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drastic_measures [2016/07/17 15:22] nikolaj |
drastic_measures [2016/07/17 15:28] nikolaj |
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| === Discussion === | === Discussion === | ||
| - | ${\mathcal N}_Sf:=(Sf)^{-1}\cdot f$ | + | "Normalization w.r.t. $S$", |
| - | $\bar{f}:=(Sf)^{-1}\cdot f$ | + | $N_Sf:=(Sf)^{-1}\cdot f$, |
| - | has $S\bar{f}=e$. | + | has $SN_Sf=e$ and $[N_S]=[S^{-1}]$. |
| - | So we can use such $S$ to normalize functions w.r.t. $S$. | + | As $S$ is linear, |
| + | |||
| + | $N_S(c\,f)=N_S(f)$ | ||
| + | |||
| + | We'll also write | ||
| + | |||
| + | $\bar{f}:=(Sf)^{-1}\cdot f$ | ||
| == Example 1 == | == Example 1 == | ||
