Invariance And Structural Dependence

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Invariance and Structural Dependence

Author : Jan Odelstad
Publisher : Springer Science & Business Media
ISBN 13 : 3642483887
Total Pages : 255 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Invariance and Structural Dependence by : Jan Odelstad

Download or read book Invariance and Structural Dependence written by Jan Odelstad and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a revised version of a doctoral thesis, submitted in mimeographed fonn to the Faculty of Arts, Uppsala University, 1988. It deals with the notions of struc tural dependence and independence, which are used in many applications of mathe matics to science. For instance, a physical law states that one physical aspect is structurally dependent on one or more other aspects. Structural dependence is closely related to the mathematical idea of functional dependence. However, struc tural dependence is primarily thought of as a relation holding between aspects rather than between their measures. In this book, the traditional way of treating aspects within measurement theory is modified. An aspect is not viewed as a set-theoretical structure but as a function which has sets as arguments and set-theoretical structures as values. This way of regarding aspects is illustrated with an application to social choice and group deci sion theory. Structural dependence is connected with the idea of concomitant variations and the mathematical notion of invariance. This implies that the study of this notion has roots going back to Mill's inductive logic, to Klein's Erlangen Program for geome try and to Padoa's method for proving the independence of symbols in formal logic.

Invariance and Structural Dependence

Author : Jan Odelstad
Publisher :
ISBN 13 : 9783642483899
Total Pages : 264 pages
Book Rating : 4.4/5 (838 download)

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Book Synopsis Invariance and Structural Dependence by : Jan Odelstad

Download or read book Invariance and Structural Dependence written by Jan Odelstad and published by . This book was released on 1992-04-15 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the notices of structural dependence and independence, which are used in many applications of mathematics to science. For instance,a physical law states that one physical aspect is structurally dependent on one or more other aspects. Structural dependence is closely related to the mathematical idea of functional dependence. However, functional dependence expresses a kind of complete dependence while structural dependence includes partial dependence. Further, structural dependence is primarily thought of as a relation holding between aspects rather than between their measures. In this book, the traditional way of treating aspects within measurement theory is modified. An aspect is not viewed as a set-theoretical structure but as a function which has sets as arguments and set-theoretical structures as values. This way of regardingaspects is illustrated with an application to social choice and group decision theory. Structural dependence is connected with the idea of concomitant variations and the mathematical notion of invariance. A distinction between dependence in the sense of determination and in the sense of relevance is drawn. Structural dependence both in the sense of determination and of relevance can be found in degrees from complete determination and relevance to complete undetermination and irrelevance. The possibility of different "scales" of determination and relevance is considered. One chapter of the book is devoted to a study of the dependence relation between the social ordering and the individual orderings in social choice and group decision theory.

Conformal Invariance and String Theory

Author : Petre Dita
Publisher : Elsevier
ISBN 13 : 0323145574
Total Pages : 575 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Conformal Invariance and String Theory by : Petre Dita

Download or read book Conformal Invariance and String Theory written by Petre Dita and published by Elsevier. This book was released on 2012-12-02 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conformal Invariance and String Theory is an account of the series of lectures held in Summer School regarding Conformal Invariance and String Theory in September 1987. The purpose of the lectures is to present the important problems and results in these two areas of theoretical physics. The text is divided into two major parts. Part I deals with implications of conformal invariance in studying two-dimensional systems. Part II meanwhile presents lectures regarding the advances in string theory and other related topics.Also included in the text is a part dedicated to the topic of determinants. This topic is discussed in two parts; the first focuses on the determinants in the finite dimensional case, while the second talks about Fredholm determinants. The book is a helpful source of reference to students and researchers in the field of physics, specifically quantum and theoretical.

The Authority of Material Vs. the Spirit

Author : Douglas D Hunter
Publisher : Trafford Publishing
ISBN 13 : 1412240433
Total Pages : 970 pages
Book Rating : 4.4/5 (122 download)

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Book Synopsis The Authority of Material Vs. the Spirit by : Douglas D Hunter

Download or read book The Authority of Material Vs. the Spirit written by Douglas D Hunter and published by Trafford Publishing. This book was released on 2006-12-22 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new mathematically-based structure for language allows for a new context with which one can make verifiable predictions about: material, life, mind, and the spiritual intent of (creative) existence.

Dependent Data in Social Sciences Research

Author : Mark Stemmler
Publisher : Springer
ISBN 13 : 3319205854
Total Pages : 385 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Dependent Data in Social Sciences Research by : Mark Stemmler

Download or read book Dependent Data in Social Sciences Research written by Mark Stemmler and published by Springer. This book was released on 2015-10-19 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents contributions on handling data in which the postulate of independence in the data matrix is violated. When this postulate is violated and when the methods assuming independence are still applied, the estimated parameters are likely to be biased, and statistical decisions are very likely to be incorrect. Problems associated with dependence in data have been known for a long time, and led to the development of tailored methods for the analysis of dependent data in various areas of statistical analysis. These methods include, for example, methods for the analysis of longitudinal data, corrections for dependency, and corrections for degrees of freedom. This volume contains the following five sections: growth curve modeling, directional dependence, dyadic data modeling, item response modeling (IRT), and other methods for the analysis of dependent data (e.g., approaches for modeling cross-section dependence, multidimensional scaling techniques, and mixed models). Researchers and graduate students in the social and behavioral sciences, education, econometrics, and medicine will find this up-to-date overview of modern statistical approaches for dealing with problems related to dependent data particularly useful.

The Oxford Handbook of Quantitative Methods in Psychology, Vol. 1

Author : Todd D. Little
Publisher : Oxford University Press
ISBN 13 : 0199934878
Total Pages : 507 pages
Book Rating : 4.1/5 (999 download)

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Book Synopsis The Oxford Handbook of Quantitative Methods in Psychology, Vol. 1 by : Todd D. Little

Download or read book The Oxford Handbook of Quantitative Methods in Psychology, Vol. 1 written by Todd D. Little and published by Oxford University Press. This book was released on 2013-03-21 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Oxford Handbook of Quantitative Methods in Psychology provides an accessible and comprehensive review of the current state-of-the-science and a one-stop source for learning and reviewing current best-practices in a quantitative methods across the social, behavioral, and educational sciences.

Effects of the Weak Vector Boson in Certain Radiative Weak Decays

Author : Edward Stephen Ginsberg
Publisher :
ISBN 13 :
Total Pages : 202 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Effects of the Weak Vector Boson in Certain Radiative Weak Decays by : Edward Stephen Ginsberg

Download or read book Effects of the Weak Vector Boson in Certain Radiative Weak Decays written by Edward Stephen Ginsberg and published by . This book was released on 1964 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contemporary Directions in Psychopathology

Author : Theodore Millon
Publisher : Guilford Press
ISBN 13 : 1606235338
Total Pages : 622 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Contemporary Directions in Psychopathology by : Theodore Millon

Download or read book Contemporary Directions in Psychopathology written by Theodore Millon and published by Guilford Press. This book was released on 2011-08-03 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: This forward-thinking volume grapples with critical questions surrounding the mechanisms underlying mental disorders and the systems used for classifying them. Edited and written by leading international authorities, many of whom are actively involved with the development of DSM-V and ICD-11, the book integrates biological and psychosocial perspectives. It provides balanced analyses of such issues as the role of social context and culture in psychopathology and the pros and cons of categorical versus dimensional approaches to diagnosis. Cutting-edge diagnostic instruments and research methods are reviewed. Throughout, contributors highlight the implications of current theoretical and empirical advances for understanding real-world clinical problems and developing more effective treatments.

Gravity Models of Spatial Interaction Behavior

Author : Ashish Sen
Publisher : Springer Science & Business Media
ISBN 13 : 3642798802
Total Pages : 586 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Gravity Models of Spatial Interaction Behavior by : Ashish Sen

Download or read book Gravity Models of Spatial Interaction Behavior written by Ashish Sen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gravity models describe, and hence help predict, spatial flows of commuters, air-travelers, migrants, commodities and even messages. They are one of the oldest and most widely used of all social science models. This book presents an up-to-date, consistent and unified approach to the theory, methods and application of the gravity model - which spans from the axiomatic foundations of such models all the way to practical hints for their use. "I have found no better general method for use in applied research dealing with spatial interaction... It is against this background that the present book by Sen and Smith is most welcomed." Walter Isard

What can simple brains teach us about how vision works

Author : Davide Zoccolan
Publisher : Frontiers Media SA
ISBN 13 : 288919678X
Total Pages : 292 pages
Book Rating : 4.8/5 (891 download)

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Book Synopsis What can simple brains teach us about how vision works by : Davide Zoccolan

Download or read book What can simple brains teach us about how vision works written by Davide Zoccolan and published by Frontiers Media SA. This book was released on 2015-11-18 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vision is the process of extracting behaviorally-relevant information from patterns of light that fall on retina as the eyes sample the outside world. Traditionally, nonhuman primates (macaque monkeys, in particular) have been viewed by many as the animal model-of-choice for investigating the neuronal substrates of visual processing, not only because their visual systems closely mirror our own, but also because it is often assumed that “simpler” brains lack advanced visual processing machinery. However, this narrow view of visual neuroscience ignores the fact that vision is widely distributed throughout the animal kingdom, enabling a wide repertoire of complex behaviors in species from insects to birds, fish, and mammals. Recent years have seen a resurgence of interest in alternative animal models for vision research, especially rodents. This resurgence is partly due to the availability of increasingly powerful experimental approaches (e.g., optogenetics and two-photon imaging) that are challenging to apply to their full potential in primates. Meanwhile, even more phylogenetically distant species such as birds, fish, and insects have long been workhorse animal models for gaining insight into the core computations underlying visual processing. In many cases, these animal models are valuable precisely because their visual systems are simpler than the primate visual system. Simpler systems are often easier to understand, and studying a diversity of neuronal systems that achieve similar functions can focus attention on those computational principles that are universal and essential. This Research Topic provides a survey of the state of the art in the use of animal models of visual functions that are alternative to macaques. It includes original research, methods articles, reviews, and opinions that exploit a variety of animal models (including rodents, birds, fishes and insects, as well as small New World monkey, the marmoset) to investigate visual function. The experimental approaches covered by these studies range from psychophysics and electrophysiology to histology and genetics, testifying to the richness and depth of visual neuroscience in non-macaque species.

Social Belongingness and Well-Being: International Perspectives

Author : Dario Paez
Publisher : Frontiers Media SA
ISBN 13 : 2889715019
Total Pages : 409 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis Social Belongingness and Well-Being: International Perspectives by : Dario Paez

Download or read book Social Belongingness and Well-Being: International Perspectives written by Dario Paez and published by Frontiers Media SA. This book was released on 2021-10-18 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Topics In Nonstationary Analysis - Proceedings Of The Second Workshop On Nonstationary Random Processes And Their Applications

Download Current Topics In Nonstationary Analysis - Proceedings Of The Second Workshop On Nonstationary Random Processes And Their Applications PDF Online Free

Author : George Trevino
Publisher : World Scientific
ISBN 13 : 9814547697
Total Pages : 202 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Current Topics In Nonstationary Analysis - Proceedings Of The Second Workshop On Nonstationary Random Processes And Their Applications by : George Trevino

Download or read book Current Topics In Nonstationary Analysis - Proceedings Of The Second Workshop On Nonstationary Random Processes And Their Applications written by George Trevino and published by World Scientific. This book was released on 1996-08-30 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonstationarity is another name for intermittency, a phenomenon which affects many physical processes. Data collected in many R&D programs frequently exhibit nonstationary features, and problems inherent in the analysis of such data are profound. The premier objective of these proceedings is to consolidate recent developments in nonstationary analysis. A second objective is to delineate open problems. A by-product will hopefully be a bridging of the gap between related governmental needs, and the present-day research capabilities of both academics and non-academics alike.

Scaling, Fractals and Wavelets

Author : Patrice Abry
Publisher : John Wiley & Sons
ISBN 13 : 1118622901
Total Pages : 382 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Scaling, Fractals and Wavelets by : Patrice Abry

Download or read book Scaling, Fractals and Wavelets written by Patrice Abry and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling — self-similarity, long-range dependence and multi-fractals — are introduced. These models are compared and related to one another. Next, fractional integration, a mathematical tool closely related to the notion of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined. A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity, and fractal time-space.

Nuclear Science Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 658 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Smooth Molecular Decompositions of Functions and Singular Integral Operators

Author : John E. Gilbert
Publisher : American Mathematical Soc.
ISBN 13 : 0821827723
Total Pages : 89 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Smooth Molecular Decompositions of Functions and Singular Integral Operators by : John E. Gilbert

Download or read book Smooth Molecular Decompositions of Functions and Singular Integral Operators written by John E. Gilbert and published by American Mathematical Soc.. This book was released on 2002 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: Under minimal assumptions on a function $\psi$ the authors obtain wavelet-type frames of the form $\psi_{j, k}(x) = r DEGREES{(1/2)n j} \psi(r DEGREESj x - sk), j \in \integer, k \in \integer DEGREESn, $ for some $r > 1$ and $s > 0$. This collection is shown to be a frame for a scale of Triebel-Lizorkin spaces (which includes Lebesgue, Sobolev and Hardy spaces) and the reproducing formula converges in norm as well as pointwise a.e. The construction follows from a characterization of those operators which are bounded on a space of smooth molecules. This characterization also allows us to decompose a broad range of singular integral operators in ter

Scale Invariance

Author : Annick LESNE
Publisher : Springer Science & Business Media
ISBN 13 : 364215123X
Total Pages : 406 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Scale Invariance by : Annick LESNE

Download or read book Scale Invariance written by Annick LESNE and published by Springer Science & Business Media. This book was released on 2011-11-04 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: During a century, from the Van der Waals mean field description (1874) of gases to the introduction of renormalization group (RG techniques 1970), thermodynamics and statistical physics were just unable to account for the incredible universality which was observed in numerous critical phenomena. The great success of RG techniques is not only to solve perfectly this challenge of critical behaviour in thermal transitions but to introduce extremely useful tools in a wide field of daily situations where a system exhibits scale invariance. The introduction of scaling, scale invariance and universality concepts has been a significant turn in modern physics and more generally in natural sciences. Since then, a new "physics of scaling laws and critical exponents", rooted in scaling approaches, allows quantitative descriptions of numerous phenomena, ranging from phase transitions to earthquakes, polymer conformations, heartbeat rhythm, diffusion, interface growth and roughening, DNA sequence, dynamical systems, chaos and turbulence. The chapters are jointly written by an experimentalist and a theorist. This book aims at a pedagogical overview, offering to the students and researchers a thorough conceptual background and a simple account of a wide range of applications. It presents a complete tour of both the formal advances and experimental results associated with the notion of scaling, in physics, chemistry and biology.

Nuclear Magnetic Shieldings and Molecular Structure

Author : J. A. Tossell
Publisher : Springer Science & Business Media
ISBN 13 : 9401116520
Total Pages : 586 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Nuclear Magnetic Shieldings and Molecular Structure by : J. A. Tossell

Download or read book Nuclear Magnetic Shieldings and Molecular Structure written by J. A. Tossell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern approaches to the theoretical computation and experimental determination of NMR shielding tensors are described in twenty-nine papers based on lectures presented at the NATO ARW. All of the most popular computational methods are reviewed and recent progress is described in their application to chemical, biochemical, geochemical and materials science problems. Experimental studies on NMR shieldings in gases, liquids and solids are also included, with special emphasis placed upon the relationship between NMR shielding and geometric structure and upon tests of the accuracy of the various computational methods. Qualitative MO schemes and semiempirical approaches are also considered in light of the computational results. This is a valuable book for anyone interested in how the NMR shielding tensor can be used to determine the geometric and electronic structures of molecules and solids. (abstract) Modern methods for computing and measuring nuclear magnetic resonance shielding tensors are described in papers by a great number of leaders in the field. The most popular methods for quantum mechanically calculating NMR shielding tensors are reviewed and many applications of these methods are described to problems in chemistry, biochemistry, geochemistry and materials science. The focus of the papers is on the relationship of the NMR shielding tensor to the geometric and electronic structure of molecules or solids.