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.
- 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.
- 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.
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