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clarify in ana3

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christian
2020-05-14 19:24:12 +02:00
parent 41d1e7357e
commit 23b8597f43
2 changed files with 2 additions and 2 deletions
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sose2020/ana/uebungen/ana3.pdf
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sose2020/ana/uebungen/ana3.tex
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@@ -88,8 +88,8 @@
\item Dreicksungleichung: \item Dreicksungleichung:
\begin{align*} \begin{align*}
\Vert x + y \Vert \quad &= \quad d(x + y, 0) \\ \Vert x + y \Vert \quad &= \quad d(x + y, 0) \\
&\stackrel{\text{E1}}{=} \quad d(y, -x) \\ &= \quad d(y - (-x), 0) \\
&\stackrel{d \text{ Metrik}}= \quad d(-x, y) \\ &\stackrel{\text{E1}}{=} \quad d(-x, y) \\
&\stackrel{d \text{ Metrik}}\le \quad d(-x, 0) + d(0, y) \\ &\stackrel{d \text{ Metrik}}\le \quad d(-x, 0) + d(0, y) \\
&\stackrel{\text{E2}}{=} \quad d(x, 0) + d(y, 0) \\ &\stackrel{\text{E2}}{=} \quad d(x, 0) + d(y, 0) \\
&= \quad \Vert x \Vert_d + \Vert y \Vert_d &= \quad \Vert x \Vert_d + \Vert y \Vert_d