fractional part

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

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

The name “fractional part” is somewhat of a misnomer: To the novice, the name may seem to imply that the result must be a fraction (and therefore rational), which is not the case. For example, $\\{\\pi\\}=\\pi-3$ , which is not rational.

单词	FractionalPart
释义	fractional part The fractional part of a nonnegative real number is the part of the number that appears after the decimal . For example, the fractional part of $\\frac{7}{3}$ is $\\frac{1}{3}$ . To be more precise, for $x\\in\\mathbb{R}$ with $x\\geq 0$ , the fractional part of $x$ , denoted as $\\{x\\}$ , is given by $\\{x\\}=x-[x]$ , where $[x]$ denotes the integer part of $x$ . The name “fractional part” is somewhat of a misnomer: To the novice, the name may seem to imply that the result must be a fraction (and therefore rational), which is not the case. For example, $\\{\\pi\\}=\\pi-3$ , which is not rational.
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