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词汇 scalar product
释义

Definition of scalar product in English:

scalar product

noun
Mathematics
  • A scalar function of two vectors, equal to the product of their magnitudes and the cosine of the angle between them.

    〔数〕纯量积,数积,点积。亦称DOT PRODUCT . 比较VECTOR PRODUCT

    Written as a. b or ab

    Compare with vector product
    Also called dot product
    Example sentencesExamples
    • The first scalar product could have told us that one of the digits was 6 too small but then no sensible answer would have been obtainable from the second scalar product.
    • To judge this number, note that the scalar product between uncorrelated motions follows a Gaussian distribution of 0.015 half-width.
    • The scalar product also appears in Grassmann's 1844 work.

Definition of scalar product in US English:

scalar product

noun
Mathematics
  • another term for inner product
    Example sentencesExamples
    • The first scalar product could have told us that one of the digits was 6 too small but then no sensible answer would have been obtainable from the second scalar product.
    • To judge this number, note that the scalar product between uncorrelated motions follows a Gaussian distribution of 0.015 half-width.
    • The scalar product also appears in Grassmann's 1844 work.
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