Difference between revisions of "Normalize Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function|Normalize}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function|Normalize}}
;Normalize[ &lt;List of Numbers> ]: Returns a list containing the ''normalized'' form of the given numbers.
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;Normalize( &lt;List of Numbers> ): Returns a list containing the ''normalized'' form of the given numbers.
 
:{{example|<code>Normalize[{1, 2, 3, 4, 5}]</code> returns  ''{0, 0.25, 0.5, 0.75, 1}''.}}
 
:{{example|<code>Normalize[{1, 2, 3, 4, 5}]</code> returns  ''{0, 0.25, 0.5, 0.75, 1}''.}}
  
;Normalize[ &lt;List of Points> ] : Returns a list containing the ''normalized'' form of the given points.
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;Normalize( &lt;List of Points> ) : Returns a list containing the ''normalized'' form of the given points.
 
:{{example|<code>Normalize[{(1,5), (2,4), (3,3), (4,2), (5,1)}]</code> returns  ''{(0,1), (0.25,0.75), (0.5,0.5), (0.75,0.25), (1,0)}''.}}
 
:{{example|<code>Normalize[{(1,5), (2,4), (3,3), (4,2), (5,1)}]</code> returns  ''{(0,1), (0.25,0.75), (0.5,0.5), (0.75,0.25), (1,0)}''.}}
  

Revision as of 17:16, 7 October 2017


Normalize( <List of Numbers> )
Returns a list containing the normalized form of the given numbers.
Example: Normalize[{1, 2, 3, 4, 5}] returns {0, 0.25, 0.5, 0.75, 1}.


Normalize( <List of Points> )
Returns a list containing the normalized form of the given points.
Example: Normalize[{(1,5), (2,4), (3,3), (4,2), (5,1)}] returns {(0,1), (0.25,0.75), (0.5,0.5), (0.75,0.25), (1,0)}.


Notes:
  • This command is not applicable to 3D points.
  • The operation of normalization maps a value x to the interval [0, 1] using the linear function x \mapsto \frac{x-Min[list]}{Max[list]-Min[list]}.
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