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Difference between revisions of "Fractional part of a number"

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A function defined for all real numbers <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f041/f041260/f0412601.png" /> and equal to the difference between <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f041/f041260/f0412602.png" /> and the [[Integral part|integral part]] (entier) <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f041/f041260/f0412603.png" /> of the number <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f041/f041260/f0412604.png" />. It is usually denoted by <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f041/f041260/f0412605.png" />. Thus, <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f041/f041260/f0412606.png" />; <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f041/f041260/f0412607.png" />; <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/f/f041/f041260/f0412608.png" />.
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A function defined for all real numbers $x$ and equal to the difference between $x$ and the [[Integral part|integral part]] (entier) $[x]$ of the number $x$. It is usually denoted by $\{x\}$. Thus, $\{1.03\}=0.03$;  $\{-1.25\}=0.75$; $\{\pi\}=0.1415\dots$.

Revision as of 11:36, 16 December 2012

A function defined for all real numbers $x$ and equal to the difference between $x$ and the integral part (entier) $[x]$ of the number $x$. It is usually denoted by $\{x\}$. Thus, $\{1.03\}=0.03$; $\{-1.25\}=0.75$; $\{\pi\}=0.1415\dots$.

How to Cite This Entry:
Fractional part of a number. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Fractional_part_of_a_number&oldid=29217
This article was adapted from an original article by S.A. Stepanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article