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dominiczypen.wordpress.com | ||
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bartoszmilewski.com
Previously: Topology as a Dietary Choice. Category theory lets us change the focus from individual objects to relationships between them. Since topology is defined using open sets, we'd start by concentrating on relations between sets. One such obvious relation is inclusion. It imposes a categorical structure on the subsets of a given set $latex X$.... |
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mikespivey.wordpress.com
Equations of the form $latex x^3 = y^2 + k$ are called Mordell equations. In this post we're going to prove that the equation $latex x^3 = y^2 -7$ has no integer solutions, using (with one exception) nothing more complicated than congruences. Theorem: There are no integer solutions to the equation $latex x^3 = y^2... |
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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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rapuran.wordpress.com
More on Weekly Travel Theme |
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