ELI5: Explain Like I'm 5

Hessian equation

The Hessian equation is a mathematical idea that helps us understand how things are shaped or curved. Imagine you have a bumpy hill in front of you. When you walk on the hill, you can feel the bumps and curves under your feet. The Hessian equation helps us measure how bumpy the hill is by looking at the slopes or angles on different parts of the hill.

To understand this idea better, let's use a simpler example. Imagine you have a flat piece of paper in front of you. The paper has four corners and is made up of four line segments. If you were to grab the top of the paper and pull it up, you would make the paper into a cone shape. The Hessian equation would help us measure how curved or bumpy the cone shape is by looking at the slopes or angles of different parts of the cone.

Overall, the Hessian equation is a way to measure how curved or bumpy things are, and it helps us understand the shapes of things in math and science.