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Viewing Version 2 of 'fractional part'
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Title of object: fractional part
Canonical Name: FractionalPart
Type: Definition

Created on: 2006-09-10 04:33:07
Modified on: 2006-09-11 09:25:44

Creator: Wkbj79
Modifier: Wkbj79
Author: Mathprof
Author: Wkbj79

Classification: msc:11-00, msc:26A09

Preamble:

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Content:

The \emph{fractional part} of a nonnegative real number is the part of the number that appears after the decimal \PMlinkescapetext{point}. For example, the fractional part of $\displaystyle \frac{7}{3}$ is $\displaystyle \frac{1}{3}$.

To be more precise, for $x \in \mathbb{R}$ with $x \ge 0$, the fractional part of $x$, denoted as $\{x\}$, is given by $\{x\}=x-[x]$, where $[x]$ denotes the integer part of $x$.