| 31. | If a diagram has no output strands, its function maps tensor products to a scalar.
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| 32. | Considering only the real part of the tensor product of wavelets, real coefficients are obtained.
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| 33. | Thus the components of the tensor product of multilinear forms can be computed by the Kronecker product.
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| 34. | This is possible precisely because the tensor product is bilinear, and the Lie bracket is bilinear!
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| 35. | Then the Hilbert space is simply the tensor product of the Hilbert spaces of the individual species.
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| 36. | Product numerical radius is invariant with respect to local unitaries, which have the tensor product structure.
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| 37. | Multilinear maps can be described via tensor products of elements of " V " ".
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| 38. | Tensor products can be defined in great generality for example, involving arbitrary modules over a ring.
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| 39. | When described as multilinear maps, the tensor product simply multiplies the two tensors, i . e.
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| 40. | As is the case for all Hopf algebras, the tensor product of two modules is another module.
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