A Few Remarks on Astigmatism

A Few Remarks on Algorithmic Composition

A Few Remarks On Topological Field Theory

Physics 695, Fall 2015. September 9, 2015. Version December 10, 2015

A Few Practical Remarks on Midwifery as Practised in India

By II. R. Greene, Staff Assistant Surgeon. Though my opportunities for observing the practice of midwifery in this country have not been numerous, still they hare been sufficiently so to convince me that it is attended by many popular errors; some on the part of the obstetrician: more on that of the nurse. I have, therefore, noted a few of those which in my estimation are the most prominent, an...

A Few Remarks on Linear Forms Involving Catalan’s Constant

Abstract. In the joint work [RZ] of T. Rivoal and the author, a hypergeometric construction was proposed for studing arithmetic properties of the values of Dirichlet’s beta function β(s) at even positive integers. The construction gives some bonuses [RZ], Section 9, for Catalan’s constant G = β(2), such as a second-order Apéry-like recursion and a permutation group in the sense of G. Rhin and C...

A Few Remarks on Periodic Orbits for Planar Billiard Tables

I announce a solution of the conjecture about the measure of periodic points for planar billiard tables. The theorem says that if Ω ⊂ R is a compact domain with piecewise C boundary, then the set of periodic orbits for the billiard in Ω has measure zero. Here I outline a proof. A complete version will appear elsewhere.