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「254B, Notes 6: The inverse conjecture for the Go」笔记：问题从哪来、证明卡在哪
In Notes 5, we saw that the Gowers uniformity norms on vector spaces in …
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读懂「An inverse theorem for the Gowers norm U^{s+1}[N」：先把定义、反例和适用范围钉死
Ben Green, Tamar Ziegler, and I have just uploaded to the arXiv the note…
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把「254B, Lecture Notes 7: The transference principl」写成可执行的阅读路径
In this, the final lecture notes of this course, we discuss one of the m…
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读懂「The Euler-Arnold equation」：先把定义、反例和适用范围钉死
A (smooth) Riemannian manifold is a smooth manifold without boundary, eq…
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读懂「Future mini-polymath project: 2010 IMO Q6?」：先把定义、反例和适用范围钉死
About a year ago, as an experiment, I set up on this blog a “mini-polyma…
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「Organising mini-polymath2」：数学直觉如何落到可检验的步骤
This is a continuation of the preceding post regarding the setting up of…
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把「The uncertainty principle」写成可执行的阅读路径
A recurring theme in mathematics is that of duality: a mathematical obje…
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把「Finitary consequences of the invariant subspace」写成可执行的阅读路径
One of the most notorious open problems in functional analysis is the in…
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读懂「Mini-polymath2 discussion thread」：先把定义、反例和适用范围钉死
I’ve just opened the Mini-polymath2 project over at the polymath blog. I…
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「Cayley graphs and the geometry of groups」笔记：问题从哪来、证明卡在哪
In most undergraduate courses, groups are first introduced as a primaril…