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431,644
On the mathematical foundations of learning
- Bulletin of the American Mathematical Society
, 2002
"... The problem of learning is arguably at the very core of the problem of intelligence, both biological and arti cial. T. Poggio and C.R. Shelton ..."
Abstract
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Cited by 329 (12 self)
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The problem of learning is arguably at the very core of the problem of intelligence, both biological and arti cial. T. Poggio and C.R. Shelton
The Mathematical Foundations of Decision Theory
"... We establish the conditions that must be satisfied for the mathematical operations of linear algebra and calculus to be applicable. The mathematical foundations of decision theory and related theories depend on these conditions which have not been correctly identified in the classical literature. Op ..."
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We establish the conditions that must be satisfied for the mathematical operations of linear algebra and calculus to be applicable. The mathematical foundations of decision theory and related theories depend on these conditions which have not been correctly identified in the classical literature
On the Mathematical Foundations of Economic Theory
, 2007
"... We establish the conditions that must be satisfied for the mathematical operations of linear algebra and calculus to be applicable. The mathematical foundations of the social sciences including economic theory, utility theory, and game theory, depend on these conditions which have not been correctly ..."
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Cited by 4 (4 self)
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We establish the conditions that must be satisfied for the mathematical operations of linear algebra and calculus to be applicable. The mathematical foundations of the social sciences including economic theory, utility theory, and game theory, depend on these conditions which have not been
Mathematical Foundations and Notation of RESOLVE
, 1994
"... The RESOLVE approach to reusable component-based software engineering is mathematically-based. This paper discusses the logical foundations and terminology of RESOLVE, the built-in RESOLVE notation for writing mathematics, and the RESOLVE mechanisms that support description of mathematics that has n ..."
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The RESOLVE approach to reusable component-based software engineering is mathematically-based. This paper discusses the logical foundations and terminology of RESOLVE, the built-in RESOLVE notation for writing mathematics, and the RESOLVE mechanisms that support description of mathematics that has
Mathematical Foundations of the Slide Rule
, 2011
"... We present a mathematical principle that provides a precise formulation for the types of functions a slide rule can be designed to calculate. In addition to providing the mathematical foundations for how and why a slide rule works, this principle establishes its mathematical possibilities and limits ..."
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We present a mathematical principle that provides a precise formulation for the types of functions a slide rule can be designed to calculate. In addition to providing the mathematical foundations for how and why a slide rule works, this principle establishes its mathematical possibilities
NOTES ON THE MATHEMATICAL FOUNDATIONS OF ANALOGUE
, 2010
"... ♣ The issues discussed in this paper are based on work that has been central to the Computable Economics research project initiated by Stefano Zambelli and myself over a quarter of a century ago. Two of the central mathematical concepts that have informed the theoretical framework of Computable Eco ..."
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for those very infelicities. Digital computing has its mathematical foundations in (classical) recursion theory and constructive mathematics. The implicit, working, assumption of those who practice the noble art of analog computing may well be that the mathematical foundations of their subject is as sound
The Mathematical Foundation of the proof assistant Sparkle
"... This report presents the mathematical foundation of the proof assistant Sparkle, which is dedicated to the lazy functional language Clean. The mathematical foundation provides a formalization of the programming, logic and proof languages that are supported by Sparkle. Furthermore, it formalizes the ..."
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Cited by 2 (1 self)
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This report presents the mathematical foundation of the proof assistant Sparkle, which is dedicated to the lazy functional language Clean. The mathematical foundation provides a formalization of the programming, logic and proof languages that are supported by Sparkle. Furthermore, it formalizes
Appendix A Mathematical foundations
"... Our goal here is to present the basic results and definitions from linear algebra, probability theory, information theory and computational complexity that serve as the mathematical foundations for pattern recognition. We will try to give intuitive insight whenever appropriate, but do not attempt to ..."
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Our goal here is to present the basic results and definitions from linear algebra, probability theory, information theory and computational complexity that serve as the mathematical foundations for pattern recognition. We will try to give intuitive insight whenever appropriate, but do not attempt
Results 1 - 10
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431,644
