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Results tagged with ca.classical-analysis-and-odes
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user 1229
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
4
votes
Accepted
Regarding Kolmogorov's Superposition Theorem
If I understand correctly, that doesn’t seem possible. If the inner functions are independent of $ q $, then the sum of the outer functions collapses to a single function $ \Phi $ with
$$
\Phi(\cdot) …
- 2,745
8
votes
3
answers
2k
views
Finitely additive translation invariant measure on $\mathcal P(\mathbb R)$
We know that a countably additive translation invariant measure with $\mu([0,1]) = 1$ cannot be defined on the power set of $\mathbb R$. This is because $[0,1]$ can be partitioned into countably many …
- 2,745