extends type theory by the addition of a generic point of Cantor space. We then show the consistency of this extension by a normalization argument. Markov's principle does not hold in this extension......In this paper, we show that Markov's principle is not derivable in dependent type theory with natural numbers and one universe. One way to prove this would be to remark that Markov's principle does not hold in a sheaf model of type theory over Cantor space, since Markov's principle does not hold......, and it follows that it cannot be proved in type theory....
Gold Medal Award for Life Achievement in Psychology in the Public Interest: Beatrice A. Wright.
2016-01-01
The American Psychological Foundation (APF) Gold Medal Awards recognize distinguished and enduring records of accomplishment in 4 areas of psychology. The 2016 recipient of Gold Medal Award for Life Achievement in Psychology in the Public Interest is Beatrice A. Wright. Dorothy W. Cantor, president of the APF, will present the APF Gold Medal Awards at the 124th Annual Convention of the American Psychological Association on August 5, 2016, at 4:00 p.m. Members of the 2016 APF Board of Trustees are: Dorothy W. Cantor, president; David H. Barlow, vice president; Melba J. T. Vasquez, secretary; Richard C. McCarty, treasurer; Elisabeth R. Straus, executive vice president/executive director; Cynthia Belar; Camilla Benbow; Rosie Phillips Bingham; Connie S. Chan; Anthony Jackson; Terence M. Keane; Archie L. Turner; W. Bruce Walsh; and Bonnie Markham and Rick McGraw, APA Board of Directors liaisons. (PsycINFO Database Record (c) 2016 APA, all rights reserved).
Hasan, Mohammd; Mandal, Bhabani Prasad
2018-04-01
In this paper we introduce the concept of super periodic potential (SPP) of arbitrary order n, n ∈I+, in one dimension. General theory of wave propagation through SPP of order n is presented and the reflection and transmission coefficients are derived in their closed analytical form by transfer matrix formulation. We present scattering features of super periodic rectangular potential and super periodic delta potential as special cases of SPP. It is found that the symmetric self-similarity is the special case of super periodicity. Thus by identifying a symmetric fractal potential as special cases of SPP, one can obtain the tunnelling amplitude for a particle from such fractal potential. By using the formalism of SPP we obtain the close form expression of tunnelling amplitude of a particle for general Cantor and Smith-Volterra-Cantor potentials.
Quasi-periodic motions in families of dynamical systems order amidst chaos
Broer, Hendrik W; Sevryuk, Mikhail B
1996-01-01
This book is on Kolmogorov-Arnol'd-Moser theory for quasi-periodic tori in dynamical systems. It gives an up-to-date report on the role parameters play for persis- tence of such tori, typically occuring on Cantor sets of positive Hausdorff measure inside phase and parameter space. The cases with preservation of symplectic or volume forms or time-reversal symmetries are included. The concepts of Whitney-smoothness and Diophantine approximation of Cantor sets on submanifolds of Euclidean space are treated, as well as Bruno's theory on analytic continuation of tori. Partly this material is new to Western mathematicians. The reader should be familiar with dynamical systems theory, differen- tial equations and some analysis. The book is directed to researchers, but its entrance level is introductory.
On delta-modulated control: A simple system with complex dynamics
Energy Technology Data Exchange (ETDEWEB)
Xia Xiaohua [Department of Electrical, Electronic and Computer Engineering, University of Pretoria, Pretoria 0002 (South Africa)]. E-mail: xxia@postino.up.ac.za; Chen Guanrong [Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong (China)]. E-mail: gchen@ee.cityu.edu.hk
2007-08-15
In this paper, we investigate some interesting properties of a scalar system controlled by {delta}-modulated feedback. We show that there are three different cases. In the first case, there is a minimal global attractor which consists of only two points. The two points form either one 2-periodic orbit or two 1-periodic orbits (fixed points). We also characterize the attracting region for each of these two points. In the second case, the maximal stabilizable region is bounded, and there is a minimal local attractor inside this stabilizable region. In the third case, the maximal stabilizable set is a Cantor set, which is a repeller of the system, and the system is chaotic on the Cantor set.
Directory of Open Access Journals (Sweden)
José Eduardo Rueda Enciso
2015-12-01
Full Text Available Petróleo y protesta obrera. La uso y los trabajadores petroleros en Colombia (1923-2008 En tiempos de la Tropical (t. 1, En tiempos de Ecopetrol (t. 2. Renán Vega Cantor, Luz Ángela Núñez Espinel y Alexander Pereira FernándezCorporación Aury Sará Marrugo, 2009, Bogotá, 413 y 492 págs.
Invitation to classical analysis
Duren, Peter
2012-01-01
This book gives a rigorous treatment of selected topics in classical analysis, with many applications and examples. The exposition is at the undergraduate level, building on basic principles of advanced calculus without appeal to more sophisticated techniques of complex analysis and Lebesgue integration. Among the topics covered are Fourier series and integrals, approximation theory, Stirling's formula, the gamma function, Bernoulli numbers and polynomials, the Riemann zeta function, Tauberian theorems, elliptic integrals, ramifications of the Cantor set, and a theoretical discussion of differ
Criptografia usando curvas hiperelípticas
Directory of Open Access Journals (Sweden)
Alonso Sepúlveda Castellanos
2006-01-01
Full Text Available In this work we present some properties of the hyperelliptical curves and their Jacobians, aiming at the implementation of criptossystems of public key. Also we show the algorithm of Cantor to add points in the Jacobian manifold, which is important for the effectiveness of criptossystems, and an algorithm to attack the problem of the discrete logarithms on these groups. The untractability of this problem is essential for the security of criptossystems.
1993-04-01
SUBJCT TERMS .. 15. NUMBER OF PAGES Nicotinic acetylcholine receptor FTIR 21 Vibrational spectroscopy Cholinergic 16. PRICE COOE Resonance raman 17...Wilson et al 1955). FMR spectroscopy measures the absorbance of infra-red rad iation, where as Raman spectroscopy measures inelastic scattering of...frequency is domrunated by that chromophore, then Raman scattering involving vibrations localized in that chromophore will be sharply enhanced(Cantor and
Directory of Open Access Journals (Sweden)
M.H. Giménez
2011-06-01
Full Text Available This work presents a new virtual laboratory, Difract, developed with Easy Java Simulations, for using in Optics courses as a computer tool for the mathematical modelling of the diffraction properties of 1D and 2D fractal gratings. This virtual laboratory enables students to quickly and easily analyze the influence on the Fraunhofer diffraction pattern of the different construction parameters of the fractal grating. As an application example, the Cantor fractal set has been considered.
Directory of Open Access Journals (Sweden)
Yu Zhang
2015-10-01
Full Text Available In this article, we begin with the non-homogeneous model for the non-differentiable heat flow, which is described using the local fractional vector calculus, from the first law of thermodynamics in fractal media point view. We employ the local fractional variational iteration algorithm II to solve the fractal heat equations. The obtained results show the non-differentiable behaviors of temperature fields of fractal heat flow defined on Cantor sets.
Čeští kantoři a hudba u pražských alžbětinek v 18. a 19. století
Czech Academy of Sciences Publication Activity Database
Michl, Jakub
2015-01-01
Roč. 6, č. 2 (2015), s. 51-59 ISSN 1804-5367 Institutional support: RVO:68378076 Keywords : Sisters of Saint Elizabeth * convents * cantors * music in convents * music collections * pedagogy of music * Lužec nad Vltavou * Prague * Hořovice * Jan Pavel Slavík * 18th century * 19th century * Zikmund Václav Josef Suchý Subject RIV: AL - Art, Architecture, Cultural Heritage
MUSAC II: A Method for Modeling Passive Sonar Classification in a Multiple Target Environment.
1976-02-01
TERAIN #46-6667 - Green (chlorophyll Type) (Parts by Weight) Cantor Wax 21.6 Carnauba Wax 3.1 Mineral Oil, U.S.P.Heavy 22.5 lanolin, U.S.P. angdrous 10.5...MMOSITICt - PAINT, FACE, CAMOUF1AGE, ARID TURAIN #23-6667-Lom #21-6667-Sand (Parts by weight) (Parts by weight) Castor Wax 17.5 17.5 CartAuba Wax 2.5
The Fixed-Point Theory of Strictly Causal Functions
2013-06-09
functions were defined to be the functions that are strictly contracting with respect to the Cantor metric (also called the Baire distance) on signals...of Lecture Notes in Computer Science, pages 447–484. Springer Berlin / Heidelberg, 1992. [36] George Markowsky. Chain-complete posets and directed...Journal of Logic Programming, 42(2):59–70, 2000. [52] George M. Reed and A. William Roscoe. A timed model for communicating sequential processes. In Laurent
2015-09-29
antiferroelectrics. Phys. Rev. Lett. 110, 017603 (2013). 22. Cantor , B., Chang, I., Knight, P. & Vincent, A. Microstructural development in equiatomic...Science 345, 1153–1158 (2014). 24. Gali, A. & George , E. Tensile properties of high- and medium-entropy alloys. Intermetallics 39, 74–78 (2013). 25...148–153 (2014). 26. Otto, F., Yang, Y., Bei, H. & George , E. Relative effects of enthalpy and entropy on the phase stability of equiatomic high-entropy
Transitioning the Defense Automated Neurobehavioral Assessment (DANA) to Operational Use
2013-10-01
Shipboard (USS George Washington during high seas in the Western Pacific) TABLE I. DANA Test Batteries* DANA Rapid (5 Minutes) DANA Brief (15 Minutes) DANA...approximately 3,000 m) — Desert (U.S. Marine Corps Desert Warfare Training Center—Twentynine Palms, CA, in the summer) — Shipboard (USS George Washington...Halpern, E. L., Reeves, D., & Daniel, J. C. Future Directions of Neuropsychological Assessment in Sports Concussion. In, Bleiberg, J., Cantor , I. V
Using Expressiveness to Increase Efficiency in Social and Economic Mechanisms
2011-05-01
I cannot say enough about how much I learned from and relied heavily on the support of my close friends and colleagues at CMU, especially George Davis...exists an equivalent mechanism that only allows the expression of one real value (i.e., Θi = R).(This follows immediately from Cantor (1890): being able...bundling is attributed to economist George J. Stigler in his 1963 discussion of anti-trust Supreme Court rulings over price dis- crimination via bundling
New Forces Yet Undetermined: The Challenge of Biodefense
2009-09-01
and Luther E. Lindler, Frank J. Lebeda, and George W. Korch, eds., Biological Weapons Defense: Infectious Diseases and Counterbioterrorism (Totowa... Cantor , In the Wake of the Plague: The Black Death and the World It Made (New York, NY: The Free Press, 2001). National Institute of Allergy and...Missiakas and Olaf Schneewind, "Bacillus anthracis and the Pathogensis of Anthrax," in Lindler, Luther E., Frank J. Lebeda, and George W. Korch, eds
2014-01-01
internally oriented understanding (labeled culture).10 Their model is an organizational abstraction of George Mead’s 1934 charac- terization of...fundamental shift in the societal structure of the day. Norman Cantor indicates that “the main social consequence of the Black Death was not the...FILE APPROACH TO THE US AIR FORCE IDENTITY 50 In a move eerily reminiscent of George Orwell’s “Ministry of Truth,” Mose- ley declared, “Our new
On Fixed Points of Strictly Causal Functions
2013-04-08
were defined to be the functions that are strictly contracting with respect to the Cantor metric (also called the Baire distance) on signals over non...in Computer Science, pages 447–484. Springer Berlin / Heidelberg, 1992. [36] George Markowsky. Chain-complete posets and directed sets with...Journal of Logic Programming, 42(2):59–70, 2000. [53] George M. Reed and A. William Roscoe. A timed model for communicating sequential processes. In
An All-Hazards Training Center for a Catastrophic Emergency
2009-12-01
Homeland,” Joint Force Quarterly, Issue 51, Washington, DC: National Defense University Press, 2008, pp. 130-136. Cantor , Norman, In the Wake of the Plague...Washington, DC: Chairman of the Joint Chiefs of Staff, February 2006, pp. 1-38. 10. George W. Christopher et al., “Biological Warfare: A Historical...Plague of 1348: A Forgotten Episode of Bacteriological War,” Journal of American Medical Association, Vol. 196, 1966, pp. 59-62. 11. George W
Demystifying the Citizen Soldier
2015-01-01
limitations. Indeed, as historian John Shy notes, General George Washington “never ceased complaining about his militia—about their undependability, their...Despite his misgiving about their military utility, George Washington declared in 1791 that “the militia is certainly an object of primary importance...century. The Guard was still 22 Louis Cantor , “Elihu Root and the National Guard: Friend or Foe
Random a-adic groups and random net fractals
Energy Technology Data Exchange (ETDEWEB)
Li Yin [Department of Mathematics, Nanjing University, Nanjing 210093 (China)], E-mail: Lyjerry7788@hotmail.com; Su Weiyi [Department of Mathematics, Nanjing University, Nanjing 210093 (China)], E-mail: suqiu@nju.edu.cn
2008-08-15
Based on random a-adic groups, this paper investigates the relationship between the existence conditions of a positive flow in a random network and the estimation of the Hausdorff dimension of a proper random net fractal. Subsequently we describe some particular random fractals for which our results can be applied. Finally the Mauldin and Williams theorem is shown to be very important example for a random Cantor set with application in physics as shown in E-infinity theory.
Measures of Noncircularity and Fixed Points of Contractive Multifunctions
Directory of Open Access Journals (Sweden)
Marrero Isabel
2010-01-01
Full Text Available In analogy to the Eisenfeld-Lakshmikantham measure of nonconvexity and the Hausdorff measure of noncompactness, we introduce two mutually equivalent measures of noncircularity for Banach spaces satisfying a Cantor type property, and apply them to establish a fixed point theorem of Darbo type for multifunctions. Namely, we prove that every multifunction with closed values, defined on a closed set and contractive with respect to any one of these measures, has the origin as a fixed point.
Wasisto, Hutomo Suryo; Wu, Wenze; Uhde, Erik; Waag, Andreas; Peiner, Erwin
2015-05-01
Low-cost and low-power piezoresistive cantilever resonators with integrated electrothermal heaters are developed to support the sensing module enhancement of the second generation of handheld cantilever-based airborne nanoparticle (NP) detector (CANTOR-2). These sensors are used for direct-reading of exposure to carbon engineered nanoparticles (ENPs) at indoor workplaces. The cantilever structures having various shapes of free ends are created using silicon bulk micromachining technologies (i.e, rectangular, hammer-head, triangular, and U-shaped cantilevers). For a complete wearable CANTOR-2, all components of the proposed detector can be grouped into two main units depending on their packaging placements (i.e., the NP sampler head and the electronics mounted in a handy-format housing). In the NP sampler head, a miniaturized electrophoretic aerosol sampler and a resonant silicon cantilever mass sensor are employed to collect the ENPs from the air stream to the cantilever surfaces and measuring their mass concentration, respectively. After calibration, the detected ENP mass concentrations of CANTOR-2 show a standard deviation from fast mobility particle sizer (FMPS, TSI 3091) of 8-14%.
A family of fractal sets with Hausdorff dimension 0.618
Energy Technology Data Exchange (ETDEWEB)
Zhong Ting [Information Management and Engineering Institute, Jishou University, Zhangjiajie 427000, Hunan (China)], E-mail: zhongting_2005@126.com
2009-10-15
In this paper, we introduce a class of fractal sets, which can be recursively constructed by two sequences {l_brace}n{sub k}{r_brace}{sub k{>=}}{sub 1} and {l_brace}c{sub k}{r_brace}{sub k{>=}}{sub 1}. We obtain the exact Hausdorff dimensions of these types of fractal sets using the continued fraction map. Connection of continued fraction with El Naschie's fractal spacetime is also illustrated. Furthermore, we restrict one sequence {l_brace}c{sub k}{r_brace}{sub k{>=}}{sub 1} to make every irrational number {alpha} element of (0, 1) correspond to only one of the above fractal sets called {alpha}-Cantor sets, and we found that almost all {alpha}-Cantor sets possess a common Hausdorff dimension of 0.618, which is also the Hausdorff dimension of the one-dimensional random recursive Cantor set and it is the foundation stone of E-infinity fractal spacetime theory.
Directory of Open Access Journals (Sweden)
Ana Cristina de Castro Coelho
2013-04-01
Full Text Available OBJETIVO: conhecer a auto-imagem, dificuldades e presença de sintomas negativos após o canto em coralistas amadores com diferentes classificações vocais, idades e experiência. MÉTODO: cento e vinte e cinco cantores responderam a um questionário que abordou dados de identificação, informações sobre a auto-imagem da voz cantada, dificuldades apresentadas no canto e ocorrência ou não de sintomas vocais após o canto. RESULTADOS: a comparação por naipes evidenciou maior dificuldade na emissão de sons agudos para os contraltos e baixos, maior dificuldade na emissão graves para os sopranos, maior dificuldade na transição de registro grave para agudo para os baixos, e maior cansaço vocal para os contraltos. Na divisão por idade, tanto adultos jovens e adultos referiram maior soprosidade do que os idosos. Os adultos referiram melhor intensidade vocal do que adultos jovens. Os adultos jovens consideraram seu timbre de voz adequado mais frequentemente do que adultos. Em relação à experiência, os cantores menos experientes referiram percepção de voz rouca em maior número do que os cantores mais experientes, que referiram apresentar intensidade adequada durante o canto em maior número do que os demais. Cantores menos experientes referiram maior ocorrência de rouquidão após o canto do que cantores mais experientes. CONCLUSÃO: as dificuldades encontradas no canto estão atreladas ao naipe, e não dependem da idade e nem da experiência. Sintomas estão relacionados ao naipe e ao grau de experiência com o canto. A auto-imagem vocal negativa também está relacionada ao naipe e ao nível de experiência, sendo que a auto-imagem positiva é mais comum em cantores experientes.PURPOSE: to evaluate vocal self-perception, difficulties and presence of negative symptoms after singing of amateur choir singers of different vocal classifications, age and experience. METHOD: one hundred and twenty five singers answered a questionnaire
Tableaus and their use in Holomorphic Dynamics
DEFF Research Database (Denmark)
Branner, Bodil
rules, classification of critical tableaus, the Fibonacci critical tableau. TITLE of class III: Points are points. ABSTRACT: Combining the geometrical, analytical and combinatorial parts to conclude either local connectivity of the Julia set of a polynomial in the Yoccoz-class or total disconnectivity...... of the Julia set of a polynomial in the bounded/unbounded class (i.e. the Julia set is a Cantor set). In both cases one proves that (certain) connected components are reduced to point components. Therefore, Adrien Douady liked to say that one proves that "points are points"....
CONSTRUCTION OF THE DISCRETE HULL FOR THE COMBINATORICS OF A REGULAR PENTAGONAL TILING OF THE PLANE
DEFF Research Database (Denmark)
Ramirez-Solano, Maria
2016-01-01
The article A “regular” pentagonal tiling of the plane by P. L. Bowers and K. Stephenson, Conform. Geom. Dyn. 1, 58–86, 1997, defines a conformal pentagonal tiling. This is a tiling of the plane with remarkable combinatorial and geometric properties. However, it doesn’t have finite local complexi...... combinatorial data, which rather automatically has finite local complexity. In this paper we give a construction of the discrete hull just from the combinatorial data. The main result of this paper is that the discrete hull is a Cantor space....
Undergraduate experiment with fractal diffraction gratings
International Nuclear Information System (INIS)
Monsoriu, Juan A; Furlan, Walter D; Pons, Amparo; Barreiro, Juan C; Gimenez, Marcos H
2011-01-01
We present a simple diffraction experiment with fractal gratings based on the triadic Cantor set. Diffraction by fractals is proposed as a motivating strategy for students of optics in the potential applications of optical processing. Fraunhofer diffraction patterns are obtained using standard equipment present in most undergraduate physics laboratories and compared with those obtained with conventional periodic gratings. It is shown that fractal gratings produce self-similar diffraction patterns which can be evaluated analytically. Good agreement is obtained between experimental and numerical results.
Anti-sound and Acoustical Cloaks
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Veturia CHIROIU
2016-12-01
Full Text Available The principles by which the acoustics can be mimicked in order to reduce or cancel the vibrational field are based on anti-sound concept which can be materialized by acoustic cloaks. Geometric transformations open an elegant way towards the unconstrained control of sound through acoustic metamaterials. Acoustic cloaks can be achieved through geometric transformations which bring exotic metamaterial properties into the acoustic equations. Our paper brings new ideas concerning the technological keys for manufacturing of novel metamaterials based on the spatial compression of Cantor structures, and the architecture of 3D acoustic cloaks in a given frequency band, with application to architectural acoustics.
Multifractal spectra in homogeneous shear flow
Deane, A. E.; Keefe, L. R.
1988-01-01
Employing numerical simulations of 3-D homogeneous shear flow, the associated multifractal spectra of the energy dissipation, scalar dissipation and vorticity fields were calculated. The results for (128) cubed simulations of this flow, and those obtained in recent experiments that analyzed 1- and 2-D intersections of atmospheric and laboratory flows, are in some agreement. A two-scale Cantor set model of the energy cascade process which describes the experimental results from 1-D intersections quite well, describes the 3-D results only marginally.
The universal computer the road from Leibniz to Turing
Davis, Martin
2011-01-01
The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all. Written by Martin Davis, respected logician and researcher in the theory of computation, The Universal Computer: The Road from Leibniz to Turing explores the fascinating lives, ideas, and discoveries of seven remarkable mathematicians. It tells the stories of the unsung heroes of the computer age -- the logicians. The story begins with Leibniz in the 17th century and then focuses on Boole, Frege, Cantor, Hilbert, and Godel, before turning to Turing. Turing's analysis of algorithmic pro
Chimera states in networks of logistic maps with hierarchical connectivities
zur Bonsen, Alexander; Omelchenko, Iryna; Zakharova, Anna; Schöll, Eckehard
2018-04-01
Chimera states are complex spatiotemporal patterns consisting of coexisting domains of coherence and incoherence. We study networks of nonlocally coupled logistic maps and analyze systematically how the dilution of the network links influences the appearance of chimera patterns. The network connectivities are constructed using an iterative Cantor algorithm to generate fractal (hierarchical) connectivities. Increasing the hierarchical level of iteration, we compare the resulting spatiotemporal patterns. We demonstrate that a high clustering coefficient and symmetry of the base pattern promotes chimera states, and asymmetric connectivities result in complex nested chimera patterns.
Directory of Open Access Journals (Sweden)
Sajjad Emami
2013-06-01
Full Text Available In this study, maintaining a constant fuel rate, injection pressure of 275 bar to 1000 bar (275×102 kPa to 1000×102 kPa, has been changed. Effect of injection pressure, the pressure inside the cylinder on the free energy, power, engine indicators, particularly indicators of fuel consumption, pollutants and their effects on parameters affecting the output of the engine combustion chamber have been studied in droplet diameter. Finally, the effects of fuel mixture equivalence, Cantor temperature, soot and NOx due to the increase of injection pressure, engine efficiency and emissions have been examined.
Condicionamento vocal individualizado para profissionais da voz cantada - relato de casos
Directory of Open Access Journals (Sweden)
Mara Behlau
2014-10-01
Full Text Available Este estudo tem como tema o desenvolvimento de programas de condicionamento vocal individualizado para a demanda específica de três profissionais da voz cantada. Trata-se de um relato de caso de três profissionais da voz cantada: uma cantora e atriz de teatro musical brasileiro, um cantor sertanejo e um cantor de roque. Os três indivíduos foram submetidos à avaliação fonoaudiológica, apresentando queixas relacionadas a cansaço e fadiga após uso da voz e/ou aperfeiçoamento vocal e realizaram avaliação otorrinolaringológica prévia. Os três pacientes estavam em processo de terapia fonoaudiológica, sendo uma das etapas o desenvolvimento de um programa de condicionamento vocal individualizado, de acordo com a demanda, necessidade e disponibilidade de cada sujeito. A cantora e atriz de teatro musical brasileiro aderiu facilmente à proposta personalizada de condicionamento vocal, pois sentia os ganhos de realização uma mobilização fisiológica antes de passar para a técnica-artística que já executava. O cantor sertanejo aderiu facilmente ao programa de condicionamento vocal individualizado, sem nenhuma dificuldade, e relatou extrema melhora em seu conforto e desempenho vocal durante o canto com os exercícios selecionados. O cantor de roque apresentou maior flexibilização de trato vocal, estabilidade da emissão no canto, ampliação da tessitura vocal, maior precisão articulatória e redução da constrição global excessiva após dar início ao programa de condicionamento vocal individualizado.O condicionamento vocal individualizado mostra efeitos positivos, principalmente para os profissionais da voz, pois os indivíduos trabalham exatamente sob a demanda que será utilizada com o uso profissional da voz,com exercícios específicos e direcionados para suas necessidades.
Adaptive Problem Solving by Analogy
2013-07-01
spread activation. Animal Cow Legs Ears Associative link ISA link Part‐of link Milk Distribution A: Approved for public release; distribution...evidences than falsifications of their hypotheses (Cantor, 1979). Second, people tend to interpret the incoming information in a biased way
Coral amador: efeitos de uma proposta de intervenção fonoaudiológica
Loiola, Camila Miranda
2009-01-01
A maioria dos corais, formados em igrejas, comunidades, escolas e clubes, é composta por cantores amadores. Existem poucas pesquisas que abordam a intervenção fonoaudiológica com essa população e os estudos enfatizam apenas resultados imediatos da aplicação de exercícios vocais. Objetivo: verificar os efeitos de uma proposta de intervenção fonoaudiológica, por meio de avaliação de fonoaudiólogos, professores de canto e dos próprios coristas amadores participantes, analisando, em momento pré e...
Vitali systems in R^n with irregular sets
DEFF Research Database (Denmark)
Mejlbro, Leif; Topsøe, Flemming
1996-01-01
Vitali type theorems are results stating that out of a given family of sets one can select pairwise disjoint sets which fill out a "large" region. Usually one works with "regular" sets such as balls. We shall establish results with sets of a more complicated geometrical structure, e.g., Cantor......-like sets are allowed. The results are related to a generalisation of the classical notion of a differentiation basis.l They concern real n-space R^n and Lebesgue measure....
Algunos conceptos matemáticos asociados al infinito
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Iván Darío Buitrago C.
2014-12-01
Full Text Available En éste artículo se aborda el concepto de infinito en su forma general y se hace un análisis del infinito actual y del infinito potencial. Se realizan algunas demostraciones, con el objetivo de enfatizar en la trascendencia que dejó la idea del infinito desde los griegos hasta nuestros días y lo alejado que está el concepto del sentido común. Se trabaja la idea del infinito actual, desde la teoría de conjuntos, tratada por los gran Bernhard Bolzano y Georg Cantor.
2010-05-14
Mikhailovich Lyapunov is discussed. Main attention is focused on the first Lyapunov method. LYAPUNOV BUNDLES IN CYCLIC FEEDBACK SYSTEMS WITH DELAYS George ...Lyapunov frequently discussed this problem with Henry Poincare (1854-1912) and George Darwin (1845 - 1912). They both considered the "pear-form" figure as... Cantor -type set. Neither can the existence of such systems be excluded. The results we present are discussed in a joint paper with K. Bjerkloev. МЕТОДЫ А.М
2015-11-02
George , Relative effects of enthalpy and entropy on the phase stability of equiatomic high-entropy alloys, Acta Mater. 61 (2013) 2628e2638. [4] B... Cantor , I.T.H. Chang, P. Knight, A.J.B. Vincent, Microstructural development in equiatomic multicomponent alloys, Mater. Sci. Eng. A 375e377 (2004...an Al0.5CoCrCuFeNi high entropy alloy, In- termetallics 31 (2012) 165e172. [24] Z. Wu, H. Bei, F. Otto, G.M. Pharr, E.P. George , Recovery
Double Negative Materials (DNM), Phenomena and Applications
2009-07-01
5697–5711. Maksimović, M., and Z. Jakšić. “Emittance and Absorptance Tailoring by Negative Refractive Index Metamaterial-Based Cantor Multilayers.” J...TOKEN=48950826 Popov, A. K., S. A. Myslivets, T. F. George , and V. M. Shalaev. “Tailoring Transparency of Negative-Index Metamaterials With Parametric...Popov, A. K., S. A. Myslivets, T. F. George , and V. M. Shalaev. “Compensating Losses in Positive- and Negative-Index Metamaterials Through
Autonomous Bacterial Localization and Gene Expression Based on Nearby Cell Receptor Density
2013-01-22
signal-peptide (lpp-ompA) sequences from the template vector, pTX101 (provided by Dr George Georgiou, University of Texas, Austin) (Francisco et al...generously providing the PCI-15B cell line, Dr George Georgiou for kindly providing the ompA surface display vector, and Dr Eiry Kobatake for providing...E, Wong WW, Suen JK, Bulter T, Lee SG, Liao JC (2005) A synthetic gene-metabolic oscillator. Nature 435: 118–122 Gardner TS, Cantor CR, Collins JJ
Contributions to the founding of the theory of transfinite numbers
Cantor, Georg
1955-01-01
One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply and clearly: the reader with a good grasp of college mathematics will be able to understand most of the basic ideas and many of the proofs.Cantor first develops the elementary definitions and operations of cardinal and ordinal numbers and analyzes
Introduction to cardinal arithmetic
Holz, M; Weitz, E
1999-01-01
This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice (ZFC). A first part describes the classical theory developed by Bernstein, Cantor, Hausdorff, König and Tarski between 1870 and 1930. Next, the development in the 1970s led by Galvin, Hajnal and Silver is characterized. The third part presents the fundamental investigations in pcf theory which have been worked out by Shelah to answer the questions left open in the 1970s.Reviews:'The authors aim their text at beginners in set theory. They start
DEFF Research Database (Denmark)
Høyrup, Jens
2008-01-01
One of the ways in which the artificial languages of mathematics are ‘‘generous'', that is, in which they assist the advance of thought, is through their establishment of advanced operatory structures that permit an even further advance of intuition. However, this generosity may be delusive, sugg...... and products, one perilous case-Cantor's introduction of transfinite numbers from 1895-and (in modern terms) a failed attempt to extend the semi-group of algebraic powers into a complete group, also from c. 1340...
DEFF Research Database (Denmark)
Zhukovsky, Sergei; Orlov, Alexey A.; Babicheva, Viktoriia E.
2014-01-01
) on a larger, wavelength scale, the propagation of volume plasmon polaritons in the resulting multiscale hyperbolic metamaterials is subject to photonic-band-gap phenomena. A great degree of control over such plasmons can be exerted by varying the superstructure geometry. When this geometry is periodic, stop......, fractal Cantor-like multiscale metamaterials are found to exhibit characteristic self-similar spectral signatures in the volume plasmonic band. Multiscale hyperbolic metamaterials are shown to be a promising platform for large-wave-vector bulk plasmonic waves, whether they are considered for use as a kind...
DEFF Research Database (Denmark)
Zhukovsky, Sergei; Lavrinenko, Andrei; Sipe, J. E.
2013-01-01
, wavelength scale, the propagation of bulk plasmon polaritons in the resulting multiscale HMM is subject to photonic band gap phenomena. A great degree of control over such plasmons can be exerted by varying the superstructure geometry. As an example, Bragg reflection and Fabry-Pérot resonances...... are demonstrated in multiscale HMMs with periodic superstructures. More complicated, aperiodically ordered superstructures are also considered, with fractal Cantor-like multiscale HMMs exhibiting characteristic self-similar spectral signatures in the high-k band. The multiscale HMM concept is shown...
Exact treatment of mode locking for a piecewise linear map
International Nuclear Information System (INIS)
Ding, E.J.; Hemmer, P.C.
1987-01-01
A piecewise linear map with one discontinuity is studied by analytic means in the two-dimensional parameter space. When the slope of the map is less than unity, periodic orbits are present, and they give the precise symbolic dynamic classification of these. The localization of the periodic domains in parameter space is given by closed expressions. The winding number forms a devil's terrace, a two-dimensional function whose cross sections are complete devil's staircases. In such a cross section the complementary set to the periodic intervals is a Cantor set with dimension D = 0
Milewski, Emil G
2012-01-01
REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Set Theory includes elementary logic, sets, relations, functions, denumerable and non-denumerable sets, cardinal numbers, Cantor's theorem, axiom of choice, and order relations.
Lévy Véhel , Jacques; Mendivil , Franklin
2013-01-01
Paul R. Halmos - Lester R. Ford Award http://www.maa.org/programs/maa-awards/writing-awards/paul-halmos-lester-ford-awards; International audience; We explore the geometric and measure-theoretic properties of a set built by stacking central Cantor sets with continuously varying scaling factors. By using self-similarity, we are able to describe in a fairly complete way its main features. We show that it is made of an uncountable number of analytic curves, compute the exact areas of the gaps of...
Tunneling in quantum superlattices with variable lacunarity
Energy Technology Data Exchange (ETDEWEB)
Villatoro, Francisco R. [Departamento de Lenguajes y Ciencias de la Computacion, Universidad de Malaga, E-29071 Malaga (Spain); Monsoriu, Juan A. [Departamento de Fisica Aplicada, Universidad Politecnica de Valencia, E-46022 Valencia (Spain)], E-mail: jmonsori@fis.upv.es
2008-05-19
Fractal superlattices are composite, aperiodic structures comprised of alternating layers of two semiconductors following the rules of a fractal set. The scattering properties of polyadic Cantor fractal superlattices with variable lacunarity are determined. The reflection coefficient as a function of the particle energy and the lacunarity parameter present tunneling curves, which may be classified as vertical, arc, and striation nulls. Approximate analytical formulae for such curves are derived using the transfer matrix method. Comparison with numerical results shows good accuracy. The new results may be useful in the development of band-pass energy filters for electrons, semiconductor solar cells, and solid-state radiation sources up to THz frequencies.
Directory of Open Access Journals (Sweden)
Luana Torres Monteiro Melo
2014-09-01
Full Text Available Introdução: O fisioterapeuta, integrante da equipe multidisciplinar, utiliza ampla variedade de aparelhos e recursos manuais no tratamento da disfunção temporomandibular (DTM, buscando recuperar a função do sistema estomatognático. A facilitação neuromuscular proprioceptiva (FNP promove o movimento funcional por meio da facilitação, inibição e relaxamento da musculatura. O alongamento muscular reduz as tensões musculares e libera os movimentos bloqueados. Objetivo: Comparar os benefícios das duas técnicas na melhoria funcional de pacientes portadores de DTM. Métodos: Realizou-se estudo intervencionista, comparativo e cego, com 12 pacientes atendidas no Núcleo de Atenção Médica Integrada (NAMI, Fortaleza-Ceará, do sexo feminino, adultas e com diagnóstico de DTM, divididas aleatoriamente em dois grupos. O grupo A foi tratado com FNP (técnica de manter-relaxar e estabilização rítmica e o grupo B com alongamento muscular passivo. O tratamento foi realizado 2 vezes na semana, durante 5 semanas, totalizando 10 atendimentos com duração de 45 minutos. Resultados: Foi verificado que as pacientes de ambos os grupos tiveram melhora do quadro clínico, com redução significativa da dor em ambos os grupos (p < 0,05 e diminuição da dor à palpação muscular no grupo B (p < 0,05. Ao final do tratamento, não houve diferença na sintomatologia, amplitude de movimento e dor à palpação muscular entre os grupos. Conclusão: Os resultados mostraram que tanto a FNP como o alongamento muscular promoveram melhora do quadro álgico das pacientes, concluindo-se que ambas as técnicas podem ser acrescentadas aos tratamentos existentes para essa disfunção.
Amigos de sus amigos: Quevedo y el grande Osuna
Directory of Open Access Journals (Sweden)
Eduardo Carranza
1965-04-01
Full Text Available Don Pedro Téllez Girón, el gran duque de Osuna, vivió fuera de su tiempo. El y su amigo y consejero don Francisco Gómez de Quevedo y Villegas -el tétrico humorista de Los sueños, el enherbolado satírico de jácaras y donaires, el hondo moralista del Marco Bruto, el sobrecogedor poeta del tiempo y de la muerte- pertenecían espiritualmente a la generación del Emperador. Eran del linaje aguileño y caballeresco de Cortés y don Diego Hurtado de Mendoza, de Cetina, cantor de los ojos claros, y de Acuña, cantor del duro imperio, de Garcilaso, héroe entre lanzas y suspiros, de don Juan de Austria y don Álvaro de Bazán, navegantes por mares españoles, que lo eran entonces todos los del mundo, al compás de vientos imperiales y de versos del "divino" Herrera.
Bertke, Maik; Hamdana, Gerry; Wu, Wenze; Marks, Markus; Suryo Wasisto, Hutomo; Peiner, Erwin
2016-10-01
The asymmetric resonance frequency analysis of silicon cantilevers for a low-cost wearable airborne nanoparticle detector (Cantor) is described in this paper. The cantilevers, which are operated in the fundamental in-plane resonance mode, are used as a mass-sensitive microbalance. They are manufactured out of bulk silicon, containing a full piezoresistive Wheatstone bridge and an integrated thermal heater for reading the measurement output signal and stimulating the in-plane excitation, respectively. To optimize the sensor performance, cantilevers with different cantilever geometries are designed, fabricated and characterized. Besides the resonance frequency, the quality factor (Q) of the resonance curve has a high influence concerning the sensor sensitivity. Because of an asymmetric resonance behaviour, a novel fitting function and method to extract the Q is created, different from that of the simple harmonic oscillator (SHO). For testing the sensor in a long-term frequency analysis, a phase- locked loop (PLL) circuit is employed, yielding a frequency stability of up to 0.753 Hz at an Allan variance of 3.77 × 10-6. This proposed asymmetric resonance frequency analysis method is expected to be further used in the process development of the next-generation Cantor.
International Nuclear Information System (INIS)
Bertke, Maik; Hamdana, Gerry; Wu, Wenze; Marks, Markus; Wasisto, Hutomo Suryo; Peiner, Erwin
2016-01-01
The asymmetric resonance frequency analysis of silicon cantilevers for a low-cost wearable airborne nanoparticle detector (Cantor) is described in this paper. The cantilevers, which are operated in the fundamental in-plane resonance mode, are used as a mass-sensitive microbalance. They are manufactured out of bulk silicon, containing a full piezoresistive Wheatstone bridge and an integrated thermal heater for reading the measurement output signal and stimulating the in-plane excitation, respectively. To optimize the sensor performance, cantilevers with different cantilever geometries are designed, fabricated and characterized. Besides the resonance frequency, the quality factor ( Q ) of the resonance curve has a high influence concerning the sensor sensitivity. Because of an asymmetric resonance behaviour, a novel fitting function and method to extract the Q is created, different from that of the simple harmonic oscillator (SHO). For testing the sensor in a long-term frequency analysis, a phase- locked loop (PLL) circuit is employed, yielding a frequency stability of up to 0.753 Hz at an Allan variance of 3.77 × 10 -6 . This proposed asymmetric resonance frequency analysis method is expected to be further used in the process development of the next-generation Cantor. (paper)
GÜNEY, Zekeriya; KORKMAZ, Nebiye
2014-01-01
Özet Georg Cantor, kümeler kuramı ve matematiksel biçimciliğin öncüsüdür. Cantor’un özellikle sonsuzluklarla ilgili çalışmaları matematikte devrim niteliğindedir ve başta topoloji olmak üzere matematiğin çeşitli alanlarında önemli gelişmelere yol açmıştır. Cantor Kuramı’nın pür matematiksel karakteri, matematiğe ve matematik eğitimine yeni bir bakış açısı getirmiş ve matematiğin asıl eğitimsel öneminin, bir zihin jimnastiği olmasından geldiği daha iyi anlaşılır olmuştur. Matematiğin, herhang...
Optical transmission through multi-component generalized Thue-Morse superlattices
Energy Technology Data Exchange (ETDEWEB)
Zhang Guogang [MOE Key Laboratory of Laser Life Science and Institute of Laser Life Science, South China Normal University, Guangzhou 510631 (China); Yang Xiangbo, E-mail: xbyang@scnu.edu.c [MOE Key Laboratory of Laser Life Science and Institute of Laser Life Science, South China Normal University, Guangzhou 510631 (China); Li Yuhong; Song Huanhuan [MOE Key Laboratory of Laser Life Science and Institute of Laser Life Science, South China Normal University, Guangzhou 510631 (China)
2010-09-01
In this paper, by the three kinds of basic components (BCs) of three-component Thue-Morse (3CTM) sequence we construct a type of interesting optical basic-structural-units (BSUs) and propose multi-component generalized Thue-Morse (mCGTM) model. Based on the conventional electromagnetic wave theory we investigate the optical transmission vertically through the one-dimensional (1D) mCGTM superlattices. It is found that the optical transmission possesses an interesting pseudo-constant characteristic at the central wavelength. mCGTM sequence exhibits a cantor-set structure which results in the system possessing certain kinds of effective component pairs (ECPs), and each kind of ECP brings about certain contribution towards the optical transmission. The cantor-set structure is the reason that mCGTM multilayers exhibit the optical transmission pseudo-constant property. For the pseudo-constant optical transmission of mCGTM superlattices, there would be a potential application in the designing of some complex optical devices.
General topology meets model theory, on p and t.
Malliaris, Maryanthe; Shelah, Saharon
2013-08-13
Cantor proved in 1874 [Cantor G (1874) J Reine Angew Math 77:258-262] that the continuum is uncountable, and Hilbert's first problem asks whether it is the smallest uncountable cardinal. A program arose to study cardinal invariants of the continuum, which measure the size of the continuum in various ways. By Gödel [Gödel K (1939) Proc Natl Acad Sci USA 25(4):220-224] and Cohen [Cohen P (1963) Proc Natl Acad Sci USA 50(6):1143-1148], Hilbert's first problem is independent of ZFC (Zermelo-Fraenkel set theory with the axiom of choice). Much work both before and since has been done on inequalities between these cardinal invariants, but some basic questions have remained open despite Cohen's introduction of forcing. The oldest and perhaps most famous of these is whether " p = t," which was proved in a special case by Rothberger [Rothberger F (1948) Fund Math 35:29-46], building on Hausdorff [Hausdorff (1936) Fund Math 26:241-255]. In this paper we explain how our work on the structure of Keisler's order, a large-scale classification problem in model theory, led to the solution of this problem in ZFC as well as of an a priori unrelated open question in model theory.
Amin, Omar M; Ha, Ngyuen Van; Heckmann, Richard A
2008-02-01
Adults of 2 new species in 2 orders of acanthocephalans obtained from the intestines of terrestrial amphibians and reptiles collected between 1998 and 2004 in Vietnam are described here. Pseudoacanthocephalus nguyenthileae n. sp. (Palaeacnthocephala: Echinorhynchidae) was collected from 5 species of terrestrial amphibians: (1) the common Sunda toad Bufo melanostictus Schneider (Bufonidae); (2) Paa verucospinosa (Bourret); (3) Gunther's Amoy frog Rana guentheri Boulenger; (4) Taipei frog R. taipehensis Denburgh (Ranidae), and (5) the Burmese whipping frog Polypedates mutus (Smith) (Racophoridae); as well as from the Chinese cobra Naja atra Cantor (Reptilia: Elapidae) and house gecko Hemidactylus frenatus Dumeril and Bibron (Reptilia: Gekkonidae). Sphaerechinorhynchus maximesospinus n. sp. (Plagiorhynchidae: Sphaerechinorhynchinae) was isolated from a king cobra Ophiophagus hannah (cantor) (Reptilia: Elapidae). Cystacanths of Porrorchis houdemeri (Joyeux and Baer, 1935) Schmidt and Kuntz, 1967 (Plagiorhynchidae: Porrorchinae) obtained from the mesenteries of banded krait Bungarus fasciatus (Schneider) (Reptilia: Elapidae), a paratenic host, are reported for the first time. Keys to the species of Pseudoacanthocephalus and Sphaerechinorhynchus are included. Characteristic features distinguishing the new species from related taxa include: P. nguyenthileae has 15-19 (usually 16-18) proboscis hook rows, each with 5-6 hooks that progressively increase in length and size posteriorly. The largest, intermediate, and smallest proboscis hooks of S. maximesospinus are the middle, anterior, and posterior hooks, respectively; the proboscis and neck are enclosed in a membrane. Morphometric characteristics of P. nguyenthileae show host-related variability.
Directory of Open Access Journals (Sweden)
Orli Franzon
2010-03-01
Full Text Available INTRODUÇÃO: A síndrome do intestino curto resulta de comprimento total de intestino delgado inadequado para manter a nutrição, e assim, os pacientes tornam-se cronicamente dependentes de nutrição parenteral total. Numerosas estratégias cirúrgicas foram estudadas para restabelecer a função intestinal normal. OBJETIVO: Propor a utilização da inversão de segmento de alça associada à STEP - Serial Transverse Enteroplasty - para aumentar a área absortiva intestinal em pacientes com síndrome do intestino curto. MÉTODO: Os autores descrevem uma nova alternativa para o tratamento cirúrgico da síndrome do intestino curto, demonstrando sua facilidade e eficiência para o objetivo proposto. RESULTADOS: As duas técnicas associadas permitiram alongar a alça intestinal em 2,6 vezes do comprimento original, com posterior ganho de peso, redução do número de evacuações para uma exoneração ao dia e melhora da qualidade de vida social e psicológica. CONCLUSÃO: Essa técnica de inversão de segmento de alça intestinal e posterior STEP surge como tratamento eficiente e definitivo à síndrome do intestino curto de forma promissora e segura permitindo retorno à alimentação por via oral com satisfatória absorção de nutrientes e ganho de peso, retorno da motilidade efetiva intestinal, associada à baixa morbidade e melhoria da qualidade de vida social e psicológica. Apesar de requerer várias cargas de grampeadores lineares apresenta baixa morbidade e passa a tornar-se um potencial substituto para o transplante intestinal.BACKGROUND: The short bowel syndrome results of inadequate total length of small intestine that is not enough to nutrition, and so, the patients become dependents of total parenteral nutrition. Numerous surgical strategies had been studied to reestablish the normal intestinal function. OBJECTIVE: Consider the inversion segment of small intestine associated with STEP - Serial Transverse Enteroplasty - to increase
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Gabriel Peixoto Leão Almeida
2009-12-01
Full Text Available O alongamento muscular é utilizado nas práticas desportivas para aumentar a flexibilidade muscular e amplitude articular, mas estudos mostram que pode produzir efeitos deletérios na produção de força muscular. A proposta deste estudo foi verificar a influência imediata e tardia do alongamento dos músculos isquiostibiais e retofemoral, por meio da facilitação neuromuscular proprioceptiva (FNP, no pico de torque e potência máxima do joelho. Quinze jovens sedentárias foram distribuídas em três grupos: GA, submetidas a 12 sessões de alongamento durante quatro semanas; GB, a apenas uma sessão de alongamento imediatamente antes da avaliação final; e GC, à mobilização articular passiva do joelho, de forma a não alongar. Todas as participantes foram avaliadas quanto à amplitude de movimento (ADM de flexão e extensão do joelho, e à dinamometria isocinética, antes e após a intervenção, mensurando-se ADM, pico de torque (PT e potência máxima (PM do joelho. Observou-se diferença entre as médias dos três grupos na ADM após a intervenção (p0,05. Os grupos GA e GB apresentaram melhoras na ADM e apenas o grupo GC apresentou melhora significativa em todas as variáveis isocinéticas (pMuscle stretching is often used in sports practice in order to increase muscle flexibility and joint range of motion. However, many studies have shown that muscle torque production may be reduced after stretching. The purpose of this work was to assess immediate and late effects of stretching, by proprioceptive neuromuscular facilitation (PNF techniques, on knee peak torque and maximum power. Fifteen young sedentary female subjects were evenly distributed into three groups: AG, submitted to 12 PNF stretching sessions along four weeks; BG, submitted to only one stretching session just before the final evaluation; and GC, submitted to passive knee mobilization so as not to produce muscle stretching. All of them were assessed, before and after
Routine Early Angioplasty after Fibrinolysis
DEFF Research Database (Denmark)
Wang, Zhipeng; Liang, Bo; Mei, Qibing
2009-01-01
patients in the group that underwent routine early PCI than in the group that received standard treatment received clopidogrel (Ppatients who undergo PCI, as well as in those who do not, is well established,1...... with early beta-blocker therapy is taken into consideration.3 The overall benefit of clopidogrel and beta-blocker therapy could have influenced the outcome in patients who underwent early PCI. These facts leave the conclusion of the TRANSFER-AMI trial still highly uncertain.......To the Editor: Cantor et al. report that there is a significantly reduced rate of ischemic complications among patients with myocardial infarction with ST-segment elevation who are transferred for PCI within 6 hours after fibrinolysis. However, Table 2 of the article shows that significantly more...
A first course in topology continuity and dimension
McCleary, John
2006-01-01
How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincar� argued philosophically about the necessity of the three familiar dimensions, while recent research is based on 11 dimensions or even 23 dimensions. The notion of dimension itself presented a basic problem to the pioneers of topology. Cantor asked if dimension was a topological feature of Euclidean space. To answer this question, some important topological ideas were introduced by Brouwer, giving shape to a subject whose development dominated the twentieth century. The basic notions in topology are varied and a comprehensive grounding in point-set topology, the definition and use of the fundamental group, and the beginnings of homology theory requires considerable time. The goal of this book is a focused introduction through these classical topics, aiming throughout at the classical result of the Invariance of Dimension. This text is based on the author's course given at Vassar College and is intended fo...
Addressing the Issue: Bullying and LGBTQ Youth
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Kimberly Allen
2014-09-01
Full Text Available Each day, thousands of youth experience bullying and as many of 70% of all youth report having experienced bullying, either directly or indirectly (Cantor, 2005. For Gay, Lesbian, Bi-sexual, Transgender and Questioning (LGBTQ youth, the chances of experiencing bullying are much higher than for youth in the general population (Russell, Horn, Kosciw, & Saewyc, 2010. Although many youth serving organizations have begun to address the issue of bullying with bullying prevention programs, there is a deficit of information and a lack of inclusion of prevention efforts that specifically address LGBTQ youth. This article address the role of youth organizations in creating safe and inclusive environments for all youth, with specific attention paid to resources and strategies for inclusive environments for LGBTQ youth.
On three-dimensional spherical acoustic cloaking
International Nuclear Information System (INIS)
Munteanu, Ligia; Chiroiu, Veturia
2011-01-01
Transformation acoustics opens a new avenue towards the design of acoustic metamaterials, which are materials engineered at the subwavelength scale in order to mimic the parameters in wave equations. The design of the acoustic cloaking is based on the property of equations being invariant under a coordinate transformation, i.e. a specific spatial compression is equivalent to a variation of the material parameters in the original space. In this paper, the sound invisibility performance is discussed for spherical cloaks. The original domain consists of alternating concentric layers made from piezoelectric ceramics and epoxy resin, following a triadic Cantor sequence. The spatial compression, obtained by applying the concave-down transformation, leads to an equivalent domain with an inhomogeneous and anisotropic distribution of the material parameters.
Scaling properties of optical reflectance from quasi-periodic superlattices
International Nuclear Information System (INIS)
Wu Xiang; Yao Hesheng; Feng Weiguo
1991-08-01
The scaling properties of the optical reflectance from two types of quasi-periodic metal-insulator superlattices, one with the structure of Cantor bars and the other with the structure of Cantorian-Fibonaccian train, have been studied for the region of s-polarized soft x-rays and extreme ultraviolet. By using the hydrodynamic model of electron dynamics and transfer-matrix method, and be taking into account retardation effects, we have presented the formalism of the reflectivity for the superlattices. From our numerical results, we found that the reflection spectra of the quasi-superlattices have a rich structure of self-similarity. The interesting scaling indices, which are related to the fractal dimensions, of the spectra are also discussed for the two kinds of the quasi-superlattices. (author). 10 refs, 7 figs
Endomorphisms of the Cuntz algebras
DEFF Research Database (Denmark)
Conti, Roberto; Hong, Jeong Hee; Szymanski, Wojciech
2012-01-01
This mainly expository article is devoted to recent advances in the study of dynamical aspects of the Cuntz algebras O_n, n
Some properties for the intersection of Moran sets with their translates
International Nuclear Information System (INIS)
Dai Meifeng; Tian Lixin
2007-01-01
Motivated by Mandelbrot's idea of referring to lacunarity of Cantor sets in terms of departure from translation invariance, Nekka and Li studied the properties of these translation sets and showed how they can be used for the classification purpose. In this paper, we pursue this study on a class of Moran sets with their rational translates. We also get the fractal structure of intersection I(x, y) of a class of Moran sets with their rational translates, and the formula of the box-counting dimension. We find that the Hausdorff measures of these sets form a discrete spectrum whose non-zero values come only from shifting vector with the expansion in fraction of (x, y). Concretely, when (x, y) has a finite expansion in fraction, a very brief calculation formula of the measure is given
Lectures on fractal geometry and dynamical systems
Pesin, Yakov
2009-01-01
Both fractal geometry and dynamical systems have a long history of development and have provided fertile ground for many great mathematicians and much deep and important mathematics. These two areas interact with each other and with the theory of chaos in a fundamental way: many dynamical systems (even some very simple ones) produce fractal sets, which are in turn a source of irregular "chaotic" motions in the system. This book is an introduction to these two fields, with an emphasis on the relationship between them. The first half of the book introduces some of the key ideas in fractal geometry and dimension theory--Cantor sets, Hausdorff dimension, box dimension--using dynamical notions whenever possible, particularly one-dimensional Markov maps and symbolic dynamics. Various techniques for computing Hausdorff dimension are shown, leading to a discussion of Bernoulli and Markov measures and of the relationship between dimension, entropy, and Lyapunov exponents. In the second half of the book some examples o...
Cross-over for the sine map and the driven damped pendulum
International Nuclear Information System (INIS)
Alstroem, P.; Levinsen, M.T.; Rasmussen, D.R.
1986-01-01
The sine map f ε (x)=x+μ-(1-ε) sin (2πx)/2π is by iteration known to exhibit a devil's staircase, which becomes complete as ε tends to zero. Here, the basic work of Shenker, concerning the scaling relations at the golden mean, is generalized. For periodic irrationals, the covergence of the step sizes, the minimal distances from cycle elements to zero mod 1, and their average values, are treated. Furthermore, the self-similarity of the step structures provides a set of ''similarity-dimensions'', as well as a set of ''sub-fractals'', emphasizing the close connection to Cantor's discontinuum. Also, the driven damped pendulum is considered. Surprisingly, some differences occur concerning the scaling exponents. Based on analog computations, scaling functions are found, and the differences from the sine map results are discussed. (orig.)
Operator Semigroups meet Complex Analysis, Harmonic Analysis and Mathematical Physics
Chill, Ralph; Tomilov, Yuri
2015-01-01
This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrödinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor. The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern...
International Nuclear Information System (INIS)
Marek-Crnjac, L.
2004-01-01
In the present work we give an introduction to the ε (∞) Cantorian space-time theory. In this theory every particle can be interpreted as a scaling of another particle. Some particles are a scaling of the proton and are expressed in terms of phi and α-bar 0 . Following the VAK suggestion of El Naschie, the limit sets of Kleinian groups are Cantor sets with Hausdorff dimension phi or a derivative of phi such as 1/phi, 1/phi 2 , 1/phi 3 , etc. Consequently and using ε (∞) theory, the mass spectrum of elementary particles may be found from the limit set of the Moebius-Klein geometry of quantum space-time as a function of the golden mean phi=(}5-1)/2=0.618033989 as discussed recently by Datta (see Chaos, Solitons and Fractals 17 (2003) 621-630)
Surprises and counterexamples in real function theory
Rajwade, A R
2007-01-01
This book presents a variety of intriguing, surprising and appealing topics and nonroutine theorems in real function theory. It is a reference book to which one can turn for finding that arise while studying or teaching analysis.Chapter 1 is an introduction to algebraic, irrational and transcendental numbers and contains the Cantor ternary set. Chapter 2 contains functions with extraordinary properties; functions that are continuous at each point but differentiable at no point. Chapters 4 and intermediate value property, periodic functions, Rolle's theorem, Taylor's theorem, points of tangents. Chapter 6 discusses sequences and series. It includes the restricted harmonic series, of alternating harmonic series and some number theoretic aspects. In Chapter 7, the infinite peculiar range of convergence is studied. Appendix I deal with some specialized topics. Exercises at the end of chapters and their solutions are provided in Appendix II.This book will be useful for students and teachers alike.
Role of short periodic orbits in quantum maps with continuous openings
Prado, Carlos A.; Carlo, Gabriel G.; Benito, R. M.; Borondo, F.
2018-04-01
We apply a recently developed semiclassical theory of short periodic orbits to the continuously open quantum tribaker map. In this paradigmatic system the trajectories are partially bounced back according to continuous reflectivity functions. This is relevant in many situations that include optical microresonators and more complicated boundary conditions. In a perturbative regime, the shortest periodic orbits belonging to the classical repeller of the open map—a cantor set given by a region of exactly zero reflectivity—prove to be extremely robust in supporting a set of long-lived resonances of the continuously open quantum maps. Moreover, for steplike functions a significant reduction in the number needed is obtained, similarly to the completely open situation. This happens despite a strong change in the spectral properties when compared to the discontinuous reflectivity case. In order to give a more realistic interpretation of these results we compare with a Fresnel-type reflectivity function.
LA GEOMETRIA NON-ARCHIMEDEA. DALLE PREMESSE AGLI INFINITI MODELLI ATTUALI
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R. Mascella
2006-02-01
Full Text Available La geometria non-archimedea sembra essere un’ipotesi astratta e fantasiosa, accettabile nella matematica ma non per la rappresentazione spaziale, perché usa concetti a lungo esplorati nel pensiero scientifico e filosofico e spesso rigettati, quali l’infinito e l’infinitesimo attuali. L’articolo analizza gli aspetti storici, epistemologici, filosofici e matematici legati a questa geometria ed alle sue radici, considerando l’impostazione dell’inventore Giuseppe Veronese, della formalizzazione analitica di Levi-Civita e di altri matematici e filosofici che sul tema hanno fornito risultati e dibattuto, quali Cantor, Hilbert e Hahn, per terminare con gli infiniti modelli che oggi conosciamo. Questa geometria appare sottovalutata, ma si presta ad un ruolo non meno importante di alcune alternative non-euclidee, spesso semplicisticamente considerate come uniche varianti astratte dei modelli euclideo e riemanniano.
Krantz, Steven G
2014-01-01
Number Systems The Real Numbers The Complex Numbers Sequences Convergence of Sequences Subsequences Limsup and Liminf Some Special Sequences Series of Numbers Convergence of Series Elementary Convergence Tests Advanced Convergence Tests Some Special Series Operations on Series Basic Topology Open and Closed Sets Further Properties of Open and Closed Sets Compact Sets The Cantor SetConnected and Disconnected Sets Perfect Sets Limits and Continuity of Functions Basic Properties of the Limit of a Function Continuous Functions Topological Properties and Continuity Classifying Discontinuities and Monotonicity Differentiation of Functions The Concept of Derivative The Mean Value Theorem and Applications More on the Theory of Differentiation The Integral Partitions and the Concept of Integral Properties of the Riemann IntegralSequences and Series of Functions Convergence of a Sequence of Functions More on Uniform Convergence Series of Functions The Weierstrass Approximation Theorem Elementary Transcendental Function...
Introduction to calculus and classical analysis
Hijab, Omar
2016-01-01
This completely self-contained text is intended either for a course in honors calculus or for an introduction to analysis. Beginning with the real number axioms, and involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate math majors. This fourth edition includes an additional chapter on the fundamental theorems in their full Lebesgue generality, based on the Sunrise Lemma. Key features of this text include: • Applications from several parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; • A heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; • Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; • A self-contained t...
Approximating chaotic saddles for delay differential equations.
Taylor, S Richard; Campbell, Sue Ann
2007-04-01
Chaotic saddles are unstable invariant sets in the phase space of dynamical systems that exhibit transient chaos. They play a key role in mediating transport processes involving scattering and chaotic transients. Here we present evidence (long chaotic transients and fractal basins of attraction) of transient chaos in a "logistic" delay differential equation. We adapt an existing method (stagger-and-step) to numerically construct the chaotic saddle for this system. This is the first such analysis of transient chaos in an infinite-dimensional dynamical system, and in delay differential equations in particular. Using Poincaré section techniques we illustrate approaches to visualizing the saddle set, and confirm that the saddle has the Cantor-like fractal structure consistent with a chaotic saddle generated by horseshoe-type dynamics.
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Tairone Paiva Leão
2010-08-01
Full Text Available Fractal mathematics has been used to characterize water and solute transport in porous media and also to characterize and simulate porous media properties. The objective of this study was to evaluate the correlation between the soil infiltration parameters sorptivity (S and time exponent (n and the parameters dimension (D and the Hurst exponent (H. For this purpose, ten horizontal columns with pure (either clay or loam and heterogeneous porous media (clay and loam distributed in layers in the column were simulated following the distribution of a deterministic Cantor Bar with fractal dimension H" 0.63. Horizontal water infiltration experiments were then simulated using Hydrus 2D software. The sorptivity (S and time exponent (n parameters of the Philip equation were estimated for each simulation, using the nonlinear regression procedure of the statistical software package SAS®. Sorptivity increased in the columns with the loam content, which was attributed to the relation of S with the capillary radius. The time exponent estimated by nonlinear regression was found to be less than the traditional value of 0.5. The fractal dimension estimated from the Hurst exponent was 17.5 % lower than the fractal dimension of the Cantor Bar used to generate the columns.A matemática fractal tem sido utilizada para caracterizar o transporte de água e solutos em meios porosos e também para simular características físicas e geométricas de meios porosos. O objetivo deste trabalho foi avaliar a correlação entre os parâmetros de infiltração de água sortividade e expoente de tempo (n e os parâmetros dimensão fractal (D e expoente de Hurst (H. Para isso, dez colunas horizontais foram simuladas em computador, sendo preenchidas com material de textura franca ou argilosa, puros ou em combinações de camadas alternadas dos dois materiais, seguindo a distribuição de um Conjunto de Cantor determinístico com dimensão fractal 0,63. As simulações de movimento
Strange functions in real analysis
Kharazishvili, AB
2005-01-01
Weierstrass and Blancmange nowhere differentiable functions, Lebesgue integrable functions with everywhere divergent Fourier series, and various nonintegrable Lebesgue measurable functions. While dubbed strange or "pathological," these functions are ubiquitous throughout mathematics and play an important role in analysis, not only as counterexamples of seemingly true and natural statements, but also to stimulate and inspire the further development of real analysis.Strange Functions in Real Analysis explores a number of important examples and constructions of pathological functions. After introducing the basic concepts, the author begins with Cantor and Peano-type functions, then moves to functions whose constructions require essentially noneffective methods. These include functions without the Baire property, functions associated with a Hamel basis of the real line, and Sierpinski-Zygmund functions that are discontinuous on each subset of the real line having the cardinality continuum. Finally, he considers e...
Intersection of the Sierpinski carpet with its rational translate
International Nuclear Information System (INIS)
Dai Meifeng; Tian Lixin
2007-01-01
Motivated by Mandelbrot's idea of referring to lacunarity of Cantor sets in terms of departure from translation invariance, Nekka and Li studied the properties of these translation sets and showed how they can be used for a classification purpose. In this paper, we pursue this study on the Sierpinski carpet with its rational translate. We also get the fractal structure of intersection I(x, y) of the Sierpinski carpet with its translate. We find that the packing measure of these sets forms a discrete spectrum whose non-zero values come only from shifting numbers with a finite triadic expansion. Concretely, when x and y have a finite triadic expansion, a very brief calculation formula of the measure is given
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Marshall Naylor
2018-01-01
Full Text Available Prominent approaches to the problems of evil assume that even if the Anselmian God exists, some worlds are better than others, all else being equal. But the assumptions that the Anselmian God exists and that some worlds are better than others cannot be true together. One description, by Mark Johnston and Georg Cantor, values God’s existence as exceeding any transfinite cardinal value. For any finite or infinite amount of goodness in any possible world, God’s value infinitely exceeds that amount. This conception is not obviously inconsistent with the Anselmian God. As a result, the prominent approaches to the problems of evil are mistaken. The elimination of evil does not, in fact, improve the value of any world as commonly thought. Permitting evil does not, in fact, diminish the value of any world as commonly thought.
Affinity of four polar neurotransmitters for lipid bilayer membranes
DEFF Research Database (Denmark)
Wang, Chunhua; Ye, Fengbin; Valardez, Gustavo F.
2011-01-01
. The simulations suggest that this attraction mainly relies on electrostatic interactions of the amino group of the neurotransmitter and the lipid phosphate. We conclude that moderate attraction to lipid membranes occurs for some polar neurotransmitters and hence that one premise for a theory of bilayer-mediated......Weak interactions of neurotransmitters and the lipid matrix in the synaptic membrane have been hypothesized to play a role in synaptic transmission of nerve signals, particularly with respect to receptor desensitization (Cantor, R. S. Biochemistry 2003, 42, 11891). The strength of such interactions......, however, was not measured, and this is an obvious impediment for further evaluation and understanding of a possible role for desensitization. We have used dialysis equilibrium to directly measure the net affinity of selected neurotransmitters for lipid membranes and analyzed this affinity data...
Discrete chaos with applications in science and engineering
Elaydi, Saber N
2007-01-01
PREFACE FOREWORD The Stability of One-Dimensional Maps Introduction Maps vs. Difference Equations Maps vs. Differential Equations Linear Maps/Difference Equations Fixed (Equilibrium) Points Graphical Iteration and Stability Criteria for Stability Periodic Points and Their Stability The Period-Doubling Route to Chaos Applications Attraction and Bifurcation Introduction Basin of Attraction of Fixed Points Basin of Attraction of Periodic Orbits Singer's Theorem Bifurcation Sharkovsky's Theorem The Lorenz Map Period-Doubling in the Real World Poincaré Section/Map Appendix Chaos in One Dimension Introduction Density of the Set of Periodic Points Transitivity Sensitive Dependence Definition of Chaos Cantor Sets Symbolic Dynamics Conjugacy Other Notions of Chaos Rössler's Attractor Saturn's Rings Stability of Two-Dimensional Maps Linear Maps vs. Linear Systems Computing An Fundamental Set of Solutions Second-Order Difference Equations Phase Space ...
Antología hispánica: Jorge Guillén, natural de Valladolid
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Eduardo Carranza
1967-03-01
Full Text Available Valladolid -piedras doradas, insigne catedral herreriana, algunos pórticos del barroco más delirante, museo portentoso de imaginería sacra, viejos palacios, austeros conventos, algún jardín neoclásico- Valladolid, capital de Felipe III, asiento de la corte pre-renacentista de los Reyes Católicos, urbe impregnada de tradición latinizante, patria del terso y vigoroso Núñez de Arce (y patria, parece increíble, de Zorrilla, cantor de la Alhambra, puso en el temperamento de Jorge Guillén un mandato hacia la contención latina, hacia la nitidez lineal del contorno poético, hacia el acerado perfil de la estrofa.
Enhancement of Light Localization in Hybrid Thue-Morse/Periodic Photonic Crystals
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Rihab Asmi
2016-01-01
Full Text Available The electric field intensity in one-dimensional (1D quasiperiodic and hybrid photonics band-gap structures is studied in the present paper. The photonic structures are ordered according to Fibonacci, Thue-Morse, Cantor, Rudin-Shapiro, Period-Doubling, Paper-Folding, and Baum-Sweet sequences. The study shows that the electric field intensity is higher for the Thue-Morse multilayer systems. After that the Thue-Morse structure will be combined with a periodic structure to form a hybrid photonic structure. It is shown that this hybrid system is the best for a strong localization of light. The proposed structures have been modeled using the Transfer Matrix Method.
Cellular automata analysis and applications
Hadeler, Karl-Peter
2017-01-01
This book focuses on a coherent representation of the main approaches to analyze the dynamics of cellular automata. Cellular automata are an inevitable tool in mathematical modeling. In contrast to classical modeling approaches as partial differential equations, cellular automata are straightforward to simulate but hard to analyze. In this book we present a review of approaches and theories that allow the reader to understand the behavior of cellular automata beyond simulations. The first part consists of an introduction of cellular automata on Cayley graphs, and their characterization via the fundamental Cutis-Hedlund-Lyndon theorems in the context of different topological concepts (Cantor, Besicovitch and Weyl topology). The second part focuses on classification results: What classification follows from topological concepts (Hurley classification), Lyapunov stability (Gilman classification), and the theory of formal languages and grammars (Kůrka classification). These classifications suggest to cluster cel...
Quasi-measures, Hausdorff p-measures and Walsh and Haar series
Energy Technology Data Exchange (ETDEWEB)
Plotnikov, Mikhail G [Vologda State Academy of Milk Industry, Molochnoe, Vologda Region (Russian Federation)
2010-09-07
We study the classes of multiple Haar and Walsh series with at most polynomial growth of the rectangular partial sums. In terms of the Hausdorff p-measure, we find a sufficient condition (a criterion for the multiple Haar series) for a given set to be a U-set for series in the given class. We solve the recovery problem for the coefficients of the series in this class converging outside a uniqueness set. A Bari-type theorem is proved for the relative uniqueness sets for multiple Haar series. For one-dimensional Haar series, we get a criterion for a given set to be a U-set under certain assumptions that generalize the Arutyunyan-Talalyan conditions. We study the problem of describing those Cantor-type sets that are relative uniqueness sets for Haar series.
Some properties for the intersection of Moran sets with their translates
Energy Technology Data Exchange (ETDEWEB)
Dai Meifeng [Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013 (China)]. E-mail: daimf@ujs.edu.cn; Tian Lixin [Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013 (China)]. E-mail: tianlx@ujs.edu.cn
2007-02-15
Motivated by Mandelbrot's idea of referring to lacunarity of Cantor sets in terms of departure from translation invariance, Nekka and Li studied the properties of these translation sets and showed how they can be used for the classification purpose. In this paper, we pursue this study on a class of Moran sets with their rational translates. We also get the fractal structure of intersection I(x, y) of a class of Moran sets with their rational translates, and the formula of the box-counting dimension. We find that the Hausdorff measures of these sets form a discrete spectrum whose non-zero values come only from shifting vector with the expansion in fraction of (x, y). Concretely, when (x, y) has a finite expansion in fraction, a very brief calculation formula of the measure is given.
Directory of Open Access Journals (Sweden)
Angel Garrido
2010-04-01
Full Text Available The apparition of Fuzzy Logic has had a double repercussion on scientific research, and has provoked two types of reactions. From a theoretical point of view, it is indeed a very useful
generalization of the classical Set Theory proposed by Boole and Cantor, in this way making possible our analysis of uncertainty. But unfortunately, in his first steps it had to avoid the assaults of routine minds from the often too rigid mathematical field. This situation improved later, especially in nations with less deep-rooted prejudices. And by contrast, the new theory has obtained a strong rooting in nations with new and increasing scientific potential, such as China, Japan, and
South Korea. More recently it has also become rooted in European countries, such Hungary, Spain, and Romania, mainly due to its successful technical applications. We analyze some essential aspects of this new and powerful tool of Mathematical Analysis.
Energy Technology Data Exchange (ETDEWEB)
Marek-Crnjac, L
2004-02-01
In the present work we give an introduction to the {epsilon}{sup ({infinity}}{sup )} Cantorian space-time theory. In this theory every particle can be interpreted as a scaling of another particle. Some particles are a scaling of the proton and are expressed in terms of phi and {alpha}-bar{sub 0}. Following the VAK suggestion of El Naschie, the limit sets of Kleinian groups are Cantor sets with Hausdorff dimension phi or a derivative of phi such as 1/phi, 1/phi{sup 2}, 1/phi{sup 3}, etc. Consequently and using {epsilon}{sup ({infinity}}{sup )} theory, the mass spectrum of elementary particles may be found from the limit set of the Moebius-Klein geometry of quantum space-time as a function of the golden mean phi=({r_brace}5-1)/2=0.618033989 as discussed recently by Datta (see Chaos, Solitons and Fractals 17 (2003) 621-630)
Topology, calculus and approximation
Komornik, Vilmos
2017-01-01
Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejér, Stieltjes, and Turán. The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős and others. In the first part, the classical results of Alexandroff, Cantor, Hausdorff, Helly, Peano, Radon, Tietze and Urysohn illustrate the theories of metric, topological and normed spaces. Following this, the general framework of normed spaces and Carathéodory's definition of the derivative are shown to simplify the statement and proof of various theorems in calculus and ordinary differential equations. The third and final part is devoted to interpolation, orthogonal polynomials, numerical integration, asymptotic expansions and the numerical solution of algebraic and differential equations. Students of both pure an...
Approximating chaotic saddles for delay differential equations
Taylor, S. Richard; Campbell, Sue Ann
2007-04-01
Chaotic saddles are unstable invariant sets in the phase space of dynamical systems that exhibit transient chaos. They play a key role in mediating transport processes involving scattering and chaotic transients. Here we present evidence (long chaotic transients and fractal basins of attraction) of transient chaos in a “logistic” delay differential equation. We adapt an existing method (stagger-and-step) to numerically construct the chaotic saddle for this system. This is the first such analysis of transient chaos in an infinite-dimensional dynamical system, and in delay differential equations in particular. Using Poincaré section techniques we illustrate approaches to visualizing the saddle set, and confirm that the saddle has the Cantor-like fractal structure consistent with a chaotic saddle generated by horseshoe-type dynamics.
Relativized problems with abelian phase group in topological dynamics.
McMahon, D
1976-04-01
Let (X, T) be the equicontinuous minimal transformation group with X = pi(infinity)Z(2), the Cantor group, and S = [unk](infinity)Z(2) endowed with the discrete topology acting on X by right multiplication. For any countable group T we construct a function F:X x S --> T such that if (Y, T) is a minimal transformation group, then (X x Y, S) is a minimal transformation group with the action defined by (x, y)s = [xs, yF(x, s)]. If (W, T) is a minimal transformation group and varphi:(Y, T) --> (W, T) is a homomorphism, then identity x varphi:(X x Y, S) --> (X x W, S) is a homomorphism and has many of the same properties that varphi has. For this reason, one may assume that the phase group is abelian (or S) without loss of generality for many relativized problems in topological dynamics.
Encounters with chaos and fractals
Gulick, Denny
2012-01-01
Periodic Points Iterates of Functions Fixed Points Periodic Points Families of Functions The Quadratic Family Bifurcations Period-3 Points The Schwarzian Derivative One-Dimensional Chaos Chaos Transitivity and Strong Chaos Conjugacy Cantor Sets Two-Dimensional Chaos Review of Matrices Dynamics of Linear FunctionsNonlinear Maps The Hénon Map The Horseshoe Map Systems of Differential Equations Review of Systems of Differential Equations Almost Linearity The Pendulum The Lorenz System Introduction to Fractals Self-Similarity The Sierpiński Gasket and Other "Monsters"Space-Filling Curves Similarity and Capacity DimensionsLyapunov Dimension Calculating Fractal Dimensions of Objects Creating Fractals Sets Metric Spaces The Hausdorff Metric Contractions and Affine Functions Iterated Function SystemsAlgorithms for Drawing Fractals Complex Fractals: Julia Sets and the Mandelbrot Set Complex Numbers and Functions Julia Sets The Mandelbrot Set Computer Programs Answers to Selected Exercises References Index.
On the Accuracy of Ancestral Sequence Reconstruction for Ultrametric Trees with Parsimony.
Herbst, Lina; Fischer, Mareike
2018-04-01
We examine a mathematical question concerning the reconstruction accuracy of the Fitch algorithm for reconstructing the ancestral sequence of the most recent common ancestor given a phylogenetic tree and sequence data for all taxa under consideration. In particular, for the symmetric four-state substitution model which is also known as Jukes-Cantor model, we answer affirmatively a conjecture of Li, Steel and Zhang which states that for any ultrametric phylogenetic tree and a symmetric model, the Fitch parsimony method using all terminal taxa is more accurate, or at least as accurate, for ancestral state reconstruction than using any particular terminal taxon or any particular pair of taxa. This conjecture had so far only been answered for two-state data by Fischer and Thatte. Here, we focus on answering the biologically more relevant case with four states, which corresponds to ancestral sequence reconstruction from DNA or RNA data.
Random field Ising chain and neutral networks with synchronous dynamics
International Nuclear Information System (INIS)
Skantzos, N.S.; Coolen, A.C.C.
2001-01-01
We first present an exact solution of the one-dimensional random-field Ising model in which spin-updates are made fully synchronously, i.e. in parallel (in contrast to the more conventional Glauber-type sequential rules). We find transitions where the support of local observables turns from a continuous interval into a Cantor set and we show that synchronous and sequential random-field models lead asymptotically to the same physical states. We then proceed to an application of these techniques to recurrent neural networks where 1D short-range interactions are combined with infinite-range ones. Due to the competing interactions these models exhibit phase diagrams with first-order transitions and regions with multiple locally stable solutions for the macroscopic order parameters
Complex behaviour and predictability of the European dry spell regimes
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X. Lana
2010-09-01
Full Text Available The complex spatial and temporal characteristics of European dry spell lengths, DSL, (sequences of consecutive days with rainfall amount below a certain threshold and their randomness and predictive instability are analysed from daily pluviometric series recorded at 267 rain gauges along the second half of the 20th century. DSL are obtained by considering four thresholds, R_{0}, of 0.1, 1.0, 5.0 and 10.0 mm/day. A proper quantification of the complexity, randomness and predictive instability of the different DSL regimes in Europe is achieved on the basis of fractal analyses and dynamic system theory, including the reconstruction theorem. First, the concept of lacunarity is applied to the series of daily rainfall, and the lacunarity curves are well fitted to Cantor and random Cantor sets. Second, the rescaled analysis reveals that randomness, persistence and anti-persistence are present on the European DSL series. Third, the complexity of the physical process governing the DSL series is quantified by the minimum number of nonlinear equations determined by the correlation dimension. And fourth, the loss of memory of the physical process, which is one of the reasons for the complex predictability, is characterized by the values of the Kolmogorov entropy, and the predictive instability is directly associated with positive Lyapunov exponents. In this way, new bases for a better prediction of DSLs in Europe, sometimes leading to drought episodes, are established. Concretely, three predictive strategies are proposed in Sect. 5. It is worth mentioning that the spatial distribution of all fractal parameters does not solely depend on latitude and longitude but also reflects the effects of orography, continental climate or vicinity to the Atlantic and Arctic Oceans and Mediterranean Sea.
Estudo longitudinal de caracterização vocal em canto coral
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Raquel Hochmuller Vieira
2015-12-01
Full Text Available RESUMO: Objetivo: verificar quais os benefícios do canto coral para o aprimoramento dos padrões de emissão vocal pré e pós atividade de voz cantada. Métodos: em três diferentes etapas, no período de um ano, foram coletados dados de sinais e sintomas vocais, registros de voz para análise perceptivo-auditiva e acústica, com os parâmetros de frequência fundamental, jitter, shimmer e ruído glótico, assim como a extensão vocal e o tempo máximo de fonação. A amostra foi composta por 23 cantores amadores de um coral universitário pertencente à Universidade Federal de Ciências da Saúde de Porto Alegre. A análise estatística consistiu de cruzar os dados em diferentes etapas de avaliação. Resultados: observou-se que a maioria dos cantores não apresentou padrões inadequados de uso vocal. Houve melhora da consciência de uso e cuidados vocais e de parâmetros de análise acústica. Conclusão: no período de um ano de mensuração, foi possível verificar que a prática de canto coral trouxe benefícios vocais aos sujeitos por meio do desenvolvimento e aprimoramento individual da emissão vocal.
Bertke, Maik; Hamdana, Gerry; Wu, Wenze; Suryo Wasisto, Hutomo; Uhde, Erik; Peiner, Erwin
2017-06-01
In this paper, the asymmetric resonance frequency (f 0) responses of thermally in-plane excited silicon cantilevers for a pocket-sized, cantilever-based airborne nanoparticle detector (Cantor) are analysed. By measuring the shift of f 0 caused by the deposition of nanoparticles (NPs), the cantilevers are used as a microbalance. The cantilever sensors are low cost manufactured from silicon by bulk-micromachining techniques and contain an integrated p-type heating actuator and a sensing piezoresistive Wheatstone bridge. f 0 is tracked by a homemade phase-locked loop (PPL) for real-time measurements. To optimize the sensor performance, a new cantilever geometry was designed, fabricated and characterized by its frequency responses. The most significant characterisation parameters of our application are f 0 and the quality factor (Q), which have high influences on sensitivity and efficiency of the NP detector. Regarding the asymmetric resonance signal, a novel fitting function based on the Fano resonance replacing the conventionally used function of the simple harmonic oscillator and a method to calculate Q by its fitting parameters were developed for a quantitative evaluation. To obtain a better understanding of the resonance behaviours, we analysed the origin of the asymmetric line shapes. Therefore, we compared the frequency response of the on-chip thermal excitation with an external excitation using an in-plane piezo actuator. In correspondence to the Fano effect, we could reconstruct the measured resonance curves by coupling two signals with constant amplitude and the expected signal of the cantilever, respectively. Moreover, the phase of the measurement signal can be analysed by this method, which is important to understand the locking process of the PLL circuit. Besides the frequency analysis, experimental results and calibration measurements with different particle types are presented. Using the described analysis method, decent results to optimize a next
Directory of Open Access Journals (Sweden)
Rosa Helena Monteiro Bigélli
2005-09-01
Full Text Available BACKGROUND: The anorectal manometry is a very utilized and well recognized examination in children with chronic funcional constipation. The major manometric findings in these children are: anal hypotonia, anal hypertonia, paradoxal contraction of the external anal sphincter, decreased ability of internal anal sphincter to relax during rectal distension and alterations in rectal contractility, sensibility and compliance. AIMS: To evaluate the anal basal pressure and the relaxation reflex before and after standard treatment for a better understanding of the physiopathologic mechanisms involved in pediatric chronic functional constipation. METHODS: Anorectal manometry was performed before treatment on 20 children with chronic functional constipation aged 4 to 12 years and the results were compared to those obtained after standard treatment, with a good outcome. RESULTS: There was a reduction in anal basal pressure after treatment, but no differences were detected between the anorectal manometries performed before and after treatment in terms of amplitude and duration of relaxation, residual pressure, latency time, or descent and ascent angle. CONCLUSIONS: We conclude that the anal basal pressure decreased in children recovering from chronic functional constipation, but the standard treatment did not provide all the conditions necessary for the relaxation reflex of constipated children to return to the values described in normal children.RACIONAL: A manometria é um exame bastante utilizado e bem reconhecido no diagnóstico diferencial da constipação intestinal crônica na criança. Os achados manométricos mais comumente verificados nas crianças com constipação intestinal crônica funcional são: hipotonia e hipertonia anal, contração paradoxal do esfíncter anal externo, habilidade diminuída do esfíncter anal interno para relaxar durante a distensão retal, aumento da complacência e do limiar de sensibilidade retal, além de diminui
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Zenewton André da Silva Gama
2009-04-01
Full Text Available CONTEXTO: A otimização do treino de flexibilidade está relacionada com o uso de parâmetros adequados de alongamento. Entretanto, o intervalo de tempo adequado entre as sessões de alongamento tem sido pouco investigado. OBJETIVO: Verificar se a variação no intervalo de tempo entre sessões de alongamento influencia no ganho de flexibilidade. MÉTODOS: 28 mulheres, com idade de 22,5 ± 1,8 anos, foram distribuídas aleatoriamente em três grupos. Aplicaram-se 10 sessões de alongamento nos isquiotibiais do membro direito. O grupo 0X (n = 8 foi o controle e não recebeu alongamento. O grupo 3X (n = 10 alongou três vezes por semana (intervalo de 48 horas e o grupo 5X (n = 10, cinco vezes (intervalo de 24 horas. Aplicaram-se 10 sessões de alongamento (sustentar-relaxar nos isquiotibiais direitos. As medidas foram tomadas por análise fotométrica no programa AutoCad® 2000. A análise estatística foi realizada com ANOVA e teste post hoc de Newman-Keuls adotando um p-valor referencial de 0,05. RESULTADOS: Após 10 sessões, identificou-se aumento da flexibilidade nos grupos experimentais, porém sem diferença entre estes. O grupo 3X aumentou significativamente a partir do 10º dia do programa (quinta sessão e o grupo 5X, a partir do terceiro (terceira sessão. CONCLUSÕES: O alongamento aumenta a flexibilidade dos isquiotibiais, independente do tempo entre as sessões (24 ou 48 horas; e a variável tempo não influencia o ganho de flexibilidade total. Porém, com cinco sessões semanais, ganha-se flexibilidade mais rapidamente. Isso sugere que o ganho de flexibilidade é sessão-dependente.CONTEXT: The optimization of flexibility training is related to the use of ideal stretching parameters. However, the time interval between sessions has been little investigated. OBJECTIVE: To verify if the variation in time interval between stretching sessions influences in flexibility gain. METHODOLOGY: Twenty-eight women, average age of 22.5 ± 1
Directory of Open Access Journals (Sweden)
Juliana Roman dos Santos Oliveira
2010-09-01
Full Text Available As más condições laborais e a forma de organização do trabalho dentro do sistema capitalista frequentemente têm se mostrado nocivas para o trabalhador. Além disso, a chamada síndrome da fadiga crônica é um dos males que acomete a classe trabalhadora. Por meio de revisão teórica buscou-se caracterizar a síndrome, suas possíveis causas e consequências e o papel do psicólogo nas organizações. A fadiga pode ser compreendida como um esgotamento físico e mental, culminando em consequências para a saúde do trabalhador. Excesso de trabalho, pressão por produção, turnos alternados, riscos físicos e falta de autonomia são alguns fatores apontados como prováveis desencadeadores da síndrome, e as consequências encontradas vão desde baixo rendimento e maior risco de acidentes de trabalho até dificuldade para relaxar em momentos de lazer. É papel do psicólogo do trabalho e organizacional realizar ações remediadoras e preventivas que impeçam ou dificultem o aparecimento da fadiga no trabalho.Las más condiciones de trabajo y la forma de organización en el sistema capitalista se mostra mala para el trabajador. También, el Síndrome de la sobrecarga crónica, es uno de los males que rondan los trabajadores hoy. Por el medio de la revisión teórica, se intentó caracterizarlo, sus posibles causas, consecuencias y la función del psicólogo en las organizaciones. La sobrecarga puede ser comprendida como un agotamiento físico y mental, acarreando en consecuencias para su salud. El exceso de trabajo, producción, turnos alternos, riesgos físicos y falta de autonomía son factores apuntados como probables desencadenadores del síndrome y sus consecuencias son bajos réditos, mayores riesgos de accidentes de trabajo y dificultad para relajar en los ratos de recreación. Es la función del psicólogo del trabajo y organizacional realizar acciones remediables y preventivas que impidan el aparecimiento de la sobrecarga en el
Gerik, A.; Kruhl, J. H.
2006-12-01
The quantitative analysis of patterns as a geometric arrangement of material domains with specific geometric or crystallographic properties such as shape, size or crystallographic orientation has been shown to be a valuable tool with a wide field of applications in geo- and material sciences. Pattern quantification allows an unbiased comparison of experimentally generated or theoretical patterns with patterns of natural origin. In addition to this, the application of different methods can also provide information about different pattern forming processes. This information includes the distribution of crystals in a matrix - to analyze i.e. the nature and orientation of flow within a melt - or the governing shear strain regime at the point of time the pattern was formed as well as nature of fracture patterns of different scales, all of which are of great interest not only in structural and engineering geology, but also in material sciences. Different approaches to this problem have been discussed over the past fifteen years, yet only few of the methods were applied successfully at least to single examples (i.e. Velde et al., 1990; Harris et al., 1991; Peternell et al., 2003; Volland &Kruhl, 2004). One of the reasons for this has been the high expenditure of time that was necessary to prepare and analyse the samples. To overcome this problem, a first selection of promising methods have been implemented into a growing collection of software tools: (1) The modifications that Harris et al. (1991) have suggested for the Cantor's dust method (Velde et al., 1990) and which have been applied by Volland &Kruhl (2004) to show the anisotropy in a breccia sample. (2) A map-counting method that uses local box-counting dimensions to map the inhomogeneity of a crystal distribution pattern. Peternell et al. (2003) have used this method to analyze the distribution of phenocrysts in a porphyric granite. (3) A modified perimeter method that relates the directional dependence of the
Use of IPA to demonstrate loss of forest interior birds from isolated woodlots
Robbins, C.S.; Boone, D.D.; Purroy, F.J.
1983-01-01
'Empleo de indices puntuales de abundancia (IPA) para demostrar la perdida de aves forestales en bosques aislados'. En Maryland, E.U., se seleccionaron bloques boscosos de diferente superficie, divididos en seis clase de tamano (2,8-6 ha, 7-14, 20-30, 34-80, 105-1300, mayores de 4000 ha). En estas ?islas' forestales fue programado un conjunto de muestreos puntuales con estas caracteristicas: 1) Cada punto se visito tres veces. 2) En cada visita se hicieron cuatro censos consecutivos de 5 minutos de duracion, empleando diferentes simbolos para machos cantores, adultos no cantores, aves en vuelo y aves inmaduras. 3) Los conteos se hicieron en tres epocas: final de Mayo, mitad de Junio y final de Junio. 4) Se dividio el tiempo de censo en tres priodos horarios: 5,15-6,30 ; 6,30-8; 8-9,30 hrs. 5) Los puntos se agruparon en co juntos de 4 a 9, considerando que un conjunto es el nlimero que un observador puede cubrir por manana. 6) La vegetacion fue descrita exhaustivamente en cuanto composicion y fisionomla. El principal objetivo que se busca consiste en conocer los requisitos areales de ciertas especies de bosque muy sensibles a la fragmentacion del habitat. Puede observarse (Figura 1) que una serie de migrantes de largo alcance se asientan en relacion con el aumento de la superficie del rodal arbo1ado, sabre todo en macizos de 4.000 o mas hectareas. Sin embargo, las especies sedentarias (Fig. 2) tienen pauta de presencia irregular en funcion del area, forestal, con tendencia a presentarse menos en los bosques mas extensos, Dryocopus pileatus, por excepcion, reacciona negativamente al pequeno tamano de la parcela arbolado, prefiriendo bosques grandes. Parecida respuesta da tambien Sitta carolinensis. Aunque se sabe poco de las exigencias areales de las aves forestales americanas, el metodo de los IPA resulta muy adecuado para esta clase de investigacion de tanto interes en gestion ambiental, posibilitando colectar gran cantidad de datos comparables en un periodo de
Measuring complexity with multifractals in texts. Translation effects
International Nuclear Information System (INIS)
Ausloos, M.
2012-01-01
Highlights: ► Two texts in English and one in Esperanto are transformed into 6 time series. ► D(q) and f(alpha) of such (and shuffled) time series are obtained. ► A model for text construction is presented based on a parametrized Cantor set. ► The model parameters can also be used when examining machine translated texts. ► Suggested extensions to higher dimensions: in 2D image analysis and on hypertexts. - Abstract: Should quality be almost a synonymous of complexity? To measure quality appears to be audacious, even very subjective. It is hereby proposed to use a multifractal approach in order to quantify quality, thus through complexity measures. A one-dimensional system is examined. It is known that (all) written texts can be one-dimensional nonlinear maps. Thus, several written texts by the same author are considered, together with their translation, into an unusual language, Esperanto, and asa baseline their corresponding shuffled versions. Different one-dimensional time series can be used: e.g. (i) one based on word lengths, (ii) the other based on word frequencies; both are used for studying, comparing and discussing the map structure. It is shown that a variety in style can be measured through the D(q) and f(α) curves characterizing multifractal objects. This allows to observe on the one hand whether natural and artificial languages significantly influence the writing and the translation, and whether one author’s texts differ technically from each other. In fact, the f(α) curves of the original texts are similar to each other, but the translated text shows marked differences. However in each case, the f(α) curves are far from being parabolic, – in contrast to the shuffled texts. Moreover, the Esperanto text has more extreme values. Criteria are thereby suggested for estimating a text quality, as if it is a time series only. A model is introduced in order to substantiate the findings: it consists in considering a text as a random Cantor set
Theoretical computer science and the natural sciences
Marchal, Bruno
2005-12-01
I present some fundamental theorems in computer science and illustrate their relevance in Biology and Physics. I do not assume prerequisites in mathematics or computer science beyond the set N of natural numbers, functions from N to N, the use of some notational conveniences to describe functions, and at some point, a minimal amount of linear algebra and logic. I start with Cantor's transcendental proof by diagonalization of the non enumerability of the collection of functions from natural numbers to the natural numbers. I explain why this proof is not entirely convincing and show how, by restricting the notion of function in terms of discrete well defined processes, we are led to the non algorithmic enumerability of the computable functions, but also-through Church's thesis-to the algorithmic enumerability of partial computable functions. Such a notion of function constitutes, with respect to our purpose, a crucial generalization of that concept. This will make easy to justify deep and astonishing (counter-intuitive) incompleteness results about computers and similar machines. The modified Cantor diagonalization will provide a theory of concrete self-reference and I illustrate it by pointing toward an elementary theory of self-reproduction-in the Amoeba's way-and cellular self-regeneration-in the flatworm Planaria's way. To make it easier, I introduce a very simple and powerful formal system known as the Schoenfinkel-Curry combinators. I will use the combinators to illustrate in a more concrete way the notion introduced above. The combinators, thanks to their low-level fine grained design, will also make it possible to make a rough but hopefully illuminating description of the main lessons gained by the careful observation of nature, and to describe some new relations, which should exist between computer science, the science of life and the science of inert matter, once some philosophical, if not theological, hypotheses are made in the cognitive sciences. In the
Fractals as objects with nontrivial structures at all scales
International Nuclear Information System (INIS)
Lacan, Francis; Tresser, Charles
2015-01-01
Toward the middle of 2001, the authors started arguing that fractals are important when discussing the operational resilience of information systems and related computer sciences issues such as artificial intelligence. But in order to argue along these lines it turned out to be indispensable to define fractals so as to let one recognize as fractals some sets that are very far from being self similar in the (usual) metric sense. This paper is devoted to define (in a loose sense at least) fractals in ways that allow for instance all the Cantor sets to be fractals and that permit to recognize fractality (the property of being fractal) in the context of the information technology issues that we had tried to comprehend. Starting from the meta-definition of a fractal as an “object with non-trivial structure at all scales” that we had used for long, we ended up taking these words seriously. Accordingly we define fractals in manners that depend both on the structures that the fractals are endowed with and the chosen sets of structure compatible maps, i.e., we approach fractals in a category-dependent manner. We expect that this new approach to fractals will contribute to the understanding of more of the fractals that appear in exact and other sciences than what can be handled presently
Directory of Open Access Journals (Sweden)
Abdoulaye Baniré Diallo
2006-01-01
Full Text Available In this article we address the problem of phylogenetic inference from nucleic acid data containing missing bases. We introduce a new effective approach, called “Probabilistic estimation of missing values” (PEMV, allowing one to estimate unknown nucleotides prior to computing the evolutionary distances between them. We show that the new method improves the accuracy of phylogenetic inference compared to the existing methods “Ignoring Missing Sites” (IMS, “Proportional Distribution of Missing and Ambiguous Bases” (PDMAB included in the PAUP software [26]. The proposed strategy for estimating missing nucleotides is based on probabilistic formulae developed in the framework of the Jukes-Cantor [10] and Kimura 2-parameter [11] models. The relative performances of the new method were assessed through simulations carried out with the SeqGen program [20], for data generation, and the BioNJ method [7], for inferring phylogenies. We also compared the new method to the DNAML program [5] and “Matrix Representation using Parsimony” (MRP [13], [19] considering an example of 66 eutherian mammals originally analyzed in [17].
Edgar G. Ulmer’s Film The Black Cat: An Eighty-Year Retrospective
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Ronald Duke Saltinski
2014-08-01
Full Text Available Director Edgar G. Ulmer’s film The Black Cat was a rare achievement in American horror cinema when released in 1934. Some eighty years afterwards in 2014 The Black Cat warrants revisiting as one of the most unique and revered horror films ever made. The Black Cat is German expressionist in character, perverse and morbid, portraying the post World War I gothic mind of Europe. The film encompasses the rage and revenge of that war with motifs of murder, narcotics, torture, necrophilia, incest, and Satanic rituals; all of which are witnessed by a young America couple who have innocently traveled into a nightmarish tragedy. Rarely has a film like The Black Cat so captured the mood of horror blended with an intellectual narrative, unique acting, modernist settings, and classical music. Paul A. Cantor said “The Black Cat was a triumph for Ulmer; many consider it one of the most sophisticated and powerful horror stories ever made” (p. 142. Years later The Black Cat would be characterized as an “art film,” and even “read as a piece of intellectual cinema” (Schwaab, p. 46.
Spectral relationships between kicked Harper and on-resonance double kicked rotor operators
International Nuclear Information System (INIS)
Lawton, Wayne; Mouritzen, Anders S.; Wang Jiao; Gong Jiangbin
2009-01-01
Kicked Harper operators and on-resonance double kicked rotor operators model quantum systems whose semiclassical limits exhibit chaotic dynamics. Recent computational studies indicate a striking resemblance between the spectra of these operators. In this paper we apply C*-algebra methods to explain this resemblance. We show that each pair of corresponding operators belongs to a common rotation C*-algebra B α , prove that their spectra are equal if α is irrational, and prove that the Hausdorff distance between their spectra converges to zero as q increases if α=p/q with p and q coprime integers. Moreover, we show that corresponding operators in B α are homomorphic images of mother operators in the universal rotation C*-algebra A α that are unitarily equivalent and hence have identical spectra. These results extend analogous results for almost Mathieu operators. We also utilize the C*-algebraic framework to develop efficient algorithms to compute the spectra of these mother operators for rational α and present preliminary numerical results that support the conjecture that their spectra are Cantor sets if α is irrational. This conjecture for almost Mathieu operators, called the ten Martini problem, was recently proven after intensive efforts over several decades. This proof for the almost Mathieu operators utilized transfer matrix methods, which do not exist for the kicked operators. We outline a strategy, based on a special property of loop groups of semisimple Lie groups, to prove this conjecture for the kicked operators
Systematic perspectives on diverging mathematical orientations
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D.F.M. Strauss
2005-07-01
Full Text Available The popular view that mathematics is “objective” and “neutral” in the sense that it does not know different standpoints is contradicted by the factual state of modern mathematics. In the light of the dominant one-sided trends in the history of mathe-matics, fluctuating between arithmeticism and a geometrisation of this discipline, this article explores some provisional starting-points for a different view. This third option is explored by investigating some features of an acknowledgement of the uniqueness of number and space without neglecting the inter-aspectual connections between these two modal functions. An argument is advanced regarding the inevitability of employing analogical (or elementary basic concepts, and this perspective is articulated in terms of the theory of modal aspects. Numerical and spatial terms are discussed and eventually focused on a deepened understanding of the meaning of infinity. In addition to a brief look at the circularity present in the arithmeticist claim that mathematics could be fully arithmetised (Grünbaum, attention is also asked for the agreement between Aristotle and Cantor regarding the nature of continuity – assessed in terms of the irreducibility of the numerical and spatial aspects of reality. Finally a characterisation is given of the ontological assumpt-ions of intuitionism and axiomatic formalism.
Li, Liang; Guo, Yan-Ning; Li, Jian; Zhang, Lu-Ping
2014-12-01
Ophidascaris wangi sp. n. collected from the king rat snake Elaphe carinata (Günther) (Serpentes: Colubridae) in China is described using both light and scanning electron microscopy. The new species differs from its congeners in the presence of narrow lateral alae originating a short distance posterior to the base of the ventrolateral lips, its relatively long oesophagus (3.57-4.54 mm long, representing 6.6-7.6% of body length), its short spicules (1.89-2.14 mm long, representing 3.9-4.3% of body length), the number and arrangement of caudal papillae (49-57 pairs in total, arranged as follows: 43-51 pairs precloacal, 2 pairs joined paracloacal and 4 pairs postcloacal), the presence of a particular papilliform medioventral, postcloacal ornamentation and the morphology of the eggs and tip of the female tail. In addition, Ophidascaris najae (Gedoelst, 1916), collected from the king cobra Ophiophagus hannah Cantor (Serpentes: Elapidae) in China, is also redescribed. The morphology of the cervical papillae, labial denticles and phasmids of the female is described for the first time.
Clean air, clear market. Making emissions trading work: The role of a computer-assisted auction
International Nuclear Information System (INIS)
Bartels, C.W.; Marron, D.B.; Lipsky, M.I.
1993-01-01
Creating a new commodity presents the chance to develop new markets in which to trade it. In many cases, existing markets can be adapted easily; in other cases it proves worthwhile to develop new forms that reflect special characteristics of the commodity and those who trade it. In the case of the sulfur dioxide (SO 2 ) emission allowances created by the Clean Air Act Amendments of 1990, a number of standard market forms already have been adopted. While these will prove useful for handling some transactions, a new Market Clearing Auction (MCA) offers buyers and sellers a centralized marketplace for trading SO 2 emission allowances. The MCA, which was developed by the brokerage firm Cantor Fitzgerald, is a computer-assisted open-quotes smartclose quotes auction designed to replicate the outcome of an efficient market in emission allowances, and accepts bids and offers for any possible combination of allowances. Orders can be submitted for streams of allowances. Orders can be submitted for streams of allowances covering more than one year. The auction then determines the combination of bids and offers that maximizes the gains from trades in the market, and establishes uniform market clearing prices for each allowance issue (1995, 1996, and so on). Once executed, trades are settled on a cash-forward basis; that is, allowances are delivered and payments are made at future dates
Characterization of modulated integrate-and-fire systems
International Nuclear Information System (INIS)
Alstroem, P.; Christiansen, B.; Levinsen, M.T.
1988-01-01
The phase locking structure in threshold modulated integrate-and-fire systems is explored. The existence of a smooth critical line where the Poincare map has an infinite slope inflection point is emphasized. At and below this line the system is related to circle map systems. Especially, this allows realization of systems with higher order scaling structures, qualitatively distinct from ordinary third order circle map structures. Hourglass patterns develop in parameter space and at small modulation amplitudes the behavior of the phase-locking regions (Arnold tongues) change dramatically. Above the critical line the Arnold tongues complete the parameter space, leaving along any line a zero-dimensional Cantor set of points associated with irrational rotation numbers. The critical line is not associated with a transition to chaos. In particular non-chaotic regions with complete phase-locking exist. In the supercritical region a gap is present in the Poincare map. The features at this gap are examined. Also local hysteresis may occur. We discuss the applicability of the local approximation. (orig.)
Directory of Open Access Journals (Sweden)
Robert eCoben
2014-02-01
Full Text Available Neuroimaging technologies and research has shown that autism is largely a disorder of neuronal connectivity. While advanced work is being done with fMRI, MRI-DTI, SPECT and other forms of structural and functional connectivity analyses, the use of EEG for these purposes is of additional great utility. Cantor et al. (1986 were the first to examine the utility of pairwise coherence measures for depicting connectivity impairments in autism. Since that time research has shown a combination of mixed over and under-connectivity that is at the heart of the primary symptoms of this multifaceted disorder. Nevertheless, there is reason to believe that these simplistic pairwise measurements under represent the true and quite complicated picture of connectivity anomalies in these persons. We have presented three different forms of multivariate connectivity analysiswith increasing levels of sophistication (including one based on principle componentsanalysis, sLORETA source coherence, and Granger causality to present a hypothesis that more advanced statistical approaches to EEG coherence analysis may provide more detailed and accurate information than pairwise measurements. A single case study is examined with findings from MR-DTI, pairwise and coherence and these three forms of multivariate coherence analysis. In this case pairwise coherences did not resemble structural connectivity, whereas multivariate measures did. The possible advantages and disadvantages of different techniques are discussed. Future work in this area will be important to determine the validity and utility of these techniques.
Spectral monodromy of non-self-adjoint operators
International Nuclear Information System (INIS)
Phan, Quang Sang
2014-01-01
In the present paper, we build a combinatorial invariant, called the “spectral monodromy” from the spectrum of a single (non-self-adjoint) h-pseudodifferential operator with two degrees of freedom in the semi-classical limit. Our inspiration comes from the quantum monodromy defined for the joint spectrum of an integrable system of n commuting self-adjoint h-pseudodifferential operators, given by S. Vu Ngoc [“Quantum monodromy in integrable systems,” Commun. Math. Phys. 203(2), 465–479 (1999)]. The first simple case that we treat in this work is a normal operator. In this case, the discrete spectrum can be identified with the joint spectrum of an integrable quantum system. The second more complex case we propose is a small perturbation of a self-adjoint operator with a classical integrability property. We show that the discrete spectrum (in a small band around the real axis) also has a combinatorial monodromy. The main difficulty in this case is that we do not know the description of the spectrum everywhere, but only in a Cantor type set. In addition, we also show that the corresponding monodromy can be identified with the classical monodromy, defined by J. Duistermaat [“On global action-angle coordinates,” Commun. Pure Appl. Math. 33(6), 687–706 (1980)
Spatially independent martingales, intersections, and applications
Shmerkin, Pablo
2018-01-01
The authors define a class of random measures, spatially independent martingales, which we view as a natural generalization of the canonical random discrete set, and which includes as special cases many variants of fractal percolation and Poissonian cut-outs. The authors pair the random measures with deterministic families of parametrized measures \\{\\eta_t\\}_t, and show that under some natural checkable conditions, a.s. the mass of the intersections is H�lder continuous as a function of t. This continuity phenomenon turns out to underpin a large amount of geometric information about these measures, allowing us to unify and substantially generalize a large number of existing results on the geometry of random Cantor sets and measures, as well as obtaining many new ones. Among other things, for large classes of random fractals they establish (a) very strong versions of the Marstrand-Mattila projection and slicing results, as well as dimension conservation, (b) slicing results with respect to algebraic curves a...
International Nuclear Information System (INIS)
Haase, Christian; Tang, Florian; Wilms, Markus B.; Weisheit, Andreas; Hallstedt, Bengt
2017-01-01
High-entropy alloys have gained high interest of both academia and industry in recent years due to their excellent properties and large variety of possible alloy systems. However, so far prediction of phase constitution and stability is based on empirical rules that can only be applied to selected alloy systems. In the current study, we introduce a methodology that enables high-throughput theoretical and experimental alloy screening and design. As a basis for thorough thermodynamic calculations, a new database was compiled for the Co–Cr–Fe–Mn–Ni system and used for Calphad and Scheil simulations. For bulk sample production, laser metal deposition (LMD) of an elemental powder blend was applied to build up the equiatomic CoCrFeMnNi Cantor alloy as a first demonstrator. This production approach allows high flexibility in varying the chemical composition and, thus, renders itself suitable for high-throughput alloy production. The microstructure, texture, and mechanical properties of the material processed were characterized using optical microscopy, EBSD, EDX, XRD, hardness and compression testing. The LMD-produced alloy revealed full density, strongly reduced segregation compared to conventionally cast material, pronounced texture, and excellent mechanical properties. Phase constitution and elemental distribution were correctly predicted by simulations. The applicability of the introduced methodology to high-entropy alloys and extension to compositionally complex alloys is discussed.
Processos midiáticos musicais, mercado e alternativas
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Valério Cruz Brittos
2008-09-01
Full Text Available O artigo discute a midiatização da produção musical no canal de televisão MTV Brasil, enquanto apresenta a cena alternativa e a pirataria. Esses movimentos relacionam-se com a inovação tecnológica, que funciona como reforço do espaço hegemônico. São debatidas as relações das companhias de TV com outras organizações culturais. Identificam-se os processos midiáticos conformados por projetos de marketing, sendo prioritariamente publicizados tópicos musicais de cantores e grupos com forte base de sustentação econômica. Palavras-chave: Economia política da comunicação; processos midiáticos; políticas de comunicação. ABSTRACT This paper argues about the musical production media processes in the MTV Brazil channel, the alternative scene and piracy. These movements become related with the technological innovation that works as reinforcement of the hegemonic space. The relations between TV companies and other cultural organizations are discussed. The article identifies media processes conformed by marketing projects, in which musical topics of singers and groups with strong economic support are more readily publicized. Keywords: Political economy of communication; media processes; communication policies.
Drawing melodies: evaluation of chironomic singing synthesis.
d'Alessandro, Christophe; Feugère, Lionel; Le Beux, Sylvain; Perrotin, Olivier; Rilliard, Albert
2014-06-01
Cantor Digitalis, a real-time formant synthesizer controlled by a graphic tablet and a stylus, is used for assessment of melodic precision and accuracy in singing synthesis. Melodic accuracy and precision are measured in three experiments for groups of 20 and 28 subjects. The task of the subjects is to sing musical intervals and short melodies, at various tempi, using chironomy (hand-controlled singing), mute chironomy (without audio feedback), and their own voices. The results show the high accuracy and precision obtained by all the subjects for chironomic control of singing synthesis. Some subjects performed significantly better in chironomic singing compared to natural singing, although other subjects showed comparable proficiency. For the chironomic condition, mean note accuracy is less than 12 cents and mean interval accuracy is less than 25 cents for all the subjects. Comparing chironomy and mute chironomy shows that the skills used for writing and drawing are used for chironomic singing, but that the audio feedback helps in interval accuracy. Analysis of blind chironomy (without visual reference) indicates that a visual feedback helps greatly in both note and interval accuracy and precision. This study demonstrates the capabilities of chironomy as a precise and accurate mean for controlling singing synthesis.
A Fuzzy Computing Model for Identifying Polarity of Chinese Sentiment Words.
Wang, Bingkun; Huang, Yongfeng; Wu, Xian; Li, Xing
2015-01-01
With the spurt of online user-generated contents on web, sentiment analysis has become a very active research issue in data mining and natural language processing. As the most important indicator of sentiment, sentiment words which convey positive and negative polarity are quite instrumental for sentiment analysis. However, most of the existing methods for identifying polarity of sentiment words only consider the positive and negative polarity by the Cantor set, and no attention is paid to the fuzziness of the polarity intensity of sentiment words. In order to improve the performance, we propose a fuzzy computing model to identify the polarity of Chinese sentiment words in this paper. There are three major contributions in this paper. Firstly, we propose a method to compute polarity intensity of sentiment morphemes and sentiment words. Secondly, we construct a fuzzy sentiment classifier and propose two different methods to compute the parameter of the fuzzy classifier. Thirdly, we conduct extensive experiments on four sentiment words datasets and three review datasets, and the experimental results indicate that our model performs better than the state-of-the-art methods.
Complexity Analysis of Reed-Solomon Decoding over GF(2m without Using Syndromes
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Zhiyuan Yan
2008-06-01
Full Text Available There has been renewed interest in decoding Reed-Solomon (RS codes without using syndromes recently. In this paper, we investigate the complexity of syndromeless decoding, and compare it to that of syndrome-based decoding. Aiming to provide guidelines to practical applications, our complexity analysis focuses on RS codes over characteristic-2 fields, for which some multiplicative FFT techniques are not applicable. Due to moderate block lengths of RS codes in practice, our analysis is complete, without big O notation. In addition to fast implementation using additive FFT techniques, we also consider direct implementation, which is still relevant for RS codes with moderate lengths. For high-rate RS codes, when compared to syndrome-based decoding algorithms, not only syndromeless decoding algorithms require more field operations regardless of implementation, but also decoder architectures based on their direct implementations have higher hardware costs and lower throughput. We also derive tighter bounds on the complexities of fast polynomial multiplications based on Cantor's approach and the fast extended Euclidean algorithm.
Mode-locking and the transition to chaos in dissipative systems
International Nuclear Information System (INIS)
Bak, P.; Bohr, T.; Jensen, M.H.
1984-01-01
Dissipative systems with two competing frequencies exhibit transitions to chaos. We have investigated the transition through a study of discrete maps of the circle onto itself, and by constructing and analyzing return maps of differential equations representing some physical systems. The transition is caused by interaction and overlap of mode-locked resonances and takes place at a critical line where the map losses invertibility. At this line the mode-locked intervals trace up a complete Devil's Staircase whose complementary set is a Cantor set with universal fractal dimension D approx. 0.87. Below criticality there is room for quasiperiodic orbits, whose measure is given by an exponent β approx. 0.34 which can be related to D through a scaling relation, just as for second order phase transitions. The Lebesgue measure serves as an order parameter for the transition to chaos. The resistively shunted Josephson junction, and charge density waves (CDWs) in rf electric fields are usually described by the differential equation of the damped driven pendulum. The 2d return map for this equation collapses to ld circle map at and below the transition to chaos. The theoretical results on universal behavior, derived here and elsewhere, can thus readily be checked experimentally by studying real physical systems. Recent experiments on Josephson junctions and CDWs indicating the predicted fractal scaling of mode-locking at criticality are reviewed
Murder on the Einstein express and other stories
Šiljak, Harun
2016-01-01
This collection of stories touches upon many genres: Normed Trek is a clever and witty Alice-in-Wonderland-type narrative set in the realm of mathematical analysis, The Cantor Trilogy is a dystopia about the consequences of relying upon computer-based mathematical proofs, In Search of Future Time bears the flavor of Tales from Arabian Nights set in the future, and – last but not least - Murder on the Einstein Express is a short, non-technical primer on probabilities and modern classical physics, disguised as a detective story. Written primarily for an audience with some background or a strong interest in mathematics, physics and computer science (in particular artificial intelligence), these stories explore the boundaries between science and fiction in a refreshingly unconventional fashion. In the Afterthoughts the author provides some further insights and annotations. Harun Šiljak got his BoEE and MoEE degrees at the Department of Control and Electronics, University of Sarajevo and his PhD in Signal Proce...
Advertising of slave trade in the Romanian principalities
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Marian Petcu
2014-12-01
Full Text Available This study deals with the thorny issue of the history of our country – the Gypsy slave trade, as it was presented in the press (1837-1844. We have identified a number of advertisements that reflect the type of trade, its form, prices for slaves, and institutions involved in such transactions. All this information is presented in a variety of contexts: the writings of foreign travelers, responses of public authorities, official documents. Studied documents leave no doubt as to the intention of the authorities to assimilate the Gypsies. There is also highlighted the role of the press as an intermediary in the Gypsy slave trade. Since we are talking about semi-official publications (Cantor de Avis şi Comerţ, Vestitorul Românesc, Albina Românească, it should be understood that these transactions were carried out with the consent of the heads of the relevant state entities. The study also highlights the stages of freeing the slaves.
A Fuzzy Computing Model for Identifying Polarity of Chinese Sentiment Words
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Bingkun Wang
2015-01-01
Full Text Available With the spurt of online user-generated contents on web, sentiment analysis has become a very active research issue in data mining and natural language processing. As the most important indicator of sentiment, sentiment words which convey positive and negative polarity are quite instrumental for sentiment analysis. However, most of the existing methods for identifying polarity of sentiment words only consider the positive and negative polarity by the Cantor set, and no attention is paid to the fuzziness of the polarity intensity of sentiment words. In order to improve the performance, we propose a fuzzy computing model to identify the polarity of Chinese sentiment words in this paper. There are three major contributions in this paper. Firstly, we propose a method to compute polarity intensity of sentiment morphemes and sentiment words. Secondly, we construct a fuzzy sentiment classifier and propose two different methods to compute the parameter of the fuzzy classifier. Thirdly, we conduct extensive experiments on four sentiment words datasets and three review datasets, and the experimental results indicate that our model performs better than the state-of-the-art methods.
Phylogenetic mixtures and linear invariants for equal input models.
Casanellas, Marta; Steel, Mike
2017-04-01
The reconstruction of phylogenetic trees from molecular sequence data relies on modelling site substitutions by a Markov process, or a mixture of such processes. In general, allowing mixed processes can result in different tree topologies becoming indistinguishable from the data, even for infinitely long sequences. However, when the underlying Markov process supports linear phylogenetic invariants, then provided these are sufficiently informative, the identifiability of the tree topology can be restored. In this paper, we investigate a class of processes that support linear invariants once the stationary distribution is fixed, the 'equal input model'. This model generalizes the 'Felsenstein 1981' model (and thereby the Jukes-Cantor model) from four states to an arbitrary number of states (finite or infinite), and it can also be described by a 'random cluster' process. We describe the structure and dimension of the vector spaces of phylogenetic mixtures and of linear invariants for any fixed phylogenetic tree (and for all trees-the so called 'model invariants'), on any number n of leaves. We also provide a precise description of the space of mixtures and linear invariants for the special case of [Formula: see text] leaves. By combining techniques from discrete random processes and (multi-) linear algebra, our results build on a classic result that was first established by James Lake (Mol Biol Evol 4:167-191, 1987).
Wave-particle duality through an extended model of the scale relativity theory
International Nuclear Information System (INIS)
Ioannou, P D; Nica, P; Agop, M; Paun, V; Vizureanu, P
2008-01-01
Considering that the chaotic effect of associated wave packet on the particle itself results in movements on the fractal (continuous and non-differentiable) curves of fractal dimension D F , wave-particle duality through an extension of the scale relativity theory is given. It results through an equation of motion for the complex speed field, that in a fractal fluid, the convection, dissipation and dispersion are reciprocally compensating at any scale (differentiable or non-differentiable). From here, for an irrotational movement, a generalized Schroedinger equation is obtained. The absence of dispersion implies a generalized Navier-Stokes type equation, whereas, for the irrotational movement and the fractal dimension, D F = 2, the usual Schroedinger equation results. The absence of dissipation implies a generalized Korteweg-de Vries type equation. In such conjecture, at the differentiable scale, the duality is achieved through the flowing regimes of the fractal fluid, i.e. the wave character by means of the non-quasi-autonomous flowing regime and the particle character by means of the quasi-autonomous flowing regime. These flowing regimes are separated by '0.7 structure'. At the non-differentiable scale, a fractal potential acts as an energy accumulator and controls through the coherence the duality. The correspondence between the differentiable and non-differentiable scales implies a Cantor space-time. Moreover, the wave-particle duality implies at any scale a fractal.
On calculating the probability of a set of orthologous sequences
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Junfeng Liu
2009-02-01
Full Text Available Junfeng Liu1,2, Liang Chen3, Hongyu Zhao4, Dirk F Moore1,2, Yong Lin1,2, Weichung Joe Shih1,21Biometrics Division, The Cancer, Institute of New Jersey, New Brunswick, NJ, USA; 2Department of Biostatistics, School of Public Health, University of Medicine and Dentistry of New Jersey, Piscataway, NJ, USA; 3Department of Biological Sciences, University of Southern California, Los Angeles, CA, USA; 4Department of Epidemiology and Public Health, Yale University School of Medicine, New Haven, CT, USAAbstract: Probabilistic DNA sequence models have been intensively applied to genome research. Within the evolutionary biology framework, this article investigates the feasibility for rigorously estimating the probability of a set of orthologous DNA sequences which evolve from a common progenitor. We propose Monte Carlo integration algorithms to sample the unknown ancestral and/or root sequences a posteriori conditional on a reference sequence and apply pairwise Needleman–Wunsch alignment between the sampled and nonreference species sequences to estimate the probability. We test our algorithms on both simulated and real sequences and compare calculated probabilities from Monte Carlo integration to those induced by single multiple alignment.Keywords: evolution, Jukes–Cantor model, Monte Carlo integration, Needleman–Wunsch alignment, orthologous
Complexity Analysis of Reed-Solomon Decoding over GF without Using Syndromes
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Chen Ning
2008-01-01
Full Text Available Abstract There has been renewed interest in decoding Reed-Solomon (RS codes without using syndromes recently. In this paper, we investigate the complexity of syndromeless decoding, and compare it to that of syndrome-based decoding. Aiming to provide guidelines to practical applications, our complexity analysis focuses on RS codes over characteristic-2 fields, for which some multiplicative FFT techniques are not applicable. Due to moderate block lengths of RS codes in practice, our analysis is complete, without big notation. In addition to fast implementation using additive FFT techniques, we also consider direct implementation, which is still relevant for RS codes with moderate lengths. For high-rate RS codes, when compared to syndrome-based decoding algorithms, not only syndromeless decoding algorithms require more field operations regardless of implementation, but also decoder architectures based on their direct implementations have higher hardware costs and lower throughput. We also derive tighter bounds on the complexities of fast polynomial multiplications based on Cantor's approach and the fast extended Euclidean algorithm.
Accounting for primitive terms in mathematics
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D.F.M. Strauss
2005-07-01
Full Text Available The philosophical problem of unity and diversity entails a challenge to the rationalist aim to define everything. Definitions of this kind surface in various academic disciplines in formulations like uniqueness, irreducibility, and what has acquired the designation “primitive terms”. Not even the most “exact” disciplines, such as mathematics, can avoid the implications entailed in giving an account of such primitive terms. A mere look at the historical development of mathematics highlights the fact that alternative perspectives prevailed – from the arithmeticism of Pythagoreanism, the eventual geometrisation of mathematics after the discovery of incommensurability up to the revival of arithmeticism in the mathematics of Cauchy, Weierstrass, Dedekind and Cantor (with the later orientation of Frege, who completed the circle by returning to the view that mathematics essentially is geometry. An assessment of logicism and axiomatic formalism is followed by looking at the primitive meaning of wholeness (and the whole-parts relation. With reference to the views of Hilbert, Weyl and Bernays the article concludes by suggesting that in opposition to arithmeticism and geometricism an alternative option ought to be pursued – one in which both the uniqueness and mutual coherence between the aspects of number and space are acknowledged.
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LUCAS MARCELO TOMAZ DE SOUZA
2013-08-01
Full Text Available Resumo: Este trabalho possui dois objetivos distintos, porém complementares. O primeiro visa pensar a estruturação do mercado fonográfico brasileiro durante a década de 1970, focando a inserção do cantor e compositor Raul Seixas no mesmo. O segundo objetivo é o de analisar o LP Krig-ha Bandolo! de Raul Seixas, lançado em 1973, pela Philips, como forma de compreendermos as possíveis relações existentes entre a sua produção musical e as demandas comercias e simbólicas que sobre ele recaiam.Palavras-chave: Raul Seixas – Música Popular – Rock e Indústria Cultural na Década de 1970. Abstract: This paper has two distinct goals, however they complement each other. The first one aims to think the structural organization of the Brazilian phonographic market during the 70s, focusing on the participation of the singer and songwriter Raul Seixas. The second goal is the analysis of Raul Seixas’ LP Krig-ha Bandolo!, released in 1973 by Philips, as a way of understanding the possible existing relations between him and his musical production and the commercial and symbolic demands that he had to deal with.Keywords: Raul Seixas – Popular Music – Rock and 1970's cultural industry.
Sou do mundo, sou Minas Gerais: o ser da experiência em "Para Lennon e McCartney"
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Rafael Senra Coelho
2018-04-01
Full Text Available RESUMO: A canção “Para Lennon e McCartney” imagina um diálogo entre músicos latino americanos e anglo-saxões. Os dois cantores citados no título tornam-se uma metonímia de toda a indústria musical do eixo Europa/EUA. Nessa composição, a condição simultânea rural e urbana que compõe o espaço da periferia permite que o sujeito da experiência persista na modernidade. A voz do narrador experiente confronta todo o projeto de identidade supostamente coerente da metrópole, baseado no acúmulo de informação. PALAVRAS-CHAVE: Identidade, Globalização, Experiência, Música Popular. ___________________________________ ABSTRACT: The song "Para Lennon e McCartney" imagines a dialogue between Latin American and Anglo-Saxon musicians. The two singers mentioned in the title symbolize the entire music industry from Europe and United States. In this composition, the simultaneous rural and urban condition of poor countries allows the permanence of the experienced person in modernity. The voice of the experienced narrator confronts the coherent identity project from people in North metropolis, based in accumulation of information. KEYWORDS: Identity, Globalization, Experience, Popular Music.
Telling Lives in Science: Essays on Scientific Biography
International Nuclear Information System (INIS)
Harman, Peter
1997-01-01
This collection of ten essays by historians of science, several of them biographers, is concerned with the role of scientific biography in forming conceptions of science and scientists. The essays include studies of the biographies of individual scientists, assessments of the aims and style of scientific portraits in different historical contexts, examinations of changing biographical interpretations of scientists, and much discussion of the methodological issues involved in the writing of scientific biographies. Many historians consider biography to be an ambiguous genre, its appeal based on nostalgia rather than history, with a focus on personality rather than historical context, but the biographer can reply that scientific biography reveals the practice of science at its most fundamental level. Indeed, scientific biography has provided a powerful medium in which public conceptions of science have been established. Einstein observed that 'the essential being of a man of my type lies in what he thinks and how he thinks', and his Autobiographical Notes suppress personality in favour of physics. But the biographer may see matters differently, and wish to integrate the public and the private life of the scientist. In their substantial introduction the editors discuss these and other problems, and the book is directed to the professional concerns of historians of science. While there is little here on the history of physics, Geoffrey Cantor's essay on public images of Faraday as constructed in popular biographies, a discussion of conflicting portraits of Faraday as romantic genius or hard-working slogger, may interest readers of this journal. (book review)
Intuition et déduction en mathématiques
Leclercq, Bruno
2015-01-01
À la fin du XVIIIe siècle, Emmanuel Kant pouvait encore voir dans les mathématiques le modèle même des jugements synthétiques a priori, c'est-à-dire dotés d'un contenu intuitif propre quoique non dérivé de l'expérience sensible. Des géométries non-euclidiennes à la théorie des transfinis de Cantor, les mathématiques du XIXe siècle vont cependant faire triompher des systèmes mathématiques résolument déductifs et non plus intuitifs. Sur fond d'interrogations quant à la légitimité de ces développements récents, interrogations renforcées par la découverte de paradoxes, d'âpres débats vont alors o
Traumatic brain injury: future assessment tools and treatment prospects
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Steven R Flanagan
2008-10-01
Full Text Available Steven R Flanagan1, Joshua B Cantor2, Teresa A Ashman21New York University School of Medicine, The Rusk Institute of Rehabilitation, New York, NY, USA; 2Department of Rehabilitation Medicine, Mount Sinai School of Medicine, New York, NY, USAAbstract: Traumatic brain injury (TBI is widespread and leads to death and disability in millions of individuals around the world each year. Overall incidence and prevalence of TBI are likely to increase in absolute terms in the future. Tackling the problem of treating TBI successfully will require improvements in the understanding of normal cerebral anatomy, physiology, and function throughout the lifespan, as well as the pathological and recuperative responses that result from trauma. New treatment approaches and combinations will need to be targeted to the heterogeneous needs of TBI populations. This article explores and evaluates the research evidence in areas that will likely lead to a reduction in TBI-related morbidity and improved outcomes. These include emerging assessment instruments and techniques in areas of structural/chemical and functional neuroimaging and neuropsychology, advances in the realms of cell-based therapies and genetics, promising cognitive rehabilitation techniques including cognitive remediation and the use of electronic technologies including assistive devices and virtual reality, and the emerging field of complementary and alternative medicine.Keywords: traumatic brain injury, assessments, treatments
Fractal Geometry in the Arts: AN Overview across the Different Cultures
Sala, Nicoletta
Fractal, in mathematics, is a geometric shape that is complex and detailed in structure at any level of magnification. The word "fractal" was coined less than thirty years ago by one of history's most creative and mathematicians, Benoit Mandelbrot, whose work, The Fractal Geometry of Nature, first introduced and explained concepts underlying this new vision of the geometry. Although other mathematical thinkers like Georg Cantor (1845-1918), Felix Hausdorff (1868-1942), Gaston Julia (1893-1978), Helge von Koch (1870-1924), Giuseppe Peano (1858-1932), Lewis Richardson (1891-1953), Waclaw Sierpinski (1882-1969) and others had attained isolated insights of fractal understanding, such ideas were largely ignored until Mandelbrot's genius forged them at a single blow into a gorgeously coherent and fascinating discipline. Fractal geometry is applied in different field now: engineering, physics, chemistry, biology, and architecture. The aim of this paper is to introduce an approach where the arts are analysed using a fractal point of view.
Quasicrystals and Quantum Computing
Berezin, Alexander A.
1997-03-01
In Quantum (Q) Computing qubits form Q-superpositions for macroscopic times. One scheme for ultra-fast (Q) computing can be based on quasicrystals. Ultrafast processing in Q-coherent structures (and the very existence of durable Q-superpositions) may be 'consequence' of presence of entire manifold of integer arithmetic (A0, aleph-naught of Georg Cantor) at any 4-point of space-time, furthermore, at any point of any multidimensional phase space of (any) N-particle Q-system. The latter, apart from quasicrystals, can include dispersed and/or diluted systems (Berezin, 1994). In such systems such alleged centrepieces of Q-Computing as ability for fast factorization of long integers can be processed by sheer virtue of the fact that entire infinite pattern of prime numbers is instantaneously available as 'free lunch' at any instant/point. Infinitely rich pattern of A0 (including pattern of primes and almost primes) acts as 'independent' physical effect which directly generates Q-dynamics (and physical world) 'out of nothing'. Thus Q-nonlocality can be ultimately based on instantaneous interconnectedness through ever- the-same structure of A0 ('Platonic field' of integers).
Quantum Computing in Fock Space Systems
Berezin, Alexander A.
1997-04-01
Fock space system (FSS) has unfixed number (N) of particles and/or degrees of freedom. In quantum computing (QC) main requirement is sustainability of coherent Q-superpositions. This normally favoured by low noise environment. High excitation/high temperature (T) limit is hence discarded as unfeasible for QC. Conversely, if N is itself a quantized variable, the dimensionality of Hilbert basis for qubits may increase faster (say, N-exponentially) than thermal noise (likely, in powers of N and T). Hence coherency may win over T-randomization. For this type of QC speed (S) of factorization of long integers (with D digits) may increase with D (for 'ordinary' QC speed polynomially decreases with D). This (apparent) paradox rests on non-monotonic bijectivity (cf. Georg Cantor's diagonal counting of rational numbers). This brings entire aleph-null structurality ("Babylonian Library" of infinite informational content of integer field) to superposition determining state of quantum analogue of Turing machine head. Structure of integer infinititude (e.g. distribution of primes) results in direct "Platonic pressure" resembling semi-virtual Casimir efect (presure of cut-off vibrational modes). This "effect", the embodiment of Pythagorean "Number is everything", renders Godelian barrier arbitrary thin and hence FSS-based QC can in principle be unlimitedly efficient (e.g. D/S may tend to zero when D tends to infinity).
Mathématiques en liberté liberté, réalité, responsabilité
Cartier, Pierre; Heinzmann, Gerhard; Villani, Cédric
2012-01-01
Les mathématiques sont bien plus qu'une science, tant elles ont acquis un statut central et tout à fait particulier. Elles sont à la fois un langage permettant d articuler la réalité et un outil qui façonne le réel, et jouent à ce titre un rôle clé dans le développement des sciences de la nature, des sciences humaines et sociales, et de l'industrie. Leur position centrale dans les mécanismes de sélection et de reproduction qui caractérisent l'enseignement en France en fait par ailleurs un enjeu social majeur. L'essence des mathématiques, c'est la liberté, disait Georg Cantor. Quelles sont les nouvelles frontières, les nouveaux défis de cette science qui ne s'impose aucune limite ? Comment cette science de l'abstraction s'inscrit-elle au coeur de la réalité, au point d'être incontournable ? Quel rôle, quelle place, quelle responsabilité s'assignent les mathématiciens ? Deux mathématiciens, Pierre Cartier qui fut l'un des piliers du fameux groupe Bourbaki et Cédric Villani, un des repr...
[Once again about "Gregg paradox" and its solution].
Mavrodiev, E V
2002-01-01
"Gregg paradox" means that monotypical groups containing the same species (or groups of species) will be equal each other although systematics considers them as different taxa. Thus if the order of placental mammalia Tubilidentata includes one species aardvark Orycteropus after, the order itself, its single family Orycteropodiaceae, single genus of the family Orycteropus and the single species Orycteropus after can be considered as equal to each other. To solve this disagreement the author asserts that taxa of any level can be regarded as an individual according to the taxa of higher rank. Possibility of such interpretation was already suggested by Georg Cantor (1985). He supposed that a set (class) can be regarded as unity by itself. In this case connections between taxa of different levels can be realized by Peano ratio of intrasitive conformities. In this model a genus will consist of species but not individuals, a type--of classes, etc. Thus, if a taxon x as an individual is an element of taxon y, and taxon y as an individual is an element of taxon z, then z according to x will be not only logical class, but class of classes and, hence we could not consider x as an element of z, because the latter consists of indecomposable individual-class y or some similar classes. In this situation "Gregg paradox" does not arise.
As inovações de Tom Zé na linguagem da canção popular dos anos 1970
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Herom Vargas
2012-12-01
Full Text Available O objetivo deste artigo é discutir alguns aspectos da experimentação do compositor brasileiro Tom Zé em três de seus cinco discos lançados nos anos 1970, dentro de um cenário de exceção institucional por conta da ditadura militar e de expansão das indústrias culturais. Do cantor, serão tratadas canções dos discos: Se o caso é chorar (Continental - 1972, Todos os olhos (Continental - 1973 e Estudando o samba (Continental - 1975. A noção básica de experimentação utilizada é de Umberto Eco (1970. Outro conceito para a discussão do experimentalismo é o de “canção crítica”, desenvolvido por S.C. Naves (2010. Como horizonte teórico, a canção popular será tratada como “texto semiótico”, conforme a semiótica da cultura de I.M. Lótman (1996. Os aspectos de inovação serão analisados internamente à própria linguagem híbrida da canção (letra, canto, música e performance e nas relações externas entre canção e contexto cultural.
The breakdown of KAM trajectories
International Nuclear Information System (INIS)
Bensimon, D.; Kadanoff, L.P.
1987-01-01
Hamiltonian systems with two degrees of freedom, for example, two coupled oscillators, are the simplest class of conservative systems that may exhibit a nontrivial dynamics. In this introduction, the authors review the phenomenology associated with that class of systems. If the coupling between the two oscillators is nonlinear, the system is in general nonintegrable. According to the Poincare-Birkhoff theorem, only two cyclic orbits remain for every rational winding number: an elliptic orbit that nearby points tend to cycle around and a hyperbolic one that nearby points are repelled from. Some KAM curves may still exist depending on the strength of the nonlinear coupling and their proximity to a rational orbit (a destabilizing factor). However, the most important difference between the dynamics of integrable and nonintegrable systems is the existence in the latter of regions of stochasticity. Because the dynamics is reversible, stochastic regions are bounded by KAM curves. However, as the strength of the nonlinear coupling is increased, more and more KAM curves disappear, that is, become discontinuous, cantor set-like. This discuss describes how this may happen. The authors study the standard map
Physics in space-time with scale-dependent metrics
Balankin, Alexander S.
2013-10-01
We construct three-dimensional space Rγ3 with the scale-dependent metric and the corresponding Minkowski space-time Mγ,β4 with the scale-dependent fractal (DH) and spectral (DS) dimensions. The local derivatives based on scale-dependent metrics are defined and differential vector calculus in Rγ3 is developed. We state that Mγ,β4 provides a unified phenomenological framework for dimensional flow observed in quite different models of quantum gravity. Nevertheless, the main attention is focused on the special case of flat space-time M1/3,14 with the scale-dependent Cantor-dust-like distribution of admissible states, such that DH increases from DH=2 on the scale ≪ℓ0 to DH=4 in the infrared limit ≫ℓ0, where ℓ0 is the characteristic length (e.g. the Planck length, or characteristic size of multi-fractal features in heterogeneous medium), whereas DS≡4 in all scales. Possible applications of approach based on the scale-dependent metric to systems of different nature are briefly discussed.
MULTIFRACTAL STRUCTURES DETECTED BY VOYAGER 1 AT THE HELIOSPHERIC BOUNDARIES
International Nuclear Information System (INIS)
Macek, W. M.; Wawrzaszek, A.; Burlaga, L. F.
2014-01-01
To better understand the dynamics of turbulent systems, we have proposed a phenomenological model based on a generalized Cantor set with two rescaling and one weight parameters. In this Letter, using recent Voyager 1 magnetic field data, we extend our two-scale multifractal analysis further in the heliosheath beyond the heliospheric termination shock, and even now near the heliopause, when entering the interstellar medium for the first time in human history. We have identified the scaling inertial region for magnetized heliospheric plasma between the termination shock and the heliopause. We also show that the degree of multifractality decreases with the heliocentric distance and is still modulated by the phases of the solar cycle in the entire heliosphere including the heliosheath. Moreover, we observe the change of scaling toward a nonintermittent (nonmultifractal) behavior in the nearby interstellar medium, just beyond the heliopause. We argue that this loss of multifractal behavior could be a signature of the expected crossing of the heliopause by Voyager 2 in the near future. The results obtained demonstrate that our phenomenological multifractal model exhibits some properties of intermittent turbulence in the solar system plasmas, and we hope that it could shed light on universal characteristics of turbulence
Topology as fluid geometry two-dimensional spaces, volume 2
Cannon, James W
2017-01-01
This is the second of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels who are interested in geometry and topology. The second volume deals with the topology of 2-dimensional spaces. The attempts encountered in Volume 1 to understand length and area in the plane lead to examples most easily described by the methods of topology (fluid geometry): finite curves of infinite length, 1-dimensional curves of positive area, space-filling curves (Peano curves), 0-dimensional subsets of the plane through which no straight path can pass (Cantor sets), etc. Volume 2 describes such sets. All of the standard topological results about 2-dimensional spaces are then proved, such as the Fundamental Theorem of Algebra (two...
Ensemble forecasting of potential habitat for three invasive fishes
Poulos, Helen M.; Chernoff, Barry; Fuller, Pam L.; Butman, David
2012-01-01
Aquatic invasive species pose major ecological and economic threats to aquatic ecosystems worldwide via displacement, predation, or hybridization with native species and the alteration of aquatic habitats and hydrologic cycles. Modeling the habitat suitability of alien aquatic species through spatially explicit mapping is an increasingly important risk assessment tool. Habitat modeling also facilitates identification of key environmental variables influencing invasive species distributions. We compared four modeling methods to predict the potential continental United States distributions of northern snakehead Channa argus (Cantor, 1842), round goby Neogobius melanostomus (Pallas, 1814), and silver carp Hypophthalmichthys molitrix (Valenciennes, 1844) using maximum entropy (Maxent), the genetic algorithm for rule set production (GARP), DOMAIN, and support vector machines (SVM). We used inventory records from the USGS Nonindigenous Aquatic Species Database and a geographic information system of 20 climatic and environmental variables to generate individual and ensemble distribution maps for each species. The ensemble maps from our study performed as well as or better than all of the individual models except Maxent. The ensemble and Maxent models produced significantly higher accuracy individual maps than GARP, one-class SVMs, or DOMAIN. The key environmental predictor variables in the individual models were consistent with the tolerances of each species. Results from this study provide insights into which locations and environmental conditions may promote the future spread of invasive fish in the US.
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Vandevelde, R.
1983-01-01
Full Text Available Six cultivars of muskmelon (Early Dew, "68-02", "Early Chaca", "Jivaro", "Super Sprint" and "Cantor" transplanted at two differents dates were cultivated under two PE greenhouses heated by solar energy recovery and compared to a control greenhouse. The greenhouses were covered with a double shield of normal PE of 100 microns. The first greenhouse was considered as the control. The second one was equipped with a sunstock solar energy collector distribution system, consisting in a covering of 37 % of the ground surface by flat black PVC tubes, used during the day as a solar energy captor for heating the water of a basin and during the night as a radiant mulch for heating the greenhouse by emission of radiation warmth. The third greenhouse was equipped also with the same sunstock System, but connected with a supplementary outdoor collector by means of flat PE tubes corresponding to about 28 % covering of the greenhouse, and resulting in a more important energy stock, available for heating during the night. Minimum air temperature was raised by about 1, 5 and 2, 5°C respectively in the second and the third greenhouse, while the minimum soil temperature was raised with about 1 and 2°C respectively. Evolution of the maximum temperatures was more irregular and was depending also from the incident energy. Plant growth under the solar heated greenhouse was more accelerated, and resulted in an earlier fruitset, an earlier production and a higher total yield.
p-adic analysis compared with real
Katok, Svetlana
2007-01-01
The book gives an introduction to p-adic numbers from the point of view of number theory, topology, and analysis. Compared to other books on the subject, its novelty is both a particularly balanced approach to these three points of view and an emphasis on topics accessible to undergraduates. In addition, several topics from real analysis and elementary topology which are not usually covered in undergraduate courses (totally disconnected spaces and Cantor sets, points of discontinuity of maps and the Baire Category Theorem, surjectivity of isometries of compact metric spaces) are also included in the book. They will enhance the reader's understanding of real analysis and intertwine the real and p-adic contexts of the book. The book is based on an advanced undergraduate course given by the author. The choice of the topic was motivated by the internal beauty of the subject of p-adic analysis, an unusual one in the undergraduate curriculum, and abundant opportunities to compare it with its much more familiar real...
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D.F.M. Strauss
2011-09-01
Full Text Available (Nondenumerability The focus of this article is the rise of modern set theory which, according to Meschkowski, coincides with the first proof given in 1874 by Cantor of the non-denumerability of the real numbers. Later on he developed his well-known diagonal proof, which occupies a central position in this article. The argument of this article is directed towards the implicit supposition of the diagonal proof, to wit the acceptance of the actual infinite (preferably designated as the at once infinite. Without this assumption no conclusion to non-denumerability is possible. Various mathematicians and mathematical traditions of the twentieth century questioned the use of the actual infinite. A closer investigation is conducted in respect of two opponents of the actual infinite, namely Kaufmann and Wolff. The circular reasoning contained in their approach is highlighted and as alternative a non-circular understanding of the at once infinite is explained. At the same time the assumed exact nature (and neutrality of mathematics is questioned (in the spirit of „Koers‟ as a Christian academic journal. This contemplation disregards the question of what mathematics is (for example by including topology, category theory and topos theory, which would have diverted our attention to contemporary views of figures such as Tait, Penelope and Shapiro who, among others, acts as the editors of and contributors to the encompassing work „Handbook of Philosophy of Mathematics and Logic‟ (2005.
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Jorge Sagastume
2011-07-01
Full Text Available Una obra frecuentemente consultada por Jorge Luis Borges fue Matemáticas e imaginación, de E. Kasner y J. Newman, en la que se discute la teoría de los conjuntos (que es la rama de la matemática que estudia la relación entre conjuntos, propuesta por Georg Cantor (1845-1918, y mediante la cual se crea la aritmética transfinita (que va más allá de la finita y se establece un sistema epistémico para representar los diversos niveles del infinito. Así, Cantor le asigna a esas ininitudes la primera letra del alfabeto hebreo, el Aleph, seguido de un determinado número, dependiendo del nivel de infinitud (Aleph-cero, Aleph-uno, etc.. Borges, de esa manera, teje varias de sus narraciones en las que se trata el tema del ininito y del absoluto: un ejemplo de ello es la colección de relatos bajo el título El Aleph, que abre con el cuento «El inmortal» y cierra con el que le da el título a la colección. El presente ensayo tiene el propósito de estudiar «El inmortal» bajo la óptica cantoriana, para hablar de un absoluto en particular: el yo, y sugerir que no es posible establecer un vocabulario inal o una deinición deinitiva sobre el tema en cuestión. Tal imposibilidad, propone Borges, está dada en parte por la finitud lingüística, mientras que por otro lado la falibilidad de la memoria juega también un papel crucial en todo intento de deinición. Sin embargo, como buen ironista, el autor a través de «El inmortal» es capaz de proveer una redescripción del tema mediante un lenguaje transinito, sin pretender establecer un vocabulario inal sobre la materia, sino, al contrario, tratando de resolver ciertas paradojas a las vez que revela otras, promoviendo así el permanente diálogo entre las distintas disciplinas. Aunque el ensayo se enfoca en el análisis de «El inmortal», a fin de desarrollar el problema propuesto, también estudia otros relatos contenidos en El Aleph, y utiliza un acercamiento teórico que se enmarca en la
Spectral monodromy of non-self-adjoint operators
Energy Technology Data Exchange (ETDEWEB)
Phan, Quang Sang, E-mail: quang.phan@uj.edu.pl [Université de Rennes 1, Institut de Recherche Mathématique de Rennes (UMR 6625), Campus de Beaulieu, 35042 Rennes (France)
2014-01-15
In the present paper, we build a combinatorial invariant, called the “spectral monodromy” from the spectrum of a single (non-self-adjoint) h-pseudodifferential operator with two degrees of freedom in the semi-classical limit. Our inspiration comes from the quantum monodromy defined for the joint spectrum of an integrable system of n commuting self-adjoint h-pseudodifferential operators, given by S. Vu Ngoc [“Quantum monodromy in integrable systems,” Commun. Math. Phys. 203(2), 465–479 (1999)]. The first simple case that we treat in this work is a normal operator. In this case, the discrete spectrum can be identified with the joint spectrum of an integrable quantum system. The second more complex case we propose is a small perturbation of a self-adjoint operator with a classical integrability property. We show that the discrete spectrum (in a small band around the real axis) also has a combinatorial monodromy. The main difficulty in this case is that we do not know the description of the spectrum everywhere, but only in a Cantor type set. In addition, we also show that the corresponding monodromy can be identified with the classical monodromy, defined by J. Duistermaat [“On global action-angle coordinates,” Commun. Pure Appl. Math. 33(6), 687–706 (1980)].
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Tim Palmer
2015-11-01
Full Text Available Invariant Set (IS theory is a locally causal ontic theory of physics based on the Cosmological Invariant Set postulate that the universe U can be considered a deterministic dynamical system evolving precisely on a (suitably constructed fractal dynamically invariant set in U's state space. IS theory violates the Bell inequalities by violating Measurement Independence. Despite this, IS theory is not fine tuned, is not conspiratorial, does not constrain experimenter free will and does not invoke retrocausality. The reasons behind these claims are discussed in this paper. These arise from properties not found in conventional ontic models: the invariant set has zero measure in its Euclidean embedding space, has Cantor Set structure homeomorphic to the p-adic integers (p>>0 and is non-computable. In particular, it is shown that the p-adic metric encapulates the physics of the Cosmological Invariant Set postulate, and provides the technical means to demonstrate no fine tuning or conspiracy. Quantum theory can be viewed as the singular limit of IS theory when when p is set equal to infinity. Since it is based around a top-down constraint from cosmology, IS theory suggests that gravitational and quantum physics will be unified by a gravitational theory of the quantum, rather than a quantum theory of gravity. Some implications arising from such a perspective are discussed.
Spectral monodromy of non-self-adjoint operators
Phan, Quang Sang
2014-01-01
In the present paper, we build a combinatorial invariant, called the "spectral monodromy" from the spectrum of a single (non-self-adjoint) h-pseudodifferential operator with two degrees of freedom in the semi-classical limit. Our inspiration comes from the quantum monodromy defined for the joint spectrum of an integrable system of n commuting self-adjoint h-pseudodifferential operators, given by S. Vu Ngoc ["Quantum monodromy in integrable systems," Commun. Math. Phys. 203(2), 465-479 (1999)]. The first simple case that we treat in this work is a normal operator. In this case, the discrete spectrum can be identified with the joint spectrum of an integrable quantum system. The second more complex case we propose is a small perturbation of a self-adjoint operator with a classical integrability property. We show that the discrete spectrum (in a small band around the real axis) also has a combinatorial monodromy. The main difficulty in this case is that we do not know the description of the spectrum everywhere, but only in a Cantor type set. In addition, we also show that the corresponding monodromy can be identified with the classical monodromy, defined by J. Duistermaat ["On global action-angle coordinates," Commun. Pure Appl. Math. 33(6), 687-706 (1980)].
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Arif Rachman
2009-06-01
Full Text Available Background: Replacing tooth lost caused by caries, periodontal disease, trauma and neoplasm including ameloblastoma which requires mandibular resection is important. Purpose: The aim of the study to rehabilitation of post mandibular resection with combination of hollow obturator and hybrid prosthesis. Case: A patient 25 years old, male, for having prosthesis to cover defect due to post right mandibular resection. Case Management: In this presented case, mandibular plate was applied due to spreading defect with losing almost a half body of mandible (class II modification 2 according to cantor and curtis classification. The design of therapy was mandibular obturator using hybrid prosthesis (removable partial denture metal frame and fixed splint crown with precision attachment with hollow obturator. The application was based on several advantages: good aesthetic performance, retention, stability, lighter weight and equal share of vertical load for teeth on non surgical site. The result of control I, II, III, showed that aesthetic performance, masticatory function, speech and swallowing were in good condition. Conclusion: The design of mandibular obturator using hybrid denture with hollow obturator could rehabilitate aesthetic performance, masticatory function, speech and swallowing for patient with post mandibular resection.
Twist map, the extended Frenkel-Kontorova model and the devil's staircase
International Nuclear Information System (INIS)
Aubry, S.
1982-01-01
Exact results obtained on the discrete Frenkel Kontorova (FK) model and its extensions during the past few years are reviewed. These models are associated with area preserving twist maps of the cylinder (or a part of it) onto itself. The theorems obtained for the FK model thus yields new theorems for the twist maps. The exact structure of the ground-states which are either commensurate or incommensurate and assert the existence of elementary discommensurations under certain necessary and sufficient conditions is described. Necessary conditions for the trajectories to represent metastable configurations, which can be chaotic, are given. The existence of a finite Peierl Nabarro barrier for elementary discommensurations is connected with a property of non-integrability of the twist map. The existence of KAM tori corresponds to undefectible incommensurate ground-states and a theorem is given which asserts that when the phenon spectrum of an incommensurate ground-state exhibits a finite gap, then the corresponding trajectory is dense on a Cantor set with zero measure length. These theorems, when applied to the initial FK model, allows one to prove the existence of the transition by breaking of analyticity for the incommensurate structures when the parameter which describes the discrepancy of the model to the integrable limit varies. Finally, we describe a theorem proving the existence of a devil's staircase for the variation curve of the atomic mean distance versus a chemical potential, for certain properties of the twist map which are generally satisfied
Energy Technology Data Exchange (ETDEWEB)
Haase, Christian, E-mail: christian.haase@iehk.rwth-aachen.de [Department of Ferrous Metallurgy, RWTH Aachen University, 52072 Aachen (Germany); Tang, Florian [Institute for Materials Applications in Mechanical Engineering, RWTH Aachen University, 52062 Aachen (Germany); Wilms, Markus B.; Weisheit, Andreas [Fraunhofer Institute for Laser Technology ILT, 52074 Aachen (Germany); Hallstedt, Bengt [Institute for Materials Applications in Mechanical Engineering, RWTH Aachen University, 52062 Aachen (Germany)
2017-03-14
High-entropy alloys have gained high interest of both academia and industry in recent years due to their excellent properties and large variety of possible alloy systems. However, so far prediction of phase constitution and stability is based on empirical rules that can only be applied to selected alloy systems. In the current study, we introduce a methodology that enables high-throughput theoretical and experimental alloy screening and design. As a basis for thorough thermodynamic calculations, a new database was compiled for the Co–Cr–Fe–Mn–Ni system and used for Calphad and Scheil simulations. For bulk sample production, laser metal deposition (LMD) of an elemental powder blend was applied to build up the equiatomic CoCrFeMnNi Cantor alloy as a first demonstrator. This production approach allows high flexibility in varying the chemical composition and, thus, renders itself suitable for high-throughput alloy production. The microstructure, texture, and mechanical properties of the material processed were characterized using optical microscopy, EBSD, EDX, XRD, hardness and compression testing. The LMD-produced alloy revealed full density, strongly reduced segregation compared to conventionally cast material, pronounced texture, and excellent mechanical properties. Phase constitution and elemental distribution were correctly predicted by simulations. The applicability of the introduced methodology to high-entropy alloys and extension to compositionally complex alloys is discussed.
Kahre, M. A.; Haberle, R. M.; Hollingsworth, J. L.; Wilson, R. J.
2014-01-01
The dust cycle is critically important for the current climate of Mars. The radiative effects of dust impact the thermal and dynamical state of the atmosphere (Gierasch and Goody, 1968; Haberle et al., 1982; Zurek et al., 1992). Although dust is present in the Martian atmosphere throughout the year, the level of dustiness varies with season. The atmosphere is generally the dustiest during northern fall and winter and the least dusty during northern spring and summer (Smith, 2004). Dust particles are lifted into the atmosphere by dust storms that range in size from meters to thousands of kilometers across (Cantor et al., 2001). During some years, regional storms combine to produce hemispheric or planet encircling dust clouds that obscure the surface and raise atmospheric temperatures by as much as 40 K (Smith et al., 2002). Key recent observations of the vertical distribution of dust indicate that elevated layers of dust exist in the tropics and sub-tropics throughout much of the year (Heavens et al., 2011). These observations have brought particular focus on the processes that control the vertical distribution of dust in the Martian atmosphere. The goal of this work is to further our understanding of how clouds in particular control the vertical distribution of dust, particularly during N. H. spring and summer
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Yaqeen S Mezaal
Full Text Available A compact dual-mode microstrip bandpass filter using geometrical slot is presented in this paper. The adopted geometrical slot is based on first iteration of Cantor square fractal curve. This filter has the benefits of possessing narrower and sharper frequency responses as compared to microstrip filters that use single mode resonators and traditional dual-mode square patch resonators. The filter has been modeled and demonstrated by Microwave Office EM simulator designed at a resonant frequency of 2 GHz using a substrate of εr = 10.8 and thickness of h = 1.27 mm. The output simulated results of the proposed filter exhibit 22 dB return loss, 0.1678 dB insertion loss and 12 MHz bandwidth in the passband region. In addition to the narrow band gained, miniaturization properties as well as weakened spurious frequency responses and blocked second harmonic frequency in out of band regions have been acquired. Filter parameters including insertion loss, return loss, bandwidth, coupling coefficient and external quality factor have been compared with different values of perturbation dimension (d. Also, a full comparative study of this filter as compared with traditional square patch filter has been considered.
A Fuzzy Computing Model for Identifying Polarity of Chinese Sentiment Words
Huang, Yongfeng; Wu, Xian; Li, Xing
2015-01-01
With the spurt of online user-generated contents on web, sentiment analysis has become a very active research issue in data mining and natural language processing. As the most important indicator of sentiment, sentiment words which convey positive and negative polarity are quite instrumental for sentiment analysis. However, most of the existing methods for identifying polarity of sentiment words only consider the positive and negative polarity by the Cantor set, and no attention is paid to the fuzziness of the polarity intensity of sentiment words. In order to improve the performance, we propose a fuzzy computing model to identify the polarity of Chinese sentiment words in this paper. There are three major contributions in this paper. Firstly, we propose a method to compute polarity intensity of sentiment morphemes and sentiment words. Secondly, we construct a fuzzy sentiment classifier and propose two different methods to compute the parameter of the fuzzy classifier. Thirdly, we conduct extensive experiments on four sentiment words datasets and three review datasets, and the experimental results indicate that our model performs better than the state-of-the-art methods. PMID:26106409
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Jaroslav Peregrin
2017-11-01
Full Text Available It is a trivial fact that if we have a square table filled with numbers, we can always form a column which is not yet contained in the table. Despite its apparent triviality, this fact can lead us the most of the path-breaking results of logic in the second half of the nineteenth and the first half of the twentieth century. We explain how this fact can be used to show that there are more sequences of natural numbers than there are natural numbers, that there are more real numbers than natural numbers and that every set has more subsets than elements (all results due to Cantor; we indicate how this fact can be seen as underlying the celebrated Russell’s paradox; and we show how it can be employed to expose the most fundamental result of mathematical logic of the twentieth century, Gödel’s incompleteness theorem. Finally, we show how this fact yields the unsolvability of the halting problem for Turing machines.
MULTIFRACTAL STRUCTURES DETECTED BY VOYAGER 1 AT THE HELIOSPHERIC BOUNDARIES
Energy Technology Data Exchange (ETDEWEB)
Macek, W. M. [Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszyński University, Wóycickiego 1/3, 01-938 Warsaw (Poland); Wawrzaszek, A. [Space Research Centre, Polish Academy of Sciences, Bartycka 18 A, 00-716 Warszawa (Poland); Burlaga, L. F., E-mail: macek@cbk.waw.pl, E-mail: anna.wawrzaszek@cbk.waw.pl, E-mail: lburlagahsp@verizon.net [NASA Goddard Space Flight Center, Code 673, Greenbelt, MD 20771 (United States)
2014-10-01
To better understand the dynamics of turbulent systems, we have proposed a phenomenological model based on a generalized Cantor set with two rescaling and one weight parameters. In this Letter, using recent Voyager 1 magnetic field data, we extend our two-scale multifractal analysis further in the heliosheath beyond the heliospheric termination shock, and even now near the heliopause, when entering the interstellar medium for the first time in human history. We have identified the scaling inertial region for magnetized heliospheric plasma between the termination shock and the heliopause. We also show that the degree of multifractality decreases with the heliocentric distance and is still modulated by the phases of the solar cycle in the entire heliosphere including the heliosheath. Moreover, we observe the change of scaling toward a nonintermittent (nonmultifractal) behavior in the nearby interstellar medium, just beyond the heliopause. We argue that this loss of multifractal behavior could be a signature of the expected crossing of the heliopause by Voyager 2 in the near future. The results obtained demonstrate that our phenomenological multifractal model exhibits some properties of intermittent turbulence in the solar system plasmas, and we hope that it could shed light on universal characteristics of turbulence.
Novas direções para a revista motricidade
Directory of Open Access Journals (Sweden)
Tiago M Barbosa
2015-05-01
tenham surgido no panorama internacional revistas de prestígio cuja política passou a ser centrar o processo de revisão mais na análise da pertinência do problema em estudo, dos processos metodológicos e desenhos experimentais. Assim, a ideia que um artigo possa ser rejeitado pela perceção de falta de relevância de duas ou três pessoas está minimizada. A revista Motricidade passará a adotar uma política semelhante. O principal julgamento sobre o artigo será do leitor e não do corpo editorial e dos revisores. Não quer isto dizer que se vai relaxar o processo de revisão, antes pelo contrário. Editores e revisores serão aconselhados a serem mais exigentes em termos de análise da identificação do problema em estudo, das hipóteses a serem testadas e nos desenhos experimentais. A Ciência tem vindo a evoluir de forma particularmente acelerada nos últimos anos. A rapidez com que se produz e dissemina o conhecimento não é compatível com os modelos do passado. Assim, a Motricidade passará a publicar online versões prévias dos artigos aceites, de acordo com as melhores práticas de outras revistas. Os artigos terão atribuído DOI, pelo que é possível não só a sua consulta, mas também serem citados mesmo antes de publicados com volume, numero e paginação atribuída. A disseminação do conhecimento não se faz unicamente por via dos meios tradicionais. As tecnologias de comunicação e informação são hoje em dia uma ferramenta valiosa. Se autores desejarem podem anexar aos artigos aceites, produtos multimédia (áudio, vídeo, etc. que serão disponibilizados aos leitores no site da revista ou noutros meios pertinentes.
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Carmen Freyre
2007-03-01
ligados à saúde e a qualidade de vida do idoso, estabelecendo relações com os motivos de adesão e permanência, na prática regular de exercícios físicos, realizados em espaços públicos. A metodologia foi descritiva quantiqualitativa de campo com o auxílio da qual foram entrevistados 120 usuários de dois programas de exercícios físicos no Recife. Os resultados apontaram os motivos mais importantes para adesão: melhorar a saúde (84,2%; melhorar o desempenho físico (70,8%; adotar estilo de vida saudável (62,5%; reduzir o estresse (60,8%; acatar prescrição médica (56,7%; auxiliar na recuperação de lesões (55%; melhorar a auto-imagem (50,8%; melhorar a auto-estima e relaxar (47,5%. Elencam-se os motivos mais importantes para a permanência: melhorar a postura (75%; promover o bem-estar (74,2%; manter-se em forma (70,8%; sentir prazer (66,7%; fi car mais forte e receber Incentivos do professor (62,5%; sentir bem-estar provocado pelo ambiente (60%; sentir-se realizado e receber atenção do professor (57,5%. Para os homens (35,1%, o hábito de praticar exercícios na juventude não revelou importância para aderir à prática de exercícios. Com esses indicadores, promover programas voltados à promoção da saúde e das necessidades dos idosos fará jus a uma população que tem motivos sufi cientes para sair do sedentarismo.
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Cintia Megumi Nishimura
2006-12-01
Full Text Available OBJETIVO: comparar do ponto de vista perceptivo-auditivo as características vocais dos gêneros do canto japonês enka e mudo enka. MÉTODOS: foram selecionadas dez gravações em CD comercialmente disponíveis de cinco cantores japoneses profissionais que caracterizam o gênero enka e cinco do estilo mudo enka. Foram elaborados um protocolo de avaliação de voz com características vocais encontradas nos dois estilos da música japonesa. A avaliação foi realizada por três fonoaudiólogas especialistas na área de voz pelo Conselho Federal de Fonoaudiologia, determinando as características vocais mais marcantes em cada gênero a partir da classificação baseada na literatura. RESULTADOS: no estilo enka, o kobushi, o vibrato e crescendos e decrescendos esteve presente em 100% das amostras vocais. Foi encontrado 80% de metal, 90% de nasalidade e alternância de registro e 70% de soprosidade. No estilo mudo enka, os crescendos e decrescendos esteve presente em 100% das amostras vocais. Foi encontrado 70% de soprosidade, 90% de vibrato, 50% de alternância de registro, 40% de metal e 20% de nasalidade e kobushi. CONCLUSÃO: Comparando-se os dois gêneros musicais, enka e mudo enka, identificou-se a presença marcante do Kobushi no gênero enka além do maior predomínio de vibrato, metal, nasalidade, alternância de registros e crescendos e decrescendos. A soprosidade foi encontrada em igual proporção em relação aos dois estilos musicais. A identificação das características vocais é útil ao fonoaudiólogo bem como ao professor de canto no atendimento de cantores durante o aprendizado do canto japonês e ou no aperfeiçoamento.PURPOSE: to compare from a perceptual perspective the vocal characteristics of enka and mudo enka Japanese singing genre. METHODS: ten recordings, from commercially available CDs, of five professional Japanese singers who sing the enka genre and five of the mudo enka genre were selected. We elaborated a voice
Molecular cloning and analysis of Myc modulator 1 (Mm-1 from Bufo gargarizans (Amphibia: Anura
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Ning Wang
2010-02-01
Full Text Available The protein of Myc modulator 1 (Mm-1 has been reported to repress the transcriptional activity of the proto-oncogene c-Myc in humans. Moreover, it was shown to be the subunit 5 of human prefoldin (PFD. So far, this gene and its homologs have been isolated and sequenced in many organisms, such as mammals and fish, but has not been sequenced for any amphibian or reptile. In order to better understand the function and evolution of Mm-1, we isolated a full-length Mm-1 cDNA (BgMm-1, GenBank accession no. EF211947 from Bufo gargarizans (Cantor, 1842 using RACE (rapid amplification of cDNA ends methods. Mm-1 in B. gargarizans is 755 bp long, comprising an open reading frame (ORF of 459 bp encoding 152 amino acids. The amino acid sequence had a prefoldin α-like domain, partially including a typical putative leucine zipper motif. BgMm-1 showed high similarity to its homolog of Mus musculus Linnaeus, 1758 (82% and Homo sapiens Linnaeus, 1758 MM-1 isoform a (81% at the amino acid level. The protein secondary structure modeled with the SWISS MODEL server revealed that there were two α-helices and four b-strands in BgMm-1 as its human orthologue, and both proteins belonged to the a class of PFD family. The phylogenetic relationships of Mm-1s from lower archaea to high mammals was consistent with the evolution of species, meanwhile the cluster result was consistent with the multiple alignment and the sequence identity analysis. RT-PCR (reverse transcriptase-polymerase chain reaction analysis demonstrated that BgMm-1 expressed widely in ten tissues of adult toad. These results can be helpful for the further investigation on the evolution of Mm-1.
Telling Lives in Science: Essays on Scientific Biography
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Harman, Peter
1997-09-01
This collection of ten essays by historians of science, several of them biographers, is concerned with the role of scientific biography in forming conceptions of science and scientists. The essays include studies of the biographies of individual scientists, assessments of the aims and style of scientific portraits in different historical contexts, examinations of changing biographical interpretations of scientists, and much discussion of the methodological issues involved in the writing of scientific biographies. Many historians consider biography to be an ambiguous genre, its appeal based on nostalgia rather than history, with a focus on personality rather than historical context, but the biographer can reply that scientific biography reveals the practice of science at its most fundamental level. Indeed, scientific biography has provided a powerful medium in which public conceptions of science have been established. Einstein observed that 'the essential being of a man of my type lies in what he thinks and how he thinks', and his Autobiographical Notes suppress personality in favour of physics. But the biographer may see matters differently, and wish to integrate the public and the private life of the scientist. In their substantial introduction the editors discuss these and other problems, and the book is directed to the professional concerns of historians of science. While there is little here on the history of physics, Geoffrey Cantor's essay on public images of Faraday as constructed in popular biographies, a discussion of conflicting portraits of Faraday as romantic genius or hard-working slogger, may interest readers of this journal. (book review)
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Lee Hyo-Jae
2012-12-01
Full Text Available Objectives: Toad venom, called Chan-Su, is a traditional Oriental medicine secreted from the auricular and the skin glands of the Bufo bufo gargarizanz Cantor or B. melanosticus Schneider and has been widely used in China, Korea and other parts of Asia for the treatment of pain, heart conditions, and cancer. We examined the concentrations of the main chemical constituents within a commerciallyavailable toad venom product and compared the levels for different extraction methods. Methods: Toad venom was extracted using either cold or hot water, ethanol (EtOH, methanol (MeOH, or ethyl acetate (EtOAc, was fractionated using precipitation or reflux, and was then analyzed using thin layer chromatography (TLC, high-performance liquid chromatography (HTLC, and liquid chroma-tography - mass spectrometry (LC-MS. Individual components were identified by comparisons of the retention times, the ultraviolet spectra, and mass spectras and differences in chemical constituents for different solvents and extraction methods are presented. Results:Components with authentic standards, including serotonin and bufodienolides (cinobufagen, bufalin, cinobufalin, and resibufogenin, were detected. The water extract of toad venom contained the greatest amount of serotonin (75.7 ± 0.1 mg/g, but very small amounts of bufodienolides (3.8 ± 0.0 mg/g. In contrast, the use of MeOH or EtOH extraction solutions resulted in 5-26 times higher concentrations of bufodienolides, with only trace amounts of serotonin. The relative and the absolute concentrations of the component also varied based on the extraction method; i.e., EtOH extracts yielded the greatest total amounts of bufodienolides, and EtOAc precipitation had the lowest amounts of bufodienolides. Conclusions: Toad venom consists of serotonin and several bufodienolides, and the choice of solvent to extract chemical the constituents is important as a way to enrich the purported active components for treating different
Catorce canciones en romance como modelos de poemas hebreos del siglo XV
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Seroussi, Edwin
2005-12-01
Full Text Available The beginnings of the Judeo-Spanish lyric in the Iberian Peninsula have so far remained om the dark due to the lack of tangible documentation. On the basis of two manuscript collections of Hebrew sacred songs (piyutim from the Bodleian Library in Oxford, it is possible to illuminate some of the formative processes of the Sephardic lyric song prior to the expulsion of the Jews from Spain and Portugal. Careful readings of the first verses of poems in Castilian and Catalan appearing in these manuscripts as melodic codes for the singing of piyutim show some aspects of the lyric repertoire in romance languages known by Jewish poets and singers before 1492.
Por falta de documentación, los comienzos de la lírica judeoespañola en la Península siempre han quedado en la oscuridad. Gracias a dos colecciones manuscritas de poemas hebreos religiosos (piyutim de la biblioteca Bodleiana de Oxford, se vislumbran ahora algunos de los procesos de formación del cancionero lírico hispanojudío anterior a la expulsión de los judíos de España y Portugal. Mediante atentas lecturas de los primeros versos (íncipits de poemas en castellano y catalán que aparecen como idicaciones melódicas de piyutim en ambos manuscritos, se pueden entrever algunos aspectos de la lírica en lenguas romances que conocían los poetas y cantores judíos antes de 1492.
Schertzer, D. J.; Tchiguirinskaia, I.; Lovejoy, S.
2013-12-01
Fractals and multifractals are very illustrative of the profound synergies between mathematics and geophysics. The book ';Fractal Geometry of Nature' (Mandelbrot, 1982) brilliantly demonstrated the genericity in geophysics of geometric forms like Cantor set, Peano curve and Koch snowflake, which were once considered as mathematical monsters. However, to tame the geophysical monsters (e.g. extreme weather, floods, earthquakes), it was required to go beyond geometry and a unique fractal dimension. The concept of multifractal was coined in the course of rather theoretical debates on intermittency in hydrodynamic turbulence, sometimes with direct links to atmospheric dynamics. The latter required a generalized notion of scale in order to deal both with scale symmetries and strong anisotropies (e.g. time vs. space, vertical vs. horizontal). It was thus possible to show that the consequences of intermittency are of first order, not just 'corrections' with respect to the classical non-intermittent modeling. This was in fact a radical paradigm shift for geophysics: the extreme variability of geophysical fields over wide ranges of scale, which had long been so often acknowledged and deplored, suddenly became handy. Recent illustrations are the possibility to track down in large date sets the Higgs boson of intermittence, i.e. a first order multifractal phase transition leading to self-organized criticality, and to simulate intermittent vector fields with the help of Lie cascades, based for instance on random Clifford algebra. It is rather significant that this revolution is no longer limited to fundamental and theoretical problems of geophysics, but now touches many applications including environmental management, in particular for urban management and resilience. These applications are particularly stimulating when taken in their full complexity.
Barnaba, Chiara; Dellacassa, Eduardo; Nicolini, Giorgio; Giacomelli, Mattia; Roman Villegas, Tomas; Nardin, Tiziana; Larcher, Roberto
2017-08-01
Vitis vinifera is one of the most widespread grapevines around the world representing the raw material for high quality wine production. The availability of more resistant interspecific hybrid vine varieties, developed from crosses between Vitis vinifera and other Vitis species, has generated much interest, also due to the low environmental effect of production. However, hybrid grape wine composition and varietal differences between interspecific hybrids have not been well defined, particularly for the simple phenols profile. The dynamic of these phenols in wines, where the glycosylated forms can be transformed into the free ones during winemaking, also raises an increasing health interest by their role as antoxidants in wine consumers. In this work an on-line SPE clean-up device, to reduce matrix interference, was combined with ultra-high liquid chromatography-high resolution mass spectrometry in order to increase understanding of the phenolic composition of hybrid grape varieties. Specifically, the phenolic composition of 4 hybrid grape varieties (red, Cabernet Cantor and Prior; white, Muscaris and Solaris) and 2 European grape varieties (red, Merlot; white, Chardonnay) was investigated, focusing on free and glycosidically bound simple phenols and considering compound distribution in pulp, skin, seeds and wine. Using a targeted approach 53 free simple phenols and 7 glycosidic precursors were quantified with quantification limits ranging from 0.001 to 2mgKg -1 and calibration R 2 of 0.99 for over 86% of compounds. The untargeted approach made it possible to tentatively identify 79 glycosylated precursors of selected free simple phenols in the form of -hexoside (N=30), -pentoside (21), -hexoside-hexoside (17), -hexoside-pentoside (4), -pentoside-hexoside (5) and -pentoside-pentoside (2) derivatives on the basis of accurate mass, isotopic pattern and MS/MS fragmentation. Copyright © 2017 Elsevier Ltd. All rights reserved.
Miteva, V. I.; Sheridan, P. P.; Brenchley, J. E.
2004-01-01
We studied a sample from the GISP 2 (Greenland Ice Sheet Project) ice core to determine the diversity and survival of microorganisms trapped in the ice at least 120,000 years ago. Previously, we examined the phylogenetic relationships among 16S ribosomal DNA (rDNA) sequences in a clone library obtained by PCR amplification from genomic DNA extracted from anaerobic enrichments. Here we report the isolation of nearly 800 aerobic organisms that were grouped by morphology and amplified rDNA restriction analysis patterns to select isolates for further study. The phylogenetic analyses of 56 representative rDNA sequences showed that the isolates belonged to four major phylogenetic groups: the high-G+C gram-positives, low-G+C gram-positives, Proteobacteria, and the Cytophaga-Flavobacterium-Bacteroides group. The most abundant and diverse isolates were within the high-G+C gram-positive cluster that had not been represented in the clone library. The Jukes-Cantor evolutionary distance matrix results suggested that at least 7 isolates represent new species within characterized genera and that 49 are different strains of known species. The isolates were further categorized based on the isolation conditions, temperature range for growth, enzyme activity, antibiotic resistance, presence of plasmids, and strain-specific genomic variations. A significant observation with implications for the development of novel and more effective cultivation methods was that preliminary incubation in anaerobic and aerobic liquid prior to plating on agar media greatly increased the recovery of CFU from the ice core sample.
Wasisto, Hutomo Suryo; Merzsch, Stephan; Waag, Andreas; Peiner, Erwin
2013-05-01
The development of low-cost and low-power MEMS-based cantilever sensors for possible application in hand-held airborne ultrafine particle monitors is described in this work. The proposed resonant sensors are realized by silicon bulk micromachining technology with electrothermal excitation, piezoresistive frequency readout, and electrostatic particle collection elements integrated and constructed in the same sensor fabrication process step of boron diffusion. Built-in heating resistor and full Wheatstone bridge are set close to the cantilever clamp end for effective excitation and sensing, respectively, of beam deflection. Meanwhile, the particle collection electrode is located at the cantilever free end. A 300 μm-thick, phosphorus-doped silicon bulk wafer is used instead of silicon-on-insulator (SOI) as the starting material for the sensors to reduce the fabrication costs. To etch and release the cantilevers from the substrate, inductively coupled plasma (ICP) cryogenic dry etching is utilized. By controlling the etching parameters (e.g., temperature, oxygen content, and duration), cantilever structures with thicknesses down to 10 - 20 μm are yielded. In the sensor characterization, the heating resistor is heated and generating thermal waves which induce thermal expansion and further cause mechanical bending strain in the out-of-plane direction. A resonant frequency of 114.08 +/- 0.04 kHz and a quality factor of 1302 +/- 267 are measured in air for a fabricated rectangular cantilever (500x100x13.5 μm3). Owing to its low power consumption of a few milliwatts, this electrothermal cantilever is suitable for replacing the current external piezoelectric stack actuator in the next generation of the miniaturized cantilever-based nanoparticle detector (CANTOR).
Coro universitário: autopercepção de sintomas vocais e desvantagem vocal no canto
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Geyse Rezende
2015-08-01
Full Text Available Resumo:OBJETIVO :comparar o índice de desvantagem vocal com a propensão à disfonia segundo a percepção dos cantores da Universidade Federal de Sergipe.MÉTODOS:estudo de abordagem quantitativa, transversal, observacional e descritiva, no qual participaram 32 coralistas. Os participantes responderam ao questionário Índice de Desvantagem Vocal no Canto Clássico, que analisa o impacto da alteração vocal na voz cantada em três subescalas: incapacidade, desvantagem e defeito. Também responderam ao questionário Escala de Sintomas Vocais que analisa a propensão à disfonia em três subescalas: limitação, emocional e físico.RESULTADOS:no Índice de Desvantagem Vocal no Canto Clássico observou-se um maior índice na subescala Defeito (28,75%, seguido da subescala Incapacidade (15,79% e Desvantagem (12,27%. Já no Escala de Sintomas Vocais, foi visto um maior escore Físico (25,23%, seguido da subescala Limitação (19,74% e Emocional (6,84%. Em comparação entre os dois questionários utilizados, foi verificada correlação estatisticamente significante entre todos os escores, exceto entre o Físico e Incapacidade. Foram comparados os escores totais dos questionários e houve correlação estatisticamente significante entre eles, o que mostra que os questionários avaliam aspectos vocais que estão, possivelmente, interligados.CONCLUSÃO:os coralistas que apresentaram propensão à disfonia nesta pesquisa também apresentaram sintomas vocais como dor na garganta, pigarro, rouquidão e tosse.
Concerns of stem cell transplant patients during routine ambulatory assessment
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Klein C
2013-01-01
Full Text Available Lisa Kennedy Sheldon,1 Maryum Kazmi,1 Cynthia Klein,2 Donna L Berry31University of Massachusetts Boston, Boston, MA, 2Seattle Cancer Care Alliance, Seattle, WA, 3Phyllis Cantor Center for Research in Nursing and Patient Care Services, Dana-Farber Cancer Institute, Boston, MA, USABackground: Stem cell transplant (SCT is a treatment choice for many hematological malignancies. There is currently a lack of evidence regarding the self-reported concerns of SCT patients before and after SCT.Aim and design: This exploratory study performed a secondary analysis of self-reported, written concerns of SCT patients before and after transplant to determine patients' concerns.Methods: Content analysis of text box entries of SCT patients collected between 2005 and 2007 at the Seattle Cancer Care Alliance. Text box entries were collected as part of symptom assessment using the Electronic Self-Report Assessment – Cancer instrument. The assessment was presented to 137 patients undergoing SCT at two time points: prior to ambulatory visits before any therapy had begun (T1 and at the first visit after hospital discharge following SCT (T2.Results: Text box entries were made before (n = 52 and after (n = 87 the transplant, resulting in 139 text box entries made by 137 patients representing 133 concerns. Using content analysis, the entries were categorized and ranked according to frequency. After symptom concerns, patients ranked work and financial issues the most frequent concerns prior to SCT. After SCT, symptoms remained the most frequently entered area of concern, followed by survival.Conclusion: Oncology providers need to assess SCT patients for work and financial concerns before and after transplant. Appropriate and timely referrals may ease the burden of these concerns for patients. Thus, assessment of financial and work concerns by the oncology team should be an integral part of quality health care for patients undergoing SCT.Keywords: self-report, electronic
Igreja Católica e mercados: a ambivalência entre a solidariedade e a competição
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André Ricardo de Souza
2007-07-01
Full Text Available A Igreja Católica enfrenta, de forma ambígua, as vicissitudes dos mercados, o religioso e o econômico propriamente dito. Na década de 90, isso se tornou evidente por causa de dois movimentos opostos. De um lado, a Renovação Carismática - resposta católica à concorrência pentecostal no mercado religioso - fomentou o uso de técnicas de marketing e a projeção de padres cantores na grande mídia. De outro, a Teologia da Libertação, corrente politizada de esquerda que desencadeou, entre outras coisas, o engajamento em atividades associativas de produção econômica em um conjunto chamado economia solidária, apontado como resposta à "exclusão do mercado de trabalho" ou ao desemprego. O artigo contextualiza a relação do catolicismo com esses mercados na sociedade brasileira.The Catholic Church faces in an ambiguous way the market's setbacks, the religious one and the economic itself. In the 1990s, it became obvious because of two opposites movements. On the one hand, the Charismatic Renewal, catholic reply to the Pentecostal (Pentecostal competition at the religious market, has stimulated the use of marketing techniques and the projection of singer priests at the big media. On the other hand, the Liberation Theology, progressist tendency that has generated, among other things, the participation of militants in associatives economic enterprises, that belong to a set named solidary economy, which has been spread as a reply to "the labour market exclusion", that is, the unemployment. This article deals with the catholic relationship with those markets at the Brazilian society.
Fast Tree: Computing Large Minimum-Evolution Trees with Profiles instead of a Distance Matrix
Energy Technology Data Exchange (ETDEWEB)
N. Price, Morgan; S. Dehal, Paramvir; P. Arkin, Adam
2009-07-31
Gene families are growing rapidly, but standard methods for inferring phylogenies do not scale to alignments with over 10,000 sequences. We present FastTree, a method for constructing large phylogenies and for estimating their reliability. Instead of storing a distance matrix, FastTree stores sequence profiles of internal nodes in the tree. FastTree uses these profiles to implement neighbor-joining and uses heuristics to quickly identify candidate joins. FastTree then uses nearest-neighbor interchanges to reduce the length of the tree. For an alignment with N sequences, L sites, and a different characters, a distance matrix requires O(N^2) space and O(N^2 L) time, but FastTree requires just O( NLa + N sqrt(N) ) memory and O( N sqrt(N) log(N) L a ) time. To estimate the tree's reliability, FastTree uses local bootstrapping, which gives another 100-fold speedup over a distance matrix. For example, FastTree computed a tree and support values for 158,022 distinct 16S ribosomal RNAs in 17 hours and 2.4 gigabytes of memory. Just computing pairwise Jukes-Cantor distances and storing them, without inferring a tree or bootstrapping, would require 17 hours and 50 gigabytes of memory. In simulations, FastTree was slightly more accurate than neighbor joining, BIONJ, or FastME; on genuine alignments, FastTree's topologies had higher likelihoods. FastTree is available at http://microbesonline.org/fasttree.
On the self-organized critical state of Vesuvio volcano
Luongo, G.; Mazzarella, A.; Palumbo, A.
1996-01-01
The catalogue of volcanic earthquakes recorded at Vesuvio (1972-1993) is shown to be complete for events with magnitude enclosed between 1.8 and 3.0. Such a result is converted in significant fractal laws (power laws) relating the distribution of earthquakes to the distribution of energy release, seismic moment, size of fractured zone and linear dimension of faults. The application of the Cantor dust model to time sequence of Vesuvio seismic and eruptive events allows the determination of significant time-clustering fractal structures. In particular, the Vesuvio eruptive activity shows a double-regime process with a stronger clustering on short-time scales than on long-time scales. The complexity of the Vesuvio system does not depend on the number of geological, geophysical and geochemical factors that govern it, but mainly on the number of their interconnections, on the intensity of such linkages and on the feed-back processes. So, all the identified fractal features are taken as evidence that the Vesuvio system is in a self-organized critical state i.e., in a marginally stable state in which a small perturbation can start a chain reaction that can lead to catastrophe. After the catatrophe, the system regulates itself and begins a new cycle, not necessarily periodic, that will end with a successive catastrophe. The variations of the fractal dimension and of the specific scale ranges, in which the fractal behaviour is found to hold, serve as possible volcanic predictors reflecting changes of the same volcanic process.
Use of molecular techniques in bioremediation.
Płaza, G; Ulfig, K; Hazen, T C; Brigmon, R L
2001-01-01
In a practical sense, biotechnology is concerned with the production of commercial products generated by biological processes. More formally, biotechnology may be defined as "the application of scientific and engineering principles to the processing of material by biological agents to provide goods and services" (Cantor, 2000). From a historical perspective, biotechnology dates back to the time when yeast was first used for beer or wine fermentation, and bacteria were used to make yogurt. In 1972, the birth of recombinant DNA technology moved biotechnology to new heights and led to the establishment of a new industry. Progress in biotechnology has been truly remarkable. Within four years of the discovery of recombinant DNA technology, genetically modified organisms (GMOs) were making human insulin, interferon, and human growth hormone. Now, recombinant DNA technology and its products--GMOs are widely used in environmental biotechnology (Glick and Pasternak, 1988; Cowan, 2000). Bioremediation is one of the most rapidly growing areas of environmental biotechnology. Use of bioremediation for environmental clean up is popular due to low costs and its public acceptability. Indeed, bioremediation stands to benefit greatly and advance even more rapidly with the adoption of molecular techniques developed originally for other areas of biotechnology. The 1990s was the decade of molecular microbial ecology (time of using molecular techniques in environmental biotechnology). Adoption of these molecular techniques made scientists realize that microbial populations in the natural environments are much more diverse than previously thought using traditional culture methods. Using molecular ecological methods, such as direct DNA isolation from environmental samples, denaturing gradient gel electrophoresis (DGGE), PCR methods, nucleic acid hybridization etc., we can now study microbial consortia relevant to pollutant degradation in the environment. These techniques promise to
Theological Metaphors in Mathematics
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Krajewski Stanisław
2016-03-01
Full Text Available Examples of possible theological influences upon the development of mathematics are indicated. The best known connection can be found in the realm of infinite sets treated by us as known or graspable, which constitutes a divine-like approach. Also the move to treat infinite processes as if they were one finished object that can be identified with its limits is routine in mathematicians, but refers to seemingly super-human power. For centuries this was seen as wrong and even today some philosophers, for example Brian Rotman, talk critically about “theological mathematics”. Theological metaphors, like “God’s view”, are used even by contemporary mathematicians. While rarely appearing in official texts they are rather easily invoked in “the kitchen of mathematics”. There exist theories developing without the assumption of actual infinity the tools of classical mathematics needed for applications (For instance, Mycielski’s approach. Conclusion: mathematics could have developed in another way. Finally, several specific examples of historical situations are mentioned where, according to some authors, direct theological input into mathematics appeared: the possibility of the ritual genesis of arithmetic and geometry, the importance of the Indian religious background for the emergence of zero, the genesis of the theories of Cantor and Brouwer, the role of Name-worshipping for the research of the Moscow school of topology. Neither these examples nor the previous illustrations of theological metaphors provide a certain proof that religion or theology was directly influencing the development of mathematical ideas. They do suggest, however, common points and connections that merit further exploration.
Taillefumier, Thibaud; Magnasco, Marcelo O
2013-04-16
Finding the first time a fluctuating quantity reaches a given boundary is a deceptively simple-looking problem of vast practical importance in physics, biology, chemistry, neuroscience, economics, and industrial engineering. Problems in which the bound to be traversed is itself a fluctuating function of time include widely studied problems in neural coding, such as neuronal integrators with irregular inputs and internal noise. We show that the probability p(t) that a Gauss-Markov process will first exceed the boundary at time t suffers a phase transition as a function of the roughness of the boundary, as measured by its Hölder exponent H. The critical value occurs when the roughness of the boundary equals the roughness of the process, so for diffusive processes the critical value is Hc = 1/2. For smoother boundaries, H > 1/2, the probability density is a continuous function of time. For rougher boundaries, H probability is concentrated on a Cantor-like set of zero measure: the probability density becomes divergent, almost everywhere either zero or infinity. The critical point Hc = 1/2 corresponds to a widely studied case in the theory of neural coding, in which the external input integrated by a model neuron is a white-noise process, as in the case of uncorrelated but precisely balanced excitatory and inhibitory inputs. We argue that this transition corresponds to a sharp boundary between rate codes, in which the neural firing probability varies smoothly, and temporal codes, in which the neuron fires at sharply defined times regardless of the intensity of internal noise.
Utility of the Canadian Treatment Optimization Recommendations (TOR) in MS care.
Grand'Maison, François; Bhan, Virender; Freedman, Mark S; Myles, Mary L; Patry, David G; Selchen, Daniel H; Moriarty, Patrick; Traboulsee, Anthony L
2013-07-01
Criteria for Treatment Optimization Recommendations (TOR) for patients with multiple sclerosis (MS) identify suboptimal response to disease-modifying treatment (DMT). The Canadian TOR (CanTOR) were used to indicate recommendations for treatment switches or treatment maintenance based on relapse, disease progression and magnetic resonance imaging (MRI) criteria in patients. We assessed concordance between the TOR and clinicians' decisions regarding treatment response and identified prevalence of patients with MS receiving DMT meeting medium/high levels of concern according to TOR. Prospective baseline and end-of-study assessments of patients with relapsing-remitting MS (RRMS) or clinically isolated syndrome were conducted in this open-label, 12-month, Phase IV, observational Canadian study. Data were reported for 184 patients (female 72%, mean age 39 years) of which 96% had RRMS. The TOR criteria identified 19 (10.3%) patients with suboptimal response to treatment. Twelve patients had ≥1 high level of concern. Two patients had ≥2 medium levels of concern. Concordance between TOR and clinician decision in maintaining treatment was 95.3%. Where treatment change was recommended by the TOR, concordance was 29.4%. Clinicians identified the TOR as the principal reason for changing treatment in 50.0% of cases where the TOR identified suboptimal response. The TOR were considered useful by 70.6% of clinicians when treatment optimization was recommended and by 55.3% when maintaining treatment was recommended. The TOR criteria can identify suboptimal response in this patient cohort. Concordance between TOR and clinician decision was high when maintaining treatment was recommended. Usefulness of the TOR was most apparent when treatment optimization was recommended.
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Tonglei Yu
2012-02-01
Full Text Available We studied the trophic ecology and microhabitat use of the Asiatic toad, Bufo gargarizans Cantor, 1842; Guentheri frog, Rana guentheri (Boulenger, 1882; and the Ricefield frog, Rana limnocharis (Boie, 1834. These three species are common around Nanchong City, in southwestern China, where they live in the same habitat before hibernation. The main objective of this study was to analyze the diets and patterns of coexistence relative to the microhabitat of each species. In the Asiatic toad, based on index of relative importance, the diet was dominated by adult Coleoptera, Isopoda, and Hymenoptera (29.53%, 22.07%, and 15.20%, respectively, while the Guenther's frog and Ricefield frog ingested predominantly Orthoptera (67.44% and 40.94%, respectively. The standardized feeding niche breadth of the Asiatic toad (0.277 was wider than that of the Guentheri frog (0.177 and Ricefield frog (0.269. The overlap in the trophic niche (prey proportion between the toad and two species of frog was low (toad vs. Guentheri frog, C H = 0.526; toad vs. Ricefield frog, C H = 0.521, while this was high for the two species of frogs (C H = 0.942. The three species also differed in microhabitat use. Asiatic toads showed strong preference for small roads close to shrubs or pre-harvest corn, while Guenther's frogs preferred bare surfaces on habitat edges, and Ricefield frogs showed a preference for bare surfaces as feeding sites in the middle of habitat. The difference in diet observed during three species seems to be explained by the difference in microhabitat use and body size of three species.
Funk, religião e ironia no mundo de Mr. Catra
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Mylene Mizrahi
2007-12-01
Full Text Available A singularidade de Mr. Catra, cantor e performer de funk, consiste em, ao reunir religião a um universo tradicionalmente classificado como erótico ou violento, permitir-nos articular as suas criação e visão de mundo ao ponto de vista dos jovens moradores da favela. O discurso em torno do divino, presente nas performances do artista, é aprofundado em seu dia-a-dia, e se revela como meio para a expressão de seu posicionamento político. Mas se esta é a forma privilegiada por Mr. Catra para explicitar o seu modo de entender o mundo, é a ironia, engenhosamente exercitada pelo artista, que nos possibilita ver como o funk, de modo amplo, é hábil em desestabilizar o poder através da manipulação subversiva de símbolos culturais caros à autoridade opressora.The article main aim is to discuss the relation between funk and religion, through the Mr. Catra's narratives, singer and performer of this musical rhythm. His singularity resides in adding religion to a universe traditionally apprehended as erotic or violent. The artist allows us to articulate his own creation both to his worldview as to the point of view of the youngsters from the favelas slums, main producers and consumers of funk music. The discourse around the divine, present at the artist's performances, is deepen in his daily life, consisting of a medium for expressing his own political position in the world. Although the religious discourse is privileged by Mr. Catra in his will to show his way of understanding the world, the funk strength resides in another aspect, that go by party and daily life. It is the irony itself, so artfully played by the artist, that allows us to realize how the funk is ingenious at, through the laugh, destabilizing the power by a subversive manipulation of cultural symbols dear to the oppressive authority.
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NATÁLIA AYO SCHMIEDECKE
2013-08-01
Full Text Available Resumo: O presente artigo se dedica a analisar o discurso político e cultural identificado com o movimento da Nova Canção Chilena através da obra musical do cantor, compositor e diretor de teatro Víctor Jara (1932-73. Apesar da morte prematura – decorrente do golpe de Estado de 1973 –, Jara deixou um legado artístico variado que se constitui em fonte privilegiada para pensar o contexto chileno dos anos 1960 e 1970, período marcado pela forte atuação de movimentos sociais que tinham como plano de fundo uma crescente polarização política. Filiado ao Partido Comunista, o músico se valeu do potencial comunicativo e expressivo da canção para defender a necessidade de se promoverem mudanças políticas estruturais no país, as quais necessariamente passariam pela esfera da cultura. Perguntando pela presença de elementos identitários em sua obra musical, analisaremos os diálogos estabelecidos pelo artista com a conjuntura política nacional, apontando para a heterogeneidade do repertório englobado sob o termo Nova Canção Chilena.Palavras-chave: Víctor Jara – Nova Canção Chilena – Unidade Popular. Abstract: The present paper is dedicated to analyze the political and cultural discourse identified to the Chilean New Song Movement through the musical work of the singer, composer and theater director Víctor Jara (1932-73. Despite his premature death - due to the coup of 1973 - Jara left a varied artistic legacy which constitutes a privileged source for thinking about the Chilean context of the 1960s and 1970s, a period marked by the strong presence of social movements that had as background the growing of the political polarization. Affiliated to the Communist Party, the musician used the communicative and expressive potential of music to defend the need to promote structural political changes in the country, which necessarily pass through the sphere of culture. Asking for the presence of identity elements in his musical
El Mariachi. Símbolo musical de México
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Jesús Jáuregui
2012-01-01
Full Text Available La tradición original del mariachi se conformó en el noroccidente de la Nueva España durante la segunda mitad del siglo XVIII y su región se extendía por la costa pacífica desde San Francisco, en la Alta California, hasta Oaxaca. A principios del siglo XX tuvo lugar la primera apropiación simbólica de esta macrotradición por parte del estado de Jalisco y, tras la Revolución mexicana, en 1925 la segunda y definitiva. A partir de grupos residentes en la ciudad de México se conformó el nuevo mariachi, propiciado por la política nacionalista del periodo cardenista y bajo la égida de la tríada de los medios de comunicación masiva: compañías radiofónicas, disqueras y cinematográficas. El nuevo estilo mariachi, diseñado en la capital del país, se difundió como jalisciense y, asociado a los charros cantores ídolos de la canción ranchera, se convirtió en el símbolo musical de México. El mariachi moderno, entre cuyas características destacan el traje de charro (código visual y la trompeta (código sonoro, se extendió por las regiones hispanas de los Estados Unidos y por América Latina. A principios del siglo XXI también se ha arraigado en Europa y Asia. El año pasado el Mariachi Mujer 2000 tocó durante la inauguración de los XXIX Juegos Olímpicos en Pekín y este año el Mariachi Los Camperos de Nati Cano participó en la Gala Latina con motivo de la asunción del primer presidente afroamericano de los Estados Unidos.
Local Wisdom of Smoked Fish Processing as Tourism Product in Situbondo Regency
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Ika Junianingsih
2014-09-01
Full Text Available Marine and fisheries resources in Situbondo Regency were potential to supports seafood processing, e.g. traditional smoked processing of mackerel tuna (Euthynnus affinis Cantor based on local wisdom. This research was aimed to assess and analyzes: the processing of smoked mackerel tuna based on local wisdom, public perception towards the processing of smoked mackerel tuna, and the quality of smoked mackerel tuna. The research carried out on January to April 2014, in Jangkar Village, Situbondo regency. The study included depth interview from key persons with questionnaire and organoleptic test. The public perception on smoked mackerel tuna was taken by questionnaire from 85 respondents, whereas the quality of smoked mackerel tuna was analyzed with laboratory proximate test. Result of this research showed that smoked mackerel tuna processing used traditional smoking instrument and fuel material. The smoking stall used several banana midrib stem above the furnace that made of cement and bricks, while the fuel use coconut coir which created the typical flavors of the smoked mackerel tuna. The average organoleptic value of the smoked mackerel tuna appearance is 7.89 (intact, clean, brown, very shiny specific type, flavors of 8.24 (less fragrant, smoked enough, without additional disturbing odor, taste of 8.41 (delicious, savory, texture of 7.40 (solid, compact, fairly dry, tight inter-flesh tissue, and colour of 7.20 (attractive, specific, shiny brown colour type. Public perception showed that the community knowledge on smoked mackerel tuna processing is good, creates good flavors of smoked mackerel tuna and favored by the community, thus also encourage the community to support the conservation of this traditional smoked processing. Lab analysis showed that the proximate value of 0.99% carbohydrates, 29.59% protein, 1.14% fat, 2.89% mineral, 1.88% ash, and 63.4% water. Processing of smoked mackerel tuna as tourism product of Situbondo Regency is
Bianchi IX dynamics in bouncing cosmologies: homoclinic chaos and the BKL conjecture
Maier, Rodrigo; Damião Soares, Ivano; Valentino Tonini, Eduardo
2015-12-01
homoclinic orbits biasymptotic to the center manifold S 3. This behavior defines a chaotic saddle associated with S 3, indicating that the intersection points of the cylinders have the nature of a Cantor set with compact support S 2. This is an invariant signature of chaos in the model. We discuss the connection between these properties of the dynamics, namely the oscillatory approach to the bounce together with its chaotic behavior, and analogous features present in the BKL conjecture in general relativity.
Patient-reported symptom distress, and most bothersome issues, before and during cancer treatment
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Hong F
2016-09-01
Full Text Available Fangxin Hong,1,2 Traci M Blonquist,1 Barbara Halpenny,3 Donna L Berry,3,4 1Department of Biostatistics and Computational Biology, Dana‑Farber Cancer Institute, Boston, MA, USA;2Department of Biostatistics, Harvard School of Public Health, Boston, MA, USA; 3Department of Nursing and Patient Care Services, The Phyllis F. Cantor Center, Dana-Farber Cancer Institute, Boston, MA, USA; 4Department of Medicine, Harvard Medical School, Boston, MA, USA Introduction: Frequently reported symptoms and treatment side effects may not be the most bothersome issues to patients with cancer. The purpose of this study was to investigate patient-reported symptom distress and bothersome issues among participants with cancer. Methods: Participants completed the Symptom Distress Scale-15 before treatment (T1 and during cancer treatment (T2 and reported up to two most bothersome issues among symptoms rated with moderate-to-severe distress. We compared symptom ratings and perceived bother and explored two approaches predicting patients’ most bothersome issues: worst absolute symptom score or worst change from pretreatment. Results: Significantly, (P≤0.0002 more patients reported moderate-to-severe distress at T2 for eight of 13 symptoms. At T1, 81% of patients reported one and 56% reported multiple symptoms with moderate-to-severe distress, while at T2, 89% reported one and 69% reported multiple symptoms with moderate-to-severe distress. Impact on sexual activity/interest, pain, fatigue, and insomnia were the most prevalent symptoms with moderate-to-severe distress. Fatigue, pain, and insomnia were perceived most often as bothersome. When one symptom was rated moderate-to-severe, predictive accuracy of the absolute score was 46% and 48% (T1 & T2 and 38% with the change score (T2–T1. When two or more symptoms were rated moderate-to-severe, predictive accuracy of the absolute score was 76% and 79% (T1 & T2 and 70% with the change score (T2–T1. Conclusion: More
Nitrate from Drinking Water and Diet and Bladder Cancer Among Postmenopausal Women in Iowa.
Jones, Rena R; Weyer, Peter J; DellaValle, Curt T; Inoue-Choi, Maki; Anderson, Kristin E; Cantor, Kenneth P; Krasner, Stuart; Robien, Kim; Freeman, Laura E Beane; Silverman, Debra T; Ward, Mary H
2016-11-01
nitrite intakes were not associated with bladder cancer. Long-term ingestion of elevated nitrate in drinking water was associated with an increased risk of bladder cancer among postmenopausal women. Citation: Jones RR, Weyer PJ, DellaValle CT, Inoue-Choi M, Anderson KE, Cantor KP, Krasner S, Robien K, Beane Freeman LE, Silverman DT, Ward MH. 2016. Nitrate from drinking water and diet and bladder cancer among postmenopausal women in Iowa. Environ Health Perspect 124:1751-1758; http://dx.doi.org/10.1289/EHP191.
Sentieri petrarcheschi, intorno ad Arquà /Petrarchan paths, around Arquà
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Francesca Favaro
2017-12-01
Full Text Available L’ultima dimora di Francesco Petrarca, situata ad Arquà, piccolo centro dei Colli Euganei nelle vicinanze di Padova, divenne lungo i secoli meta di frequenti e devoti pellegrinaggi letterari. Di questi itinerari di viaggio, che portavano a deporre, non solo idealmente, un fiore sulla tomba di Petrarca, resta una cospicua memoria, depositata, anno dopo anno, nelle pagine di coloro che – semplici estimatori del cantore di Laura o poeti e artisti anch’essi – dedicarono una lirica, una prosa, un appunto al proprio soggiorno ad Arquà. Attraversare queste pagine, sparse nella produzione dei singoli autori, ma anche conservate e riunite in edizioni a stampa sulla fine dell’Ottocento, consente pertanto di ripercorrere le orme di tali “viaggiatori di cultura”, di cogliere – nello spazio di una rima o di un giro di versi, nel riflesso di uno sguardo contemplante tradotto poi in parole – i differenti riverberi sprigionati dal magistero petrarchesco, diffusi, come un alone o, più propriamente, come un’aura, anche nel lembo di territorio che ospitò il poeta nello scorcio finale della sua esistenza. Petrarch’s last home, located in Arquà, a small town on the Euganean Hills near Padua, became over the centuries a destination of frequent literary pilgrimages. Of these travel routes, which led to lay down, not just ideally, a flower on Petrarch's tomb, a conspicuous memory remains, deposited, year after year, in the pages of those who - simple admirers of the epic poet of Laura or poets and artists themselves - dedicated a lyric poem, a prose or a note about their stay in Arquà. The outcome of this essay is therefore the crossing of some of these pages, scattered through the works of individual writers but also preserved and collected in printed editions at the end of the nineteenth century; the interpretation that has been developed allows us to capture, following the footsteps of these “cultural travelers”, the different
Liu, Kevin; Warnow, Tandy J; Holder, Mark T; Nelesen, Serita M; Yu, Jiaye; Stamatakis, Alexandros P; Linder, C Randal
2012-01-01
those sequences that maximize likelihood under the Jukes-Cantor model is uninformative in the worst possible sense. For all inputs, all trees optimize the likelihood score. Second, we show that a greedy heuristic that uses GTR+Gamma ML to optimize the alignment and the tree can produce very poor alignments and trees. Therefore, the excellent performance of SATé-II and SATé-I is not because ML is used as an optimization criterion for choosing the best tree/alignment pair but rather due to the particular divide-and-conquer realignment techniques employed.
La canonica di Santa Maria del Fiore e i suoi abitanti nella prima metà del XV secolo
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Gabriella Battista
2015-09-01
, whether they were of ancient lineage or members of the gens nova emerging in the mercantile world, but they cohabited with chaplains, clerics, cantors, from all the various social strata.
Autopercepção vocal de coristas profissionais
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Fernanda Salvatico de Aquino
2013-08-01
Full Text Available OBJETIVO: identificar o nível de autopercepção vocal de cantores de um coral profissional. MÉTODO: participaram 44 coristas, com idades entre 20 e 75 anos ( 51,5 ± 14,36, de ambos os sexos. Estes responderam a um questionário com 30 questões objetivas sobre autopercepção vocal e queixas da voz cantada e falada; experiência com o canto e hábitos relacionados ao bem estar vocal. RESULTADOS: todos os coristas auto definiram suas vozes com características positivas, não apresentando diferença estatística entre voz falada e cantada. Os coristas identificaram também características vocais negativas para voz falada e cantada, sendo que foi encontrada diferença estatística. O índice de queixas vocais foi de 31% para voz falada e 25% para voz cantada, sem apresentar diferença estatística. 43% dos participantes realizaram aulas de canto, com tempo médio 1,95 anos (± 2,29 anos e o tempo de participação em corais variou de seis meses a 66 anos, com tempo médio de 17,74 anos (± 18,45 anos. Quanto aos hábitos relacionados ao bem estar vocal, o índice médio de ingestão diária de água foi de 1,7 litros (± 0,92 litros; 50% dos coristas fazem ingestão de álcool com frequência; o índice numérico de tabagistas foi de 4,5% e 22% dos coristas são ex-tabagistas. Não foram encontradas correlações estatísticas entre tabagismo, etilismo e experiência no canto com queixas vocais. CONCLUSÃO: os coristas avaliados apresentaram um nível elevado de autopercepção de seus aspectos vocais, podendo sugerir que o canto coral desempenha um papel importante na promoção do bem estar vocal.
Perfil de extensão vocal em coristas após técnica de vibração de língua associada a escalas
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Amanda Thaís Lima
Full Text Available RESUMO: Objetivo: identificar o efeito imediato da técnica de vibração sonorizada de língua associada à variação tonal sobre o perfil de extensão vocal de coristas, analisando o tempo de prática de canto, naipe e tempo de execução do exercício. Métodos: estudo transversal quantitativo, com 13 cantores, sendo oito mulheres e cinco homens, com média de idade de 39±20,11 anos, pertencentes a diferentes naipes. O perfil de extensão vocal foi obtido a partir da análise pelo software Vocalgrama da CTS Informática. As amostras foram coletadas em três momentos: antes, após um minuto e após dois minutos de aplicação da técnica de vibração sonorizada de língua associada à variação tonal. Resultados: seis coristas (46,2% aumentaram o valor do perfil de extensão vocal, após dois minutos de execução da técnica. Os naipes sopranos e tenores apresentaram valores médios maiores do perfil de extensão vocal após dois minutos de exercício. Em relação ao tempo de prática de canto, não houve diferença entre os grupos no valor do perfil de extensão vocal em nenhum dos três momentos considerados. Conclusão: a técnica de vibração sonorizada de língua associada à variação tonal não interferiu no perfil de extensão vocal dos coristas estudados. Entretanto, o tempo de execução do exercício parece influenciar nos resultados.
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Francisco Curt Lange
1977-12-01
Full Text Available (primeiro parágrafo do texto Não se sabe exatamente quando começou o Brasil a fornecer músicos para a Argentina colonial. Em realidade, este país se achava povoado por um número maior de portugueses do que o leitor poderá imaginar. Houve prateiros e marceneiros em Buenos Aires e Córdoba durante o período colonial, destacando-se estes artífices pelo primor dos seus trabalhos. Nas minhas pesquisas em Córdoba achei até a presença dum médico português. Também houve muitos Padres portugueses no clero regular ou conventual, especialmente entre os da Ordem Seráfica de São Francisco. Ainda hoje se encontram nos velhos mosteiros do Interior, pertencentes a esta grei de mendicantes, livros portugueses de Canto Chão, levados consigo para uso diário, ou comprados pela Província da Ordem, como o Theatro Ecclesiastico e Manual de Missas, de Frei Domingos do Rosário e o Processionale, ac Rituale Romano-Seraphicum ad usum Fratrum, ac Monialum S. Francisci, publicado em Lisboa em 1780. O anterior teve grande popularidade e chegou a muitas edições. E isto, certamente, não exclui a possibilidade de se ter trazido em data anterior tais livros, ou edições anteriores, que desapareceram posteriormente das Bibliotecas por excesso de uso ou por acidentes diversos. Também devemos lembrar que as primeiras penetrações da Companhia de Jesus se levaram a efeito quase simultâneamente, vindo uma do Brasil e a outra do Peru e Alto Peru (hoje Bolívia. E que os paulistas chegaram até as pacíficas Missões ou Reduções de Indios, maravilhosamente civilizados após a sua catequese, levando com eles milhares de guaranis, homens, mulheres e crianças, para os empregar na escravidão. Entre estes foram, sem dúvida, muitos cantores e instrumentistas que havia em cada povo e que se fizeram famosos na Argentina colonial e fora de suas fronteiras, pela sua exclusiva dedicação à arte musical em conjuntos que ultrapassavam oitenta e mais intérpretes e
A Model of Inter and Multi Disciplinary Domains, and their Mutual Interactions
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Ophir Dan
2014-02-01
Full Text Available The Melvil Dewey Decimal Classification system maps the human knowledge domains into a library classification decimal system, which means that the knowledge is discretized. The domains are countable similarly to how Cantor proved the countability of the fractions' domain. The debate about the "inter-" and "multi-" disciplinary domains may also be extended into "sub-domains" or from another point of view – into "super-domains". However, Science and Technology has rapidly developed after it was classified. If at the beginning, two decimal digits were enough to classify the world's knowledge into a knowledge domain, today we need more digits – about five. This means we are able to display about a million domains of knowledge. The decimal point indicates the sub-division in the zooming-in; the number of such decimal points is unlimited. Thus, the number of hierarchical levels in the knowledge-tree is unlimited. The maximal level is unreachable since it propagates in time. This intriguing issue raises doubts whether the tree is the most appropriate structure in the current state of the knowledge classification. However, I believe that the knowledge tree is a convenient way of expressing various connections between the knowledge domains. There are other models such as multi-level graph-networks that approximate closer to reality. These models can be further visualized by graph diagrams. The knowledge diagram is more complicated, considering the interaction between science and industry relative to each domain. The model of reality might be compared to the object-oriented programming languages approximating reality in order to construct more naturally computer programs that can model the world. The mutual correspondence of the knowledge domains is dynamic. Some examples of relatively new domains are as follows: biotechnology, bioinformatics, nanotechnology, integro-differential equations, data warehouse, data mining, requirements engineering, micro
A travessia da terra vermelha: uma saga dos refugiados judeus no Brasil
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Lucius de Melo
2013-03-01
Full Text Available Os olhos da soprano viravam pássaros. Fugiam da máscara num sonoro e acelerado bater de asas porque, assim como a boca, também gostavam de cantar. A mágica que os subtraía do rosto fazia da vida uma ilusionista e da cabeça de Nora Naumann, uma cartola. Transformava os olhos em alados e afinados cantores para também tentar libertá-los da gaiola intransponível da memória. Mas, eles nada mais eram que o passado em forma de passarinho. Desprendiam-se com facilidade do corpo para voar sem pressa e prazerosamente sobre os campos verdes formados pelas copas das árvores da infinita floresta brasileira. Voavam sobre as perobas, cedros, caviúnas, marfim, canjeranas, óleo-pardo, canelas, amoreiras, araucárias e as gigantescas e imponentes figueiras brancas cujas raízes aéreas se derramavam tronco abaixo. Rodopiando como um casal em passos de valsa, desviavam do tucano solitário e do bando de papagaios tagarelas da ponta da asa vermelha. Também chegavam às praias tropicais e, misturadas às gaivotas e fragatas, voavam, voavam, ora dando rasantes sobre o mar ora furando as nuvens; depois atravessavam o oceano, cruzavam as montanhas nevadas da Europa, até pousarem cansados sobre o piano de cauda da Escola de Música de Dresden ou no palco de Teatro de Dusseldorf, na Alemanha. Só então descansavam, e, em seguida, voltavam acelerados ao interior do Brasil, cortando o céu como estrelas cadentes, cruzando a escuridão da noite, até chegarem bem perto das tímidas chamas que dançavam sobre as pontas das enferrujadas e oleosas lamparinas. Trêmulas luzes que iluminavam um pedaço de peroba-rosa enfeitado com letras talhadas à mão que identificavam o nome da singela casa de espetáculos: Ópera dos Grilos.
Partridge, Chris; de Cesare, Sergio; Mitchell, Andrew; Odell, James
2018-01-01
Formalization is becoming more common in all stages of the development of information systems, as a better understanding of its benefits emerges. Classification systems are ubiquitous, no more so than in domain modeling. The classification pattern that underlies these systems provides a good case study of the move toward formalization in part because it illustrates some of the barriers to formalization, including the formal complexity of the pattern and the ontological issues surrounding the "one and the many." Powersets are a way of characterizing the (complex) formal structure of the classification pattern, and their formalization has been extensively studied in mathematics since Cantor's work in the late nineteenth century. One can use this formalization to develop a useful benchmark. There are various communities within information systems engineering (ISE) that are gradually working toward a formalization of the classification pattern. However, for most of these communities, this work is incomplete, in that they have not yet arrived at a solution with the expressiveness of the powerset benchmark. This contrasts with the early smooth adoption of powerset by other information systems communities to, for example, formalize relations. One way of understanding the varying rates of adoption is recognizing that the different communities have different historical baggage. Many conceptual modeling communities emerged from work done on database design, and this creates hurdles to the adoption of the high level of expressiveness of powersets. Another relevant factor is that these communities also often feel, particularly in the case of domain modeling, a responsibility to explain the semantics of whatever formal structures they adopt. This paper aims to make sense of the formalization of the classification pattern in ISE and surveys its history through the literature, starting from the relevant theoretical works of the mathematical literature and gradually shifting focus
I Passiuna tu Christù - Rito e teatro di una cantica popolare della Grecìa Salentina
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Diana Costa
2012-01-01
Full Text Available Abstract – IT Questo articolo si basa sugli esiti di una ricerca di campo condotta nei paesi della Grecìa Salentina,una zona del basso Salento, dove si riscontra una peculiare modalità di esecuzione della cantica popolare grìca conosciuta come I Passiuna tu Christù (La Passione di Cristo. Attorno alla metà degli anni ´90 del ´900 la tradizione della cantica è stata oggetto di un prezioso recupero, fondato sulla memoria e disponibilità di alcuni anziani cantori, che l’ha riportata in vita dopo anni di silenzio. Lo studio si è quindi focalizzato sull'esecuzione di Zollino, uno dei comuni grecanico-salentini, dove opera l'associazione culturale "Bottega del Teatro" che per prima ha promosso il recupero di cui si è detto. Protagonista e interprete raffinato della versione zollinese è l'anziano cantore Antimo Pellegrino, la cui voce si fa teatro attraverso un uso sapiente del corpo fatto di gesti stilizzati, regolati da codici che consentono di comprendere il divenire performativo, ossia il testo in grìco, anche a chi non intende tale idioma. Abstract – EN This article is based on the results of a field research conducted in the countries of the Grecìa Salentina, an area of Salento, where there is a particular execution method of the folksong known as I Passiuna tu Christù (The Passion of the Christ. Around the mid-90s of the 20th century the tradition of this folksong has been the subject of a careful recovery, based on memory and availability of some older singers, who brought it back to life after years of silence. The study then focused on the Zollino’s execution, one of the grecanico-salentino’s common, in which works the cultural association "Bottega del Teatro", the first promoter of this recovery. The old singer Antimo Pellegrino is the player and interpreter of the Zollino’s refined version, whose voice becomes theater through a wise use of body made of stylized gestures, regulated by codes that allow you to
Narrativas dos movimentos de uma tese: apresentar as entrevistadas e narrar o narrado
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Maria Cecilia de Araujo Rodrigues Torres
2017-10-01
Full Text Available O presente artigo é uma síntese revisitada de um capítulo de uma tese de doutorado o qual apresenta as entrevistadas da pesquisa na perspectiva de uma abordagem com narrativas de si e (autobiografias. O grupo é composto por vinte mulheres, todas estudantes de um Curso de Graduação em Pedagogia e com a grande maioria que já atua como professora da educação infantil ou das séries iniciais do ensino fundamental. Como um trabalho que dialoga a partir do campo dos Estudos Culturais em Educação e da Pesquisa Biográfica, destaco autores como Arfuch (2010, Délory-Momberger (2012, Souza (2014, Abrahão (2014 , dentre outros, para compor o embasamento teórico. As entrevistadas são apresentadas através de suas narrativas das memórias musicais de diferentes fases da vida, com lembranças de sons, melodias, discos e cantores. No momento da análise dos dados que emergiram com as entrevistas e as autobiografias musicais foram organizados mapas com dados de cada entrevistada, no sentido de poder conhecer as trilhas sonoras de cada etapa de suas vidas e as articulações destas com as práticas pedagógico musicais. Abstract This is a revisited synthesis of a chapter of a PhD thesis which introduces the research interviews in the perspective of an approach with self narratives and autobiogaphies. The group i, being the vast majority already working as college teachers or teachers in the initial series of elementar school. As a study that inserts itself in the field of Cultural studies in education and Biographic research, authors as Josso (2004, Arfuch (2010, Délory-Momberger (2006, Souza (2014, Maffioletti, and Abrahão (2016 are pointed among others as the theoretical basis. The interviewed subjects are presented through its narratives of musical memories in the diferente phases of their lives, with remembrances of sounds, melodiees, recorded material, and singers. In the moment of data analysis based upon the interviews and musical
Mycobacterial infection in Northern snakehead (Channa argus) from the Potomac River catchment
Densmore, Christine L.; Iwanowicz, L.R.; Henderson, A.P.; Iwanowicz, D.D.; Odenkirk, J.S.
2016-01-01
The Northern snakehead, Channa argus (Cantor), is a non-native predatory fish that has become established regionally in some temperate freshwater habitats within the United States. Over the past decade, Northern snakehead populations have developed within aquatic ecosystems throughout the eastern USA, including the Potomac River system within Virginia, Maryland and Washington, D.C. Since this species was initially observed in this region in 2002, the population has expanded considerably (Odenkirk & Owens 2007). In the Chesapeake Bay watershed, populations of Northern snakehead exist in the lower Potomac River and Rappahannock Rivers on the Western shore of the Bay, and these fish have also been found in middle or upper reaches of river systems on the Eastern shore of the Bay, including the Nanticoke and Wicomico Rivers among others. Over the past several years, many aspects of Northern snakehead life history in the Potomac River have been described, including range and dispersal patterns, microhabitat selection and diet (Lapointe, Thorson & Angermeier 2010; Saylor, Lapointe & Angermeier 2012; Lapointe, Odenkirk & Angermeier 2013). However, comparatively little is known about their health status including susceptibility to parasitism and disease and their capacity to serve as reservoirs of disease for native wildlife. Although considered hardy by fisheries biologists, snakehead fish have demonstrated susceptibility to a number of described piscine diseases within their native range and habitat in Asia. Reported pathogens of significance in snakehead species in Asia include snakehead rhabdovirus (Lio-Po et al. 2000), aeromonad bacteria (Zheng, Cao & Yang 2012), Nocardia (Wang et al. 2007) andMycobacterium spp. (Chinabut, Limsuwan & Chantatchakool 1990; ). Mycobacterial isolates recovered from another snakehead species (Channa striata) in the previous studies have included M. marinum and M. fortuitum, as identified through molecular
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Berry DL
2015-11-01
Full Text Available Donna L Berry,1–3 Traci M Blonquist,4 Fangxin Hong,4,5 Barbara Halpenny,1 Ann H Partridge2,3 1Phyllis F Cantor Center, Dana-Farber Cancer Institute, 2Medical Oncology, Department of Medicine, Dana-Farber Cancer Institute, 3Department of Medicine, Harvard Medical School, 4Department of Biostatistics and Computational Biology, Dana-Farber Cancer Institute, 5Department of Biostatistics, Harvard School of Public Health, Boston, MA, USA Background: Therapeutic cancer chemotherapy is most successful when complete dosing is achieved. Because many newer therapeutic agents are oral and self-administered by the patient, adherence is a concern. The purpose of our analysis was to explore relationships between adherence, patient characteristics, and barriers to adherence.Methods: This secondary analysis utilized self-reported data from a randomized trial of self-care management conducted at two cancer centers in the US. Symptom distress was measured using the 15-item Symptom Distress Scale (SDS-15 and depression with the Patient Health Questionnaire-9 (PHQ-9. Adherence to oral medication was self-reported using the 8-item Morisky Medication Adherence Scale (MMAS-8. Measures were collected via Web-based, study-specific software ~8 weeks after treatment start date. Odds of low/medium adherence (score <8 were explored using univariate logistic regression. Given the number of factors and possible relationships among factors, a classification tree was built in lieu of a multivariable logistic regression model.Results: Of the eligible participants enrolled, 77 were on oral therapy and 70 had an MMAS score. Forty-nine (70% reported a high adherence score (=8. Higher odds of low/medium adherence were associated with greater symptom distress (P=0.09, more depression (P=0.05, chemotherapy vs hormonal oral medication (P=0.03, being female (P=0.02, and being randomized to the control group in the parent trial (P=0.09. Conversely, high adherence was associated with
A fractal model of the Universe
Gottlieb, Ioan
The book represents a revisioned, extended, completed and translated version of the book "Superposed Universes. A scientific novel and a SF story" (1995). The book contains a hypothesis by the author concerning the complexity of the Nature. An introduction to the theories of numbers, manyfolds and topology is given. The possible connection with the theory of evolution of the Universe is discussed. The book contains also in the last chapter a SF story based on the hypothesis presented. A connection with fractals theory is given. A part of his earlier studies (1955-1956) were subsequently published without citation by Ali Kyrala (Phys. Rev. vol.117, No.5, march 1, 1960). The book contains as an important appendix the early papers (some of which are published in the coauthoprship with his scientific advisors): 1) T.T. Vescan, A. Weiszmann and I.Gottlieb, Contributii la studiul problemelor geometrice ale teoriei relativitatii restranse. Academia R.P.R. Baza Timisoara. Lucrarile consfatuirii de geometrie diferentiala din 9-12 iunie 1955. In this paper the authors show a new method of the calculation of the metrics. 2) Jean Gottlieb, L'hyphotese d'un modele de la structure de la matiere, Revista Matematica y Fisica Teorica, Serie A, Volumen XY, No.1, y.2, 1964 3) I. Gottlieb, Some hypotheses on space, time and gravitation, Studies in Gravitation Theory, CIP Press, Bucharest, 1988, pp.227-234 as well as some recent papers (published in the coauthorship with his disciples): 4)M. Agop, Gottlieb speace-time. A fractal axiomatic model of the Universe. in Particles and Fields, Editors: M.Agop and P.D. Ioannou, Athens University Press, 2005, pp. 59-141 5) I. Gottlieb, M.Agop and V.Enache, Games with Cantor's dust. Chaos, Solitons and Fractals, vol.40 (2009) pp. 940-945 6) I. Gottlieb, My picture over the World, Bull. of the Polytechnic Institute of Iasi. Tom LVI)LX, Fasc. 1, 2010, pp. 1-18. The book contains also a dedication to father Vasile Gottlieb and wife Cleopatra
Zakim, D; Eibl, H
1992-07-05
Studies of the mechanism of lipid-induced regulation of the microsomal enzyme UDP-glucuronosyltransferase have been extended by examining the influence of charge within the polar region on the ability of lipids to activate delipidated pure enzyme. The effects of net negative charge, of charge separation in phosphocholine, and of the distribution of charge in the polar region of lipids were studied using the GT2p isoform isolated from pig liver. Prior experiments have shown that lipids with net negative charge inhibit the enzyme (Zakim, D., Cantor, M., and Eibl, H. (1988) J. Biol. Chem. 263, 5164-5169). The current experiments show that the extent of inhibition on a molar basis increases as the net negative charge increases from -1 to -2. The inhibitory effect of negatively charged lipids is on the functional state of the enzyme and is not due to electrostatic repulsion of negatively charged substrates of the enzyme. Although the inhibitory effect of net negative charge is removed when negative charge is balanced by a positive charge due to a quaternary nitrogen, neutrality of the polar region is not a sufficient condition for activation of the enzyme. In addition to a balance of charge between Pi and the quaternary nitrogen, the distance between the negative and positive charges and the orientation of the dipole created by them are critical for activation of GT2p. The negative and positive charges must be separated by the equivalent of three -CH2- groups for optimal activation by a lipid. Shortening this distance by one -CH2- unit leads to a lipid that is ineffective in activating the enzyme. Reversal of the orientation of the dipole in which the negative charge is on the polymethylene side of the lipid-water interface and the positive charge extends into water also produces a lipid that is not effective for activating GT2p. On the other hand, lipids with phosphoserine as the polar region, which has the "normal" P-N distance but carries a net negative charge, do
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Sara Lúcia Cavalcante
2003-02-01
Full Text Available JUSTIFICATIVA E OBJETIVOS: A análise espectral do eletroencefalograma vem sendo usada como medida da profundidade anestésica, nível de hipnose e sedação de diversos agentes anestésicos. O objetivo deste estudo foi avaliar os efeitos do N2O sobre os parâmetros derivados do eletroencefalograma, nível de sedação pela Escala Analógica de Alerta e Sedação (EAS, variáveis hemodinâmicas e ventilatórias. MÉTODO: Participaram do estudo 30 pacientes adultos, de ambos os sexos, estado físico ASA I, com idades entre 20 e 40 anos, que se submeteram ao seguinte protocolo: respirar espontaneamente e relaxar de olhos fechados durante dez minutos, sendo coletados dados em três momentos: M1 - antes da oferta de N2O; M2 - N2O a 30% em O2; M3 - N2O a 50% em O2. A coleta dos dados de M2 e M3 foi realizada após quinze minutos da estabilização das frações expiradas de N2O (FeN2O em 30% e 50% respectivamente, com o tempo de 5 minutos entre as frações. Os parâmetros estudados foram os seguintes: eletroencefalográficos: BIS, SEF1, SEF2, potência total (PT e taxa de supressão (TS; hemodinâmicos: freqüência cardíaca (FC, pressão arterial sistólica (PAS, pressão arterial diastólica (PAD; ventilatórios: SpO2, P ET CO2, ventilação minuto e freqüência respiratória; clínicos: os pacientes foram classificados numericamente em ordem decrescente (5, 4, 3, 2 e 1 quanto ao seu estado de alerta, pela EAS. RESULTADOS: O N2O a 30% e a 50% modificou estatisticamente o BIS, SEF1, SEF2, PT e o grau de sedação pela EAS, ao longo dos momentos estudados. Não foram observadas modificações clinicamente importantes, pois todos os pacientes mostraram-se cooperativos e levemente sedados, apesar das variações do SEF1 e SEF2 indicarem valores compatíveis com estágio de hipnose profunda. As variações estatísticas nos parâmetros hemodinâmicos e ventilatórios não foram clinicamente significativas. CONCLUSÕES: O N2O a 30% e a 50%, em
A cultura musical cubana em cinco décadas fecundas (1959-2010
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Jesús Gómez Cairo
2011-01-01
Full Text Available A Revolução triunfante em 1959 desencadeou um conjunto de transcendentais transformações em todas as esferas da vida política, econômica, social e cultural. Para isso, empregou como estratégia a formação profissional, técnica, científica, ideológica e cultural do povo, assim como a preparação em amplos aspectos dos novos artistas de que a nação precisava para seu desenvolvimento. O artigo propõe um passagem por todos os gêneros musicais cultivados na Ilha, assim como uma apresentação panorâmica e histórica dos mais destacados músicos, compositores, cantores, arranjadores, pedagogos, maestros e demais atores do vasto universo musical, desde a música popular até a música erudita ou acadêmica. A revisão abrange desde as influências da música afro-cubana, passando pelo jazz, até os mais modernos estilos musicais.La Revolución triunfante en 1959 desencadenó un conjunto de trascendentales transformaciones en todas las esferas de la vida política, económica, social y cultural. Para ello empleó en su estrategia la formación profesional, técnica, científica ideológica y cultural del pueblo la preparación en amplios aspectos de los nuevos artistas que la nación necesitaba para su desarrollo. El artículo propone un repaso por todos los géneros cultivados en la isla, así como una presentación panorámica e histórica de los más destacados músicos, compositores, cantantes, arregladores, pedagogos, maestros y demás actores del vasto universo de la música, desde la música popular hasta la música erudita o académica. Desde las influencias de la música afrocubana, pasando por el jazz, hasta los más modernos estilos musicales.The triumphant Revolution of 1959 unleashed a series of transcendental transformations in every sphere of the country's political, economic, social and cultural life. A strategy of fostering the professional, technical, scientific, ideological and cultural development of the people was
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LEONARDO LEÓN
2011-10-01
Full Text Available Nadie reconocía en él patria ni bandera. Cuando llegaba a los pagos de Quirihue, Rere, San Pedro, Tinguiririca, Puchacay o Maule, los inquilinos y mayordomos de las haciendas rehuían de su compañía porque leían en las cicatrices de su rostro, en los tatuajes de su cuerpo o en su hablar tosco y extraño, al hombre que vivía recorriendo caminos, huyendo de su propio nombre y de la justicia. Procreado en la violencia de un momento que nadie recordaba, su vida se inició en el mundo de los miserables, recogiendo las migajas con sabor a vino y cebolla, a charqui y queso añejo, para luego cazar furtivamente corderos, cabras y gallinas que degollaba con inusual calma para alimentar a su madre y a sus hermanastros; su juventud pasó entre muchas pendencias, grillos, cadenas, cepos y amores, aventuras y malones, para convertirse en hombre el día aciago en que por primera vez limpió de la hoja de su cuchillo la sangre de otro ser humano. Siempre llegaba y se iba en silencio, sin más nombre que sus apodos, que hablaban de otras muertes y de otras tierras, de asaltos, cuatrerismo y picardías; muchos se medían contra su sombra, otros se afanaban por ser sus conocidos y muy pocos podían llamarle amigo; bebedor incansable de aguardiente durante la vendimia y cantor alegre en las pulperías de extramuros, era un jugador empedernido de dados y naipes, de rayuelas y carreras ‘a la chilena’. Transitaba como sombra por fuertes, pagos y villas, puestos y vados, dejando tras de sí la extraña sensación de nunca haber pisado esa tierra. Sus historias en las noches lluviosas eran interminables, atrayendo sobre sí el halo de los hombres solitarios y andariegos que deslumbraban a las mujeres y niños, y que ejercían una fatal envidia entre los huasos e inquilinos. En su vida se entrecruzaban corregidores, comandantes y cabos de fuertes con la misma abundancia que lonkos, machis y caciques; hablaba con facilidad las dos lenguas, preparaba pócimas de
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FÖLDVÁRI, Sándor
2014-03-01
Full Text Available Decease of the witness of the Faith, a servant of the Lord and a famous researcher of the religious folklore: Nicefor Joseph Petrashevich (1915–2013 distinguished member of the Capitol of Preshov Greek Catholic Eparchy Born in Čukalovce, East-Slovakia (then Csukalóc, Upper-Hungary in 1915 as the sixth of the eleven children in the family of a Greek Catholic bishop, he was inspired by his father and elder brother who served the Lord. He studied in the high school (gymnasium of the Cistercian Order in Eger (Northern Hungary which provided its pupils with knowledge and deep faith. He became a choir-minister of the Uzghorod Bishopric Basilica where he turned to the examination of folklore traditions reflected in the liturgical chants. Apparently, it was his calling and his findings on the Byzantine chants contributed significantly to the understanding of religious folklore. He was known as a gifted composer and singer too. The Greek Catholic Church was banned in the Soviet Union which obtained Subcarpathia after the World War II, and this church was oppressed in Slovakia as well, so he faced a dilemma: to convert to the Ortodox (Pravoslav Christianity and live free, or to remain faithful to the Catholic Church and be persecuted. Moreover, he was a coelebs, a priest who did not have a wife (despite the fact that Greek Catholic priests are allowed to have families. Consequently, he could have been elected as bishop, as the higher ranks in the Byzantine Churches are open for monks. The communist authorities offered Pope Nicefor the episcopate of the Slovak Ortodox Church, if he converted to the Ortodoxy. He refused it: “my head does not accept the mithra (bishops’ crone by leaving my Catholic faith” –he said. As a result, he was imprisoned for more than two years in Slovakia. Later he came to Hungary where could not serve as a parochial priest, but worked as cantor or helping pope in various places and in centres of pilgrimage where
Los primeros órganos tubulares en México
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Guzmán Bravo, José Antonio
2015-12-01
eminente en América, don Manuel Rodríguez de Mesa y el repertorio de Cabezón, a Fabián Ximeno y el primer órgano de medio registro en América, y a Correa de Arauxo, para terminar refiriendo los reglamentos para organistas, cantores e instrumentistas en el virreinato de la Nueva España.
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Camila Miranda Loiola
2010-10-01
Full Text Available OBJETIVO: verificar os efeitos de uma proposta de intervenção fonoaudiológica com base na prática educativa, por meio de avaliação de fonoaudiólogos, professores de canto e dos próprios coristas amadores participantes, analisando, em momento pré e pós-intervenção fonoaudiológica, os parâmetros de respiração, projeção e tessitura vocal na voz cantada. MÉTODOS: o programa teve o referencial teórico de ZABALA (1998 sobre a prática educativa. Dez cantores de coral amador responderam a um questionário de caracterização e realizaram gravações da extensão vocal e canto, pré e pós-intervenção. Durante seis encontros, foi abordado o aquecimento vocal, anatomia e fisiologia da voz cantada, bem-estar vocal, respiração e propriocepção da voz. As gravações foram analisadas por juízes fonoaudiólogos e professores de canto, que avaliaram a respiração, projeção e tessitura vocal. Os coristas, sem acesso às gravações, realizaram auto-avaliação dos mesmos parâmetros. RESULTADOS: avaliação dos juízes: tessitura vocal teve mais alterações positivas, seguida da respiração e projeção vocal. Todos os parâmetros tiveram mudanças significantes (p PURPOSE: to check the effects of a speech therapy intervention, based on the educational practice, by the assessment of speech and language pathologists, singing teachers and amateur choral singers themselves, analyzing the parameters of breathing, projection and vocal range profile in singing voice, pre and post speech therapy intervention. METHODS: the program was the theoretical framework of Zabala (1998 on educational practice. Ten amateur choral singers responded to a characterization questionnaire and conducted recordings of vocal range and singing, pre and post intervention. During six meetings, we approached warm up, anatomy and physiology as for the singing voice, vocal health, breathing and voice perception. The recordings were analyzed by judges (speech
IARC Monographs: 40 Years of Evaluating Carcinogenic Hazards to Humans
Blair, Aaron; Vineis, Paolo; Ahrens, Wolfgang; Andersen, Aage; Anto, Josep M.; Armstrong, Bruce K.; Baccarelli, Andrea A.; Beland, Frederick A.; Berrington, Amy; Bertazzi, Pier Alberto; Birnbaum, Linda S.; Brownson, Ross C.; Bucher, John R.; Cantor, Kenneth P.; Cardis, Elisabeth; Cherrie, John W.; Christiani, David C.; Cocco, Pierluigi; Coggon, David; Comba, Pietro; Demers, Paul A.; Dement, John M.; Douwes, Jeroen; Eisen, Ellen A.; Engel, Lawrence S.; Fenske, Richard A.; Fleming, Lora E.; Fletcher, Tony; Fontham, Elizabeth; Forastiere, Francesco; Frentzel-Beyme, Rainer; Fritschi, Lin; Gerin, Michel; Goldberg, Marcel; Grandjean, Philippe; Grimsrud, Tom K.; Gustavsson, Per; Haines, Andy; Hartge, Patricia; Hansen, Johnni; Hauptmann, Michael; Heederik, Dick; Hemminki, Kari; Hemon, Denis; Hertz-Picciotto, Irva; Hoppin, Jane A.; Huff, James; Jarvholm, Bengt; Kang, Daehee; Karagas, Margaret R.; Kjaerheim, Kristina; Kjuus, Helge; Kogevinas, Manolis; Kriebel, David; Kristensen, Petter; Kromhout, Hans; Laden, Francine; Lebailly, Pierre; LeMasters, Grace; Lubin, Jay H.; Lynch, Charles F.; Lynge, Elsebeth; ‘t Mannetje, Andrea; McMichael, Anthony J.; McLaughlin, John R.; Marrett, Loraine; Martuzzi, Marco; Merchant, James A.; Merler, Enzo; Merletti, Franco; Miller, Anthony; Mirer, Franklin E.; Monson, Richard; Nordby, Karl-Cristian; Olshan, Andrew F.; Parent, Marie-Elise; Perera, Frederica P.; Perry, Melissa J.; Pesatori, Angela Cecilia; Pirastu, Roberta; Porta, Miquel; Pukkala, Eero; Rice, Carol; Richardson, David B.; Ritter, Leonard; Ritz, Beate; Ronckers, Cecile M.; Rushton, Lesley; Rusiecki, Jennifer A.; Rusyn, Ivan; Samet, Jonathan M.; Sandler, Dale P.; de Sanjose, Silvia; Schernhammer, Eva; Costantini, Adele Seniori; Seixas, Noah; Shy, Carl; Siemiatycki, Jack; Silverman, Debra T.; Simonato, Lorenzo; Smith, Allan H.; Smith, Martyn T.; Spinelli, John J.; Spitz, Margaret R.; Stallones, Lorann; Stayner, Leslie T.; Steenland, Kyle; Stenzel, Mark; Stewart, Bernard W.; Stewart, Patricia A.; Symanski, Elaine; Terracini, Benedetto; Tolbert, Paige E.; Vainio, Harri; Vena, John; Vermeulen, Roel; Victora, Cesar G.; Ward, Elizabeth M.; Weinberg, Clarice R.; Weisenburger, Dennis; Wesseling, Catharina; Weiderpass, Elisabete; Zahm, Shelia Hoar
2015-01-01
Background: Recently, the International Agency for Research on Cancer (IARC) Programme for the Evaluation of Carcinogenic Risks to Humans has been criticized for several of its evaluations, and also for the approach used to perform these evaluations. Some critics have claimed that failures of IARC Working Groups to recognize study weaknesses and biases of Working Group members have led to inappropriate classification of a number of agents as carcinogenic to humans. Objectives: The authors of this Commentary are scientists from various disciplines relevant to the identification and hazard evaluation of human carcinogens. We examined criticisms of the IARC classification process to determine the validity of these concerns. Here, we present the results of that examination, review the history of IARC evaluations, and describe how the IARC evaluations are performed. Discussion: We concluded that these recent criticisms are unconvincing. The procedures employed by IARC to assemble Working Groups of scientists from the various disciplines and the techniques followed to review the literature and perform hazard assessment of various agents provide a balanced evaluation and an appropriate indication of the weight of the evidence. Some disagreement by individual scientists to some evaluations is not evidence of process failure. The review process has been modified over time and will undoubtedly be altered in the future to improve the process. Any process can in theory be improved, and we would support continued review and improvement of the IARC processes. This does not mean, however, that the current procedures are flawed. Conclusions: The IARC Monographs have made, and continue to make, major contributions to the scientific underpinning for societal actions to improve the public’s health. Citation: Pearce N, Blair A, Vineis P, Ahrens W, Andersen A, Anto JM, Armstrong BK, Baccarelli AA, Beland FA, Berrington A, Bertazzi PA, Birnbaum LS, Brownson RC, Bucher JR, Cantor KP
Davarpanah, A.; Babaie, H. A.
2012-12-01
The interaction of the thermally induced stress field of the Yellowstone hotspot (YHS) with existing Basin and Range (BR) fault blocks, over the past 17 m.y., has produced a new, spatially and temporally variable system of normal faults around the Snake River Plain (SRP) in Idaho and Wyoming-Montana area. Data about the trace of these new cross faults (CF) and older BR normal faults were acquired from a combination of satellite imageries, DEM, and USGS geological maps and databases at scales of 1:24,000, 1:100,000, 1:250,000, 1:1000, 000, and 1:2,500, 000, and classified based on their azimuth in ArcGIS 10. The box-counting fractal dimension (Db) of the BR fault traces, determined applying the Benoit software, and the anisotropy intensity (ellipticity) of the fractal dimensions, measured with the modified Cantor dust method applying the AMOCADO software, were measured in two large spatial domains (I and II). The Db and anisotropy of the cross faults were studied in five temporal domains (T1-T5) classified based on the geologic age of successive eruptive centers (12 Ma to recent) of the YHS along the eastern SRP. The fractal anisotropy of the CF system in each temporal domain was also spatially determined in the southern part (domain S1), central part (domain S2), and northern part (domain S3) of the SRP. Line (fault trace) density maps for the BR and CF polylines reveal a higher linear density (trace length per unit area) for the BR traces in the spatial domain I, and a higher linear density of the CF traces around the present Yellowstone National Park (S1T5) where most of the seismically active faults are located. Our spatio-temporal analysis reveals that the fractal dimension of the BR system in domain I (Db=1.423) is greater than that in domain II (Db=1.307). It also shows that the anisotropy of the fractal dimension in domain I is less eccentric (axial ratio: 1.242) than that in domain II (1.355), probably reflecting the greater variation in the trend of the BR
La teoría matemática de conjuntos en el diagnóstico sindrómico médico
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Ángel Manuel Tundidor Bermúdez
2015-09-01
índrome urinario hemorrágico constituido en ocasiones exclusivamente por el síntoma hematuria. (4 El otro enfoque se vale de la expresión síntoma (o signo capital, que sustituye al síndrome en la discusión diagnóstica, aunque con idéntico valor semiológico que aquel (pero que no se considera conjunto por ser uno solo. (5 De este modo, en Medicina Interna se aprueba y se enseña que un paciente cuya única manifestación clínica es orinas con sangre, no presenta ningún síndrome, sino el síntoma capital hematuria. Más desconcertante aún es el paciente asintomático y con examen físico negativo, en cuya discusión diagnóstica nos vemos obligados a consignar que no existen planteamientos sindrómicos ni síntomas capitales. Tres son, pues, las maneras de enfocar un mismo paso en la discusión diagnóstica. Ello le resta uniformidad a una parte tan importante del método clínico, además de crearle gran confusión al estudiante de Medicina. Lo antes expuesto permite identificar los siguientes problemas científicos: 1.Falta de uniformidad en el diagnóstico sindrómico. 2.Imposibilidad de realizar el diagnóstico sindrómico en ausencia de síntomas y signos clínicos. La solución de estos problemas puede encontrarse en la que es, al igual que la Filosofía, además de ciencia, instrumento para el resto de las ciencias: la Matemática. Y en particular en su Teoría de Conjuntos. La Teoría de Conjuntos pertenece al área de las Matemáticas Discretas. (6 Su desarrollo histórico como disciplina independiente se atribuye a Georg Cantor que precedido por algunas ideas de Bernhard Bolzano, e influenciado por Richard Dedekind, comenzó a investigar cuestiones conjuntistas «puras» en Alemania, en la segunda mitad del siglo XIX. (7 Los resultados de su labor intelectual se publicaron en 1874. (8 Cantor define al conjunto matemático como “toda multiplicidad que puede ser pensada como unidad; esto es, toda colección de elementos determinados que pueden ser unidos en
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Ana Chrystina Venancio Mignot, Roberta Lopes da Veiga
2011-03-01
Full Text Available Resumo Analisar as intenções que guiaram a produção e comercialização da Coleção Rio, editada pela Casa Cruz, para comemorar 110 anos de existência da papelaria, em parceria com a Tilibra, a maior fabricante de cadernos escolares do país, implica em discutir a expansão e desenvolvimento da indústria caderneira resultante da modernização do parque gráfico. Para tanto, assim como editais e matérias publicadas na imprensa sobre o concurso de pintura que deu origem à coleção, alguns impressos dirigidos aos comerciantes de artigos escolares, revista e catálogos de diversas indústrias do ramo, são as principais fontes de pesquisa, visto que permitem compreender tanto as concepções que têm dos estudantes, como as preocupações que informam e conformam a produção de cadernos escolares, que deixam de ser vistos como simples suportes da escrita escolar, para serem transformados em objeto de desejo do consumidor. As escolhas das imagens das capas dos cadernos fazem parte das estratégias para conquistar este consumidor privilegiado: artistas de novelas, cantores famosos, desenhos animados, personagens de filmes e jogadores de futebol, que agradem à maioria. Com a Coleção Rio, a Casa Cruz se sobressai ao fugir da temática predominante na produção caderneira. Ao colocar em destaque algumas paisagens da Cidade Maravilhosa, também revela algumas concepções e expectativas que tem do consumidor. Nas capas assinadas por artistas plásticos cariocas, que estampam pontos turísticos e monumentos, a papelaria veicula a imagem que gostaria de perpetuar: uma cidade sem violência, medo, exclusão, uma cidade para estudante ver, amar, preservar. Palavras-chave: cadernos escolares, produção, comercialização. A RIO DE JANEIRO TO BE SEEN BY STUDENTS: INGENUITY IN PRODUCING SCHOOL NOTEBOOKS Abstract Any attempt to analyze the intentions which have guided the production and commercialization of Rio Collection, edited by Casa Cruz
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Séverine Manhaval
1999-09-01
diluvio que mezcla sueño y realidad, humorismo y nostalgia – la del idioma único, la virtuosidad del estilo y el rigor de la composición. La novela desmantela las fronteras históricas y geográficas, haciendo así de Noé una nueva figura del artista, salvador y reconstructor de la palabra, y cantor de la infinita potencialidad del lenguaje. No sin humorismo, su estética está basada en una dialéctica entre la coacción y la libertad, entre la destrucción y la reconstrucción, apoyada en un estilo vivo y corrosivo. Se juntan el cuentista, el poeta y el matemático, conjugando su sabiduría en esta novela compleja y desconcertante, relato cifrado de una experiencia linguística original y profundizada.
The Project Serapis: High Resolution Seismic Imagingof The Campi Flegrei Caldera Structure
Zollo, A.; Virieux, J.; Capuano, P.; Chiarabba, C.; de Franco, R.; Makris, J.; Michelini, A.; Musacchio, G.; Serapis Group
expected NE-SW and SE-NW structural trends and it has been designed to get 2D/3D images of the crustal structure at a regional scale. A denser 2D network of 35 OBSs has been deployed in the bay of Pozzuoli aimed at detecting and modeling reflected/converted waves from 1 the possible shallow to deep discontinuities beneath the Campi Flegrei caldera. The main target of this particular receiver lay-out is the detailed imaging of the magma chamber top, expected at 4-5 km depth, according to temperature measurements in wells and sparse seismic observations. About 5000 shots have been performed dur- ing the SERAPIS experiment, at an average spatial spacing of 125 m, for a total ship travel path of 620 km. All of the seismic lines have been re-sampled at least twice, using a staggered configuration, which results in a smaller source spacing (less than 65m). In the gulf of Pozzuoli the source array had a geometry of a 5x5 km grid, slightly shifted south with respect to the OBS array. Seismic signals produced by air- guns have been well detected up to 50-60 km distance and the whole Campi Flegrei, Ischia and Procida on-land networks have recorded high quality seismograms pro- duced by the gridded source array in the bay of Pozzuoli. Due to the extended and very dense source and receiver arrays used for SERAPIS, this campaign can provide an innovative contribution to the accurate reconstruction of the Campi Flegrei caldera structure and to the definition of its feeding system at depth. *SERAPIS group: Auger Emmanuel, Bernard Marie-Lise, Bobbio Antonella, Bonagura Mariateresa, Cantore Luciana, Convertito Vincenzo, D'Auria Luca, De Matteis Raffaella, Emolo Anto- nio, Festa Gaetano, Gasparini Paolo, Giberti Grazia, Herrero Andre, Improta Luigi, Lancieri Maria Flora, Nielsen Stefan, Nisii Vincenzo, Russo Guido, Satriano Clau- dio, Simini Mariella, Vassallo Maurizio, Bruno Pier Paolo, Buonocunto Ciro, Capello Marco, Del Pezzo Edoardo, Galluzzo Danilo, Gaudiosi Germana, Giuliana Alessio
ROTEIRO DE VIAGEM AO PAÍS DE LACAN
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Laéria Fontenele
2015-12-01
existentes, a versão de Žižek, além de sua original edificação estilística e criativa, distingue-se das demais por propor que o leitor possa ler Lacan se fazendo valer do próprio método por ele utilizado quando de sua leitura da obra freudiana, ocasião em que propõe o retorno à verdade de sua letra: o inconsciente pensa e fala. Nele reside não uma verdade profunda, mas uma verdade insuportável e com que cada sujeito deveria aprender a viver. Um dos argumentos do livro é o de que em seu retorno à Freud, Lacan, buscou acompanhar-se de outros autores não integrantes do campo psicanalítico, dentre eles estavam: Saussure, Levi-Strauss, Jakobson, Edgar Allan Poe, Cantor, Platão, Kant, Hegel, Heidegger, Karl Marx. O mesmo é proposto pelo autor ao seu leitor, levando-o através da leitura com Lacan de autores e obras artísticas, bem como eventos de nossa cultura, a iluminar conceitos antes tidos como obscuros. Cada capítulo do livro foi construído no sentido de confrontar um conceito lacaniano com um fragmento proveniente da literatura, do cinema, de produções da mídia, da política, dentre outros, mostrando que os conceitos psicanalíticos, assim como sua dimensão clínica, estão disseminados nos diversos domínios de que é feita nossa vida. Assim, por exemplo, os conceitos de “ideal do eu” e “supereu” são transmitidos na medida em que Lacan torna-se espectador do filme “Casablanca”. O conceito de real, por sua vez, emerge da posição de Lacan como espectador de Alien. Zizek faz, também, com que Lacan assista até mesmo novela mexicana para mencionar suas teses. É exemplar o trecho em que procura informar o leitor das teses Lacanianas acerca da dissimetria que existe, devida à incidência subjetiva da diferença sexual, no encontro amoroso entre homem e mulher. Refere-se, então, a uma peça publicitária de cerveja – veiculada pela TV britânica -, onde uma bela moça passeia ao longo da margem de um rio e depara um sapo, ao que o