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.

    • ‘A formula for the line integral of the geodesic curvature along a closed curve is known as the Gauss Bonnet theorem.’
    • ‘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.’
    • ‘Theoretically, substituting line integrals with surface integrals, we can proceed exactly as in the biallelic case but at an extremely high computational cost.’