Art of Problem Solving
Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Signum function

Revision as of 20:28, 20 September 2008 by Herefishyfishy1 (talk | contribs)

The signum function, denoted $\text{sgn}(x)$, is equal to \[\begin{cases} 1 & \text{for } x > 0,\\ -1 & \text{for } x < 0, \\ 0 & \text{for } x=0.\end{cases}\]

Properties

  • The signum function is odd.
  • $\text{sgn}(x)$ is equal to $\frac{|x|}{x}$ for $x \neq 0$.
Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=Signum_function&oldid=28004"