Übersetzung für 'Weierstrass function' von Englisch nach Deutsch

Weierstrass function

Weierstraß-Funktion {f}math.

• This example demonstrates that complex functions are more well-behaved than real functions, since the uniform limit of analytic functions on a real interval need not even be differentiable (see Weierstrass function).
• In particular, there exist anti-symmetric support functions based on the Weierstrass function whose corresponding projective hedgehogs are fractal curves that are continuous but nowhere differentiable and have infinite length.
• Examples in two variables include Jacobi theta functions, the Weierstrass ℘ function, and Fourier–Jacobi coefficients of Siegel modular forms of genus 2.
• Important elliptic functions are Jacobi elliptic functions and the Weierstrass [...] -function.
• The Weierstrass [...] -function is constructed exactly in such a way that it has a pole of the order two at each lattice point.

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