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FRACTALE AUTOAFFINE [3 records]
Record 1 - internal organization data 2005-01-11
Record 1, English
Record 1, Subject field(s)
- Mathematics
- Computer Graphics
Record 1, Main entry term, English
- fractal
1, record 1, English, fractal
correct, noun
Record 1, Abbreviations, English
Record 1, Synonyms, English
- fractal shape 2, record 1, English, fractal%20shape
correct
Record 1, Textual support, English
Record number: 1, Textual support number: 1 DEF
A geometrical shape whose structure is such that magnification by a given factor reproduces the original object. 3, record 1, English, - fractal
Record number: 1, Textual support number: 2 DEF
In computer graphics, irregular, lifelike landscapes and branching forms produced through simple mathematical formulas. 4, record 1, English, - fractal
Record number: 1, Textual support number: 1 CONT
As several hundred particles accumulate one by one in this way, the collection slowly develops the irregular branches and tendrils characteristic of fractal shapes. 2, record 1, English, - fractal
Record 1, French
Record 1, Domaine(s)
- Mathématiques
- Infographie
Record 1, Main entry term, French
- fractale
1, record 1, French, fractale
correct, feminine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
- forme fractale 2, record 1, French, forme%20fractale
correct
Record 1, Textual support, French
Record number: 1, Textual support number: 1 DEF
Forme géométrique non linéaire, souvent engendrée par une méthode itérative, qui préserve les mêmes schémas d’irrégularité des échelles les plus grandes aux plus petites et dont l’aire décroît au fur et à mesure que son périmètre s’allonge. 3, record 1, French, - fractale
Record number: 1, Textual support number: 1 OBS
Objet fractal remplace le terme fractale lorsqu’il faut préciser qu’il s’agit d’un objet naturel. Objet naturel qu’il est raisonnable et utile de représenter mathématiquement par une fractale. 4, record 1, French, - fractale
Record number: 1, Textual support number: 2 OBS
Pour le physicien, un objet ne sera considéré comme fractal que dans certaines limites de longueur. Pour les agrégats, il s’agit de longueurs grandes devant la taille des microagrégats et petites devant la taille de l’agrégat lui-même. 5, record 1, French, - fractale
Record number: 1, Textual support number: 3 OBS
Néologisme créé vers 1975 par B. Mandelbrot. Le terme avait été créé au masculin mais est employé au féminin surtout pour éviter le pluriel «fractals». 3, record 1, French, - fractale
Record number: 1, Textual support number: 1 PHR
Une fractale s’amasse, s’associe, croît, décroît, diminue en densité, émerge de la rétroaction d’une équation, se fragmente, grossit, itère vers le chaos/ le désordre/ la turbulence, modélise des objets/ des phénomènes naturels/ des propriétés des matériaux, représente des images. 3, record 1, French, - fractale
Record number: 1, Textual support number: 2 PHR
amplifier une fractale, créer une fractale par itération d’équation/ de nombre complexe; déformer, développer, engendrer, fabriquer, former, générer, obtenir une fractale en répétant une transformation. 3, record 1, French, - fractale
Record number: 1, Textual support number: 3 PHR
fractale abstraite, affine, aléatoire, anisotrope, arboriforme, autoaffine, auto-inversée, autosimilaire, cirriforme, complexe, conceptuelle, digitiforme, dyadique, fermée, filamenteuse, invariante, lacunaire, laplacienne, linéaire, mathématique, non lacunaire, non linéaire, non uniforme, ouverte, physique, quadratique, scalante, simple, spatiale, spectrale, spongieuse, squameuse, statistique, stochastique, stratifiée, symétrique, temporelle, tétradique, touffue, triadique, uniforme. 3, record 1, French, - fractale
Record number: 1, Textual support number: 4 PHR
fractale de Lévy, de structure, de texture. 3, record 1, French, - fractale
Record number: 1, Textual support number: 5 PHR
adresse, enchevêtrement de fractales, espace, famille, germe, graine, longueur infinie de fractales, théorie des fractales. 3, record 1, French, - fractale
Record 1, Spanish
Record 1, Textual support, Spanish
Record 2 - internal organization data 1994-02-03
Record 2, English
Record 2, Subject field(s)
- Mathematics
- Computer Graphics
Record 2, Main entry term, English
- self-affine
1, record 2, English, self%2Daffine
correct
Record 2, Abbreviations, English
Record 2, Synonyms, English
Record 2, Textual support, English
Record number: 2, Textual support number: 1 CONT
... geometric figures whose parts can be brought into correspondence with the whole by scaling different directions by different factors are called self-affine. 2, record 2, English, - self%2Daffine
Record 2, French
Record 2, Domaine(s)
- Mathématiques
- Infographie
Record 2, Main entry term, French
- autoaffine
1, record 2, French, autoaffine
correct, adjective
Record 2, Abbreviations, French
Record 2, Synonyms, French
Record 2, Textual support, French
Record number: 2, Textual support number: 1 DEF
Dont les éléments constitutifs restent invariables sous diverses transformations affines. 2, record 2, French, - autoaffine
Record number: 2, Textual support number: 1 OBS
La courbe de Kieswetter est autoaffine. Sous l’effet d’une turbulence, des sphères autosimilaires deviennent des ellipsoïdes autoaffines. 2, record 2, French, - autoaffine
Record number: 2, Textual support number: 1 PHR
courbe, ensemble, forme, fractale, rectangle, structure autoaffine. 2, record 2, French, - autoaffine
Record 2, Spanish
Record 2, Textual support, Spanish
Record 3 - internal organization data 1989-09-20
Record 3, English
Record 3, Subject field(s)
- Mathematics
- Computer Graphics
Record 3, Main entry term, English
- self-affine fractal
1, record 3, English, self%2Daffine%20fractal
correct
Record 3, Abbreviations, English
Record 3, Synonyms, English
Record 3, Textual support, English
Record number: 3, Textual support number: 1 CONT
One well-known but very special example of self-affine fractal is the record of Wiener's scalar Brownian motion, which is the random process with independent and stationary Gaussian increments. 1, record 3, English, - self%2Daffine%20fractal
Record 3, French
Record 3, Domaine(s)
- Mathématiques
- Infographie
Record 3, Main entry term, French
- fractale à affinité interne
1, record 3, French, fractale%20%C3%A0%20affinit%C3%A9%20interne
correct, masculine noun
Record 3, Abbreviations, French
Record 3, Synonyms, French
- fractal autoaffine 1, record 3, French, fractal%20autoaffine
correct, see observation, masculine noun
- fractale autoaffine 2, record 3, French, fractale%20autoaffine
feminine noun
- fractale auto-affine 2, record 3, French, fractale%20auto%2Daffine
feminine noun
Record 3, Textual support, French
Record number: 3, Textual support number: 1 CONT
Maintenant que je rédige ce propos (automne 1983), je me trouve également à travailler aux fractales à affinité interne. 1, record 3, French, - fractale%20%C3%A0%20affinit%C3%A9%20interne
Record number: 3, Textual support number: 1 OBS
Le terme fractal est parfois retrouvé au masculin. 2, record 3, French, - fractale%20%C3%A0%20affinit%C3%A9%20interne
Record 3, Spanish
Record 3, Textual support, Spanish
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