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Mathematical Representations of Development Theories [PDF]

open access: possible, 1979
In 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.
Burton H. Singer, Seymour Spilerman
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Adaptive mathematical morphology: A unified representation theory

2009 16th IEEE International Conference on Image Processing (ICIP), 2009
In 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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A comprehensive theory of representation for mathematics education

The Journal of Mathematical Behavior, 1998
Representation 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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To the mathematical theory of representation of information in neural nets

Ukrainian Mathematical Journal, 1995
We 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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Mathematical Representation for Wald’s Compartment Theory*

Journal of the Optical Society of America, 1963
G. 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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