/Subseries-WebGL

Plot approximations of subseries of holomorphic functions using WebGL entirely in your browser.

Primary LanguageJavaScript

Subseries-WebGL

Compute and plot evaluations of subseries of holomorphic functions using WebGL entirely in your browser.

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What are subseries?

A subseries is to a series what a subsequence is to a sequence.

Formally, given a series S=a0+a1+a2+..., a subseries of S is any series S'= b0+b1+b2+... where either bj=aj or bj=0.

A well known subseries of the harmonic series is the Kempner series.

Acknowledements

General technique of how to use WebGL for more general computing is based on this excellent blog post by Chris Wellons.

Taylor series expansion is normally handled by a python backend I wrote using Sympy. However, sometimes this backend server is unavailable, and when this happens, the Taylor series are computed using the math-expressions by kisonecat.