Ian Short

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Category: Analysis

A seminar by Tom Körner

Tom Körner gave a seminar here at the Open University a couple of weeks back about using the Baire Category Theorem to prove a quantitative form of a theorem of Rudin. Tom made some passing remarks on the Central Limit Theorem, which I discuss and develop in this post. Central Limit Theorem. Let X1, X2,… […]

Semi-log graphs

Introduction Last week E asked me about some biological data which could be modelled by an exponential curve, similar to the one shown below. It is the graph of a function such as f(x) = kexp(-sx), for positive constants k and s. Ellie had another version of this graph, shown below. I immediately thought that […]