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WEIERSTRASS FUNCTION [3 records]
Record 1 - internal organization data 1994-04-28
Record 1, English
Record 1, Subject field(s)
- Mathematics
- Computer Graphics
Record 1, Main entry term, English
- Weierstrass function
1, record 1, English, Weierstrass%20function
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
Record 1, Textual support, English
Record number: 1, Textual support number: 1 DEF
Used in the calculus of variations, these determine functions satisfying the Euler Lagrange equation and Jacobi’s condition while maximizing a given definite integral. 2, record 1, English, - Weierstrass%20function
Record 1, French
Record 1, Domaine(s)
- Mathématiques
- Infographie
Record 1, Main entry term, French
- fonction de Weierstrass
1, record 1, French, fonction%20de%20Weierstrass
correct, feminine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
Record 1, Textual support, French
Record 1, Spanish
Record 1, Textual support, Spanish
Record 2 - internal organization data 1991-05-16
Record 2, English
Record 2, Subject field(s)
- Mathematics
Record 2, Main entry term, English
- Weierstrass modified-Gauss function
1, record 2, English, Weierstrass%20modified%2DGauss%20function
correct
Record 2, Abbreviations, English
Record 2, Synonyms, English
- Weierstrass-Gauss function 1, record 2, English, Weierstrass%2DGauss%20function
correct
Record 2, Textual support, English
Record number: 2, Textual support number: 1 CONT
The next step toward realism and applicability is taken when the extended Weierstrass function is randomized. The simplest and most intrinsic method consists in multiplying its Fourier coefficients by independent complex Gaussian factors of zero mean and unit variance. The real and imaginary parts of the result deserve to be called Weierstrass(modified)-Gauss functions. In several ways, they are approximate fractional Brown functions. 1, record 2, English, - Weierstrass%20modified%2DGauss%20function
Record 2, French
Record 2, Domaine(s)
- Mathématiques
Record 2, Main entry term, French
- fonction modifiée de Weierstrass-Gauss
1, record 2, French, fonction%20modifi%C3%A9e%20de%20Weierstrass%2DGauss
correct, proposal, feminine noun
Record 2, Abbreviations, French
Record 2, Synonyms, French
- fonction de Weierstrass-Gauss 1, record 2, French, fonction%20de%20Weierstrass%2DGauss
correct, proposal, feminine noun
Record 2, Textual support, French
Record 2, Spanish
Record 2, Textual support, Spanish
Record 3 - internal organization data 1989-07-21
Record 3, English
Record 3, Subject field(s)
- Mathematics
- Computer Graphics
Record 3, Main entry term, English
- self-inverse fractal
1, record 3, English, self%2Dinverse%20fractal
correct
Record 3, Abbreviations, English
Record 3, Synonyms, English
Record 3, Textual support, English
Record number: 3, Textual support number: 1 CONT
The first self-inverse fractals were introduced in the 1880's by Henri Poincarré and Felix Klein, not long after the discovery by Weierstrass of continuous but not differentiable function, roughly at the same time as the Cantor sets, and well before the Peano and Koch curves and their scaling kin. 1, record 3, English, - self%2Dinverse%20fractal
Record 3, French
Record 3, Domaine(s)
- Mathématiques
- Infographie
Record 3, Main entry term, French
- fractale auto-inversée
1, record 3, French, fractale%20auto%2Dinvers%C3%A9e
proposal, feminine noun
Record 3, Abbreviations, French
Record 3, Synonyms, French
Record 3, Textual support, French
Record 3, Spanish
Record 3, Textual support, Spanish
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