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「The Golden-Thompson inequality」：数学直觉如何落到可检验的步骤
Let be two Hermitian matrices. When and commute, we have the identity Wh…
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把「Lindenstrauss, Ngo, Smirnov, Villani」写成可执行的阅读路径
As is now widely reported, the Fields medals for 2010 have been awarded …
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把「Spielman, Meyer, Nirenberg」写成可执行的阅读路径
In my previous post, I briefly discussed the work of the four Fields med…
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「Course announcement: 245A, Real analysis」笔记：问题从哪来、证明卡在哪
In a few weeks (and more precisely, starting Friday, September 24), I wi…
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「245A, prologue: The problem of measure」笔记：问题从哪来、证明卡在哪
One of the most fundamental concepts in Euclidean geometry is that of th…
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「A first draft of a non-technical article on univ」笔记：问题从哪来、证明卡在哪
The month of April has been designated as Mathematics Awareness Month by…
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把「245A, Notes 1: Lebesgue measure」写成可执行的阅读路径
In the prologue for this course, we recalled the classical theory of Jor…
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读懂「A second draft of a non-technical article on uni」：先把定义、反例和适用范围钉死
I’ve spent the last week or so reworking the first draft of my universal…
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「245A, Notes 2: The Lebesgue integral」：数学直觉如何落到可检验的步骤
In the previous notes, we defined the Lebesgue measure of a Lebesgue mea…
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「Deterministic methods to find primes」笔记：问题从哪来、证明卡在哪
I’ve uploaded to the arXiv the polymath research paper “Deterministic me…