Math Day 6: Goldbach Conjecture Trial in Python: Because of the dramatical story of Chen jing run(陈景润), Chinese society has a special sentimental enthusiasm attached to the Goldbach Conjecture. Majority of the public think it is the most difficult and fascinating maths problem in the world. The truth is Goldbach Conjecture is extremely easy to understand, yet remains unproven. Goldbach’s…

# Category: Mini Math Note

## Fibonacci sequence in Music and Python

Math day 5: Fibonacci Sequence Fibonacci Sequence and Music In western music theory, we know an octave including 13 notes: C, C#, D, D#, E, F, F#, G, G#, A, A#,B, C (1,1#,2,2#,3,4,4#,5,5#,6,6#,7,i) Is there anything special about numbers 13?

## Linear Diophantine Equation 2

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“.

## 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…

## Mini algebra 1

Abstract Algebra is my favorite Math categories; it totally opened a new world for me. 2+2 is not necessarily equal to 4 anymore; we could not take a+b = b+ a for grant ; logos or pictures have mathematical meaning presentations….. The foundation of Contemporary Algebra is built on the concept of Group. Some math genius got so bored so they started…