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Results tagged with ca.classical-analysis-and-odes
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user 13785
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
4
votes
Accepted
Can we approximate an arbitrary function as a (probably infinite) sum of bell shapes?
You can't approximate arbitrary square-integrable functions in the same way as a Fourier series or wavelet series, since your functions cannot make a basis for the function space.
But what you descri …
- 376
1
vote
Root estimation
When $k$ is very large and $x$ is large (based on the answers from Robert Israel and Pietro Majer I think we can say that each being large requires the other to be not too small), then $(1+1/x)^{k-1}\ …
- 376