A Judge’s View of Congressional Action Affecting the Courts

A comment on Larry Kramer\u27s article suggesting an addition to the mechanisms of congressional review of proposed legislation that has an impact on the work of federal courts is presented. The Office of Technology Assessment\u27s present job for Congress in this respect is evaluated

A short proof of the simple continued fraction expansion of e

This note presents an especially short and direct variant of Hermite's proof of the simple continued fraction expansion e = [2,1,2,1,1,4,1,1,6,...] and explains some of the motivation behind it.Comment: 6 pages; only change from published version is that "Riccati" is now spelled correctl

From Schritte and Wechsel to Coxeter Groups

The PLR-moves of neo-Riemannian theory, when considered as reflections on the edges of an equilateral triangle, define the Coxeter group $\widetilde S_3$. The elements are in a natural one-to-one correspondence with the triangles in the infinite Tonnetz. The left action of $\widetilde S_3$ on the Tonnetz gives rise to interesting chord sequences. We compare the system of transformations in $\widetilde S_3$ with the system of Schritte and Wechsel introduced by Hugo Riemann in 1880. Finally, we consider the point reflection group as it captures well the transition from Riemann's infinite Tonnetz to the finite Tonnetz of neo-Riemannian theory.Comment: 14 pages for the Mathematics and Computation in Music Conference in June 2019 in Madrid, the revised version extends the music theoretic discussio

Update on Open Universe Inflationary Models

An overview of some new results in open inflation over the past year, including the calculation of gravity wave contributions to the Cosmic Microwave Background. Proceedings for COSMO-97, held in Ambleside, U.K., hence very short due to space limitations (the version for the web is more than 3 pages because archive numbers have been added for the references).Comment: LaTeX, uses sprocl.tex, 4 pages, corrected reference typ