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Can anyone describe to me the formal mathematical definition of a tensor? I've done some research on tensors and I've been having trouble piecing together a general definition. Or do tensors vary depending on the mathematical or physical paradigm in question? Also, what will I be using tensors for (I'm a pure math major) and how do they relate to "tensor products?"

I'll be learning more about tensors and tensor products this year in my study of Algebra, but I wanted a bit of a head start. :) Thanks everyone!

Regards,

Zach

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# What is a tensor?

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