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单词 inner product
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inner product
inner product n. [translating German inneres Produkt (H. Grassmann Die lineale Ausdehnungslehre (1844) p. xi): so named because an inner product of two vectors is zero unless one has a component ‘within’ the other, i.e. in its direction] Mathematics the sum of the products of corresponding components of two real vectors (a1, a2,…, an) and (b1, b2,…, bn), i.e. the number a1b1 + a2b2 +…+ anbn; in a complex vector space, the number a11 + A22 +…+ ann, where i is the complex conjugate number of bi; (see also quot. 19661).extracted from inneradj.n.2
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