Fabius function
id:
fabius-function-252-8678274
title:
Fabius function
text:
In mathematics, the Fabius function is an example of an infinitely differentiable function that is nowhere analytic, found by Jaap Fabius (1966). It was also written down as the Fourier transform of by Børge Jessen and Aurel Wintner (1935). The Fabius function is defined on the unit interval, and is given by the cumulative distribution function of where the ξn are independent uniformly distributed random variables on the unit interval. This function satisfies the initial condition f = 0 , the sy
brand slug:
wiki
category slug:
encyclopedia
description:
Nowhere analytic, infinitely differentiable function
original url:
https://en.wikipedia.org/wiki/Fabius_function
date created:
date modified:
2023-03-26T15:34:14Z
main entity:
{"identifier":"Q5427896","url":"https://www.wikidata.org/entity/Q5427896"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/b/b8/Mplwp_Fabius_function.svg","width":600,"height":400}
fields total:
13
integrity:
15