Results 241 to 250 of about 1,127,134 (301)
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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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Representation theory for default logic
Annals of Mathematics and Artificial Intelligence, 1997Default logic can be regarded as a mechanism to represent families of belief sets of a reasoning agent. As such, it is inherently second-order. In this paper, we study the problem of representability of a family of theories as the set of extensions of a ...
V. Marek, Jan Treur, M. Truszczynski
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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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Mathematical representation of articular surfaces using influence surface theory
KSME International Journal, 1998Many mathematical techniques have been developed to determine the geometry of articular joint surfaces, because of its so importance to the study of human joint biomechanics. However, a three-dimensional geometric model of the articular joint, which is essential to solid modelling, contact area measurement, and load bearing analyses, has not been well ...
Haksoo Han, Jungsoo Han
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Representation Theory and Random Point Processes
, 2004We discuss a connection between two areas of mathematics which until recently seemed to be rather distant from each other: (1) noncommutative harmonic analysis on groups and (2) some topics in probability theory related to random point processes.
A. Borodin, G. Olshanski
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The mathematical structure of rainfall representations: 2. A review of the theory of point processes
Water Resources Research, 1981Part 2 constitutes the second of three parts devoted to the mathematical structure of rainfall. An expository, yet current, treatment of those features of point process theory which are essential to descriptions of the hydrologic processes is developed. A general overview of this three‐part series is given in part 1.
Vijay K. Gupta, Edward C. Waymire
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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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Biomedical Engineering: Applications, Basis and Communications, 2002
In this paper, a new technique is developed for representing 3-D articular surface, which is based on an analogy method with application of the thin plate theory in the solid mechanics. The method is suitable to represent the scattered data points. On the other word, it does not involve the surface patches and measuring preparation in experimentally ...
Xishi Wang, Li Qun Zhang
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In this paper, a new technique is developed for representing 3-D articular surface, which is based on an analogy method with application of the thin plate theory in the solid mechanics. The method is suitable to represent the scattered data points. On the other word, it does not involve the surface patches and measuring preparation in experimentally ...
Xishi Wang, Li Qun Zhang
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Knowledge Representation in Mathematics a Case Study in Graph Theory
1983In this dissertation we present our work on representational languages for graph theory. We have shown that a knowledge representation can be structured to provide both expressive and procedural power. Our major research contributions are three. First we have defined representations of infinite sets and recommended that mathematical concepts be ...
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Application of Mathematics in the Representation of Images: From Geometry to Set Theory
2016Mathematics has long been applied to images, especially in a number of ways that rely on categorizing visible properties not just geometrically, that is, spatially, but also algebraically or quantitatively. In Part 1 I have discussed how fuzzy set theory has been applied to the empirical (Zadeh) and conceptual (Smith) understanding of linguistic ...
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