AoPSWiki
Want to learn how to tackle those tough MATHCOUNTS and AMC counting and probability problems? Check out Art of Problem Solving's Introduction to Counting & Probability by David Patrick.
Personal tools

Fractional part

From AoPSWiki

The fractional part of a real number x, usually denoted \{x\}, is equvalent to removing the integer part of x. Thus \{x\} = x - [x], where [x] denotes the floor function. For positive numbers, this is equivalent to taking "everything after the decimal point," but this is not true in general for negative numbers. For example,

\{3.14\} = 0.14

\{5\} = 0

\{-3.2\} = 0.8

The fractional part function has the real numbers as its domain and the interval [0, 1) as its range.


See Also

Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's Intermediate Counting & Probability by David Patrick.
© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us