Yurii Shevchuk's blog

In this article, I will show that many of the properties of the Knuth's numbers can be understood by imagining a rather impractical memory device which can be directly connected to the Knuth's numbers. In addition, the recursive construction process of the numbers can tell us how to create such a device.

Article aims to correct claims made about the martingale betting strategy in the Numberphile video and show that actual probability is equal to 50% rather than 1/e as has been stated in the video.

Three solutions to one of the problems from the Putnam's exam.

Solution to the FiveThrityEight's puzzle which includes general intuition and prove for game with an arbitrary number of milk and black chocolates.

Range is quite an unusual data structure for SQL queries and chaining these ranges is not straightforward. This article shows how to implement a solution to a very specific problem involving ranges. In addition to the solution there is a proof which shows that the proposed algorithm works for every possible set of ranges.

Solution to the FiveThrityEight's puzzle which includes general proof for dices with arbitrary number of sides.

My solutions to the non-geomertical problems from the IMO 2019

Solution to my favorite problem from the IMO 2019

Article derives an algorithm which allows to find the best possible approximation to a discrete uniform distribution when only elimination of the items is allowed.