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arkadiusz-jadczyk.eu | ||
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blog.autarkaw.com
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| | | | | [AI summary] The blog post explains how to use numerical methods for solving ordinary differential equations (ODEs) by framing them as definite integrals, leveraging the second fundamental theorem of calculus, and discusses a correction to a typo in an example. | |
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nhigham.com
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| | | | | The trace of an $latex n\times n$ matrix is the sum of its diagonal elements: $latex \mathrm{trace}(A) = \sum_{i=1}^n a_{ii}$. The trace is linear, that is, $latex \mathrm{trace}(A+B) = \mathrm{trace}(A) + \mathrm{trace}(B)$, and $latex \mathrm{trace}(A) = \mathrm{trace}(A^T)$. A key fact is that the trace is also the sum of the eigenvalues. The proof is by... | |
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stephenmalina.com
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| | | | | Selected Exercises # 5.A # 12. Define $ T \in \mathcal L(\mathcal P_4(\mathbf{R})) $ by $$ (Tp)(x) = xp'(x) $$ for all $ x \in \mathbf{R} $. Find all eigenvalues and eigenvectors of $ T $. Observe that, if $ p = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 $, then $$ x p'(x) = a_1 x + 2 a_2 x^2 + 3 a_3 x^3 + 4 a_4 x^4. | |
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zaries.wordpress.com
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| | | Since 2007 when I started using Ubuntu I have been doing upgrades to the latest version a month before the release. Yes I am a sucker for pain. After the upgrade to 19.04 today I had issues loading projects that used cl-ssl getting the following error: Unable to load any of the alternatives: ("libssl.so.1.0.2m" "libssl.so.1.0.2k"... | ||
