Review: Last time, we went over the basic theorems of Linear Diophantine Equation. This time, we will focus on how to solve the problem. One of the most famous examples is “Chicken Bunny in the Same Cage“.

# Category: Maths

## Linear Diophantine Equation1

In Number Theory Class, Dr.Cavior told us a real story, One Sunday morning 🌞, he just made a cup of freshly brewed coffee☕ and started to read a book 📒, then he got a call from a friend ☎. The friend was asking for his help with a 1 Million Dollars McDonald’s Puzzle that she was trying for couple days!

## Geometric Series with Python

Background Story : There were a couple of mathematicians went to a bar, the first guy ordered one beer, the second guy asked for 1/2 of a beer, the third guy asked for 1/4 of a beer, the fourth ordered 1/8 of a beer, and so on… The hot bartender rolled her eyes, poured two beers, and says, “Here, you…

## The Chinese Remainder Theorem

Chinese Remainder Theorem Background Story: back in the Han dynasty, there is a famous General Han Xin. In order to prevent the spy in the army to detect the number of his soldiers, he used an advanced Counting System (韩信点兵). Instead off directly counting from 1 to n, he asked his soldiers to number off from 3 times. First time 1…

## Collatz Conjecture

Python Day 4: Collatz Conjecture Some of the students used to ask me, why do we have to learn calculus? I told them because if they are good at calculus then they may good at abstract algebra and number theory, and eventually can be the front page of the People’s Magazine like Andrew Wiles. (Andrew Wiles proved Fermat’s Last Theorem).

## Derivative

Derivatives 1:

Derivative is one of my favorite concepts; it is the fundamental idea of calculus.

Derivative represents the rate of instantaneous change at the point a.

Math started to make sense to me systematically from calculus.

One application is

S(t): Distance

S'(t) = v(t) : velocity

S”(t)= v'(t)= a(t): accerlation

and dont forget S”'(t)= jerk 🙂

Happy studying!

## The Game of 31

Thirty-One: Last weekend, 77 recommended me to watch a TV shows, High Intelligent Players, 高能玩家. Among the games they played, there is a game of 31, I think it is very interesting.

## Fun Numbers

Python Day 3: Finding Fun Numbers All the maths fans know the story about 1729, the Ramanujan Number. One day Hardy visited Ramanujan in the hospital and said he took a taxi with a boring licence number, 1729. Ramanujan said: it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways.

## I-topology

#### Topology 1:

I never really understood any topology classes while in school, but I enjoyed all the fancy torus Dr.Bazeyach drew. I saw this picture from ins #math. I thought it is very cute 🙂

## 2019

Every number is interesting if we are willing to explore it!