‘Seven Brief Lessons On Physics’, by Carlo Rovelli, is a divulgation physics book that introduces people to the nicest and most modern problems of physics. As you can imagine, it is divided into seven parts and a preface. The peculiarity of this book is that not only it covers a lot of contemporary theories and […]

# Month: January 2021

## Chess Game #2

I played this game with the black pieces. It was not a perfect game, but it really shows how disregarding an attack can result in problems. 1. e4 g6 2. d4 Bg7 3. Nf3 d5 4. e5 c5 5. c3 Nc6 6. Bb5 Bg4 7. h3 Bxf3 8. Qxf3 cxd4 9. cxd4 a6 Instead of […]

## Jason Richardson

Jason Richardson is probably the most precise guitar virtuoso I’ve ever seen. His alternated picking technique and sweep picking are clean and perfect. His signature guitar is the ‘Ernie Ball Music Man Jason Richardson Artist Series Cutlass’, and has 7 strings. I’ve first got to know him by his featuring solos in Polyphia’s ‘Aviator’ and […]

## Very Elegant Image Color Segmentation

Let’s start with this suggestive image of a tree with pink flowers on it. What I want to do is simplifying it to see its main colors. How can I do it? Well, here some unsupervised learning techniques may come in handy. Clustering the pixels of the image, which are no other than points in […]

## A Constructive Combinatorics Proof

There is a positive integer in each square of a rectangular table. In each move, you may double each number in a row or subtract 1 from each number in a column. Can you arrive to a situation where there are only zeros on the table? How Should These Kind Of Problems Be Approached In […]

## Zero To One

I recently started to be interested in business and start-ups, so I decided to read Peter Thiel’s ‘Zero To One’. This book talks about how to create innovation and let your start-up grow. Thiel says that copying something that already existed brings the world from 1 to n, meaning that by doing so you can […]

## Recursive Solution To A Nice Problem

There is a frog jumping on lily pads labeled with natural numbers. It’s on the 2015th lily pad and can either go one step forward or backwards, except if it at any time is on a lily pad divisible by 6 it has to go forward. How many 15-steps paths are possible? The problem is […]

## Plotting Epicycloids

An epicycloid is the figure that a fixed point of a circle draws when the circle rotates on the circumference of another one. How to plot such things in Python? There is a trick: such figures depend on the ratio of the still circle’s and the rotating circle’s radius. Let’s say we have an integer […]

## Python Basic Stock Predictor

Machine learning in economy is very important, and one of its application is predicting the behavior of the stock market. How can you do that, the idea is creating a model that reads the previous graph of the market and gives the predicted behavior as output. To do so, one cannot use the simple Tensorflow […]

## Happy 2021!

Happy 2021 everyone! As a way to start out the new year, what’s better than an article about the mathematical properties of the number 2021 to prepare for the next Mathematical Team Competitions? To start out, 2021 is not a prime number, its factorization is: Hence, be prepared for a lot of chinese remainder theorem […]