Flat function
id:
flat-function-198-9972564
title:
Flat function
text:
In mathematics, especially real analysis, a real function is flat at x 0 if all its derivatives at x 0 exist and equal 0. A function that is flat at x 0 is not analytic at x 0 unless it is constant in a neighbourhood of x 0 . An example of a flat function at 0 is the function such that f = 0 and f = e − 1 / x 2 for x ≠ 0. The function need not be flat at just one point. Trivially, constant functions on R are flat everywhere. But there are also other, less trivial, examples; for example, the func
brand slug:
wiki
category slug:
encyclopedia
description:
Function whose all derivatives vanish at a point
original url:
https://en.wikipedia.org/wiki/Flat_function
date created:
date modified:
2024-01-26T15:20:28Z
main entity:
{"identifier":"Q5457836","url":"https://www.wikidata.org/entity/Q5457836"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/ec/FBN_exp%28-1x2%29.jpeg","width":400,"height":400}
fields total:
13
integrity:
15