Convex optimization

Okay kiddo, let's talk about convex optimization! Have you ever played with a ball? A ball is convex because its surface is smooth and curved outward. That means if you put a piece of paper or a ruler on the ball, it will touch the ball at only one point.

Now imagine we have a bunch of balls and we want to stack them in a way that they do not fall. This is like an optimization problem. We want to find the best way to stack the balls that keeps them stable.

Convex optimization is a kind of math that helps us solve problems like stacking those balls. It's called "convex" because it deals with shapes that are smooth and curved outward, just like a ball.

In real life, we use convex optimization to solve problems like how to minimize the time it takes to travel from one place to another, or how to maximize profits for a business. We use math to find the best solution that keeps things stable and balanced, just like the stack of balls.

I hope that helps you understand convex optimization a little better, kiddo!