Brownian Motion Was Plain Yogurt—How I Discovered the Joy of Mathematics Over 20 Years

I have been thinking about Brownian motion a lot lately.Random walks, Gaussian distributions, Ito calculus, stochastic differential equations, and diffusion equations.As I researched these, a certain ...

Pascal's Triangle, Binomial Distribution, and Normal Distribution

This is a story about how Pascal's triangle, the binomial distribution, and the normal distribution are all connected.The Galton board and Pascal's triangleIn a famous device called a Galton board, ...