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akos.ma | ||
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divisbyzero.com
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| | | | | In my next real analysis lecture, we'll be discussing the Bolzano-Weierstrass theorem. (It says that any bounded sequence of real numbers contains a convergent subsequence.) I'll be showing my class this video in which Steve Sawin(AKA Slim Dorky) raps the complete proof of the theorem. https://www.youtube.com/watch?v=dfO18klwKHg You can read the lyrics here. He has some... | |
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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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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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www.tekstadventure.nl
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| | | https://www.youtube.com/watch?v=D0E5vMkDfOI (Big Thief's 2016 NPR Tiny Desk concert.) | ||
