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HAUSDORFF S-DIMENSIONAL MEASURE [3 records]
Record 1 - internal organization data 2001-03-15
Record 1, English
Record 1, Subject field(s)
- Mathematics
- Computer Graphics
Record 1, Main entry term, English
- Hausdorff s-dimensional measure
1, record 1, English, Hausdorff%20s%2Ddimensional%20measure
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
- s-dimensional Hausdorff measure 2, record 1, English, s%2Ddimensional%20Hausdorff%20measure
correct
Record 1, Textual support, English
Record number: 1, Textual support number: 1 CONT
The definition of s-dimensional Hausdorff measure is similar to that of n-dimensional Lebesgue measure except that diameters to the power s are used in the sums. 2, record 1, English, - Hausdorff%20s%2Ddimensional%20measure
Record 1, French
Record 1, Domaine(s)
- Mathématiques
- Infographie
Record 1, Main entry term, French
- mesure de Hausdorff de dimension s
1, record 1, French, mesure%20de%20Hausdorff%20de%20dimension%20s
proposal, feminine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
Record 1, Textual support, French
Record number: 1, Textual support number: 1 CONT
Nous montrons l'analyticité d'un ensemble q-concave contenu dans un espace complexe de dimension n et de (2n-2q-mesure de Hausdorff localement finie. 2, record 1, French, - mesure%20de%20Hausdorff%20de%20dimension%20s
Record 1, Spanish
Record 1, Textual support, Spanish
Record 2 - internal organization data 2000-08-29
Record 2, English
Record 2, Subject field(s)
- Mathematics
- Computer Graphics
Record 2, Main entry term, English
- Hausdorff measure
1, record 2, English, Hausdorff%20measure
correct
Record 2, Abbreviations, English
Record 2, Synonyms, English
- Hausdorff metric 2, record 2, English, Hausdorff%20metric
correct
Record 2, Textual support, English
Record number: 2, Textual support number: 1 CONT
As has been noted, such spaces are called metric, hence the Hausdorff measure is a metric concept. 3, record 2, English, - Hausdorff%20measure
Record number: 2, Textual support number: 1 OBS
See Besicovitch measure, s-dimensional Hausdorff measure and p-dimensional Hausdorff measure. 4, record 2, English, - Hausdorff%20measure
Record 2, French
Record 2, Domaine(s)
- Mathématiques
- Infographie
Record 2, Main entry term, French
- mesure de Hausdorff
1, record 2, French, mesure%20de%20Hausdorff
correct, feminine noun
Record 2, Abbreviations, French
Record 2, Synonyms, French
Record 2, Textual support, French
Record number: 2, Textual support number: 1 CONT
«La mesure de Hausdorff» peut être soit dégénérée (nulle ou infinie), soit non dégénérée; elle n'est intéressante que dans ce dernier cas, ce qui recouvre en particulier l'ensemble de Cantor, la courbe de von Koch et l'univers de Fournier. 2, record 2, French, - mesure%20de%20Hausdorff
Record 2, Spanish
Record 2, Textual support, Spanish
Record 3 - internal organization data 1989-12-18
Record 3, English
Record 3, Subject field(s)
- Mathematics
- Computer Graphics
Record 3, Main entry term, English
- Besicovitch measure
1, record 3, English, Besicovitch%20measure
correct
Record 3, Abbreviations, English
Record 3, Synonyms, English
- Hausdorff-Besicovitch measure 2, record 3, English, Hausdorff%2DBesicovitch%20measure
correct
Record 3, Textual support, English
Record number: 3, Textual support number: 1 DEF
A non-zero but finite s-dimensional Hausdorff measure. 2, record 3, English, - Besicovitch%20measure
Record number: 3, 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 3, English, - Besicovitch%20measure
Record 3, French
Record 3, Domaine(s)
- Mathématiques
- Infographie
Record 3, Main entry term, French
- mesure de Besicovitch
1, record 3, French, mesure%20de%20Besicovitch
correct, feminine noun
Record 3, Abbreviations, French
Record 3, Synonyms, French
- mesure de Haussdorff-Besicovitch 1, record 3, French, mesure%20de%20Haussdorff%2DBesicovitch
correct, feminine noun
- mesure fractale de Besicovitch 1, record 3, French, mesure%20fractale%20de%20Besicovitch
correct, feminine noun
Record 3, Textual support, French
Record number: 3, 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 3, French, - mesure%20de%20Besicovitch
Record 3, Spanish
Record 3, Textual support, Spanish
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