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单词 Tensor product representation
释义

Tensor product representation

英语百科

Tensor product

This commutative diagram presents the universal property of tensor product.

In mathematics, the tensor product, denoted by , may be applied in different contexts to vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, and modules, among many other structures or objects. In each case the significance of the symbol is the same: the freest bilinear operation. In some contexts, this product is also referred to as outer product. The general concept of a "tensor product" is captured by monoidal categories; that is, the class of all things that have a tensor product is a monoidal category. The \boxtimes variant of is used in control theory.

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