Positive part function: Difference between revisions
(Created page with "==Definition== The '''positive part function''' is a function that takes as input any real number and outputs the same number if it is nonnegative, and 0 if it is negative. The ...") |
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It can also be described using a [[piecewise definition of function|piecewise definition]]: | It can also be described using a [[piecewise definition of function|piecewise definition]]: | ||
<math>x^+ := \left\lbrace \begin{array}{rl}x, & x \ge 0 \\ 0, x < 0 \\\end{array}\right.</math> | <math>x^+ := \left\lbrace \begin{array}{rl}x, & x \ge 0 \\ 0, & x < 0 \\\end{array}\right.</math> | ||
==Graph== | ==Graph== | ||
[[File:Positivepartfunction.png|500px]] | [[File:Positivepartfunction.png|500px]] | ||
Latest revision as of 00:14, 20 September 2011
Definition
The positive part function is a function that takes as input any real number and outputs the same number if it is nonnegative, and 0 if it is negative. The positive part of is denoted . It can also be defined as .
It can also be described using a piecewise definition:
Graph
