NO solutions?

Sets with No Solutions

This short note gives an upper bound on the measure of sets A ⊂ [0, 1] such that x+ y = 3z has no solutions in A. To the memory of Yahya Ould Hamidoune.

No "simple solutions" to emergency log-jam.

A monotone complementarity problem with feasible solutions but no complementary solutions

On two classes of simultaneous Pell equations with no solutions

In this paper we describe two classes of simultaneous Pell equations of the form x2−dy2 = z2−ey2 = 1 with no solutions in positive integers x, y, z. The proof is elementary and covers the case (d, e) = (8, 5), which was solved by E. Brown using very deep methods.

Solutions to global health challenges: no more Band-Aids.

Thank you very much. It’s a pleasure to be here. I would like to describe to you an alternate career. It might seem strange. Why would a professed molecular biologist, who has spent an entire career studying the basic mechanisms of HIV pathogenesis, be talking to you today about global health? Well, let me tell you a story. This story begins with Merle Sande (Figure 1), who was Chief of Medicin...