The mathematical theory of the passage from compressible to incompressible fluid flow is reviewed. Mathematics Subject Classification. 35Q30, 35Q35, 76G25. Plenary lecture, Low Mach Number Flows Conference, June 21-25, 2004, Porquerolles, France.

Problems of best tensor product approximation of low orthogonal rank can be formulated as maximization problems on Stiefel manifolds. The functionals that appear are convex and weakly sequentially continuous. It is shown that such problems are always well-posed, even in the case of non-compact Stiefel manifolds. As a consequence, problems of finding a best orthogonal, strong orthogonal or compl...

This paper briefly surveys existing methods for boosting multi-class classication algorithms, as well as compares the performance of one such implementation, Stagewise Additive Modeling using a Multi-class Exponential loss function (SAMME), against that of Softmax Regression, Classification and Regression Trees, and Neural Networks.

The rising popularity of the sensor-equipped smartphone is changing the possible scale and scope of human activity inference. The diversity in user population seen in large user bases can overwhelm conventional one-size-fits-all classication approaches. Although personalized models are better able to handle population diversity, they often require increased effort from the end user during train...

This 90-minute workshop shares several aspects of an innovative interdisciplinary college course, Pattern Play, that links mathematics and dance to meet creative arts and quantitative literacy requirements. Participants will: 1) Engage in two open-ended movement activities – Giant Tangrams and Hustling Graph – that introduce geometry, algebra, and dance concepts as well as the broader theme of ...

We see the subject of complex analysis, in both one and several variables, as an excuse to study other areas: real variables, topology, group theory, abstract algebra, partial differential equations, or geometry. The purpose of this paper is to develop that theme, illustrated by several examples. 0 Prefatory Thoughts I am known as a complex analyst, yet I have never had a course in complex vari...