Concept information
Terme préférentiel
Cantor function
Définition
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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 générique
Traductions
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français
URI
http://data.loterre.fr/ark:/67375/PSR-MJBMXT00-W
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