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Was (wer) ist synthetical substitution - definition
TERM IN MATHEMATICS
Tile-substitution; Tile substitution
Weierstrass substitution
![(2/2) The tangent half-angle substitution illustrated as [[stereographic projection]] of the circle.](https://commons.wikimedia.org/wiki/Special:FilePath/WeierstrassSubstitution.svg?width=200 "(2/2) The tangent half-angle substitution illustrated as [[stereographic projection]] of the circle.")
TECHNIQUE TO INTEGRATE RATIONAL FUNCTIONS INVOLVING TRIGONOMETRIC FUNCTIONS.
Weierstraß substitution; Weierstrass substitution method; Weierstrass substitution formula; Weierstrass substitution formulas; Weierstrass' substitution; The Weierstrass Substitution; Weierstrass Substitution; The Weierstrass substitution; The tangent half-angle substitution; Tangent half angle substitution; Weierstrass substitution; Universal trigonometric substitution
In integral calculus, the Weierstrass substitution or tangent half-angle substitution is a method for evaluating integrals, which converts a rational function of trigonometric functions of x into an ordinary rational function of t by setting t = \tan (x /2).Weisstein, Eric W.
Substitution tiling
In geometry, a tile substitution is a method for constructing highly ordered tilings. Most importantly, some tile substitutions generate aperiodic tilings, which are tilings whose prototiles do not admit any tiling with translational symmetry.
Tangent half-angle substitution
TECHNIQUE TO INTEGRATE RATIONAL FUNCTIONS INVOLVING TRIGONOMETRIC FUNCTIONS.
Weierstraß substitution; Weierstrass substitution method; Weierstrass substitution formula; Weierstrass substitution formulas; Weierstrass' substitution; The Weierstrass Substitution; Weierstrass Substitution; The Weierstrass substitution; The tangent half-angle substitution; Tangent half angle substitution; Weierstrass substitution; Universal trigonometric substitution
In integral calculus, the tangent half-angle substitution – known in Russia as the universal trigonometric substitution, p. 379 sometimes misattributed as the Weierstrass substitution,James Stewart mentioned Karl Weierstrass when discussing the substitution in his popular 1987 calculus textbook:
Wikipedia
Substitution tiling
In geometry, a tile substitution is a method for constructing highly ordered tilings. Most importantly, some tile substitutions generate aperiodic tilings, which are tilings whose prototiles do not admit any tiling with translational symmetry. The most famous of these are the Penrose tilings. Substitution tilings are special cases of finite subdivision rules, which do not require the tiles to be geometrically rigid.
