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Recent Developments in Representation Theory and Mathematical Physics
2022Workshop ...
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Mathematical Representations of Development Theories
1979In this chapter we explore the consequences of particular stage linkage structures for the evolution of a population. We first argue the importance of constructing dynamic models of development theories and show the implications of various stage connections for population movements.
Singer, Burton, Spilerman, Seymour
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Adaptive mathematical morphology: A unified representation theory
2009 16th IEEE International Conference on Image Processing (ICIP), 2009In this paper, we present a general theory of adaptive mathematical morphology (AMM) in the Euclidean space. The proposed theory preserves the notion of a structuring element, which is crucial in the design of geometrical signal and image processing applications.
Nidhal Bouaynaya, Dan Schonfeld
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Mini-Workshop: Recent Developments in Representation Theory and Mathematical Physics
Oberwolfach Reports, 2023This mini-workshop was devoted to foster the interactions between mathematicians and mathematical physicists who are working on questions related to representation theory. This includes for example the representation theory of supergroups, vertex operator algebras and quantum groups. Another focus was on link and manifold invariants and TQFTs.
Tudor Dimofte +2 more
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A comprehensive theory of representation for mathematics education
The Journal of Mathematical Behavior, 1998Representation is a difficult concept. Behaviorists wanted to get rid of it; many researchers prefer other terms like “conception” or “reasoning” or even “encoding;” and many cognitive science resarchers have tried to avoid the problem by reducing thinking to production rules.There are at least two simple and naive reasons for considering ...
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Mathematical Representation for Wald’s Compartment Theory*
Journal of the Optical Society of America, 1963G. Wald has suggested a compartment theory for the functioning of the rods which corresponds mathematically to that of the Geiger–Muller counter. In this paper a discussion is given as to how the compartment theory fits various models for Geiger–Muller counters. Numerical examples are given to illustrate how the mathematical models can be compared with
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To the mathematical theory of representation of information in neural nets
Ukrainian Mathematical Journal, 1995We study irreducible nonorthogonal resolutions of the identity. The results obtained show that, in contrast to traditional requirements of “independent measurements” type, the noncommutative approach gives a more precise description of information systems.
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Comparing the theory of representations and constructive mathematics
2005The paper explores the analogy between reducibility statements of Weihrauch's theory of representations and theorems of constructive mathematics which can be reformulated as inclusions between sets. Kleene's function-realizability is the key to understanding of the analogy, and suggests an alternative way of looking at the theory of reducibilities.
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Knowledge representation for mathematical discovery: Three experiments in graph theory
Applied Intelligence, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Epstein, Susan L., Sridharan, N. S.
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Mathematical Topics on Representations of Ordered Structures and Utility Theory
2020We met Prof. Dr. G. B. Mehta for the first time in 1992, in a congress held in Paris, France. Since then we have fruitfully and continuously contributed with him in the publication of several papers on Utility Theory, as well as in the preparation of congresses, workshops, and seminars. He has always encouraged us to go ahead in our research on Utility
Gianni Bosi +3 more
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