Welcome to my new blog

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Welcome to My New Blog
Hi all! I finally decided to have some blog with mathematical notes (I do not want to publish anything not concerning mathematics here, in particular this is why everything is assumed to be in “English”). I would continue on rus4.livejournal.com, but unfortunately livejournal does not support formulae and the easiest way to fix it seems… Read more

e⩽π
Mathematicians do like giving proofs of known results from some specific point of view. Here goes the combinatorial proof of the inequality To be precise, I define our heroes. is a length of a halfcircle of the unit radius, and is the common point of the segments The idea is that for a positive integer… Read more

Lowlevel variant of Huang’s argument for sensitivity conjecture
Consider the set of all words , over the alphabet (the vertices of Boolean cube). We naturally multiply the words by concatenation: if , then . For and denote by the word which differs from only in th position. Clearly the operators are involutive and mutually commute. We further use the same notations for different… Read more
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