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Category Archives: Notes
Parabolic as infinite dimensional elliptic
This intuition was used by Perelman. Quote from Tao: “We now come to an interesting (but still mostly heuristic) correspondence principle between elliptic theory and parabolic theory, with the latter being viewed as an infinite-dimensional limit of the former, in a … Continue reading
Course exams written by someone else other than the instructors/coordinators. Good or Bad?
As you might know already evaluating learning outcomes is very difficult. For example, student feedback is not always reliable; there are studies showing inverse relations between student learning and student ratings (eg. a course that managed to challenge students). One … Continue reading
1. Global nature An important feature to note about Cauchy’s theorem is the global nature of its hypothesis on the analytic functions f. Cauchy’s theorem is the powerful technique of contour shifting, which allows one to compute a contour integral … Continue reading
Wald’s equation and bullet projectile quality
References: Milton Friedman suggesting problem to Wald and the math in sequential analysis. In order to understand the story, it is necessary to have an idea of a simple statistical problem, and of the standard procedure for dealing with it. … Continue reading