= Coefficient condition number of a normalized B-spline basis
{title2=$\kappa(\mathcal S)=\sup_{s\ne0}\|c(s)\|_{\ell^\infty}/\|s\|_\infty$}
For a nonnegative partition-normalized <B-spline> <basis>, the synthesis <linear map> $Tc=\sum_jc_jN_j$ has <operator norm> one. Its <condition number> is consequently $\|T^{-1}\|$, with the <supremum norm> on the <spline> space and the maximum <norm> on its <coefficients>. The <uniform-norm stability of a B-spline basis> bounds this number independently of the <spline knot sequence> when the order is fixed. This is different from the <condition number> of a particular sampled <B-spline collocation matrix>.
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