Component-free treatment of tensors
Okay, so imagine you have a bunch of blocks of different colors and shapes. Let's call them "tensors". If you want to do math with these tensors, you might have to break them down into smaller pieces, like counting how many red blocks you have or how many squares there are.
But, what if you don't want to break them down like that? That's where component-free treatment of tensors comes in. It's like playing with the tensors as a whole, without worrying about the little details.
It's kind of like how you can play with a bunch of blocks without having to count them or sort them by color. You can stack them, arrange them, and build things with them without worrying about the individual pieces.
So, component-free treatment of tensors is just a way to work with tensors without breaking them down into smaller pieces or components.
But, what if you don't want to break them down like that? That's where component-free treatment of tensors comes in. It's like playing with the tensors as a whole, without worrying about the little details.
It's kind of like how you can play with a bunch of blocks without having to count them or sort them by color. You can stack them, arrange them, and build things with them without worrying about the individual pieces.
So, component-free treatment of tensors is just a way to work with tensors without breaking them down into smaller pieces or components.