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This is a blog written by Long Le (vietlong.lenguyen@gmail.com).
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Natural Numbers: Foundational Peano's Axioms
Overview This is my study note while reading Analysis by Terence Tao. This is a very interesting and enlightening book. We will ...
Visible lattice point
Introduction Imagine you're a creepy stalker whose curious pastime is to observe your neighbors through your super-telescope. Y...
Generating Function
An irrelevant Biblical reference to illustrate that multiplication is prevalent in Combinatorics Introduction ...
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...
Multinomial Theorem
Prerequisite Knowledge of Factorial Where magic happens We start off by asking the question: how many ways are there to arrange ...
Linear Congruence and Fermat Theorem
Prerequisite This article assumes basic knowledge of congruence (what it means ect...), if you find this assumption outrageo...
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...
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...
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...
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 ...
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