norm - Maple Help

norm

norm of a polynomial

 Calling Sequence norm(a, n, v)

Parameters

 a - expanded polynomial n - real constant >= 1 or the name infinity v - (optional) variable specification

Description

 • The norm function computes the nth norm of the polynomial a in the indeterminates v. For  $1\le n$ the norm is defined:

$\mathrm{norm}\left(a,n,v\right)={\left(\mathrm{sum}\left({\left|c\right|}^{n}\right),\mathrm{for}c\in \left[\mathrm{coeffs}\left(a,v\right)\right]\right)}^{\frac{1}{n}}$

 • If v is not specified, the $\mathrm{indets}\left(a\right)$ are used.

Examples

 > $\mathrm{norm}\left(x-3y,1\right)$
 ${4}$ (1)
 > $\mathrm{norm}\left(x-3y,2\right)$
 $\sqrt{{10}}$ (2)
 > $\mathrm{norm}\left(x-3y,\mathrm{\infty }\right)$
 ${3}$ (3)