Archive for November 2013
Questions about some infinite series and necklaces of partitions of labeled beads
Posted by: Gary Ernest Davis on: November 5, 2013
We learn early in a study of infinite series that the geometric series sums to 1. Sometimes you will see this sort of reasoning: so so which is somewhat suspect in light of Euler’s “argument”: so . We need first to know that converges absolutely, which we can do, for example by a use of the […]
The CATs of mathematics
Posted by: Gary Ernest Davis on: November 2, 2013
Mathematics has numerous cats. For instance, there’s: Catalan numbers, which appear all over the place in counting situations. The Catalan constant Category theory The Catenary curve The Catenoid surface A Catalan surface Catastrophe theory But here’s a Cat that will never appear in the Encyclopedia of Mathematics: The totally pissed Cat: Â Yeah, I’m looking at […]
