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wildtopology.com | ||
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blog.georgeshakan.com
I recently uploaded "On the largest sum-free subset problem in the integers," to the arXiv. Let $latex A \subset \mathbb{Z}$ be a finite subset of the integers. We say $latex A$ is sum-free if there are no solutions to $latex a + b = c,$ with $latex a,b,c \in A$. We define $latex S(A)$ to... |
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fabricebaudoin.blog
Let $latex x\in C^{1-var} ([0,T], \mathbb{R}^d)$ and let $latex V : \mathbb{R}^e \to \mathbb{R}^{e\times d} $ be a Lipschitz continuous map. In order to analyse the solution of the differential equation, $latex y(t)=y_0+\int_0^t V(y(s)) dx(s),$ and make the geometry enter into the scene, it is convenient to see $latex V$ as a collection of vector... |
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thehighergeometer.wordpress.com
Here's a fun thing: if you want to generate a random finite $latex T_0$ space, instead select a random subset from $latex \mathbb{S}^n$, the $latex n$-fold power of the Sierpinski space $latex \mathbb{S}$, since every $latex T_0$ space embeds into some (arbitrary) product of copies of the Sierpinski space. (Recall that $latex \mathbb{S}$ has underlying... |
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jinancitydailyphoto.wordpress.com
1. Each week, we'll provide a theme for creative inspiration. You take photographs based on your interpretation of the theme, and post them on your blog (a new post!) anytime before the following Friday when the next photo theme will be announced. 2. To make it easy for others to check out your photos, title... |
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