Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.

Here's why math fact fluency matters, and what we know from research about teaching strategies and timed exercises.

We consider positive powers of a rational generating function F(x, z) of the variable z whose numerator has degree at most 1, denominator has degree 2, and where coefficients are functions of x. Many ...

Paul Carter, David Lowry-Duda, On Functions Whose Mean Value Abscissas Are Midpoints, with Connections to Harmonic Functions, The American Mathematical Monthly, Vol. 124, No. 6 (June-July 2017), pp.