ELI5: Explain Like I'm 5

Parametrix

Imagine you have a big puzzle to solve, and you don't know what the final picture looks like. You start by putting together some pieces that you know for sure where they belong. But there are still some gaps, and you don't know which pieces fit there.

Parametrix is like a helper that gives you a good guess of what pieces might fit in those gaps. It's not always the exact solution, but it's very close and helps you move forward.

In more technical terms, imagine you have a very complicated equation that you need to solve. Sometimes, it's impossible to solve the equation directly, so you need to use approximation methods. Parametrix is a type of approximation method that helps you get a close enough answer by guessing some parts of the solution, based on what you already know.

So, parametrix is like a puzzle helper or an equation solver helper that helps you find the missing pieces or solutions, even if you don't know exactly what they are.