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This is a blog written by Long Le (vietlong.lenguyen@gmail.com).
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Visible lattice point
Introduction Imagine you're a creepy stalker whose curious pastime is to observe your neighbors through your super-telescope. Y...
Linear Congruence and Fermat Theorem
Prerequisite This article assumes basic knowledge of congruence (what it means ect...), if you find this assumption outrageo...
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 ...
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...
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...
Multinomial Theorem
Prerequisite Knowledge of Factorial Where magic happens We start off by asking the question: how many ways are there to arrange ...
Pythagorean Equation
Introduction We're all familiar with the equation $x^2+y^2=z^2 (1)$ describing the relationship between the sides of ...
Abstract Algebra: the basic
Your rich uncle wants you! For motivation, let's consider this practical question. Your uncle owns a necklace shop. He wants to...
Euler's totient function (Fine!)
Introduction Euler's Totient Function , $\phi$ (called Phi), is of significant importance in Number Theory. $\phi(n)$ denotes the...
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