Okay kiddo, have you ever played with building blocks? You know how you can stack them on top of each other and create a tower? Well, a formal scheme is like building blocks for math problems!
Imagine you have a really, really complicated math problem. It's so complicated that you can't just solve it in your head or with a calculator. You need a way to break the problem down into smaller, simpler parts. That's where formal schemes come in.
A formal scheme is a set of instructions or rules that you can use to break down a complicated math problem into smaller parts. It's like building a tower out of different sized blocks. You start with the biggest blocks and then add smaller blocks on top until you have a complete tower.
In math, you might use a formal scheme to solve a problem that involves a lot of complicated equations or variables. You start with the main equation or problem that you want to solve, and then you use the formal scheme to break down that problem into smaller parts. You might use different rules or steps to solve each part of the problem, kind of like using different blocks to build a tower.
Once you've solved all the smaller parts of the problem, you put everything back together to get the final answer. It's kind of like taking apart a tower of blocks and then putting them back together in a different order to create a new tower.
So, that's what a formal scheme is! It's like a set of building blocks that you can use to solve really complicated math problems. Pretty cool, right?