From 8c92b693f1fedf4b3b3165cbfbb609b80aec8a7d Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Mon, 16 Sep 2013 11:31:52 +0200 Subject: [PATCH] Merge-Fehler beseitigt. Danke Felix. --- documents/Numerik/Klausur2/Aufgabe4.tex | 15 --------------- documents/Numerik/Klausur2/Klausur2.pdf | Bin 213027 -> 202435 bytes 2 files changed, 15 deletions(-) diff --git a/documents/Numerik/Klausur2/Aufgabe4.tex b/documents/Numerik/Klausur2/Aufgabe4.tex index 07f804e..791867b 100644 --- a/documents/Numerik/Klausur2/Aufgabe4.tex +++ b/documents/Numerik/Klausur2/Aufgabe4.tex @@ -35,20 +35,6 @@ ist. Wenn diese nun auf $N$ Intervalle aufgepflittet wird gilt folgendes: \int_a^b f(x) \mathrm{d}x &= h \cdot \frac{1}{6} \cdot \left [ f(a) + f(b) + 2 \cdot \sum_{i=1}^{N-1} f(a + i \cdot h) + 4 \cdot \sum_{l=0}^{N-1} f(a + \frac{1}{2} \cdot h + l \cdot h)\right ] \end{align} -<<<<<<< HEAD -$\sum_{i=1}^{N-1} f(i \cdot \frac{1}{N})$ sind die Grenzknoten der Intervalle - (deshalb werden sie doppelt gezählt). Von den Grenzknoten gibt es -insgesamt $s-2$ Stück, da die tatsächlichen Integralgrenzen $a$ und $b$ -nur einmal in die Berechnung mit einfließen. - -$\sum_{i=1}^N f(i \cdot \frac{1}{2N})$ sind die jeweiligen -mittleren Knoten der Intervalle. Davon gibt es $s-1$ Stück. - -\begin{figure}[h] - \centering - \includegraphics*[width=\linewidth, keepaspectratio]{aufgabe4-b.png} -\end{figure} -======= $\sum_{i=1}^{N-1} f(a + i \cdot h)$ steht für die Grenzknoten (deshalb werden sie doppelt gezählt). Von den Grenzknoten gibt es insgesamt $N-2$ Stück, da die tatsächlichen Integralgrenzen $a$ und $b$ @@ -56,7 +42,6 @@ nur einmal in die Berechnung mit einfließen. $\sum_{l=0}^{N-1} f(a + \frac{1}{2} \cdot h + l \cdot h)$ sind die jeweiligen mittleren Knoten der Intervalle. 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