### Other Lp Norms

Since our main norm is the square root of a sum of squares,*norm*and we may write to emphasize this fact. We could equally well have chosen a

*normalized norm*:

*norm*of is defined as

- : The , ``absolute value,'' or ``city block'' norm.
- : The , ``Euclidean,'' ``root energy,'' or ``least squares'' norm.
- : The , ``Chebyshev,'' ``supremum,'' ``minimax,'' or ``uniform'' norm.

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Norm Properties

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