a homeschooling blog about Simon, a young mathematician and programmer, and his little sister Neva. Visit https://simontiger.com
In mid-September, Simon spent a couple days learning how to build a Feed Forward Neural Network, together with a friend. It all started after the friend shared a cool business … Continue reading On Machine Learning and Self-Directed Learning
It never seizes to mesmerize me how Simon sees math. So many times has he solved math problems or proved theorems relying on visual, geometric illustrations instead of bluntly applying … Continue reading Simon Shares his Derivatives Tricks: Visualizing Calculus
I’ve worked out a formula for e! This came up when I was looking for an antiderivative, if n isn’t equal to 1: if n is equal to 1, then … Continue reading Formula for e
Simon: “The direct formula for the position of a pendulum is not what you might think”. Simon’s code for spring and graph: https://editor.p5js.org/simontiger/sketches/mWp6gQLxz Simon’s code for pendulum with directed fields: … Continue reading Science on the Balcony: Position of a Pendulum
A little over a month ago, Simon picked up neural networks again (something he had tried a while ago but couldn’t grasp intuitively). He started the Artificial Neural Networks course … Continue reading Math for Neural Networks and Calculus Fundamentals via Brilliant.org
To solve the problem, Simon chooses not to look up what the derivative of a tangent is but work everything out from scratch. He generally doesn’t like rote learning but … Continue reading Simon differentiating 3tan(2x)
“Are you impressed?” – Simon asks, laughingly, and I can see it must be a pun. We are in bed, reading up on Newton’s laws of motion that talk of … Continue reading Impressions on Newton’s mechanics.
The idea comes from a video by Mathologer. Simon sketches a geometric definition of the Euler’s number (e) using integrals. He messed up a little with the integral notation, but … Continue reading Geometric Definition of e
Simon has been watching a lot of Siraj Raval’s videos on neural networks lately, brushing up his Python syntax and derivatives. He has even been trying the great Jupyter editor, … Continue reading Introducing Siraj Raval
Simon explains why he slightly changed Daniel Shiffman’s Lorenz Attractor Coding Challenge: Simon used four variables instead of 11. The Lorenz system is a system of ordinary differential equations, first … Continue reading Simon’s Changes to the Lorenz Attractor Coding Challenge
Geeks out of the box 