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This is a blog written by Long Le (vietlong.lenguyen@gmail.com).
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Derangments
If you ain't one of those normies who go to Youtube to see cat videos, you've probably already checked out Numberphile's lat...
Top nerdy things you can do with card shuffle: Group Theory
Source: Pinterest Card shuffle and nerdy things You get together with your friends to play Poker. Five minutes into the game and yo...
Multiplication on Natural Numbers
Multiplication on Natural Numbers We now move on to multiplication. Similar to addition, multiplication can be defined recursively, but now...
Visible lattice point
Introduction Imagine you're a creepy stalker whose curious pastime is to observe your neighbors through your super-telescope. Y...
Pythagorean Equation
Introduction We're all familiar with the equation $x^2+y^2=z^2 (1)$ describing the relationship between the sides of ...
Partition, Sieve Method and Stirling Number
Partition: Distinguishability We're interested in the question: how many ways to give out candies to kids? The answers will ...
Euclidean Algorithm and Wilson Theorem
Goal We seek to prove the famous Wilson Theorem: $(p-1)! \equiv (-1) \pmod{p}$ for odd prime $p$ The easy way to prove...
Addition on Natural Numbers
Addition on Natural Numbers We will define addition recursively. But before we are able to do it, we must prove that recursive definition ...
Generating Function
An irrelevant Biblical reference to illustrate that multiplication is prevalent in Combinatorics Introduction ...
Factorial !!!!! Problem of choosing chairs
Suppose you have three friends Alice , Bob and Conor , who are wondering in how many different ways they can seat in a row of three c...
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