Stokes' integral theorem

Stokes' integral theorem

[¦stōks ′int·ə·grəl ‚thir·əm]
(mathematics)
The analog of Green's theorem in n-dimensional euclidean space; that is, a line integral of F1(x1, x2,…, xn ) dx1+ ⋯ + Fn (x1, x2,…, xn ) dxn over a closed curve equals an integral of an expression containing various partial derivatives of F1,…, Fn over a surface bounded by the curve.
References in periodicals archive ?
We can obtain two forms of Maxwell equation--differential or integral--related to an intensity of electric field vector, electric induction and charge, with the mutual conversion by the help of Stokes' integral theorem.