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[NumCS] style update (to remove warning from amsmath)

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Janis Hutz
2025-10-19 08:36:46 +02:00
parent fa05216885
commit 6f0d67aa75
3 changed files with 65 additions and 65 deletions
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4
semester3/numcs/parts/02_quadrature/00_introduction.tex
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@@ -49,7 +49,7 @@ Falls wir $c_k(x) = x^k$ haben (was oft der Fall ist, je nach Funktion aber kön
Für die Knoten $x_0, x_1, \ldots, x_n \in \R$ definieren wir die Polynome
\rmvspace
\begin{align*}
l_i(x) = \prod_{j = 0 \atop j \neq i}^n \frac{x - x_j}{x_i - x_j}
l_i(x) = \prod_{\substack{j = 0\\ j \neq i}}^n \frac{x - x_j}{x_i - x_j}
\end{align*}
\rmvspace
@@ -129,7 +129,7 @@ Für dieses Referenzintervall können wir die Gewichte $\hat{w}_j$ und die Knote
\rmvspace
\begin{align*}
\int_{a}^{b} f(t) \dx t \approx \frac{1}{2}(b - a) \sum_{j = 1}^{n} \hat{w}_j \hat{f}(\hat{c}_j) = \sum_{j = 1}^{n} w_j f(c_j)
& & \text{ mit } {c_j = \frac{1}{2} (1 - \hat{c}_j) a + \frac{1}{2}(1 + \hat{c}_j) b \atop{w_j = \frac{1}{2}(b - a)\hat{w}_j}}
& & \text{ mit } \elementstack{c_j = \frac{1}{2} (1 - \hat{c}_j) a + \frac{1}{2}(1 + \hat{c}_j) b}{w_j = \frac{1}{2}(b - a)\hat{w}_j}
\end{align*}
\rmvspace\rmvspace