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| | fabricebaudoin.blog
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| | Contents Lp theory of semigroups Diffusion operators as generators of Dirichlet forms The Lp theory of heat semigroups Our goal, in this section, is to define, for 1 ? p ? +?, Pt on Lp := Lp(X,?). This may be done in a natural way by using the Riesz-Thorin interpolation theorem that we recall below....
| | www.jeremykun.com
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| | For fixed integers $ r > 0$, and odd $ g$, a Moore graph is an $ r$-regular graph of girth $ g$ which has the minimum number of vertices $ n$ among all such graphs with the same regularity and girth. (Recall, A the girth of a graph is the length of its shortest cycle, and it's regular if all its vertices have the same degree) Problem (Hoffman-Singleton): Find a useful constraint on the relationship between $ n$ and $ r$ for Moore graphs of girth $ 5$ and degree $ r$.
| | mattbaker.blog
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| | Test your intuition: is the following true or false? Assertion 1: If $latex A$ is a square matrix over a commutative ring $latex R$, the rows of $latex A$ are linearly independent over $latex R$ if and only if the columns of $latex A$ are linearly independent over $latex R$. (All rings in this post...
| | nuthousecentral.wordpress.com
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| https://nadiamerrillphotography.wordpress.com/2020/06/26/a-photo-a-week-challenge-dusk/