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Student[VectorCalculus][Normalize] - normalize a Vector or vector field
Calling Sequence
Normalize(f, p)
Parameters
f
-
Vector; specify the Vector or vector field
p
(optional) non-negative number, infinity, or Euclidean; specify the norm
Description
The Normalize(f, p) calling sequence normalizes the Vector or vector field f with respect to the p-norm. If p is omitted, it defaults to 2. Note that if the current coordinate system (see SetCoordinates) is not cartesian, the Vector will be transformed to cartesian coordinates before the normalization is computed (see MapToBasis), and then the result will be mapped back to its original coordinate system.
If f is a vector field, the result is again a vector fieldthat, at any point (Vector) v, evaluates to the normalized (with respect to the {p}-norm) value of f at v.
The Normalize(f,Euclidean) calling sequence is equivalent to Normalize(f,2).
Examples
For vector fields, the Normalize command returns a vector field.
See Also
LinearAlgebra[Normalize], Student[VectorCalculus], Student[VectorCalculus][MapToBasis], Student[VectorCalculus][Norm], Student[VectorCalculus][SetCoordinates], Student[VectorCalculus][Vector], Student[VectorCalculus][VectorField]
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