Difference between revisions of "Normalize Command"

Revision as of 09:37, 19 July 2015

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]}.

@@ Line 2: / Line 2: @@
-;Normalize[ <List of Numbers> ] : Return list of ''normalized'' values for given numbers.
+;Normalize[ <List of Numbers> ]: Returns a list containing the ''normalized'' form of the given numbers.
-:{{example|<code>Normalize[{1, 2, 3, 4, 5}]</code> return   ''{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[ <List of Points> ] : Return list of points with x-coordinates (y-coordinates) ''normalized'' values for x-coordinates (y-coordinates) of given points.
+;Normalize[ <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> return  ''{(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)}''.}}
-{{warning|"Points" means (yet ?) Points 2D not 3D}}
+{{Notes|1=
+*This command is not applicable to 3D points.
-{{Note|Normalize values of a list means transform all values in  [0 ; 1] using linear function  <math>x \mapsto \frac{x-Min[list]}{Max[list]-Min[list]}</math> .}}
+*The operation of ''normalization'' maps a value ''x'' to the interval [0, 1] using the linear function  <math>x \mapsto \frac{x-Min[list]}{Max[list]-Min[list]}</math>.}}