/explore

Click through on any links that interest you or select the planets on the right to continue exploring the Outer Web.
You are here

thehighergeometer.wordpress.com
| | dominiczypen.wordpress.com

The starting point of this blog post is a slight reformulation of the $latex T_0$ separation axiom: A topological space $latex (X,\tau)$ is $latex T_0$ if for all $latex x\neq y\in X$ there is a set $latex U\in \tau$ such that $latex \{x,y\}\cap U \neq \emptyset \text{ and } \{x,y\}\not\subseteq U.$ Given a cardinal $latex...
1.4 parsecs

Travel
| |
| | algorithmsoup.wordpress.com

The ``probabilistic method'' is the art of applying probabilistic thinking to non-probabilistic problems. Applications of the probabilistic method often feel like magic. Here is my favorite example: Theorem (Erdös, 1965). Call a set $latex {X}&fg=000000$ sum-free if for all $latex {a, b \in X}&fg=000000$, we have $latex {a + b \not\in X}&fg=000000$. For any finite...
1.4 parsecs

Travel
| |
| | rhubbarb.wordpress.com

My previous post was written with the help of a few very useful tools: LaTeX mathematical typesetting Gummi LaTeX editor Python programming language PyX Python / LaTeX graphics package my own PyPyX wrapper around PyX LaTeX2WP script for easy conversion from LaTeX to WordPress HTML
1.4 parsecs

Travel
| |
| | gwhphotos2.wordpress.com

Hockey stick chair Be sure to visit pull up a seat for more interesting photos, and/or to share yours.
7.4 parsecs

Travel
|