Word info

line integral

Noun

Meaning

line integral (plural line integrals)

(mathematics) An integral whose integrand's domain is a curve.

Source: en.wiktionary.org

Examples

A differential one-form can be integrated over an oriented path, and the resulting integral is just another way of writing a line integral. Source: Internet

In the Carnot cycle, the working fluid returns to the same state it had at the start of the cycle, hence the line integral of any state function, such as entropy, over the cycle is zero. Source: Internet

For a particular angle one must solve the line integral for the ray with origin at the intersection point of the line P 0 P 1 with the circular object plane. Source: Internet

Line integrals main A line integral sums together elements along a curve. Source: Internet

Mathematically this is expressed as the line integral of the electric field and the time rate of change of magnetic field along that path. Source: Internet

Stokes' theorem states that the flux of the curl of a vector field is the line integral of the vector field over this boundary. Source: Internet

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