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jeffdanielk
Lv 4
jeffdanielk asked in Science & MathematicsMathematics · 3 months ago

Is there a name for a 3 dimensional array of numbers? A generalization of a matrix. ?

I know a rank 3 tensor can be written as a 3D cube of numbers. But not every cube of numbers is a tensor.

Is there a way to multiply cubes of numbers together? An analog of matrix multiplication? 

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  • neb
    Lv 7
    3 months ago

    Of course. The tensor product of two rank three tensors is a rank 6 tensor.

     Tᵃᵇᵈ⊗Uᵉᶠᵍ = Vᵃᵇᵈᵉᶠᵍ

    Obviously, you can represent that as a matrix of numbers.

  • Puzzling
    Lv 7
    3 months ago

    They are called multidimensional arrays, and yes you can perform operations like multiplication on them.

    Source(s): http://www.iaeng.org/publication/WCE2010/WCE2010_p...
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