gives the normalized form of a vector v.
gives the normalized form of a complex number z.
normalizes with respect to the norm function f.
- Normalize[v] is effectively v/Norm[v], except that zero vectors are returned unchanged.
- Except in the case of zero vectors, Normalize[v] returns the unit vector in the direction of v.
- For a complex number z, Normalize[z] returns z/Abs[z], except that Normalize gives 0.
- Normalize[expr,f] is effectively expr/f[expr], except when there are zeros in f[expr].
Examplesopen allclose all
Introduced in 2007