It is known that the expected number of zeros in the interval (-1, 1) of the sum a0ψ0(t) + a1ψ1(t) + ⋯ + anψn(t), in which ψk(t) is the normalized Legendre polynomial of degree k and the coefficients ...

If you’ve ever taken an algebra or physics class, then you’ve met a parabola, the simple curve that can model how a ball flies through the air. The most important part of a parabola is the vertex — ...

New work establishes a tighter connection between the rank of a polynomial and the extent to which it favors particular outputs. When you deposit a quarter and turn the crank on a gumball machine, the ...