• purplemonkeymad@programming.dev
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    27 days ago

    But a grid can just be a number with a list of numbers. A tensor is just two numbers with a list of numbers. A n-tensor is just two lists of numbers. Two lists can be combined with a number to indicate when they split. If we put that number at the start of the list, then we just have a list.

    Everything is just a list of numbers.

  • Dadifer@lemmy.world
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    27 days ago

    A tensor is a special box of numbers that doesn’t change under coordinate transformation.

    • Kogasa@programming.dev
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      26 days ago

      Which is really a roundabout way of saying a tensor is a multilinear relationship between arbitrary products of vectors and covectors. They’re inherently geometric objects that don’t depend on a choice of coordinate system. The box of numbers is just one way of looking at a tensor, like a matrix is to a linear transformation on a vector space

  • affiliate@lemmy.world
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    27 days ago

    a tensor is just an element of a tensor product. and a tensor product is just a way to multiply algebraic structures

  • dohpaz42@lemmy.world
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    27 days ago

    Can you all keep it down! You’re mathing too loudly for this time of night. Some of us have to get up early(ish).