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Tensor product : ウィキペディア英語版 | 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 variant of is used in control theory. ==Tensor product of vector spaces== The tensor product of two vector spaces and over a field is another vector space over . It is denoted , or when the underlying field is understood.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Tensor product」の詳細全文を読む
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