Special Groups
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Special Groups
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Author : M. A. Dickmann
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Special Groups written by M. A. Dickmann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Algebra, Boolean categories.
This monograph presents a systematic study of Special Groups, a first-order universal-existential axiomatization of the theory of quadratic forms, which comprises the usual theory over fields of characteristic different from 2, and is dual to the theory of abstract order spaces. The heart of our theory begins in Chapter 4 with the result that Boolean algebras have a natural structure of reduced special group. More deeply, every such group is canonically and functorially embedded in a certain Boolean algebra, its Boolean hull. This hull contains a wealth of information about the structure of the given special group, and much of the later work consists in unveiling it. Thus, in Chapter 7 we introduce two series of invariants "living" in the Boolean hull, which characterize the isometry of forms in any reduced special group. While the multiplicative series--expressed in terms of meet and symmetric difference--constitutes a Boolean version of the Stiefel-Whitney invariants, the additive series--expressed in terms of meet and join--, which we call Horn-Tarski invariants, does not have a known analog in the field case; however, the latter have a considerably more regular behaviour. We give explicit formulas connecting both series, and compute explicitly the invariants for Pfister forms and their linear combinations. In Chapter 9 we combine Boolean-theoretic methods with techniques from Galois cohomology and a result of Voevodsky to obtain an affirmative solution to a long standing conjecture of Marshall concerning quadratic forms over formally real Pythagorean fields. Boolean methods are put to work in Chapter 10 to obtain information about categories of special groups, reduced or not. And again in Chapter 11 to initiate the model-theoretic study of the first-order theory of reduced special groups, where, amongst other things we determine its model-companion. The first-order approach is also present in the study of some outstanding classes of morphisms carried out in Chapter 5, e.g., the pure embeddings of special groups. Chapter 6 is devoted to the study of special groups of continuous functions.
Special Groups
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Author : United States. Selective Service System
language : en
Publisher:
Release Date : 1953
Special Groups written by United States. Selective Service System and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with Draft categories.
Special Groups Text
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Author : United States. Selective Service System
language : en
Publisher:
Release Date : 1953
Special Groups Text written by United States. Selective Service System and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with Draft categories.
Housing For Special Groups
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Author : Sam Stuart
language : en
Publisher: Elsevier
Release Date : 2014-05-09
Housing For Special Groups written by Sam Stuart and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Social Science categories.
Housing for Special Groups contains the proceedings of an international seminar held in the Netherlands on November 8-13, 1976 under the auspices of the Committee on Housing, Building and Planning of the United Nations Economic Commission for Europe. The seminar provided a forum for discussing the special housing requirements of certain groups, including the elderly and the handicapped. The emphasis is on the scope and size of special housing problems and their likely future evolution, as well as the general lines of approach adopted by various countries to tackle these problems. The discussions are organized around three themes: specific housing needs in relation to overall housing policy; social principles, including financial aid; and architectural, planning, and technical aspects. The issues covered include the right to housing and the integration of such housing into the community and the avoidance of segregation; the possibility of housing choice; the relationship between the life-cycle of households and housing needs; and the architecture, planning, and technical aspects of housing for special groups in western Europe and eastern Europe. The possibilities offered both by new production and by alterations to existing buildings are considered. This monograph will be of interest to housing officials and policymakers.
Nutrition And Special Groups
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Author : United States. Congress. Senate. Select Committee on Nutrition and Human Needs
language : en
Publisher:
Release Date : 1974
Nutrition And Special Groups written by United States. Congress. Senate. Select Committee on Nutrition and Human Needs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Diet categories.
Representation Of Lie Groups And Special Functions
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Author : N.Ja. Vilenkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Representation Of Lie Groups And Special Functions written by N.Ja. Vilenkin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
In 1991-1993 our three-volume book "Representation of Lie Groups and Spe cial Functions" was published. When we started to write that book (in 1983), editors of "Kluwer Academic Publishers" expressed their wish for the book to be of encyclopaedic type on the subject. Interrelations between representations of Lie groups and special functions are very wide. This width can be explained by existence of different types of Lie groups and by richness of the theory of their rep resentations. This is why the book, mentioned above, spread to three big volumes. Influence of representations of Lie groups and Lie algebras upon the theory of special functions is lasting. This theory is developing further and methods of the representation theory are of great importance in this development. When the book "Representation of Lie Groups and Special Functions" ,vol. 1-3, was under preparation, new directions of the theory of special functions, connected with group representations, appeared. New important results were discovered in the traditional directions. This impelled us to write a continuation of our three-volume book on relationship between representations and special functions. The result of our further work is the present book. The three-volume book, published before, was devoted mainly to studying classical special functions and orthogonal polynomials by means of matrix elements, Clebsch-Gordan and Racah coefficients of group representations and to generaliza tions of classical special functions that were dictated by matrix elements of repre sentations.
National Nutrition Policy Nutrition And Special Groups
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Author :
language : en
Publisher:
Release Date : 1974
National Nutrition Policy Nutrition And Special Groups written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Diet categories.
A 1974 compilation of 17 previously published articles dealing with contemporary issues in food and nutrition was prepared as a set of key papers for use by the US Select Committee on Nutrition and Human Needs. The articles are grouped among 5 themes: the aged; American Indians; blacks; migrant workers; and children (preschool, adolescent, and handicapped). It is argued that the material presented is representative of the understandings being developed in the expanding literature on national and international food and nutrition policy.
Mental Stress And Behaviour Problems Among Special Groups Social Resources Influences On Health And Reducing Health Inequities
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Author : Tingzhong Yang
language : en
Publisher: Frontiers Media SA
Release Date : 2022-07-06
Mental Stress And Behaviour Problems Among Special Groups Social Resources Influences On Health And Reducing Health Inequities written by Tingzhong Yang and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-06 with Medical categories.
Counseling And Employment Service For Special Worker Groups
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Author : United States Employment Service
language : en
Publisher:
Release Date : 1954
Counseling And Employment Service For Special Worker Groups written by United States Employment Service and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Child labor categories.
Special Social Groups Social Factors And Disparities In Health And Health Care
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Author : Jennie Jacobs Kronenfeld
language : en
Publisher: Emerald Group Publishing
Release Date : 2016-08-16
Special Social Groups Social Factors And Disparities In Health And Health Care written by Jennie Jacobs Kronenfeld and has been published by Emerald Group Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-16 with Health & Fitness categories.
This volume features papers on the theme of issues in health and health care for special groups, social factors and disparities.