Difference between revisions of "Positive part function"

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(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 ...")
 
(Definition)
 
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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 x is denoted x^+. It can also be defined as \max \{ x, 0 \}.

It can also be described using a piecewise definition:

x^+ := \left\lbrace \begin{array}{rl}x, & x \ge 0 \\ 0, & x < 0 \\\end{array}\right.

Graph

Positivepartfunction.png