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» On a Generalization of the Stone-Weierstrass Theorem
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ACS
2002
13 years 4 months ago
On a Generalization of the Stone-Weierstrass Theorem
Abstract. A categorical version of the famous theorem of Stone and Weierstrass is formulated and studied in detail. Several applications and examples are given.
Dirk Hofmann
EUSFLAT
2009
245views Fuzzy Logic» more  EUSFLAT 2009»
13 years 2 months ago
Universal Approximation of a Class of Interval Type-2 Fuzzy Neural Networks Illustrated with the Case of Non-linear Identificati
Neural Networks (NN), Type-1 Fuzzy Logic Systems (T1FLS) and Interval Type-2 Fuzzy Logic Systems (IT2FLS) are universal approximators, they can approximate any non-linear function....
Juan R. Castro, Oscar Castillo, Patricia Melin, An...

Lecture Notes
841views
15 years 2 months ago
General Equilibrium Theory
These lecture notes cover several topics such as Topological Space, Metric Space, Convex Sets, Correspondences, Maximum Theorem, KKM Theorem, Existence of Maximal Element, Selectio...
Nicholas C. Yannelis
JOTA
2011
97views more  JOTA 2011»
12 years 7 months ago
Generalized Variational Relation Problems with Applications
In this paper, we first obtain an existence theorem of the solutions for a variational relation problem. An existence theorem for a variational inclusion problem, a KKM theorem wi...
Mircea Balaj, Lai-Jiu Lin
CORR
2010
Springer
72views Education» more  CORR 2010»
13 years 2 months ago
A Generalized Sampling Theorem for Reconstructions in Arbitrary Bases
—We present a generalized sampling theorem allowing reconstructions in arbitrary bases. The classical Shannon Sampling Theorem is a special case of our theorem. Specifically, we...
Ben Adcock, Anders C. Hansen