skip to main content
LOTERRE

LOTERRE

Mathematics (thesaurus)

Choisissez le vocabulaire dans lequel chercher

Langue des données

| español English
Aide à la recherche

Concept information

geometry > geometric figure > fractal > Cantor function
mathematical analysis > real analysis > real-valued function > Cantor function

Terme préférentiel

Cantor function  

Définition(s)

  • In mathematics, the Cantor function is an example of a function that is continuous, but not absolutely continuous. It is a notorious counterexample in analysis, because it challenges naive intuitions about continuity, derivative, and measure. Though it is continuous everywhere and has zero derivative almost everywhere, its value still goes from 0 to 1 as its argument reaches from 0 to 1. Thus, in one sense the function seems very much like a constant one which cannot grow, and in another, it does indeed monotonically grow.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Cantor_function)

Concept(s) générique(s)

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-MJBMXT00-W

Télécharger ce concept:

RDF/XML TURTLE JSON-LD Date de création 26/07/2023, dernière modif. 26/07/2023