Tensors

Comments

• theblueredditrefugee@lemmy.dbzer0.com ⁨3⁩ ⁨months⁩ ago

  The difference between a matrix and a 2d array of numbers is the operations that are performed

  A tensor really isn’t standardized in the same way so it’s basically just an n-d array in my mind

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  • leisesprecher@feddit.org ⁨3⁩ ⁨months⁩ ago

    It’s all just pointers with semantics attached.

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    • socsa@piefed.social ⁨3⁩ ⁨months⁩ ago

      Vectors with strides.

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  • ZILtoid1991@lemmy.world ⁨3⁩ ⁨months⁩ ago

    You can force a 2D array to be a matrix if you’re clever enough

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  • azi@mander.xyz ⁨3⁩ ⁨months⁩ ago

    good ol’ nominal typing

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  • Hawk@lemmynsfw.com ⁨3⁩ ⁨months⁩ ago

    Well, it would still be a vector. So some standardisation.

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• muntedcrocodile@lemm.ee ⁨3⁩ ⁨months⁩ ago

  Everything’s a matrix if u fuck with it hard enough

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  • ignotum@lemmy.world ⁨3⁩ ⁨months⁩ ago

    Everything’s a matrix if you realize there is no spoon

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    • UnRelatedBurner@sh.itjust.works ⁨3⁩ ⁨months⁩ ago

      Sadly, they patched the spoon exploit.

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• marcos@lemmy.world ⁨3⁩ ⁨months⁩ ago

  How you describe a thing is different from what a thing is… A tensor is not a matrix.

  And on mathematics, “what a thing is” is a completely useless concept… So, it makes no difference whatsoever.

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  • affiliate@lemmy.world ⁨3⁩ ⁨months⁩ ago

    the “categorical” way of defining tensor products is essentially “that thing that lets you turn multi-linear maps into linear maps”, and linear maps (of finite dimensional vector spaces) are basically matrices anyways. so i don’t see it as much of a stretch to say tensors are matrices.

    (can you tell that i never took a physics class?)

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• mumblerfish@lemmy.world ⁨3⁩ ⁨months⁩ ago

  A tensor is something that transform as a tensor. Gtfo Christoffel symbols.

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  • vzq@lemmy.blahaj.zone ⁨3⁩ ⁨months⁩ ago

    Duck typing ftw

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• tatterdemalion@programming.dev ⁨3⁩ ⁨months⁩ ago

  Matrices are linear endomorphisms. They are isomorphic to (1,1) tensors, but not any other rank of tensors.

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  • affiliate@lemmy.world ⁨3⁩ ⁨months⁩ ago

    a tensor is a multi-linear map V × … × V × V^^ × … × V^^ → F, and a multi-linear map V × … × V × V^^ × … × V^^ → F is the same as a linear map V ⊗ … ⊗ V ⊗ V^^ ⊗ … ⊗ V^^ → F. and a linear map is ““the same thing as”” a matrix. so in this way, you can associate matrices to tensors. (but the matrices are formed in the tensor space V ⊗ … ⊗ V ⊗ V^^ ⊗ … ⊗ V^^, not in the vector space V.)

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