Definition of Stokes' theorem in English:

Stokes' theorem

noun

Mathematics

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 round that path.
〔数〕斯托克斯定理
Example sentencesExamples
- 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.
- 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.

Origin

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

Definition of Stokes' theorem in US English:

Stokes' theorem

noun

Mathematics

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.
〔数〕斯托克斯定理
Example sentencesExamples
- 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.
- 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.

Origin

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

词汇	Stokes' theorem
释义	Definition of Stokes' theorem in English: Stokes' theorem noun Mathematics 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 round that path. 〔数〕斯托克斯定理 Example sentencesExamples 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. 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. Origin Late 19th century: named after Sir G. Stokes (see Stokes' law). Definition of Stokes' theorem in US English: Stokes' theorem noun Mathematics 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. 〔数〕斯托克斯定理 Example sentencesExamples 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. 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. Origin Late 19th century: named after Sir G. Stokes (see Stokes' law).
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