Difference between revisions of "Category:Even function"

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(Created page with "==Definition == A Boolean function <math>f : \{-1,1\}^n \to \{-1,1\}</math> is called an '''odd''' Boolean function if <math>f(x) = -f(-x)</math> for all <math>x \in \{-1,1\}^...")
 
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==Definition ==
 
==Definition ==
A Boolean function <math>f : \{-1,1\}^n \to \{-1,1\}</math> is called an '''odd''' Boolean function if <math>f(x) = -f(-x)</math> for all <math>x \in \{-1,1\}^n </math>.
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A Boolean function <math>f : \{-1,1\}^n \to \{-1,1\}</math> is called an '''even''' Boolean function if <math>f(x) = f(-x)</math> for all <math>x \in \{-1,1\}^n </math>.
  
 
==Properties==
 
==Properties==
* Every odd Boolean function is [[:Category:balanced function|balanced]].
 
  
 
== References ==
 
== References ==
 
<references/>
 
<references/>
 
[[Category:balanced function]]
 

Latest revision as of 14:28, 5 September 2018

Definition

A Boolean function [math]f : \{-1,1\}^n \to \{-1,1\}[/math] is called an even Boolean function if [math]f(x) = f(-x)[/math] for all [math]x \in \{-1,1\}^n [/math].

Properties

References

Pages in category "Even function"

The following 2 pages are in this category, out of 2 total.