English Dictionary

tensor product

名詞

(mathematics) The most general bilinear operation in various contexts (as with vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, modules, and so on), denoted by ⊗.

日本語の意味

テンソル積：数学において、ベクトル、行列、テンソル、線形空間、環、位相ベクトル空間、加群などに適用される、最も一般的な双線形演算を示す概念。

During the seminar, she explained how the tensor product encodes interactions between vector spaces and why it is essential in multilinear algebra.

セミナーでは、彼女がどのように最も一般的な双線形演算（⊗で表される）がベクトル空間間の相互作用を表現し、多重線形代数でなぜ重要なのかを説明した。

意味（1）

(mathematics) The most general bilinear operation in various contexts (as with vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, modules, and so on), denoted by ⊗.

Linear Transformations on Tensor Products of Vector Spaces … Proposition 16. Let V and W be finite dimensional vector spaces over the field F with bases v_1,...,v_n and w_1,...,w_m respectively. Then V⊗_FW is a vector space over F of dimension nm with basis v_i⊗w_j, 1<i<n and 1<j<m.

tensor products （ plural ）