number box o number box

Comments

• Droggelbecher@lemmy.world ⁨3⁩ ⁨hours⁩ ago

  A scalar is just a 0th order tensor

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• Dadifer@lemmy.world ⁨7⁩ ⁨hours⁩ ago

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

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  • Eq0@literature.cafe ⁨6⁩ ⁨hours⁩ ago

    Where does this definition come from?

    All the geometric definitions of tensors I have met always assumed a base, such that a change of coordinate or of parametrization would change the values of the tensor. Unless you define the tensor by its action instead of its values?

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    • Dadifer@lemmy.world ⁨33⁩ ⁨minutes⁩ ago

      Tensors are defined independent of any basis, although they are often referred to by their components in a basis related to a particular coordinate system; those components form an array, which can be thought of as a high-dimensional matrix.

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  • exocortex@discuss.tchncs.de ⁨6⁩ ⁨hours⁩ ago

    Isn’t a tensor the generalization of scalar, vector matrix and so on? (PLUS the invariance under coordinate transforms?)

    A box would be 3-dimensional indicating that tensors have 3 indices when in reality they have n-indices. Ir am i reading it wrong?

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    • Dadifer@lemmy.world ⁨36⁩ ⁨minutes⁩ ago

      It’s an n-dimensional box

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• Neverclear@lemmy.dbzer0.com ⁨1⁩ ⁨day⁩ ago

  To approach from another angle…

  Tensors are generalizations of scalars (that have no indices), vectors (that have exactly one index), and matrices (that have exactly two indices) to an arbitrary number of indices.

  mathworld.wolfram.com/Tensor.html

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  • PlexSheep@infosec.pub ⁨16⁩ ⁨hours⁩ ago

    That makes a lot of sense

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• socsa@piefed.social ⁨1⁩ ⁨day⁩ ago

  Excuse me, but a tensor is actually a blob of numbers which extends the concept of a matrix to a sequence and stride data structure.

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  • marduk@lemmy.sdf.org ⁨23⁩ ⁨hours⁩ ago

    Caught one!

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• zo0@programming.dev ⁨1⁩ ⁨day⁩ ago

  Avengers Endgame is just a sequence of numbers

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  • scrubbles@poptalk.scrubbles.tech ⁨1⁩ ⁨day⁩ ago

    All of creation is just a stream of numbers

    And we call that physics

    And that is beautiful

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    • zo0@programming.dev ⁨1⁩ ⁨day⁩ ago

      Your mom is an endless stream of numbers

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• TigerAce@lemmy.dbzer0.com ⁨13⁩ ⁨hours⁩ ago

  A Pi is just an endless string of numbers.

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  • Opisek@lemmy.world ⁨6⁩ ⁨hours⁩ ago

    Hnghhhhh I can’t agree. Its decimal representation is an endless string of digits, yes. However, in base π, π is represented by only one digit.

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    • TigerAce@lemmy.dbzer0.com ⁨5⁩ ⁨hours⁩ ago

      3.14% of sailors are pirates.

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• purplemonkeymad@programming.dev ⁨17⁩ ⁨hours⁩ 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.

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• dohpaz42@lemmy.world ⁨22⁩ ⁨hours⁩ 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).

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• kibiz0r@midwest.social ⁨1⁩ ⁨day⁩ ago

  You really did a number on this one

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  • InnerScientist@lemmy.world ⁨19⁩ ⁨hours⁩ ago

    He’s doing numbers!

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• someacnt@sh.itjust.works ⁨1⁩ ⁨day⁩ ago

  A tensor is one that transforms like a tensor 🤯

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• affiliate@lemmy.world ⁨19⁩ ⁨hours⁩ ago

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

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• luciole@beehaw.org ⁨1⁩ ⁨day⁩ ago

  You’re quite a number bee hat tip emoji

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• Sivecano@lemmy.dbzer0.com ⁨17⁩ ⁨hours⁩ ago

  And this is the reason why no one knows what a tensor is. (This also completely blows up in your face as soon as you have infinite dimensions)

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• OpenStars@piefed.social ⁨1⁩ ⁨day⁩ ago

  I mean... it also has to be linear too, but sure okay ☺️

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  • verstra@programming.dev ⁨1⁩ ⁨day⁩ ago

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

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    • OpenStars@piefed.social ⁨1⁩ ⁨day⁩ 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 ⁨23⁩ ⁨hours⁩ ago

    "Linear" describes transformations, not numbers.

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    • OpenStars@piefed.social ⁨22⁩ ⁨hours⁩ ago

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

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• Una@europe.pub ⁨1⁩ ⁨day⁩ ago

  I am THE NUMBER

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