Polarization Identity - Formula

Formula

The various forms given below are all related by the parallelogram law:

2\|\textbf{u}\|^2 + 2\|\textbf{v}\|^2 = \|\textbf{u}+\textbf{v}\|^2 + \|\textbf{u}-\textbf{v}\|^2.

The polarization identity can be generalized to various other contexts in abstract algebra, linear algebra, and functional analysis.

Read more about this topic:  Polarization Identity

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