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词汇 line integral
释义

Definition of line integral in English:

line integral

noun
Mathematics
  • The integral, taken along a line, of any function that has a continuously varying value along that line.

    〔数〕线积分

    Example sentencesExamples
    • Perhaps the most famous example of this is Stokes' theorem in vector calculus, which allows us to convert line integrals into surface integrals and vice versa.
    • A formula for the line integral of the geodesic curvature along a closed curve is known as the Gauss Bonnet theorem.
    • Theoretically, substituting line integrals with surface integrals, we can proceed exactly as in the biallelic case but at an extremely high computational cost.
    • To aid in the characterization of materials that exhibit multiple optical properties, Jones developed an approach by which a sample matrix may be generated from a line integral of differential elements.

Definition of line integral in US English:

line integral

noun
Mathematics
  • The integral, taken along a line, of any function that has a continuously varying value along that line.

    〔数〕线积分

    Example sentencesExamples
    • A formula for the line integral of the geodesic curvature along a closed curve is known as the Gauss Bonnet theorem.
    • Theoretically, substituting line integrals with surface integrals, we can proceed exactly as in the biallelic case but at an extremely high computational cost.
    • Perhaps the most famous example of this is Stokes' theorem in vector calculus, which allows us to convert line integrals into surface integrals and vice versa.
    • To aid in the characterization of materials that exhibit multiple optical properties, Jones developed an approach by which a sample matrix may be generated from a line integral of differential elements.
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