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Results tagged with ca.classical-analysis-and-odes
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user 11131
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
5
votes
3
answers
2k
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Regarding Kolmogorov's Superposition Theorem
Hi Experts,
I have question regarding Kolmogorov's Superposition Theorem:
It is known that:
Let ${f(x_1,x_2,...,x_m): \Re^m :=[0,1]^m \to \Re}$ be an arbitrary multivariate continuous function. From …
- 103
0
votes
Regarding Kolmogorov's Superposition Theorem
Hi AgCl
Thank you very much for the reply. It helps to save my time and effort. As this topic is important to me, I want to think about my answer to you carefully. Allow me some days to draft a prope …
- 103
1
vote
0
answers
170
views
Regarding a Feature of Multivariate Real Function
Any real function can be expressed as a function of the sum of two monotonic real functions?
More precisely, for real function p(x, y), there exist continuous real functions P(x), h(x,y), g(x) such …
- 103