Comment on number box o number box

OpenStars@piefed.social ⁨5⁩ ⁨days⁩ ago

• verstra@programming.dev ⁨5⁩ ⁨days⁩ ago

  What has to be linear? Vector?matrix? Tensor? Neither makes sense

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  • OpenStars@piefed.social ⁨5⁩ ⁨days⁩ ago

    You lost me at vectors not having to be linear. You can apply nonlinear functions or operations to vectors, but doing so transforms them into a different, non-linear context, afaik. We might be using different definitions of some of these terms, especially "linear".

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• NoneOfUrBusiness@fedia.io ⁨5⁩ ⁨days⁩ ago

  "Linear" describes transformations, not numbers.

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  • OpenStars@piefed.social ⁨5⁩ ⁨days⁩ ago

    Isn't a tensor a multilinear map taking as input a tensor and outputting another tensor?

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    • Eq0@literature.cafe ⁨4⁩ ⁨days⁩ ago

      Also, but that is because math likes to reuse names like Donald Duck reuses his jacket…

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    • NoneOfUrBusiness@fedia.io ⁨5⁩ ⁨days⁩ ago

      You just used "tensor" to define "tensor," but also any list of number formulated as an n-dimensional matrix will satisfy this criterion. A tensor is both a linear transformation and an n-dimensional box-shaped list of numbers, but there's nothing such as a linear list of numbers.

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