Archive for January, 2017

I found a question on mathoverflow, it asks “is there  exists irrational numbers a and b such that a^b is rational”.

Obviously, if you let a=e, b=\log 3, then a^b=e^{\log 3}=3 is rational.

But someone gave a very interesting proof.


You don’t have to know whether \sqrt{2}^{\sqrt{2}} is rational or not, you can just get the answer. That is a clever trick.


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I found a quite interesting site http://memtropy.com/proofs-without-words/, if you can understand what it says, click it and see more.


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Low Dimensional Topology

Recent Progress and Open Problems

Gowers's Weblog

Mathematics related discussions

Fight with Infinity

Wir müssen wissen, wir werden wissen

The polymath blog

Massively collaborative mathematical projects

Chris Aldrich

Musings of a Modern Day Cyberneticist

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Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Tao