Ok kiddo, let’s imagine you are playing with Legos. You know when you start to build something that has more than one piece, like a tower or a bridge, you need to start by connecting the pieces.
The intermediate Jacobian is a bit like connecting different Lego pieces. In math, it helps us understand how different parts of a complex object are connected to each other.
Imagine you have a big picture made of smaller pieces. Each small piece represents a point in space, and all of them together make up the bigger picture. Now, if you want to change the shape of the big picture, you need to know how each small piece needs to move.
That’s where the intermediate Jacobian comes in! It’s like a map that tells you how each point is related to the others in the big picture. With this map, you can move the small pieces and the whole picture will change accordingly, like when you move a Lego piece and the whole structure is affected.
So, just like building with Legos, the intermediate Jacobian helps mathematicians understand how different parts of a complex object are related to each other.