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 Euler’s formula e^ix = cos x + i sin x: a geometric approach
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 Weighted isoperimetric inequalities in warped product manifolds
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 Why is a² + b² ≥ 2ab ?
 A remark on the divergence theorem
 The CauchySchwarz inequality and the Lagrange identity
 On the existence of a metric compatible with a given connection
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a note of Professor Simon Donaldson talk The Ding functional, Berndtsson convexity and moment maps.
It is a note of Professor Simon Donaldson talk The Ding functional, Berndtsson convexity and moment maps. The notes is on the link above. Advertisements
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A meta post, and two articles
1. Is there any way to support MathJax here? It can translate directly the latex code to display math. It is supported on blogspot, I find it more convenient. 2. I believe many of us come across some very good articles … Continue reading
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The 100th post
This is the 100th post of this blog. As a very senior (translated as old) blogger here, I take the liberty of posting the 100th post. The honor should have gone to other people, most notably KKK, who wrote almost … Continue reading
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Brownian motion and the classical Dirichlet problem 0: Introduction
In this sequence of posts I will present a probabilistic solution of the classical Dirichlet problem using Brownian motion. I will follow the structure of the book Green, Brown and Probability and KaiLai Chung with some little changes and somewhat … Continue reading
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