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单词 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.

    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.

    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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更新时间:2024/12/23 23:36:24