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MINKOWSKI-BOULIGAND DIMENSION [2 records]
Record 1 - internal organization data 1995-10-16
Record 1, English
Record 1, Subject field(s)
- Mathematics
- Computer Graphics
Record 1, Main entry term, English
- Minkowski-Bouligand dimension
1, record 1, English, Minkowski%2DBouligand%20dimension
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
- Bouligand dimension 2, record 1, English, Bouligand%20dimension
correct
Record 1, Textual support, English
Record number: 1, Textual support number: 1 DEF
A nontrivial dimension introduced by H. Minkowski for different purposes and extended to fractals by G. Bouligand. 1, record 1, English, - Minkowski%2DBouligand%20dimension
Record number: 1, Textual support number: 1 CONT
The definition of length based on the coastline being covered by a tape of width 2 implements an idea of Cantor and Minkowski, and the corresponding dimension is due to Bouligand. 3, record 1, English, - Minkowski%2DBouligand%20dimension
Record 1, French
Record 1, Domaine(s)
- Mathématiques
- Infographie
Record 1, Main entry term, French
- dimension de Bouligand
1, record 1, French, dimension%20de%20Bouligand
correct, feminine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
Record 1, Textual support, French
Record number: 1, Textual support number: 1 CONT
Il y a équivalence de la dimension de Bouligand globale avec la capacité supérieure de Kolmogorov. Lorsque la dimension de Bouligand locale prend une valeur unique sur tout l'ensemble A, cette valeur est la dimension de Hausdorff de A. 2, record 1, French, - dimension%20de%20Bouligand
Record number: 1, Textual support number: 2 CONT
La méthode des mailles utiles de Bouligand se prête le mieux à l'évaluation de l'étendue des courbes irrégulières. La dimension de Bouligand (ou de Kolmogorov, qui lui est équivalente) peut s'estimer simplement par cette méthode. 3, record 1, French, - dimension%20de%20Bouligand
Record 1, Spanish
Record 1, Textual support, Spanish
Record 2 - internal organization data 1994-03-10
Record 2, English
Record 2, Subject field(s)
- Mathematics
- Computer Graphics
Record 2, Main entry term, English
- Minkowski Bouligand dimension
1, record 2, English, Minkowski%20Bouligand%20dimension
correct
Record 2, Abbreviations, English
Record 2, Synonyms, English
- Minkowski-Bouligand dimension 2, record 2, English, Minkowski%2DBouligand%20dimension
correct
Record 2, Textual support, English
Record 2, French
Record 2, Domaine(s)
- Mathématiques
- Infographie
Record 2, Main entry term, French
- dimension de Minkowski-Bouligand
1, record 2, French, dimension%20de%20Minkowski%2DBouligand
correct, feminine noun
Record 2, Abbreviations, French
Record 2, Synonyms, French
Record 2, Textual support, French
Record number: 2, Textual support number: 1 CONT
L'extension de toutes ces définitions aux valeurs non entières de d est toute naturelle; elle est due à Georges Bouligand. En d'autres termes, s'il existe une valeur D de d, telle que le contenu supérieur de S s'annule pour d plus grand que D, et que le contenu inférieur diverge pour d plus petit que D, cette valeur D peut être appelée dimension de Minkowski-Bouligand de S. 1, record 2, French, - dimension%20de%20Minkowski%2DBouligand
Record 2, Spanish
Record 2, Textual support, Spanish
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