From 01365dc0b8fcf74c0861540ec715304fd6e958dd Mon Sep 17 00:00:00 2001 From: flavis Date: Tue, 9 Jun 2020 19:03:16 +0200 Subject: [PATCH] fix another typo --- ana13.tex | 2 +- analysisII.pdf | Bin 618587 -> 618574 bytes 2 files changed, 1 insertion(+), 1 deletion(-) diff --git a/ana13.tex b/ana13.tex index 86bdc38..0100ef7 100644 --- a/ana13.tex +++ b/ana13.tex @@ -38,7 +38,7 @@ \end{salign*} Ist $m = 1$, so gilt: \begin{salign*} - f(x+h) - f(x) &= \int_{0}^{1} \sum_{i=1}^{n} \pdv{f}{x_{i}}(x+sh) \d{s} \cdot h_{i} = \sum_{i=1}^{n} \left( \int_{0}^{1} \pdv{f_{i}}{x_{i}}(x+sh) \d{s} \right) \cdot h_{i} \\ &= \left( \int_{0}^{1} \nabla f(x+sh) \d{s}, h\right)_{2} + f(x+h) - f(x) &= \int_{0}^{1} \sum_{i=1}^{n} \pdv{f}{x_{i}}(x+sh) \d{s} \cdot h_{i} = \sum_{i=1}^{n} \left( \int_{0}^{1} \pdv{f}{x_{i}}(x+sh) \d{s} \right) \cdot h_{i} \\ &= \left( \int_{0}^{1} \nabla f(x+sh) \d{s}, h\right)_{2} \end{salign*} Ist $m \geq 2$, so gilt analog zu oben: \begin{salign*} diff --git a/analysisII.pdf 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