Given a vector space V of homogeneous polynomials of the same degree over an infinite field, consider a generic subspace W of V. The main result of this paper is a lower-bound (in general sharp) for ...

This paper gives the exact bound of the continued fraction expansion of aθ +b/cθ +d when θ has bounded partial quotients and h: x $\mapsto \frac{ax+b}{cx+d}$ is a Mobius transformation where all ...

My youngest son is a whiz at math - as long as he can figure out problems in his head. But his uncanny ability to make sense of numbers is lost when he looks at a formulaic math problem. When he was ...