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• Trigonometry
  ...ion math, trigonometry is the backbone of much of analysis. In particular, Fourier Analysis is written almost entirely in the language of the trigonometric fu ...e definition of trigonometry. Beyond the scope of contest math, the Taylor series definition of trigonometry is preferred in order to extend trigonometry to
  8 KB (1,228 words) - 15:40, 10 January 2025
• Finite Fourier Analysis
  (This is what I currently think of as motivation for finite Fourier analysis. If anyone can improve on this, please do.) ...e corresponding eigenvalues are <math>\Lambda_n = -(2 n \pi)^2</math>. In Fourier analysis, it can be proved that these eigenfunctions do in some sense form
  4 KB (724 words) - 19:15, 9 September 2006
• Analysis
  ...e he or she hears such words as [[limit]], [[integral]], [[derivative]], [[series]], [[function]] etc. ...generalizations of matrices) on the underlying spaces in which much of the fourier analysis takes place.
  2 KB (352 words) - 18:12, 8 February 2015
• Functional equation for the zeta function
  ...page presents a light-weighted approach which merely relies on the Fourier series for the first periodic [[Bernoulli polynomial]] that ...ma,t\in\mathbb R</math>. As a result, we say that the original [[Dirichlet series]] definition <math>\zeta(s)\triangleq\sum_{k=1}^\infty{1\over k^s}</math> c
  4 KB (682 words) - 03:56, 13 January 2021