Normalize Command

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This command differs among variants of English:

  • Normalize (US)

  • Normalise (UK + Aus)
Normalize( <List of Numbers> )

Returns a list containing the normalized form of the given numbers.

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.

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)}.

  • If you are doing calculations using big or small numbers (eg using FitGrowth) then normalizing them might avoid rounding/overflow errors

  • 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 \(x \rightarrow \frac{x-Min(list)}{Max(list)-Min(list)}\).