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Introduction Imagine you're a creepy stalker whose curious pastime is to observe your neighbors through your super-telescope. Y... -
Overview This is my study note while reading Analysis by Terence Tao. This is a very interesting and enlightening book. We will ... -
Multiplication on Natural Numbers We now move on to multiplication. Similar to addition, multiplication can be defined recursively, but now... -
Source: Pinterest Card shuffle and nerdy things You get together with your friends to play Poker. Five minutes into the game and yo... -
Addition on Natural Numbers We will define addition recursively. But before we are able to do it, we must prove that recursive definition ... -
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... -
Goal We seek to prove the famous Wilson Theorem: $(p-1)! \equiv (-1) \pmod{p}$ for odd prime $p$ The easy way to prove... -
Introduction We're all familiar with the equation $x^2+y^2=z^2 (1)$ describing the relationship between the sides of ... -
Partition: Distinguishability We're interested in the question: how many ways to give out candies to kids? The answers will ... -
Your rich uncle wants you! For motivation, let's consider this practical question. Your uncle owns a necklace shop. He wants to...