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| author | Andreas Müller <andreas.mueller@ost.ch> | 2021-10-20 07:57:40 +0200 |
|---|---|---|
| committer | Andreas Müller <andreas.mueller@ost.ch> | 2021-10-20 07:57:40 +0200 |
| commit | 8ffec47bc2d442d4a4f51402d81aa51662b5f0c3 (patch) | |
| tree | 88c9c66a2242a557edf375df8b230ea61843a872 | |
| parent | typo (diff) | |
| download | SeminarMatrizen-8ffec47bc2d442d4a4f51402d81aa51662b5f0c3.tar.gz SeminarMatrizen-8ffec47bc2d442d4a4f51402d81aa51662b5f0c3.zip | |
more typosv1.0.0
| -rw-r--r-- | buch/chapters/10-vektorenmatrizen/skalarprodukt.tex | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/buch/chapters/10-vektorenmatrizen/skalarprodukt.tex b/buch/chapters/10-vektorenmatrizen/skalarprodukt.tex index 5e5337c..08e389a 100644 --- a/buch/chapters/10-vektorenmatrizen/skalarprodukt.tex +++ b/buch/chapters/10-vektorenmatrizen/skalarprodukt.tex @@ -720,7 +720,7 @@ Dann gilt \ker f^* &= (\operatorname{im}f)^\perp -&& +&&\qquad & \operatorname{im}f\phantom{\mathstrut^*} &= @@ -730,7 +730,7 @@ Dann gilt &= (\operatorname{im}f^*)^\perp & -&& +&&\qquad \operatorname{im}f^* &= (\ker f)^\perp. @@ -791,7 +791,7 @@ Auch die $l^1$-Norm erfüllt die Dreiecksungleichung = \sum_{i=1}^n |x_i+y_i| \le -\sum_{i=1} |x_i| + \sum_{i=1} |y_i| +\sum_{i=1}^n |x_i| + \sum_{i=1}^n |y_i| = \|x\|_1 + \|y\|_1. \] |