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FRACTIONAL DIMENSION [4 records]
Record 1 - internal organization data 1989-12-18
Record 1, English
Record 1, Subject field(s)
- Mathematics
- Computer Graphics
Record 1, Main entry term, English
- Besicovitch measure
1, record 1, English, Besicovitch%20measure
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
- Hausdorff-Besicovitch measure 2, record 1, English, Hausdorff%2DBesicovitch%20measure
correct
Record 1, Textual support, English
Record number: 1, Textual support number: 1 DEF
A non-zero but finite s-dimensional Hausdorff measure. 2, record 1, English, - Besicovitch%20measure
Record number: 1, Textual support number: 1 OBS
A fractal measure devised in 1935 by Besicovitch based on Felix Hausdorff's work(1919) on non-integer dimensions for geometrically very complex objects. See fractional dimension, fractal dimension, Hausdorff dimension. 3, record 1, English, - Besicovitch%20measure
Record 1, French
Record 1, Domaine(s)
- Mathématiques
- Infographie
Record 1, Main entry term, French
- mesure de Besicovitch
1, record 1, French, mesure%20de%20Besicovitch
correct, feminine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
- mesure de Haussdorff-Besicovitch 1, record 1, French, mesure%20de%20Haussdorff%2DBesicovitch
correct, feminine noun
- mesure fractale de Besicovitch 1, record 1, French, mesure%20fractale%20de%20Besicovitch
correct, feminine noun
Record 1, Textual support, French
Record number: 1, Textual support number: 1 CONT
Dans le contexte triadique de Cantor, partons d'une masse distribuée sur (0,1) avec la densité uniforme égale à 1. Effacer le tiers central divise cette masse en parties égales .. réparties avec les densités 3/2, o, et 3/2 [...] Quand on aura répété la procédure à l'infini, la masse formera ce que nous allons appeler une mesure de Besicovitch [...] Il est clair, pour commencer, qu'aucun intervalle ouvert ne constitue une intermission absolue. 1, record 1, French, - mesure%20de%20Besicovitch
Record 1, Spanish
Record 1, Textual support, Spanish
Record 2 - internal organization data 1989-08-22
Record 2, English
Record 2, Subject field(s)
- Mathematics
- Computer Graphics
Record 2, Main entry term, English
- self-similar hierarchy
1, record 2, English, self%2Dsimilar%20hierarchy
correct
Record 2, Abbreviations, English
Record 2, Synonyms, English
Record 2, Textual support, English
Record number: 2, Textual support number: 1 CONT
If the total system incorporates a self similar hierarchy, everything happens "as if" the architect were working in a space of fractional dimension. 1, record 2, English, - self%2Dsimilar%20hierarchy
Record 2, French
Record 2, Domaine(s)
- Mathématiques
- Infographie
Record 2, Main entry term, French
- hiérarchie à homothétie interne
1, record 2, French, hi%C3%A9rarchie%20%C3%A0%20homoth%C3%A9tie%20interne
correct, feminine noun
Record 2, Abbreviations, French
Record 2, Synonyms, French
- hiérarchie autosimilaire 2, record 2, French, hi%C3%A9rarchie%20autosimilaire
correct, feminine noun
Record 2, Textual support, French
Record number: 2, Textual support number: 1 OBS
Voir autosimilarité, auto-similarité. 2, record 2, French, - hi%C3%A9rarchie%20%C3%A0%20homoth%C3%A9tie%20interne
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
- fractional Brownian trail
1, record 3, English, fractional%20Brownian%20trail
correct
Record 3, Abbreviations, English
Record 3, Synonyms, English
Record 3, Textual support, English
Record number: 3, Textual support number: 1 CONT
Fractional Brownian trails... constitutes an example of a statistically self similar fractal curve with the dimension D=1/0. 900=1. 1111. Its coordinate functions are independent fractional Brownian functions of exponent H=0. 9000, which implies that self intersections, though not strictly prohibited, are greatly discouraged by forcing the curve to be very persistent. 1, record 3, English, - fractional%20Brownian%20trail
Record 3, French
Record 3, Domaine(s)
- Mathématiques
- Infographie
Record 3, Main entry term, French
- vol brownien fractionnaire
1, record 3, French, vol%20brownien%20fractionnaire
correct, masculine noun
Record 3, Abbreviations, French
Record 3, Synonyms, French
Record 3, Textual support, French
Record number: 3, Textual support number: 1 CONT
vol brownien fractionnaire très persistant. Ce dessin constitue un exemple de courbe fractale, à homothétie statistique interne, dont la dimension est D=1/0,9=1,1 et pour laquelle la formation de boules sans être interdite - a été très fortement découragée, en imposant à cette courbe d'être très persistante. 1, record 3, French, - vol%20brownien%20fractionnaire
Record 3, Spanish
Record 3, Textual support, Spanish
Record 4 - internal organization data 1989-06-30
Record 4, English
Record 4, Subject field(s)
- Mathematics
- Computer Graphics
Record 4, Main entry term, English
- fractional dimension space
1, record 4, English, fractional%20dimension%20space
correct
Record 4, Abbreviations, English
Record 4, Synonyms, English
- space of fractional dimension 2, record 4, English, space%20of%20fractional%20dimension
correct
Record 4, Textual support, English
Record number: 4, Textual support number: 1 CONT
Moreover, if the total system incorporates a self similar hierarchy, everything happens "as if" the architect were working in a space of fractional dimension. 2, record 4, English, - fractional%20dimension%20space
Record 4, French
Record 4, Domaine(s)
- Mathématiques
- Infographie
Record 4, Main entry term, French
- espace de dimension fractionnaire
1, record 4, French, espace%20de%20dimension%20fractionnaire
correct, masculine noun
Record 4, Abbreviations, French
Record 4, Synonyms, French
Record 4, Textual support, French
Record 4, Spanish
Record 4, Textual support, Spanish
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