#fourier transform

[kneadingmaths]

[wolframcarbide]

[feminist-space]

[smath-or-pass]

Fourier transform

Fourier Transform

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Voting ended onJan 19, 2025

[transcendental-dustpan]

@climbingbitch (in red) is so funny I love her

[noosphe-re]

Basic schematic of Fourier transform spectroscopy with bandpass sampling (BPS-FTS) (Investigating the Influence of the Diffraction Effect on Fourier Transform Spectroscopy with Bandpass Sampling)

[ebajous-curves]

I wrote a crude parser for AsciiMath formulas to be able to get some Fourier series art from wolframalpha and draw them on oscillosope.

Here is the Konata Izumi-like curve :3 (not mine)

[isomorphismes]

Test functions and [tempered] distributions require the notion of topological vector space … distributions can be traced back to Green's functions in the 1830’s to solve ordinary differential equations … the 1936 work of Sergei Sobolev on hyperbolic PDE’s.

Laurent Schwartz introduced the term "distribution" by analogy with a distribution of electrical charge, possibly including not only point charges but also dipoles and so on.

tempered distribution

topological vector space

(^ if there is a dipole, there must be a notion of subtraction, hence the need for a vector, and to speak of this very conceptually, use a TVS)