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On the mathematical foundations of learning

by Felipe Cucker, Steve Smale - 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 - Cited by 330 (12 self) - Add to MetaCart
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

Mathematical Foundations

by Daniel Cremers, Bastian Goldlücke, Thomas Pock
"... ..."
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The Mathematical Foundations of Decision Theory

by Jonathan Barzilai, Matthias Ehrgott, José Rui Figueira, Salvatore Greco (eds, Jonathan Barzilai, J. Barzilai
"... 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

Mathematical foundations of computed tomography

by Kennan T Smith , F Keinert - Appl. Optics , 1985
"... Along with a review of some of the mathematical foundations of computed tomography, the article contains new results on derivation of reconstruction formulas in a general setting encompassing all standard formulas; discussion and examples of the role of the point spread function with recipes for pr ..."
Abstract - Cited by 22 (1 self) - Add to MetaCart
Along with a review of some of the mathematical foundations of computed tomography, the article contains new results on derivation of reconstruction formulas in a general setting encompassing all standard formulas; discussion and examples of the role of the point spread function with recipes

On the Mathematical Foundations of Economic Theory

by Jonathan Barzilai, J. Barzilai , 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 ..."
Abstract - Cited by 4 (4 self) - Add to MetaCart
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

by Wayne Heym Timothy, Timothy J. Long, William F. Ogden, Bruce W. Weide , 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

by Joseph Pasquale , 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

by K. Vela Velupillai , 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 Foundations of Learning machines

by Nils J. Nilsson , 1990
"... ..."
Abstract - Cited by 45 (0 self) - Add to MetaCart
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The Mathematical Foundation of the proof assistant Sparkle

by Maarten De Mol, Marko Van Eekelen, Rinus Plasmeijer
"... 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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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
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