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A fundamental tool in any mathematician’s toolkit is that of reductio ad absurdum: showing that a statement is false by assuming first that is true, and showing that this leads to a logical contradiction. A particulary pure example of reductio ad...
As the previous discussion on displaying mathematics on the web has become quite lengthy, I am opening a fresh post to continue the topic. I’m leaving the previous thread open for those who wish to respond directly to some specific comments in that...
This week, Henry Towsner continued some model-theoretic preliminaries for the reading seminar of the Hrushovski paper, particularly regarding the behaviour of wide types, leading up to the main model-theoretic theorem (Theorem 3.4 of Hrushovski) which...
The various languages and formats that make up modern web pages (HTML, XHTML, CSS, etc.) work wonderfully for most purposes, but there is one place where they are still somewhat clunky, namely in the presentation of mathematical equations and diagrams...
A handy inequality in additive combinatorics is the Plünnecke-Ruzsa inequality:
Theorem 1 (Plünnecke-Ruzsa inequality) Let be finite non-empty subsets of an additive group , such that for all and some scalars . Then there exists a subset <img...
