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www.jeremykun.com
| | graphneural.network
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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.
| | yufeizhao.com
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| | How high can the second eigenvalue multiplicity of a connected bounded degree graph get?
| | www.logicmatters.net
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| There's now a new version of the category theory notes online, still missing the last chapter. It is four pages longer though, because I've added a section on conditional arrows in a topos (to go alongside conjunction and disjunction), and so been able to improve the presentation of (relative) pseuodo-complements. It now seems to be [...]