Difference between revisions of "Category:Biased function"

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m (Renan moved page Biased function to Category:Balanced function without leaving a redirect: Not sure we'll be using biased that much. Let's try balanced instead.)
m (Renan moved page Category:Baised function to Category:Biased function without leaving a redirect: Typo in name)
 
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== Definition ==
 
== Definition ==
A Boolean function <math>f:\{-1,1\}^n \to \{-1,1\}</math> has '''bias''' of p if obtains the value 1 on a <math>\frac{1+p}{2}</math>-fraction of its inputs. A 0-biased function is called '''balanced''' or '''unbiased'''.
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A Boolean function <math>f:\{-1,1\}^n \to \{-1,1\}</math> has '''bias''' of p if obtains the value 1 on a <math>\frac{1+p}{2}</math>-fraction of its inputs.  
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A 0-biased function is called '''[[:category:balanced function|balanced]]''' or '''unbiased'''.
  
 
== Properties ==  
 
== Properties ==  
 
* TODO
 
* TODO
 
== Examples of biased functions ==
 
* TODO
 
 
== Examples of balanced functions ==
 
* [[Address]]
 
* [[Dictator]]
 
* [[Inner product]]
 
* [[Majority]]
 
* [[Parity]]
 
  
 
== References ==
 
== References ==
 
<references/>
 
<references/>

Latest revision as of 10:49, 5 September 2018

Definition

A Boolean function [math]f:\{-1,1\}^n \to \{-1,1\}[/math] has bias of p if obtains the value 1 on a [math]\frac{1+p}{2}[/math]-fraction of its inputs.

A 0-biased function is called balanced or unbiased.

Properties

  • TODO

References

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