[under construction: needs arithmetic checked]

The usual norms/means are the root-sum/mean-power:

- the Euclidean norm is the two-norm, or
root-sum-square: sqrt(square(a)+square(b)), and
the Euclidean mean is the root-mean-square:
the mean replacing the sum:
sqrt(sum(square(a
_{i}))/N) : i=1,...,N; - the 'Manhattan' norm is the one-norm, or root-sum-absolute-values: (|a|+|b|), and the 'Manhattan' mean is the absolute-average;
- the maximum value is the infinity-norm, or root-sum-infinite-power: (a^oo+b^oo)^(1/oo), or (a^N+b^N)^(1/N) n->oo - its mean equals its norm.

. . .

[under construction]

'Majestic Service in a Solar System'

Nuclear Emergency Management