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[NumCS] Explain what L^2 norm is
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@@ -43,7 +43,7 @@ $p_m$ kann folgendermassen dargestellt werden ($a_0 = 2\gamma_0, a_j = 2\Re(\gam
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\begin{align*}
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\begin{align*}
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L^2(0, 1) := \{ f: (0, 1) \rightarrow \C \divides ||f||_{L^2(0, 1)} < \infty \}
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L^2(0, 1) := \{ f: (0, 1) \rightarrow \C \divides ||f||_{L^2(0, 1)} < \infty \}
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\end{align*}
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\end{align*}
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während die $L^2$-Norm auf $(0, 1)$ durch das Skalarprodukt
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während die $L^2$-Norm (= Euklidische Norm, also die normale Vektornorm) auf $(0, 1)$ durch das Skalarprodukt
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\rmvspace
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\rmvspace
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\begin{align*}
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\begin{align*}
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\langle g, f \rangle_{L^2(0, 1)} := \int_{0}^{1} \overline{g(x)} f(x) \dx x
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\langle g, f \rangle_{L^2(0, 1)} := \int_{0}^{1} \overline{g(x)} f(x) \dx x
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