Since our main norm
is the square root of a sum of squares,
we are using what is called an norm
and we may write
to emphasize this fact.
We could equally well have chosen a normalized norm
which is simply the ``RMS level'' of
(``Root Mean Square'').
More generally, the (unnormalized) norm
is defined as
(The normalized case would include
in front of the summation.)
The most interesting
- : The , ``absolute value,'' or ``city block'' norm.
- : The , ``Euclidean,'' ``root energy,'' or ``least squares'' norm.
- : The
, ``Chebyshev,'' ``supremum,'' ``minimax,''
or ``uniform'' norm.
Note that the case
is a limiting case which becomes
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