A twenty minute overview of some of the new features in Sage 9.
The Facebook Integral
Facebook has developed a neural network that can solve some integrals that Mathematica can not. In the first video, I explain how to use free software products (Axiom and Sage) to solve this integral. In the second video, I go into more detail about Robert Risch’s theorem and how it applies to the Facebook integral.
Sage 9: Multivariate Factorization over Q̅
Exact Computation of Algebraic Varieties using Numerical Techniques
(graduate seminar lecture at Catholic University)