# Q Lee

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### How to work out proofs in Analysis I

Now that we’ve had several results about sequences and series, it seems like a good time to step back a little and discuss how you should go about …

### A powerful way to prove a mathematical result (e.g. an identi…

A powerful way to prove a mathematical result (e.g. an identity of the form A=B) is to introduce a new object or concept (say C) and connect it in two different ways to the original problem. For instance, if one can show that A=C and one can also show that C=B, then one can deduce that A=B. More generally, one can introduce n new objects or concepts, and establish at least n+1 non-trivial connections between these objects and each other, or to the original problem; for instance, if one …

### Introduction to Cambridge IA Analysis I 2014

This term I shall be giving Cambridge’s course Analysis I, a standard first course in analysis, covering convergence, infinite sums, continuity, …

### This paper clears up what was an odd gap between the blowup a…

This paper clears up what was an odd gap between the blowup and global regularity theory for certain simplified toy models of the Navier-Stokes equation. To vary the comparative strength between the nonlinear and dissipative components of Navier-Stokes, one can replace the dissipative Laplacian term in the true Navier-Stokes equation with a hyperdissipative term (a power of the Laplacian with exponent alpha larger than one) or a hypodissipative term (a power with exponent alpha less than one). …

### A few analysis resources

This will be my final post associated with the Analysis I course, for which the last lecture was yesterday. It’s possible that I’ll write further …