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JSYML
2002
92views more  JSYML 2002»
14 years 11 months ago
Groundwork for Weak Analysis
Abstract. This paper develops the very basic notions of analysis in a weak secondorder theory of arithmetic BTFA whose provably total functions are the polynomial time computable f...
António M. Fernandes, Fernando Ferreira
ESANN
2004
15 years 1 months ago
Theory and applications of neural maps
In this tutorial paper about neural maps we review the current state in theoretical aspects like mathematical treatment of convergence, ordering and topography, magnification and o...
Thomas Villmann, Udo Seiffert, Axel Wismüller
CORR
2006
Springer
81views Education» more  CORR 2006»
14 years 12 months ago
Multivariate Integral Perturbation Techniques - I (Theory)
We present a quasi-analytic perturbation expansion for multivariate N dimensional Gaussian integrals. The perturbation expansion is an infinite series of lower-dimensional integra...
Jan W. Dash
BSL
2006
73views more  BSL 2006»
14 years 12 months ago
Nonstandard arithmetic and reverse mathematics
We show that each of the five basic theories of second order arithmetic that play a central role in reverse mathematics has a natural counterpart in the language of nonstandard ari...
H. Jerome Keisler
ITA
2008
137views Communications» more  ITA 2008»
14 years 11 months ago
Weakly maximal decidable structures
We prove that there exists a structure M whose monadic second order theory is decidable, and such that the elementary theory of every expansion of M by a constant is undecidable. 1...
Alexis Bès, Patrick Cégielski