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Stokes' theorem Syllabification: Stokes' the·o·rem

Definition of Stokes' theorem in English:

A theorem proposing that the surface integral of the curl of a function over any surface bounded by a closed path is equal to the line integral of a particular vector function around that path.
Example sentences
  • 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.
  • With these three identities in mind, the above Stokes' theorem in the three instances is transformed into the gradient, curl, and divergence theorems respectively as follows.


Late 19th century: named after Sir G. Stokes (see Stokes' law).

Definition of Stokes' theorem in:
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