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Cory Balaton 2023-09-25 14:21:09 +02:00
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latex/assignment-2.pdf
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latex/output/eigenvector_10.csv Normal file
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@ -0,0 +1,13 @@
x,Vector 1,Vector 2,Vector 3,Analytic 1,Analytic 2,Analytic 3
0.0000000000e+00,0.0000000000e+00,0.0000000000e+00,0.0000000000e+00,0.0000000000e+00,0.0000000000e+00,0.0000000000e+00
9.0909090909e-02,1.2013116562e-01,2.3053001908e-01,3.2225269916e-01,1.2013116588e-01,2.3053001915e-01,3.2225270128e-01
1.8181818182e-01,2.3053002022e-01,3.8786838557e-01,4.2206128116e-01,2.3053001915e-01,3.8786838606e-01,4.2206128095e-01
2.7272727273e-01,3.2225270064e-01,4.2206128186e-01,2.3053002150e-01,3.2225270128e-01,4.2206128095e-01,2.3053001915e-01
3.6363636364e-01,3.8786838571e-01,3.2225270018e-01,-1.2013116730e-01,3.8786838606e-01,3.2225270128e-01,-1.2013116588e-01
4.5454545455e-01,4.2206128199e-01,1.2013116659e-01,-3.8786838753e-01,4.2206128095e-01,1.2013116588e-01,-3.8786838606e-01
5.4545454545e-01,4.2206128029e-01,-1.2013116676e-01,-3.8786838497e-01,4.2206128095e-01,-1.2013116588e-01,-3.8786838606e-01
6.3636363636e-01,3.8786838601e-01,-3.2225270035e-01,-1.2013116452e-01,3.8786838606e-01,-3.2225270128e-01,-1.2013116588e-01
7.2727272727e-01,3.2225270138e-01,-4.2206128196e-01,2.3053001725e-01,3.2225270128e-01,-4.2206128095e-01,2.3053001915e-01
8.1818181818e-01,2.3053001839e-01,-3.8786838569e-01,4.2206128036e-01,2.3053001915e-01,-3.8786838606e-01,4.2206128095e-01
9.0909090909e-01,1.2013116693e-01,-2.3053001912e-01,3.2225270306e-01,1.2013116588e-01,-2.3053001915e-01,3.2225270128e-01
1.0000000000e+00,0.0000000000e+00,0.0000000000e+00,0.0000000000e+00,0.0000000000e+00,0.0000000000e+00,0.0000000000e+00
1 x Vector 1 Vector 2 Vector 3 Analytic 1 Analytic 2 Analytic 3
2 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00 0.0000000000e+00
3 9.0909090909e-02 1.2013116562e-01 2.3053001908e-01 3.2225269916e-01 1.2013116588e-01 2.3053001915e-01 3.2225270128e-01
4 1.8181818182e-01 2.3053002022e-01 3.8786838557e-01 4.2206128116e-01 2.3053001915e-01 3.8786838606e-01 4.2206128095e-01
5 2.7272727273e-01 3.2225270064e-01 4.2206128186e-01 2.3053002150e-01 3.2225270128e-01 4.2206128095e-01 2.3053001915e-01
6 3.6363636364e-01 3.8786838571e-01 3.2225270018e-01 -1.2013116730e-01 3.8786838606e-01 3.2225270128e-01 -1.2013116588e-01
7 4.5454545455e-01 4.2206128199e-01 1.2013116659e-01 -3.8786838753e-01 4.2206128095e-01 1.2013116588e-01 -3.8786838606e-01
8 5.4545454545e-01 4.2206128029e-01 -1.2013116676e-01 -3.8786838497e-01 4.2206128095e-01 -1.2013116588e-01 -3.8786838606e-01
9 6.3636363636e-01 3.8786838601e-01 -3.2225270035e-01 -1.2013116452e-01 3.8786838606e-01 -3.2225270128e-01 -1.2013116588e-01
10 7.2727272727e-01 3.2225270138e-01 -4.2206128196e-01 2.3053001725e-01 3.2225270128e-01 -4.2206128095e-01 2.3053001915e-01
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latex/problems/problem-1.tex
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@ -12,5 +12,5 @@ Scaling will result in a dimensionless variable $\hat{x} = \frac{1}{L}$.
\end{align*}
Now we insert the expression into the original equation
\begin{align*}
\frac{d u(\hat{x})}{d\hat{x}^{2}} &= - \frac{F L^{2}}{\gamma} u(\hat{x}) \\
\end{align*}
\frac{d u(\hat{x})}{d\hat{x}^{2}} &= - \frac{F L^{2}}{\gamma} u(\hat{x}). \\
\end{align*}