منابع مشابه
Universal Functions
A function of two variables F (x, y) is universal if for every function G(x, y) there exists functions h(x) and k(y) such that G(x, y) = F (h(x), k(y)) for all x, y. Sierpiński showed that assuming the Continuum Hypothesis there exists a Borel function F (x, y) which is universal. Assuming Martin’s Axiom there is a universal function of Baire class 2. A universal function cannot be of Baire cla...
متن کاملUniversal Approximator Property of the Space of Hyperbolic Tangent Functions
In this paper, first the space of hyperbolic tangent functions is introduced and then the universal approximator property of this space is proved. In fact, by using this space, any nonlinear continuous function can be uniformly approximated with any degree of accuracy. Also, as an application, this space of functions is utilized to design feedback control for a nonlinear dynamical system.
متن کاملRestricted integer partition functions
For two sets A and M of positive integers and for a positive integer n, let p(n,A,M) denote the number of partitions of n with parts in A and multiplicities in M , that is, the number of representations of n in the form n = ∑ a∈Amaa where ma ∈M ∪{0} for all a, and all numbers ma but finitely many are 0. It is shown that there are infinite sets A and M so that p(n,A,M) = 1 for every positive int...
متن کاملComplexity-Restricted Advice Functions
We consider uniform subclasses of the nonuniform complexity classes de ned by Karp and Lipton via the notion of advice functions These subclasses are obtained by restricting the complexity of computing correct advice We also investigate the e ect of allowing advice functions of limited complexity to depend on the input rather than on the input s length Among other results using the notions desc...
متن کاملRestricted dissimilarity functions and penalty functions
In this work we introduce the definition of restricted dissimilarity functions and we link it with some other notions, such as metrics. In particular, we also show how restricted dissimilarity functions can be used to build penalty functions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2002
ISSN: 0021-9045
DOI: 10.1006/jath.2001.3640