ELI5: Explain Like I'm 5

Grassmann

Grassmann is a type of math that helps us understand how things relate to each other in something called "vector space". Think of vector space like a big playground with lots of different toys to play with. In this playground, we can move these toys around and do lots of different things with them, like add them together, stretch them out or shrink them down.

Grassmann math is like a set of rules that helps us keep track of all these different things we can do with our toys. It's like having a set of instructions that tells us how to play with them in a really cool and fancy way.

So, let's say we have two toys, a car and a ball. We can think of these as "vectors" in our vector space playground. Grassmann tells us that we can take these two vectors and add them together to make a new "sum" vector. It's like we're combining the car and ball into a new "toy" that is made up of both of them.

We can also stretch our vectors out or shrink them down to make them longer or shorter. Grassmann tells us how to do this in a really clever way. It's like we have a magic wand that can change the size of our toys without losing any of the important information about them.

So, in summary, Grassmann is a fancy kind of math that helps us understand how to play with vectors in a cool and sophisticated way. It's like having a set of rules that tell us how to make the most of our toys in our vector space playground.