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Sample records for general principles of mathematics

  1. The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering

    Energy Technology Data Exchange (ETDEWEB)

    Stakhov, A.P. [International Club of the Golden Section, 6 McCreary Trail, Bolton, ON, L7E 2C8 (Canada)] e-mail: goldenmuseum@rogers.com

    2005-10-01

    The 'Dichotomy Principle' and the classical 'Golden Section Principle' are two of the most important principles of Nature, Science and also Art. The Generalized Principle of the Golden Section that follows from studying the diagonal sums of the Pascal triangle is a sweeping generalization of these important principles. This underlies the foundation of 'Harmony Mathematics', a new proposed mathematical direction. Harmony Mathematics includes a number of new mathematical theories: an algorithmic measurement theory, a new number theory, a new theory of hyperbolic functions based on Fibonacci and Lucas numbers, and a theory of the Fibonacci and 'Golden' matrices. These mathematical theories are the source of many new ideas in mathematics, philosophy, botanic and biology, electrical and computer science and engineering, communication systems, mathematical education as well as theoretical physics and physics of high energy particles.

  2. Principles of mathematical modeling

    CERN Document Server

    Dym, Clive

    2004-01-01

    Science and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition, is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, an...

  3. Robotic and mathematical modeling reveal general principles of appendage control and coordination in terrestrial locomotion

    Science.gov (United States)

    McInroe, Benjamin; Astley, Henry; Gong, Chaohui; Kawano, Sandy; Schiebel, Perrin; Choset, Howie; Goldman, Daniel I.

    The transition from aquatic to terrestrial life presented new challenges to early walkers, necessitating robust locomotion on complex, flowable substrates (e.g. sand, mud). Locomotion on such substrates is sensitive to limb morphology and kinematics. Although early walker morphologies are known, principles of appendage control remain elusive. To reveal limb control strategies that facilitated the invasion of land, we study both robotic and mathematical models. Robot experiments show that an active tail is critical for robust locomotion on granular media, enabling locomotion even with poor foot placement and limited ability to lift the body. Using a granular resistive force theory model, we construct connection vector fields that reveal how appendage coordination and terrain inclination impact locomotor performance. This model replicates experimental results, showing that moving limbs/tail in phase is most effective (suggesting a locomotor template). Varying limb trajectories and contacts, we find gaits for which tail use can be neutral or harmful, suggesting limb-tail coordination to be a nontrivial aspect of locomotion. Our findings show that robot experiments coupled with geometric mechanics provide a general framework to reveal principles of robust terrestrial locomotion. This work was supported by NSF PoLS.

  4. GENERAL PRINCIPLES OF LAW

    Directory of Open Access Journals (Sweden)

    Elena ANGHEL

    2016-05-01

    Full Text Available According to Professor Djuvara “law can be a science, and legal knowledge can also become science when, referring to a number as large as possible of acts of those covered by law, sorts and connects them by their essential characters upon legal concepts or principles which are universally valid, just like the laws of nature”. The general principles of law take a privileged place in the positive legal order and represent the foundation of any legal construction. The essence of the legal principles resides in their generality. In respect of the term “general”, Franck Moderne raised the question on the degree of generality used in order to define a principle as being general – at the level of an institution, of a branch of the law or at the level of the entire legal order. The purpose of this study is to find out the characteristics of law principles. In our opinion, four characteristics can be mentioned.

  5. Physical Consequences of Mathematical Principles

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    Comay E.

    2009-10-01

    Full Text Available Physical consequences are derived from the following mathematical structures: the variational principle, Wigner’s classifications of the irreducible representations of the Poincar ́ e group and the duality invariance of the homogeneous Maxwell equations. The analysis is carried out within the validity domain of special relativity. Hierarchical re- lations between physical theories are used. Some new results are pointed out together with their comparison with experimental data. It is also predicted that a genuine Higgs particle will not be detected.

  6. The general principles of quantum theory

    CERN Document Server

    Temple, George

    2014-01-01

    Published in 1934, this monograph was one of the first introductory accounts of the principles which form the physical basis of the Quantum Theory, considered as a branch of mathematics. The exposition is restricted to a discussion of general principles and does not attempt detailed application to the wide domain of atomic physics, although a number of special problems are considered in elucidation of the principles. The necessary fundamental mathematical methods - the theory of linear operators and of matrics - are developed in the first chapter so this could introduce anyone to the new theor

  7. Mathematical principle and characteristics of polarization transform

    Institute of Scientific and Technical Information of China (English)

    2008-01-01

    The precise definition of polarization transform is proposed from the viewpoint of polarization domain transform for the first time. The mathematical principle,char-acteristics and physical meanings of polarization transform are analyzed. Two typical kinds of polarization transforms which are called unitary matrix polarization transform (UMPT) and diagonal matrix polarization transform (DMPT) are put for-ward. The gain property and the change property of polarization state distance are presented in detail. Thereby,the concept of serial polarization transform is pro-posed. A general polarization transform can be realized by two steps: changing the location of polarization states in polarization domain by UMPT; and expanding or compressing the density of polarization states by DMPT. The result is meaningful to many applications including polarization filtering,detection,enhancement,anti-jamming,discrimination and so on.

  8. Mathematical principles of road congestion pricing

    Directory of Open Access Journals (Sweden)

    WJ Pienaar

    2009-06-01

    Full Text Available This paper briefly considers the objectives of road congestion pricing and identifies prerequisites to the successful application of such a pricing scheme. The paper is divided into two sections. In the first section, a mathematical analysis of the constituents of an optimal road congestion price is offered. The eliminated inefficiency loss achieved by the introduction of a congestion levy is usually evaluated by means of an integral involving marginal trip cost, travel demand and average trip cost in two-dimensional (travel time, traffic flow-space. In this section we show that this loss may, in fact, be evaluated more easily for a general marginal trip cost function and a linear demand function as the difference between the areas of a rectangle (representing the part of road agency revenue that lies below the original trip cost and a triangle (representing the loss of consumer surplus of the reduced traffic in (travel time, traffic flow-space, eliminating the need to use integration. The next section deals with the application of the illustrated mathematical principles and proofs to a hypothetical case study relating to road congestion pricing in Cape Town.

  9. General principles of antimicrobial therapy.

    Science.gov (United States)

    Leekha, Surbhi; Terrell, Christine L; Edson, Randall S

    2011-02-01

    Antimicrobial agents are some of the most widely, and often injudiciously, used therapeutic drugs worldwide. Important considerations when prescribing antimicrobial therapy include obtaining an accurate diagnosis of infection; understanding the difference between empiric and definitive therapy; identifying opportunities to switch to narrow-spectrum, cost-effective oral agents for the shortest duration necessary; understanding drug characteristics that are peculiar to antimicrobial agents (such as pharmacodynamics and efficacy at the site of infection); accounting for host characteristics that influence antimicrobial activity; and in turn, recognizing the adverse effects of antimicrobial agents on the host. It is also important to understand the importance of antimicrobial stewardship, to know when to consult infectious disease specialists for guidance, and to be able to identify situations when antimicrobial therapy is not needed. By following these general principles, all practicing physicians should be able to use antimicrobial agents in a responsible manner that benefits both the individual patient and the community.

  10. USE OF SUPERPOSITION PRINCIPLE TO DERIVE A GENERAL MATHEMATICAL MODEL TO SIMULATE ONE-TO-ONE, ONE-TO-MULTI AND MULTI-TO-MULTI SAW FILTER DESIGNS

    Institute of Scientific and Technical Information of China (English)

    2001-01-01

    This paper explains and summarizes a new attempt to derive a general mathematical model [GMM] to simulate surface acoustic wave (SAW) filters, using the superposition principle and delta function model. GMM can be used to simulate One-to-One, One-to-Multi and Multi-to-Multi SAW filter devices. The simulation program was written using MATLAB (the language of technical computing). Four-design structures (One-to-One, One-to-Two, One-to-Three and Ten-to-Ten) ware selected to test the correctness of GMM. The frequency response of the simulation and test results are similar in center frequency and 3-dB bandwidth, but the insertion loss is different, because of some second order effects (Issa Haitham, 1999).

  11. Mathematical Definitions of Operators for Cartographic Generalization

    Institute of Scientific and Technical Information of China (English)

    2003-01-01

    This paper puts forword 11 cartographic generalization operator models and introduces their mathematical definitions,and thus a precise mathematical form and quantitative description has been given to these formerly limited qualitative concepts.The meaning of mathematical definition of operators for cartographic generalization and the application prospect in computer-aided cartography (CAC) is stated.

  12. SCIENTIFIC PRINCIPLES AND MATHEMATICAL MODELS OF PROCESSES OF MINING

    OpenAIRE

    Kriuchkov, Anatolii Ivanovych

    2016-01-01

    The connection between mathematical models of the mining industry with the basic scientific principles. The method of simulation of random non-stationary processes in the form of a set of Hamilton-Jacobi equations and Fokker-Planck-Kolmogorov using the principle of duality movement of mass in space

  13. Action Principle for the Generalized Harmonic Formulation of General Relativity

    CERN Document Server

    Brown, J David

    2010-01-01

    An action principle for the generalized harmonic formulation of general relativity is presented. The action is a functional of the spacetime metric and the gauge source vector. The Z4 formulation of general relativity also can be defined by an action principle, as discussed by Bona, Bona--Casas and Palenzuela. The relationship between the generalized harmonic and Z4 actions is presented in detail.

  14. General principles of vibrational spectroscopies

    NARCIS (Netherlands)

    Weckhuysen, B.M.; Schoonheydt, R.A.

    2000-01-01

    Atoms in molecules and solids do not remain in fixed relative positions, but vibrate about some mean position. This vibrational motion is quantized and at room temperature, most of the molecules in a given sample are in their lowest vibrational state. Absorption of electromagnetic radiation with

  15. Mathematic principle of active jamming against wideband LFM radar

    Institute of Scientific and Technical Information of China (English)

    Shixian Gong; Xizhang Wei; Xiang Li; Yongshun Ling

    2015-01-01

    The inherent mathematic principle of active jamming against the wideband linear frequency modulated (LFM) radar is investigated. According to different generation strategies, the active jamming methods are reclassified into three groups, i.e., non-coherent jamming (NCJ), convolution jamming (CJ) and mul-tiplying jamming (MJ). Based on the classification, the mathematic principles of different active jamming groups are put forward, which describe the relationships between the modulated signals and the jamming results. The advantages and disadvantages of different groups are further analyzed, which provides a new perspective for the study of jamming/anti-jamming methods and a potential for engineers to integrate similar jamming methods into one jam-mer platform. The analyses and simulation results of some typical active jamming methods prove the validity of the proposed mathe-matics principle.

  16. The mathematical theory of general relativity

    CERN Document Server

    Katkar, L N

    2014-01-01

    This book is prepared for M. Sc. Students of Mathematics and Physics. The aim of writing this book is to give the reader a feeling for the necessity and beauty of the laws of general relativity. The contents of the book will attract both mathematicians and physicists which provides motivation and applications of many ideas and powerful mathematical methods of modern analysis and differential geometry. An attempt has been made to make the presentation comprehensive, rigorous and yet simple. Most calculations and transformations have been carried out in great detail. KEY FEATURE: Numerous solved examples using the well known mathematical techniques viz., the tensors and the differential forms in each chapter.

  17. Basic didactic principles in the study of mathematical concepts

    Directory of Open Access Journals (Sweden)

    Testоv Vladimir

    2016-01-01

    Full Text Available The problem of understanding in the study of basic mathematical concepts in mathematics education has exacerbated during recent years. This is largely due to the fact that the style of thinking of pupils and students thanks to the intensive use of the Web becomes figurative and emotional, less inclined to abstract constructions. Fragments-clip thinking has become more common for most of students. The article deals with the didactic principles to be used in the study of mathematical concepts, which will contribute to achieving understanding.

  18. Teaching General Principles and Applications of Dendrogeomorphology.

    Science.gov (United States)

    Butler, David R.

    1987-01-01

    Tree-ring analysis in geomorphology can be incorporated into a number of undergraduate methods in order to reconstruct the history of a variety of geomorphic processes. Discusses dendrochronology, general principles of dendrogeomorphology, field sampling methods, laboratory techniques, and examples of applications. (TW)

  19. Multipartition generalizations of the Schwinger variational principle

    Science.gov (United States)

    Goldflam, R.; Thaler, R. M.; Tobocman, W.

    1981-04-01

    Generalizations of the Schwinger variational principle are proposed which include rearrangement scattering. Functionals are given for the transition amplitude. The requirement that a functional be stationary with respect to variation of the scattering wave function leads to a set of simultaneous equations for the scattering wave function rather than a single equation. This is consistent with recent formalisms for many-body scattering.

  20. The Doctrine of Relations in Bertrand Russell's Principles of Mathematics

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    Michael Pakaluk

    2013-11-01

    Full Text Available The question of the nature of relations is of great importance in the early writings of Bertrand Russell, since his disagreements with British Idealism center around relations, and his philosophy of mathematics depends crucially on relations. Yet there is no extended and systematic discussion of relations in early Russell. After examining Russell's definition of a relation, the author systematically and critically examines Russell's views in Principles of Mathematics on the following issues: whether a relation exists apart from its terms; the intensional character of relations; difficulties in reflexive relations; and whether simple relations can relate more than two relata.

  1. General principles of quantum field theory

    Energy Technology Data Exchange (ETDEWEB)

    Bogolubov, N.N.; Logunov, A.A. (AN SSSR, Moscow (USSR) Moskovskij Gosudarstvennyj Univ., Moscow (USSR)); Oksak, A.I. (Institute for High Energy Physics, Moscow (USSR)); Todorov, I.T. (Bylgarska Akademiya na Naukite, Sofia (Bulgaria) Bulgarian Institute for Nuclear Research and Nuclear Energy, Sofia (Bulgaria))

    1990-01-01

    This major volume provides a account of general quantum field theory, with an emphasis on model-independent methods. The important aspects of the development of the subject are described in detail and are shown to have promising links with many branches of modern mathematics and theoretical physics, such as random fields (probability), statistical physics, and elemantary particles. The material is presented in a thorough, systematic way and the mathematical methods of quantum field theory are also given. The text is self-contained and contains numerous exercises. Topics of independent interest are given in appendices. The book also contains a large bibliography. (author). 1181 refs. Includes index of notation and subject index; includes 1181 refs.

  2. Elements of mathematics general topology

    CERN Document Server

    Bourbaki, Nicolas

    1995-01-01

    This is the softcover reprint of the English translation of 1971 (available from Springer since 1989) of the first 4 chapters of Bourbaki's Topologie générale. It gives all the basics of the subject, starting from definitions. Important classes of topological spaces are studied, uniform structures are introduced and applied to topological groups. Real numbers are constructed and their properties established. Part II, comprising the later chapters, Ch. 5-10, is also available in English in softcover.

  3. Gravitational tests of the generalized uncertainty principle

    Energy Technology Data Exchange (ETDEWEB)

    Scardigli, Fabio [American University of the Middle East, Department of Mathematics, College of Engineering, P.O. Box 220, Dasman (Kuwait); Politecnico di Milano, Dipartimento di Matematica, Milan (Italy); Casadio, Roberto [Alma Mater Universita di Bologna, Dipartimento di Fisica e Astronomia, Bologna (Italy); INFN, Sezione di Bologna, Bologna (Italy)

    2015-09-15

    We compute the corrections to the Schwarzschild metric necessary to reproduce the Hawking temperature derived from a generalized uncertainty principle (GUP), so that the GUP deformation parameter is directly linked to the deformation of the metric. Using this modified Schwarzschild metric, we compute corrections to the standard general relativistic predictions for the light deflection and perihelion precession, both for planets in the solar system and for binary pulsars. This analysis allows us to set bounds for the GUP deformation parameter from well-known astronomical measurements. (orig.)

  4. A review of the generalized uncertainty principle.

    Science.gov (United States)

    Tawfik, Abdel Nasser; Diab, Abdel Magied

    2015-12-01

    Based on string theory, black hole physics, doubly special relativity and some 'thought' experiments, minimal distance and/or maximum momentum are proposed. As alternatives to the generalized uncertainty principle (GUP), the modified dispersion relation, the space noncommutativity, the Lorentz invariance violation, and the quantum-gravity-induced birefringence effects are summarized. The origin of minimal measurable quantities and the different GUP approaches are reviewed and the corresponding observations are analysed. Bounds on the GUP parameter are discussed and implemented in the understanding of recent PLANCK observations of cosmic inflation. The higher-order GUP approaches predict minimal length uncertainty with and without maximum momenta. Possible arguments against the GUP are discussed; for instance, the concern about its compatibility with the equivalence principles, the universality of gravitational redshift and the free fall and law of reciprocal action are addressed.

  5. Phenomenological Implications of the Generalized Uncertainty Principle

    CERN Document Server

    Das, Saurya

    2009-01-01

    Various theories of Quantum Gravity argue that near the Planck scale, the Heisenberg Uncertainty Principle should be replaced by the so called Generalized Uncertainty Principle (GUP). We show that the GUP gives rise to two additional terms in any quantum mechanical Hamiltonian, proportional to \\beta p^4 and \\beta^2 p^6 respectively, where \\beta \\sim 1/(M_{Pl}c)^2 is the GUP parameter. These terms become important at or above the Planck energy. Considering only the first of these, and treating it as a perturbation, we show that the GUP affects the Lamb shift, Landau levels, reflection and transmission coefficients of a potential step and potential barrier, and the current in a Scanning Tunnel Microscope (STM). Although these are too small to be measurable at present, we speculate on the possibility of extracting measurable predictions in the future.

  6. Mathematical properties of generalized Sturmian functions

    Energy Technology Data Exchange (ETDEWEB)

    Ambrosio, M J; Punta, J A Del; Rodriguez, K V; Gasaneo, G [Departamento de Fisica, Universidad Nacional del Sur and Consejo Nacional de Investigaciones Cientificas y Tecnicas, 8000 Bahia Blanca, Buenos Aires (Argentina); Ancarani, L U, E-mail: mja1984@gmail.com [Laboratoire de Physique Moleculaire et des Collisions, Universite Paul Verlaine-Metz, 57078 Metz (France)

    2012-01-13

    We study some mathematical properties of generalized Sturmian functions which are solutions of a Schroedinger-like equation supplemented by two boundary conditions. These generalized functions, for any value of the energy, are defined in terms of the magnitude of the potential. One of the boundary conditions is imposed at the origin of the coordinate, where regularity is required. The second point is at large distances. For negative energies, bound-like conditions are imposed. For positive or complex energies, incoming or outgoing boundary conditions are imposed to deal with scattering problems; in this case, since scattering conditions are complex, the Sturmian functions themselves are complex. Since all of the functions solve a Sturm-Liouville problem, they allow us to construct a Sturmian basis set which must be orthogonal and complete: this is the case even when they are complex. Here we study some properties of generalized Sturmian functions associated with the Hulthen potential, in particular, the spatial organization of their nodes, and demonstrate explicitly their orthogonality. We also show that the overlap matrix elements, which are generally required in scattering or bound state calculations, are well defined. Many of these mathematical properties are expressed in terms of uncommon multivariable hypergeometric functions. Finally, applications to the scattering of a particle by a Yukawa and by a Hulthen potential serve as illustrations of the efficiency of the complex Hulthen-Sturmian basis. (paper)

  7. Rowlands' Duality Principle: A Generalization of Noether's Theorem?

    Science.gov (United States)

    Karam, Sabah E.

    This paper will examine a physical principle that has been used in making valid predictions and generalizes established conservation laws. In a previous paper it was shown how Rowlands' zero-totality condition could be viewed as a generalization of Newton's third law of motion. In this paper it will be argued that Rowlands' Duality Principle is a generalization of Noether's Theorem and that the two principles taken together are truly foundational principles that have tamed Metaphysics.

  8. GENERAL TASKS OF MATHEMATICAL EDUCATION DEVELOPMENT

    Directory of Open Access Journals (Sweden)

    V. A. Testov

    2014-01-01

    Full Text Available The paper discusses basic implementation aspects of the Mathematical Education Development Concept, adopted by the Russian Government in 2013. According to the above document, the main problems of mathematical education include: low motivation of secondary and higher school students for studying the discipline, resulted from underestimation of mathematical knowledge; and outdated educational content, overloaded by technical elements. In the author’s opinion, a number of important new mathematical fields, developed over the last years, - the graph theory, discrete mathematics, encoding theory, fractal geometry, etc – have a large methodological and applied educational potential. However, these new subdisciplines have very little representation both in the secondary and higher school mathematical curricula. As a solution for overcoming the gap between the latest scientific achievements and pedagogical practices, the author recommends integration of the above mentioned mathematical disciplines in educational curricula instead of some outdated technical issues. In conclusion, the paper emphasizes the need for qualified mathematical teachers’ training for solving the problems of students’ motivation development and content updates.

  9. Mathematic principles of interrupted-sampling repeater jamming (ISRJ)

    Institute of Scientific and Technical Information of China (English)

    WANG XueSong; LIU JianCheng; ZHANG WenMing; FU QiXiang; LIU Zhong; XIE XiaoXia

    2007-01-01

    Coherent jamming is one of the important trends in modern radar electronic warfare. High-speed sampling of wideband radio frequency (RF) signals and high isolation of two receive-transmit antennas are key technologies for the realization of coherent jamming. However, these technologies present significant challenges to engineering application. In this paper, a novel repeater jamming based on interrupted sampling technique is presented. For a jammer with a receive-transmit time-sharing antenna, a radar signal is sampled with a low rate by the jammer. Then, a train of false targets will be achieved after the jamming signal feed the matched filter of a pulse compression radar. For the case of the linear frequency modulated (LFM) pulse compression radars, mathematic principles of the interrupted-sam- pling repeater jamming is developed, and then the efficiency of the jamming is described and stated as expressions of key parameters which are also beneficial to the jamming design for other coherent radars.

  10. 29 CFR 780.138 - Application of the general principles.

    Science.gov (United States)

    2010-07-01

    ... 29 Labor 3 2010-07-01 2010-07-01 false Application of the general principles. 780.138 Section 780.138 Labor Regulations Relating to Labor (Continued) WAGE AND HOUR DIVISION, DEPARTMENT OF LABOR... principles. Some examples will serve to illustrate the above principles. Employees of a fruit grower who...

  11. Incorporation of generalized uncertainty principle into Lifshitz field theories

    Energy Technology Data Exchange (ETDEWEB)

    Faizal, Mir, E-mail: f2mir@uwaterloo.ca [Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1 (Canada); Majumder, Barun, E-mail: barunbasanta@iitgn.ac.in [Indian Institute of Technology Gandhinagar, Ahmedabad, 382424 (India)

    2015-06-15

    In this paper, we will incorporate the generalized uncertainty principle into field theories with Lifshitz scaling. We will first construct both bosonic and fermionic theories with Lifshitz scaling based on generalized uncertainty principle. After that we will incorporate the generalized uncertainty principle into a non-abelian gauge theory with Lifshitz scaling. We will observe that even though the action for this theory is non-local, it is invariant under local gauge transformations. We will also perform the stochastic quantization of this Lifshitz fermionic theory based generalized uncertainty principle.

  12. Generalization of the ERIT principle and method.

    Energy Technology Data Exchange (ETDEWEB)

    Ruggiero,A.G.

    2007-11-04

    The paper describes the generalization of the method to produce secondary particles with a low-energy and low-intensity primary beam circulating in a Storage Ring with the Emittance-Recovery by Internal-Target (ERIT).

  13. Mathematical principles of reinforcement and resistance to change.

    Science.gov (United States)

    Nevin, John A.

    2003-04-28

    Although Killeen's mathematical principles of reinforcement (MPR) apply to the asymptotic rate of a free operant after extended exposure to a single schedule of reinforcement, they can be extended to resistance to change in multiple schedules via alterations in the parameter representing the activating effects of reinforcers. MPR's predictions of resistance to change in relation to reinforcer rate on variable-interval (VI) schedules are empirically correct and agree with behavioral momentum theory (BMT). However, both MPR and BMT encounter problems in accounting for the effects of delayed reinforcement on resistance to change, relative to immediate reinforcement at the same rate. Further problems are raised by differences in resistance to change between variable-ratio (VR) and variable-interval performances maintained by the same reinforcer rate. With both delayed versus immediate reinforcement and variable-ratio versus variable-interval reinforcement, differential resistance to change is negatively correlated with the log ratios of baseline response rates when reinforcer rates are equated. Cases where resistance to change varies despite equated reinforcer rates, and the correlations among behavioral measures, provide challenges and opportunities for both MPR and BMT.

  14. Some Implications of Two Forms of the Generalized Uncertainty Principle

    Directory of Open Access Journals (Sweden)

    Mohammed M. Khalil

    2014-01-01

    Full Text Available Various theories of quantum gravity predict the existence of a minimum length scale, which leads to the modification of the standard uncertainty principle to the Generalized Uncertainty Principle (GUP. In this paper, we study two forms of the GUP and calculate their implications on the energy of the harmonic oscillator and the hydrogen atom more accurately than previous studies. In addition, we show how the GUP modifies the Lorentz force law and the time-energy uncertainty principle.

  15. Generalized uncertainty principles

    CERN Document Server

    Machluf, Ronny

    2008-01-01

    The phenomenon in the essence of classical uncertainty principles is well known since the thirties of the last century. We introduce a new phenomenon which is in the essence of a new notion that we introduce: "Generalized Uncertainty Principles". We show the relation between classical uncertainty principles and generalized uncertainty principles. We generalized "Landau-Pollak-Slepian" uncertainty principle. Our generalization relates the following two quantities and two scaling parameters: 1) The weighted time spreading $\\int_{-\\infty}^\\infty |f(x)|^2w_1(x)dx$, ($w_1(x)$ is a non-negative function). 2) The weighted frequency spreading $\\int_{-\\infty}^\\infty |\\hat{f}(\\omega)|^2w_2(\\omega)d\\omega$. 3) The time weight scale $a$, ${w_1}_a(x)=w_1(xa^{-1})$ and 4) The frequency weight scale $b$, ${w_2}_b(\\omega)=w_2(\\omega b^{-1})$. "Generalized Uncertainty Principle" is an inequality that summarizes the constraints on the relations between the two spreading quantities and two scaling parameters. For any two reason...

  16. Principles of Mathematical Modeling Applied to Animal Science

    Directory of Open Access Journals (Sweden)

    Cosmin Nitu

    2010-05-01

    Full Text Available One of the characteristics by which we can estimate the stage of development of a certain discipline is its degree of mathematization. Thus, Galileo Galilei said that „The great book of nature can be read only by the one who knows the language in which this book was written and this language is the mathematics”. We understand by this the extent of interdisciplinary use of the mathematical ideas and techniques. It is obvious, from the viewpoint of the respective discipline, that a high degree of mathematization does not show a high intrinsic value. Situations exist in which important mathematical developments did not lead to progress in a certain discipline, such as the endowment with sophisticated equipment’s did not result implicitly in notable results. Truly important is the effective contribution and not the sophistication or elegance of the used mathematical instrument. A relatively simple mathematical idea can have an unexpected effect if used with skill. On the other hand, very elegant mathematical considerations may be of no use for the actual problems of that particular discipline.

  17. Mathematical principles of signal processing Fourier and wavelet analysis

    CERN Document Server

    Brémaud, Pierre

    2002-01-01

    Fourier analysis is one of the most useful tools in many applied sciences. The recent developments of wavelet analysis indicates that in spite of its long history and well-established applications, the field is still one of active research. This text bridges the gap between engineering and mathematics, providing a rigorously mathematical introduction of Fourier analysis, wavelet analysis and related mathematical methods, while emphasizing their uses in signal processing and other applications in communications engineering. The interplay between Fourier series and Fourier transforms is at the heart of signal processing, which is couched most naturally in terms of the Dirac delta function and Lebesgue integrals. The exposition is organized into four parts. The first is a discussion of one-dimensional Fourier theory, including the classical results on convergence and the Poisson sum formula. The second part is devoted to the mathematical foundations of signal processing - sampling, filtering, digital signal proc...

  18. GENERAL PRINCIPLES OF ADMINISTRATIVE SANCTIONS IN THE ROMANIAN LAW

    OpenAIRE

    2007-01-01

    The article is presenting a general description of the characteristics of administrative sanctions, as well as a comment on contraventions and the group of other administrative sanctions. Legislation that supports different principles is presented. Regarding contraventions, the principles that mirror the criminal origin of this category of sanctions are emphasized.

  19. Generalized principles of unchanging total concentration.

    Science.gov (United States)

    Kottke, Peter A; Fedorov, Andrei G

    2005-09-08

    We consider the transport of multiple reacting species under the continuum assumption in situations such as those that frequently arise in electroanalytical chemistry. Under certain limitations, it has been shown that the total species concentration (as defined by Oldham and Feldberg) of such a system is uniform and constant. In this work, we extend the limits of the previous analysis to enable greater applicability. This is accomplished by using either of two new dependent variables, which are generalizations of the concept of total concentration. Then, conditions are determined under which the dependent variable will be uniform and constant in time. From a practical viewpoint, the described formalism allows one to simplify the multispecies transport problem formulation by eliminating one equation from the system of governing equations.

  20. The Main General Didactical Principles of Glotoeducological Theory and Practice

    Directory of Open Access Journals (Sweden)

    Regina Juškienė

    2011-04-01

    Full Text Available As a pedagogical discipline glotoeducology is related to didactics, i. e. teaching theory. Three concepts of didactics are being distinguished: teaching, teaching principles and types of teaching activity. The authors limited themselves in their paper on one of them, namely: teaching principles that determine the usage of teaching regularities in the course of implementation of the objectives of teaching and education. The article also provides analysis of interaction of linguodidactical principles with general didactical principles, the impact thereof to teaching of foreign languages.

  1. Tetralogy of Fallot: General Principles of Management.

    Science.gov (United States)

    Downing, Tacy E; Kim, Yuli Y

    2015-11-01

    Repaired tetralogy of Fallot (TOF) is one of the most common diagnoses encountered when caring for adults with congenital heart disease. Although long-term survival after childhood TOF repair is excellent, morbidity is common and most patients require reintervention in adulthood. This review provides an overview of key surveillance and management issues for adults with TOF, including residual right ventricular outflow tract disease and timing of pulmonary valve replacement, arrhythmias and risk stratification, left-sided heart disease and heart failure, and pregnancy management. Copyright © 2015 Elsevier Inc. All rights reserved.

  2. Generalized Mathematical Model for Hot Rolling Process of Plate

    Institute of Scientific and Technical Information of China (English)

    Zhenshan CUI; Bingye XU

    2003-01-01

    A generalized mathematical model is developed to predict the changes of temperature, rolling pressure, strain,strain rate, and austenite grain size for plate hot rolling and cooling processes. The model is established mainly by incorporating analytical an

  3. Regulating food law : risk analysis and the precautionary principle as general principles of EU food law

    NARCIS (Netherlands)

    Szajkowska, A.

    2012-01-01

    In food law scientific evidence occupies a central position. This study offers a legal insight into risk analysis and the precautionary principle, positioned in the EU as general principles applicable to all food safety measures, both national and EU. It develops a new method of looking at these

  4. The general theory of relativity a mathematical exposition

    CERN Document Server

    Das, Anadijiban

    2012-01-01

     The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to: • tensor analysis • the special theory of relativity • the general theory of relativity and Einstein’s field equations • spherically symmetric solutions and experimental confirmations • static and stationary space-time domains • black holes • cosmological models • algebraic classifications and the Newman-Penrose equations • the coupled Einstein-Maxwell-Klein-Gordon equations • appendices covering mathematical supplements and special topics Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars. Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Irelan...

  5. Itch Management: General Principles.

    Science.gov (United States)

    Misery, Laurent

    2016-01-01

    Like pain, itch is a challenging condition that needs to be managed. Within this setting, the first principle of itch management is to get an appropriate diagnosis to perform an etiology-oriented therapy. In several cases it is not possible to treat the cause, the etiology is undetermined, there are several causes, or the etiological treatment is not effective enough to alleviate itch completely. This is also why there is need for symptomatic treatment. In all patients, psychological support and associated pragmatic measures might be helpful. General principles and guidelines are required, yet patient-centered individual care remains fundamental.

  6. General principles of carotid Doppler ultrasonography

    Energy Technology Data Exchange (ETDEWEB)

    Lee, Whal [Dept. of Radiology, Seoul National University College of Medicine, Seoul (Korea, Republic of)

    2014-03-15

    Carotid Doppler ultrasonography is a popular tool for evaluating atherosclerosis of the carotid artery. Its two-dimensional gray scale can be used for measuring the intima-media thickness, which is very good biomarker for atherosclerosis and can aid in plaque characterization. The plaque morphology is related to the risk of stroke. The ulceration of plaque is also known as one of the strong predictors of future embolic event risk. Color Doppler ultrasonography and pulse Doppler ultrasonography have been used for detecting carotid artery stenosis. Doppler ultrasonography has unique physical properties. The operator should be familiar with the physics and other parameters of Doppler ultrasonography to perform optimal Doppler ultrasonography studies.

  7. On Mathematical Aspects of Dual Variables in Continuum Mechanics. Part 1 : Mathematical Principles

    NARCIS (Netherlands)

    Giessen, E. van der; Kollmann, F.G.

    1996-01-01

    In this paper consisting of two parts we consider mathematical aspects of dual variables appearing in continuum mechanics. Tensor calculus on manifolds as introduced into continuum mechanics is used as a point of departure. This mathematical formalism leads to additional structure of continuum

  8. On Mathematical Aspects of Dual Variables in Continuum Mechanics. Part 1 : Mathematical Principles

    NARCIS (Netherlands)

    Giessen, E. van der; Kollmann, F.G.

    1996-01-01

    In this paper consisting of two parts we consider mathematical aspects of dual variables appearing in continuum mechanics. Tensor calculus on manifolds as introduced into continuum mechanics is used as a point of departure. This mathematical formalism leads to additional structure of continuum mecha

  9. Generalized invariance principles and the theory of stability.

    Science.gov (United States)

    Lasalle, J. P.

    1971-01-01

    Description of some recent extensions of the invariance principle to more generalized dynamical systems where the state space is not locally compact and the flow is unique only in the forward direction of time. A sufficient condition for asymptotic stability of an invariant set is obtained which does not require that the Liapunov function be positive-definite. A recently developed generalized invariance principle is described which is applicable to functional differential equations, partial differential equations, and, in particular, to certain stability problems arising in thermoelasticity, viscoelasticity, and distributed nonlinear networks.

  10. Generalized Tellegen Principle and Physical Correctness of System Representations

    Directory of Open Access Journals (Sweden)

    Vaclav Cerny

    2006-06-01

    Full Text Available The paper deals with a new problem of physical correctness detection in the area of strictly causal system representations. The proposed approach to the problem solution is based on generalization of Tellegen's theorem well known from electrical engineering. Consequently, mathematically as well as physically correct results are obtained. Some known and often used system representation structures are discussed from the developed point of view as an addition.

  11. Archimedes' Principle in General Coordinates

    Science.gov (United States)

    Ridgely, Charles T.

    2010-01-01

    Archimedes' principle is well known to state that a body submerged in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the body. Herein, Archimedes' principle is derived from first principles by using conservation of the stress-energy-momentum tensor in general coordinates. The resulting expression for the force is…

  12. Archimedes' Principle in General Coordinates

    Science.gov (United States)

    Ridgely, Charles T.

    2010-01-01

    Archimedes' principle is well known to state that a body submerged in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the body. Herein, Archimedes' principle is derived from first principles by using conservation of the stress-energy-momentum tensor in general coordinates. The resulting expression for the force is…

  13. Mathematical Formalism of Nonequilibrium Thermodynamics for Nonlinear Chemical Reaction Systems with General Rate Law

    Science.gov (United States)

    Ge, Hao; Qian, Hong

    2017-01-01

    This paper studies a mathematical formalism of nonequilibrium thermodynamics for chemical reaction models with N species, M reactions, and general rate law. We establish a mathematical basis for J. W. Gibbs' macroscopic chemical thermodynamics under G. N. Lewis' kinetic law of entire equilibrium (detailed balance in nonlinear chemical kinetics). In doing so, the equilibrium thermodynamics is then naturally generalized to nonequilibrium settings without detailed balance. The kinetic models are represented by a Markovian jumping process. A generalized macroscopic chemical free energy function and its associated balance equation with nonnegative source and sink are the major discoveries. The proof is based on the large deviation principle of this type of Markov processes. A general fluctuation dissipation theorem for stochastic reaction kinetics is also proved. The mathematical theory illustrates how a novel macroscopic dynamic law can emerges from the mesoscopic kinetics in a multi-scale system.

  14. Mathematical principles of predicting the probabilities of large earthquakes

    CERN Document Server

    Ghertzik, V M

    2009-01-01

    A multicomponent random process used as a model for the problem of space-time earthquake prediction; this allows us to develop consistent estimation for conditional probabilities of large earthquakes if the values of the predictor characterizing the seismicity prehistory are known. We introduce tools for assessing prediction efficiency, including a separate determination of efficiency for "time prediction" and "location prediction": a generalized correlation coefficient and the density of information gain. We suggest a technique for testing the predictor to decide whether the hypothesis of no prediction can be rejected.

  15. The Principles of Designing an Expert System in Teaching Mathematics

    Science.gov (United States)

    Salekhova, Lailya; Nurgaliev, Albert; Zaripova, Rinata; Khakimullina, Nailya

    2013-01-01

    This study reveals general didactic concepts of the Expert Systems (ES) development process in the educational area. The proof of concept is based on the example of teaching the 8th grade Algebra subject. The main contribution in this work is the implementation of innovative approaches in analysis and processing of data by expert system as well as…

  16. Generalized variational principles of three kinds of variables in general mechanic

    Institute of Scientific and Technical Information of China (English)

    2001-01-01

    In this paper, by using the involutory transformations, the stationary conditions of two kinds of variables are transformed into basic equations of three kinds of variables. According to the corresponding relations between general forces and general displacements, the basic equations are multiplied by corresponding virtual quantities, added algebraically, and then integrated with time. Thus, the generalized variational principles of three kinds of variables in holonomic systems and nonholonomic systems are established. As an example, the generalized variational principles are applied to elastodynamics. Finally, some related problems are discussed.

  17. A Historical Analysis of Primary Mathematics Curricula in Terms of Teaching Principles

    Science.gov (United States)

    Ozmantar, Mehmet Fatih

    2017-01-01

    This study carries out a comparative analysis of primary mathematics curricula put into practice during Turkish Republican period. The data for this study are composed of official curricula documents which are examined in terms of teaching principles. The study adopts a qualitative approach and employs document analysis method. The official…

  18. Principles of mathematical economics II solutions manual, supplementary materials and supplementary exercises

    CERN Document Server

    Vali, Shapoor

    2015-01-01

    This manual provides solutions to approximately 500 problems appeared in various chapters of the text Principles of Mathematical Economics. In some cases, a detailed solution with the additional discussion is provided. At the end of each chapter, new sets of exercises are given.

  19. Using Pontryagin maximum principle for parametrical identification of ship maneuvering mathematical model

    Directory of Open Access Journals (Sweden)

    Uri UDIN

    2014-06-01

    Full Text Available This article proposes usage of Pontryagin maximum principle for parametrical identification of mathematical vessel’s model. Proposed method has a special perspective for identification in real time mode, when the parameters identified can be used for forecasting of coming maneuvers.

  20. Generalized Uncertainty Principle and Analogue of Quantum Gravity in Optics

    CERN Document Server

    Braidotti, Maria Chiara; Conti, Claudio

    2016-01-01

    The design of optical systems capable of processing and manipulating ultra-short pulses and ultra-focused beams is highly challenging with far reaching fundamental technological applications. One key obstacle routinely encountered while implementing sub-wavelength optical schemes is how to overcome the limitations set by standard Fourier optics. A strategy to overcome these difficulties is to utilize the concept of generalized uncertainty principle (G-UP) that has been originally developed to study quantum gravity. In this paper we propose to use the concept of G-UP within the framework of optics to show that the generalized Schrodinger equation describing short pulses and ultra-focused beams predicts the existence of a minimal spatial or temporal scale which in turn implies the existence of maximally localized states. Using a Gaussian wavepacket with complex phase, we derive the corresponding generalized uncertainty relation and its maximally localized states. We numerically show that the presence of nonlin...

  1. Principle Generalized Net Model of a Human Stress Reaction

    Directory of Open Access Journals (Sweden)

    Anthony Shannon

    2008-04-01

    Full Text Available The present study was aimed at investigating the mechanism of a human stress reaction by means of Generalized Nets (GNs. A principle GN-model of the main structures, organs and systems of the human body taking part in the acute and chronic reaction of the organism to a stress stimulus is generated. A possible application of the GN-model of the human stress reaction for testing the effect of known or newly synthesized pharmacological products as well as of food supplements is discussed.

  2. The Perihelion Precession of Mercury and the Generalized Uncertainty Principle

    CERN Document Server

    Majumder, Barun

    2011-01-01

    Very recently authors in [1] proposed a new Generalized Uncertainty Principle (or GUP) with a linear term in Plank length. In this Letter the effect of this linear term is studied perturbatively in the context of Keplerian orbits. The angle by which the perihelion of the orbit revolves over a complete orbital cycle is computed. The result is applied in the context of the precession of the perihelion of Mercury. As a consequence we get a lower bound of the new intermediate length scale offered by the GUP which is approximately 40 orders of magnitude below Plank length.

  3. Effects of the Generalized Uncertainty Principle on Compact Stars

    CERN Document Server

    Ali, Ahmed Farag

    2013-01-01

    Based on the generalized uncertainty principle (GUP), proposed by some approaches to quantum gravity such as string theory and doubly special relativity theories, we investigate the effect of GUP on the thermodynamic properties of compact stars with two different components. We note that the existence of quantum gravity correction tends to resist the collapse of stars if the GUP parameter $\\alpha$ is taking values between Planck scale and electroweak scale. Comparing with approaches, it is found that the radii of compact stars are found smaller. Increasing energy almost exponentially decreases the radii of compact stars.

  4. On the $c$ equivalence principle and its relation to the weak equivalence principle of general relativity

    CERN Document Server

    Choy, T C

    2011-01-01

    We clarify the status of the $c$ equivalence principle ($c_u=c$) recently proposed by Heras et al \\cite{JoseAJP2010,JoseEJP2010} and show that its proposal leads to an extension of the current framework of classical relativistic electrodynamics (CRE). This is because in the MLT (mass, length and time) system of units, CRE theory can contain only one fundamental constant of nature and special relativity dictates that this must be $c$, the standard speed of light in vacuum, a point not sufficiently emphasized in most textbooks with the exception of a few such as Panofsky and Phillips \\cite{PanofskyPhillips}. The $c$ equivalence principle Heras \\cite{JoseAJP2010,JoseEJP2010} can be shown to be linked to the second postulate of special relativity which extends the constancy of the unique velocity of light to all of physics (especially to mechanics) other than electromagnetism. An interesting corollary is that both the weak equivalence principle of general relativity and the $c$ equivalence principle are in fact o...

  5. General Principles of Transnationalised Criminal Justice?
    Exploratory Reflections

    Directory of Open Access Journals (Sweden)

    Marianne L. Wade

    2013-09-01

    Full Text Available This article sets out to explore the premise of general principles in what is labelled transnationalised criminal justice (encompassing the substantive and procedural law as well as the institutions of transnational criminal law and European criminal law. Whilst there can be no denying that these are diverse and divergent areas of law in many ways, their fundamental common denominator of seeking to convict individuals whilst subjecting these to arrest, detention and deprivation of other rights across borders, is taken as a baseline around which certain general principles may gravitate. The current state of executive over-reach within transnationalised criminal justice structures is studied, particularly in relation to the European criminal justice context. This over-reach is explored utilising the theoretical framework of social contract theory. It is suggested that the transfer of investigative and prosecutorial powers to transnationalised contexts undertaken by the relevant executives without seeking to temper this assignment with mechanisms to secure the rights of individuals which counter-balance these, as required by the constitutional traditions of their country, can be regarded as in breach of the social contract. Using this thought experiment, this article provides a framework with which to identify the deficits of transnationalised criminal law.  The way in which such deficits undermine the legitimacy of the institutions created by states to operate the mechanisms of transnationalised criminal justice as well as the fundamental values of their own constitutions is, however, demonstrated as concrete. The latter are identified as mechanisms for deducing the general principles of transnationalised criminal justice (albeit via difficult international negotiation. If the supranationalisation of criminal justice powers is not to be regarded as a tool undermining constitutional values and effectively allowing executives acting in an

  6. General Principles of Transnationalised Criminal Justice?Exploratory Reflections

    Directory of Open Access Journals (Sweden)

    Marianne L. Wade

    2013-09-01

    Full Text Available This article sets out to explore the premise of general principles in what is labelled transnationalised criminal justice (encompassing the substantive and procedural law as well as the institutions of transnational criminal law and European criminal law. Whilst there can be no denying that these are diverse and divergent areas of law in many ways, their fundamental common denominator of seeking to convict individuals whilst subjecting these to arrest, detention and deprivation of other rights across borders, is taken as a baseline around which certain general principles may gravitate. The current state of executive over-reach within transnationalised criminal justice structures is studied, particularly in relation to the European criminal justice context. This over-reach is explored utilising the theoretical framework of social contract theory. It is suggested that the transfer of investigative and prosecutorial powers to transnationalised contexts undertaken by the relevant executives without seeking to temper this assignment with mechanisms to secure the rights of individuals which counter-balance these, as required by the constitutional traditions of their country, can be regarded as in breach of the social contract. Using this thought experiment, this article provides a framework with which to identify the deficits of transnationalised criminal law.  The way in which such deficits undermine the legitimacy of the institutions created by states to operate the mechanisms of transnationalised criminal justice as well as the fundamental values of their own constitutions is, however, demonstrated as concrete. The latter are identified as mechanisms for deducing the general principles of transnationalised criminal justice (albeit via difficult international negotiation. If the supranationalisation of criminal justice powers is not to be regarded as a tool undermining constitutional values and effectively allowing executives acting in an

  7. System principles, mathematical models and methods to ensure high reliability of safety systems

    Science.gov (United States)

    Zaslavskyi, V.

    2017-04-01

    Modern safety and security systems are composed of a large number of various components designed for detection, localization, tracking, collecting, and processing of information from the systems of monitoring, telemetry, control, etc. They are required to be highly reliable in a view to correctly perform data aggregation, processing and analysis for subsequent decision making support. On design and construction phases of the manufacturing of such systems a various types of components (elements, devices, and subsystems) are considered and used to ensure high reliability of signals detection, noise isolation, and erroneous commands reduction. When generating design solutions for highly reliable systems a number of restrictions and conditions such as types of components and various constrains on resources should be considered. Various types of components perform identical functions; however, they are implemented using diverse principles, approaches and have distinct technical and economic indicators such as cost or power consumption. The systematic use of different component types increases the probability of tasks performing and eliminates the common cause failure. We consider type-variety principle as an engineering principle of system analysis, mathematical models based on this principle, and algorithms for solving optimization problems of highly reliable safety and security systems design. Mathematical models are formalized in a class of two-level discrete optimization problems of large dimension. The proposed approach, mathematical models, algorithms can be used for problem solving of optimal redundancy on the basis of a variety of methods and control devices for fault and defects detection in technical systems, telecommunication networks, and energy systems.

  8. The most general form of deformation of the Heisenberg algebra from the generalized uncertainty principle

    Directory of Open Access Journals (Sweden)

    Syed Masood

    2016-12-01

    Full Text Available In this paper, we will propose the most general form of the deformation of Heisenberg algebra motivated by the generalized uncertainty principle. This deformation of the Heisenberg algebra will deform all quantum mechanical systems. The form of the generalized uncertainty principle used to motivate these results will be motivated by the space fractional quantum mechanics, and non-locality in quantum mechanical systems. We also analyse a specific limit of this generalized deformation for one dimensional system, and in that limit, a nonlocal deformation of the momentum operator generates a local deformation of all one dimensional quantum mechanical systems. We analyse the low energy effects of this deformation on a harmonic oscillator, Landau levels, Lamb shift, and potential barrier. We also demonstrate that this deformation leads to a discretization of space.

  9. The most general form of deformation of the Heisenberg algebra from the generalized uncertainty principle

    Science.gov (United States)

    Masood, Syed; Faizal, Mir; Zaz, Zaid; Ali, Ahmed Farag; Raza, Jamil; Shah, Mushtaq B.

    2016-12-01

    In this paper, we will propose the most general form of the deformation of Heisenberg algebra motivated by the generalized uncertainty principle. This deformation of the Heisenberg algebra will deform all quantum mechanical systems. The form of the generalized uncertainty principle used to motivate these results will be motivated by the space fractional quantum mechanics, and non-locality in quantum mechanical systems. We also analyse a specific limit of this generalized deformation for one dimensional system, and in that limit, a nonlocal deformation of the momentum operator generates a local deformation of all one dimensional quantum mechanical systems. We analyse the low energy effects of this deformation on a harmonic oscillator, Landau levels, Lamb shift, and potential barrier. We also demonstrate that this deformation leads to a discretization of space.

  10. The Most General Form of Deformation of the Heisenberg Algebra from the Generalized Uncertainty Principle

    CERN Document Server

    Masood, Syed; Zaz, Zaid; Ali, Ahmed Farag; Raza, Jamil; Shah, Mushtaq B

    2016-01-01

    In this paper, we will propose the most general form of the deformation of Heisenberg algebra motivated by the generalized uncertainty principle. This deformation of the Heisenberg algebra will deform all quantum mechanical systems. The form of the generalized uncertainty principle used to motivate these results will be motivated by space fractional quantum mechanics and non-locality in quantum mechanical systems. We also analyse a specific limit of this generalized deformation for one dimensional system, and in that limit, a nonlocal deformation of the momentum operator generates a local deformation of all one dimensional quantum mechanical systems. We analyse the low energy effects of this deformation on a harmonic oscillator, Landau levels, Lamb shift, and potential barrier. We also demonstrate that this deformation leads to a discretization of space.

  11. A mathematical structure of the separated variational principles of steady states for multi-forces and multi-currents

    Science.gov (United States)

    Okada, Kanzo

    2017-03-01

    Separated variational principles of steady states for multi-forces and multi-currents in transport phenomena were recently proposed by Suzuki (Suzuki, 2013) by extending the principle of minimum integrated entropy production for a single force found by the same author (Suzuki, 2013). On the other hand, in non-equilibrium thermodynamics, Edelen (Edelen, 1974) generalized the linear Onsager theory to those irreversible processes with significant thermodynamic forces by means of Onsager fluxes. Onsager fluxes by definition satisfy a nonlinear system of reciprocity relations, vanish in thermodynamic equilibrium, and satisfy the second law of thermodynamics. Each system of Onsager fluxes is derivable from a dissipation potential sometimes called the flux potential. This paper aims to elucidate a mathematical structure of the separated variational principles based on the above work of Edelen.

  12. Generalized Uncertainty Principle in the Presence of Extra Dimensions

    Institute of Scientific and Technical Information of China (English)

    MU Ben-Bong; WU Hou-Wen; YANG Hai-Tang

    2011-01-01

    @@ We argue that in the generalized uncertainty principle(GUP)model,the parameter β0 whose square root,minimal measurable length and extra dimensions are both suggested by quantum gravity theories,we investigate the models based on the GUP and one extra dimension,compactified with radius p.We obtain an inspiring quantum mechanics scale.We also estimate the application range of the GUP model.It turns out that the minimum measurable length is exactly the compactification radius of the extra dimension.%We argue that in the generalized uncertainty principle (GUP) model, the parameter 0o whose square root, multiplied by Planck length tv, approximates the minimum measurable distance, varies with energy scales. Since the minimal measurable length and extra dimensions are both suggested by quantum gravity theories, we investigate the models based on the GUP and one extra dimension, compactified with radius p. We obtain an inspiring relation βolp/p ~ 0(1). This relation is also consistent with the predictions at Planck scale and the usual quantum mechanics scale. We also estimate the application range of the GUP model. It turns out that the minimum measurable length is exactly the compactiScation radius of the extra dimension.

  13. [General principles of tumour biology in visceral surgery].

    Science.gov (United States)

    Emons, G; Ghadimi, M; Grade, M

    2015-02-01

    Within the last decade, there has been a tremendous progress in understanding the molecular basis of cancer. In particular, the development and the characteristic features of cancer cells are being increasingly understood. The understanding of these molecular characteristics is mandatory for the development of novel, targeted therapeutic strategies and their integration into clinical practice. In addition, tumour genetics play a critically important role for hereditary cancer syndromes, with respect to both diagnostics and clinical decision-making. The aim of this review is to highlight general principles of tumour genetics from a visceral surgeon's point of view, although a comprehensive summary of all aspects would be beyond the scope of this article due to the complexity of the topic. Georg Thieme Verlag KG Stuttgart · New York.

  14. Generalized uncertainty principle and analogue of quantum gravity in optics

    Science.gov (United States)

    Braidotti, Maria Chiara; Musslimani, Ziad H.; Conti, Claudio

    2017-01-01

    The design of optical systems capable of processing and manipulating ultra-short pulses and ultra-focused beams is highly challenging with far reaching fundamental technological applications. One key obstacle routinely encountered while implementing sub-wavelength optical schemes is how to overcome the limitations set by standard Fourier optics. A strategy to overcome these difficulties is to utilize the concept of a generalized uncertainty principle (G-UP) which has been originally developed to study quantum gravity. In this paper we propose to use the concept of G-UP within the framework of optics to show that the generalized Schrödinger equation describing short pulses and ultra-focused beams predicts the existence of a minimal spatial or temporal scale which in turn implies the existence of maximally localized states. Using a Gaussian wavepacket with complex phase, we derive the corresponding generalized uncertainty relation and its maximally localized states. Furthermore, we numerically show that the presence of nonlinearity helps the system to reach its maximal localization. Our results may trigger further theoretical and experimental tests for practical applications and analogues of fundamental physical theories.

  15. The application of brain-based learning principles aided by GeoGebra to improve mathematical representation ability

    Science.gov (United States)

    Priatna, Nanang

    2017-08-01

    The use of Information and Communication Technology (ICT) in mathematics instruction will help students in building conceptual understanding. One of the software products used in mathematics instruction is GeoGebra. The program enables simple visualization of complex geometric concepts and helps improve students' understanding of geometric concepts. Instruction applying brain-based learning principles is one oriented at the efforts of naturally empowering the brain potentials which enable students to build their own knowledge. One of the goals of mathematics instruction in school is to develop mathematical communication ability. Mathematical representation is regarded as a part of mathematical communication. It is a description, expression, symbolization, or modeling of mathematical ideas/concepts as an attempt of clarifying meanings or seeking for solutions to the problems encountered by students. The research aims to develop a learning model and teaching materials by applying the principles of brain-based learning aided by GeoGebra to improve junior high school students' mathematical representation ability. It adopted a quasi-experimental method with the non-randomized control group pretest-posttest design and the 2x3 factorial model. Based on analysis of the data, it is found that the increase in the mathematical representation ability of students who were treated with mathematics instruction applying the brain-based learning principles aided by GeoGebra was greater than the increase of the students given conventional instruction, both as a whole and based on the categories of students' initial mathematical ability.

  16. Mathematical model and general laws of wet compression

    Institute of Scientific and Technical Information of China (English)

    王永青; 刘铭; 廉乐明; 何健勇; 严家騄

    2002-01-01

    Wet compression is an effective way to enhance the performance of gas turbines and it has attracted a good deal of attention in recent years. The one-sidedness and inaccuracy of previous studies,which took concentration gradient as mass transfer potential are discussed. The mass transfer process is analyzed from the viewpoint of non-equilibrium thermodynamics,by taking generalized thermodynamic driving force as mass transfer potential,and the corresponding mass-transfer coefficient is obtained using the heat and mass transfer equilibrium occurring between moist air and water droplets at wet-bulb temperature for the sake of avoiding complex tests and providing more accurate formulas. A mathematical model of wet compression is therefore established,and the general laws of wet compression are investigated. The results show that the performance of atomizer is critical for wet compression and wet compression is more suitable for compressors with higher pressure ratio and longer compression time.

  17. The General Principles of EU Administrative Law - An in-depth analysis

    OpenAIRE

    2015-01-01

    SUMMARY: 1. What are General Principles of EU Administrative Procedural Law? — 1.1. Sources of General Principles of EU Administrative Procedural Law. — 1.2. Nature of general principles of EU administrative procedural law. — 2. Why Formulate General Principles of EU Administrative Procedural Law as Recitals of a Regulation? — 2.1. Reasons in favour of recitals as a locus for general principles. — 2.2. Structure and wording of recitals. — 3. Proposed Recitals on General Princip...

  18. The Passive Personality Principle and the General Principle of Ne Bis In Idem

    Directory of Open Access Journals (Sweden)

    Regula Echle

    2013-09-01

    Full Text Available This paper demonstrates the interest which a victim of a transnational crime may have in moving proceedings across the border. It also considers the means with which this can be done. By virtue of the passive personality principle, a Swiss victim can move proceedings back to Switzerland for a civil claim which would not otherwise have a forum in Switzerland. Further, it is suggested that there is a conflict between the passive personality principle and the prohibition of double jeopardy. This paper argues for a restrictive interpretation of the passive personality principle  and a broadening of the principle of ne bis in idem.

  19. Generalized Quantum Theory and Mathematical Foundations of Quantum Field Theory

    Science.gov (United States)

    Maroun, Michael Anthony

    This dissertation is divided into two main topics. The first is the generalization of quantum dynamics when the Schrodinger partial differential equation is not defined even in the weak mathematical sense because the potential function itself is a distribution in the spatial variable, the same variable that is used to define the kinetic energy operator, i.e. the Laplace operator. The procedure is an extension and broadening of the distributional calculus and offers spectral results as an alternative to the only other two known methods to date, namely a) the functional calculi; and b) non-standard analysis. Furthermore, the generalizations of quantum dynamics presented within give a resolution to the time asymmetry paradox created by multi-particle quantum mechanics due to the time evolution still being unitary. A consequence is the randomization of phases needed for the fundamental justification Pauli master equation. The second topic is foundations of the quantum theory of fields. The title is phrased as ``foundations'' to emphasize that there is no claim of uniqueness but rather a proposal is put forth, which is markedly different than that of constructive or axiomatic field theory. In particular, the space of fields is defined as a space of generalized functions with involutive symmetry maps (the CPT invariance) that affect the topology of the field space. The space of quantum fields is then endowed the Frechet property and interactions change the topology in such a way as to cause some field spaces to be incompatible with others. This is seen in the consequences of the Haag theorem. Various examples and discussions are given that elucidate a new view of the quantum theory of fields and its (lack of) mathematical structure.

  20. 29 CFR 2.11 - General principles.

    Science.gov (United States)

    2010-07-01

    ... 29 Labor 1 2010-07-01 2010-07-01 true General principles. 2.11 Section 2.11 Labor Office of the Secretary of Labor GENERAL REGULATIONS Audiovisual Coverage of Administrative Hearings § 2.11 General principles. The following general principles will be observed in granting or denying requests for...

  1. Modeling of space environment impact on nanostructured materials. General principles

    Science.gov (United States)

    Voronina, Ekaterina; Novikov, Lev

    2016-07-01

    In accordance with the resolution of ISO TC20/SC14 WG4/WG6 joint meeting, Technical Specification (TS) 'Modeling of space environment impact on nanostructured materials. General principles' which describes computer simulation methods of space environment impact on nanostructured materials is being prepared. Nanomaterials surpass traditional materials for space applications in many aspects due to their unique properties associated with nanoscale size of their constituents. This superiority in mechanical, thermal, electrical and optical properties will evidently inspire a wide range of applications in the next generation spacecraft intended for the long-term (~15-20 years) operation in near-Earth orbits and the automatic and manned interplanetary missions. Currently, ISO activity on developing standards concerning different issues of nanomaterials manufacturing and applications is high enough. Most such standards are related to production and characterization of nanostructures, however there is no ISO documents concerning nanomaterials behavior in different environmental conditions, including the space environment. The given TS deals with the peculiarities of the space environment impact on nanostructured materials (i.e. materials with structured objects which size in at least one dimension lies within 1-100 nm). The basic purpose of the document is the general description of the methodology of applying computer simulation methods which relate to different space and time scale to modeling processes occurring in nanostructured materials under the space environment impact. This document will emphasize the necessity of applying multiscale simulation approach and present the recommendations for the choice of the most appropriate methods (or a group of methods) for computer modeling of various processes that can occur in nanostructured materials under the influence of different space environment components. In addition, TS includes the description of possible

  2. Horizon Quantum Mechanics of Generalized Uncertainty Principle Black Holes

    CERN Document Server

    Manfredi, Luciano

    2016-01-01

    We study the Horizon Wavefunction (HWF) description of a generalized uncertainty principle inspired metric that admits sub-Planckian black holes, where the black hole mass $m$ is replaced by $M = m\\left( 1 + \\frac{\\beta}{2} \\frac{M_{\\rm Pl}^2}{m^2} \\right)$. Considering the case of a wave-packet shaped by a Gaussian distribution, we compute the HWF and the probability ${\\cal {P}}_{BH}$ that the source is a (quantum) black hole, i.e., that it lies within its horizon radius. The case $\\beta0$, where a minimum in ${\\cal {P}}_{BH}$ is encountered, thus meaning that every particle has some probability of decaying to a black hole. Furthermore, for sufficiently large $\\beta$ we find that every particle is a quantum black hole, in agreement with the intuitive effect of increasing $\\beta$, which creates larger $M$ and $R_{H}$ terms. This is likely due to a "dimensional reduction" feature of the model, where the black hole characteristics for sub-Planckian black holes mimic those in $(1+1)$-dimensions and the horizon s...

  3. Horizon Wavefunction of Generalized Uncertainty Principle Black Holes

    Directory of Open Access Journals (Sweden)

    Luciano Manfredi

    2016-01-01

    Full Text Available We study the Horizon Wavefunction (HWF description of a Generalized Uncertainty Principle inspired metric that admits sub-Planckian black holes, where the black hole mass m is replaced by M=m1+β/2MPl2/m2. Considering the case of a wave-packet shaped by a Gaussian distribution, we compute the HWF and the probability PBH that the source is a (quantum black hole, that is, that it lies within its horizon radius. The case β0, where a minimum in PBH is encountered, thus meaning that every particle has some probability of decaying to a black hole. Furthermore, for sufficiently large β we find that every particle is a quantum black hole, in agreement with the intuitive effect of increasing β, which creates larger M and RH terms. This is likely due to a “dimensional reduction” feature of the model, where the black hole characteristics for sub-Planckian black holes mimic those in (1+1 dimensions and the horizon size grows as RH~M-1.

  4. 75 FR 10205 - Codex Alimentarius Commission: Meeting of the Codex Committee on General Principles

    Science.gov (United States)

    2010-03-05

    ...-0002] Codex Alimentarius Commission: Meeting of the Codex Committee on General Principles AGENCY... Committee on General Principles (CCGP) of the Codex Alimentarius Commission (Codex), which will be held in... establishment of principles which define the purpose and scope of the Codex and the nature of Codex...

  5. 77 FR 7125 - Codex Alimentarius Commission: Meeting of the Codex Committee on General Principles

    Science.gov (United States)

    2012-02-10

    ... General Principles AGENCY: Office of the Under Secretary for Food Safety, USDA. ACTION: Notice of public... Principles (CCGP) of the Codex Alimentarius Commission (Codex), which will be held in Paris, France, April...

  6. Investigation of the blood behaviour and vascular diseases by using mathematical physic principles

    Science.gov (United States)

    Yardimci, Ahmet; Simsek, Buket

    2017-07-01

    In this paper we prepare a short survey for using of mathematical physic principles in blood flow and vascular diseases researches. The study of the behavior of blood flow in the blood vessels provides understanding on connection between flow and the development of dieseases such as atherosclerosis, thrombosis, aneurysms etc. and how the flow dynamics is changed under these conditions. Blood flow phenomena are often too complex that it would be possible to describe them entirely analytically, although simple models, such as Poiseuille model, can still provide some insight into blood flow. Blood is not an "ideal fluid" and energy is lost as flowing blood overcomes resistance. Resistance to blood flow is a function of viscosity, vessel radius, and vessel length. So, mathematical Physic principles are useful tools for blood flow research studies. Blood flow is a function of pressure gradient and resistance and resistance to flow can be estimates using Poiseuille's law. Reynold's number can be used to determine whether flow is laminar or turbulent.

  7. Public Governance Principles in General Education School Management of Latvia

    OpenAIRE

    Rečs, Normunds

    2015-01-01

    In contemporary world the effect of globalisation and information technologies cause transformational processes of states` public management that promote the application of new managament approaches and principles in public institution management.The changes in the public managament have effected and still effects processes of management also in education. The increase of school autonomy, a stronger focus on the process of education and its results created the need to expand the application o...

  8. FROM THE HISTORY OF PHYSICS: Tricentenary of Isaac Newton's "Mathematical Principles of Natural Philosophy"

    Science.gov (United States)

    Ginzburg, Vitalii L.

    1987-01-01

    The first edition of Newton's "Philosophiae Naturalis Principia Mathematica" was published in 1687. The present paper is dedicated to the tricentenary of this event, which is important not just in the history of physics, but of science generally. After the Introduction, the paper continues with the following Sections: Before Newton, Principia, Principia and the method of principles, The nature of gravitation, Critique of Newtonian mechanics and its subsequent development, On Newton, Concluding remarks.

  9. General principles in the interpretation of quantum mechanics

    CERN Document Server

    Blood, Casey

    2009-01-01

    The three major theoretical principles of quantum mechanics relevant to its interpretation are: (T1), linearity; (T2), invariance under certain groups; and (T3) the orthogonality and isolation of the different branches of the state vector. These three imply the particle-like properties of mass, energy, momentum, spin, charge, and locality are actually properties of the state vector; and this in turn implies there is no evidence for the existence of particles. Experimentally there is no evidence for collapse (E1) and theoretically linearity prohibits collapse. One also has the experimentally verified probability law (E2), which is found to rule out the many-worlds interpretation. The failure of these three major interpretation, particles, collapse, and many-worlds, apparently implies an acceptable interpretation must be based on perception. Rather than being a separate principle, probability follows in this interpretation from a weak assumption on perception plus the combinatorics when an experiment is run man...

  10. Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle

    CERN Document Server

    Pezzaglia, W M

    1996-01-01

    The automorphism invariant theory of Crawford[J. Math. Phys. 35, 2701 (1994)] has show great promise, however its application is limited by the paradigm to the domain of spin space. Our conjecture is that there is a broader principle at work which applies even to classical physics. Specifically, the laws of physics should be invariant under polydimensional transformations which reshuffle the geometry (e.g. exchanges vectors for trivectors) but preserves the algebra. To complete the symmetry, it follows that the laws of physics must be themselves polydimensional, having scalar, vector, bivector etc. parts in one multivector equation. Clifford algebra is the natural language in which to formulate this principle, as vectors/tensors were for relativity. This allows for a new treatment of the relativistic spinning particle (the Papapetrou equations) which is problematic in standard theory. In curved space the rank of the geometry will change under parallel transport, yielding a new basis for Weyl's connection and ...

  11. General proof of entropy principle in Einstein-Maxwell theory

    CERN Document Server

    Fang, Xiongjun

    2015-01-01

    We consider a static self-gravitating charged perfect fluid system in the Einstein-Maxwell theory. Assume Maxwell's equation and the Einstein constraint equation are satisfied, and the temperature of the fluid obeys Tolman's law. Then we prove that the total entropy of the fluid achieves an extremum implies other components of Einstein's equation for any variations of metric and electrical potential with fixed boundary values. Conversely, if Einstein's equation and Maxwell's equations hold, the total entropy achieves an extremum. Our work suggests that the maximum entropy principle is consistent with Einstein's equation when electric field is taken into account.

  12. 29 CFR 1604.1 - General principles.

    Science.gov (United States)

    2010-07-01

    ... 29 Labor 4 2010-07-01 2010-07-01 false General principles. 1604.1 Section 1604.1 Labor Regulations... OF SEX § 1604.1 General principles. (a) References to “employer” or “employers” in this part 1604 state principles that are applicable not only to employers but also to labor organizations and...

  13. 20 CFR 401.140 - General principles.

    Science.gov (United States)

    2010-04-01

    ... 20 Employees' Benefits 2 2010-04-01 2010-04-01 false General principles. 401.140 Section 401.140... INFORMATION Disclosure of Official Records and Information § 401.140 General principles. When no law... follow FOIA principles to resolve that question. We do this to insure uniform treatment in all...

  14. Real processing II: Extremal principles of irreversible thermodynamics, relations, generalizations and time dependence

    Science.gov (United States)

    Reiser, Bernhard

    We start presenting the extremal principles we will consider: The Statement of Helmholtz 1868 and Rayleigh (SHR) 1913, generalized by Reiser 1996, the Statement of Kelvin (SK) 1849, the Principle of Minimal Entropy Production (PME) of Prigogine 1947 for linear processes, that of Prigogine and Glansdorff 1954 for non-linear processes and finally, the Principle of Maximal Entropy (MEF) of Jaynes, 1957. First we show the relation between SHR and SK. This is a particular example for the property of Irreversible Thermodynamics (TIP) to treat all kinds of movements of fluids, compounds or any type of energy under the engineering term loss, or accurately spoken, entropy production. This possibility to treat different physical effects in the same manner causes by its simplification, considerable economical advantages of treating processes in the frame of TIP. For example, whereas a balance like the momentum balance (Navier-Stokes equation) has to distinguish between inertial, viscous or pressure effects, the PME treats the movements these effects cause with one term, and no pressure coupling or non-linearity is enclosed. Then we generalize the SK from potential velocity fields to general ones and show that it fits into the MEF. We continue with the generalization of the SHR from 1996 to compressible and non-Newtonian fluids. Further, we notice that these principles hold for time-dependent (non-stationary) processes. Therefore, the general fluid dynamical part of the PME 1947 can be generalized from stationary to time-dependent processes. We show that this is possible not only for velocity fields but also for scalar fields using as an example, the temperature in the case of heat conduction. We see that scalar fields need a transformation well known in mathematics. Comparing the PME 1954 with the completely generalized SHR we see that it holds also for non-linear processes. The same holds for the generalized SK. We close the consideration of extremal principles with the

  15. What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?

    Energy Technology Data Exchange (ETDEWEB)

    Benilov, M S [Departamento de Fisica, Universidade da Madeira, Largo do MunicIpio, 9000 Funchal (Portugal); Naidis, G V [Joint Institute for High Temperatures of the Russian Academy of Sciences, Izhorskaya 13/19, Moscow 125412 (Russian Federation)

    2010-05-05

    It is shown that Steenbeck's principle of minimum power, or voltage, for discharges with fixed current is not a corollary of the principle of minimum entropy production, in contrast to what is frequently assumed; besides, the latter principle itself does not provide a reasonable approximation in gas discharge physics. Similarly, Steenbeck's principle is not a corollary of mathematical models of gas discharges. Hence, this principle contradicts the mathematical models. A methodically correct evaluation of the error caused by the use of Steenbeck's principle requires a comparison of a solution obtained with the use of this principle with an exact solution to the same problem, rather than with experimental results or results deemed reasonable from the point of view of common sense. Such a comparison is performed for two examples from the theory of a cylindrical arc column. The examples show that the error incurred by the usage of Steenbeck's principle is uncontrollable and may be unacceptably high.

  16. Speed of Information Processing in Generally Gifted and Excelling-in-Mathematics Adolescents

    Science.gov (United States)

    Paz-Baruch, N.; Leikin, M.; Aharon-Peretz, J.; Leikin, R.

    2014-01-01

    A considerable amount of recent evidence suggests that speed of information processing (SIP) may be related to general giftedness as well as contributing to higher mathematical ability. To date, no study has examined SIP associated with both general giftedness (G) and excellence in mathematics (EM). This paper presents a part of more extensive…

  17. Principle and mathematical method for inverting stress state of a medium from the remote sensing data

    Institute of Scientific and Technical Information of China (English)

    尹京苑; 邓明德; 钱家栋; 房宗绯; 赵宝宗; 刘晓琳

    2003-01-01

    It has been proved through experiments that the electromagnetic radiation energy of a substance will vary when stress acts on the substance. This moment, the electromagnetic radiation energy (observation value) received by the remote sensor is triggered not only by the substance temperature and also by the stress. Separating quantitatively these two kinds of electromagnetic radiation energy and then inversing the actual temperature state and stress state of a medium is a matter with practical significance in earthquake prediction and stability monitoring for the large-scale geotechnical engineering. In this paper the principle and the mathematical method for inversing stress by using multiband remote sensing data are discussed in detail. A calculation example is listed.

  18. Principle of reciprocity solves the most important problems in bioimpedance and in general in bioelectromagnetism

    Science.gov (United States)

    Malmivuo, Jaakko

    2010-04-01

    Though the principle of reciprocity was invented by Hermann von Helmholtz already over 150 years ago, and though it is a very powerful tool in solving various important problems in bioelectromagnetism, it is not generally used. In impedance tomography the measurement sensitivity distribution has generally been misunderstood. This can be easily demonstrated with the principle of reciprocity. Some other applications of the principle of reciprocity are also discussed.

  19. Courses on the Beauty of Mathematics: Our Version of General Education Mathematics Courses

    Science.gov (United States)

    Rash, Agnes M.; Fillebrown, Sandra

    2016-01-01

    This article describes various courses designed to incorporate mathematical proofs into courses for non-math and non-science majors. These courses, nicknamed "math beauty" courses, are designed to discuss one topic in-depth rather than to introduce many topics at a superficial level. A variety of courses, each requiring students to…

  20. Mathematical Articles for the general public

    DEFF Research Database (Denmark)

    Hansen, Vagn Lundsgaard

    2003-01-01

    Report on an article competition for mathematical articles addressing the general public arranged by the European Mathematical Society.......Report on an article competition for mathematical articles addressing the general public arranged by the European Mathematical Society....

  1. Mathematical Articles for the general public

    DEFF Research Database (Denmark)

    Hansen, Vagn Lundsgaard

    2003-01-01

    Report on an article competition for mathematical articles addressing the general public arranged by the European Mathematical Society.......Report on an article competition for mathematical articles addressing the general public arranged by the European Mathematical Society....

  2. GENERALIZED VARIATIONAL PRINCIPLES OF THE VISCOELASTIC BODY WITH VOIDS AND THEIR APPLICATIONS

    Institute of Scientific and Technical Information of China (English)

    盛东发; 程昌钧; 扶名福

    2004-01-01

    From the Boltzmann's constitutive law of viscoelastic materials and the linear theory of elastic materials with voids, a constitutive model of generalized force fields for viscoelastic solids with voids was given. By using the variational integral method, the convolution-type functional was given and the corresponding generalized variational principles and potential energy principle of viscoelastic solids with voids were presented. It can be shown that the variational principles correspond to the differential equations and the initial and boundary conditions of viscoelastic body with voids. As an application, a generalized variational principle of viscoelastic Timoshenko beams with damage was obtained which corresponds to the differential equations of generalized motion and the initial and boundary conditions of beams. The variational principles provide a way for solving problems of viscoelastic solids with voids.

  3. STUDY OF THE EQUIVALENT THEOREM OF GENERALIZED VARIATIONAL PRINCIPLES IN ELASTICITY

    Institute of Scientific and Technical Information of China (English)

    张国清; 余建星

    2004-01-01

    The relations of all generalized variational principles in elasticity are studied by employing the invariance theorem of field theory. The infinitesimal scale transformation in field theory was employed to investigate the equivalent theorem. Among the results found particularly interesting are those related to that all generalized variational principles in elasticity are equal to each other. Also studied result is that only two variables are independent in the functional and the stress-strain relation is the variational constraint condition for all generalized variational principles in elasticity. This work has proven again the conclusion of Prof. Chien Wei-zang.

  4. Review on Generalized Uncertainty Principle

    CERN Document Server

    Tawfik, Abdel Nasser

    2015-01-01

    Based on string theory, black hole physics, doubly special relativity and some "thought" experiments, minimal distance and/or maximum momentum are proposed. As alternatives to the generalized uncertainty principle (GUP), the modified dispersion relation, the space noncommutativity, the Lorentz invariance violation, and the quantum-gravity-induced birefringence effects are summarized. The origin of minimal measurable quantities and the different GUP approaches are reviewed and the corresponding observations are analysed. Bounds on the GUP parameter are discussed and implemented in understanding recent PLANCK observations on the cosmic inflation. The higher-order GUP approaches predict minimal length uncertainty with and without maximum momenta.

  5. Remembering Zoltan Dienes, a Maverick of Mathematics Teaching and Learning: Applying the Variability Principles to Teach Algebra

    Science.gov (United States)

    Gningue, Serigne Mbaye

    2016-01-01

    This paper is written in honor of Zoltan Paul Dienes, an internationally renowned mathematician and educator, who passed away in January 2014. It is an attempt to describe, analyze and apply Dienes' theory on how mathematical structures can be taught by applying his four principles of learning upon which he believed a teacher can base concept…

  6. General principles of medical interconsultation for hospitalised patients.

    Science.gov (United States)

    Monte-Secades, R; Montero-Ruiz, E; Gil-Díaz, A; Castiella-Herrero, J

    2016-01-01

    Medical interconsultation for hospitalised patients is a regular activity among internal medicine specialists. However, despite its growing impact and importance, a model that defines its characteristics, objectives and information has not been established. This study, conducted by the Shared Care and Interconsultations Group of the Spanish Society of Internal Medicine, proposes a number of general recommendations concerning the method for requesting and responding to hospital medical interconsultations, as well as a format for these interconsultations. Copyright © 2015 Elsevier España, S.L.U. y Sociedad Española de Medicina Interna (SEMI). All rights reserved.

  7. Secondary Teacher Attitudes toward the Inclusion of Students with Learning Disabilities in the General Mathematics Classroom

    Science.gov (United States)

    Lindsey, Jacqueline

    2012-01-01

    The primary focus of this study was to examine the attitudes of the secondary mathematics teachers toward the inclusion of students with learning disabilities in the general mathematics classroom. Specifically, this study was concerned with the influence of selected demographic variables and school variables on the attitudes of secondary…

  8. Generalized Uncertainty Principle and Angular Momentum

    CERN Document Server

    Bosso, Pasquale

    2016-01-01

    Various models of quantum gravity suggest a modification of the Heisenberg's Uncertainty Principle, to the so-called Generalized Uncertainty Principle, between position and momentum. In this work we show how this modification influences the theory of angular momentum in Quantum Mechanics. In particular, we compute Planck scale corrections to angular momentum eigenvalues, the Hydrogen atom spectrum, the Stern-Gerlach experiment and the Clebsch-Gordan coefficients. We also examine effects of the Generalized Uncertainty Principle on multi-particle systems.

  9. 39 CFR 268.1 - General principles.

    Science.gov (United States)

    2010-07-01

    ... 39 Postal Service 1 2010-07-01 2010-07-01 false General principles. 268.1 Section 268.1 Postal Service UNITED STATES POSTAL SERVICE ORGANIZATION AND ADMINISTRATION PRIVACY OF INFORMATION-EMPLOYEE RULES OF CONDUCT § 268.1 General principles. In order to conduct its business, the Postal Service has...

  10. 23 CFR 660.509 - General principles.

    Science.gov (United States)

    2010-04-01

    ... 23 Highways 1 2010-04-01 2010-04-01 false General principles. 660.509 Section 660.509 Highways FEDERAL HIGHWAY ADMINISTRATION, DEPARTMENT OF TRANSPORTATION ENGINEERING AND TRAFFIC OPERATIONS SPECIAL PROGRAMS (DIRECT FEDERAL) Defense Access Roads § 660.509 General principles. (a) State and local...

  11. Mathematics education for low-achieving students : Effects of different instructional principles on multiplication learning

    NARCIS (Netherlands)

    Kroesbergen, E.H.

    2002-01-01

    This dissertation contains a number of articles reporting on research on instruction for students who have difficulties learning mathematics. The focus lies on the kind of instruction that these students need to adequately master the mathematics skills required by the elementary school curriculum.

  12. Mathematics education for low-achieving students : Effects of different instructional principles on multiplication learning

    NARCIS (Netherlands)

    Kroesbergen, E.H.

    2003-01-01

    This dissertation contains a number of articles reporting on research on instruction for students who have difficulties learning mathematics. The focus lies on the kind of instruction that these students need to adequately master the mathematics skills required by the elementary school curriculum. R

  13. Teaching and assessment of mathematical principles for software correctness using a reasoning concept inventory

    Science.gov (United States)

    Drachova-Strang, Svetlana V.

    As computing becomes ubiquitous, software correctness has a fundamental role in ensuring the safety and security of the systems we build. To design and develop software correctly according to their formal contracts, CS students, the future software practitioners, need to learn a critical set of skills that are necessary and sufficient for reasoning about software correctness. This dissertation presents a systematic approach to both introducing these reasoning skills into the curriculum, and assessing how well the students have learned them. Specifically, it introduces a comprehensive Reasoning Concept Inventory (RCI) that captures the fine details of basic reasoning skills that are ideally learned across the undergraduate curriculum to reason about software correctness, to develop high quality software, and to understand why software works as specified. The RCI forms the basis for developing learning outcomes that help educators to assess the adequacy of current techniques and pinpoint necessary improvements. This dissertation contains results from experimentation and assessment over the past few years in multiple CS courses. The results show that the finer principles of mathematical reasoning of software correctness can be taught effectively and continuously improved with the help of the RCI using suitable teaching practices, and supporting methods and tools.

  14. Endocrine Disruptor Screening Program (EDSP) Universe of Chemicals and General Validation Principles

    Science.gov (United States)

    This document was developed by the EPA to provide guidance to staff and managers regarding the EDSP universe of chemicals and general validation principles for consideration of computational toxicology tools for chemical prioritization.

  15. Principles of General Systems Theory: Some Implications for Higher Education Administration

    Science.gov (United States)

    Gilliland, Martha W.; Gilliland, J. Richard

    1978-01-01

    Three principles of general systems theory are presented and systems theory is distinguished from systems analysis. The principles state that all systems tend to become more disorderly, that they must be diverse in order to be stable, and that only those maximizing their resource utilization for doing useful work will survive. (Author/LBH)

  16. The generalized quasi-variational principles of non-conservative systems with two kinds of variables

    Institute of Scientific and Technical Information of China (English)

    LIANG; Lifu; LIU; Diankui; SONG; Haiyan

    2005-01-01

    According to the corresponding relations between general forces and general displacements, the balancing and geometrical equations of elasticity are multiplied by the corresponding virtual quantities, integrated with volume and area, and then added algebraically. Proceeding to the next step, by substituting constitutive relation and considering that body force and surface force are both fellow forces, the generalized quasi-variational principles with the two kinds of variables of the first type are established in non-conservative systems. Through substituting another constitutive relation, using similar methods as above, the generalized quasi-variational principles with the two kinds of variables of the second type are established in non-conservative systems. By using the generalized quasi-complementary energy principles with the two kinds of variables of the first type, a method for solving two kinds of variables (internal force and deformation) is given for non-conservative systems of the typical fellow forces.

  17. Principles of Fourier analysis

    CERN Document Server

    Howell, Kenneth B

    2001-01-01

    Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need a practical and mathematically solid introduction to its principles. They need straightforward verifications of its results and formulas, and they need clear indications of the limitations of those results and formulas.Principles of Fourier Analysis furnishes all this and more. It provides a comprehensive overview of the mathematical theory of Fourier analysis, including the development of Fourier series, "classical" Fourier transforms, generalized Fourier transforms and analysis, and the discrete theory. Much of the author''s development is strikingly different from typical presentations. His approach to defining the classical Fourier transform results in a much cleaner, more coherent theory that leads naturally to a starting point for the generalized theory. He also introduces a new generalized theory based ...

  18. General principles of researching the lexicon of traditional material culture

    Directory of Open Access Journals (Sweden)

    Nedeljkov Ljiljana

    2009-01-01

    Full Text Available The paper discusses a linguistic research of terminological systems connected with basic fields of human life and work which, in modern conditions, are either transformed into contemporary modern forms or gradually disappear due to changes in the way of life and work. The lexicon of material culture of native inhabitants of Vojvodina is examined, resulting in monographs on the terminologies of fishing, cartwrighting, shepherding and houses and furniture, all of which have in common the fact that the starting point was the research of the lexicon in question by semantic fields. The paper shows the lexicological and lexicographical procedures used while researching these terminological systems.

  19. Derivation of a general three-dimensional crack-propagation law: A generalization of the principle of local symmetry

    DEFF Research Database (Denmark)

    Hodgdon, Jennifer A.; Sethna, James P.

    1993-01-01

    We derive a general crack-propagation law for slow brittle cracking, in two and three dimensions, using discrete symmetries, gauge invariance, and gradient expansions. Our derivation provides explicit justification for the ‘‘principle of local symmetry,’’ which has been used extensively to describe...

  20. PRINCIPLES OF DEVELOPMENT MATHEMATICAL MODEL FOR RESEARCHING OF NONPULSATILE FLOW PUMP AND CARDIAC SYSTEM

    Directory of Open Access Journals (Sweden)

    I. V. Bykov

    2013-01-01

    Full Text Available Aim. The presented research uncovers the using of mathematical modeling methods for cardio-vascular system and axial blood pump interaction analysis under heart failure with combined valve pathology. The research will pro- vide data for automated pump control algorithm synthesis. Materials and methods. Mathematical model is build up by using experiments results from mock cardio-vascular circulation loop and mathematical representation of Newtonian fluid dynamics in pulsing circulation loop. The model implemented in modeling environment Simulink (Matlab. Results. Authors implemented mathematical model which describe cardio-vascular system and left-ven- tricular assistive device interaction for intact conditions. Values of parameters for intact conditions were acquired in the experiments on animals with implanted axial pump, experiments were conducted in FRCTAO. The model was verified by comparison of instantaneous blood flowrate values in experiments and in model. Conclusion. The paper present implemented mathematical model of cardio-vascular system and axial pump interaction for intact conditions, where the pump connected between left ventricle and aorta. In the next part of research authors will use the presented model to evaluate using the biotechnical system in conditions of heart failure and valve pathology. 

  1. NEW PRINCIPLES OF POWER AND ENERGY RATE OF INCREMENTAL RATE TYPE FOR GENERALIZED CONTINUUM FIELD THEORIES

    Institute of Scientific and Technical Information of China (English)

    戴天民

    2001-01-01

    The aim of this paper is to establish new principles of power and energy rate of incremental type in generalized continuum mechanics. By combining new principles of virtual velocity and virtual angular velocity as well as of virtual stress and virtual couple stress with cross terms of incremental rate type a new principle of power and energy rate of incremental rate type with cross terms for micropolar continuum field theories is presented and from it all corresponding equations of motion and boundary conditions as well as power and energy rate equations of incremental rate type for micropolar and nonlocal micropolar continua with the help of generalized Piola's theorems in all and without any additional requirement are derived. Complete results for micromorphic continua could be similarly derived. The derived results in the present paper are believed to be new. They could be used to establish corresponding finite element methods of incremental rate type for generalized continuum mechanics.

  2. Dynamical principles of emotion-cognition interaction: mathematical images of mental disorders.

    Directory of Open Access Journals (Sweden)

    Mikhail I Rabinovich

    Full Text Available The key contribution of this work is to introduce a mathematical framework to understand self-organized dynamics in the brain that can explain certain aspects of itinerant behavior. Specifically, we introduce a model based upon the coupling of generalized Lotka-Volterra systems. This coupling is based upon competition for common resources. The system can be regarded as a normal or canonical form for any distributed system that shows self-organized dynamics that entail winnerless competition. Crucially, we will show that some of the fundamental instabilities that arise in these coupled systems are remarkably similar to endogenous activity seen in the brain (using EEG and fMRI. Furthermore, by changing a small subset of the system's parameters we can produce bifurcations and metastable sequential dynamics changing, which bear a remarkable similarity to pathological brain states seen in psychiatry. In what follows, we will consider the coupling of two macroscopic modes of brain activity, which, in a purely descriptive fashion, we will label as cognitive and emotional modes. Our aim is to examine the dynamical structures that emerge when coupling these two modes and relate them tentatively to brain activity in normal and non-normal states.

  3. Post Mathematical Attitudes Among Prospective Elementary Teachers as Predicted by General Mathematics Skills, Modern Mathematics Skills, Modern Mathematics Achievement, and Prior Mathematical Attitudes.

    Science.gov (United States)

    Wilson, John Martin, Jr.

    The purpose of this study was to investigate the interrelationship of general mathematics skills, modern mathematics skills, modern mathematics achievement, prior mathematical attitudes, and postmathematical attitudes of prospective elementary teachers. A sample of 206 students was drawn from 286 students enrolled in a modern mathematics course.…

  4. Sources of Law in Transition - Re‐visiting General Principles of International Law

    Directory of Open Access Journals (Sweden)

    Maria Panezi

    2007-12-01

    Full Text Available General Principles of International Law have been a much contested source among International Law scholars. The ambiguity that surrounds their interpretation has resulted to a vivid dialogue around their legal nature, and their use in contemporary judicial practice of domestic and international tribunals. Globalization and the ever‐increasing complexity of International Economics affected the position of General Principles within the international legal system, and resulted to their progressive consolidation in the area of International Economic Law. Further examination of issues arising vis‐à‐vis General Principles could prove to be useful in other areas of law, in the same manner they addressed legal issues in International Economic Law.

  5. 18 CFR 358.2 - General principles.

    Science.gov (United States)

    2010-04-01

    ... 18 Conservation of Power and Water Resources 1 2010-04-01 2010-04-01 false General principles. 358... principles. (a) As more fully described and implemented in subsequent sections of this part, a transmission... independently from its marketing function employees, except as permitted in this part or otherwise permitted...

  6. General proof of (maximum) entropy principle in Lovelock gravity

    Science.gov (United States)

    Cao, Li-Ming; Xu, Jianfei

    2015-02-01

    We consider a static self-gravitating perfect fluid system in Lovelock gravity theory. For a spacial region on the hypersurface orthogonal to static Killing vector, by the Tolman's law of temperature, the assumption of a fixed total particle number inside the spacial region, and all of the variations (of relevant fields) in which the induced metric and its first derivatives are fixed on the boundary of the spacial region, then with the help of the gravitational and fluid equations of the theory, we can prove a theorem says that the total entropy of the fluid in this region takes an extremum value. A converse theorem can also be obtained following the reverse process of our proof. We also propose the definition of isolation quasilocally for the system and explain the physical meaning of the boundary conditions in the proof of the theorems.

  7. Introduction to the general principles of hormone-receptor interactions.

    Science.gov (United States)

    Levey, G S; Robinson, A G

    1982-07-01

    This review presents a concise overview of the historical development of receptor theory and the molecular mechanisms of action of the three broad classes of hormones, steroids, tyrosine derivatives, and polypeptides. Key terms required for understanding the basic terminology and concepts currently utilized in membrane receptor research are defined. The basic information should enable the reader to critically assess and understand more detailed discussions of hormone-receptor interactions and their application to clinical medicine.

  8. General proof of (maximum) entropy principle in Lovelock gravity

    CERN Document Server

    Cao, Li-Ming

    2014-01-01

    We consider a static self-gravitating perfect fluid system in Lovelock gravity theory. For a spacial region on the hypersurface orthogonal to static Killing vector, by the Tolman's law of temperature, the assumption of a fixed total particle number inside the spacial region, and all of the variations (of relevant fields) in which the induced metric and its first derivatives are fixed on the boundary of the spacial region, then with the help of the gravitational equations of the theory, we can prove a theorem says that the total entropy of the fluid in this region takes an extremum value. A converse theorem can also be obtained following the reverse process of our proof.

  9. General principles of institutional risks influence on pension systems

    Science.gov (United States)

    Nepp, A. N.; Shilkov, A. A.; Sheveleva, A. Y.; Mamedbakov, M. R.

    2016-12-01

    This paper examines the tools used to study the influence of institutional factors on investment returns. The research object are the tools used in the evaluation of institutional risks in the pension system, in particular, the correlation model of factors impacting on the `anti-director' index, econometric estimates combining the different determinants of savings, the model of endogenous institutional change, etc. Research work focusing on issues of institutional factors affecting pension systems (authored by La Porta, Guiso, Gianetti, El-Mekkaouide Freitas, Neyapti B., and others) is reviewed. The model is examined in terms of the impact of institutional risks on pension systems, especially with regard to the funded part. The study identified the following factors that affect financial institutions, including pension institutions: management quality, regulation quality, rule of law, political stability, and corruption control.

  10. THE PRINCIPLE OF ROBUSTNESS IN GENERALIZED PREDICTIVE CONTROL

    Institute of Scientific and Technical Information of China (English)

    SunMingwei; ChenZengqiang; YuanZhuzhi

    1999-01-01

    This paper deeply analyzes the closed-loop nature of GPC in the framework of internal model control (IMC) theory. A new sort of relation lies in the feedback structure so thatrobust reason can be satisfactorily explained. The result is significant because the previous conclusions are only applied to open-loop stable plant (or model).

  11. Prophylaxis of migraine: general principles and patient acceptance

    Directory of Open Access Journals (Sweden)

    Domenico D’Amico

    2008-12-01

    Full Text Available Domenico D’Amico1, Stewart J Tepper21Headache Center, Department of Neurological Sciences, C Besta Neurological Institute, Milan, Italy; 2Center for Headache and Pain, Neurological Institute, Cleveland Clinic Foundation, Cleveland, Ohio, USAAbstract: Migraine is a chronic neurological condition with episodic exacerbations. Migraine is highly prevalent, and associated with significant pain, disability, and diminished quality of life. Migraine management is an important health care issue. Migraine management includes avoidance of trigger factors, lifestyle modifications, non-pharmacological therapies, and medications. Pharmacological treatment is traditionally divided into acute or symptomatic treatment, and preventive treatment or prophylaxis. Many migraine patients can be treated using only acute treatment. Patients with severe and/or frequent migraines require long-term preventive therapy. Prophylaxis requires daily administration of anti-migraine compounds with potential adverse events or contraindications, and may also interfere with other concurrent conditions and treatments. These problems may induce patients to reject the idea of a preventive treatment, leading to poor patient adherence. This paper reviews the main factors influencing patient acceptance of anti-migraine prophylaxis, providing practical suggestions to enhance patient willingness to accept pharmacological anti-migraine preventive therapy. We also provide information about the main clinical characteristics of migraine, and their negative consequences. The circumstances warranting prophylaxis in migraine patients as well as the main characteristics of the compounds currently used in migraine prophylaxis will also be briefly discussed, focusing on those aspects which can enhance patient acceptance and adherence.Keywords: migraine, prophylaxis, preventive therapy, acceptance, adherence

  12. A Theory of Language Acquisition Based on General Learning Principles.

    Science.gov (United States)

    1981-06-17

    N00014.79.C.ES1 from the Office of Naval Research. I would like to thank Steven Pinker , Lynne Reder, and Miriam Schustack for their comments on earlier...has its background in past work on language acquisition (for reviews, see Anderson, 1976; Pinker , 1979--see also Langley, 1981), especially in my...policy in that rules are quite specific to various lexical items (Bresnan, 1981; Maratsos & Chalkley, 1980; Pinker , 1981). This also is exactly how

  13. [The General Principles of Suicide Prevention Policy from the perspective of clinical psychiatry].

    Science.gov (United States)

    Cho, Yoshinori; Inagaki, Masatoshi

    2014-01-01

    In view of the fact that the suicide rate in Japan has remained high since 1998, the Basic Act on Suicide Prevention was implemented in 2006 with the objective of comprehensively promoting suicide prevention measures on a national scale. Based on this Basic Act, in 2007, the Japanese government formulated the General Principles of Suicide Prevention Policy as a guideline for recommended suicide prevention measures. These General Principles were revised in 2012 in accordance with the initial plan of holding a review after five years. The Basic Act places an emphasis on the various social factors that underlie suicides and takes the perspective that suicide prevention measures are also social measures. The slogan of the revised General Principles is "Toward Realization of a Society in which Nobody is Driven to Commit Suicide". The General Principles list various measures that are able to be used universally. These contents would be sufficient if the objective of the General Principles were "realization of a society that is easy to live in"; however, the absence of information on the effectiveness and order of priority for each measure may limit the specific effectiveness of the measures in relation to the actual prevention of suicide. In addition, considering that nearly 90% of suicide victims are in a state at the time of committing suicide in which a psychiatric disorder would be diagnosed, it would appear from a psychiatric standpoint that measures related to mental health, including expansion of psychiatric services, should be the top priority in suicide prevention measures. However, this is not the case in the General Principles, in either its original or revised form. Revisions to the General Principles related to clinical psychiatry provide more detailed descriptions of measures for individuals who unsuccessfully attempt suicide and identify newly targeted mental disorders other than depression; however, the overall proportion of contents relating to

  14. UPDATING OF MUNICIPAL REFORM IS ON THE BASIS OF GENERALLY ECONOMIC PRINCIPLE

    Directory of Open Access Journals (Sweden)

    S.D. Valentey

    2008-06-01

    Full Text Available In clause the problem of formation of the local factors of strengthening of the national economy of Russia rises, necessity of updating of the municipal reform proves, corresponding measures which should follow from the generally economic principle of an definition of administrative-territorial structure of the local self-management are offered.

  15. Contextualizing Concepts using a Mathematical Generalization of the Quantum Formalism

    CERN Document Server

    Gabora, L; Gabora, Liane; Aerts, Diederik

    2002-01-01

    We outline the rationale and preliminary results of using the State Context Property (SCOP) formalism, originally developed as a generalization of quantum mechanics, to describe the contextual manner in which concepts are evoked, used, and combined to generate meaning. The quantum formalism was developed to cope with problems arising in the description of (1) the measurement process, and (2) the generation of new states with new properties when particles become entangled. Similar problems arising with concepts motivated the formal treatment introduced here. Concepts are viewed not as fixed representations, but entities existing in states of potentiality that require interaction with a context--a stimulus or another concept--to 'collapse' to an instantiated form (e.g. exemplar, prototype, or other possibly imaginary instance). The stimulus situation plays the role of the measurement in physics, acting as context that induces a change of the cognitive state from superposition state to collapsed state. The colla...

  16. A Framework of Principles for Quantum General Relativity with Time and Measurement

    CERN Document Server

    Maran, Suresh K

    2013-01-01

    The purpose of this article is to outline a framework of concepts and principles to combine quantum mechanics and general relativity so that time and measurement (reduction) are present as integral parts of the basic foundations. First, the problem of time in quantum gravity and the measurement problem in quantum mechanics are briefly reviewed and the popular proposals to tackle these two problems are briefly discussed. Next, on the already known foundations of quantum mechanics, a framework of principles of dynamics is built: 1) Self-Time Evolution - Newtons first law is reinterpreted to define time, 2) Local Measurement by Local Reduction - Quantum diffusion theory is adapted, and 3) Global Evolution by Global Reduction. Ideas on how to apply the framework to study quantum general relativistic physics are discussed. Further, more general and modified forms of some of these principles are also discussed. The theoretical elements in the framework to be made concrete by further theoretical and experimental inv...

  17. Hierarchical maximum entropy principle for generalized superstatistical systems and Bose-Einstein condensation of light.

    Science.gov (United States)

    Sob'yanin, Denis Nikolaevich

    2012-06-01

    A principle of hierarchical entropy maximization is proposed for generalized superstatistical systems, which are characterized by the existence of three levels of dynamics. If a generalized superstatistical system comprises a set of superstatistical subsystems, each made up of a set of cells, then the Boltzmann-Gibbs-Shannon entropy should be maximized first for each cell, second for each subsystem, and finally for the whole system. Hierarchical entropy maximization naturally reflects the sufficient time-scale separation between different dynamical levels and allows one to find the distribution of both the intensive parameter and the control parameter for the corresponding superstatistics. The hierarchical maximum entropy principle is applied to fluctuations of the photon Bose-Einstein condensate in a dye microcavity. This principle provides an alternative to the master equation approach recently applied to this problem. The possibility of constructing generalized superstatistics based on a statistics different from the Boltzmann-Gibbs statistics is pointed out.

  18. Improving Awareness about the Meaning of the Principle of Mathematical Induction (Fomentar la Conciencia sobre el Significado del Principio de Inducción Matemática)

    OpenAIRE

    Annalisa Cusi; Nicolina A. Malara

    2009-01-01

    This work is based on our conviction that it is possible to minimize difficulties students face in learning the principle of mathematical induction by means of clarifying its logical aspects. Based on previous research and theory, we designed a method of fostering students’ understanding of the principle. We present results that support the effectiveness of our method with teachers in training who are not specializing in mathematics. Este trabajo está basado en nuestra convicción de que es po...

  19. General Principles of Radiation Protection in Fields of Diagnostic Medical Exposure

    OpenAIRE

    Do, Kyung Hyun

    2016-01-01

    After the rapid development of medical equipment including CT or PET-CT, radiation doses from medical exposure are now the largest source of man-made radiation exposure. General principles of radiation protection from the hazard of ionizing radiation are summarized as three key words; justification, optimization, and dose limit. Because medical exposure of radiation has unique considerations, diagnostic reference level is generally used as a reference value, instead of dose limits. In Korea, ...

  20. The general use of the time-temperature-pressure superposition principle

    DEFF Research Database (Denmark)

    Rasmussen, Henrik Koblitz

    This note is a supplement to Dynamic of Polymeric Liquids (DPL) section 3.6(a). DPL do only concern material functions and only the effect of the temperature on these. This is a short introduction to the general use of the time-temperature-pressure superposition principle.......This note is a supplement to Dynamic of Polymeric Liquids (DPL) section 3.6(a). DPL do only concern material functions and only the effect of the temperature on these. This is a short introduction to the general use of the time-temperature-pressure superposition principle....

  1. Complementary variational principle and duality in mathematical programming.

    Science.gov (United States)

    Chan, W. L.; Leininger, G. G.; Farison, J. B.

    1973-01-01

    The relationship between the complementary variational principle and duality in mathematical programming is demonstrated through a geometric approach in a Hilbert space setting. A necessary and sufficient condition for the existence of such a principle is given in the case of a convex functional constrained by linear dynamics. Its relationship to the Kuhn-Tucker saddle point theory is indicated. Applications to various programming and control problems are discussed.

  2. Regulating food law : risk analysis and the precautionary principle as general principles of EU food law

    NARCIS (Netherlands)

    Szajkowska, A.

    2012-01-01

    Animal cloning, nanotechnology, and genetic modifications are all examples of recent controversies around food regulation where scientific evidence occupies a central position. This book provides a fresh perspective on EU scientific food safety governance by offering a legal insight into risk

  3. Regulating food law : risk analysis and the precautionary principle as general principles of EU food law

    NARCIS (Netherlands)

    Szajkowska, A.

    2012-01-01

    Animal cloning, nanotechnology, and genetic modifications are all examples of recent controversies around food regulation where scientific evidence occupies a central position. This book provides a fresh perspective on EU scientific food safety governance by offering a legal insight into risk analys

  4. The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle

    CERN Document Server

    Anacleto, M A; Passos, E; Santos, W P

    2014-01-01

    In this paper we investigate statistics entropy of a 3-dimensional rotating acoustic black hole based on generalized uncertainty principle. In our results we obtain an area entropy and a correction term associated with the noncommutative acoustic black hole when $ \\lambda $ introduced in the generalized uncertainty principle takes a specific value. However, in this method, is not need to introduce the ultraviolet cut-off and divergences are eliminated. Moreover, the small mass approximation is not necessary in the original brick-wall model.

  5. On the injectivity of the generalized Radon transform arising in a model of mathematical economics

    Science.gov (United States)

    Agaltsov, A. D.

    2016-11-01

    In the present article we consider the uniqueness problem for the generalized Radon transform arising in a mathematical model of production. We prove uniqueness theorems for this transform and for the profit function in the corresponding model of production. Our approach is based on the multidimensional Wiener’s approximation theorems.

  6. 21 CFR 104.5 - General principles.

    Science.gov (United States)

    2010-04-01

    ... requirements of the nutritional quality guideline established for its class of food may state “This product... meeting the requirements of the applicable nutritional quality guideline, shall comply with the following... CONSUMPTION NUTRITIONAL QUALITY GUIDELINES FOR FOODS General Provisions § 104.5 General principles. (a) A...

  7. Synchronous Lagrangian variational principles in General Relativity

    CERN Document Server

    Cremaschini, Claudio

    2016-01-01

    The problem of formulating synchronous variational principles in the context of General Relativity is discussed. Based on the analogy with classical relativistic particle dynamics, the existence of variational principles is pointed out in relativistic classical field theory which are either asynchronous or synchronous. The historical Einstein-Hilbert and Palatini variational formulations are found to belong to the first category. Nevertheless, it is shown that an alternative route exists which permits one to cast these principles in terms of equivalent synchronous Lagrangian variational formulations. The advantage is twofold. First, synchronous approaches allow one to overcome the lack of gauge symmetry of the asynchronous principles. Second, the property of manifest covariance of the theory is also restored at all levels, including the symbolic Euler-Lagrange equations, with the variational Lagrangian density being now identified with a $4-$scalar. As an application, a joint synchronous variational principle...

  8. 26 CFR 1.338-1 - General principles; status of old target and new target.

    Science.gov (United States)

    2010-04-01

    ... 26 Internal Revenue 4 2010-04-01 2010-04-01 false General principles; status of old target and new target. 1.338-1 Section 1.338-1 Internal Revenue INTERNAL REVENUE SERVICE, DEPARTMENT OF THE TREASURY... of old target and new target. (a) In general—(1) Deemed transaction. Elections are available under...

  9. 21 CFR 312.22 - General principles of the IND submission.

    Science.gov (United States)

    2010-04-01

    ... likelihood that the investigations will yield data capable of meeting statutory standards for marketing... (IND) § 312.22 General principles of the IND submission. (a) FDA's primary objectives in reviewing an...-investigator who uses, as a research tool, an investigational new drug that is already subject to...

  10. 21 CFR 570.20 - General principles for evaluating the safety of food additives.

    Science.gov (United States)

    2010-04-01

    ... food additives. 570.20 Section 570.20 Food and Drugs FOOD AND DRUG ADMINISTRATION, DEPARTMENT OF HEALTH AND HUMAN SERVICES (CONTINUED) ANIMAL DRUGS, FEEDS, AND RELATED PRODUCTS FOOD ADDITIVES Food Additive Safety § 570.20 General principles for evaluating the safety of food additives. (a) In reaching...

  11. 21 CFR 170.20 - General principles for evaluating the safety of food additives.

    Science.gov (United States)

    2010-04-01

    ... food additives. 170.20 Section 170.20 Food and Drugs FOOD AND DRUG ADMINISTRATION, DEPARTMENT OF HEALTH AND HUMAN SERVICES (CONTINUED) FOOD FOR HUMAN CONSUMPTION (CONTINUED) FOOD ADDITIVES Food Additive Safety § 170.20 General principles for evaluating the safety of food additives. (a) In reaching...

  12. A Study of the Relative Effectiveness of a Meaningful Concrete and a Meaningful Symbolic Model in Learning a Selected Mathematical Principle.

    Science.gov (United States)

    Fennema, Elizabeth

    Reported is a study to determine the relative effectiveness of a meaningful concrete and a meaningful symbolic model in learning a selected mathematics principle. Subjects were from a second grade population and they were assigned to three treatments. Students assigned to Treatment 1 received instruction in the principle with a meaningful symbolic…

  13. 16 CFR 260.6 - General principles.

    Science.gov (United States)

    2010-01-01

    ... ENVIRONMENTAL MARKETING CLAIMS § 260.6 General principles. The following general principles apply to all environmental marketing claims, including, but not limited to, those described in § 260.7. In addition, § 260.7... 16 Commercial Practices 1 2010-01-01 2010-01-01 false General principles. 260.6 Section...

  14. A Comparison of General Diagnostic Models (GDM) and Bayesian Networks Using a Middle School Mathematics Test

    Science.gov (United States)

    Wu, Haiyan

    2013-01-01

    General diagnostic models (GDMs) and Bayesian networks are mathematical frameworks that cover a wide variety of psychometric models. Both extend latent class models, and while GDMs also extend item response theory (IRT) models, Bayesian networks can be parameterized using discretized IRT. The purpose of this study is to examine similarities and…

  15. Molecularly imprinted polymers as synthetic mimics of bioreceptors. 1. General principles of molecular imprinting

    Directory of Open Access Journals (Sweden)

    Sergeyeva T. A.

    2009-08-01

    Full Text Available The review is devoted to analysis of the publications in the area of synthesis of artificial mimics of biological receptors using the method of molecular imprinting. General principles of molecular imprinting as well as main types of polymers being used in molecular imprinting are described. The special attention is paid to the polymers-biomimics synthesized using the method of non-covalent molecular imprinting.

  16. Molecularly imprinted polymers as synthetic mimics of bioreceptors. 1. General principles of molecular imprinting

    OpenAIRE

    Sergeyeva T. A.

    2009-01-01

    The review is devoted to analysis of the publications in the area of synthesis of artificial mimics of biological receptors using the method of molecular imprinting. General principles of molecular imprinting as well as main types of polymers being used in molecular imprinting are described. The special attention is paid to the polymers-biomimics synthesized using the method of non-covalent molecular imprinting.

  17. Generalized mathematical-computational-electronic model of MPTP- induced Parkinsonism

    Science.gov (United States)

    Jaramillo Raquejo, Daniela

    2013-05-01

    The substance 1-methyl-4-phenyl-1, 2, 3, 6 tetrahy dropyridine (MPTP) has been studied as a major cause of neurodegeneration dopaminica, which is specifically related to Parkinson's disease. The analysis is in terms of the diffusion of the substance to the mammalian brain, by evaluating the diffusion equation in a spherical coordinate system, being η (collective diffusion term) spatially modulated. Although the progress of the disease with respect to time has not been established with certainty, an attempt to find a stable pattern of the concentration of MPTP and its effects has been made.

  18. Mathematical methods of modeling research of the principles of technical systems

    Directory of Open Access Journals (Sweden)

    E. D. Chertov

    2016-01-01

    Full Text Available Summary. Consider the basic problem to query the database for the physical effects of the data. Technical problem may be simplistically represented as three components: the initial state, the end result, the process of converting the initial state to the final result. The problem arises if at least one of the components is unknown. Discarding cases where all the components are known, or all of the components are not known, we obtain a classification of technical problems, consisting of six types. In forming a set of queries to the database is a natural requirement for completeness of this set, i.e. Requests should be set to cover the technical challenges of all six types. With a view to the formulation of a complete set of queries we draw an analogy between the description of the technical problem and a description of the physical effect. Let us compare the initial state of the physical input action effect, the end result - the output of, the process of transformation of the initial state to the final result - a physical object or a sequence of physical effects. The requirements to the database on the physical effects: extensibility and improvement of the software and data structures without significant alterations of previously written programs and stored data, the ability to solve problems in a dialogue mode. A base structure consisting of a global database and a number of local databases that are generated to solve individual problems. A set of queries that cover the basic solution of technical problems at the level of principle. The problem of the search of the principles of device to convert the given source exposure to the specified output result. The structure of the local database to solve this problem and proposed a search algorithm. The main characteristics of the implementation of the algorithm.

  19. Mathematical foundations of biomechanics.

    Science.gov (United States)

    Niederer, Peter F

    2010-01-01

    The aim of biomechanics is the analysis of the structure and function of humans, animals, and plants by means of the methods of mechanics. Its foundations are in particular embedded in mathematics, physics, and informatics. Due to the inherent multidisciplinary character deriving from its aim, biomechanics has numerous connections and overlapping areas with biology, biochemistry, physiology, and pathophysiology, along with clinical medicine, so its range is enormously wide. This treatise is mainly meant to serve as an introduction and overview for readers and students who intend to acquire a basic understanding of the mathematical principles and mechanics that constitute the foundation of biomechanics; accordingly, its contents are limited to basic theoretical principles of general validity and long-range significance. Selected examples are included that are representative for the problems treated in biomechanics. Although ultimate mathematical generality is not in the foreground, an attempt is made to derive the theory from basic principles. A concise and systematic formulation is thereby intended with the aim that the reader is provided with a working knowledge. It is assumed that he or she is familiar with the principles of calculus, vector analysis, and linear algebra.

  20. Impacts of Generalized Uncertainty Principle on Black Hole Thermodynamics and Salecker-Wigner Inequalities

    CERN Document Server

    Tawfik, A

    2013-01-01

    We investigate the impacts of Generalized Uncertainty Principle (GUP) proposed by some approaches to quantum gravity such as String Theory and Doubly Special Relativity on black hole thermodynamics and Salecker-Wigner inequalities. Utilizing Heisenberg uncertainty principle, the Hawking temperature, Bekenstein entropy, specific heat, emission rate and decay time are calculated. As the evaporation entirely eats up the black hole mass, the specific heat vanishes and the temperature approaches infinity with an infinite radiation rate. It is found that the GUP approach prevents the black hole from the entire evaporation. It implies the existence of remnants at which the specific heat vanishes. The same role is played by the Heisenberg uncertainty principle in constructing the hydrogen atom. We discuss how the linear GUP approach solves the entire-evaporation-problem. Furthermore, the black hole lifetime can be estimated using another approach; the Salecker-Wigner inequalities. Assuming that the quantum position u...

  1. 5 CFR 551.202 - General principles.

    Science.gov (United States)

    2010-01-01

    ... 5 Administrative Personnel 1 2010-01-01 2010-01-01 false General principles. 551.202 Section 551... ADMINISTRATION UNDER THE FAIR LABOR STANDARDS ACT Exemptions and Exclusions § 551.202 General principles. In all exemption determinations, the agency must observe the following principles: (a) Each employee is presumed...

  2. 24 CFR 3282.402 - General principles.

    Science.gov (United States)

    2010-04-01

    ... 24 Housing and Urban Development 5 2010-04-01 2010-04-01 false General principles. 3282.402... and Remedial Actions § 3282.402 General principles. (a) Nothing in this subpart or in these... manufactured home manufacturers to provide remedial actions under this subpart is limited by the principle...

  3. The Principles of Self Creation Cosmology and its Comparison with General Relativity

    CERN Document Server

    Barber, G A

    2002-01-01

    There are, at present, several gravitational and cosmological anomalies; the dark energy problem, the lambda problem, accelerating cosmological expansion, the anomalous Pioneer spacecraft acceleration, a spin-up of the Earth and an apparent variation of G observed from analysis of the evolution of planetary longitudes. These conundrums may be resolved in the theory of Self Creation Cosmology, in which the Principle of Mutual Interaction subsumes both Mach's Principle and the Local Conservation of Energy. The theory is conformally equivalent to General Relativity in vacuo with the consequence that predictions of the theory are identical with General Relativity in the standard solar system experiments. Other observable local and cosmological consequences offer an explanation for the anomalies above. The SCC universe expands linearly in its Einstein Frame and it is static in its Jordan Frame; hence, as there are no density, smoothness or horizon problems, there is no requirement for Inflation. The theory determi...

  4. Domain General Mediators of the Relation between Kindergarten Number Sense and First-Grade Mathematics Achievement

    Science.gov (United States)

    Hassinger-Das, Brenna; Jordan, Nancy C.; Glutting, Joseph; Irwin, Casey; Dyson, Nancy

    2013-01-01

    Domain general skills that mediate the relation between kindergarten number sense and first-grade mathematics skills were investigated. Participants were 107 children who displayed low number sense in the fall of kindergarten. Controlling for background variables, multiple regression analyses showed that attention problems and executive functioning both were unique predictors of mathematics outcomes. Attention problems were more important for predicting first-grade calculation performance while executive functioning was more important for predicting first-grade performance on applied problems. Moreover, both executive functioning and attention problems were unique partial mediators of the relationship between kindergarten and first-grade mathematics skills. The results provide empirical support for developing interventions that target executive functioning and attention problems in addition to instruction in number skills for kindergartners with initial low number sense. PMID:24237789

  5. The Quark-Gluon Plasma Equation of State and the Generalized Uncertainty Principle

    Directory of Open Access Journals (Sweden)

    L. I. Abou-Salem

    2015-01-01

    Full Text Available The quark-gluon plasma (QGP equation of state within a minimal length scenario or Generalized Uncertainty Principle (GUP is studied. The Generalized Uncertainty Principle is implemented on deriving the thermodynamics of ideal QGP at a vanishing chemical potential. We find a significant effect for the GUP term. The main features of QCD lattice results were quantitatively achieved in case of nf=0, nf=2, and nf=2+1 flavors for the energy density, the pressure, and the interaction measure. The exciting point is the large value of bag pressure especially in case of nf=2+1 flavor which reflects the strong correlation between quarks in this bag which is already expected. One can notice that the asymptotic behavior which is characterized by Stephan-Boltzmann limit would be satisfied.

  6. Mathematical Modelling of the Evaporating Liquid Films on the Basis of the Generalized Interface Conditions

    Directory of Open Access Journals (Sweden)

    Goncharova Olga

    2016-01-01

    Full Text Available The two-dimensional films, flowing down an inclined, non-uniformly heated substrate are studied. The results contain the new mathematical models developed with the help of the long-wave approximation of the Navier-Stokes and heat transfer equations or Oberbeck-Boussinesq equations in the case, when the generalized conditions are formulated at thermocapillary interface. The evolution equations for the film thickness include the effects of gravity, viscosity, capillarity, thermocapillarity, additional stress effects and evaporation.

  7. 34 CFR 75.530 - General cost principles.

    Science.gov (United States)

    2010-07-01

    ... 34 Education 1 2010-07-01 2010-07-01 false General cost principles. 75.530 Section 75.530 Education Office of the Secretary, Department of Education DIRECT GRANT PROGRAMS What Conditions Must Be Met by a Grantee? Allowable Costs § 75.530 General cost principles. The general principles to be used...

  8. General systems theory mathematical foundations

    CERN Document Server

    Mesarovic, Mihajlo D

    1975-01-01

    In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank mat

  9. Deriving generalized variational principles in general mechanics by using Lagrangian multiplier method

    Institute of Scientific and Technical Information of China (English)

    梁立孚

    1999-01-01

    By using the involutory transformations, the classical variational principle——Hamiltonian principle of two kinds of variables in general mechanics is advanced and by using undetermined Lagrangian multiplier method, the generalized variational principles and generalized variational principles with subsidiary conditions are established. The stationary conditions of various kinds of variational principles are derived and the relational problems discussed.

  10. The Construction of General Principles about the Exemplification in the Electronic Learner's Dictionary

    Institute of Scientific and Technical Information of China (English)

    赵丹

    2011-01-01

    Dictionary has many functions,in which the function of definition is of very importance because the main purpose of dictionary is providing the entry's meaning information for the readers so that the readers can understand and use the entry-word and the realization of the purpose completely depends on lexicographical definition.However,the function of definition is limited,which need the exemplification to assist it.Therefore,the exemplification becomes very important,too.Good exemplification can assist definition,provide grammatical information,and supplement the information usage and so on.Many researches studied the exemplification of dictionary,its principles and so on.Dictionary changed much with the development of technology and many kinds of electronic dictionaries appeared.Few studies are involved with the new-type dictionary.Based on the general principles of the exemplification in a learner's printed dictionary,it is necessary to construct the general principles about the exemplification in the electronic learner's dictionary.

  11. [Protection of genetic data in Spain. Analysis based on the general principles of personal data protection].

    Science.gov (United States)

    García Amez, Javier

    2006-01-01

    The genetic data is Spain is not regulated specifically, rather, we must look at the regulation on the protection of data of a personal nature. This is turn, establishes a series of general principles to apply to any type of data. Analysing this with other regulations that are dispersed both in the national and international regulations, we can deduce the rights and obligations in this field. This highlights the fact that one can't dispose of the genetic data in the same manner as the personal data.

  12. [Recommendation for revision of the General Principles of Suicide Prevention Policy].

    Science.gov (United States)

    Takeshima, Tadashi; Inagaki, Masatoshi; Takahashi, Yoshitomo; Kawanishi, Chiaki; Saito, Toshikazu; Saito, Yukio; Motohashi, Yutaka; Yanaga, Yuriko; Matsumoto, Toshihiko; Kawano, Kenji; Katsumata, Yotaro

    2012-01-01

    Since the promulgation of the Basic Act for Suicide Prevention, suicide prevention in Japan has developed rapidly. In order to further reinforce such activities, it is necessary to balance universal, selective, and indicated prevention. For the revision of the General Principles of Suicide Prevention Policy, the Center for Suicide Prevention announced this recommendation with 29 societies. We hope that it will promote suicide prevention in Japan and lead to expansion of the suicide prevention network by academic organizations, NGOs, as well as local and central government.

  13. 12 CFR 621.3 - Application of generally accepted accounting principles.

    Science.gov (United States)

    2010-01-01

    ... principles. 621.3 Section 621.3 Banks and Banking FARM CREDIT ADMINISTRATION FARM CREDIT SYSTEM ACCOUNTING... principles. Each institution shall: (a) Prepare and maintain, on an accrual basis, accurate and complete... reports to the Farm Credit Administration, in accordance with generally accepted accounting...

  14. Report on a Study to Determine the Effect of Knowledge of Recursive Definitions upon Subsequent Application of the Principle of Mathematical Induction.

    Science.gov (United States)

    Waters, William Meade, Jr.

    The objective of the study was to determine the effect which a unit dealing with recursive definitions would have on students' achievement in applying the principle of mathematical induction (PMI). Twenty-four secondary school students were randomly assigned to control and experimental groups. Students in the control group studied programmed units…

  15. General Quantum Interference Principle and Duality Computer

    Institute of Scientific and Technical Information of China (English)

    LONG Gui-Lu

    2006-01-01

    In this article, we propose a general principle of quantum interference for quantum system, and based on this we propose a new type of computing machine, the duality computer, that may outperform in principle both classical computer and the quantum computer. According to the general principle of quantum interference, the very essence of quantum interference is the interference of thesub-waves of the quantum system itself. A quantum system considered here can be any quantum system: a single microscopic particle, a composite quantum system such as an atom or a molecule, or a loose collection of a few quantum objects such as two independent photons. In the duality computer,the wave of the duality computer is split into several sub-waves and they pass through different routes, where different computing gate operations are performed. These sub-waves are then re-combined to interfere to give the computational results. The quantum computer, however, has only used the particle nature of quantum object. In a duality computer,it may be possible to find a marked item from an unsorted database using only a single query, and all NP-complete problems may have polynomial algorithms. Two proof-of-the-principle designs of the duality computer are presented:the giant molecule scheme and the nonlinear quantum optics scheme. We also propose thought experiment to check the related fundamental issues, the measurement efficiency of a partial wave function.

  16. Mathematical grammar of biology

    CERN Document Server

    Yamagishi, Michel Eduardo Beleza

    2017-01-01

    This seminal, multidisciplinary book shows how mathematics can be used to study the first principles of DNA. Most importantly, it enriches the so-called “Chargaff’s grammar of biology” by providing the conceptual theoretical framework necessary to generalize Chargaff’s rules. Starting with a simple example of DNA mathematical modeling where human nucleotide frequencies are associated to the Fibonacci sequence and the Golden Ratio through an optimization problem, its breakthrough is showing that the reverse, complement and reverse-complement operators defined over oligonucleotides induce a natural set partition of DNA words of fixed-size. These equivalence classes, when organized into a matrix form, reveal hidden patterns within the DNA sequence of every living organism. Intended for undergraduate and graduate students both in mathematics and in life sciences, it is also a valuable resource for researchers interested in studying invariant genomic properties.

  17. The Effects of Expressive Writing on General and Mathematics Anxiety for a Sample of High School Students

    Science.gov (United States)

    Hines, Claudia L.; Brown, Nina W.; Myran, Steve

    2016-01-01

    Ninety-three (n = 93) students in grades 9-12 who failed the Virginia Standards of Learning mathematics test were placed into experimental and control groups. Pre and posttest measures for general and mathematics anxiety, and physical symptoms of stress were administered. The Expressive Writing intervention was used with both groups where the…

  18. THE GENERAL METHODOLOGICAL PRINCIPLES OF COMBINED OPTIONAL ONLINE ENGLISH LANGUAGE TRAINING OF PRIMARY SCHOOL STUDENTS

    Directory of Open Access Journals (Sweden)

    E. I. Zadorozhnaya

    2016-01-01

    Full Text Available The aim of the publication is to demonstrate the implementation of general methodological principles of optional elementary school online foreign languages learning on an example of a virtual course for students of the second and third grades.Methods. The methods involve pedagogical modeling and projecting; the experience of foreign and Russian methodists, teachers and researchers is analysed, generalized and adjusted to the modern realias.Results and scientific novelty. On the basis of the requirements of the state educational standard and interest of pupils in computer games, the author’s technique of the combined facultative educational activities integrated to training in English at elementary school is developed. Online training in the form of games (additional to the major classroom activities gives a possibility of the choice of tasks interesting to children, studying the material at optimum comfortable and individual speed; it is possible to perform the tasks at home excluding the stressful situations that are specific to school examination, and allows pupils to master most effectively personal, metasubject and object competences. In general context of quality improvement of the general education, the modernization of educational process assumes not only justification of its new maintenance, but also restructuring of scientific and methodical support which has to meet essential needs of teachers and pupils, to facilitate access to necessary specific information. The lack of methodical base of creation of electronic distance resources for foreign-language education of younger school students has motivated the author to create own methodical concept of online training taking into account age of pupils. The complex of the general methodical principles is thoroughly considered; based on the general methodical principles, the proposed modular technique of the organization of an online class is created and implemented. Interactive blocks are

  19. 39 CFR 602.1 - General principles.

    Science.gov (United States)

    2010-07-01

    ... 39 Postal Service 1 2010-07-01 2010-07-01 false General principles. 602.1 Section 602.1 Postal Service UNITED STATES POSTAL SERVICE PROCUREMENT SYSTEM FOR THE U.S. POSTAL SERVICE: INTELLECTUAL PROPERTY RIGHTS OTHER THAN PATENTS INTELLECTUAL PROPERTY RIGHTS OTHER THAN PATENTS § 602.1 General principles....

  20. On the stability of the dark energy based on generalized uncertainty principle

    CERN Document Server

    Pasqua, Antonio; Khomenko, Iuliia

    2013-01-01

    The new agegraphic Dark Energy (NADE) model (based on generalized uncertainty principle) interacting with Dark Matter (DM) is considered in this study via power-law form of the scale factor $a(t)$. The equation of state (EoS) parameter $\\omega_{G}$ is observed to have a phantom-like behaviour. The stability of this model is investigated through the squared speed of sound $v_{s}^{2}$: it is found that $v_{s}^{2}$ always stays at negative level, which indicates instability of the considered model.

  1. Note on the understanding of the generalized correspondence principle (in Polish & English

    Directory of Open Access Journals (Sweden)

    Michał KOKOWSKI

    2015-12-01

    Full Text Available The author, referring to the text of Jan Woleński published on the pages of Prace Komisji Historii Nauki PAU in 2014, discusses the understanding of the generalized correspondence principle in the context of the following concepts: cumulativism (C.G. Hempel, P. Oppenhaim, E. Nagel, extreme anticumulativism (P. Feyerabend, T.S. Kuhn, dialectical cumulativism (W. Krajewski and the hypothetico­‑deductive method of correspondence ­oriented thinking as well as Copernicus’s methodology (M. Kokowski.

  2. General Principles and Convention on Contracts for the International Sale of Goods (CISG – Uniformity under an Interpretation Umbrella?

    Directory of Open Access Journals (Sweden)

    Laura Lassila

    2017-01-01

    Full Text Available Globalization and digitalization of international sales creates needs to harmonize rules of international commercial contracts. The question is whether the harmonization should be done by binding rules or using soft law tools or through digitalization. In this article I argue on favor of harmonization through international contracts law rules’ international interpretation.The international interpretation principles used in this article are found from on Art. 7(1 of the Convention on Contracts for the International Sale of Goods (CISG which sets three interpretation rules: international character; promoting uniformity; and observance of good faith in international trade. These principles are not only principles of the CISG, but also principles commonly recognized in international commercial practice and also in domestic contract rules. I argue that by adopting an international interpretation umbrella – the meta-principle of international interpretation, cross-border contracts could be interpreted under the same principle no matter applicable substantial law. The meta-principle functions as an interpretation umbrella covering general principles and Articles of the CISG, general principles of international commercial contracts, Lex Mercatoria, and cross-border contract provision under national law.The outcomes points out that arbitral tribunals have interpreted general principles of the CISG and Lex Mercatoria in various ways. General principles and their application in case law is analyzed in connection with the Civil Code of the Russian Federation. Tribunals found that general principles of the CISG are applicable even if the CISG is not. It follows Art.’s 7(2 logic to promote international standard to cross-border contracts where the closes connection is international commercial practice rather than any national jurisdiction.

  3. The contribution of general cognitive abilities and number abilities to different aspects of mathematics in children.

    Science.gov (United States)

    Träff, Ulf

    2013-10-01

    This study examined the relative contributions of general cognitive abilities and number abilities to word problem solving, calculation, and arithmetic fact retrieval in a sample of 134 children aged 10 to 13 years. The following tasks were administered: listening span, visual matrix span, verbal fluency, color naming, Raven's Progressive Matrices, enumeration, number line estimation, and digit comparison. Hierarchical multiple regressions demonstrated that number abilities provided an independent contribution to fact retrieval and word problem solving. General cognitive abilities contributed to problem solving and calculation. All three number tasks accounted for a similar amount of variance in fact retrieval, whereas only the number line estimation task contributed unique variance in word problem solving. Verbal fluency and Raven's matrices accounted for an equal amount of variance in problem solving and calculation. The current findings demonstrate, in accordance with Fuchs and colleagues' developmental model of mathematical learning (Developmental Psychology, 2010, Vol. 46, pp. 1731-1746), that both number abilities and general cognitive abilities underlie 10- to 13-year-olds' proficiency in problem solving, whereas only number abilities underlie arithmetic fact retrieval. Thus, the amount and type of cognitive contribution to arithmetic proficiency varies between the different aspects of arithmetic. Furthermore, how closely linked a specific aspect of arithmetic is to the whole number representation systems is not the only factor determining the amount and type of cognitive contribution in 10- to 13-year-olds. In addition, the mathematical complexity of the task appears to influence the amount and type of cognitive support.

  4. Solid electrolytes general principles, characterization, materials, applications

    CERN Document Server

    Hagenmuller, Paul

    1978-01-01

    Solid Electrolytes: General Principles, Characterization, Materials, Applications presents specific theories and experimental methods in the field of superionic conductors. It discusses that high ionic conductivity in solids requires specific structural and energetic conditions. It addresses the problems involved in the study and use of solid electrolytes. Some of the topics covered in the book are the introduction to the theory of solid electrolytes; macroscopic evidence for liquid nature; structural models; kinetic models; crystal structures and fast ionic conduction; interstitial motion in

  5. 21 CFR 102.5 - General principles.

    Science.gov (United States)

    2010-04-01

    ... or usual name of a food shall include a statement of the presence or absence of any characterizing... component(s) when the presence or absence of such ingredient(s) or component(s) in the food has a material... 21 Food and Drugs 2 2010-04-01 2010-04-01 false General principles. 102.5 Section 102.5 Food...

  6. General Principles of the Civil Law of the People’s Republic of China

    Institute of Scientific and Technical Information of China (English)

    1994-01-01

    In this issue we will introduce readers to the General Principles of the Civil Lave of the People’s Republic of China, which was adopted at the Fourth Session of the Sixth National People’s Congress, promulgated by order No.37 of the President of the People’s Republic of China on April 12, 1986, and effective as of January 1, 1987.This law was formulated according to the constitution and the actual situation in our country, drawing upon our practical experience in civil actirities,for the purpose of protecting the lawful civil rights and interests of citizens and legal persons and correctly adjusting civil relations,so as to meet the needs of the developing socialist modernizationThe Civil Law of the People’s Republie of China has 156 articles and 9 chapters. The chapters are:1) Basic Principles;2) Citizen (Natural Person); 3) Legal Persons; 4) Civil Law and Agencies; 5)Civil Rights; 6) Civil Liability; 7) Limitations of Action; 8) Application of Law in Civil Relations with Foreigners; and 9) Supplement

  7. Group Classification of a General Bond-Option Pricing Equation of Mathematical Finance

    Directory of Open Access Journals (Sweden)

    Tanki Motsepa

    2014-01-01

    Full Text Available We carry out group classification of a general bond-option pricing equation. We show that the equation admits a three-dimensional equivalence Lie algebra. We also show that some of the values of the constants which result from group classification give us well-known models in mathematics of finance such as Black-Scholes, Vasicek, and Cox-Ingersoll-Ross. For all such values of these arbitrary constants we obtain Lie point symmetries. Symmetry reductions are then obtained and group invariant solutions are constructed for some cases.

  8. On the origin of generalized uncertainty principle from compactified M5-brane

    Science.gov (United States)

    Sepehri, Alireza; Pradhan, Anirudh; Beesham, A.

    2017-08-01

    In this paper, we demonstrate that compactification in M-theory can lead to a deformation of field theory consistent with the generalized uncertainty principle (GUP). We observe that the matter fields in the M3-brane action contain higher derivative terms. We demonstrate that such terms can also be constructed from a reformulation of the field theory by the GUP. In fact, we will construct the Heisenberg algebra consistent with this deformation, and explicitly demonstrate it to be the Heisenberg algebra obtained from the GUP. Thus, we use compactification in M-theory to motivate for the existence of the GUP.

  9. On mathematical and physical principles of transformations of the coherent radar backscatter matrix

    CERN Document Server

    Bebbington, David

    2013-01-01

    The congruential rule advanced by Graves for polarization basis transformation of the radar backscatter matrix is now often misinterpreted as an example of consimilarity transformation. However, consimilarity transformations imply a physically unrealistic antilinear time-reversal operation. This is just one of the approaches found in literature to the description of transformations where the role of conjugation has been misunderstood. In this paper, the different approaches are examined in particular in respect to the role of conjugation. In order to justify and correctly derive the congruential rule for polarization basis transformation and properly place the role of conjugation, the origin of the problem is traced back to the derivation of the antenna hight from the transmitted field. In fact, careful consideration of the role played by the Green's dyadic operator relating the antenna height to the transmitted field shows that, under general unitary basis transformation, it is not justified to assume a scal...

  10. 21 CFR 502.5 - General principles.

    Science.gov (United States)

    2010-04-01

    ... or absence of such ingredient(s) or component(s) in the food has a material bearing on price or... misled about the presence or absence of the ingredient(s) or component(s) in the food. The following... 21 Food and Drugs 6 2010-04-01 2010-04-01 false General principles. 502.5 Section 502.5 Food...

  11. A general principle governs vision-dependent dendritic patterning of retinal ganglion cells.

    Science.gov (United States)

    Xu, Hong-Ping; Sun, Jin Hao; Tian, Ning

    2014-10-15

    Dendritic arbors of retinal ganglion cells (RGCs) collect information over a certain area of the visual scene. The coverage territory and the arbor density of dendrites determine what fraction of the visual field is sampled by a single cell and at what resolution. However, it is not clear whether visual stimulation is required for the establishment of branching patterns of RGCs, and whether a general principle directs the dendritic patterning of diverse RGCs. By analyzing the geometric structures of RGC dendrites, we found that dendritic arbors of RGCs underwent a substantial spatial rearrangement after eye-opening. Light deprivation blocked both the dendritic growth and the branch patterning, suggesting that visual stimulation is required for the acquisition of specific branching patterns of RGCs. We further showed that vision-dependent dendritic growth and arbor refinement occurred mainly in the middle portion of the dendritic tree. This nonproportional growth and selective refinement suggest that the late-stage dendritic development of RGCs is not a passive stretching with the growth of eyes, but rather an active process of selective growth/elimination of dendritic arbors of RGCs driven by visual activity. Finally, our data showed that there was a power law relationship between the coverage territory and dendritic arbor density of RGCs on a cell-by-cell basis. RGCs were systematically less dense when they cover larger territories regardless of their cell type, retinal location, or developmental stage. These results suggest that a general structural design principle directs the vision-dependent patterning of RGC dendrites.

  12. Impacts of generalized uncertainty principle on black hole thermodynamics and Salecker-Wigner inequalities

    Energy Technology Data Exchange (ETDEWEB)

    Tawfik, A., E-mail: a.tawfik@eng.mti.edu.eg [Egyptian Center for Theoretical Physics (ECTP), MTI University, 11571 Cairo (Egypt)

    2013-07-01

    We investigate the impacts of Generalized Uncertainty Principle (GUP) proposed by some approaches to quantum gravity such as String Theory and Doubly Special Relativity on black hole thermodynamics and Salecker-Wigner inequalities. Utilizing Heisenberg uncertainty principle, the Hawking temperature, Bekenstein entropy, specific heat, emission rate and decay time are calculated. As the evaporation entirely eats up the black hole mass, the specific heat vanishes and the temperature approaches infinity with an infinite radiation rate. It is found that the GUP approach prevents the black hole from the entire evaporation. It implies the existence of remnants at which the specific heat vanishes. The same role is played by the Heisenberg uncertainty principle in constructing the hydrogen atom. We discuss how the linear GUP approach solves the entire-evaporation-problem. Furthermore, the black hole lifetime can be estimated using another approach; the Salecker-Wigner inequalities. Assuming that the quantum position uncertainty is limited to the minimum wavelength of measuring signal, Wigner second inequality can be obtained. If the spread of quantum clock is limited to some minimum value, then the modified black hole lifetime can be deduced. Based on linear GUP approach, the resulting lifetime difference depends on black hole relative mass and the difference between black hole mass with and without GUP is not negligible.

  13. Interest in Mathematics = Interest in Mathematics? What General Measures of Interest Reflect When the Object of Interest Changes

    Science.gov (United States)

    Ufer, Stefan; Rach, Stefanie; Kosiol, Timo

    2017-01-01

    Students' motivational characteristics, e.g., subject-related interest, are considered important predictors for successful learning processes. However, few empirical studies provide evidence for the assumed chain of effects between high interest and high achievement in mathematics. One reason for this result might be that the applied measures of…

  14. General proof of the entropy principle for self-gravitating fluid in f ( R) gravity

    Science.gov (United States)

    Fang, Xiongjun; Guo, Minyong; Jing, Jiliang

    2016-08-01

    The discussions on the connection between gravity and thermodynamics attract much attention recently. We consider a static self-gravitating perfect fluid system in f ( R) gravity, which is an important theory could explain the accelerated expansion of the universe. We first show that the Tolman-Oppenheimer-Volkoff equation of f ( R) theories can be obtained by thermodynamical method in spherical symmetric spacetime. Then we prove that the maximum entropy principle is also valid for f ( R) gravity in general static spacetimes beyond spherical symmetry. The result shows that if the constraint equation is satisfied and the temperature of fluid obeys Tolmans law, the extrema of total entropy implies other components of gravitational equations. Conversely, if f ( R) gravitational equation hold, the total entropy of the fluid should be extremum. Our work suggests a general and solid connection between f ( R) gravity and thermodynamics.

  15. The Contributions of Domain-General and Numerical Factors to Third-Grade Arithmetic Skills and Mathematical Learning Disability

    Science.gov (United States)

    Cowan, Richard; Powell, Daisy

    2014-01-01

    Explanations of the marked individual differences in elementary school mathematical achievement and mathematical learning disability (MLD or dyscalculia) have involved domain-general factors (working memory, reasoning, processing speed, and oral language) and numerical factors that include single-digit processing efficiency and multidigit skills…

  16. Lorentz invariance violation and generalized uncertainty principle

    Science.gov (United States)

    Tawfik, Abdel Nasser; Magdy, H.; Ali, A. Farag

    2016-01-01

    There are several theoretical indications that the quantum gravity approaches may have predictions for a minimal measurable length, and a maximal observable momentum and throughout a generalization for Heisenberg uncertainty principle. The generalized uncertainty principle (GUP) is based on a momentum-dependent modification in the standard dispersion relation which is conjectured to violate the principle of Lorentz invariance. From the resulting Hamiltonian, the velocity and time of flight of relativistic distant particles at Planck energy can be derived. A first comparison is made with recent observations for Hubble parameter in redshift-dependence in early-type galaxies. We find that LIV has two types of contributions to the time of flight delay Δ t comparable with that observations. Although the wrong OPERA measurement on faster-than-light muon neutrino anomaly, Δ t, and the relative change in the speed of muon neutrino Δ v in dependence on redshift z turn to be wrong, we utilize its main features to estimate Δ v. Accordingly, the results could not be interpreted as LIV. A third comparison is made with the ultra high-energy cosmic rays (UHECR). It is found that an essential ingredient of the approach combining string theory, loop quantum gravity, black hole physics and doubly spacial relativity and the one assuming a perturbative departure from exact Lorentz invariance. Fixing the sensitivity factor and its energy dependence are essential inputs for a reliable confronting of our calculations to UHECR. The sensitivity factor is related to the special time of flight delay and the time structure of the signal. Furthermore, the upper and lower bounds to the parameter, a that characterizes the generalized uncertainly principle, have to be fixed in related physical systems such as the gamma rays bursts.

  17. 2013 MARS – Refresher presentation | General principles of the Merit, Appraisal and Recognition Scheme

    CERN Multimedia

    2013-01-01

    Staff members are invited to attend one of the three following information sessions that shall outline the general principles of the 2013 annual Merit, Appraisal and Recognition Scheme (MARS).   Monday 14 January at 10:00-11:30 – Filtration Plant (222-R-001) Thursday 17 January at 10:00-11:30 – Kjell Johnsen Auditorium (30-7-018) Monday 21 January at 10:00-11:30 - BE Amphitheatre Prévessin (864-1-D02)   General information on the MARS exercise may also be found in the CERN admin e-guide: https://admin-eguide.web.cern.ch/admin-eguide/mars/mars.asp. Human Resources Department Tel. 72728

  18. 2011 Mars - Refresher presentation - General principles of the Merit, Appraisal and Recognition Scheme

    CERN Multimedia

    HR Department

    2010-01-01

    Staff members are invited to attend one of the following three information sessions that shall outline the general principles of the 2011 annual Merit, Appraisal and Recognition Scheme (MARS). Monday 10 January at 16:00-17:00 BE Auditorium Prévessin (864-1-D-02) – French;   Tuesday 11 January at 15:00-16:00 – Council Chamber (503-1-001) – English;   Thursday 13 January at 15:00-16:00 - Kjell Johnsen Auditorium (30-7-018) – French. General information on the MARS exercise may also be found on the Human Resources website: https://hr-eguide.web.cern.ch/hr-eguide/mars/mars.asp Tel. 70674 / 72728

  19. Topics in mathematical physics, general relativity, and cosmology in honor of Jerzy Plebanski

    Science.gov (United States)

    Plebanski, Jerzy; Garcia-Compean, Hugo

    pt. 1. Historical data. Jerzy Plebanski: the quest for new worlds / H. Garcia-Compean ... [et al.]. Pleasant memories with Jerzy Plebanski / D. Finley. My recollections of Jerzy Plebanski / A. Trautman. Working with Pleban / I. Robinson. List of Plebanski's publications -- pt. II. Invited papers (proceedings part). Organizing committee. The higher-energy precursor of the AdS/CFT correspondence / X. Amador ... [et al.]. How black holes grow / A. Ashtekar. Some theorems related to the Jacobi variational principle of analytical dynamics / S. L. Bazanski. Horizon structure of Born-Infeld black hole / N. Breton. Space-time torsion contribution to quantum interference phases / A. Camacho & A. Macias. Squeezing operator and squeeze tomography / O. Castanos ... [et al.]. A producer of universes / R. Cordero & E. Rojas. Moyal star-product on a Hilbert space / G. Dito. Null-Kahler structures, symmetries and integrability / M. Dunajski & M. Przanowski. Helicity basis and parity / V. V. Dvoeglazov. Second order supersymmetry transformations in quantum mechanics / D. J. Fernandez C. & A. Ramos. Generalized symmetries for the sDiff(2) Toda equation / D. Finley & J. K. Mciver. Differential equations and Cartan connections / S. Frittelli ... [et al.]. N = 2 String geometry and the heavenly equations / H. Garcia-Compean. Noncommutative topological and Einstein gravity from noncommutative SL(2, C) BF theory / H. Garcia-Compean ... [et al.]. Conservation laws, constants of the motion, and Hamiltonians / J. Goldberg. Electromagnetic wavelets as Hertzian pulsed beams in complex spacetime / G. Kaiser. Generalized k-deformations and deformed relativistic scalar fields on noncommutative Minkowski space / P. Kosinski ... [et al.]. Structure formation in the Lemaitre-Tolman cosmological model (a non-perturbative approach) / A. Krasinski & C. Hellaby. Ramond-Ramond fields in orientifold backgrounds and K-theory / O. Loaiza-Brito. Large N field theories, string theory and gravity / J

  20. 49 CFR 1200.2 - Adoption of generally accepted accounting principles issued by the Financial Accounting Standards...

    Science.gov (United States)

    2010-10-01

    ... principles issued by the Financial Accounting Standards Board (FASB). 1200.2 Section 1200.2 Transportation... COMMERCE ACT § 1200.2 Adoption of generally accepted accounting principles issued by the Financial... Financial Accounting Standards by the FASB, and provided that the Office of Economics,...

  1. Enhancement of the capabilities of liquid chromatography-mass spectrometry with derivatization: general principles and applications.

    Science.gov (United States)

    Xu, Fengguo; Zou, Li; Liu, Ying; Zhang, Zunjian; Ong, Choon Nam

    2011-01-01

    The integration of liquid chromatography-mass spectrometry (LC-MS) with derivatization is a relatively new and unique strategy that could add value and could enhance the capabilities of LC-MS-based technologies. The derivatization process could be carried out in various analytical steps, for example, sampling, storage, sample preparation, HPLC separation, and MS detection. This review presents an overview of derivatization-based LC-MS strategy over the past 10 years and covers both the general principles and applications in the fields of pharmaceutical and biomedical analysis, biomarker and metabolomic research, environmental analysis, and food-safety evaluation. The underlying mechanisms and theories for derivative reagent selection are summarized and highlighted to guide future studies.

  2. Sedimentation equilibrium and the generalized Archimedes' principle.

    Science.gov (United States)

    Parola, Alberto; Buzzaccaro, Stefano; Secchi, Eleonora; Piazza, Roberto

    2013-03-21

    The buoyancy concept is critically re-examined for applications to dispersions of nano-particles, such as colloids, proteins, or macromolecules. It is shown that when the size of the buoyant particle is not too different (say, at most a factor of ten) from the size of the dispersed particles, new intriguing phenomena emerge, leading to the violation of the Archimedes' principle. The resulting buoyancy force depends not only on the volume of the particle and on the mass density of the dispersion, but also on the relative size of the particles, on their geometry, and on the interactions between the buoyant particle and the fluid. Explicit expressions for such a generalized Archimedes' principle are obtained and the results are tested against targeted experiments in colloidal dispersions.

  3. Sedimentation equilibrium and the generalized Archimedes' principle

    Science.gov (United States)

    Parola, Alberto; Buzzaccaro, Stefano; Secchi, Eleonora; Piazza, Roberto

    2013-03-01

    The buoyancy concept is critically re-examined for applications to dispersions of nano-particles, such as colloids, proteins, or macromolecules. It is shown that when the size of the buoyant particle is not too different (say, at most a factor of ten) from the size of the dispersed particles, new intriguing phenomena emerge, leading to the violation of the Archimedes' principle. The resulting buoyancy force depends not only on the volume of the particle and on the mass density of the dispersion, but also on the relative size of the particles, on their geometry, and on the interactions between the buoyant particle and the fluid. Explicit expressions for such a generalized Archimedes' principle are obtained and the results are tested against targeted experiments in colloidal dispersions.

  4. 《编译原理》中的离散数学基础理论还原研究*%Discrete Mathematical Principles in Principles of Compiler Course

    Institute of Scientific and Technical Information of China (English)

    胡慧君; 刘茂福

    2013-01-01

    从离散数学角度出发考察《编译原理》课程内容,致力于还原《编译原理》课程内容中的离散数学基础理论。涉及到的《编译原理》课程内容包括形式语言、有穷自动机、语法分析、形式化以及语言运算等,还原的离散数学基础包括等价、演绎与归纳、图论以及代数系统。针对计算机相关专业大学生,通过《编译原理》课程内容中离散数学基础理论的还原,培养离散数学意识,提高离散数学修养,加强学习《编译原理》和《离散数学》课程的兴趣。%Be dedicated to originating the discrete mathematical principles in the contents of Principles of Compiler course from the mathematical perspective. The contents of Principles of Compiler, in-cluding formal grammar, finite automaton, grammar analysis, formalization and lingual calcula-tion, have been mapped to the principles of Discrete Mathematics, including equivalence, infer-ence theory based on deduction and induction, graph theory and algebra system. The purposes are to develop the discrete mathematics consciousness and enhance the learning interests in the courses of principles of compiler and discrete mathematics.

  5. Image Filtering Based on Mathematical Morphology and Visual Perception Principle

    Institute of Scientific and Technical Information of China (English)

    JINGXiaojun; YUNong; SHANGYong

    2004-01-01

    The operation of a morphological filter can be divided into two basic problems that include morphological operation and Structuring element (SE) selection. The rules for morphological operations are predefined, so the filter's properties depend merely on the selection of SE. How to design adaptively the optimal morphological filter so as to automatically and delicately complete the tasks of target detection and recognition, becomes one of the current research hotspots and subtle technical problems. Based on the filtering theory of the mathematical morphology, by introducing appropriate visual perception principle, this paper presents how to design the filtering architecture and its target detection model through the optimal parameter training. By this way it can provide good detection results and robust adaptability to image targets with clutter background. It is sure to provide a new approach to automatic target recognition with mathematical morphology theory.

  6. The principle of the Fermionic projector

    CERN Document Server

    Finster, Felix

    2006-01-01

    The "principle of the fermionic projector" provides a new mathematical framework for the formulation of physical theories and is a promising approach for physics beyond the standard model. This book begins with a brief review of relativity, relativistic quantum mechanics, and classical gauge theories, emphasizing the basic physical concepts and mathematical foundations. The external field problem and Klein's paradox are discussed and then resolved by introducing the fermionic projector, a global object in space-time that generalizes the notion of the Dirac sea. At the mathematical core of the book is a precise definition of the fermionic projector and the use of methods of hyperbolic differential equations for detailed analysis. The fermionic projector makes it possible to formulate a new type of variational principle in space-time. The mathematical tools are developed for the analysis of the corresponding Euler-Lagrange equations. A particular variational principle is proposed that gives rise to an effective...

  7. The Principle Of Justice In Magna Carta Libertatum And Its Influence On The Law In General

    Directory of Open Access Journals (Sweden)

    Zendeli Emine

    2015-12-01

    Full Text Available This article aims to expound the principle of justice, as a fundamental value and as an immanent category of law, as well as one of the fundamental human rights, prescribed and guaranteed by a myriad of international instruments and documents. After a brief historical account, by focusing on Article 40 of the Magna Carta Libertatum, which states that: “To No One Will we Sell, To No One Will we refuse or delay, right or justice”, this article claims to show the importance of incorporation of this principle in the provisions of the Magna Carta and its impact on the development of theory and legislation in the past and present. Moreover, the article intends to explore the extent of influence that the priciple of justice has on the functioning of the law in general. Since justice implicates the permanent and constant will to render each person his due, and this achieved through equality, it results that justice means being equal. In this context, the article will explore the concept of equality as a precondition of justice, as well as the conditions and modalities for its implementation.

  8. From geometry to algebra and vice versa: Realistic mathematics education principles for analyzing geometry tasks

    Science.gov (United States)

    Jupri, Al

    2017-04-01

    In this article we address how Realistic Mathematics Education (RME) principles, including the intertwinement and the reality principles, are used to analyze geometry tasks. To do so, we carried out three phases of a small-scale study. First we analyzed four geometry problems - considered as tasks inviting the use of problem solving and reasoning skills - theoretically in the light of the RME principles. Second, we tested two problems to 31 undergraduate students of mathematics education program and other two problems to 16 master students of primary mathematics education program. Finally, we analyzed student written work and compared these empirical to the theoretical results. We found that there are discrepancies between what we expected theoretically and what occurred empirically in terms of mathematization and of intertwinement of mathematical concepts from geometry to algebra and vice versa. We conclude that the RME principles provide a fruitful framework for analyzing geometry tasks that, for instance, are intended for assessing student problem solving and reasoning skills.

  9. [General principles of effective communication between physician and patient with selected mental disorders].

    Science.gov (United States)

    Błaszczyk, Justyna; Bobińska, Kinga; Filip, Maria; Gałecki, Piotr

    2015-04-01

    Faced with the growing frequency of mental disorders occurrence and considering the necessity of improving the patient care, it is particularly important that physicians of different specialties knew the general principles of effective communication with patients who are mentally ill. Equally important is to spread the knowledge of the symptomatology of various mental illnesses. Studies published by the Institute of Psychiatry and Neurology involving persons between 18 and 64 years old, show that 8 millions Poles suffers or suffered from mental disorders. This represents almost 25% of Polish society. The above data confirm, that basic knowledge of criteria for diagnosing mental disorders and their treatment by primary care physicians, determines the success of the entire health care system. It must be taken into consideration that frequently patients seeing general practitioner (GP) are suffering from more than one mental illness or it is accompanied by somatic disease. Adequate communication determines effective treatment. Simple yet exact message, ability to adapt it to patient and problems reported by him, is a valuable means in daily medical practice. It reduces the risk of iatrogenic disorder, encourages the efficiency of the entire therapeutic process. Good cooperation with the patient is also determined by patience, empathy, understanding, and competence. The aim of this study is to present the principles of effective communication between doctor and patient suffering from selected mental disorders. The article defines the concept of communication. It shows symptomatology of primary psychiatric disorders. Moreover, the most common difficulties in relationship between the doctor and the patient had been pointed. © 2015 MEDPRESS.

  10. Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle

    Energy Technology Data Exchange (ETDEWEB)

    Feng, Z.W.; Zu, X.T. [University of Electronic Science and Technology of China, School of Physical Electronics, Chengdu (China); Li, H.L. [University of Electronic Science and Technology of China, School of Physical Electronics, Chengdu (China); Shenyang Normal University, College of Physics Science and Technology, Shenyang (China); Yang, S.Z. [China West Normal University, Physics and Space Science College, Nanchong (China)

    2016-04-15

    We investigate the thermodynamics of Schwarzschild-Tangherlini black hole in the context of the generalized uncertainty principle (GUP). The corrections to the Hawking temperature, entropy and the heat capacity are obtained via the modified Hamilton-Jacobi equation. These modifications show that the GUP changes the evolution of the Schwarzschild-Tangherlini black hole. Specially, the GUP effect becomes susceptible when the radius or mass of the black hole approaches the order of Planck scale, it stops radiating and leads to a black hole remnant. Meanwhile, the Planck scale remnant can be confirmed through the analysis of the heat capacity. Those phenomena imply that the GUP may give a way to solve the information paradox. Besides, we also investigate the possibilities to observe the black hole at the Large Hadron Collider (LHC), and the results demonstrate that the black hole cannot be produced in the recent LHC. (orig.)

  11. The development of mathematics

    CERN Document Server

    Bell, E T

    1992-01-01

    ""This important book . . . presents a broad account of the part played by mathematics in the evolution of civilization, describing clearly the main principles, methods, and theories of mathematics that have survived from about 4000 BC to 1940.""― BooklistIn this time-honored study, one of the 20th century's foremost scholars and interpreters of the history and meaning of mathematics masterfully outlines the development of its leading ideas, and clearly explains the mathematics involved in each. According to the author, a professor of mathematics at the California Institute of Technology from

  12. Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle

    CERN Document Server

    Tawfik, Abdel Nasser

    2015-01-01

    Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking (black hole) entropy, which relates the entropy to the cross-sectional area of the black hole horizon. Using generalized uncertainty principle (GUP), corrections to the geometric entropy and thermodynamics of black hole will be introduced. The impact of GUP on the entropy near the horizon of three types of black holes; Schwarzschild, Garfinkle-Horowitz-Strominger and Reissner-Nordstr\\"om is determined. It is found that the logarithmic divergence in the entropy-area relation turns to be positive. The entropy $S$, which is assumed to be related to horizon's two-dimensional area, gets an additional terms, for instance $2\\, \\sqrt{\\pi}\\, \\alpha\\, \\sqrt{S}$, where $\\alpha$ is the GUP parameter.

  13. Effect of Generalized Uncertainty Principle on Main-Sequence Stars and White Dwarfs

    CERN Document Server

    Moussa, Mohamed

    2015-01-01

    This paper addresses the effect of generalized uncertainty principle, emerged by a different approaches of quantum gravity within Planck scale, on thermodynamic properties of photon, non-relativistic ideal gases and degenerate fermions. A modification in pressure, particle number and energy density are calculated. Astrophysical objects such as main sequence stars and white dwarfs are examined and discussed as an application. A modification in Lane-Emden equation due to a change in a polytropic relation caused by the presence of quantum gravity, is investigated. The applicable range of quantum gravity parameters is estimated. The bounds in the perturbed parameters are relatively large but it may be considered reasonable values in the astrophysical regime.

  14. Effect of Generalized Uncertainty Principle on Main-Sequence Stars and White Dwarfs

    Directory of Open Access Journals (Sweden)

    Mohamed Moussa

    2015-01-01

    Full Text Available This paper addresses the effect of generalized uncertainty principle, emerged from different approaches of quantum gravity within Planck scale, on thermodynamic properties of photon, nonrelativistic ideal gases, and degenerate fermions. A modification in pressure, particle number, and energy density are calculated. Astrophysical objects such as main-sequence stars and white dwarfs are examined and discussed as an application. A modification in Lane-Emden equation due to a change in a polytropic relation caused by the presence of quantum gravity is investigated. The applicable range of quantum gravity parameters is estimated. The bounds in the perturbed parameters are relatively large but they may be considered reasonable values in the astrophysical regime.

  15. Corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle

    CERN Document Server

    Feng, Z W; Zu, X T

    2016-01-01

    We investigate the thermodynamics of Schwarzschild-Tangherlini black hole in the context of the generalized uncertainty principle. The corrections to the Hawking temperature, entropy and the heat capacity are obtained via the modified Hamilton-Jacobi equation. These modifications show that the GUP changes the evolution of Schwarzschild-Tangherlini black hole. Specially, the GUP effect becomes susceptible when the black hole evaporates down to the order of Planck scale, it makes the Hawking radiating stop and leads to remnant. It finds the endpoint of evaporation is a Planck-scale remnant with zero heat capacity. Those phenomenons imply that the GUP may give a way to solve the information. Besides, we also analysis the possibilities to find the black hole at LHC, and show that the black hole can not be produced in the recent LHC.

  16. General proof of the entropy principle for self-gravitating fluid in f(R) Gravity

    CERN Document Server

    Fang, Xiongjun; Jing, Jiliang

    2015-01-01

    For a static self-gravitating perfect fluid system in $f(R)$ gravity, we first show that in a spherical symmetric spacetime, the Tolman-Oppenheimer-Volkoff equation can be obtained by thermodynamical method. We then prove that the maximum entropy principle is also valid for $f(R)$ gravity in general spacetimes. Which means that if the Einstein constraint equation is satisfied and the temperature of fluid obeys Tolmans law, the extrema of total entropy implies other components of gravitational equations. Conversely, if $f(R)$ gravitational equations hold, the total entropy of the fluid should be extremum. Our work reveals the relationship between $f(R)$ gravity and thermodynamics, and implies that there is no need to modify entropy for perfect fluid in $f(R)$ gravity.

  17. A general "bang-bang" principle for predicting the maximum of a random walk

    CERN Document Server

    Allaart, Pieter C

    2009-01-01

    Let $(B_t)_{0\\leq t\\leq T}$ be either a Bernoulli random walk or a Brownian motion with drift, and let $M_t:=\\max\\{B_s: 0\\leq s\\leq t\\}$, $0\\leq t\\leq T$. This paper solves the general optimal prediction problem \\sup_{0\\leq\\tau\\leq T}\\sE[f(M_T-B_\\tau)], where the supremum is over all stopping times $\\tau$ adapted to the natural filtration of $(B_t)$, and $f$ is a nonincreasing convex function. The optimal stopping time $\\tau^*$ is shown to be of "bang-bang" type: $\\tau^*\\equiv 0$ if the drift of the underlying process $(B_t)$ is negative, and $\\tau^*\\equiv T$ is the drift is positive. This result generalizes recent findings by S. Yam, S. Yung and W. Zhou [{\\em J. Appl. Probab.} {\\bf 46} (2009), 651--668] and J. Du Toit and G. Peskir [{\\em Ann. Appl. Probab.} {\\bf 19} (2009), 983--1014], and provides additional mathematical justification for the dictum in finance that one should sell bad stocks immediately, but keep good ones as long as possible.

  18. Encapsulation of C60 fullerenes into single-walled carbon nanotubes: Fundamental mechanical principles and conventional applied mathematical modeling

    Science.gov (United States)

    Baowan, Duangkamon; Thamwattana, Ngamta; Hill, James M.

    2007-10-01

    A well-known self-assembled hybrid carbon nanostructure is a nanopeapod which may be regarded as the prototype nanocarrier for drug delivery. While the investigation of the packing of C60 molecules inside a carbon nanotube is usually achieved through either experimentation or large scale computation, this paper adopts elementary mechanical principles and classical applied mathematical modeling techniques to formulate explicit analytical criteria and ideal model behavior for such encapsulation. In particular, we employ the Lennard-Jones potential and the continuum approximation to determine three encapsulation mechanisms for a C60 fullerene entering a tube: (i) through the tube open end (head-on), (ii) around the edge of the tube open end, and (iii) through a defect opening on the tube wall. These three encapsulation mechanisms are undertaken for each of the three specific carbon nanotubes (10,10), (16,16), and (20,20). We assume that all configurations are in vacuum and the C60 fullerene is initially at rest. Double integrals are performed to determine the energy of the system and analytical expressions are obtained in terms of hypergeometric functions. Our results suggest that the C60 fullerene is most likely to be encapsulated by head-on through the open tube end and that encapsulation around the tube edge is least likely to occur because of the large van der Waals energy barriers which exist at the tube ends.

  19. Principle of frequency selection of terminology and general economic vocabulary for economic textbook for translation

    OpenAIRE

    Golandam А. K.

    2012-01-01

    Due to the rapid development of technology and increase production increased practical importance economic translation. This article discusses the frequency of words on the principle of selection economic translation.

  20. Principle of frequency selection of terminology and general economic vocabulary for economic textbook for translation

    Directory of Open Access Journals (Sweden)

    Golandam А. K.

    2012-06-01

    Full Text Available Due to the rapid development of technology and increase production increased practical importance economic translation. This article discusses the frequency of words on the principle of selection economic translation.

  1. Some studies on mathematical models for general elastic multi-structures

    Institute of Scientific and Technical Information of China (English)

    HUANG Jianguo; SHI Zhongci; XU Yifeng

    2005-01-01

    The aim of this paper is to study the static problem about a general elastic multi-structure composed of an arbitrary number of elastic bodies, plates and rods. The mathematical model is derived by the variational principle and the principle of virtual work in a vector way. The unique solvability of the resulting problem is proved by the Lax-Milgram lemma after the presentation of a generalized Korn's inequality on general elastic multi-structures. The equilibrium equations are obtained rigorously by only assuming some reasonable regularity of the solution. An important identity is also given which is essential in the finite element analysis for the problem.

  2. General principles and approaches to wound prevention and care at end of life: an overview .

    Science.gov (United States)

    Langemo, Diane

    2012-05-01

    The incidence and prevalence of wounds in persons at the end of life is largely unknown, but wounds are estimated to occur in at least one third of hospice patients. At the end of life, healthcare professionals must help the patient and/ or family decide whether the goals of wound prevention and care should focus on healing or palliation. At all times, it is important to consider that a palliative approach does not negate the potential for wound improvement or even closing before death. A review of the literature suggests that, in general, few differences exist between the general principles of wound prevention and care and an optimal palliative care plan. For example, maintenance of a moist wound environment is recommended to facilitate healing in general protocols of care. In end-of-life patients, dressings should be used for general comfort and prevention of skin exposure to wound exudate and to reduce the number of potentially painful dressing changes. Risk factors for tissue breakdown and pressure ulcer development are also similar. Palliative care patients with limited mobility and physical activity are at highest risk for developing pressure ulcers, but measures to help prevent these wounds may have to be adjusted to meet the overall goals of palliative care for a particular patient. Wounds encountered mainly in cancer patients - eg, fungating and radiation wounds - can pose important challenges for healthcare professionals and are very stressful for the patient. Pressure ulcers, fungating, and radiation wounds at the end of life are to be managed palliatively with the overall goal to minimize pain and odor, enhance comfort, and potentially improve the condition of the ulcer. Although research remains limited, it is clear the clinician and patient must balance best wound prevention and management practices while promoting patient dignity, self-esteem, and quality of life.

  3. [From the Principle of Beneficence to the Principle of Autonomy. Assessment of Patients' Mental Competency in the General Hospital].

    Science.gov (United States)

    Diana, Restrepo B; Carlos, Cardeño C; Marle, Duque G; Santiago, Jaramillo

    2012-06-01

    Refusing a medical procedure is a valid way of exercising every patient's right to autonomy. From the legal point of view, autonomy is based on the right to privacy. In recent decades the legal right to self-determination has gradually expanded and today patients in full possession of their mental faculties, have the moral and legal right to make their own decisions and these decisions take precedence over physician and family. Often liaison psychiatrists are called in to assess the mental competence of patients in the general hospital. To determine the psychiatrist's role in evaluating these patients. The assessment of a patient's ability to decide and self-determine is a common clinical problem in general hospitals. Evaluation of these patients requires a proper understanding of the philosophical, ethical, and legal issues that guide the appropriate treatment of these complex clinical problems. Copyright © 2012 Asociación Colombiana de Psiquiatría. Publicado por Elsevier España. All rights reserved.

  4. Principles of Quantum Mechanics

    Science.gov (United States)

    Landé, Alfred

    2013-10-01

    Preface; Introduction: 1. Observation and interpretation; 2. Difficulties of the classical theories; 3. The purpose of quantum theory; Part I. Elementary Theory of Observation (Principle of Complementarity): 4. Refraction in inhomogeneous media (force fields); 5. Scattering of charged rays; 6. Refraction and reflection at a plane; 7. Absolute values of momentum and wave length; 8. Double ray of matter diffracting light waves; 9. Double ray of matter diffracting photons; 10. Microscopic observation of ρ (x) and σ (p); 11. Complementarity; 12. Mathematical relation between ρ (x) and σ (p) for free particles; 13. General relation between ρ (q) and σ (p); 14. Crystals; 15. Transition density and transition probability; 16. Resultant values of physical functions; matrix elements; 17. Pulsating density; 18. General relation between ρ (t) and σ (є); 19. Transition density; matrix elements; Part II. The Principle of Uncertainty: 20. Optical observation of density in matter packets; 21. Distribution of momenta in matter packets; 22. Mathematical relation between ρ and σ; 23. Causality; 24. Uncertainty; 25. Uncertainty due to optical observation; 26. Dissipation of matter packets; rays in Wilson Chamber; 27. Density maximum in time; 28. Uncertainty of energy and time; 29. Compton effect; 30. Bothe-Geiger and Compton-Simon experiments; 31. Doppler effect; Raman effect; 32. Elementary bundles of rays; 33. Jeans' number of degrees of freedom; 34. Uncertainty of electromagnetic field components; Part III. The Principle of Interference and Schrödinger's equation: 35. Physical functions; 36. Interference of probabilities for p and q; 37. General interference of probabilities; 38. Differential equations for Ψp (q) and Xq (p); 39. Differential equation for фβ (q); 40. The general probability amplitude Φβ' (Q); 41. Point transformations; 42. General theorem of interference; 43. Conjugate variables; 44. Schrödinger's equation for conservative systems; 45. Schr

  5. The contribution of general cognitive abilities and approximate number system to early mathematics.

    Science.gov (United States)

    Passolunghi, Maria Chiara; Cargnelutti, Elisa; Pastore, Massimiliano

    2014-12-01

    Math learning is a complex process that entails a wide range of cognitive abilities to be fulfilled. There is sufficient evidence that both general and specific cognitive skills assume a fundamental role, despite the absence of shared consensus about the relative extent of their involvement. Moreover, regarding general abilities, there is no agreement about the recruitment of the different memory components or of intelligence. In relation to specific factors, great debate subsists regarding the role of the approximate number system (ANS). Starting from these considerations, we wanted to conduct a wide assessment of memory components and ANS, by controlling for the effects associated with intelligence and also exploring possible relationships between all precursors. To achieve this purpose, a sample of 157 children was tested at both beginning and end of their Grade 1. Both general (memory and intelligence) and specific (ANS) precursors were evaluated by a wide battery of tests and put in relation to concurrent and subsequent math skills. Memory was explored in passive and active aspects involving both verbal and visuo-spatial components. Path analysis results demonstrated that memory, and especially the more active processes, and intelligence were the strongest precursors in both assessment times. ANS had a milder role which lost significance by the end of the school year. Memory and ANS seemed to influence early mathematics almost independently. Both general and specific precursors seemed to have a crucial role in early math competences, despite the lower involvement of ANS. © 2014 The British Psychological Society.

  6. Lorentz Transformation and General Covariance Principle

    CERN Document Server

    Kleyn, Aleks

    2008-01-01

    I tell about different mathematical tool that is important in general relativity. The text of the book includes definition of geometrical object, concept of reference frame, geometry of metric-affinne manifold. Using this concept I learn few physical applications: dynamics and Lorentz transformation in gravitational fields, Doppler shift. A reference frame in event space is a smooth field of orthonormal bases. Every reference frame is equipped by anholonomic coordinates. Using anholonomic coordinates allows to find out relative speed of two observers and appropriate Lorentz transformation. Synchronization of a reference frame is an anholonomic time coordinate. Simple calculations show how synchronization influences time measurement in the vicinity of the Earth. Measurement of Doppler shift from the star orbiting the black hole helps to determine mass of the black hole. We call a manifold with torsion and nonmetricity the metric\\hyph affine manifold. The nonmetricity leads to a difference between the auto para...

  7. Novice Mathematics Teachers' Use of Technology to Enhance Student Engagement, Questioning, Generalization, and Conceptual Understanding

    Science.gov (United States)

    Fraser, Virginia; Garofalo, Joe

    2015-01-01

    The purpose of this study was to describe how and why novice mathematics teachers incorporated technology-generated representations in their instruction. The participants in the study were graduates of a technology-rich mathematics teacher educator program. The teachers were interviewed at the beginning and end of the study concerning their…

  8. Principles of crop modeling and simulation: I. uses of mathematical models in agricultural science

    Directory of Open Access Journals (Sweden)

    Dourado-Neto D.

    1998-01-01

    Full Text Available Modeling techniques applied to agriculture can be useful to define research priorities and understanding the basic interactions of the soil-plant-atmosphere system. Using a model to estimate the importance and the effect of certain parameters, a researcher can notice which factors can be most useful. The modeler should define his objectives before beginning his work and construct a model that fulfills the proposed objectives.

  9. APPLICATION OF THE PRINCIPLE "FROM GENERAL TO PARTICULAR" IN TRAINING YOUNG ARTISTS FOR PLEIN-AIR PRACTICE

    Directory of Open Access Journals (Sweden)

    Lyudmila Sergeevna FILIPPOVA

    2015-01-01

    Full Text Available The article highlights the principle "from General to Particular" as a basic principle in a variety of artistic activities, in teaching visual art literacy, in particular, and training novice painters for plein-air practice. The article is aimed at providing assistance and practical recommendations in training students for plein-air practice. In the article the author describes the emergence of the principle "from Simple to Complex" ("from General to Particular" since ancient times, its development during the Renaissance and its relevance in the modern system of teaching fine arts. The article reflects the aesthetic component of this principle within the frame of the world order system in general. The author shows concrete examples of application of the principle "from General to Particular " or "from Simple to Complex" in teaching composition finding the composition center and subordination to it of all parts of the composition; academic drawing – analysis of objects and shapes, tonal drawing, as well as academic painting, we mean the general coloring of the painting. 

  10. 43 CFR 24.3 - General jurisdictional principles.

    Science.gov (United States)

    2010-10-01

    ... 43 Public Lands: Interior 1 2010-10-01 2010-10-01 false General jurisdictional principles. 24.3 Section 24.3 Public Lands: Interior Office of the Secretary of the Interior DEPARTMENT OF THE INTERIOR FISH AND WILDLIFE POLICY: STATE-FEDERAL RELATIONSHIPS § 24.3 General jurisdictional principles. (a)...

  11. Teaching and Assessment of Mathematical Principles for Software Correctness Using a Reasoning Concept Inventory

    Science.gov (United States)

    Drachova-Strang, Svetlana V.

    2013-01-01

    As computing becomes ubiquitous, software correctness has a fundamental role in ensuring the safety and security of the systems we build. To design and develop software correctly according to their formal contracts, CS students, the future software practitioners, need to learn a critical set of skills that are necessary and sufficient for…

  12. Slope across the Curriculum: Principles and Standards for School Mathematics and Common Core State Standards

    Science.gov (United States)

    Nagle, Courtney; Moore-Russo, Deborah

    2014-01-01

    This article provides an initial comparison of the Principles and Standards for School Mathematics and the Common Core State Standards for Mathematics by examining the fundamental notion of slope. Each set of standards is analyzed using eleven previously identified conceptualizations of slope. Both sets of standards emphasize Functional Property,…

  13. Devising Principles of Design for Numeracy Tasks

    Science.gov (United States)

    Geiger, Vince; Forgasz, Helen; Goos, Merrilyn; Bennison, Anne

    2014-01-01

    Numeracy is a fundamental component of the Australian National Curriculum as a General Capability identified in each F-10 subject. In this paper, we consider the principles of design necessary for the development of numeracy tasks specific to subjects other than mathematics--in this case, the subject of English. We explore the nature of potential…

  14. Hydrogen influence on generalized stacking fault of zirconium basal plane: First-principles calculation study

    CERN Document Server

    Songjun, Hou; Zhi, Zeng

    2015-01-01

    The infuence of hydrogen on the generalized stacking fault (GSF) energy of the basal plane along the and directions in the hcp Zr were investigated by using the first-principles calculation method. The modification of the GSF energy were studied with respect to the different distances of H atoms away from the slip plane and hydrogen content there. The calculation results have shown that the GSF energy along the direction drastically reduces when H atoms locate nearby the slip plane. But H atoms slightly decrease the GSF barrier for the slipping case. Meanwhile, with the increase of hydrogen density around the slip plane, the GSF energies along both the shift directions further reduced. The physical origin of the reduction of GSF energy due to the existence of hydrogen atoms in Zr was analyzed based on the Bader charge method. It is interpreted by the Coulomb repulsion of the Zr atoms besides of the slip plane due to the charge transfer from Zr to H atoms.

  15. Is Turing's Thesis the Consequence of a More General Physical Principle?

    CERN Document Server

    Szudzik, Matthew P

    2012-01-01

    We discuss historical attempts to formulate a physical hypothesis from which Turing's thesis may be derived, and also discuss some related attempts to establish the computability of mathematical models in physics. We show that these attempts are all related to a single, unified hypothesis.

  16. Lorentz Invariance Violation and Generalized Uncertainty Principle

    CERN Document Server

    Tawfik, A; Ali, A Farag

    2016-01-01

    Recent approaches for quantum gravity are conjectured to give predictions for a minimum measurable length, a maximum observable momentum and an essential generalization for the Heisenberg uncertainty principle (GUP). The latter is based on a momentum-dependent modification in the standard dispersion relation and leads to Lorentz invariance violation (LIV). The main features of the controversial OPERA measurements on the faster-than-light muon neutrino anomaly are used to calculate the time of flight delays $\\Delta t$ and the relative change $\\Delta v$ in the speed of neutrino in dependence on the redshift $z$. The results are compared with the OPERA measurements. We find that the measurements are too large to be interpreted as LIV. Depending on the rest mass, the propagation of high-energy muon neutrino can be superluminal. The comparison with the ultra high energy cosmic rays seems to reveals an essential ingredient of the approach combining string theory, loop quantum gravity, black hole physics and doubly ...

  17. Generalized Uncertainty Principle: Approaches and Applications

    CERN Document Server

    Tawfik, Abdel Nasser

    2014-01-01

    We review some highlights from the String theory, the black hole physics and the doubly special relativity and some thought experiments which were suggested to probe the shortest distances and/or maximum momentum at the Planck scale. Furthermore, all models developed in order to implement the minimal length scale and/or the maximum momentum in different physical systems are analysed. We compare between them. They entered the literature as the Generalized Uncertainty Principle (GUP) assuming modified dispersion relation, and therefore are allowed for a wide range of Applications in estimating, for example, the inflationary parameters, Lorentz invariance violation, black hole thermodynamics, Saleker--Wigner inequalities, entropic nature of gravitational laws, Friedmann equations, minimal time measurement and thermodynamics of the high--energy collisions. One of the higher--order GUP approaches gives predictions for the minimal length uncertainty. A second one predicts a maximum momentum and a minimal length unc...

  18. The Development of General Principles for EU Competition Law Enforcement - The protection of legal professional privilege

    NARCIS (Netherlands)

    Frese, M.J.

    2011-01-01

    This paper discusses the scope of the EU principle of legal professional privilege ('LPP') and the mechanisms for bottom-up integration. LPP refers to the confidential nature of certain written communications between lawyer and client. Bottom-up integration is the process whereby domestic legal prin

  19. The development of general principles for EU competition law enforcement - The protection of legal professional privilege

    NARCIS (Netherlands)

    Frese, M.J.

    2011-01-01

    This paper discusses the scope of the EU principle of legal professional privilege ('LPP') and the mechanisms for bottom-up integration. LPP refers to the confidential nature of certain written communications between lawyer and client. Bottom-up integration is the process whereby domestic legal prin

  20. The Development of General Principles for EU Competition Law Enforcement - The protection of legal professional privilege

    NARCIS (Netherlands)

    Frese, M.J.

    2011-01-01

    This paper discusses the scope of the EU principle of legal professional privilege ('LPP') and the mechanisms for bottom-up integration. LPP refers to the confidential nature of certain written communications between lawyer and client. Bottom-up integration is the process whereby domestic legal

  1. The application of a general mathematical morphological particle as a novel indicator for the performance degradation assessment of a bearing

    Science.gov (United States)

    Li, Hongru; Wang, Yukui; Wang, Bing; Sun, Jian; Li, Yaolong

    2017-01-01

    Bearing performance degradation assessment is a key step of condition-based maintenance. In this paper, a novel indicator of bearing performance degradation assessment is presented based on the mathematical morphology (MM) theory for higher efficiency. Because the traditional mathematical morphology particle (MMP) is unable to exactly describe the bearing's performance degradation, we extended its definition to the general space to address the limited ability of the former definition. On the basis of the innovative definition, we used the morphology erosion operation instead of the morphology open operation to calculate the general mathematical morphology particle (GMMP) of the bearing's whole life data. The analysis of the simulation and practical application demonstrated that the proposed index is feasible and effective to indicate the performance degradation of the bearing.

  2. Generalized uncertainty principle and black hole thermodynamics

    CERN Document Server

    Gangopadhyay, Sunandan; Saha, Anirban

    2013-01-01

    We study the Schwarzschild and Reissner-Nordstr\\"{o}m black hole thermodynamics using the simplest form of the generalized uncertainty principle (GUP) proposed in the literature. The expressions for the mass-temperature relation, heat capacity and entropy are obtained in both cases from which the critical and remnant masses are computed. Our results are exact and reveal that these masses are identical and larger than the so called singular mass for which the thermodynamics quantities become ill-defined. The expression for the entropy reveals the well known area theorem in terms of the horizon area in both cases upto leading order corrections from GUP. The area theorem written in terms of a new variable which can be interpreted as the reduced horizon area arises only when the computation is carried out to the next higher order correction from GUP.

  3. From Mathematical Monsters to Generalized Scale Invariance in Geophysics: Highlights of the Multifractal Saga

    Science.gov (United States)

    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.

  4. Implementation of Supply Chain Management (SCM in pharmaceutical company, general principles and case study

    Directory of Open Access Journals (Sweden)

    Zoran Nakov

    2014-12-01

    Full Text Available Supply Chain Management (SCM in pharmaceutical industry is defined as a “responsible SCM” and its implementation is according to the principles of: business ethics, rights of labor and principles of healthy and safe working environment. Pharmaceutical companies with implemented “responsible SCM” have to use management systems to facilitate continuous improvement in accordance with their working principles. The main purpose of this management system is to ensure the consistency, reliability and continuous improvement of all workflows within an organization.The analyzed case describes the project of European generic pharmaceutical company, which intends to implement best practice SCM operations for five European manufacturing sites and European logistics organizations (active ingredients supply, distribution centers, affiliate customers and third party manufacturers. The main objectives of the project were the creation of the future improved To-Be situation through implementation of new SCM models to the existing To-Day situation.

  5. [Expectation for JSPN's contribution following revision of General Principles for Suicide Prevention Policy].

    Science.gov (United States)

    Takeshima, Tadashi

    2014-01-01

    Japan's national suicide prevention efforts following the 1998 surge in the number of suicide deaths can be divided into three stages: the first stage administrated mainly by the health ministry (1998-2005), the second and transitional stage when it was upgraded to a full governmental issue (2005-2006), and the third and present stage following the promulgation of the Basic Act for Suicide Prevention in 2006. In June 2007, the General Principles for Suicide Prevention Policy (GPSP), a guideline on how the national government should act to promote suicide prevention, was announced, urging local governments to tackle the problem of suicide. The GPSP was set to be revised after around five years from its publication, and, thus, a revised GPSP was published in August of 2012. Based on the five years of challenges, the revised GPSP states that suicide prevention strategies should move on to more practical and community-oriented ones. The National Center of Neurology and Psychiatry (NCNP), through its Center for Suicide Prevention, played a coordinating role in putting forward a proposal for the revision, working with 29 academic societies including the Japanese Society of Psychiatry and Neurology (JSPN). In February 2013, by further developing the relationships with academic societies, etc., which were forged in the above-mentioned process, NCNP set up the Preparatory Committee for the Evidence-based Suicide Prevention Consortium in order to contribute to suicide prevention strategies from an academic perspective. Meanwhile, in the World Health Organization's 66th World Health Assembly held in May 2013, the Comprehensive Mental Health Action Plan 2013-2020 was approved. Its core principle is "no health without mental health", and it has the following four objectives: (1) to strengthen effective leadership and governance for mental health; (2) to provide comprehensive, integrated, and responsive mental health and social care services in community-based settings; (3) to

  6. Development of a mathematical model for a single alkaline membrane fuel cell (AMFC) with fixed volume and general square section

    Energy Technology Data Exchange (ETDEWEB)

    Sommer, Elise Meister; Vargas, Jose Viriato Coelho [Universidade Federal do Parana (UFPR), Curitiba, PR (Brazil). Centro Politecnico. Setor de Tecnologia], Email: jvargas@demec.ufpr.br; Martins, Lauber de Souza; Ordonez, Juan Carlos [Florida State University, Tallahasse, FL (United States). Dept. of Mechanical Engineering and Center for Advanced Power Systems], Emails: martins@caps.fsu.edu, ordonez@eng.fsu.edu

    2010-07-01

    The Alkaline Membrane Fuel Cell (AMFC) is a recently developed fuel cell type, which has shown good experimental results in the laboratory. This paper introduces a mathematical model for the single AMFC with fixed volume and general square section. The main objective is to produce a reliable model (and computationally fast) to predict the response of the single AMFC according to variations of the physical properties of manufacturing materials and operating and design parameters. The model is based on mass, momentum, energy and species conservation, and electrochemical principles, and takes into account pressure drops in the gas channels and temperature gradients with respect to space in the flow direction. The simulation results comprise the AMFC temperature distribution, net power and polarization curves. It is shown that temperature spatial gradients and gas channels pressure drops significantly affect fuel cell performance. Such effects are not usually investigated in the models available in the literature, with most of them assuming uniform pressure and temperature operation. Therefore, the model is expected to be a useful tool for AMFC design and optimization. (author)

  7. Pleasure and pain: teaching neuroscientific principles of hedonism in a large general education undergraduate course.

    Science.gov (United States)

    Bodnar, Richard J; Stellar, James R; Kraft, Tamar T; Loiacono, Ilyssa; Bajnath, Adesh; Rotella, Francis M; Barrientos, Alicia; Aghanori, Golshan; Olsson, Kerstin; Coke, Tricia; Huang, Donald; Luger, Zeke; Mousavi, Seyed Ali Reza; Dindyal, Trisha; Naqvi, Naveen; Kim, Jung-Yo

    2013-01-01

    In a large (250 registrants) general education lecture course, neuroscience principles were taught by two professors as co-instructors, starting with simple brain anatomy, chemistry, and function, proceeding to basic brain circuits of pleasure and pain, and progressing with fellow expert professors covering relevant philosophical, artistic, marketing, and anthropological issues. With this as a base, the course wove between fields of high relevance to psychology and neuroscience, such as food addiction and preferences, drug seeking and craving, analgesic pain-inhibitory systems activated by opiates and stress, neuroeconomics, unconscious decision-making, empathy, and modern neuroscientific techniques (functional magnetic resonance imaging and event-related potentials) presented by the co-instructors and other Psychology professors. With no formal assigned textbook, all lectures were PowerPoint-based, containing links to supplemental public-domain material. PowerPoints were available on Blackboard several days before the lecture. All lectures were also video-recorded and posted that evening. The course had a Facebook page for after-class conversation and one of the co-instructors communicated directly with students on Twitter in real time during lecture to provide momentary clarification and comment. In addition to graduate student Teaching Assistants (TAs), to allow for small group discussion, ten undergraduate students who performed well in a previous class were selected to serve as discussion leaders. The Discussion Leaders met four times at strategic points over the semester with groups of 20-25 current students, and received one credit of Independent Study, thus creating a course within a course. The course grade was based on weighted scores from two multiple-choice exams and a five-page writing assignment in which each student reviewed three unique, but brief original peer-review research articles (one page each) combined with expository writing on the first

  8. The Real and the Mathematical in Quantum Modeling: From Principles to Models and from Models to Principles

    Directory of Open Access Journals (Sweden)

    Arkady Plotnitsky

    2017-06-01

    Full Text Available The history of mathematical modeling outside physics has been dominated by the use of classical mathematical models, C-models, primarily those of a probabilistic or statistical nature. More recently, however, quantum mathematical models, Q-models, based in the mathematical formalism of quantum theory have become more prominent in psychology, economics, and decision science. The use of Q-models in these fields remains controversial, in part because it is not entirely clear whether Q-models are necessary for dealing with the phenomena in question or whether C-models would still suffice. My aim, however, is not to assess the necessity of Q-models in these fields, but instead to reflect on what the possible applicability of Q-models may tell us about the corresponding phenomena there, vis-à-vis quantum phenomena in physics. In order to do so, I shall first discuss the key reasons for the use of Q-models in physics. In particular, I shall examine the fundamental principles that led to the development of quantum mechanics. Then I shall consider a possible role of similar principles in using Q-models outside physics. Psychology, economics, and decision science borrow already available Q-models from quantum theory, rather than derive them from their own internal principles, while quantum mechanics was derived from such principles, because there was no readily available mathematical model to handle quantum phenomena, although the mathematics ultimately used in quantum did in fact exist then. I shall argue, however, that the principle perspective on mathematical modeling outside physics might help us to understand better the role of Q-models in these fields and possibly to envision new models, conceptually analogous to but mathematically different from those of quantum theory, that may be helpful or even necessary there or in physics itself. I shall, in closing, suggest one possible type of such models, singularized probabilistic models, SP-models, some

  9. Technology, Active Learning, and Retention in General Education Mathematics

    Science.gov (United States)

    Levi, Inessa; Chahine, Iman; Garrett, Lauretta; Wang, Haifeng

    2016-01-01

    Difficulties in general education mathematics courses may be attributed to many factors, primarily low proficiency in symbol manipulation, a perception that mathematics is an area which eludes mastery, a lack of engagement and effective practice. Educational technology can be a powerful aid in overcoming these factors. This work describes the…

  10. A Generalized Mathematical Model for the Fracture Problem of the Suspended Highway

    Directory of Open Access Journals (Sweden)

    Zhao Ying

    2017-01-01

    Full Text Available In order to answer dangling fracture problems of highway, the suspended pavement equivalent for non - suspended pavement, through the special boundary conditions has been suspended highway stress field of expression, in accordance with the 3D fracture model of crack formation, and establish a vacant, a general mathematics model for fracture problems of highway and analysis in highway suspended segment weight and vehicle load limit of highway capacity of Pu For overturning road inPu is less than the force of carrying more than compared to the work and fruit Bridge Hydropower Station Road engineering examples to verify suspended highway should force field expressions for the correctness and applicability. The results show that: when the hanging ratio R 0. 243177 limits of Pu design axle load 100kN. When the vertical crack in the vacant in the direction of length greater than 0. 1, the ultimate bearing capacity is less than the design axle load 100kN; when the hanging ratio R is less than 0. 5, the road to local fracture, the ultimate bearing capacity of suspended stress field expressions in solution; when the hanging ratio is greater than or equal to 0. 5, the road does not reach the limit bearing capacity of the whole body; torque shear surface of the effect is far less than the bending moments on shear planes.

  11. How was Mathematics taught in the Arab-Islamic Civilization? – Part 1: The Pedagogical Principles of Teaching & Learning

    Directory of Open Access Journals (Sweden)

    Mr. Moktadir ZERROUKI

    2015-12-01

    Full Text Available No matter how societies have differed throughout history in their values, cultures, politics and systems of life, there has always been a common consensus regarding the importance of mathematics and its role in the social life. Arab-Islamic civilisation -like many others- had a reasonable command of many aspects of mathematics. This was apparent in various applications including not just in everyday life, civil and business transactions, and financial dealings, but also in certain religious rituals. This paper aims to highlight the important position that the scholars in the Muslim East and West attributed to mathematics, both in terms of teaching and practice. Furthermore, this work investigates the methodology of teaching fractions in the Arab-Islamic society. The latter is found to be one of the mathematical subjects that has been recommended to be taught to learners at their earliest learning stages, especially given the importance of fractions in everyday transactions such as calculating shares of a legacy. The paper also examines some of the educational requirements such as the teacher duties, student‟s qualities, education stages and what the relevant curriculum recommended by scholars during each stage. Finally, this work briefly highlights one of the contemporary issues which is the difficulty of teaching fractions for young learners and how this was addressed in the past by one of the early Muslim Arab mathematicians through the use of simple poetry.

  12. The application of diagnostic reference levels: General principles and an Irish perspective

    Energy Technology Data Exchange (ETDEWEB)

    Matthews, Kate [School of Medicine and Medical Science, Health Sciences Centre, University College Dublin, Belfield, Dublin 4 (Ireland)], E-mail: kate.matthews@ucd.ie; Brennan, Patrick C. [School of Medicine and Medical Science, Health Sciences Centre, University College Dublin, Belfield, Dublin 4 (Ireland)

    2009-05-15

    The principles of justification and optimisation, and the establishment and use of diagnostic reference levels (DRLs) are core tenets of the European Medical Exposures Directive [Council Directive 97/43], and ensuing legislation across Europe. This is the third in a series of three review articles: the previous two discussed the principles of justification and optimisation, the current review covers the concept of DRLs. In this paper, a brief synopsis of the history of DRLs is presented, and their possible applications are outlined. Approaches and progress with DRLs in a number of European countries, as derived from published literature, are summarised and a comparison of the approaches highlights some practical issues in using DRLs. Irish data are then considered in the context of literature ensuing from SI478 of 2002, and relating to the establishment of national diagnostic reference levels. The reviewed literature supports the opinion that national DRLs are preferable to those drawn from pan-European dose data.

  13. Proposal to change General Consideration 5 and Principle 2 of the International Code of Nomenclature of Prokaryotes.

    Science.gov (United States)

    Oren, Aharon; Garrity, George M

    2014-01-01

    A proposal is submitted to the ICSP to change the wording of General Consideration 5 of the International Code of Nomenclature of Prokaryotes (ICNP), deleting the words Schizophycetes, Cyanophyceae and Cyanobacteria from the groups of organisms whose nomenclature is covered by the Code. It is further proposed to change the terms Zoological Code and International Code of Botanical Nomenclature in General Consideration 5 and in Principle 2 to International Code of Zoological Nomenclature and International Code of Nomenclature for algae, fungi and plants, respectively.

  14. When psychologists work with religious clients: applications of the general principles of ethical conduct.

    Science.gov (United States)

    Yarhouse, M A; VanOrman, B T

    1999-12-01

    Psychologists become more effective and relevant when they appreciate that many clients hold religious values and commitments. Greater awareness of religion and religious values in the lives of clients may aid clinicians' efforts to provide more accurate assessments and effective treatment plans. The authors use the American Psychological Association's (1992) "Ethical Principles of Psychologists and Code of Conduct" as a framework to examine many of the ethical issues relevant when psychologists work with religious clients. This article also provides suggestions for ways in which clinicians may obtain the skills needed to offer competent assessments and interventions with religiously committed clients.

  15. DETERMINATION ALGORITHM OF OPTIMAL GEOMETRICAL PARAMETERS FOR COMPONENTS OF FREIGHT CARS ON THE BASIS OF GENERALIZED MATHEMATICAL MODELS

    Directory of Open Access Journals (Sweden)

    O. V. Fomin

    2013-10-01

    Full Text Available Purpose. Presentation of features and example of the use of the offered determination algorithm of optimum geometrical parameters for the components of freight cars on the basis of the generalized mathematical models, which is realized using computer. Methodology. The developed approach to search for optimal geometrical parameters can be described as the determination of optimal decision of the selected set of possible variants. Findings. The presented application example of the offered algorithm proved its operation capacity and efficiency of use. Originality. The determination procedure of optimal geometrical parameters for freight car components on the basis of the generalized mathematical models was formalized in the paper. Practical value. Practical introduction of the research results for universal open cars allows one to reduce container of their design and accordingly to increase the carrying capacity almost by100 kg with the improvement of strength characteristics. Taking into account the mass of their park this will provide a considerable economic effect when producing and operating. The offered approach is oriented to the distribution of the software packages (for example Microsoft Excel, which are used by technical services of the most enterprises, and does not require additional capital investments (acquisitions of the specialized programs and proper technical staff training. This proves the correctness of the research direction. The offered algorithm can be used for the solution of other optimization tasks on the basis of the generalized mathematical models.

  16. Temperature effects on the generalized planar fault energies and twinnabilities of Al, Ni and Cu: First principles calculations

    KAUST Repository

    Liu, Lili

    2014-06-01

    Based on the quasiharmonic approach from first-principles phonon calculations, the volume versus temperature relations for Al, Ni and Cu are obtained. Using the equilibrium volumes at temperature T, the temperature dependences of generalized planar fault energies have also been calculated by first-principles calculations. It is found that the generalized planar fault energies reduce slightly with increasing temperature. Based on the calculated generalized planar fault energies, the twinnabilities of Al, Ni and Cu are discussed with the three typical criteria for crack tip twinning, grain boundary twinning and inherent twinning at different temperatures. The twinnabilities of Al, Ni and Cu also decrease slightly with increasing temperature. Ni and Cu have the inherent twinnabilities. But, Al does not exhibit inherent twinnability. These results are in agreement with the previous theoretical studies at 0 K and experimental observations at ambient temperature. © 2014 Elsevier B.V. All rights reserved.

  17. Mathematical foundations of thermodynamics

    CERN Document Server

    Giles, R; Stark, M; Ulam, S

    2013-01-01

    Mathematical Foundations of Thermodynamics details the core concepts of the mathematical principles employed in thermodynamics. The book discusses the topics in a way that physical meanings are assigned to the theoretical terms. The coverage of the text includes the mechanical systems and adiabatic processes; topological considerations; and equilibrium states and potentials. The book also covers Galilean thermodynamics; symmetry in thermodynamics; and special relativistic thermodynamics. The book will be of great interest to practitioners and researchers of disciplines that deal with thermodyn

  18. General principles of describing second- and higher-order null points of a potential magnetic field in 3D

    Science.gov (United States)

    Lukashenko, A. T.; Veselovsky, I. S.

    2015-12-01

    General principles of describing secondand higher-order null points of a potential magnetic field are formulated. The potential near a second-order null of the general form can be specified by a linear combination of four basic functions, the list of which is presented. Near secondand higher-order null points, field line equations often cannot be integrated analytically; however, in some cases, it is possible to present a qualitative description of the geometry of null vicinities with consideration of the behavior of field lines near rays outgoing from null, at which the field is radial or equals zero.

  19. Domain-general mediators of the relation between kindergarten number sense and first-grade mathematics achievement.

    Science.gov (United States)

    Hassinger-Das, Brenna; Jordan, Nancy C; Glutting, Joseph; Irwin, Casey; Dyson, Nancy

    2014-02-01

    Domain-general skills that mediate the relation between kindergarten number sense and first-grade mathematics skills were investigated. Participants were 107 children who displayed low number sense in the fall of kindergarten. Controlling for background variables, multiple regression analyses showed that both attention problems and executive functioning were unique predictors of mathematics outcomes. Attention problems were more important for predicting first-grade calculation performance, whereas executive functioning was more important for predicting first-grade performance on applied problems. Moreover, both executive functioning and attention problems were unique partial mediators of the relationship between kindergarten and first-grade mathematics skills. The results provide empirical support for developing interventions that target executive functioning and attention problems in addition to instruction in number skills for kindergartners with initial low number sense. Copyright © 2013 Elsevier Inc. All rights reserved.

  20. Kinship categories across languages reflect general communicative principles.

    Science.gov (United States)

    Kemp, Charles; Regier, Terry

    2012-05-25

    Languages vary in their systems of kinship categories, but the scope of possible variation appears to be constrained. Previous accounts of kin classification have often emphasized constraints that are specific to the domain of kinship and are not derived from general principles. Here, we propose an account that is founded on two domain-general principles: Good systems of categories are simple, and they enable informative communication. We show computationally that kin classification systems in the world's languages achieve a near-optimal trade-off between these two competing principles. We also show that our account explains several specific constraints on kin classification proposed previously. Because the principles of simplicity and informativeness are also relevant to other semantic domains, the trade-off between them may provide a domain-general foundation for variation in category systems across languages.

  1. Improving Awareness about the Meaning of the Principle of Mathematical Induction (Fomentar la Conciencia sobre el Significado del Principio de Inducción Matemática

    Directory of Open Access Journals (Sweden)

    Annalisa Cusi

    2009-09-01

    Full Text Available This work is based on our conviction that it is possible to minimize difficulties students face in learning the principle of mathematical induction by means of clarifying its logical aspects. Based on previous research and theory, we designed a method of fostering students’ understanding of the principle. We present results that support the effectiveness of our method with teachers in training who are not specializing in mathematics. Este trabajo está basado en nuestra convicción de que es posible minimizar las dificultades de los alumnos cuando se enfrentan al aprendizaje del principio de inducción matemática mediante la clarificación de sus aspectos lógicos. Basándonos en la investigación y teoría previas, diseñamos un método para fomentar la comprensión del principio por los alumnos. Presentamos resultados que respaldan la efectividad de nuestro método con profesores en formación no especializados en matemáticas.

  2. The generalized mathematical model of the failure of the cutting tool

    Science.gov (United States)

    Pasko, N. I.; Antsev, A. V.; Antseva, N. V.; Fyodorov, V. P.

    2017-02-01

    We offer a mathematical model which takes into account the following factors: the spread of the cutting properties of the tool, parameters spread of gear blanks and consideration of the factor of a possible fracture of the cutting wedge tool. The reliability function, taking into account the above-mentioned factors, has five parameters for which assessment we propose a method according to our experience. A numerical illustration of the method is shown in the article. We suggest using the model in the optimization mode of the cutting tool preventive measures.

  3. A generalized variational principle and theoretical model for magnetoelastic interaction of ferromagnetic bodies

    Institute of Scientific and Technical Information of China (English)

    周又和; 郑晓静

    1999-01-01

    The quantitative analysis shows that no theoretical model for 3-d magnetoelastic bodies, in literatures to date, can commonly simulate two kinds of distinct experimental phenomena on magnetoelastic interaction of ferromagnetic structures. This makes it difficult to effectively discribe the magnetoelastic mechanical behavior of structures with complex geometry, such as shells. Therefore, it is a key step for simulating magnetoelastic mechanical characteristics of structures with complex geometry to establish a 3-d model which also can commonly characterize the two distinct experimental phenomena. A theoretical model for three dimension magnetizable elastic bodies, which is commonly suitable for the two kinds of experimental phenomena on magnetoelastic interaction of ferromagnetic plates, is presented by the variational principle for the total energy functional of the coupling system of the 3-d ferromagnetic bodies. It is found that for the case of linear isotropic magnetic materials, the magnetic forces

  4. Principles of nanomagnetism

    CERN Document Server

    Guimarães, Alberto P

    2017-01-01

    This is the first monograph on nanomagnetism. It emphasizes general principles and mechanisms relevant to the understanding of the intriguing properties of nanomagnetic objects including thin films, nanoparticles, nanowires, nanodisks and nanorings.

  5. A general mathematical framework for representing soil organic matter dynamics in biogeochemistry models

    Science.gov (United States)

    Sierra, C. A.; Mueller, M.

    2013-12-01

    Recent work have highlighted the importance of nonlinear interactions in representing the decomposition of soil organic matter (SOM). It is unclear however how to integrate these concepts into larger biogeochemical models or into a more general mathematical description of the decomposition process. Here we present a mathematical framework that generalizes both previous decomposition models and recent ideas about nonlinear microbial interactions. The framework is based on a set of four basic principles: 1) mass balance, 2) heterogeneity in the decomposability of SOM, 3) transformations in the decomposability of SOM over time, 4) energy limitation of decomposers. This framework generalizes a large majority of SOM decomposition models proposed to date. We illustrate the application of this framework to the development of a continuous model that includes the ideas in the Dual Arrhenius Michaelis-Menten Model (DAMM) for explicitly representing temperature-moisture limitations of enzyme activity in the decomposition of heterogenous substrates.

  6. Generalized Uncertainty Principle: Implications for Black Hole Complementarity

    CERN Document Server

    Chen, Pisin; Yeom, Dong-han

    2014-01-01

    At the heart of the black hole information loss paradox and the firewall controversy lies the conflict between quantum mechanics and general relativity. Much has been said about quantum corrections to general relativity, but much less in the opposite direction. It is therefore crucial to examine possible corrections to quantum mechanics due to gravity. Indeed, the Heisenberg Uncertainty Principle is one profound feature of quantum mechanics, which nevertheless may receive correction when gravitational effects become important. Such generalized uncertainty principle [GUP] has been motivated from not only quite general considerations of quantum mechanics and gravity, but also string theoretic arguments. We examine the role of GUP in the context of black hole complementarity. We find that while complementarity can be violated by large N rescaling if one assumes only the Heisenberg's Uncertainty Principle, the application of GUP may save complementarity, but only if certain N-dependence is also assumed. This rais...

  7. Principles of dynamics

    CERN Document Server

    Hill, Rodney

    2013-01-01

    Principles of Dynamics presents classical dynamics primarily as an exemplar of scientific theory and method. This book is divided into three major parts concerned with gravitational theory of planetary systems; general principles of the foundations of mechanics; and general motion of a rigid body. Some of the specific topics covered are Keplerian Laws of Planetary Motion; gravitational potential and potential energy; and fields of axisymmetric bodies. The principles of work and energy, fictitious body-forces, and inertial mass are also looked into. Other specific topics examined are kinematics

  8. Intensive care and pregnancy: Epidemiology and general principles of management of obstetrics ICU patients during pregnancy.

    Science.gov (United States)

    Zieleskiewicz, Laurent; Chantry, Anne; Duclos, Gary; Bourgoin, Aurelie; Mignon, Alexandre; Deneux-Tharaux, Catherine; Leone, Marc

    2016-10-01

    In developed countries, the rate of obstetric ICU admissions (admission during pregnancy or the postpartum period) is between 0.5 and 4 per 1000 deliveries and the overall case-fatality rate is about 2%. The most two common causes of obstetric ICU admissions concerned direct obstetric pathologies: obstetric hemorrhage and hypertensive disorders of pregnancy. This review summarized the principles of management of critically ill pregnant patient. Its imply taking care of two patients in the same time. A coordinated multidisciplinary team including intensivists, anesthesiologists, obstetricians, pediatricians and pharmacists is therefore necessary. This team must work effectively together with regular staff aiming to evaluate daily the need to maintain the patient in intensive care unit or to prompt delivery. Keeping mother and baby together and fetal well-being must be balanced with the need of specialized advanced life support for the mother. The maternal physiological changes imply various consequences on management. The uterus aorto-caval compression implies tilting left the parturient. In case of cardiac arrest, uterus displacement and urgent cesarean delivery are needed. The high risk of aspiration and difficult tracheal intubation must be anticipated. Even during acute respiratory distress syndrome, hypoxemia and permissive hypercapnia must be avoided due to their negative impact on the fetus. Careful analysis of the benefit-risk ratio is needed before all drug administration. Streptococcal toxic shock syndrome and perineal fasciitis must be feared and a high level of suspicion of sepsis must be maintained. Finally the potential benefits of an ultrasound-based management are detailed.

  9. Developmental Change in the Influence of Domain-General Abilities and Domain-Specific Knowledge on Mathematics Achievement: An Eight-Year Longitudinal Study.

    Science.gov (United States)

    Geary, David C; Nicholas, Alan; Li, Yaoran; Sun, Jianguo

    2017-07-01

    The contributions of domain-general abilities and domain-specific knowledge to subsequent mathematics achievement were longitudinally assessed (n = 167) through 8(th) grade. First grade intelligence and working memory and prior grade reading achievement indexed domain-general effects and domain-specific effects were indexed by prior grade mathematics achievement and mathematical cognition measures of prior grade number knowledge, addition skills, and fraction knowledge. Use of functional data analysis enabled grade-by-grade estimation of overall domain-general and domain-specific effects on subsequent mathematics achievement, the relative importance of individual domain-general and domain-specific variables on this achievement, and linear and non-linear across-grade estimates of these effects. The overall importance of domain-general abilities for subsequent achievement was stable across grades, with working memory emerging as the most important domain-general ability in later grades. The importance of prior mathematical competencies on subsequent mathematics achievement increased across grades, with number knowledge and arithmetic skills critical in all grades and fraction knowledge in later grades. Overall, domain-general abilities were more important than domain-specific knowledge for mathematics learning in early grades but general abilities and domain-specific knowledge were equally important in later grades.

  10. General theory of cathodic and anodic stripping voltammetry at solid electrodes: mathematical modeling and numerical simulations.

    Science.gov (United States)

    Ward Jones, Sarah E; Chevallier, François G; Paddon, Christopher A; Compton, Richard G

    2007-06-01

    Theory is presented to describe the voltammetric signals associated with the stripping phase of stripping voltammetry at solid electrodes. Three mathematical models are considered, and the importance of the hemispherical diffusion associated with electrochemical dissolution of particles in the micrometer range is investigated. Model A considers a "monolayer" system where the coverage at a specific point cannot exceed a maximum value. Model B considers a thin layer of metal or metal oxide, but in contrast to model A, the maximum surface coverage is not restricted. Model C represents the stripping of a "thick layer" where the deposition is also unrestricted.

  11. Principles of musical acoustics

    CERN Document Server

    Hartmann, William M

    2013-01-01

    Principles of Musical Acoustics focuses on the basic principles in the science and technology of music. Musical examples and specific musical instruments demonstrate the principles. The book begins with a study of vibrations and waves, in that order. These topics constitute the basic physical properties of sound, one of two pillars supporting the science of musical acoustics. The second pillar is the human element, the physiological and psychological aspects of acoustical science. The perceptual topics include loudness, pitch, tone color, and localization of sound. With these two pillars in place, it is possible to go in a variety of directions. The book treats in turn, the topics of room acoustics, audio both analog and digital, broadcasting, and speech. It ends with chapters on the traditional musical instruments, organized by family. The mathematical level of this book assumes that the reader is familiar with elementary algebra. Trigonometric functions, logarithms and powers also appear in the book, but co...

  12. 34 CFR 76.530 - General cost principles.

    Science.gov (United States)

    2010-07-01

    ... 34 Education 1 2010-07-01 2010-07-01 false General cost principles. 76.530 Section 76.530... Be Met by the State and Its Subgrantees? Allowable Costs § 76.530 General cost principles. Both 34 CFR 74.27 and 34 CFR 80.22 reference the general cost principles that apply to grants, subgrants...

  13. Contributions from specific and general factors to unique deficits: two cases of mathematics learning difficulties

    Directory of Open Access Journals (Sweden)

    Vitor Geraldi Haase

    2014-02-01

    Full Text Available Mathematics learning difficulties are a highly comorbid and heterogeneous set of disorders linked to several dissociable mechanisms and endophenotypes. Two of these endophenotypes consist of primary deficits in number sense and verbal numerical representations. However, currently acknowledged endophenotypes are underspecified regarding the role of automatic vs. controlled information processing, and their description should be complemented. Two children with specific deficits in number sense and verbal numerical representations and normal or above-normal intelligence and preserved visuospatial cognition illustrate this point. Child H.V. exhibited deficits in number sense and fact retrieval. Child G.A. presented severe deficits in orally presented problems and transcoding tasks. A partial confirmation of the two endophenotypes that relate to the number sense and verbal processing was obtained, but a much more clear differentiation between the deficits presented by H.V. and G.A. can be reached by looking at differential impairments in modes of processing. H.V. is notably competent in the use of controlled processing but has problems with more automatic processes, such as nonsymbolic magnitude processing, speeded counting and fact retrieval. In contrast, G.A. can retrieve facts and process nonsymbolic magnitudes but exhibits severe impairment in recruiting executive functions and the concentration that is necessary to accomplish transcoding tasks and word problem solving. These results indicate that typical endophenotypes might be insufficient to describe accurately the deficits that are observed in children with mathematics learning abilities. However, by incorporating domain-specificity and modes of processing into the assessment of the endophenotypes, individual deficit profiles can be much more accurately described. This process calls for further specification of the endophenotypes in mathematics learning difficulties.

  14. Contributions from specific and general factors to unique deficits: two cases of mathematics learning difficulties.

    Science.gov (United States)

    Haase, Vitor G; Júlio-Costa, Annelise; Lopes-Silva, Júlia B; Starling-Alves, Isabella; Antunes, Andressa M; Pinheiro-Chagas, Pedro; Wood, Guilherme

    2014-01-01

    Mathematics learning difficulties are a highly comorbid and heterogeneous set of disorders linked to several dissociable mechanisms and endophenotypes. Two of these endophenotypes consist of primary deficits in number sense and verbal numerical representations. However, currently acknowledged endophenotypes are underspecified regarding the role of automatic vs. controlled information processing, and their description should be complemented. Two children with specific deficits in number sense and verbal numerical representations and normal or above-normal intelligence and preserved visuospatial cognition illustrate this point. Child H.V. exhibited deficits in number sense and fact retrieval. Child G.A. presented severe deficits in orally presented problems and transcoding tasks. A partial confirmation of the two endophenotypes that relate to the number sense and verbal processing was obtained, but a much more clear differentiation between the deficits presented by H.V. and G.A. can be reached by looking at differential impairments in modes of processing. H.V. is notably competent in the use of controlled processing but has problems with more automatic processes, such as nonsymbolic magnitude processing, speeded counting and fact retrieval. In contrast, G.A. can retrieve facts and process nonsymbolic magnitudes but exhibits severe impairment in recruiting executive functions and the concentration that is necessary to accomplish transcoding tasks and word problem solving. These results indicate that typical endophenotypes might be insufficient to describe accurately the deficits that are observed in children with mathematics learning abilities. However, by incorporating domain-specificity and modes of processing into the assessment of the endophenotypes, individual deficit profiles can be much more accurately described. This process calls for further specification of the endophenotypes in mathematics learning difficulties.

  15. Philosophy of Mathematics, Mathematics Education and Philosophy of Mathematics Education.

    Science.gov (United States)

    Zheng, Yuxin

    1994-01-01

    Uses the modern development of mathematics education in the United States as background for the analysis of the influence of mathematics philosophy on mathematics education. Discusses the problem of how to develop the subject of philosophy of mathematics education, regarded as an impetus from mathematics education, to the further development of…

  16. REGION-WISE VARIATIONAL PRINCIPLES AND GENERALIZED VARIATIONAL PRINCIPLES ON LARGE STRAIN FOR CONSOLIDATION THEORY

    Institute of Scientific and Technical Information of China (English)

    LUO Xiao-hui; LI Yong-le; LUO Xin

    2005-01-01

    The difference of constitutive character and large deformation as to soil mass are basic questions to analyze deformational feature. According to the description method of limited deformation, the large deformation consolidation equations of soil mass were created and its variational principles were rigorously testified. The regionwise variational principles of consolidation theory were deduced using sub-structure continuous condition of region-wise. Quoting the method of Lagrangian multiplier operator, generalized variational principles of region-wise of large deformation consolidation in the nonconstrained condition were created and approved.

  17. [General principles of handling tissues and organs intended for examination in histopathology - pathologists requirements for surgeons].

    Science.gov (United States)

    Trnková, M

    2014-03-01

    Histopathology has continued to develop into a complex discipline of laboratory medicine in the last 30 years. Implementation of new techniques such as immunohistochemistry, in situ hybridization, molecular pathology and gene profiling yields a large amount of information which is used not only to establish diagnosis, but also for prediction and prognosis. The basic conditions for precision and correctness of this information which directly influence the choice of therapy and the outcome for the patient, and eventually the health and the life of the patient, are obtaining a suitable specimen and the best laboratory processing. The first step in this procedure is collection of samples, fixation and submission to the pathology laboratory - the pre-analytical phase. Knowledge of the principles of this phase and their implementation in daily practice in surgery is of main importance for the quality and quantity of information obtained. We introduce the basic rules for proper handling of different specimens depending on the use of conventional and "new" histopathology methods.

  18. Generalization of the variational principle and the Hohenberg and Kohn theorems for excited states of Fermion systems

    Science.gov (United States)

    Gonis, A.

    2017-01-01

    Through the entanglement of a collection of K non-interacting replicas of a system of N interacting Fermions, and making use of the properties of reduced density matrices the variational principle and the theorems of Hohenberg and Kohn are generalized to excited states. The generalization of the variational principle makes use of the natural orbitals of an N-particle density matrix describing the state of lowest energy of the entangled state. The extension of the theorems of Hohenberg and Kohn is based on the ground-state formulation of density functional theory but with a new interpretation of the concept of a ground state: It is the state of lowest energy of a system of KN Fermions that is described in terms of the excited states of the N-particle interacting system. This straightforward implementation of the line of reasoning of ground-state density functional theory to a new domain leads to a unique and logically valid extension of the theory to excited states that allows the systematic treatment of all states in the spectrum of the Hamiltonian of an interacting system.

  19. Extending the generality of leaf economic design principles in the cycads, an ancient lineage.

    Science.gov (United States)

    Zhang, Yong-Jiang; Cao, Kun-Fang; Sack, Lawren; Li, Nan; Wei, Xue-Mei; Goldstein, Guillermo

    2015-04-01

    Cycads are the most ancient lineage of living seed plants, but the design of their leaves has received little study. We tested whether cycad leaves are governed by the same fundamental design principles previously established for ferns, conifers and angiosperms, and characterized the uniqueness of this relict lineage in foliar trait relationships. Leaf structure, photosynthesis, hydraulics and nutrient composition were studied in 33 cycad species from nine genera and three families growing in two botanical gardens. Cycads varied greatly in leaf structure and physiology. Similarly to other lineages, light-saturated photosynthetic rate per mass (Am ) was related negatively to leaf mass per area and positively to foliar concentrations of chlorophyll, nitrogen (N), phosphorus and iron, but unlike angiosperms, leaf photosynthetic rate was not associated with leaf hydraulic conductance. Cycads had lower photosynthetic N use efficiency and higher photosynthetic performance relative to hydraulic capacity compared with other lineages. These findings extend the relationships shown for foliar traits in angiosperms to the cycads. This functional convergence supports the modern synthetic understanding of leaf design, with common constraints operating across lineages, even as they highlight exceptional aspects of the biology of this key relict lineage.

  20. Homeopathy in veterinary medicine: general principles

    Directory of Open Access Journals (Sweden)

    Romeo T. Cristina

    2007-07-01

    Full Text Available Homeopathy therapeutic means are more significantly considered as an animals treatment alternative. This because homeopathy has in its view not only the fact that is harmless for animals, but also the important aspect of lack presence of residues in animal origin products. The paper makes a short presentation of the advantages and disadvantages of this therapeutic alternative and also propose a short description of the three Hahnemian principles: of similitude, of dilutions and of individualization, with them specific aspects (decimal and centesimal dilutions, influence of constitution andtemperament, the organic and functional signs analysis.

  1. Generalized uncertainty principles, effective Newton constant and regular black holes

    CERN Document Server

    Li, Xiang; Shen, You-Gen; Liu, Cheng-Zhou; He, Hong-Sheng; Xu, Lan-Fang

    2016-01-01

    In this paper, we explore the quantum spacetimes that are potentially connected with the generalized uncertainty principles. By analyzing the gravity-induced quantum interference pattern and the Gedanken for weighting photon, we find that the generalized uncertainty principles inspire the effective Newton constant as same as our previous proposal. A characteristic momentum associated with the tidal effect is suggested, which incorporates the quantum effect with the geometric nature of gravity. When the simplest generalized uncertainty principle is considered, the minimal model of the regular black holes is reproduced by the effective Newton constant. The black hole's tunneling probability, accurate to the second order correction, is carefully analyzed. We find that the tunneling probability is regularized by the size of the black hole remnant. Moreover, the black hole remnant is the final state of a tunneling process that the probability is minimized. A theory of modified gravity is suggested, by substituting...

  2. Does The Principle Of Equivalence Prevent Trapped Surfaces From Being Formed In The General Relativistic Collapse Process?

    CERN Document Server

    Leiter, D; Robertson, S; Leiter, Darryl; Mitra, Abhas; Robertson, Stanley

    2001-01-01

    It has been recently shown (Mitra, 2000 - astro-ph/9910408) that the timelike spherical collapse of a radiating, physical fluid in General Relativity, as seen by an interior co-moving observer at rest in the physical fluid, does not permit formation of ``trapped surfaces''. This followed from the fact that the formation of a trapped surface in a physical fluid would cause the timelike world lines of the collapsing fluid to become null at the would be trapped surface, thus violating the Principle of Equivalence in General Theory of Relativity. In this paper we generalize and extend this result by studying the problem from the point of view of the exterior Vaidya metric of a collapsing radiating fluid as seen by an exterior stationary observer, and find that the "no trapped surface condition" becomes g00 > 0 consistent with that obtained for the interior co-moving metric. Since we have shown that the Principle of Equivalence prevents trapped surfaces from being formed in collapsing, radiating objects, then true...

  3. Applying Cognitive Psychology Based Instructional Design Principles in Mathematics Teaching and Learning: Introduction

    Science.gov (United States)

    Verschaffel, Lieven; Van Dooren, W.; Star, J.

    2017-01-01

    This special issue comprises contributions that address the breadth of current lines of recent research from cognitive psychology that appear promising for positively impacting students' learning of mathematics. More specifically, we included contributions (a) that refer to cognitive psychology based principles and techniques, such as explanatory…

  4. Theoretical generalization of normal and sick coronary arteries with fractal dimensions and the arterial intrinsic mathematical harmony

    Science.gov (United States)

    2010-01-01

    Background Fractal geometry is employ to characterize the irregular objects and had been used in experimental and clinic applications. Starting from a previous work, here we made a theoretical research based on a geometric generalization of the experimental results, to develop a theoretical generalization of the stenotic and restenotic process, based on fractal geometry and Intrinsic Mathematical Harmony. Methods Starting from all the possibilities of space occupation in box-counting space, all arterial prototypes differentiating normality and disease were obtained with a computational simulation. Measures from 2 normal and 3 re-stenosed arteries were used as spatial limits of the generalization. Results A new methodology in animal experimentation was developed, based on fractal geometric generalization. With this methodology, it was founded that the occupation space possibilities in the stenotic process are finite and that 69,249 arterial prototypes are obtained as a total. Conclusions The Intrinsic Mathematical Harmony reveals a supra-molecular geometric self-organization, where the finite and discrete fractal dimensions of arterial layers evaluate objectively the arterial stenosis and restenosis process. PMID:20846449

  5. The action principle for generalized fluid motion including gyroviscosity

    Energy Technology Data Exchange (ETDEWEB)

    Lingam, M., E-mail: manasvi@physics.utexas.edu; Morrison, P.J., E-mail: morrison@physics.utexas.edu

    2014-11-07

    Highlights: • Method for constructing action principles for a diverse class of fluids with gyroscopic momentum transport is described. • General criteria for the conservation of momentum and angular momentum via Noether's theorem are obtained. • Fluids with intrinsic angular momentum are built as an illustration of the method. - Abstract: A general set of fluid equations that allow for energy-conserving momentum transport by gyroscopic motion of fluid elements is obtained. The equations are produced by a class of action principles that yield a large subset of the known fluid and magnetofluid models, including gyroviscosity. Analysis of the action principle yields broad, model-independent results regarding the conservation laws of energy and linear and angular momenta. The formalism is illustrated by studying fluid models with intrinsic angular momentum that may appear in the contexts of condensed matter, biological, and other areas of physics.

  6. Some Meaningful Mathematics in Two Chapters: Chapter T1, The Binomial Expansion and Related Topics; Chapter T2, The Principle of Math Induction and Related Conjectures.

    Science.gov (United States)

    Titterton, J. Patrick

    The author presents material suitable for use by teachers of gifted students in the junior or senior year of high school. The mathematics presented includes mathematical induction, the binomial expansion, number theory and Pascal's triangle. The author weaves much of the history of mathematics into the materials. Included are student tests and…

  7. Do general relativistic effects limit experiments to test the universality of free fall and the weak equivalence principle?

    Science.gov (United States)

    Nobili, Anna M.

    2016-12-01

    The universality of free fall and the weak equivalence principle, which are at the basis of general relativity, have been confirmed to 1 part in 1 013. Space experiments with macroscopic test masses of different composition orbiting Earth inside a low altitude satellite aim to improve this precision by 2 orders of magnitude (with the Microscope satellite launched on April 25, 2016) and up to 4 orders of magnitude (with the Galileo Galilei satellite). At such a high precision, many tiny effects must be taken into account in order to be ruled out as the source of a spurious violation signal. In this work, we investigate the general relativistic effects, including those which involve the rotation of both Earth and the test masses, and show that they are by far too small to be considered even in the most challenging experiment.

  8. Do general relativistic effects limit experiments to test the universality of free fall and the weak equivalence principle?

    CERN Document Server

    Nobili, Anna M

    2016-01-01

    The Universality of Free Fall and the Weak Equivalence Principle, which are at the basis of General Relativity, have been confirmed to 1 part in 10^13. Space experiments with macroscopic test masses of different composition orbiting the Earth inside a low altitude satellite aim at improving this precision by two orders of magnitude (with the Microscope satellite, launched on 25 April 2016) and up to four orders of magnitude (with the 'Galileo Galilei' - GG satellite). At such a high precision many tiny effects must be taken into account in order to be ruled out as the source of a spurious violation signal. In this work we investigate the general relativistic effects, including those which involve the rotation of both the source body and the test masses, and show that they are by far too small to be considered even in the most challenging experiment.

  9. Mathematical Background of Formalism of Operator Manifold

    CERN Document Server

    Ter-Kazarian, G T

    1997-01-01

    The analysis of mathematical structure of the method of operator manifold guides our discussion. The latter is a still wider generalization of the method of secondary quantization with appropriate expansion over the geometric objects. The nature of operator manifold provides its elements with both quantum field and geometry aspects, a detailed study of which is a subject of present paper. It yields a quantization of geometry differing in principle from all earlier suggested schemes.

  10. Concepts of mathematical modeling

    CERN Document Server

    Meyer, Walter J

    2004-01-01

    Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each sec

  11. The general law principles, the family law principles and the personality rights

    OpenAIRE

    2007-01-01

    With the present study, we intend, from an analysis of general law principles and the specifics family law principles, to establish its imbrications with the personality rights. Con el presente estudio, se pretende, a partir de los principios generales de derecho y de los principios específicos de derecho de familia, establecer su relación con los derechos de personalidad. Com o presente estudo, pretende-se, a partir da análise dos princípios gerais de direito e dos princípios específi...

  12. Electrical machines mathematical fundamentals of machine topologies

    CERN Document Server

    Gerling, Dieter

    2015-01-01

    Electrical Machines and Drives play a powerful role in industry with an ever increasing importance. This fact requires the understanding of machine and drive principles by engineers of many different disciplines. Therefore, this book is intended to give a comprehensive deduction of these principles. Special attention is given to the precise mathematical derivation of the necessary formulae to calculate machines and drives and to the discussion of simplifications (if applied) with the associated limits. The book shows how the different machine topologies can be deduced from general fundamentals, and how they are linked together. This book addresses graduate students, researchers, and developers of Electrical Machines and Drives, who are interested in getting knowledge about the principles of machine and drive operation and in detecting the mathematical and engineering specialties of the different machine and drive topologies together with their mutual links. The detailed - but nevertheless compact - mat...

  13. Mathematics of aperiodic order

    CERN Document Server

    Lenz, Daniel; Savinien, Jean

    2015-01-01

    What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically? Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics. This book offers an overview of the state of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomolog...

  14. Comparison of Types of Generalizations and Problem-Solving Schemas Used to Solve a Mathematical Problem

    Science.gov (United States)

    Hodnik Cadež, Tatjana; Manfreda Kolar, Vida

    2015-01-01

    A cognitive schema is a mechanism which allows an individual to organize her/his experiences in such a way that a new similar experience can easily be recognised and dealt with successfully. Well-structured schemas provide for the knowledge base for subsequent mathematical activities. A new experience can be assimilated into a previously existing…

  15. INTRA-ABDOMINAL INFECTION AND ACUTE ABDOMEN-EPIDEMIOLOGY, DIAGNOSIS AND GENERAL PRINCIPLES OF SURGICAL MANAGEMENT

    Directory of Open Access Journals (Sweden)

    Jovanović Dušan

    2015-03-01

    Full Text Available Intra-abdominal infections are multifactorial and present an complex inflammatory response of the peritoneum to microorganisms followed by exudation in the abdominal cavity and systemic response Despite advances in management and critical care of patients with acute generalized peritonitis due to hollow viscus perforation, prognosis is still very poor, with high mortality rate. Early detection and adequate treatment is essential to minimize complications in the patient with acute abdomen. Prognostic evaluation of complicated IAI by modern scoring systems is important to assess the severity and the prognosis of the disease. Control of the septic source can be achieved either by nonoperative or operative means. Nonoperative interventional procedures include percutaneous drainages of abscesses. The management of primary peritonitis is non-surgical and antibiotic- treatment. The management of secondary peritonitis include surgery to control the source of infection, removal of toxins, bacteria, and necrotic tissue, antibiotic therapy, supportive therapy and nutrition. "Source control" is sine qua non of success and adequate surgical procedure involves closure or resection of any openings into the gastrointestinal tract, resection of inflamed tissue and drainage of all abdominal and pelivic collections.

  16. Game Show Mathematics: Specializing, Conjecturing, Generalizing, and Convincing

    Science.gov (United States)

    Lane, Catherine Pullin; Harkness, Shelly Sheats

    2012-01-01

    This article describes the authors' use of three game shows--"Survivor," "The Biggest Loser," and "Deal or No Deal?"--to determine to what degree students engaged in mathematical thinking: specializing, conjecturing, generalizing, and convincing (Burton, 1984). Student responses to the task of creating winning strategies to these shows were…

  17. The ABCs of Math: A Genetic Analysis of Mathematics and Its Links With Reading Ability and General Cognitive Ability.

    Science.gov (United States)

    Hart, Sara A; Petrill, Stephen A; Thompson, Lee A; Plomin, Robert

    2009-05-01

    The goal of this first major report from the Western Reserve Reading Project Math component is to explore the etiology of the relationship among tester-administered measures of mathematics ability, reading ability, and general cognitive ability. Data are available on 314 pairs of monozygotic and same-sex dizygotic twins analyzed across 5 waves of assessment. Univariate analyses provide a range of estimates of genetic (h(2) = .00 -.63) and shared (c(2) = .15-.52) environmental influences across math calculation, fluency, and problem solving measures. Multivariate analyses indicate genetic overlap between math problem solving with general cognitive ability and reading decoding, whereas math fluency shares significant genetic overlap with reading fluency and general cognitive ability. Further, math fluency has unique genetic influences. In general, math ability has shared environmental overlap with general cognitive ability and decoding. These results indicate that aspects of math that include problem solving have different genetic and environmental influences than math calculation. Moreover, math fluency, a timed measure of calculation, is the only measured math ability with unique genetic influences.

  18. Basic Principles of Chromatography

    Science.gov (United States)

    Ismail, Baraem; Nielsen, S. Suzanne

    Chromatography has a great impact on all areas of analysis and, therefore, on the progress of science in general. Chromatography differs from other methods of separation in that a wide variety of materials, equipment, and techniques can be used. [Readers are referred to references (1-19) for general and specific information on chromatography.]. This chapter will focus on the principles of chromatography, mainly liquid chromatography (LC). Detailed principles and applications of gas chromatography (GC) will be discussed in Chap. 29. In view of its widespread use and applications, high-performance liquid chromatography (HPLC) will be discussed in a separate chapter (Chap. 28). The general principles of extraction are first described as a basis for understanding chromatography.

  19. Mathematical definition of general systems based on semiotics and set theory (part of statics)

    CERN Document Server

    Zou, D D

    2009-01-01

    According to the relation between objects and time, our category of general systems theory was divided into three parts: statics, kinematics, and dynamics. In this part, beginning with clarifying fundamental in epistemology and semiotics, we gave the connections of measurements, partitions and functions. And conforming to customs, we defined the terms of quantity and value by our understanding of functions. Then the concept of relation quantity was coined to describe the relationship like distance and force. Farther more, we discussed correspondences established between two quantities, and the definitions and theorems of complete set based on it. Finally, we present the structure which can afford the obligation of general system, and also the definitions of subsystem and isomorphism.

  20. Mathematical foundations of neurocomputing

    Energy Technology Data Exchange (ETDEWEB)

    Amari, S. (Tokyo Univ. (Japan). Faculty of Engineering)

    1990-09-01

    Neurocomputing makes use of parallel dynamical interactions of modifiable neuron-like elements. It is important to show, by mathematical treatments, the capabilities and limitations of information processing by various architectures of neural networks. This paper, gives mathematical foundations to neurocomputing. It considers the capabilities of transformations by layered networks, statistical neurodynamics, the dynamical characteristics of associative memory, a general theory of neural learning, and self-organization of neural networks.

  1. The action principle for generalized fluid motion including gyroviscosity

    CERN Document Server

    Lingam, M

    2014-01-01

    A general set of fluid equations that allow for energy-conserving momentum transport by gyroscopic motion of fluid elements is obtained. The equations are produced by a class of action principles that yield a large subset of the known fluid and magnetofluid models, including gyroviscosity. Analysis of the action principle yields broad, model-independent results regarding the conservation laws of energy and linear and angular momenta. The formalism is illustrated by studying fluid models with intrinsic angular momentum that may appear in the contexts of condensed matter, biological, and other areas of physics.

  2. 12 CFR 330.3 - General principles.

    Science.gov (United States)

    2010-01-01

    ...) Waiver of minimum requirements. In the case of a deposit with a fixed payment date, fixed or minimum term... and Banking FEDERAL DEPOSIT INSURANCE CORPORATION REGULATIONS AND STATEMENTS OF GENERAL POLICY DEPOSIT... provided by the Act and this part is based upon the ownership rights and capacities in which deposit...

  3. Scanning the structure of ill-known spaces Part 1. Founding principles about mathematical constitution of space

    CERN Document Server

    Bounias, M; Bounias, Michel; Krasnoholovets, Volodymyr

    2003-01-01

    Necessary and sufficient conditions allowing a previously unknown space to be explored through scanning operators are reexamined with respect to measure theory. Generalized conceptions of distances and dimensionality evaluation are proposed, together with their conditions of validity and range of application to topological spaces. The existence of a Boolean lattice with fractal properties originating from nonwellfounded properties of the empty set is demonstrated. This lattice provides a substrate with both discrete and continuous properties, from which existence of physical universes can be proved, up to the function of conscious perception. Spacetime emerges as an ordered sequence of mappings of closed 3-D Ponicare sections of a topological 4-space provided by the lattice. The possibility of existence of spaces with fuzzy dimension or with adjoined parts with decreasing dimensions is raised, together with possible tools for their study. The work provides the introductory foundations supporting a new theory ...

  4. Principles of Mobile Communication

    CERN Document Server

    Stüber, Gordon L

    2012-01-01

    This mathematically rigorous overview of physical layer wireless communications is now in a third, fully revised and updated edition. Along with coverage of basic principles sufficient for novice students, the volume includes plenty of finer details that will satisfy the requirements of graduate students aiming to research the topic in depth. It also has a role as a handy reference for wireless engineers. The content stresses core principles that are applicable to a broad range of wireless standards. Beginning with a survey of the field that introduces an array of issues relevant to wireless communications and which traces the historical development of today’s accepted wireless standards, the book moves on to cover all the relevant discrete subjects, from radio propagation to error probability performance and cellular radio resource management. A valuable appendix provides a succinct and focused tutorial on probability and random processes, concepts widely used throughout the book. This new edition, revised...

  5. General characteristics of the OTC market. Principles of organization of the OTC securities trading

    Directory of Open Access Journals (Sweden)

    Prjanishnikova Marija Vladimirovna

    2016-10-01

    The field of application of the research results. The results of the study are recommended for use in the development of concepts development of the securities market, the formation courses in the discipline of the securities market.

  6. 21 CFR 101.13 - general principles.

    Science.gov (United States)

    1996-04-01

    ... content claims FOOD AND DRUGS FOOD AND DRUG ADMINISTRATION, DEPARTMENT OF HEALTH AND HUMAN SERVICES--CONTINUED FOOD FOR HUMAN CONSUMPTION FOOD LABELING General Provisions Sec. 101.13 Nutrient content claims... supplements). (b) A claim that expressly or implicitly characterizes the level of a nutrient (nutrient content...

  7. General characteristics of the OTC market. Principles of organization of the OTC securities trading

    OpenAIRE

    Prjanishnikova Marija Vladimirovna

    2016-01-01

    Topicality of research is determined by the role of the OTC securities market in the structure of the modern stock market. As harmonization and standardization of trading rules and procedures in the OTC market increases its value in the process of conversion of stock values. The aim of the study is to identify the principal features of the OTC securities market to justify its basic functions and to analyze the process of development. The subject of research is over-the-counter securities m...

  8. Principles of mobile communication

    CERN Document Server

    Stüber, Gordon L

    2017-01-01

    This mathematically rigorous overview of physical layer wireless communications is now in a 4th, fully revised and updated edition. The new edition features new content on 4G cellular systems, 5G cellular outlook, bandpass signals and systems, and polarization, among many other topics, in addition to a new chapters on channel assignment techniques. Along with coverage of fundamentals and basic principles sufficient for novice students, the volume includes finer details that satisfy the requirements of graduate students aiming to conduct in-depth research. The book begins with a survey of the field, introducing issues relevant to wireless communications. The book moves on to cover relevant discrete subjects, from radio propagation, to error probability performance, and cellular radio resource management. An appendix provides a tutorial on probability and random processes. The content stresses core principles that are applicable to a broad range of wireless standards. New examples are provided throughout the bo...

  9. 研究型教学融入数学分析习题课的教学原则%The Didactical Principles of the Research Teaching in the Exercises Lecture of Mathematical Analysis

    Institute of Scientific and Technical Information of China (English)

    向昭银; 黄廷祝

    2012-01-01

    The didactical principles of the research teaching in the exercises lecture of mathematical analysisare discussed from seven aspects with the authors; didactical experience.%结合教学实践,从7个方面论述了研究型教学融入数学分析习题课的教学原则.

  10. How Can Students Generalize the Chain Rule? The Roles of Abduction in Mathematical Modeling

    Science.gov (United States)

    Park, Jin Hyeong; Lee, Kyeong-Hwa

    2016-01-01

    The purpose of this study is to design a modeling task to facilitate students' inquiries into the chain rule in calculus and to analyze the results after implementation of the task. In this study, we take a modeling approach to the teaching and learning of the chain rule by facilitating the generalization of students' models and modeling…

  11. Interactions of Field Independence and General Reasoning with Inductive Instruction in Mathematics.

    Science.gov (United States)

    McLeod, Douglas B.; Briggs, John T.

    1980-01-01

    The interaction of two aptitude variables, field independence and general reasoning, with treatments that differed in sequence of instruction, was investigated using either an inductive or deductive appraoch to the learning of properties of equivalence relations. Significant interactions were found. (Author/MK)

  12. Constraining the generalized uncertainty principle with gravitational wave

    CERN Document Server

    Feng, Zhong-Wen; Li, Hui-Ling; Zu, Xiao-Tao

    2016-01-01

    Various theories of quantum gravity suggest a modification in the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP), which produces significant modifications to different physical systems. For this reason, in this paper, we investigate the speed of graviton by utilizing two proposals for the GUP. Then, to comply event GW 150914 data, we set upper bounds on the GUP parameters. It is found that the upper limit of the GUP parameters $\\beta_0$ and $\\alpha_0$ are $1.44675 \\times10^{10}$ and $1.35934 \\times10^{-4}$.

  13. A generalization of the MDS method by mixed integer linear and nonlinear mathematical models

    Directory of Open Access Journals (Sweden)

    Sadegh Niroomand

    2014-09-01

    Full Text Available The Multi-Dimensional Scaling (MDS method is used in statistics to detect hidden interrelations among multi-dimensional data and it has a wide range of applications. The method’s input is a matrix that describes the similarity/dissimilarity among objects of unknown dimension. The objects are generally reconstructed as points of a lower dimensional space to reveal the geometric configuration of the objects. The original MDS method uses Euclidean distance, for measuring both the distance of the reconstructed points and the bias of the reconstructed distances from the original similarity values. In this paper, these distances are distinguished, and distances other than Euclidean are also used, generalizing the MDS method. Two different distances may be used for the two different purposes. Therefore the instances of the generalized MDS model are denoted as  model, where the first distance is the type of distance of the reconstructed points and the second one measures the bias of the reconstructed distances and the similarity values. In the case of   and   distances mixed-integer programming models are provided. The computational experiences show that the generalized model can catch the key properties of the original configuration, if any exist. Keywords: Multivariate Analysis; Multi-Dimensional Scaling; Optimization; Mixed Integer Linear Programming; Statistics.

  14. Viewing brain processes as Critical State Transitions across levels of organization: Neural events in Cognition and Consciousness, and general principles.

    Science.gov (United States)

    Werner, Gerhard

    2009-04-01

    In this theoretical and speculative essay, I propose that insights into certain aspects of neural system functions can be gained from viewing brain function in terms of the branch of Statistical Mechanics currently referred to as "Modern Critical Theory" [Stanley, H.E., 1987. Introduction to Phase Transitions and Critical Phenomena. Oxford University Press; Marro, J., Dickman, R., 1999. Nonequilibrium Phase Transitions in Lattice Models. Cambridge University Press, Cambridge, UK]. The application of this framework is here explored in two stages: in the first place, its principles are applied to state transitions in global brain dynamics, with benchmarks of Cognitive Neuroscience providing the relevant empirical reference points. The second stage generalizes to suggest in more detail how the same principles could also apply to the relation between other levels of the structural-functional hierarchy of the nervous system and between neural assemblies. In this view, state transitions resulting from the processing at one level are the input to the next, in the image of a 'bucket brigade', with the content of each bucket being passed on along the chain, after having undergone a state transition. The unique features of a process of this kind will be discussed and illustrated.

  15. Generalized Variational Principle for Long Water-Wave Equation by He's Semi-Inverse Method

    Directory of Open Access Journals (Sweden)

    Weimin Zhang

    2009-01-01

    Full Text Available Variational principles for nonlinear partial differential equations have come to play an important role in mathematics and physics. However, it is well known that not every nonlinear partial differential equation admits a variational formula. In this paper, He's semi-inverse method is used to construct a family of variational principles for the long water-wave problem.

  16. Fraction magnitude understanding and its unique role in predicting general mathematics achievement at two early stages of fraction instruction.

    Science.gov (United States)

    Liu, Yingyi

    2017-09-08

    Prior studies on fraction magnitude understanding focused mainly on students with relatively sufficient formal instruction on fractions whose fraction magnitude understanding is relatively mature. This study fills a research gap by investigating fraction magnitude understanding in the early stages of fraction instruction. It extends previous findings to children with limited and primary formal fraction instruction. Thirty-five fourth graders with limited fraction instruction and forty fourth graders with primary fraction instruction were recruited from a Chinese primary school. Children's fraction magnitude understanding was assessed with a fraction number line estimation task. Approximate number system (ANS) acuity was assessed with a dot discrimination task. Whole number knowledge was assessed with a whole number line estimation task. General reading and mathematics achievements were collected concurrently and 1 year later. In children with limited fraction instruction, fraction representation was linear and fraction magnitude understanding was concurrently related to both ANS and whole number knowledge. In children with primary fraction instruction, fraction magnitude understanding appeared to (marginally) significantly predict general mathematics achievement 1 year later. Fraction magnitude understanding emerged early during formal instruction of fractions. ANS and whole number knowledge were related to fraction magnitude understanding when children first began to learn about fractions in school. The predictive value of fraction magnitude understanding is likely constrained by its sophistication level. © 2017 The British Psychological Society.

  17. Committee on the Undergraduate Program in Mathematics Newsletter Number 6.

    Science.gov (United States)

    Mielke, Paul T., Ed.; And Others

    This article presents suggestions to the beginning teacher of college mathematics. It is felt that he should have a knowledge of: (1) the general character of mathematics and its place in our culture, (2) mathematics as a language, (3) mathematics as an art, and (4) mathematics as a science. Suggested principles include: (1) never introduce a new…

  18. The relationship between learning mathematics and general cognitive ability in primary school.

    Science.gov (United States)

    Cowan, Richard; Hurry, Jane; Midouhas, Emily

    2017-08-12

    Three relationships between learning mathematics and general cognitive ability have been hypothesized: The educational hypothesis that learning mathematics develops general cognitive skills, the psychometric hypothesis that differences in general cognitive ability cause differences in mathematical attainment, and the reciprocal influence hypothesis that developments in mathematical ability and general cognitive ability influence each other. These hypotheses are assessed with a sample of 948 children from the Twins Early Development Study who were assessed at 7, 9, and 10 years on mathematics, English, and general cognitive ability. A cross-lagged path analysis with mathematics and general cognitive ability measures supports the reciprocal influence hypothesis between 7 and 9 and between 9 and 10. A second analysis including English assessments only provides evidence of a reciprocal relationship between 7 and 9. Statement of Contribution What is already known on this subject? The correlations between mathematical attainment, literacy, and measures of general cognitive skills are well established. The role of literacy in developing general cognitive skills is emerging. What the present study adds? Mathematics contributes to the development of general cognitive skills. General cognitive ability contributes to mathematical development between 7 and 10. These findings support the hypothesis of reciprocal influence between mathematics and general cognitive ability, at least between 7 and 9. © 2017 The British Psychological Society.

  19. Some Pluses and Minuses of Radical Constructivism in Mathematics Education.

    Science.gov (United States)

    Ellerton, Nerida; Clements, M. A.

    1992-01-01

    Reviews the radical constructivism movement in mathematics education. Benefits identified include learner ownership of mathematical learning; importance of social interaction; and identification of principles for improving mathematics teaching and learning. Weaknesses identified include overzealousness of some radical constructivists; downplaying…

  20. 随机算法的一般性原理%The General Principles of Randomized Algorithms

    Institute of Scientific and Technical Information of China (English)

    贺红; 马绍汉

    2002-01-01

    The last decade has witnessed a tremendous growth in the area of randomized algorithms.During this period,randomized algorithms went form being a tool in computational number theory to finding widespread application in many types of algorithms.Two benefits of randomization have spearheaded this growth:simplicity and speed.For many applications,a randomized algorithm is the simplest algorithm availble,or the fastest,or both.A handful of general principles lie at the heart of almost all randomized algorithms,despite the multitude of areas in which they find application.We bridfly survey these here in order to draw about the method of studying randomized algorithms.

  1. First principles analysis of the Abraham-Minkowski controversy for the momentum of light in general linear media

    CERN Document Server

    Ramos, Tomás; Obukhov, Yuri N

    2013-01-01

    We study the problem of the definition of the energy-momentum tensor of light in general moving media with linear constitutive law. Using the basic principles of classical field theory, we show that for the correct understanding of the problem, one needs to carefully distinguish situations when the material medium is modeled either as a background on which light propagates or as a dynamical part of the total system. In the former case, we prove that the (generalized) Belinfante-Rosenfeld (BR) tensor for the electromagnetic field coincides with the Minkowski tensor. We derive a complete set of balance equations for this open system and show that the symmetries of the background medium are directly related to the conservation of the Minkowski quantities. In particular, for isotropic media, the angular momentum of light is conserved despite of the fact that the Minkowski tensor is non-symmetric. For the closed system of light interacting with matter, we model the material medium as a relativistic non-dissipative...

  2. Establishing Mathematical Model and Calculating Principle of Number Control Grinding with"Three Variations"for spiral Guiding Wheel%"三变"螺旋导轮数控磨削原理

    Institute of Scientific and Technical Information of China (English)

    吴行飞

    2000-01-01

    The establishment of mathematical model and its calculation principle for number control grinding of spiral guiding wheel with"three variations"(diameter variation,screw pitch variation and tooth type angle variation)are expatiated,the calculating method which is necessary to number control programe is provided for the number control grinding of this new type spiral guiding wheel.

  3. General Principles of Integrity Checking of Digital Images and Application for Steganalysis

    Directory of Open Access Journals (Sweden)

    Kobozeva Alla A.

    2016-06-01

    Full Text Available The new common approach for integrity checking of digital images is developed. The new features of formal parameters defining image are revealed, theoretically grounded and practically tested. The characteristics of the mutual arrangement of left and right singular vectors corresponding to the largest singular value of the image’s matrix (block of matrix and the vector composed of singular numbers is obtained. Formal parameters are obtained using normal singular decomposition of matrix (block of matrix which is uniquely determined. It is shown that for most blocks of original image (no matter lossy or lossless the angle between the left (right mentioned singular vector and vector composed of singular numbers is defined by the angle between the n-optimal vector and the vector of standard basis of the range corresponding dimension. It is shown that the determined feature brakes for the mentioned formal parameters in a non-original image. This shows the integrity violation of the image, i.e. the existence of the additional information embedded using steganography algorithms. So this can be used as a basis for development of new universal steganography methods and algorithms, and one example of the realization is proposed. The efficiency of the proposed algorithm won’t depend on the details of steganography method used for embedding. All the obtained results can be easily adapted for the digital video and audio analysis.

  4. Economics of food safety in chains: a review of general principles

    NARCIS (Netherlands)

    Valeeva, N.I.; Meuwissen, M.P.M.; Huirne, R.B.M.

    2004-01-01

    The increased demand for safer food has resulted in the development and introduction of new food safety standards and regulations to reach a higher level of food safety. An integrated approach of controlling food safety throughout the entire food chain (`farm to table`) has become an important issue

  5. Economics of food safety in chains: a review of general principles

    NARCIS (Netherlands)

    Valeeva, N.I.; Meuwissen, M.P.M.; Huirne, R.B.M.

    2004-01-01

    The increased demand for safer food has resulted in the development and introduction of new food safety standards and regulations to reach a higher level of food safety. An integrated approach of controlling food safety throughout the entire food chain (`farm to table`) has become an important issue

  6. Principles of Neuroempiricism and generalization of network topology for health service delivery

    CSIR Research Space (South Africa)

    Niehaus, E

    2009-01-01

    Full Text Available . The characteristics of the infection are changing in time and often further complicated by unpredictable events such as mutation of the virus. These factors have to be accounted for in the computer based framework of the model. Artificial Neural Networks (ANN) can...

  7. [Competency: general principles and applicability in dementia].

    Science.gov (United States)

    Alvaro, L C

    2012-06-01

    Competency means the capacity to make responsible and balanced decisions. This may be performed in clinical settings (decision-making abilities on treatment or risky diagnostic procedures) and also in daily-life activities (financial matters, nursing home admittance, contracts, etc.). Competency is linked to the ethical principle of autonomy and to a horizontal doctor-patient interaction, far from ancient paternalistic relationships. It is contemplated in the Spanish law as the patient's right to be informed and to make free choices, particularly in cases of dementia. The competency that we assess is the so-called natural or working capacity. It is specific for an action or task. The level of required capacity depends on the decision: higher for critical ones, lower for low-risk decisions. The assessment process requires noting the patient's capacity to understand, analyse, self-refer and apply the information. There are some guides available that may be useful in competency assessments, but nevertheless the final statement must be defined by the physician in charge of the patient and clinical judgement. Capacity is directly related to the level of cognitive deterioration. Nevertheless, specific cognitive tests like MMSE (mini-mental) have a low predictive value. The loss of competency is more associated with the so-called legal standards of incapacity (LS). These encompass a five steps range (LS1-LS5), which may detect the incapacity from the mild levels of dementia. The cortical functions that are the best predictors of incapacity are language and executive dysfunctions. These explain the incapacity in cases of Alzheimer's and Parkinson's disease, and have been studied more. Incapacity is common and it influences the clinical decision-making process. We must be particularly cautious with clinical trials of dementia. It also involves other areas of daily life, particularly financially related ones, where limitations are present from the mild cognitive impairment

  8. The Well-Ordering Principle as an Alternative to Mathematical Induction in Our Lower Division Recursive Formula Proofs

    Science.gov (United States)

    Cocks, Orrin G.

    1976-01-01

    The principle of mathematical induction is often too sophisticated to use in freshman and sophomore courses. The well-ordering principle can be used to prove theorems such as the formula for the sum of the first n positive integers. (SD)

  9. General Mission Analysis Tool (GMAT) Mathematical Specifications

    Science.gov (United States)

    Hughes, Steve

    2007-01-01

    The General Mission Analysis Tool (GMAT) is a space trajectory optimization and mission analysis system developed by NASA and private industry in the spirit of the NASA Mission. GMAT contains new technology and is a testbed for future technology development.

  10. Regulation of Spatiotemporal Patterns by Biological Variability: General Principles and Applications to Dictyostelium discoideum.

    Directory of Open Access Journals (Sweden)

    Miriam Grace

    2015-11-01

    Full Text Available Spatiotemporal patterns often emerge from local interactions in a self-organizing fashion. In biology, the resulting patterns are also subject to the influence of the systematic differences between the system's constituents (biological variability. This regulation of spatiotemporal patterns by biological variability is the topic of our review. We discuss several examples of correlations between cell properties and the self-organized spatiotemporal patterns, together with their relevance for biology. Our guiding, illustrative example will be spiral waves of cAMP in a colony of Dictyostelium discoideum cells. Analogous processes take place in diverse situations (such as cardiac tissue, where spiral waves occur in potentially fatal ventricular fibrillation so a deeper understanding of this additional layer of self-organized pattern formation would be beneficial to a wide range of applications. One of the most striking differences between pattern-forming systems in physics or chemistry and those in biology is the potential importance of variability. In the former, system components are essentially identical with random fluctuations determining the details of the self-organization process and the resulting patterns. In biology, due to variability, the properties of potentially very few cells can have a driving influence on the resulting asymptotic collective state of the colony. Variability is one means of implementing a few-element control on the collective mode. Regulatory architectures, parameters of signaling cascades, and properties of structure formation processes can be "reverse-engineered" from observed spatiotemporal patterns, as different types of regulation and forms of interactions between the constituents can lead to markedly different correlations. The power of this biology-inspired view of pattern formation lies in building a bridge between two scales: the patterns as a collective state of a very large number of cells on the one hand

  11. General organisational principles of the transcriptional regulation system: a tree or a circle?

    Science.gov (United States)

    Muskhelishvili, Georgi; Sobetzko, Patrick; Geertz, Marcel; Berger, Michael

    2010-04-01

    Recent advances of systemic approaches to gene expression and cellular metabolism provide unforeseen opportunities for relating and integrating extensive datasets describing the transcriptional regulation system as a whole. However, due to the multifaceted nature of the phenomenon, these datasets often contain logically distinct types of information determined by underlying approach and adopted methodology of data analysis. Consequently, to integrate the datasets comprising information on the states of chromatin structure, transcriptional regulatory network and cellular metabolism, a novel methodology enabling interconversion of logically distinct types of information is required. Here we provide a holistic conceptual framework for analysis of global transcriptional regulation as a system coordinated by structural coupling between the transcription machinery and DNA topology, acting as interdependent sensors and determinants of metabolic functions. In this operationally closed system any transition in physiological state represents an emergent property determined by shifts in structural coupling, whereas genetic regulation acts as a genuine device converting one logical type of information into the other.

  12. THE GOSPEL TEXT IN DOSTOYEVSKY'S WORKS IN THE LIGHT OF GENERAL FORM-PRODUCING PRINCIPLES

    Directory of Open Access Journals (Sweden)

    Sergey Viktorovich Syzranov

    2014-11-01

    Full Text Available The artistic functions of the Gospel text in Dostoyevsky’s Th e Double, Notes from the Underground and The Idiot" are examined in the light of Losev’s aesthetic theory. The focus is on the fact that the categories of Prime-image, Myth, Name take important place both in Losev’s aesthetics and Dostoyevsky’s poetics. Dynamics of the form-producing process is described by Losev as a dialectical way of the movement of Image towards Prime-image, its purpose is their complete equation. In Dostoyevsky’s works this dynamics is already apparent at onomapoetics: hero’s name actualizes dialectical relations between the character and its ideal prototype. These relations are materialized in diverse interactions of the artistic and the Gospel texts. Gospel text is actively involved in the process of formation; it carries interpenetration of architectonics and of composition aspects of artistic form, organizes artistic teleology of the writer’s works. Teleological direction of artistic myth created by Dostoyevsky embodies teleology of Absolute Myth of Sacred history.

  13. 49 CFR Appendix E to Part 238 - General Principles of Reliability-Based Maintenance Programs

    Science.gov (United States)

    2010-10-01

    ... altered only by basic changes in the design. Safety consequences can, in nearly all cases, be reduced to... that a failure has occurred); (3) The visibility of reduced resistance to failure (evidence that a... operating life of the equipment. Management of the ongoing maintenance program requires an organized...

  14. Self-organization in electrochemical systems I general principles of self-organization temporal instabilities

    CERN Document Server

    Orlik, Marek

    2014-01-01

    This is the first of two volumes covering self-organisation and non-linear dynamics in electrochemical systems. Each description includes an introduction to basic concepts of nonlinear dynamics, helping the reader to a deeper understanding of the topic.

  15. General principles involved in the effect of noise on hearing and vocal communication in birds

    Science.gov (United States)

    Dooling, Robert J.; Dent, Michael L.

    2002-05-01

    Birds provide very useful models for understanding the effects of noise on hearing and acoustic communication. They are excellent subjects for laboratory studies of hearing in which signals and noise can be precisely defined and delivered and behavioral responses can be unambiguously interpreted. For this reason, a huge amount is already known about their hearing. Acoustic communication is critically important for most species of birds and some even acquire their communication signals through vocal learning. For this reason, a lot is already known about how birds perceive complex acoustic signals such as vocalizations. Drawing from both field and laboratory studies, we review what is known about the effects of noise on hearing and vocal communication in birds. This includes the effects of intense noise on the ear, the effects of background noise on the detection and discrimination of both simple sounds and complex vocalizations, and the spatial effects of signal detection in noise in the free-field. As a whole, these studies show that birds are resistant to damage and interference from noise and have developed a variety of strategies to effectively communicate.

  16. OPERA, MINOS Experimental Result Prove Special and General Relativity Theories; the Principle of Lorentz Invariance Invalid

    Science.gov (United States)

    Pressler, David E.

    2012-03-01

    A great discrepancy exists - the speed of light and the neutrino speed must be identical; as indicated by supernova1987A; yet, OPERA predicts faster-than-light neutrinos. Einstein's theories are based on the invariance of the speed of light, and no privileged Galilean frame of reference exists. Both of these hypotheses are in error and must be reconciled in order to solve the dilemma. The Michelson-Morley Experiment was misinterpreted - my Neoclassical Theory postulates that BOTH mirrors of the interferometer physically and absolutely move towards its center. The result is a three-directional-Contraction, (x, y, z axis), an actual distortion of space itself; a C-Space condition. ``PRESSLER'S LAW OF C-SPACE: The speed of light, c, will always be measured the same speed in all three directions (˜300,000 km/sec), in ones own inertial reference system, and will always be measured as having a different speed in all other inertial frames which are at a different kinetic energy level or at a location with a different strength gravity field'' Thus, the faster you go, motion, or the stronger the gravity field the smaller you get in all three directions. OPERA results are explained; at the surface of Earth, the strength of gravity field is at maximum -- below the earth's surface, time and space is less distorted; therefore, time is absolutely faster accordingly. Reference OPERA's preprint: Neutrino's faster time-effect due to altitude difference; (10-13ns) x c (299792458m) = 2.9 x 10-5 m/ns x distance (730085m) + 21.8m.) This is consistent with the OPERA result.

  17. Knowledge, Attitude and Performance of Shiraz General Dentists about Infection Control Principles during Preparing Intraoral Radiographies

    Directory of Open Access Journals (Sweden)

    Abdolaziz Hagh Negahdar

    2017-02-01

    Full Text Available Background & Objective: Infection control in dental centers is affected by the persons’ attitude and knowledge about mechanisms of infection transmission. This study was designed to evaluate the knowledge and the attitude of Shiraz dentists about infection control during intraoral radiographies preparation. Materials & Methods: In this cross-sectional, and analytical research, the attitude and the knowledge of 45 male and 25 female, randomly selected dentists, were obtained through completion of a researcher- planed questioner which its validity and reliability had been confirmed. Data were analyzed using Cronbach`s alpha, one-way ANOVA, student’s t-test, and Pearson’s correlation coefficient in SPSS (V.21. Results: The average of the dentists’ age was 40.59±10.72 and their average occupational experience was 13.49±9.75 years. The mean score obtained for knowledge about infection control during intraoral radiographic procedures was less than fifty percent of total obtainable score, and was assessed as weak knowledge. There was no significant difference in the level of knowledge between studied male and female dentists (P>0.05. In addition, no significant relationship was detected between level, age/experience, and the university of education (P>0.05. The attitude of the dentists about infection control during intraoral radiography preparation assessed as moderate to good level. Conclusions: The results showed that the main reason for the present problems is insufficient knowledge of the dentists in related subjects. Therefore, the solution, which is recommended among dentists, is to raise their awareness and to change their attitudes and culture in order to improve their performance.

  18. General working principles of CH3NH3PbX3 perovskite solar cells.

    Science.gov (United States)

    Gonzalez-Pedro, Victoria; Juarez-Perez, Emilio J; Arsyad, Waode-Sukmawati; Barea, Eva M; Fabregat-Santiago, Francisco; Mora-Sero, Ivan; Bisquert, Juan

    2014-02-12

    Organometal halide perovskite-based solar cells have recently realized large conversion efficiency over 15% showing great promise for a new large scale cost-competitive photovoltaic technology. Using impedance spectroscopy measurements we are able to separate the physical parameters of carrier transport and recombination in working devices of the two principal morphologies and compositions of perovskite solar cells, viz. compact thin films of CH3NH3PbI(3-x)Clx and CH3NH3PbI3 infiltrated on nanostructured TiO2. The results show nearly identical spectral characteristics indicating a unique photovoltaic operating mechanism that provides long diffusion lengths (1 μm). Carrier conductivity in both devices is closely matched, so that the most significant differences in performance are attributed to recombination rates. These results highlight the central role of the CH3NH3PbX3 semiconductor absorber in carrier collection and provide a new tool for improved optimization of perovskite solar cells. We report for the first time a measurement of the diffusion length in a nanostructured perovskite solar cell.

  19. Maximally Localized States and Quantum Corrections of Black Hole Thermodynamics in the Framework of a New Generalized Uncertainty Principle

    Directory of Open Access Journals (Sweden)

    Yan-Gang Miao

    2015-01-01

    Full Text Available As a generalized uncertainty principle (GUP leads to the effects of the minimal length of the order of the Planck scale and UV/IR mixing, some significant physical concepts and quantities are modified or corrected correspondingly. On the one hand, we derive the maximally localized states—the physical states displaying the minimal length uncertainty associated with a new GUP proposed in our previous work. On the other hand, in the framework of this new GUP we calculate quantum corrections to the thermodynamic quantities of the Schwardzschild black hole, such as the Hawking temperature, the entropy, and the heat capacity, and give a remnant mass of the black hole at the end of the evaporation process. Moreover, we compare our results with that obtained in the frameworks of several other GUPs. In particular, we observe a significant difference between the situations with and without the consideration of the UV/IR mixing effect in the quantum corrections to the evaporation rate and the decay time. That is, the decay time can greatly be prolonged in the former case, which implies that the quantum correction from the UV/IR mixing effect may give rise to a radical rather than a tiny influence to the Hawking radiation.

  20. First principles justification of a ``single wave model'' for a general electrostatic instability

    Science.gov (United States)

    Crawford, J. D.; Jayaraman, A.

    1997-11-01

    The coefficients in the amplitude equation for an unstable mode in a multi-species Vlasov plasma are singular as the growth rate γ approaches zero. Rescaling the mode amplitude |A(t)|=γ^5/2r(γ t) cancels these singularities to all orders. (J.D. Crawford and A. Jayaraman, submitted to J. Math. Phys.; available from http://xxx.lanl.gov/abs/patt-sol/9706001) In addition, singularities arise in the asymptotic form of f(x,v,t); there are poles in the complex-velocity plane that approach the real velocity axis at the phase velocity vp as γarrow0^+. However the numerators contain factors of A(t), and we analyze the resulting product by introducing a singular velocity variable u=(v-v_p)/γ. In an \\cal O(γ) neighborhood of v_p, the weighted coefficients have finite, non-zero limits; outside this neighborhood, the coefficients vanish at γ=0. The complete asymptotic description of the instability contains non-resonant particles driven linearly by a monochromatic electric field E while the resonant particles at vp remain strongly nonlinear and yield a density spectrum with many wavenumbers. This picture recalls the single wave model of O'Neil et al. introduced for a cold beam-plasma instability with fixed ions.

  1. Polarity Correspondence: A General Principle for Performance of Speeded Binary Classification Tasks

    Science.gov (United States)

    Proctor, Robert W.; Cho, Yang Seok

    2006-01-01

    Differences in performance with various stimulus-response mappings are among the most prevalent findings for binary choice reaction tasks. The authors show that perceptual or conceptual similarity is not necessary to obtain mapping effects; a type of structural similarity is sufficient. Specifically, stimulus and response alternatives are coded as…

  2. Operant Principles Applied to the Acquisition and Generalization of Nonlittering Behavior in Children.

    Science.gov (United States)

    Baltes, Margaret M.

    The investigator felt that littering is a behavior contingent upon certain environmental conditions and that these conditions should be examined systematically. Specifically, this study sought to examine the effects of a behavior modification approach to littering with eight four-year-old subjects. Using token positive reinforcement, token…

  3. Authenticity of Mathematical Modeling

    Science.gov (United States)

    Tran, Dung; Dougherty, Barbara J.

    2014-01-01

    Some students leave high school never quite sure of the relevancy of the mathematics they have learned. They fail to see links between school mathematics and the mathematics of everyday life that requires thoughtful decision making and often complex problem solving. Is it possible to bridge the gap between school mathematics and the mathematics in…

  4. Over-constraints and a unified mobility method for general spatial mechanisms Part 2: Application of the principle

    Science.gov (United States)

    Lu, Wenjuan; Zeng, Daxing; Huang, Zhen

    2016-01-01

    The pre-research on mobility analysis presented a unified-mobility formula and a methodology based on reciprocal screw theory by HUANG, which focused on classical and modern parallel mechanisms. However its range of application needs to further extend to general multi-loop spatial mechanism. This kind of mechanism is not only more complex in structure but also with strong motion coupling among loops, making the mobility analysis even more complicated, and the relevant research has long been ignored. It is focused on how to apply the new principle for general spatial mechanism to those various multi-loop spatial mechanisms, and some new meaningful knowledge is further found. Several typical examples of the general multi-loop spatial mechanisms with motion couple even strong motion couple are considered. These spatial mechanisms include different closing way: over-constraint appearing in rigid closure, in movable closure, and in dynamic closure as well; these examples also include two different new methods to solve this kind of issue: the way to recognize over-constraints by analyzing relative movement between two connected links and by constructing a virtual loop to recognize over-constraints. In addition, over-constraint determination tabulation is brought to analyze the motion couple. The researches above are all based upon the screw theory. All these multi-loop spatial mechanisms with different kinds of structures can completely be solved by following the directions and examples, and the new mobility theory based on the screw theory is also proved to be valid. This study not only enriches and develops the theory and makes the theory more universal, but also has a special meaning for innovation in mechanical engineering.

  5. Endoscopic Scores for Evaluation of Crohn's Disease Activity at Small Bowel Capsule Endoscopy: General Principles and Current Applications.

    Science.gov (United States)

    Rosa, Bruno; Pinho, Rolando; de Ferro, Susana Mão; Almeida, Nuno; Cotter, José; Saraiva, Miguel Mascarenhas

    2016-01-01

    The small bowel is affected in the vast majority of patients with Crohn's Disease (CD). Small bowel capsule endoscopy (SBCE) has a very high sensitivity for the detection of CD-related pathology, including early mucosal lesions and/or those located in the proximal segments of the small bowel, which is a major advantage when compared with other small bowel imaging modalities. The recent guidelines of European Society of Gastrointestinal Endoscopy (ESGE) and European Crohn's and Colitis Organisation (ECCO) advocate the use of validated endoscopic scoring indices for the classification of inflammatory activity in patients with CD undergoing SBCE, such as the Lewis Score or the Capsule Endoscopy Crohn's Disease Activity Index (CECDAI). These scores aim to standardize the description of lesions and capsule endoscopy reports, contributing to increase inter-observer agreement and enabling a stratification of the severity of the disease. On behalf of the Grupo de Estudos Português do Intestino Delgado (GEPID) - Portuguese Small Bowel Study Group, we aimed to summarize the general principles and clinical applications of current endoscopic scoring systems for SBCE in the setting of CD, covering the topic of suspected CD as well as the evaluation of disease extent (with potential prognostic and therapeutic impact), evaluation of mucosal healing in response to treatment and evaluation of post-surgical recurrence in patients with previously established diagnosis of CD.

  6. A history of mathematics

    CERN Document Server

    Boyer, Carl B

    1989-01-01

    "Boyer and Merzbach distill thousands of years of mathematics into this fascinating chronicle. From the Greeks to Godel, the mathematics is brilliant; the cast of characters is distinguished; the ebb and flow of ideas is everywhere evident. And, while tracing the development of European mathematics, the authors do not overlook the contributions of Chinese, Indian, and Arabic civilizations. Without doubt, this is--and will long remain--a classic one-volume history of mathematics and mathematicians who create it." --William Dunham Author, Journey Through Genius, The Great Theorems of Mathematics "When we read a book like A History of Mathematics, we get the picture of a mounting structure, ever taller and broader and more beautiful and magnificent--and with a foundation, moreover, that is as untainted and as functional now as it was when Thales worked out the first geometrical theorems nearly 26 centuries ago." --From the Foreword by Isaac Asimov "One of the most useful and comprehensive general introductions t...

  7. Supporting African American Students' Learning of Mathematics: A Problem of Practice

    Science.gov (United States)

    Jackson, Kara; Wilson, Jonee

    2012-01-01

    This article reports on a review of the mathematics education research literature 1989-May 2011 specific to K-12 African American students' opportunities to learn mathematics. Although we identify important developments in the literature, we conclude that the existing research base generally remains at the level of broad principles or orientations…

  8. General relativity and mathematics; Relatividad General y Matematicas

    Energy Technology Data Exchange (ETDEWEB)

    Mars, M.

    2015-07-01

    General relativity is more than a theory of gravity, since any physical process occupies space and lasts for a time, forcing to reconcile that physical theory that describes what the dynamic nature of space-time itself. (Author)

  9. First-principles model potentials for lattice-dynamical studies: general methodology and example of application to ferroic perovskite oxides.

    Science.gov (United States)

    Wojdeł, Jacek C; Hermet, Patrick; Ljungberg, Mathias P; Ghosez, Philippe; Íñiguez, Jorge

    2013-07-31

    We present a scheme to construct model potentials, with parameters computed from first principles, for large-scale lattice-dynamical simulations of materials. We mimic the traditional solid-state approach to the investigation of vibrational spectra, i.e., we start from a suitably chosen reference configuration of the compound and describe its energy as a function of arbitrary atomic distortions by means of a Taylor series. Such a form of the potential-energy surface is general, trivial to formulate for any material, and physically transparent. Further, such models involve clear-cut approximations, their precision can be improved in a systematic fashion, and their simplicity allows for convenient and practical strategies to compute/fit the potential parameters. We illustrate our scheme with two challenging cases in which the model potential is strongly anharmonic, namely, the ferroic perovskite oxides PbTiO3 and SrTiO3. Studying these compounds allows us to better describe the connection between the so-called effective-Hamiltonian method and ours (which may be seen as an extension of the former), and to show the physical insight and predictive power provided by our approach-e.g., we present new results regarding the factors controlling phase-transition temperatures, novel phase transitions under elastic constraints, an improved treatment of thermal expansion, etc.

  10. A South African perspective on children's rights: general principles.

    Science.gov (United States)

    Klinck, M E; Iuris, B; Louw, D A; Peens, B J

    2000-01-01

    South Africa has made rapid progress in the field of human and especially children's rights. This is in sharp contrast with it's apartheid history where even the basic principles of human rights were negated. In this article an overview will be given of the general principles on which the realization of children's rights in South Africa are based. More specifically information on the population, economic status, political climate and recent developments in this field is presented. This is followed by a discussion on the social-economic nature of children's rights, the courts as enforcement mechanisms, and the contents of the best interest standard as described both in convention on the rights of the child and the South African Constitution.

  11. First-principles local density approximation (LDA)+ U and generalized gradient approximation (GGA) + U studies of plutonium oxides

    Institute of Scientific and Technical Information of China (English)

    Sun Bo; Zhang Ping

    2008-01-01

    The electronic structures and properties of PuO2 and Pu2O3 have been studied according to the first principles by using the all-electron projector-augmented-wave (PAW) method. The local density approximation (LDA)+U and the generalized gradient approximation (GGA)+U formalisms have been used to account for the strong on-site Coulomb repulsion among the localized Pu 5f electrons. We discuss how the properties of PuO2 and Pu2O3 are affected by choosing the values of U and exchange-correlation potential. Also, the oxidation reaction of Pu2O3, leading to the formation of PuO2, and its dependence on U and exchange-correlation potential have been studied. Our results show that by choosing an appropriate U it is possible to consistently describe structural, electronic, and thermodynamic properties of PuO2 and Pu2O3, which enable the modelling of the redox process involving Pu-based materials.

  12. Principles of Lasers

    CERN Document Server

    Svelto, Orazio

    2010-01-01

    This new Fifth Edition of Principles of Lasers incorporates corrections to the previous edition. The text’s essential mission remains the same: to provide a wide-ranging yet unified description of laser behavior, physics, technology, and current applications. Dr. Svelto emphasizes the physical rather than the mathematical aspects of lasers, and presents the subject in the simplest terms compatible with a correct physical understanding. Praise for earlier editions: "Professor Svelto is himself a longtime laser pioneer and his text shows the breadth of his broad acquaintance with all aspects of the field … Anyone mastering the contents of this book will be well prepared to understand advanced treatises and research papers in laser science and technology." (Arthur L. Schawlow, 1981 Nobel Laureate in Physics) "Already well established as a self-contained introduction to the physics and technology of lasers … Professor Svelto’s book, in this lucid translation by David Hanna, can be strongly recommended for...

  13. Constraining the generalized uncertainty principle with cold atoms

    CERN Document Server

    Gao, Dongfeng

    2016-01-01

    Various theories of quantum gravity predict the existence of a minimum length scale, which implies the Planck-scale modifications of the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP). Previous studies of the GUP focused on its implications for high-energy physics, cosmology, and astrophysics. Here, the application of the GUP to low-energy quantum systems, and particularly cold atoms, is studied. Results from the $^{87}$Rb atom recoil experiment are used to set upper bounds on parameters in three different GUP proposals. A $10^{14}$-level bound on the Ali-Das-Vagenas proposal is found, which is the second best bound so far. A $10^{26}$-level bound on Maggiore's proposal is obtained, which turns out to be the best available bound on it.

  14. A course of higher mathematics

    CERN Document Server

    Smirnov, Vladimir Ivanovich; Lohwater, A J

    1964-01-01

    A Course of Higher Mathematics, I: Elementary Calculus is a five-volume course of higher mathematics used by mathematicians, physicists, and engineers in the U.S.S.R. This volume deals with calculus and principles of mathematical analysis including topics on functions of single and multiple variables. The functional relationships, theory of limits, and the concept of differentiation, whether as theories and applications, are discussed. This book also examines the applications of differential calculus to geometry. For example, the equations to determine the differential of arc or the parameter

  15. Principles of artificial intelligence

    CERN Document Server

    Nilsson, Nils J

    1980-01-01

    A classic introduction to artificial intelligence intended to bridge the gap between theory and practice, Principles of Artificial Intelligence describes fundamental AI ideas that underlie applications such as natural language processing, automatic programming, robotics, machine vision, automatic theorem proving, and intelligent data retrieval. Rather than focusing on the subject matter of the applications, the book is organized around general computational concepts involving the kinds of data structures used, the types of operations performed on the data structures, and the properties of th

  16. FORMATION PROGRAM IN MATHEMATICS AT THE TECHNICAL UNIVERSITY AND THE QUALITY OF KNOWLEDGE

    Directory of Open Access Journals (Sweden)

    Y. P. Bogomolova

    2016-01-01

    Full Text Available The aim of the study is to discuss the maintenance of the educational programs for mathematical disciplines existing at the higher school and problems of teaching mathematics at training of specialists of the engineering directions.Activity and competence basis of mathematical education of engineers can not be increased within a tough part of the conservative academic programs in mathematics. Program in mathematics for undergraduate engineering training areas do not meet the needs of engineering professional education. They meet the requirements of educational standards only in form, but in fact, are copies of traditional academic programs of the last century. Absence of accurate recommendations about reconstruction of mathematical chairs of curricula, operating decades habitual for teachers, leads only to formal mechanical reduction of the hours which are taken away on studying of the demanded sections and subjects.Methods. The methods involve analysis, generalization, and written anonymous survey among students.Results and scientific novelty. Analysis of existing programs, the results of their assimilation, and the teaching of mathematics in general leads to the need to put forward new real principles of the program of mathematical disciplines. As such new principles of selection of the content of mathematical preparation the principles of lacunarity, reliability, minimalism, selectivity and ICT-support are offered. The methods of realization of these principles are the following: analysis of competences, analysis of scientific articles and theses on group of the scientific specialties connected with the directions of training, carrying out analogies, interviewing of key experts and teachers, expert estimates, formalization of requirements, etc. Restructuring of mathematics programs is designed to develop logical and algorithmic thinking of engineering students; to cultivate an applied mathematical culture; formation of insight and erudition

  17. Introducing philosophy of mathematics

    CERN Document Server

    Friend, Michele

    2014-01-01

    What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual acc

  18. The Impact of the Interaction between Verbal and Mathematical ...

    African Journals Online (AJOL)

    A.K.K. Odhiambo and S.O. Gunga

    mathematical language and verbal language, and that the teaching of mathematics ... Learning mathematics results in more than a mastery of basic skills: .... crossing cultural and language barriers.… in general, a mathematics equation.

  19. Viscous Regularization of the Euler Equations and Entropy Principles

    KAUST Repository

    Guermond, Jean-Luc

    2014-03-11

    This paper investigates a general class of viscous regularizations of the compressible Euler equations. A unique regularization is identified that is compatible with all the generalized entropies, à la [Harten et al., SIAM J. Numer. Anal., 35 (1998), pp. 2117-2127], and satisfies the minimum entropy principle. A connection with a recently proposed phenomenological model by [H. Brenner, Phys. A, 370 (2006), pp. 190-224] is made. © 2014 Society for Industrial and Applied Mathematics.

  20. Concepts of modern mathematics

    CERN Document Server

    Stewart, Ian

    1995-01-01

    Some years ago, ""new math"" took the country's classrooms by storm. Based on the abstract, general style of mathematical exposition favored by research mathematicians, its goal was to teach students not just to manipulate numbers and formulas, but to grasp the underlying mathematical concepts. The result, at least at first, was a great deal of confusion among teachers, students, and parents. Since then, the negative aspects of ""new math"" have been eliminated and its positive elements assimilated into classroom instruction.In this charming volume, a noted English mathematician uses humor an

  1. Mathematical Analysis of a General Two-Patch Model of Tuberculosis Disease with Lost Sight Individuals

    Directory of Open Access Journals (Sweden)

    Abdias Laohombé

    2014-01-01

    Full Text Available A two-patch model, SEi1,…,EinIiLi,  i=1,2, is used to analyze the spread of tuberculosis, with an arbitrary number n of latently infected compartments in each patch. A fraction of infectious individuals that begun their treatment will not return to the hospital for the examination of sputum. This fact usually occurs in sub-Saharan Africa, due to many reasons. The model incorporates migrations from one patch to another. The existence and uniqueness of the associated equilibria are discussed. A Lyapunov function is used to show that when the basic reproduction ratio is less than one, the disease-free equilibrium is globally and asymptotically stable. When it is greater than one, there exists at least one endemic equilibrium. The local stability of endemic equilibria can be illustrated using numerical simulations. Numerical simulation results are provided to illustrate the theoretical results and analyze the influence of lost sight individuals.

  2. Computational principles of memory.

    Science.gov (United States)

    Chaudhuri, Rishidev; Fiete, Ila

    2016-03-01

    The ability to store and later use information is essential for a variety of adaptive behaviors, including integration, learning, generalization, prediction and inference. In this Review, we survey theoretical principles that can allow the brain to construct persistent states for memory. We identify requirements that a memory system must satisfy and analyze existing models and hypothesized biological substrates in light of these requirements. We also highlight open questions, theoretical puzzles and problems shared with computer science and information theory.

  3. General rule antielisive chartered the National Tax Code confrontation between the principle of ability to pay and the rule of closed typicality and the alleged tax by analogy

    Directory of Open Access Journals (Sweden)

    Willian Robert Nahra Filho

    2012-04-01

    Full Text Available Check the possibility of the general standard employment antielisiva the parental right, ouseja, taxation by analogy legal fact extratípico effects econômicosequivalentes the typical legal fact, based on the abuse of rights doctrine and noprincípio of ability. Analysis in the face of the principles of legalidadeestrita and closed typicality, the principle of security developments jurídica.Conclui the impossibility of taxation by analogy for the offense to dasegurança legal principle that stands for certainty and predictability in entreEstado relations and taxpayers. The breach of the principle of strict legality because deexigência specific and qualified law to detributos institution. The offense aoprincípio closed typicality that prevents the tax nãodescrito legal fact with all its details by law. These principles not passíveissequer limitation, since they are immutable clauses. Inability to restriçãoda full effectiveness of the rule of the principle of typicality contributiva.Impossibilidade ability to taxation by the integrative method of analogy, therefore existecerta charge, even if relative, creativity inherent in the method and dependent inexistirlacunas fill in relevant matters to detributos institution , existing in reality free of the right spaces.

  4. Generalization of first-principles thermodynamic model: Application to hexagonal close-packed ε-Fe3N

    DEFF Research Database (Denmark)

    Bakkedal, Morten B.; Shang, Shu- Li; Liu, Zi-Kui;

    2016-01-01

    temperatures was generalized in terms of the partition function for any lattice of interest. Specially, thermal expansion of the hexagonal close-packed ε phase with two independent lattice parameters was studied by means of the present model and first-principles phonon calculations. The present predictions...... of thermal expansion of ε-Fe3N are in good agreement with experimental data....

  5. Cosmological constant implementing Mach principle in general relativity

    Science.gov (United States)

    Namavarian, Nadereh; Farhoudi, Mehrdad

    2016-10-01

    We consider the fact that noticing on the operational meaning of the physical concepts played an impetus role in the appearance of general relativity (GR). Thus, we have paid more attention to the operational definition of the gravitational coupling constant in this theory as a dimensional constant which is gained through an experiment. However, as all available experiments just provide the value of this constant locally, this coupling constant can operationally be meaningful only in a local area. Regarding this point, to obtain an extension of GR for the large scale, we replace it by a conformal invariant model and then, reduce this model to a theory for the cosmological scale via breaking down the conformal symmetry through singling out a specific conformal frame which is characterized by the large scale characteristics of the universe. Finally, we come to the same field equations that historically were proposed by Einstein for the cosmological scale (GR plus the cosmological constant) as the result of his endeavor for making GR consistent with the Mach principle. However, we declare that the obtained field equations in this alternative approach do not carry the problem of the field equations proposed by Einstein for being consistent with Mach's principle (i.e., the existence of de Sitter solution), and can also be considered compatible with this principle in the Sciama view.

  6. Figures of thought mathematics and mathematical texts

    CERN Document Server

    Reed, David

    2003-01-01

    Examines the ways in which mathematical works can be read as texts, examines their textual strategiesand demonstrates that such readings provide a rich source of philosophical debate regarding mathematics.

  7. A general maximum entropy framework for thermodynamic variational principles

    Energy Technology Data Exchange (ETDEWEB)

    Dewar, Roderick C., E-mail: roderick.dewar@anu.edu.au [Research School of Biology, The Australian National University, Canberra ACT 0200 (Australia)

    2014-12-05

    Minimum free energy principles are familiar in equilibrium thermodynamics, as expressions of the second law. They also appear in statistical mechanics as variational approximation schemes, such as the mean-field and steepest-descent approximations. These well-known minimum free energy principles are here unified and extended to any system analyzable by MaxEnt, including non-equilibrium systems. The MaxEnt Lagrangian associated with a generic MaxEnt distribution p defines a generalized potential Ψ for an arbitrary probability distribution p-hat, such that Ψ is a minimum at (p-hat) = p. Minimization of Ψ with respect to p-hat thus constitutes a generic variational principle, and is equivalent to minimizing the Kullback-Leibler divergence between p-hat and p. Illustrative examples of min–Ψ are given for equilibrium and non-equilibrium systems. An interpretation of changes in Ψ is given in terms of the second law, although min–Ψ itself is an intrinsic variational property of MaxEnt that is distinct from the second law.

  8. A general maximum entropy framework for thermodynamic variational principles

    Science.gov (United States)

    Dewar, Roderick C.

    2014-12-01

    Minimum free energy principles are familiar in equilibrium thermodynamics, as expressions of the second law. They also appear in statistical mechanics as variational approximation schemes, such as the mean-field and steepest-descent approximations. These well-known minimum free energy principles are here unified and extended to any system analyzable by MaxEnt, including non-equilibrium systems. The MaxEnt Lagrangian associated with a generic MaxEnt distribution p defines a generalized potential Ψ for an arbitrary probability distribution ̂p, such that Ψ is a minimum at ̂p = p. Minimization of Ψ with respect to ̂p thus constitutes a generic variational principle, and is equivalent to minimizing the Kullback-Leibler divergence between ̂p and p. Illustrative examples of min-Ψ are given for equilibrium and non-equilibrium systems. An interpretation of changes in Ψ is given in terms of the second law, although min-Ψ itself is an intrinsic variational property of MaxEnt that is distinct from the second law.

  9. Statutory Interpretation: General Principles and Recent Trends

    Science.gov (United States)

    2006-03-30

    278 U.S. 41, 48 (1928) (Justice Holmes for Court). 14 Karl Llewellyn, Remarks on the Theory of Appellate Decision and the Rules or Canons About How...Statutes Are To Be Construed, 3 VAND. L. REV. 395 (1950). 15 Landgraf v. USI Film Products, 511 U.S. 244, 263-64 (1994) (traditional presumption against...when application would be tantamount to a formalistic disregard of congressional intent.”12 Canons of construction are basically context-dependent

  10. Principles of Instructed Language Learning

    Science.gov (United States)

    Ellis, Rod

    2005-01-01

    This article represents an attempt to draw together findings from a range of second language acquisition studies in order to formulate a set of general principles for language pedagogy. These principles address such issues as the nature of second language (L2) competence (as formulaic and rule-based knowledge), the contributions of both focus on…

  11. The combined effect of mathematics skills and formal operational reasoning on student performance in the general physics course

    Science.gov (United States)

    Hudson, H. T.; Liberman, Dov

    1982-12-01

    Precourse tests of computational skills in algebra and trigonometry and of formal operational reasoning have been correlated with performance in the algebra-based introductory physics course for 80 students. The correlation coefficient for mathematics and physics was 0.345 (p<0.001) and for formal operational reasoning and physics was 0.435 (p<0.001). However, a multiple regression analysis of the combined effect of mathematics and formal operational reasoning on the total physics grade yielded a multiple R of 0.518, R2=0.268. This study found that the combination of precourse measures of mathematics computational skills and abstract reasoning explained over 25% of the variance in the final physics grade distribution.

  12. Individual differences in children's mathematics achievement: The roles of symbolic numerical magnitude processing and domain-general cognitive functions.

    Science.gov (United States)

    Vanbinst, K; De Smedt, B

    2016-01-01

    This contribution reviewed the available evidence on the domain-specific and domain-general neurocognitive determinants of children's arithmetic development, other than nonsymbolic numerical magnitude processing, which might have been overemphasized as a core factor of individual differences in mathematics and dyscalculia. We focused on symbolic numerical magnitude processing, working memory, and phonological processing, as these determinants have been most researched and their roles in arithmetic can be predicted against the background of brain imaging data. Our review indicates that symbolic numerical magnitude processing is a major determinant of individual differences in arithmetic. Working memory, particularly the central executive, also plays a role in learning arithmetic, but its influence appears to be dependent on the learning stage and experience of children. The available evidence on phonological processing suggests that it plays a more subtle role in children's acquisition of arithmetic facts. Future longitudinal studies should investigate these factors in concert to understand their relative contribution as well as their mediating and moderating roles in children's arithmetic development.

  13. Principles of Equilibrium Statistical Mechanics

    Science.gov (United States)

    Chowdhury, Debashish; Stauffer, Dietrich

    2000-09-01

    This modern textbook provides a complete survey of the broad field of statistical mechanics. Based on a series of lectures, it adopts a special pedagogical approach. The authors, both excellent lecturers, clearly distinguish between general principles and their applications in solving problems. Analogies between phase transitions in fluids and magnets using continuum and spin models are emphasized, leading to a better understanding. Such special features as historical notes, summaries, problems, mathematical appendix, computer programs and order of magnitude estimations distinguish this volume from competing works. Due to its ambitious level and an extensive list of references for technical details on advanced topics, this is equally a must for researchers in condensed matter physics, materials science, polymer science, solid state physics, and astrophysics. From the contents Thermostatics: phase stability, phase equilibria, phase transitions; Statistical Mechanics: calculation, correlation functions, ideal classical gases, ideal quantum gases; Interacting Systems: models, computer simulation, mean-field approximation; Interacting Systems beyond Mean-field Theory: scaling and renormalization group, foundations of statistical mechanics "The present book, however, is unique that it both is written in a very pedagogic, easily comprehensible style, and, nevertheless, goes from the basic principles all the way to these modern topics, containing several chapters on the various approaches of mean field theory, and a chapter on computer simulation. A characteristic feature of this book is that often first some qualitative arguments are given, or a "pedestrians's approach", and then a more general and/or more rigorous derivation is presented as well. Particularly useful are also "supplementary notes", pointing out interesting applications and further developments of the subject, a detailed bibliography, problems and historical notes, and many pedagogic figures."

  14. Comparison of the Effects of Computer-Based Practice and Conceptual Understanding Interventions on Mathematics Fact Retention and Generalization

    Science.gov (United States)

    Kanive, Rebecca; Nelson, Peter M.; Burns, Matthew K.; Ysseldyke, James

    2014-01-01

    The authors' purpose was to determine the effects of computer-based practice and conceptual interventions on computational fluency and word-problem solving of fourth- and fifth-grade students with mathematics difficulties. A randomized pretest-posttest control group design found that students assigned to the computer-based practice intervention…

  15. Mathematics Teachers' Criteria of Dimension

    Science.gov (United States)

    Ural, Alattin

    2014-01-01

    The aim of the study is to determine mathematics teachers' decisions about dimensions of the geometric figures, criteria of dimension and consistency of decision-criteria. The research is a qualitative research and the model applied in the study is descriptive method on the basis of general scanning model. 15 mathematics teachers attended the…

  16. Principles of laser dynamics

    CERN Document Server

    Khanin, YI

    1995-01-01

    This monograph summarizes major achievements in laser dynamics over the past three decades. The book begins with two introductory Chapters. Chapter 1 offers general considerations on quantum oscillators, formulates the requirements for the laser key elements and shows how these requirements are met in different laser systems. The second Chapter proposes the mathematical models used in semiclassical laser theory, discusses the approximations and simplifications in particular cases, and specifies the range of applicability of these models. In Chapters 3-5 attention is given primarily to the stea

  17. Generalized uncertainty principle and thermostatistics: a semiclassical approach

    CERN Document Server

    Abbasiyan-Motlaq, M

    2015-01-01

    We present an exact treatment of the thermodynamics of physical systems in the framework of the generalized uncertainty principle (GUP). Our purpose is to study and compare the consequences of two GUPs that one implies a minimal length while the other predicts a minimal length and a maximal momentum. Using a semiclassical method, we exactly calculate the modified internal energies and heat capacities in the presence of generalized commutation relations. We show that the total shift in these quantities only depends on the deformed algebra not on the system under study. Finally, the modified internal energy for an specific physical system such as ideal gas is obtained in the framework of two different GUPs.

  18. Bounds on Large Extra Dimensions from the Generalized Uncertainty Principle

    CERN Document Server

    Cavaglia, Marco; Hou, Shaoqi

    2016-01-01

    The Generalized Uncertainty Principle (GUP) implies the existence of a physical minimum length scale $l_m$. In this scenario, black holes must have a radius larger than $l_m$. They are hotter and evaporate faster than in standard Hawking thermodynamics. We study the effects of the GUP on black hole production and decay at the LHC in models with large extra dimensions. Lower bounds on the fundamental Planck scale and the minimum black hole mass at formation are determined from black hole production cross section limits by the CMS Collaboration. The existence of a minimum length generally decreases the lower bounds on the fundamental Planck scale obtained in the absence of a minimum length.

  19. Mathematical modeling of turbulent reacting plumes - I. General theory and model formulation

    Energy Technology Data Exchange (ETDEWEB)

    Georgopoulos, P.G.; Seinfeld, J.H.

    1986-01-01

    A new, comprehensive model for a chemically reacting plume is presented that accounts for the effects of incomplete turbulent macro- and micromixing on chemical reactions between plume and atmospheric constituents. The model is modular in nature, allowing for the use of different levels of approximation of the phenomena involved. The core of the model consists of the evolution equations for reaction progress variables appropriate for evolving spatially varying systems. These equations estimate the interaction of mixing and chemical reaction and require input parameters characterizing internal plume behavior, such as relative dispersion and fine scale plume segregation. The model addresses deficiencies in previous reactive plume models. Part II is devoted to atmospheric application of the model. (authors).

  20. Principles of harmonic analysis

    CERN Document Server

    Deitmar, Anton

    2014-01-01

    This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.

  1. Transnational Cooperation in Criminal Matters and the Guarantee of a Fair Trial: Approaches to a General Principle

    Directory of Open Access Journals (Sweden)

    Sabine Gless

    2013-09-01

    Full Text Available The right to a fair trial has grown in importance over the past few decades as criminal procedures and human rights law have aligned themselves more and more closely. A core aspect of our current European understanding of a ‘fair criminal trial’ is the so-called ‘equality of arms’, which requires that each party be given a reasonable opportunity to present his case under conditions that do not place him at a substantial disadvantage vis-à-vis his opponent. In cases which affect more than one jurisdiction – either because an alleged crime causes damage in different countries, evidence is located abroad or for some other reason – the accused and his defence lawyer may be left without any such a guarantee in the legal ‘black hole’ between the protections that are normally offered by each of the jurisdictions involved, albeit separately.The situation is not one of a dramatic alteration of legal frameworks; instead, it is the small encroachments caused by transnational cooperation that matter and which can be summed up on the basis that domestic and foreign prosecution authorities have, effectively, closed the circuit between them. These authorities are now embedded in formal networks which would have, for instance, the possibility to forum shop (i.e. to choose the ‘best place’ to prosecute. The emerging EU legal framework that has been built on mutual recognition and installing new central agencies has added to the problems faced by the defence. Moreover, the existing legal regimes designed to protect do not grant ‘equality of arms’ in the space between jurisdictions: national law usually provides few answers and international law, including the likes of the ECHR or the EU Charter on Fundamental Rights, do not offer many solutions, either.This article therefore argues that an aspiring ‘right to a fair trial’ or, rather, an entitlement to equality of arms as a general principle of transnational criminal justice that would

  2. Transnational Cooperation in Criminal Matters and the Guarantee of a Fair Trial: Approaches to a General Principle

    Directory of Open Access Journals (Sweden)

    Sabine Gless

    2013-09-01

    Full Text Available The right to a fair trial has grown in importance over the past few decades as criminal procedures and human rights law have aligned themselves more and more closely. A core aspect of our current European understanding of a ‘fair criminal trial’ is the so-called ‘equality of arms’, which requires that each party be given a reasonable opportunity to present his case under conditions that do not place him at a substantial disadvantage vis-à-vis his opponent. In cases which affect more than one jurisdiction – either because an alleged crime causes damage in different countries, evidence is located abroad or for some other reason – the accused and his defence lawyer may be left without any such a guarantee in the legal ‘black hole’ between the protections that are normally offered by each of the jurisdictions involved, albeit separately.The situation is not one of a dramatic alteration of legal frameworks; instead, it is the small encroachments caused by transnational cooperation that matter and which can be summed up on the basis that domestic and foreign prosecution authorities have, effectively, closed the circuit between them. These authorities are now embedded in formal networks which would have, for instance, the possibility to forum shop (i.e. to choose the ‘best place’ to prosecute. The emerging EU legal framework that has been built on mutual recognition and installing new central agencies has added to the problems faced by the defence. Moreover, the existing legal regimes designed to protect do not grant ‘equality of arms’ in the space between jurisdictions: national law usually provides few answers and international law, including the likes of the ECHR or the EU Charter on Fundamental Rights, do not offer many solutions, either.This article therefore argues that an aspiring ‘right to a fair trial’ or, rather, an entitlement to equality of arms as a general principle of transnational criminal justice that would

  3. An extremum principle for computation of the zone of tooth contact and generalized transmission error of spiral bevel gears

    Science.gov (United States)

    Mark, W. D.

    1988-01-01

    For a given set of forces transmitted by the gears, each of the three components of the generalized transmission error of spiral bevel gears is shown to be stationary with respect to small independent variations in the positions of the endpoints of the lines of tooth contact about their true values. The tangential generalized transmission error component is shown to take on a minimum value at the true endpoint positions. A computational procedure based on the method of steepest descent is described for computing the true line of contact endpoint positions and the three components of the generalized transmission error. A method for computing the Fourier series coefficients of the tooth meshing harmonics of the three generalized transmission error components also is provided.

  4. Principles of quantum chemistry

    CERN Document Server

    George, David V

    2013-01-01

    Principles of Quantum Chemistry focuses on the application of quantum mechanics in physical models and experiments of chemical systems.This book describes chemical bonding and its two specific problems - bonding in complexes and in conjugated organic molecules. The very basic theory of spectroscopy is also considered. Other topics include the early development of quantum theory; particle-in-a-box; general formulation of the theory of quantum mechanics; and treatment of angular momentum in quantum mechanics. The examples of solutions of Schroedinger equations; approximation methods in quantum c

  5. Underground Mathematics

    Science.gov (United States)

    Hadlock, Charles R

    2013-01-01

    The movement of groundwater in underground aquifers is an ideal physical example of many important themes in mathematical modeling, ranging from general principles (like Occam's Razor) to specific techniques (such as geometry, linear equations, and the calculus). This article gives a self-contained introduction to groundwater modeling with…

  6. Design Principles for Serious Video Games in Mathematics Education: From Theory to Practice

    Directory of Open Access Journals (Sweden)

    Konstantinos Chorianopoulos

    2014-09-01

    Full Text Available There is growing interest in the employment of serious video games in science education, but there are no clear design principles. After surveying previous work in serious video game design, we highlighted the following design principles: 1 engage the students with narrative (hero, story, 2 employ familiar gameplay mechanics from popular video games, 3 engage students into constructive trial and error game-play and 4 situate collaborative learning. As illustrated examples we designed two math video games targeted to primary education students. The gameplay of the math video games embeds addition operations in a seamless way, which has been inspired by that of classic platform games. In this way, the students are adding numbers as part of popular gameplay mechanics and as a means to reach the video game objective, rather than as an end in itself. The employment of well-defined principles in the design of math video games should facilitate the evaluation of learning effectiveness by researchers. Moreover, educators can deploy alternative versions of the games in order to engage students with diverse learning styles. For example, some students might be motived and benefited by narrative, while others by collaboration, because it is unlikely that one type of serious video game might fit all learning styles. The proposed principles are not meant to be an exhaustive list, but a starting point for extending the list and applying them in other cases of serious video games beyond mathematics and learning.

  7. Supersymmetry breaking as a new source for the generalized uncertainty principle

    Science.gov (United States)

    Faizal, Mir

    2016-06-01

    In this letter, we will demonstrate that the breaking of supersymmetry by a non-anticommutative deformation can be used to generate the generalized uncertainty principle. We will analyze the physical reasons for this observation, in the framework of string theory. We also discuss the relation between the generalized uncertainty principle and the Lee-Wick field theories.

  8. The relation between the general maxim of causality and the principle of uniformity in hume's theory of knowledge

    Directory of Open Access Journals (Sweden)

    José Oscar de Almeida Marques

    2012-06-01

    Full Text Available ABSTRACT When Hume, in the Treatise on Human Nature, began his examination of the relation of cause and effect, in particular, of the idea of necessary connection which is its essential constituent, he identified two preliminary questions that should guide his research: (1 For what reason we pronounce it necessary that every thing whose existence has a beginning should also have a cause and (2 Why we conclude that such particular causes must necessarily have such particular effects? (1.3.2, 14-15 Hume observes that our belief in these principles can result neither from an intuitive grasp of their truth nor from a reasoning that could establish them by demonstrative means. In particular, with respect to the first, Hume examines and rejects some arguments with which Locke, Hobbes and Clarke tried to demonstrate it, and suggests, by exclusion, that the belief that we place on it can only come from experience. Somewhat surprisingly, however, Hume does not proceed to show how that derivation of experience could be made, but proposes instead to move directly to an examination of the second principle, saying that, "perhaps, be found in the end, that the same answer will serve for both questions" (1.3.3, 9. Hume's answer to the second question is well known, but the first question is never answered in the rest of the Treatise, and it is even doubtful that it could be, which would explain why Hume has simply chosen to remove any mention of it when he recompiled his theses on causation in the Enquiry concerning Human Understanding. Given this situation, an interesting question that naturally arises is to investigate the relations of logical or conceptual implication between these two principles. Hume seems to have thought that an answer to (2 would also be sufficient to provide an answer to (1. Henry Allison, in his turn, argued (in Custom and Reason in Hume, p. 94-97 that the two questions are logically independent. My proposal here is to try to show

  9. Principles of project management

    Science.gov (United States)

    1982-01-01

    The basic principles of project management as practiced by NASA management personnel are presented. These principles are given as ground rules and guidelines to be used in the performance of research, development, construction or operational assignments.

  10. Surface-Height Determination of Crevassed Glaciers-Mathematical Principles of an Autoadaptive Density-Dimension Algorithm and Validation Using ICESat-2 Simulator (SIMPL) Data

    Science.gov (United States)

    Herzfeld, Ute C.; Trantow, Thomas M.; Harding, David; Dabney, Philip W.

    2017-01-01

    Glacial acceleration is a main source of uncertainty in sea-level-change assessment. Measurement of ice-surface heights with a spatial and temporal resolution that not only allows elevation-change calculation, but also captures ice-surface morphology and its changes is required to aid in investigations of the geophysical processes associated with glacial acceleration.The Advanced Topographic Laser Altimeter System aboard NASAs future ICESat-2 Mission (launch 2017) will implement multibeam micropulse photon-counting lidar altimetry aimed at measuring ice-surface heights at 0.7-m along-track spacing. The instrument is designed to resolve spatial and temporal variability of rapidly changing glaciers and ice sheets and the Arctic sea ice. The new technology requires the development of a new mathematical algorithm for the retrieval of height information.We introduce the density-dimension algorithm (DDA) that utilizes the radial basis function to calculate a weighted density as a form of data aggregation in the photon cloud and considers density an additional dimension as an aid in auto-adaptive threshold determination. The auto-adaptive capability of the algorithm is necessary to separate returns from noise and signal photons under changing environmental conditions. The algorithm is evaluated using data collected with an ICESat-2 simulator instrument, the Slope Imaging Multi-polarization Photon-counting Lidar, over the heavily crevassed Giesecke Braer in Northwestern Greenland in summer 2015. Results demonstrate that ICESat-2 may be expected to provide ice-surface height measurements over crevassed glaciers and other complex ice surfaces. The DDA is generally applicable for the analysis of airborne and spaceborne micropulse photon-counting lidar data over complex and simple surfaces.

  11. Mathematical foundation of computer science

    CERN Document Server

    Singh, YN

    2005-01-01

    The interesting feature of this book is its organization and structure. That consists of systematizing of the definitions, methods, and results that something resembling a theory. Simplicity, clarity, and precision of mathematical language makes theoretical topics more appealing to the readers who are of mathematical or non-mathematical background. For quick references and immediate attentions¾concepts and definitions, methods and theorems, and key notes are presented through highlighted points from beginning to end. Whenever, necessary and probable a visual approach of presentation is used. The amalgamation of text and figures make mathematical rigors easier to understand. Each chapter begins with the detailed contents, which are discussed inside the chapter and conclude with a summary of the material covered in the chapter. Summary provides a brief overview of all the topics covered in the chapter. To demonstrate the principles better, the applicability of the concepts discussed in each topic are illustrat...

  12. P-Distances, Q-Distances and a Generalized Ekeland's Variational Principle in Uniform Spaces

    Institute of Scientific and Technical Information of China (English)

    Jing Hui QIU; Fei HE

    2012-01-01

    In this paper,we attempt to give a unified approach to the existing several versions of Ekeland's variational principle. In the framework of uniform spaces,we introduce p-distances and more generally,q-distances.Then we introduce a new type of completeness for uniform spaces,i.e.,sequential completeness with respect to a q-distance (particularly,a p-distance),which is a very extensive concept of completeness.By using q-distances and the new type of completeness,we prove a generalized Takahashi's nonconvex minimization theorem,a generalized Ekeland's variational principle and a generalized Caristi's fixed point theorem.Moreover,we show that the above three theorems are equivalent to each other.From the generalized Ekeland's variational principle,we deduce a number of particular versions of Ekeland's principle,which include many known versions of the principle and their improvements.

  13. PRINCIPLES OF ANIMAL BREEDING

    Directory of Open Access Journals (Sweden)

    Sonja Jovanovac

    2014-06-01

    Full Text Available University textbook Principles of Animal Breeding is intended for students of agriculture and veterinary medicine. The material is the adapted curricula of undergraduate and graduate level studies in the framework of which the modules Principles of animal breeding as well as Basics of genetics and selection of animals attended are listened. The textbook contains 14 chapters and a glossary of terms. Its concept enables combining fundamental and modern knowledge in the breeding and selection of animals based on balanced and quality manner. The textbook material can be divided into several thematic sections. The first one relates to the classical notions of domestic animals breeding such as the history of breeding, domestication, breed, hereditary and non-hereditary variability and description of general and production traits. The second section focuses on the basic concepts in population and quantitative genetics, as well as biometrics. The third unit is dedicated to the principles of selection and domestic animals improving. The fourth unit relates to the current concepts and objectives of the molecular markers use in domestic animals selection and breeding. The above material has been submitted to the Croatian universities, but so far it has not been published as a textbook. The Ministry of Science, Education and Sports of Republic of Croatia approved financial support for the textbook publication.

  14. The mathematical formula of the intravaginal ejaculation latency time (IELT) distribution of lifelong premature ejaculation differs from the IELT distribution formula of men in the general male population

    Science.gov (United States)

    Janssen, Paddy K.C.

    2016-01-01

    Purpose To find the most accurate mathematical description of the intravaginal ejaculation latency time (IELT) distribution in the general male population. Materials and Methods We compared the fitness of various well-known mathematical distributions with the IELT distribution of two previously published stopwatch studies of the Caucasian general male population and a stopwatch study of Dutch Caucasian men with lifelong premature ejaculation (PE). The accuracy of fitness is expressed by the Goodness of Fit (GOF). The smaller the GOF, the more accurate is the fitness. Results The 3 IELT distributions are gamma distributions, but the IELT distribution of lifelong PE is another gamma distribution than the IELT distribution of men in the general male population. The Lognormal distribution of the gamma distributions most accurately fits the IELT distribution of 965 men in the general population, with a GOF of 0.057. The Gumbel Max distribution most accurately fits the IELT distribution of 110 men with lifelong PE with a GOF of 0.179. There are more men with lifelong PE ejaculating within 30 and 60 seconds than can be extrapolated from the probability density curve of the Lognormal IELT distribution of men in the general population. Conclusions Men with lifelong PE have a distinct IELT distribution, e.g., a Gumbel Max IELT distribution, that can only be retrieved from the general male population Lognormal IELT distribution when thousands of men would participate in a IELT stopwatch study. The mathematical formula of the Lognormal IELT distribution is useful for epidemiological research of the IELT. PMID:26981594

  15. 20 CFR 604.3 - Able and available requirement-general principles.

    Science.gov (United States)

    2010-04-01

    ... 20 Employees' Benefits 3 2010-04-01 2010-04-01 false Able and available requirement-general principles. 604.3 Section 604.3 Employees' Benefits EMPLOYMENT AND TRAINING ADMINISTRATION, DEPARTMENT OF...—general principles. (a) A State may pay UC only to an individual who is able to work and available...

  16. Using Task Analysis to Incorporate Participation into a Strategy for Effectively Using a Film to Teach the Principle of Mathematical Induction.

    Science.gov (United States)

    Wells, Jay Norman

    The study was concerned with the effect of dual-media instructional instruments (film and programed text) on learning the method of mathematical induction by college freshmen. One group read the programed text at intervening times during the film showing; one group read the text before and after the showing; and a third group viewed the movie…

  17. Arche papers on the mathematics of abstraction

    CERN Document Server

    Cook, Roy T

    2007-01-01

    This volume collects together a number of important papers concerning both the method of abstraction generally and the use of particular abstraction principles to reconstruct central areas of mathematics along logicist lines. Gottlob Frege's original logicist project was, in effect, refuted by Russell's paradox. Crispin Wright has recently revived Frege's enterprise, however, providing a philosophical and technical framework within which a reconstruction of arithmetic is possible. While the Neo-Fregean project has recieved extensive attention and discussion, the present volume is unique in pre

  18. A history of Japanese mathematics

    CERN Document Server

    Smith, David E

    2004-01-01

    One of the first books to show Westerners the nature of Japanese mathematics, this survey highlights the leading features in the development of the wasan, the Japanese system of mathematics. Topics include the use of the soroban, or abacus; the application of sangi, or counting rods, to algebra; the discoveries of the 17th-century sage Seki Kowa; the yenri, or circle principle; the work of 18th-century geometer Ajima Chokuyen; and Wada Nei's contributions to the understanding of hypotrochoids. Unabridged republication of the classic 1914 edition. 74 figures. Index.

  19. Journal of applied mathematics

    National Research Council Canada - National Science Library

    2001-01-01

    "[The] Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics...

  20. The argument of mathematics

    CERN Document Server

    Aberdein, Andrew

    2014-01-01

    This book presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. It offers large array of examples ranging from the history of mathematics to formal proof verification.

  1. Principles of visual attention

    DEFF Research Database (Denmark)

    Bundesen, Claus; Habekost, Thomas

    The nature of attention is one of the oldest and most central problems in psychology. A huge amount of research has been produced on this subject in the last half century, especially on attention in the visual modality, but a general explanation has remained elusive. Many still view attention...... research as a field that is fundamentally fragmented. This book takes a different perspective and presents a unified theory of visual attention: the TVA model. The TVA model explains the many aspects of visual attention by just two mechanisms for selection of information: filtering and pigeonholing....... These mechanisms are described in a set of simple equations, which allow TVA to mathematically model a large number of classical results in the attention literature. The theory explains psychological and neuroscientific findings by the same equations; TVA is a complete theory of visual attention, linking mind...

  2. The Mathematics Value Inventory for General Education Students: Development and Initial Validation

    Science.gov (United States)

    Luttrell, Vickie R.; Callen, Bruce W.; Allen, Charles S.; Wood, Mark D.; Deeds, Donald G.; Richard, David C. S.

    2010-01-01

    The goal of this study was to develop a self-report inventory that measures individual differences in the perceived value of mathematical literacy for general education students. The Mathematics Value Inventory (MVI) is grounded in the Eccles et al. model of achievement-related choices and surveys students' beliefs in four areas: interest, general…

  3. Fine Structure Constant, Domain Walls, and Generalized Uncertainty Principle in the Universe

    Directory of Open Access Journals (Sweden)

    Luigi Tedesco

    2011-01-01

    Full Text Available We study the corrections to the fine structure constant from the generalized uncertainty principle in the spacetime of a domain wall. We also calculate the corrections to the standard formula to the energy of the electron in the hydrogen atom to the ground state, in the case of spacetime of a domain wall and generalized uncertainty principle. The results generalize the cases known in literature.

  4. Mathematical methods of electromagnetic theory

    CERN Document Server

    Friedrichs, Kurt O

    2014-01-01

    This text provides a mathematically precise but intuitive introduction to classical electromagnetic theory and wave propagation, with a brief introduction to special relativity. While written in a distinctive, modern style, Friedrichs manages to convey the physical intuition and 19th century basis of the equations, with an emphasis on conservation laws. Particularly striking features of the book include: (a) a mathematically rigorous derivation of the interaction of electromagnetic waves with matter, (b) a straightforward explanation of how to use variational principles to solve problems in el

  5. Teaching general problem-solving skills is not a substitute for, or a viable addition to, teaching mathematics

    NARCIS (Netherlands)

    Sweller, John; Clark, Richard; Kirschner, Paul A.

    2010-01-01

    Sweller, J., Clark, R., & Kirschner, P. A. (2010). Teaching general problem-solving skills is not a substitute for, or a viable addition to, teaching mathematics. Notices of the American Mathematical Society, 57, 1303-1304.

  6. Teaching general problem-solving skills is not a substitute for, or a viable addition to, teaching mathematics

    NARCIS (Netherlands)

    Sweller, John; Clark, Richard; Kirschner, Paul A.

    2010-01-01

    Sweller, J., Clark, R., & Kirschner, P. A. (2010). Teaching general problem-solving skills is not a substitute for, or a viable addition to, teaching mathematics. Notices of the American Mathematical Society, 57, 1303-1304.

  7. A course of higher mathematics

    CERN Document Server

    Smirnov, Vladimir Ivanovich

    1964-01-01

    International Series of Monographs in Pure and Applied Mathematics, Volume 62: A Course of Higher Mathematics, V: Integration and Functional Analysis focuses on the theory of functions. The book first discusses the Stieltjes integral. Concerns include sets and their powers, Darboux sums, improper Stieltjes integral, jump functions, Helly's theorem, and selection principles. The text then takes a look at set functions and the Lebesgue integral. Operations on sets, measurable sets, properties of closed and open sets, criteria for measurability, and exterior measure and its properties are discuss

  8. The hypothesis of neuronal interconnectivity as a function of brain size – A general organization principle of the human connectome

    Directory of Open Access Journals (Sweden)

    Jürgen eHänggi

    2014-11-01

    Full Text Available Twenty years ago, Ringo and colleagues proposed that maintaining absolute connectivity in larger compared with smaller brains is computationally inefficient due to increased conduction delays in transcallosal information transfer and expensive with respect to the brain mass needed to establish these additional connections. Therefore, they postulated that larger brains are relatively stronger connected intrahemispherically and smaller brains interhemispherically, resulting in stronger functional lateralization in larger brains. We investigated neuronal interconnections in 138 large and small human brains using diffusion tensor imaging-based fiber tractography. We found a significant interaction between brain size and the type of connectivity. Structural intrahemispheric connectivity is stronger in larger brains, whereas interhemispheric connectivity is only marginally increased in larger compared with smaller brains. Although brain size and gender are confounded, this effect is gender-independent. Additionally, the ratio of interhemispheric to intrahemispheric connectivity correlates inversely with brain size. The hypothesis of neuronal interconnectivity as a function of brain size might account for shorter and more symmetrical interhemispheric transfer times in women and for empirical evidence that visual and auditory processing are stronger lateralized in men. The hypothesis additionally shows that differences in interhemispheric and intrahemispheric connectivity are driven by brain size and not by gender, a finding contradicting a recently published study. Our findings are also compatible with the idea that the more asymmetric a region is, the smaller the density of interhemispheric connections, but the larger the density of intrahemispheric connections. The hypothesis represents an organization principle of the human connectome that might be applied also to non-human animals as suggested by our cross-species comparison.

  9. Training the Endoscopy Trainer: From General Principles to Specific Concepts

    Directory of Open Access Journals (Sweden)

    Sylvain Coderre

    2010-01-01

    Full Text Available Endoscopy instruction has progressed a great deal in recent years, evolving from the age-old dictum of ‘see one, do one’ to the current skillful application of sound educational principles. Some of these educational principles are generic and applicable to the teaching of any content at all levels, while others are quite specific to technical skills training. The present review summarizes these important principles under the following headings: creating a learner-centred curriculum; delivering an achievable learning task; and moving from theory to practice. The present article challenges national gastroenterology organizations to embrace these concepts in structured, outcome-based educational programs.

  10. Principles of private law

    OpenAIRE

    Andraško, Richard

    2011-01-01

    Principles of private law The reason of choosing "Principles of private law" for my thesis is that private law is built on untouchable values. For example, basic values like freedom and equality, which are represented by these principles. Many of them are indispensable in the relation of functionality of the whole system of law. Most of them have Roman law origin. The purpose of my thesis is to describe and summarize the main principles of private law that mostly appear in Czech law, especial...

  11. Philosophy of mathematics

    CERN Document Server

    Gabbay, Dov M; Woods, John

    2009-01-01

    One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mat

  12. Tracing organizing principles: Learning from the history of systems biology

    DEFF Research Database (Denmark)

    Green, Sara; Wolkenhauer, Olaf

    2014-01-01

    With the emergence of systems biology, the identification of organizing principles is being highlighted as a key research aim. Researchers attempt to “reverse engineer” the functional organization of biological systems using methodologies from mathematics, engineering and computer science while...... taking advantage of data produced by new experimental techniques. While systems biology is a relatively new approach, the quest for general principles of biological organization dates back to systems theoretic approaches in early and mid-twentieth century. The aim of this paper is to draw...... on this historical background in order to increase the understanding of the motivation behind the search for general principles and to clarify different epistemic aims within systems biology. We pinpoint key aspects of earlier approaches that also underlie the current practice. These are i) the focus on relational...

  13. The nature of mathematics

    CERN Document Server

    Jourdain, Philip E B

    2007-01-01

    Anyone with an interest in mathematics will welcome the republication of this little volume by a remarkable mathematician who was also a logician, a philosopher, and an occasional writer of fiction and poetry. Originally published in 1913, and later included in the acclaimed anthology The World of Mathematics, Jourdain's survey shows how and why the methods of mathematics were developed, traces the development of mathematical science from the earliest to modern times, and chronicles the application of mathematics to natural science.Starting with the ancient Egyptians and Greeks, the author p

  14. Sufficient condition for the openness of a many-electron quantum system from the violation of a generalized Pauli exclusion principle

    Science.gov (United States)

    Chakraborty, Romit; Mazziotti, David A.

    2015-01-01

    Information about the interaction of a many-electron quantum system with its environment, we show, is encoded within the one-electron density matrix (1-RDM). While the 1-RDM from an ensemble many-electron quantum system must obey the Pauli exclusion principle, the 1-RDM must obey additional constraints known as generalized Pauli conditions when it corresponds to a closed system describable by a single wave function. By examining the 1-RDM's violation of these generalized Pauli conditions, we obtain a sufficient condition at the level of a single electron for a many-electron quantum system's openness. In an application to exciton dynamics in photosynthetic light harvesting we show that the interaction of the system with the environment (quantum noise) relaxes significant constraints imposed on the exciton dynamics by the generalized Pauli conditions. This relaxation provides a geometric (kinematic) interpretation for the role of noise in enhancing exciton transport in quantum systems.

  15. String theory, scale relativity and the generalized uncertainty principle

    CERN Document Server

    Castro, C

    1995-01-01

    An extension/ modification of the Stringy Heisenberg Uncertainty principle is derived within the framework of the theory of Special Scale-Relativity proposed by Nottale. Based on the fractal structure of two dimensional Quantum Gravity which has attracted considerable interest recently we conjecture that the underlying fundamental principle behind String theory should be based on an extension of Scale Relativity where both dynamics as well as scales are incorporated in the same footing.

  16. The views of secondary school and pre-service mathematics teachers about the seven principles for good practice in education [İlköğretim matematik öğretmenleri ve öğretmen adaylarının iyi bir eğitim ortamı için yedi ilke hakkındaki görüşleri

    Directory of Open Access Journals (Sweden)

    Seda OKUMUŞ

    2013-10-01

    Full Text Available This study focuses on the views and practices of both secondary school and pre-service mathematics teachers in Turkey regarding the seven principles for good practice in education. Its sample consisted of two groups; one group consisted of 79 pre-service mathematics teachers in either their second or fourth years of undergraduate study at university education departments, while the other consisted of seven mathematics teachers currently working at secondary schools. This study implemented a survey to determine the views and practices of the sample regarding the seven principles for good practice in education created by Chickering and Gamson (1987. For most of the items relating to all of the principles, it was determined that current mathematics teachers have more positive views than pre-service mathematics teachers regarding the effectiveness of the seven principles. In terms of gender, it was determined that females have more positive views of the principles than males.

  17. Fundamental concepts of mathematics

    CERN Document Server

    Goodstein, R L

    Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics. The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text. Mathematics teachers and people

  18. A mathematical model of symmetry based on mathematical definition

    Institute of Scientific and Technical Information of China (English)

    2002-01-01

    Tolerance is imperative for seamless integration of CAD/CAM(Computer Aided Disign/Computer Aided Manufacture) which is just a text attribute and has no semantics in present CAD systems. There are many tolerance types, the relations between which are very complicated. In addition, the different principles of tolerance make study of tolerance difficult; and there may be various meanings or interpretation for the same type of tolerance because of the literal definition. In this work, latest unambiguous mathematical definition was applied to study, explain and clarify: (1) the formation and representation of tolerance zone, and (2) the formation and representation of variational elements; after which, the mathematical models of symmetry of different tolerance principles and different interpretations were derived. An example is given to illustrate the application of these models in tolerance analysis.

  19. A mathematical model of symmetry based on mathematical definition

    Institute of Scientific and Technical Information of China (English)

    刘玉生; 杨将新; 吴昭同; 高曙明

    2002-01-01

    Tolerance is imperative for seamless integration of CAD/CAM(Computer Aided Disignd/Computer Aided Manufacture) which is just a text attribute and has no semantics in present CAD systems. There are many tolerance types, the relations between which are very complicated. In addition, the different principles of tolerance make study of tolerance difficult; and there may be various meanings or interpretation for the same type of tolerance beeanse of the literal definition. In this work, latest unambiguous mathematical definition was applied to study, explain and clarify: ( 1 ) the formation and representation of tolerance zone, and (2) the formation and representation of variational elements ; after which, the mathematical models of syrmmetry of different tolerance principles and different interpretations were derived. An example is given to illustrate the application of these models in tolerance analysis.

  20. Principles and Guidelines for Equitable Mathematics Teaching Practices and Materials for English Language Learners

    Science.gov (United States)

    Moschkovich, Judit

    2013-01-01

    In this essay, the author describes principles for equitable mathematics teaching practices for English Language Learners (ELLs) and outlines guidelines for materials to support such practices. Although research cannot provide a recipe for equitable teaching practices for ELLs, teachers, educators, and administrators can use this set of…

  1. 准静态电磁热弹性体余能原理和广义变分原理%The complementary energy principle and generalized variational principles of quasi-static electro-magneto-thermo-elasticity

    Institute of Scientific and Technical Information of China (English)

    宋海燕; 梁立孚; 周振功

    2011-01-01

    具有多场耦合性质的电磁热弹性体的基本方程很复杂,即使考虑最简单的情况也难求其解析解,所以需采用近似计算方法.变分原理是有限元法等近似计算方法的理论基础.按照广义力和广义位移之间的对应关系,将基本方程乘上相应的虚量,积分代数相加,建立了准静态电磁热弹性体的余能原理和第一类H-R型广义变分原理,为电磁热弹多场问题的近似计算提供理论依据.驻值条件的推导结果表明,驻值条件和先决条件一起构成了适定的微分方程组,加上温度场方程和补充条件则构成了电磁热弹性体全部的微分方程,从而验证了这2个变分原理的正确性.%The basic equations of coupled electro-magneto-thermo-elasticity are very complicated. Therefore, it is hard to obtain analytical solutions, even in the simplest conditions, so approximate computational methods are used. However, variational principles are the foundation of the finite element method and other approximate computational methods. According to the corresponding relations between generalized forces and generalized displacements, basic equations were multiplied by corresponding virtual quantities, then integrated with volume and area and added algebraically. Complementary energy principles and the first H-R generalized variational principles of quasi-static electro-magneto-thermo-elasticity were established, offering theoretical support for approximate calculation of multi-physics field problems of electro-magneto-thermo-elasticity. Results of stationary value conditions show that the suitable differential equations are composed of stationary value conditions and various pre-conditions. All differential equations are composed of these suitable differential equations, including temperature field equations and supplementary conditions. Thus the validity of these two variational principles is verified.

  2. 无刷双馈电机工作原理和数学模型的研究%Research on Operational Principle and Mathematical Model of Brushless Doubly-Fed Machines

    Institute of Scientific and Technical Information of China (English)

    焦卫星; 程小华

    2012-01-01

    As a kind of new governing alternator, brushless doubly-fed machines have good prospects for de-velopment in the field of wind power generation and water power generation. This paper described the opera-tional principle and analyzed two kinds of mathematical models of BDFM which include three-axis static coor-dinate mathematical model and d-q coordinate mathematical model. Based on d-q coordinate mathematical model, dynamic simulation model in Matlab/Simulink of BDFM was set up. The mathematical model was proved to be correct through a series of simulation. It provided the foundation for future research on BDFM.%无刷双馈电机作为一种新型的交流调速电机,在风力发电和水力发电中都有很好的发展前景.本文介绍了该电机的工作原理,分析了该电机的两种数学模型-三相静止坐标系中的数学模型和d-q坐标系中的数学模型,并在d-q坐标系数学模型基础上搭建BDFM的Matlab/Simulink动态仿真模型,通过一系列的仿真验证了数学模型的正确性,为以后对该种电机进行深入的研究奠定了基础.

  3. A hypothetical history of Old Babylonian mathematics

    DEFF Research Database (Denmark)

    Høyrup, Jens

    2012-01-01

    Most general standard histories of mathematics speak indiscriminately of “Babylonian” mathematics, presenting together the mathematics of the Old Babylonian and the Seleucid period (respectively 2000–1600 and 300–100 BCE) and neglecting the rest. Specialist literature has always known...

  4. The Principle of the Fermionic Projector, Appendices

    OpenAIRE

    2002-01-01

    The "principle of the fermionic projector" provides a new mathematical framework for the formulation of physical theories and is a promising approach for physics beyond the standard model. The book begins with a brief review of relativity, relativistic quantum mechanics and classical gauge theories, with the emphasis on the basic physical concepts and the mathematical foundations. The external field problem and Klein's paradox are discussed and then resolved by introducing the so-called fermi...

  5. Magnetic diagnostics: general principles and the problem of reconstruction of plasma current and pressure profiles in toroidal systems

    Energy Technology Data Exchange (ETDEWEB)

    Pustovitov, V.D.

    2000-04-01

    The restrictions of the magnetic diagnostics are discussed. Being related to the integral nature of the measurable quantities, they follow from the fundamental laws of electromagnetism. A series of particular examples demonstrating the strength of these restrictions is given and analyzed. A general rule is emphasized that the information obtained from external magnetic measurements is obviously insufficient for the reliable evaluation of plasma current and pressure profiles in tokamaks or in stellarators. The underlying reason is that outside the plasma the own field of the equilibrium plasma currents is determined by the boundary conditions on the plasma surface only. (author)

  6. Pregnancy in women with renal disease. Part I: general principles.

    Science.gov (United States)

    Vidaeff, Alex C; Yeomans, Edward R; Ramin, Susan M

    2008-08-01

    The purpose of this review is to improve the basis upon which advice on pregnancy is given to women with renal disease and to address issues of obstetric management by drawing upon the accumulated world experience. To ensure the proper rapport between the respect for patient's autonomy and the ethical principle of beneficence, the review attempts to impart up-to-date, evidence-based information on the predictable outcomes and hazards of pregnancy in women with chronic renal disease. The physiology of pregnancy from the perspective of the affected kidney will be discussed as well as the principal predictors of maternal and fetal outcomes and general recommendations of management. The available evidence supports the implication that the degree of renal function impairment is the major determinant for pregnancy outcome. In addition, the presence of hypertension further compounds the risks. On the contrary, the degree of proteinuria does not demonstrate a linear correlation with obstetric outcomes. Management and outcome of pregnancies occurring in women on dialysis and after renal transplant are also discussed. Although the outcome of pregnancies under chronic dialysis has markedly improved in the past decade, the chances of achieving a viable pregnancy are much higher after transplantation. But even in renal transplant recipients, the rate of maternal and fetal complications remains high, in addition to concerns regarding possible adverse effects of immunosuppressive drugs on the developing embryo and fetus.

  7. Methods of modern mathematical physics

    CERN Document Server

    Reed, Michael

    1980-01-01

    This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations.

  8. A Taxonomy of Software for Mathematics Instruction

    Science.gov (United States)

    Kurz, Terri L.; Middleton, James A.; Yanik, H. Bahadir

    2005-01-01

    The potential to use mathematics software to enhance student thinking and development is discussed and a taxonomy of software categories is outlined in this paper. Briefly, there are five categories of tool-based mathematics software that can be used fruitfully in a mathematics curriculum: (a) review and practice, (b) general, (c) specific, (d)…

  9. NATURAL-SCIENCE EDUCATION: SCIENTIFIC AND RELIGIOUS KNOWLEDGE CORRELATION IN THE VIEW OF A SYMMETRY PRINCIPLE. Ch. 2. Examples of religious content selection in general natural science courses based on the principle of symmetry

    Directory of Open Access Journals (Sweden)

    Vitalii L. Gapontsev

    2015-01-01

    Full Text Available This work is aimed at demonstrating the possibility of the inclusion of religious elements contained in Holy Scripture and Holy Tradition in the general natural scientific courses based on the principle of symmetry.The method used in the work is confined to a comparison of perceptions formed in modern science and is closely related to the forms of symmetry and invariance principles (symmetry principles and, in particular, space-time concepts with those of the Book of Genesis. Such a comparison reveals the following unexpected feature: most profound presentation of modern natural sciences is closer to the provisions of Holy Scripture and Holy Tradition than a look at the same things existed in the earlier stages of the development of science. This allows the authors to formulate the hypothesis that in the process of development of scientific knowledge, it gradually becomes closer to the religious worldview. This process is slow, so its results have become visible only within 3500 years after the establishment of the truth of the Old Testament and 2000 years after the New Testament.Results and scientific novelty. The «firmament of heaven» and «water under the firmament» concepts are explained in the terms of the model of the Kleinert – Planck World crystal and understanding of the properties of matter and fields which are related with the conservation law of the wave-function parity. The relational nature of phenomena such as «life» and «death» in the course of universe evolution as a general trend is considered as the process of lowering the degree of symmetry of matter after the Big Bang wherein the Universe was created. The concepts used by E. Wigner for the description of the structure of the scientific knowledge are analysed. Its structure is determined by shapes and specific principles of the symmetry of exact sciences. The analysis of the concept «natural phenomenon» has shown that they are different in the degree of space

  10. Great Principles of Computing

    OpenAIRE

    Denning, Peter J.

    2008-01-01

    The Great Principles of Computing is a framework for understanding computing as a field of science. The website ...April 2008 (Rev. 8/31/08) The Great Principles of Computing is a framework for understanding computing as a field of science.

  11. Students' Misunderstandings about the Energy Conservation Principle: A General View to Studies in Literature

    Science.gov (United States)

    Tatar, Erdal; Oktay, Munir

    2007-01-01

    This paper serves to review previously reported studies on students' misunderstandings about the energy conservation principle (the first law of thermodynamics). Generally, studies in literature highlighted students' misunderstandings about the energy conservation principle stem from preliminaries about energy concept in daily life. Since prior…

  12. Principles of snow hydrology

    National Research Council Canada - National Science Library

    DeWalle, David R; Rango, Albert

    2008-01-01

    ... Hydrology describes the factors that control the accumulation, melting, and runoff of water from seasonal snowpacks over the surface of the earth. The book addresses not only the basic principles governing snow in the hydrologic cycle, but also the latest applications of remote sensing, and principles applicable to modelling streamflow from snowmelt across lar...

  13. Guiding Principles for Implementing School-Based Management Programs: An Online Toolkit Providing General Principles That Can Be Applied to the Implementation of School-Based Management Reforms

    Science.gov (United States)

    Patrinos, Harry Anthony; Fasih, Tazeen; Barrera, Felipe; Garcia-Moreno, Vicente A.; Bentaouet-Kattan, Raja; Baksh, Shaista; Wickramasekera, Inosha

    2007-01-01

    School-based management (SBM) has become a very popular movement over the past decade. The World Bank Education Team's SBM work program emerged out of a need to define the concept more clearly, review the evidence, support impact assessments in various countries, and provide some initial feedback to teams preparing education projects. During the…

  14. Generalized Huygens principle with pulsed-beam wavelets

    Energy Technology Data Exchange (ETDEWEB)

    Hansen, Thorkild [Seknion Inc., Boston, MA (United States); Kaiser, Gerald [Signals and Waves, Austin, TX (United States)], E-mail: thorkild.hansen@att.net, E-mail: kaiser@wavelets.com

    2009-11-27

    Huygens' geometric construction explaining wave motion has a well-known problem with unphysical back-propagation due to the spherical nature of the secondary wavelets. We solve this by analytically continuing the surface of integration. If the surface is a sphere S{sub R} of radius R, this is done by complexifying R to {alpha} = R + ia. The resulting complex sphere S{sub {alpha}} is shown to be equivalent to the real tangent disk bundle with base S{sub R} consisting of all disks with radius a tangent to S{sub R}. Huygens' secondary source points are thus replaced by disks, and his secondary wavelets by well-focused pulsed beams propagating outward. This solves the back-propagation problem. The generalized Huygens principle is a completeness relation for these pulsed-beam wavelets enabling a pulsed-beam representation of all radiation fields. Furthermore, this yields a natural and extremely efficient way to compute radiation fields numerically because all pulsed beams missing a given observer can be ignored with minimal error. Increasing the disk radius a sharpens the focus of the pulsed beams, which in turn raises the compression ratio of the representation.

  15. Gyroscope precession in special and general relativity from basic principles

    Science.gov (United States)

    Jonsson, Rickard M.

    2007-05-01

    In special relativity a gyroscope that is suspended in a torque-free manner will precess as it is moved along a curved path relative to an inertial frame S. We explain this effect, which is known as Thomas precession, by considering a real grid that moves along with the gyroscope, and that by definition is not rotating as observed from its own momentary inertial rest frame. From the basic properties of the Lorentz transformation we deduce how the form and rotation of the grid (and hence the gyroscope) will evolve relative to S. As an intermediate step we consider how the grid would appear if it were not length contracted along the direction of motion. We show that the uncontracted grid obeys a simple law of rotation. This law simplifies the analysis of spin precession compared to more traditional approaches based on Fermi transport. We also consider gyroscope precession relative to an accelerated reference frame and show that there are extra precession effects that can be explained in a way analogous to the Thomas precession. Although fully relativistically correct, the entire analysis is carried out using three-vectors. By using the equivalence principle the formalism can also be applied to static spacetimes in general relativity. As an example, we calculate the precession of a gyroscope orbiting a static black hole.

  16. A Z{sub 3} generalization of Pauli's principle, quark algebra and the Lorentz invariance

    Energy Technology Data Exchange (ETDEWEB)

    Kerner, Richard [Laboratoire de Physique Theorique de la Matiere Condensee, UMR CNRS 7600, Universite Pierre et Marie Curie, Tour 13-23, 5-eme etage, Bo Latin-Small-Letter-Dotless-I -carette 121, 4 Place Jussieu, 75005 Paris (France)

    2012-09-24

    The fundamental difference between bosons and fermions is that they obey two alternative representations of the Z{sub 2} group, resulting in symmetric or anti-symmetric binary commutation relations. Our aim is to explore possibilities offered by ternary Z{sub 3} generalization commutation relations. This leads to cubic and ternary algebras which are a direct generalization of usual commutation relations, with Z{sub 3}-grading replacing the usual Z{sub 2}-grading. Properties and structure of such algebras are discussed, with special interest in a low-dimensional one, with two generators. Invariant cubic forms on such algebras are introduced, and it is shown how the SL(2,C) group arises naturally as the symmetry group preserving these forms. In the case of lowest dimension, with only two generators, it is shown how the cubic combinations of elements of the same Z{sub 3} grade behave like Lorentz spinors, while binary products of elements of this algebra with an element of the conjugate algebra behave like Lorentz vectors. The wave equation generalizing the Dirac operator to the Z{sub 3}-graded case is introduced, whose diagonalization leads to a third-order equation. The solutions of this equation cannot propagate because their exponents always contain non-oscillating real damping factor. We show how certain cubic products can propagate nevertheless. The model suggests the origin of the color SU(3) symmetry obeyed by quark states.

  17. Basic principle of superconductivity

    OpenAIRE

    De Cao, Tian

    2007-01-01

    The basic principle of superconductivity is suggested in this paper. There have been two vital wrong suggestions on the basic principle, one is the relation between superconductivity and the Bose-Einstein condensation (BEC), and another is the relation between superconductivity and pseudogap.

  18. Semiclassical corrections to black hole entropy and the generalized uncertainty principle

    Energy Technology Data Exchange (ETDEWEB)

    Bargueño, Pedro, E-mail: p.bargueno@uniandes.edu.co [Departamento de Física, Universidad de los Andes, Apartado Aéreo 4976, Bogotá, Distrito Capital (Colombia); Vagenas, Elias C., E-mail: elias.vagenas@ku.edu.kw [Theoretical Physics Group, Department of Physics, Kuwait University, P.O. Box 5969, Safat 13060 (Kuwait)

    2015-03-06

    In this paper, employing the path integral method in the framework of a canonical description of a Schwarzschild black hole, we obtain the corrected inverse temperature and entropy of the black hole. The corrections are those coming from the quantum effects as well as from the Generalized Uncertainty Principle effects. Furthermore, an equivalence between the polymer quantization and the Generalized Uncertainty Principle description is shown provided the parameters characterizing these two descriptions are proportional.

  19. 容斥原理的拓展及其应用(Ⅱ)%A generalization of the principle of inclusion-exclusion and its application(Ⅱ)

    Institute of Scientific and Technical Information of China (English)

    唐善刚

    2011-01-01

    将容斥原理拓展到赋权有限集上具带权表达式的一般化情形,得到了具带权表达式的广义容斥原理,并给出广义容斥原理在组合计数中的具体应用。%The principle of inclusion-exclusion is extended to the general restricted conditions on a weighted finite set,and a weighted generalization of the principle of inclusion-exclusion is given.Some applications of the generalized principle of inclusion-exclusion are given on combinatorial enumeration.

  20. Predicting Children's Reading and Mathematics Achievement from Early Quantitative Knowledge and Domain-General Cognitive Abilities.

    Science.gov (United States)

    Chu, Felicia W; vanMarle, Kristy; Geary, David C

    2016-01-01

    One hundred children (44 boys) participated in a 3-year longitudinal study of the development of basic quantitative competencies and the relation between these competencies and later mathematics and reading achievement. The children's preliteracy knowledge, intelligence, executive functions, and parental educational background were also assessed. The quantitative tasks assessed a broad range of symbolic and nonsymbolic knowledge and were administered four times across 2 years of preschool. Mathematics achievement was assessed at the end of each of 2 years of preschool, and mathematics and word reading achievement were assessed at the end of kindergarten. Our goals were to determine how domain-general abilities contribute to growth in children's quantitative knowledge and to determine how domain-general and domain-specific abilities contribute to children's preschool mathematics achievement and kindergarten mathematics and reading achievement. We first identified four core quantitative competencies (e.g., knowledge of the cardinal value of number words) that predict later mathematics achievement. The domain-general abilities were then used to predict growth in these competencies across 2 years of preschool, and the combination of domain-general abilities, preliteracy skills, and core quantitative competencies were used to predict mathematics achievement across preschool and mathematics and word reading achievement at the end of kindergarten. Both intelligence and executive functions predicted growth in the four quantitative competencies, especially across the first year of preschool. A combination of domain-general and domain-specific competencies predicted preschoolers' mathematics achievement, with a trend for domain-specific skills to be more strongly related to achievement at the beginning of preschool than at the end of preschool. Preschool preliteracy skills, sensitivity to the relative quantities of collections of objects, and cardinal knowledge predicted

  1. 50 visions of mathematics

    CERN Document Server

    O'Briain, Dara

    2014-01-01

    Relax: no one understands technical mathematics without lengthy training but we all have an intuitive grasp of the ideas behind the symbols. To celebrate the 50th anniversary of the founding of the Institute of Mathematics and its Applications (IMA), this book is designed to showcase the beauty of mathematics - including images inspired by mathematical problems - together with its unreasonable effectiveness and applicability, without frying your brain. The book is a collection of 50 original essays contributed by a wide variety of authors. It contains articles by some of the best expositors of

  2. Handbook of mathematics

    CERN Document Server

    Kuipers, L

    1969-01-01

    International Series of Monographs in Pure and Applied Mathematics, Volume 99: Handbook of Mathematics provides the fundamental mathematical knowledge needed for scientific and technological research. The book starts with the history of mathematics and the number systems. The text then progresses to discussions of linear algebra and analytical geometry including polar theories of conic sections and quadratic surfaces. The book then explains differential and integral calculus, covering topics, such as algebra of limits, the concept of continuity, the theorem of continuous functions (with examp

  3. High school mathematics teachers' perspectives on the purposes of mathematical proof in school mathematics

    Science.gov (United States)

    Dickerson, David S.; Doerr, Helen M.

    2014-12-01

    Proof serves many purposes in mathematics. In this qualitative study of 17 high school mathematics teachers, we found that these teachers perceived that two of the most important purposes for proof in school mathematics were (a) to enhance students' mathematical understanding and (b) to develop generalized thinking skills that were transferable to other fields of endeavor. We found teachers were divided on the characteristics (or features) of proofs that would serve these purposes. Teachers with less experience tended to believe that proofs in the high school should adhere to strict standards of language and reasoning while teachers with more experience tended to believe that proofs based on concrete or visual features were well suited for high school mathematics. This study has implications for teacher preparation because it appears that there is a wide variation in how teachers think about proof. It seems likely that students would experience proof very differently merely because they were seated in different classrooms.

  4. On the characterization of dynamic supramolecular systems: a general mathematical association model for linear supramolecular copolymers and application on a complex two-component hydrogen-bonding system.

    Science.gov (United States)

    Odille, Fabrice G J; Jónsson, Stefán; Stjernqvist, Susann; Rydén, Tobias; Wärnmark, Kenneth

    2007-01-01

    A general mathematical model for the characterization of the dynamic (kinetically labile) association of supramolecular assemblies in solution is presented. It is an extension of the equal K (EK) model by the stringent use of linear algebra to allow for the simultaneous presence of an unlimited number of different units in the resulting assemblies. It allows for the analysis of highly complex dynamic equilibrium systems in solution, including both supramolecular homo- and copolymers without the recourse to extensive approximations, in a field in which other analytical methods are difficult. The derived mathematical methodology makes it possible to analyze dynamic systems such as supramolecular copolymers regarding for instance the degree of polymerization, the distribution of a given monomer in different copolymers as well as its position in an aggregate. It is to date the only general means to characterize weak supramolecular systems. The model was fitted to NMR dilution titration data by using the program Matlab, and a detailed algorithm for the optimization of the different parameters has been developed. The methodology is applied to a case study, a hydrogen-bonded supramolecular system, salen 4+porphyrin 5. The system is formally a two-component system but in reality a three-component system. This results in a complex dynamic system in which all monomers are associated to each other by hydrogen bonding with different association constants, resulting in homo- and copolymers 4n5m as well as cyclic structures 6 and 7, in addition to free 4 and 5. The system was analyzed by extensive NMR dilution titrations at variable temperatures. All chemical shifts observed at different temperatures were used in the fitting to obtain the DeltaH degrees and DeltaS degrees values producing the best global fit. From the derived general mathematical expressions, system 4+5 could be characterized with respect to above-mentioned parameters.

  5. High-Order Hamilton's Principle and the Hamilton's Principle of High-Order Lagrangian Function

    Institute of Scientific and Technical Information of China (English)

    ZHANG Ming-Jiang; ZHAO Hong-Xia; FANG Jian-Hui; MA Shan-Jun; LU Kai

    2008-01-01

    In this paper, based on the theorem of the high-order velocity energy, integration and variation principle, the high-order Hamilton's principle of general holonomic systems is given. Then, three-order Lagrangian equations and four-order Lagrangian equations are obtained from the high-order Hamilton's principle. Finally, the Hamilton's principle of high-order Lagrangian function is given.

  6. General Rule for Constraint from the Action Principle

    CERN Document Server

    Steiner, Roee

    2015-01-01

    We construct models where initial and boundary conditions can be found from the fundamental rules of physics, without the need to assume them, they will be derived from the action principle. Those constraints are established from physical view point, and it is not in the form of Lagrange multipliers. We show some examples from the past and some new examples which can be useful, where constraint can be obtained from the action principle. Those actions represent physical models. We show that it is possible to use our rule to get those constraints directly.

  7. Developing principles of growth

    DEFF Research Database (Denmark)

    Neergaard, Helle; Fleck, Emma

    of the principles of growth among women-owned firms. Using an in-depth case study methodology, data was collected from women-owned firms in Denmark and Ireland, as these countries are similar in contextual terms, e.g. population and business composition, dominated by micro, small and medium-sized enterprises....... Extending on principles put forward in effectuation theory, we propose that women grow their firms according to five principles which enable women’s enterprises to survive in the face of crises such as the current financial world crisis....

  8. Children's Understanding of the Addition/Subtraction Complement Principle

    Science.gov (United States)

    Torbeyns, Joke; Peters, Greet; De Smedt, Bert; Ghesquière, Pol; Verschaffel, Lieven

    2016-01-01

    Background: In the last decades, children's understanding of mathematical principles has become an important research topic. Different from the commutativity and inversion principles, only few studies have focused on children's understanding of the addition/subtraction complement principle (if a - b = c, then c + b = a), mainly relying on verbal…

  9. PRINCIPLES OF ANIMAL BREEDING

    OpenAIRE

    2014-01-01

    University textbook Principles of Animal Breeding is intended for students of agriculture and veterinary medicine. The material is the adapted curricula of undergraduate and graduate level studies in the framework of which the modules Principles of animal breeding as well as Basics of genetics and selection of animals attended are listened. The textbook contains 14 chapters and a glossary of terms. Its concept enables combining fundamental and modern knowledge in the ...

  10. National Science Foundation Assistant Director for Mathematics and Physical Sciences Tony Chan (USA) visiting LHCb experiment on 23rd May 2007 with Spokesperson T. Nakada, Advisor to CERN Director-General J. Ellis and I. Belyaev of Syracuse

    CERN Multimedia

    Maximilien Brice

    2007-01-01

    National Science Foundation Assistant Director for Mathematics and Physical Sciences Tony Chan (USA) visiting LHCb experiment on 23rd May 2007 with Spokesperson T. Nakada, Advisor to CERN Director-General J. Ellis and I. Belyaev of Syracuse

  11. 14 CFR Sec. 2-1 - Generally accepted accounting principles.

    Science.gov (United States)

    2010-01-01

    ... (AVIATION PROCEEDINGS) ECONOMIC REGULATIONS UNIFORM SYSTEM OF ACCOUNTS AND REPORTS FOR LARGE CERTIFICATED... Standards Board, newly issued GAAP pronouncements until and unless the Director, Office of Airline... principles may be addressed to Director, Office of Airline Information, K-25, U.S. Department of...

  12. 民法总则如何反映民事权利?%How General Principles of Civil Law Reflects Civil Right?

    Institute of Scientific and Technical Information of China (English)

    崔建远

    2015-01-01

    Although General Principles of Civil Law is not suitable to adopt a linear listing of regula⁃tions of property ownership right, rights related to the former such as property right, creditor ’s rights, intellectual property, right of inheritance, it can not transfer completely all the civil right regu⁃lation to the compilation of each individual principle but sets up a general regulation of civil right, whose regulation range should be restricted by the system and the content of each chapter, by the content regulated by the civil code and by the idea and guiding thought pursued by the civil code. Civil code should not only require the establishment and implementation of civil right not be against the public order and good custom, follow principle of being honest and trustworthy, but also set up regulations about the composition, types and efficacy of expectation right and debate right. Even if General Principles of Civil Law or civil code can not include all the civil rights, they cannot advo⁃cate blindly“Everything is permitted, which is not forbidden by law”.%民法总则虽然不宜再沿用民法通则一字排开地规定财产所有权、与财产所有权有关的财产权、债权、知识产权、继承权等类型,但并不可将民事权利的规范完全交给民法典的各分则编,而是应当设置民事权利的一般规则,其规范范围受制于民法总则的体系及其章节内容,受制于民法典所规制的内容,受制于民法典奉行的理念、指导思想。民法总则不但应规定民事权利的设立及行使不得违背公序良俗原则,应当遵循诚实信用等原则,而且应就期待权、抗辩权的构成、类型、效力等内容设置必要的规范。即使民法总则乃至民法典无法将所有的民事权利规范收拢在怀,也不可盲目地高倡“法不禁止即自由”。

  13. Spin-Spin Interactions in Gauge Theory of Gravity, Violation of Weak Equivalence Principle and New Classical Test of General Relativity

    Institute of Scientific and Technical Information of China (English)

    WU Li-Li; WU Ning; HU Juan-Mei; WU Feng-Min

    2008-01-01

    For a long time, it has been generally believed that spin-spin interactions can only exist in a theory where Lorentz symmetry is gauged, and a theory with spin-spin interactions is not perturbatively renormalizable. But this is not true. By studying the motion of a spinning particle in gravitational field, it is found that there exist spin-spin interactions in gauge theory of gravity. Its mechanism is that a spinning particle will generate gravitomagnetic field in space-time, and this gravitomagnetic field will interact with the spin of another particle, which will cause spin-spin interactions. So, spin-spin interactions are transmitted by gravitational field. The form of spin-spin interactions in post Newtonian approximations is deduced. This result can also be deduced from the Papapetrou equation. This kind of interaction will not affect the renormalizability of the theory. The spin-spin interactions will violate the weak equivalence principle, and the violation effects are detectable. An experiment is proposed to detect the effects of the violation of the weak equivalence principle.

  14. History of Mathematics

    DEFF Research Database (Denmark)

    Hansen, Vagn Lundsgaard; Gray, Jeremy

    Volume 1 in Theme on "History of Mathematics", in "Encyclopedia of Life Support Systems (EOLSS), developed under the auspices of the UNESCO.......Volume 1 in Theme on "History of Mathematics", in "Encyclopedia of Life Support Systems (EOLSS), developed under the auspices of the UNESCO....

  15. History of Mathematics

    DEFF Research Database (Denmark)

    Hansen, Vagn Lundsgaard; Gray, Jeremy

    Volume 1 in Theme on "History of Mathematics", in "Encyclopedia of Life Support Systems (EOLSS), developed under the auspices of the UNESCO.......Volume 1 in Theme on "History of Mathematics", in "Encyclopedia of Life Support Systems (EOLSS), developed under the auspices of the UNESCO....

  16. The Language of Mathematics.

    Science.gov (United States)

    Oldfield, Christine

    1996-01-01

    Describes aspects of learning the language of mathematics including vocabulary and grammar, the origins of the vocabulary, the pronunciation problem, and translation of English phrases and sentences into mathematical language accompanied by conceptual understanding of the process being described. Gives suggestions for teachers in class and…

  17. Mathematics for Teaching: A Form of Applied Mathematics

    Science.gov (United States)

    Stylianides, Gabriel J.; Stylianides, Andreas J.

    2010-01-01

    In this article we elaborate a conceptualisation of "mathematics for teaching" as a form of applied mathematics (using Bass's idea of characterising mathematics education as a form of applied mathematics) and we examine implications of this conceptualisation for the mathematical preparation of teachers. Specifically, we focus on issues of design…

  18. A synthesis of mathematical and cognitive performances of students with mathematics learning disabilities.

    Science.gov (United States)

    Shin, Mikyung; Bryant, Diane Pedrotty

    2015-01-01

    The purpose of this study was to synthesize the findings from 23 articles that compared the mathematical and cognitive performances of students with mathematics learning disabilities (LD) to (a) students with LD in mathematics and reading, (b) age- or grade-matched students with no LD, and (c) mathematical-ability-matched younger students with no LD. Overall results revealed that students with mathematics LD exhibited higher word problem-solving abilities and no significant group differences on working memory, long-term memory, and metacognition measures compared to students with LD in mathematics and reading. Findings also revealed students with mathematics LD demonstrated significantly lower performance compared to age- or grade-matched students with no LD on both mathematical and cognitive measures. Comparison between students with mathematics LD and younger students with no LD revealed mixed outcomes on mathematical measures and generally no significant group differences on cognitive measures. © Hammill Institute on Disabilities 2013.

  19. The moment of proof mathematical epiphanies

    CERN Document Server

    Benson, Donald C

    2000-01-01

    When Archimedes, while bathing, suddenly hit upon the principle of buoyancy, he ran wildly through the streets of Syracuse, stark naked, crying "eureka!" In The Moment of Proof, Donald Benson attempts to convey to general readers the feeling of eureka--the joy of discovery--that mathematicians feel when they first encounter an elegant proof. This is not an introduction to mathematics so much as an introduction to the pleasures of mathematical thinking. And indeed the delights of this book are many and varied. The book is packed with intriguing conundrums--Loyd''s Fifteen Puzzle, the Petersburg Paradox, the Chaos Game, the Monty Hall Problem, the Prisoners'' Dilemma--as well as many mathematical curiosities. We learn how to perform the arithmetical proof called "casting out nines" and are introduced to Russian peasant multiplication, a bizarre way to multiply numbers that actually works. The book shows us how to calculate the number of ways a chef can combine ten or fewer spices to flavor his soup (1,024) and ...

  20. Heterogeneity-mediated cellular adaptation and its trade-off: searching for the general principles of diseases.

    Science.gov (United States)

    Heng, Henry H

    2017-02-01

    Big-data-omics have promised the success of precision medicine. However, most common diseases belong to adaptive systems where the precision is all but difficult to achieve. In this commentary, I propose a heterogeneity-mediated cellular adaptive model to search for the general model of diseases, which also illustrates why in most non-infectious non-Mendelian diseases the involvement of cellular evolution is less predictable when gene profiles are used. This synthesis is based on the following new observations/concepts: 1) the gene only codes "parts inheritance" while the genome codes "system inheritance" or the entire blueprint; 2) the nature of somatic genetic coding is fuzzy rather than precise, and genetic alterations are not just the results of genetic error but are in fact generated from internal adaptive mechanisms in response to environmental dynamics; 3) stress-response is less specific within cellular evolutionary context when compared to known biochemical specificities; and 4) most medical interventions have their unavoidable uncertainties and often can function as negative harmful stresses as trade-offs. The acknowledgment of diseases as adaptive systems calls for the action to integrate genome- (not simply individual gene-) mediated cellular evolution into molecular medicine. © 2016 John Wiley & Sons, Ltd.

  1. Exploring Differential Effects of Mathematics Courses on Mathematics Achievement

    Science.gov (United States)

    Ma, Xin; McIntyre, Laureen J.

    2005-01-01

    Using data from the Longitudinal Study of Mathematics Participation (N = 1,518 students from 34 schools), we investigated the effects of pure and applied mathematics courses on mathematics achievement, controlling for prior mathematics achievement. Results of multilevel modelling showed that the effects of pure mathematics were significant after…

  2. The Relevance and Efficacy of Metacognition for Instructional Design in the Domain of Mathematics

    Science.gov (United States)

    Baten, Elke; Praet, Magda; Desoete, Annemie

    2017-01-01

    The efficacy of metacognition as theory-based instructional principle or technique in general, and particularly in mathematics, is explored. Starting with an overview of different definitions, conceptualizations, assessment and training models originating from cognitive information processing theory, the role of metacognition in teaching and…

  3. Averting a Disaster with Groundwater Depletion in India: The General Case of Water Management Principles and Development (Invited)

    Science.gov (United States)

    Lall, U.

    2013-12-01

    Many countries, including the USA, China, and India are experiencing chronic groundwater depletion. In part this unsustainable water use results from climatic factors that reduce surface water availability and also the recharge to the aquifer system. However, a more critical factor is uncontrolled use for agriculture and energy and mineral processing. Interestingly in places such as India endowments have been politically created that lead to ever increasing use, through the provision of free energy for pumping. Reversing the situation is considered politically challenging, and the concept of metering and payment for what is essentially economic use of water is also considered difficult to apply. In this talk I use the Indian situation as a general example and discuss the role central planning strategies for demand and resource management can play recognizing the private action by millions of users as an inevitable tool that needs to be leveraged without necessarily the high transaction costs that come with monitoring and fee collection for monitored use. Specifically, targeting and stimulating potential cropping strategies and on farm water and energy management emerge as a choice in a difficult management environment. In a broader development context, I argue that the role of private sector aggregators in developing farm to market procurement strategies can play a role in both improving rural economies and providing a trajectory for more efficient water use through technology and crop choice.

  4. The Generalized Projective Riccati Equations Method for Solving Nonlinear Evolution Equations in Mathematical Physics

    Directory of Open Access Journals (Sweden)

    E. M. E. Zayed

    2014-01-01

    Full Text Available We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any-order nonlinear terms, namely, the nonlinear Pochhammer-Chree equation, the nonlinear Burgers equation and the generalized, nonlinear Zakharov-Kuznetsov equation. This method presents wider applicability for handling many other nonlinear evolution equations in mathematical physics.

  5. ABOUT THE RELEVANCE AND METHODOLOGY ASPECTS OF TEACHING THE MATHEMATICAL MODELING TO PEDAGOGICAL STUDENTS

    Directory of Open Access Journals (Sweden)

    Y. A. Perminov

    2014-01-01

    Full Text Available The paper substantiates the need for profile training in mathematical modeling for pedagogical students, caused by the total penetration of mathematics into different sciences, including the humanities; fast development of the information communications technologies; and growing importance of mathematical modeling, combining the informal scientific and formal mathematical languages with the unique opportunities of computer programming. The author singles out the reasons for mastering and using the mathematical apparatus by teaches in every discipline. Indeed, among all the modern mathematical methods and ideas, mathematical modeling retains its priority in all professional spheres. Therefore, the discipline ofMathematical Modeling” can play an important role in integrating different components of specialists training in various profiles. By mastering the basics of mathematical modeling, students acquire skills of methodological thinking; learn the principles of analysis, synthesis, generalization of ideas and methods in different disciplines and scientific spheres; and achieve general culture competences. In conclusion, the author recommends incorporating the “Methods of Profile Training in Mathematical Modeling” into the pedagogical magistracy curricula. 

  6. A Study of Visualization for Mathematics Education

    Science.gov (United States)

    Daugherty, Sarah C.

    2008-01-01

    Graphical representations such as figures, illustrations, and diagrams play a critical role in mathematics and they are equally important in mathematics education. However, graphical representations in mathematics textbooks are static, Le. they are used to illustrate only a specific example or a limited set. of examples. By using computer software to visualize mathematical principles, virtually there is no limit to the number of specific cases and examples that can be demonstrated. However, we have not seen widespread adoption of visualization software in mathematics education. There are currently a number of software packages that provide visualization of mathematics for research and also software packages specifically developed for mathematics education. We conducted a survey of mathematics visualization software packages, summarized their features and user bases, and analyzed their limitations. In this survey, we focused on evaluating the software packages for their use with mathematical subjects adopted by institutions of secondary education in the United States (middle schools and high schools), including algebra, geometry, trigonometry, and calculus. We found that cost, complexity, and lack of flexibility are the major factors that hinder the widespread use of mathematics visualization software in education.

  7. On Mathematical Understanding: Perspectives of Experienced Chinese Mathematics Teachers

    Science.gov (United States)

    Cai, Jinfa; Ding, Meixia

    2017-01-01

    Researchers have long debated the meaning of mathematical understanding and ways to achieve mathematical understanding. This study investigated experienced Chinese mathematics teachers' views about mathematical understanding. It was found that these mathematics teachers embrace the view that understanding is a web of connections, which is a result…

  8. Quantum Mechanics and the Principle of Least Radix Economy

    Science.gov (United States)

    Garcia-Morales, Vladimir

    2015-03-01

    A new variational method, the principle of least radix economy, is formulated. The mathematical and physical relevance of the radix economy, also called digit capacity, is established, showing how physical laws can be derived from this concept in a unified way. The principle reinterprets and generalizes the principle of least action yielding two classes of physical solutions: least action paths and quantum wavefunctions. A new physical foundation of the Hilbert space of quantum mechanics is then accomplished and it is used to derive the Schrödinger and Dirac equations and the breaking of the commutativity of spacetime geometry. The formulation provides an explanation of how determinism and random statistical behavior coexist in spacetime and a framework is developed that allows dynamical processes to be formulated in terms of chains of digits. These methods lead to a new (pre-geometrical) foundation for Lorentz transformations and special relativity. The Parker-Rhodes combinatorial hierarchy is encompassed within our approach and this leads to an estimate of the interaction strength of the electromagnetic and gravitational forces that agrees with the experimental values to an error of less than one thousandth. Finally, it is shown how the principle of least-radix economy naturally gives rise to Boltzmann's principle of classical statistical thermodynamics. A new expression for a general (path-dependent) nonequilibrium entropy is proposed satisfying the Second Law of Thermodynamics.

  9. Didactics of Mathematics: An Epistemological Approach to Mathematics Education

    Science.gov (United States)

    Winslow, Carl

    2007-01-01

    I present some key ideas and examples of (mainly French) work in the didactics of mathematics with the aim of identifying the didactics approach to education in relation to more general approaches. In particular I discuss three crucial features of didactics: (1) its epistemological character, i.e. the central focus on specific knowledge in…

  10. A Principle of Intentionality

    Science.gov (United States)

    Turner, Charles K.

    2017-01-01

    The mainstream theories and models of the physical sciences, including neuroscience, are all consistent with the principle of causality. Wholly causal explanations make sense of how things go, but are inherently value-neutral, providing no objective basis for true beliefs being better than false beliefs, nor for it being better to intend wisely than foolishly. Dennett (1987) makes a related point in calling the brain a syntactic (procedure-based) engine. He says that you cannot get to a semantic (meaning-based) engine from there. He suggests that folk psychology revolves around an intentional stance that is independent of the causal theories of the brain, and accounts for constructs such as meanings, agency, true belief, and wise desire. Dennett proposes that the intentional stance is so powerful that it can be developed into a valid intentional theory. This article expands Dennett’s model into a principle of intentionality that revolves around the construct of objective wisdom. This principle provides a structure that can account for all mental processes, and for the scientific understanding of objective value. It is suggested that science can develop a far more complete worldview with a combination of the principles of causality and intentionality than would be possible with scientific theories that are consistent with the principle of causality alone. PMID:28223954

  11. Principles of Chemistry (by Michael Munowitz)

    Science.gov (United States)

    Kovac, Reviewed By Jeffrey

    2000-05-01

    principles. This is a very conceptual book. Each chapter has two parts, which are distinguished by having different-colored pages: white and gray. The first part of every chapter is a lovely conceptual development of the "big picture". In these white pages, there are no sample problems, no tables of data, just elegant prose liberally illustrated with graphs and diagrams. Mathematical and chemical equations and chemical structures are presented as needed, but the goal is to provide the reader with a conceptual understanding. I found these introductory "lectures", as Munowitz terms them, to be enchanting. The second part of each chapter is a review and guide to problems, what Munowitz calls the "recitation" section. These pages are gray. This second section gives a brief summary of the material, which is followed by a series of worked examples that apply the concepts to practical problems. This structure reflects the author's pedagogical philosophy--begin with the general and move to the specific--and his view of chemistry as a combination of "lofty principles and gritty practicality". Following the worked examples, of course, are exercises for the student, ranging from simple drill problems to more sophisticated applications of the principles. I was a little disappointed, however, that there were so few conceptual exercises. Although Munowitz describes the second part of each chapter as a review and applications, he does put new material into the sample problems. For example, in Chapter 3 the concept of oxidation numbers is introduced and sample problems on the assignment of oxidation numbers are presented. Then, in example 3-3, the concept of formal charge is presented as a contrast to the oxidation number even though this idea had not been previously introduced. The dual structure of white and gray pages makes this book unique but also very long. The combined length of the white sections is about 800 pages, but an approximately 25-page conceptual section is always followed

  12. Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry

    Directory of Open Access Journals (Sweden)

    Bernhelm Booß-Bavnbek

    2007-10-01

    Full Text Available Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity. Nowadays it is providing new insight into the unification of all fundamental interactions, while giving rise to new developments in modern mathematics. It is however unclear whether it will ever become a falsifiable physical theory, since it deals with Planck-scale physics. Reviewing a wide range of spectral geometry from index theory to spectral triples, we hope to dismiss the general opinion that the mere mathematical complexity of the unification programme will obstruct that programme.

  13. Quantum Gravity: Unification of Principles and Interactions, and Promises of Spectral Geometry

    Science.gov (United States)

    Booß-Bavnbek, Bernhelm; Esposito, Giampiero; Lesch, Matthias

    2007-10-01

    Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity. Nowadays it is providing new insight into the unification of all fundamental interactions, while giving rise to new developments in modern mathematics. It is however unclear whether it will ever become a falsifiable physical theory, since it deals with Planck-scale physics. Reviewing a wide range of spectral geometry from index theory to spectral triples, we hope to dismiss the general opinion that the mere mathematical complexity of the unification programme will obstruct that programme.

  14. Principles of quantum electronics

    CERN Document Server

    Marcuse, Dietrich

    1980-01-01

    Principles of Quantum Electronics focuses on the concept of quantum electronics as the application of quantum theory to engineering problems. It examines the principles that govern specific quantum electronics devices and presents their theoretical applications to typical problems. Comprised of 10 chapters, this book starts with an overview of the Dirac formulation of quantum mechanics. This text then considers the derivation of the formalism of field quantization and discusses the properties of photons and phonons. Other chapters examine the interaction between the electromagnetic field and c

  15. A history of mathematics

    CERN Document Server

    Boyer, Carl B

    2011-01-01

    The updated new edition of the classic and comprehensive guide to the history of mathematics. For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind's relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat's Last Theorem and the Poincaré Conjecture , in addition to recent advances in areas such as finite group theory and computer-aided proofs.: Distills thousands of years of mathematics into a single, approachable volume; Cover

  16. PANSYSTEMS ANALYSIS: MATHEMATICS, METHODOLOGY,RELATIVITY AND DIALECTICAL THINKING

    Institute of Scientific and Technical Information of China (English)

    郭定和; 吴学谋; 冯向军; 李永礼

    2001-01-01

    Based on new analysis modes and new definitions with relative mathematization and simplification or strengthening forms for concepts of generalized systems,panderivatives , pansymmetry , panbox principle, pansystems relativity, etc. , the framework and related principles of pansystems methodology and pansystems relativity are developed. Related contents include: pansystems with relatively universal mathematizing forns, 200 types of dualities, duality transformation, pansymmetry transformation,pansystems dialectics, the 8-domain method, pansystems mathematical methods,generalized quantification, the principles of approximation-transforming, pan-equivalence theorems , supply-demand analysis, thinking experiment, generalized gray systems, etc.

  17. The language of mathematics telling mathematical tales

    CERN Document Server

    Barton, Bill

    2008-01-01

    Everyday mathematical ideas are expressed differently in different languages. This book probes those differences and explores their implications for mathematics education, arguing for alternatives to how we teach and learn mathematics.

  18. Mathematical knowledge: a case study in empirical philosophy of mathematics

    NARCIS (Netherlands)

    Löwe, B.; Müller, T.; Wilhelmus, E.; Van Kerkhove, B.; De Vuyst, J.; Van Bendegem, J.P.

    2010-01-01

    In this paper, we present a paradigm for the philosopher of mathematics who takes mathematical practice seriously: Empirical Philosophy of Mathematics. In this philosophical paradigm, we use empirical methods (from sociology, psychology, cognitive science, didactics) to evaluate empirical questions

  19. Principles of engineering geology

    Energy Technology Data Exchange (ETDEWEB)

    Attewell, P.B.; Farmer, I.W.

    1976-01-01

    This book discusses basic principles as well as the practical applications of geological survey and analysis. Topics covered include the mechanical and physical response of rocks, rock masses and soils to changes in environmental conditions, and the principles of groundwater flow. The core of the book deals with the collection of geological and technical data, its subsequent analysis, and application to design. The combination of rigorous and detailed discussion of theory and well-illustrated examples made the book an indispensable reference source and ideal course book for both geologists and civil engineers.

  20. Makers of mathematics

    CERN Document Server

    Hollingdale, Stuart

    2011-01-01

    Fascinating and highly readable, this book recounts the history of mathematics as revealed in the lives and writings of the most distinguished practitioners of the art: Archimedes, Descartes, Fermat, Pascal, Newton, Leibniz, Euler, Gauss, Hamilton, Einstein, and many more. Author Stuart Hollingdale introduces and explains the roles of these gifted and often colorful figures in the development of mathematics as well as the ways in which their work relates to mathematics as a whole.Although the emphasis in this absorbing survey is primarily biographical, Hollingdale also discusses major historic

  1. Principles of computational fluid dynamics

    CERN Document Server

    Wesseling, Pieter

    2001-01-01

    The book is aimed at graduate students, researchers, engineers and physicists involved in flow computations. An up-to-date account is given of the present state-of-the-art of numerical methods employed in computational fluid dynamics. The underlying numerical principles are treated with a fair amount of detail, using elementary mathematical analysis. Attention is given to difficulties arising from geometric complexity of the flow domain and of nonuniform structured boundary-fitted grids. Uniform accuracy and efficiency for singular perturbation problems is studied, pointing the way to accurate computation of flows at high Reynolds number. Much attention is given to stability analysis, and useful stability conditions are provided, some of them new, for many numerical schemes used in practice. Unified methods for compressible and incompressible flows are discussed. Numerical analysis of the shallow-water equations is included. The theory of hyperbolic conservation laws is treated. Godunov's order barrier and ho...

  2. Principles of statistics

    CERN Document Server

    Bulmer, M G

    1979-01-01

    There are many textbooks which describe current methods of statistical analysis, while neglecting related theory. There are equally many advanced textbooks which delve into the far reaches of statistical theory, while bypassing practical applications. But between these two approaches is an unfilled gap, in which theory and practice merge at an intermediate level. Professor M. G. Bulmer's Principles of Statistics, originally published in 1965, was created to fill that need. The new, corrected Dover edition of Principles of Statistics makes this invaluable mid-level text available once again fo

  3. Fundamentals of university mathematics

    CERN Document Server

    McGregor, C M; Stothers, W W

    2010-01-01

    The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics.Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differe

  4. Equations of mathematical physics

    CERN Document Server

    Tikhonov, A N

    2011-01-01

    Mathematical physics plays an important role in the study of many physical processes - hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced-undergraduate or graduate-level text considers only those problems leading to partial differential equations. The authors - two well-known Russian mathematicians - have focused on typical physical processes and the principal types of equations deailing with them. Special attention is paid throughout to mathematical formulation, ri

  5. Early predictors of high school mathematics achievement.

    Science.gov (United States)

    Siegler, Robert S; Duncan, Greg J; Davis-Kean, Pamela E; Duckworth, Kathryn; Claessens, Amy; Engel, Mimi; Susperreguy, Maria Ines; Chen, Meichu

    2012-07-01

    Identifying the types of mathematics content knowledge that are most predictive of students' long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students' knowledge of algebra and overall mathematics achievement. Analyses of large, nationally representative, longitudinal data sets from the United States and the United Kingdom revealed that elementary school students' knowledge of fractions and of division uniquely predicts those students' knowledge of algebra and overall mathematics achievement in high school, 5 or 6 years later, even after statistically controlling for other types of mathematical knowledge, general intellectual ability, working memory, and family income and education. Implications of these findings for understanding and improving mathematics learning are discussed.

  6. Disruption of long-range gene regulation in human genetic disease: a kaleidoscope of general principles, diverse mechanisms and unique phenotypic consequences.

    Science.gov (United States)

    Bhatia, Shipra; Kleinjan, Dirk A

    2014-07-01

    The precise control of gene expression programs is crucial for the establishment of the diverse gene activity patterns required for the correct development, patterning and differentiation of the myriad of cell types within an organism. The crucial importance of non-coding regions of the genome in the control of gene regulation is well established and depends on a diverse group of sequence fragments called cis-regulatory elements that reside in these regions. Advances in novel genome-wide techniques have greatly increased the ability to identify potential regulatory elements. In contrast, their functional characterisation and the determination of their diverse modes of action remain a major bottleneck. Greater knowledge of gene expression control is of major importance for human health as disruption of gene regulation has become recognised as a significant cause of human disease. Appreciation of the role of cis-regulatory polymorphism in natural variation and susceptibility to common disease is also growing. While novel techniques such as GWAS and NGS provide the ability to collect large genomic datasets, the challenge for the twenty-first century will be to extract the relevant sequences and how to investigate the functional consequences of disease-associated changes. Here, we review how studies of transcriptional control at selected paradigm disease gene loci have revealed general principles of cis-regulatory logic and regulatory genome organisation, yet also demonstrate how the variety of mechanisms can combine to result in unique phenotypic outcomes. Integration of these principles with the emerging wealth of genome-wide data will provide enhanced insight into the workings of our regulatory genome.

  7. The Mathematics of Knots

    CERN Document Server

    Banagl, Markus

    2011-01-01

    The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. Both original research and survey articles are presented; numerous illustrations support the text. The book will be of great interest to researchers in topology, geometry, and mathematical physics, graduate students specializing in knot theory, and cell biologists interested

  8. On the sufficiency of the linear maximum principle

    DEFF Research Database (Denmark)

    Vidal, Rene Victor Valqui

    1987-01-01

    Presents a family of linear maximum principles for the discrete-time optimal control problem, derived from the saddle-point theorem of mathematical programming. Some simple examples illustrate the applicability of the main theoretical results...

  9. The reality of Mathematics

    Science.gov (United States)

    Ligomenides, Panos A.

    2009-05-01

    The power of mathematics is discussed as a way of expressing reasoning, aesthetics and insight in symbolic non-verbal communication. The human culture of discovering mathematical ways of thinking in the enterprise of exploring the understanding of the nature and the evolution of our world through hypotheses, theories and experimental affirmation of the scientific notion of algorithmic and non-algorithmic [`]computation', is examined and commended upon.

  10. COGNITIVE FUNCTIONS AS A GENERALIZATION OF THE CLASSICAL CONCEPT OF FUNCTIONAL DEPENDENCE ON THE BASIS OF INFORMATION THEORY IN ASC-ANALYSIS AND SYSTEM FUZZY INTERVAL MATHEMATICS

    Directory of Open Access Journals (Sweden)

    Lutsenko Y. V.

    2014-01-01

    Full Text Available This article briefly reviews the classical concept of functional dependence in mathematics, determines the limitations of this concept for adequate modeling of reality and formulates the problem, consisting in search of such generalization of the concept of func-tions, which is more suitable for the adequate reflec-tion of causal relationships in the real domain. Also, it discusses theoretical and practical solving the prob-lem, consisting in: (a we suggest the universal method of calculating the amount of information in the value of argument about the meaning of the function, i.e. cognitive functions which is independent from the subject area; b we offer software tools: Eidos intelli-gent system, allowing in practice to carry out these calculations, i.e. to build cognitive functions based on a fragmented noisy empirical data of high dimension. We also offer the concepts of nonreducing, partially and completely reduced direct and inverse, positive and negative cognitive functions and the method of formation of reduced cognitive function, which is a generalization of known weighted least-squares meth-od on the basis of observation the amount of infor-mation in the values of the argument about the values of the functions accounting

  11. Communication: Maximum caliber is a general variational principle for nonequilibrium statistical mechanics.

    Science.gov (United States)

    Hazoglou, Michael J; Walther, Valentin; Dixit, Purushottam D; Dill, Ken A

    2015-08-07

    There has been interest in finding a general variational principle for non-equilibrium statistical mechanics. We give evidence that Maximum Caliber (Max Cal) is such a principle. Max Cal, a variant of maximum entropy, predicts dynamical distribution functions by maximizing a path entropy subject to dynamical constraints, such as average fluxes. We first show that Max Cal leads to standard near-equilibrium results—including the Green-Kubo relations, Onsager's reciprocal relations of coupled flows, and Prigogine's principle of minimum entropy production—in a way that is particularly simple. We develop some generalizations of the Onsager and Prigogine results that apply arbitrarily far from equilibrium. Because Max Cal does not require any notion of "local equilibrium," or any notion of entropy dissipation, or temperature, or even any restriction to material physics, it is more general than many traditional approaches. It also applicable to flows and traffic on networks, for example.

  12. Mathematical modeling and simulation in animal health - Part II: principles, methods, applications, and value of physiologically based pharmacokinetic modeling in veterinary medicine and food safety assessment.

    Science.gov (United States)

    Lin, Z; Gehring, R; Mochel, J P; Lavé, T; Riviere, J E

    2016-10-01

    This review provides a tutorial for individuals interested in quantitative veterinary pharmacology and toxicology and offers a basis for establishing guidelines for physiologically based pharmacokinetic (PBPK) model development and application in veterinary medicine. This is important as the application of PBPK modeling in veterinary medicine has evolved over the past two decades. PBPK models can be used to predict drug tissue residues and withdrawal times in food-producing animals, to estimate chemical concentrations at the site of action and target organ toxicity to aid risk assessment of environmental contaminants and/or drugs in both domestic animals and wildlife, as well as to help design therapeutic regimens for veterinary drugs. This review provides a comprehensive summary of PBPK modeling principles, model development methodology, and the current applications in veterinary medicine, with a focus on predictions of drug tissue residues and withdrawal times in food-producing animals. The advantages and disadvantages of PBPK modeling compared to other pharmacokinetic modeling approaches (i.e., classical compartmental/noncompartmental modeling, nonlinear mixed-effects modeling, and interspecies allometric scaling) are further presented. The review finally discusses contemporary challenges and our perspectives on model documentation, evaluation criteria, quality improvement, and offers solutions to increase model acceptance and applications in veterinary pharmacology and toxicology.

  13. Principles of Proper Validation

    DEFF Research Database (Denmark)

    Esbensen, Kim; Geladi, Paul

    2010-01-01

    Validation in chemometrics is presented using the exemplar context of multivariate calibration/prediction. A phenomenological analysis of common validation practices in data analysis and chemometrics leads to formulation of a set of generic Principles of Proper Validation (PPV), which is based...

  14. Principles of Cancer Screening.

    Science.gov (United States)

    Pinsky, Paul F

    2015-10-01

    Cancer screening has long been an important component of the struggle to reduce the burden of morbidity and mortality from cancer. Notwithstanding this history, many aspects of cancer screening remain poorly understood. This article presents a summary of basic principles of cancer screening that are relevant for researchers, clinicians, and public health officials alike. Published by Elsevier Inc.

  15. Mathematical Optimiation in Economics

    CERN Document Server

    De Finetti, Bruno

    2011-01-01

    Preface by B. de Finetti.- G.Th. Guilbaud: Les equilibres dans les modeles economiques.-H.W. Kuhn: Locational problems and mathematical programming.- M. Morishima: The multi-sectoral theory of economic growth.- B. Martos, J. Kornai: Experiments in Hungary with industry-wide and economy wide programming.- A. Prekopa: Probability distribution problems concerning stochastic programming problems.- R. Frisch: General principles and mathematical techniques of macroeconomic programming.

  16. Principles of Protocol Design

    DEFF Research Database (Denmark)

    Sharp, Robin

    This is a new and updated edition of a book first published in 1994. The book introduces the reader to the principles used in the construction of a large range of modern data communication protocols, as used in distributed computer systems of all kinds. The approach taken is rather a formal one...

  17. Principles of economics textbooks

    DEFF Research Database (Denmark)

    Madsen, Poul Thøis

    2012-01-01

    Has the financial crisis already changed US principles of economics textbooks? Rather little has changed in individual textbooks, but taken as a whole ten of the best-selling textbooks suggest rather encompassing changes of core curriculum. A critical analysis of these changes shows how individual...

  18. Optimal decisions principles of programming

    CERN Document Server

    Lange, Oskar

    1971-01-01

    Optimal Decisions: Principles of Programming deals with all important problems related to programming.This book provides a general interpretation of the theory of programming based on the application of the Lagrange multipliers, followed by a presentation of the marginal and linear programming as special cases of this general theory. The praxeological interpretation of the method of Lagrange multipliers is also discussed.This text covers the Koopmans' model of transportation, geometric interpretation of the programming problem, and nature of activity analysis. The solution of t

  19. On the sufficiency of the linear maximum principle

    DEFF Research Database (Denmark)

    Vidal, Rene Victor Valqui

    1987-01-01

    Presents a family of linear maximum principles for the discrete-time optimal control problem, derived from the saddle-point theorem of mathematical programming. Some simple examples illustrate the applicability of the main theoretical results......Presents a family of linear maximum principles for the discrete-time optimal control problem, derived from the saddle-point theorem of mathematical programming. Some simple examples illustrate the applicability of the main theoretical results...

  20. Whether Philosophers Need Contemporary Mathematics?

    Directory of Open Access Journals (Sweden)

    Erovenko V. A.

    2013-01-01

    Full Text Available The article discusses the various problems of mathematical education of philosophers. Even a negative school experience of practical development of mathematics gives an idea of mathematics as a special item that requires in-depth study to understand it as a whole. Knowledge of mathematics dispassionately verifies readiness to grasp an abstract philosophical reasoning. The true goal of mathematical education of philosophers is not just the acquisition of specific knowledge but first of all the development of thinking or intelligence aimed at cognition which is sometimes called philosophy. In this paper we are trying to answer the question: how and why mathematics is useful for university philosophical education? In particular, speaking about the course of modern mathematics for philosophers it is emphasized that professional philosophers are in a special position – they need modern mathematics as a component of the general methodology of cognition, so not separate details of mathematical techniques but basic mathematical principles are important for them. In the context of understanding mathematics, the mathematical course for philosophers should be based on methodological foundation, where the main role is devoted to the priority philosophical questions, developing mathematical ideas, taking into account the role of the emotional components of modern mathematical education.