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fabricebaudoin.blog
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| | | | | Exercise 1.Solve Exercise 44 in Chapter 1 of the book. Exercise 2.Solve Exercise 3 in Chapter 1 of the book. Exercise 3.Solve Exercise 39 in Chapter 1 of the book. Exercise 4.The heat kernel on $latex \mathbb{S}^1$ is given by $latex p(t,y) =\frac{1}{2\pi}\sum_{m \in \mathbb{Z}} e^{-m^2 t} e^{im y} =\frac{1}{\sqrt{4\pi t}} \sum_{k \in \mathbb{Z}} e^{-\frac{(y... | |
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fabricebaudoin.blog
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| | | | | Let $latex x\in C^{1-var} ([0,T], \mathbb{R}^d)$ and let $latex V : \mathbb{R}^e \to \mathbb{R}^{e\times d} $ be a Lipschitz continuous map. In order to analyse the solution of the differential equation, $latex y(t)=y_0+\int_0^t V(y(s)) dx(s),$ and make the geometry enter into the scene, it is convenient to see $latex V$ as a collection of vector... | |
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roamingurbangypsy.com
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| | | | | A Great Photography Web Blog | |
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ultracrepidarian.phfactor.net
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| | | I was using the SX-6 coaster and realized how many I have that are mementos of things past. Leaded plastic from my time in the X-ray lab. LabView, ditto. NSA back from when Chris interviewed there. Not sure where I got the SX-6 and National Data coasters. Proust had madeleines, I guess, and I have... | ||