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CARATHEODORY MEASURE [1 record]

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Alphabetical list of terms

Record 1 2000-08-29

English

Subject field(s)
  • Mathematics
  • Computer Graphics
DEF

A positive, countably subadditive set function defined on the class of all subsets of a given set; used for defining measures.

OBS

Contrast with Besicovitch measure, compare to Lebesgue measure.

French

Domaine(s)
  • Mathématiques
  • Infographie
OBS

Terme retrouvé dans l'article de M. Bruneau : «Variation totale d'une fonction», publié dans Lecture Notes Math., 1974, numéro 413, page 346.

OBS

Carathéodory (Constantin), mathématicien grec (Berlin 1873-Munich 1950). Outre ses travaux en calcul des variations, il a fait des recherches en théorie des fonctions d'une variable complexe et d'une variable réelle. Dans cette dernière, il a vulgarisé la notion de mesure et la théorie générale de l'intégration (de Borel, Lebesgue) et inauguré l'axiomatisation moderne de la théorie.

Spanish

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