University of Calgary

Abstract: A novel technique used to achieve efficient frequency conversion monolithically in semiconductor is reviewed. It uses Bragg reflection waveguides to obtain monolithic intra-laser cavity parametric processes utilizing c(2). These chip-based...

Modern probability theory, whose foundation is based on the axioms set forth by Kolmogorov, is currently the major tool for performance analysis in stochastic systems. While it offers insights in understanding such systems, probability theory is...

Computational noise in deterministic simulations is as ill-defined a concept as can be found in scientific computing. Roundoff errors, discretizations, numerical solutions to systems of equations, and adaptive techniques can destroy the smoothness of...

We derive new identities for a polynomial analogue of the Stern sequence and define two subsequences of these polynomials. We obtain various properties for these two interrelated subsequences which have 0-1 coefficients and can be seen as extensions...

Doodling has many mathematical aspects: patterns, shapes, numbers,and more. Not surprisingly, there is often some sophisticated and funmathematics buried inside common doodles.I’ll begin by doodling, and see where it takes us.It looks like play, but...

This lecture will explain the Turing Test as well as Turing's more general views concerning the prospects for artificial intelligence and examine both the criticisms of the test and Turing's rebuttals.

Soroosh will be speaking tomorrow on log structures in algebraic geometry. These play a role in looking at the singular limits of elliptic curves.

We're following Jay Pottharst's notes, available at http://math.bu.edu/people/potthars/writings/log.str.pdf