The Least Squares Method is a way to find the best-fitting line for your data. It might sound complicated, but it’s similar to thinking you do in everyday life. Example: Ice Cream Sales and Temperature You run an ice cream shop. Every day, you record the highest temperature of the day and how many ice creams you sell. Highest… Read More »
When you hear the term chaos theory, it sounds like a complex, unmanageable world of mathematics, but in fact it is at work behind the scenes of familiar phenomena and the infrastructure that supports our daily lives. Chaos theory is a field of study that discovers consistent rules and patterns in complex phenomena that may at first glance appear… Read More »
Simply put, chaos theory deals with “behavior that follows set rules but becomes nearly impossible to predict over the long term.” It’s not “completely random” like rolling dice; rather, it has a cause-and-effect formula (determinism), yet the future remains unpredictable. 1) Three Key Features to Understand First① Determinism (fixed rules) It’s a world in which the same conditions… Read More »
The Mathematics of the Mandelbrot SetThe Mandelbrot set is a famous example of Chaos Theory and fractal geometry. zn+1=zn2+c Python code for the Julia Set Python Implementation for Julia Set This script generates a classic, aesthetically pleasing Julia set using c=−0.7+0.27015j