“Stokes’ Theorem”的概念、定义、翻译、参考文献-科学参考

Stokes’ Theorem

Mathematics

${\int \int}_{Σ} curl F \cdot n d S = \int_{C} F \cdot d r$

where F is a differentiable vector field defined on a surface Σ‎ which has a boundary curve C, that is, that the flux integral of the curl of F over the surface is equal to the work integral of F around the boundary of the surface. The surface and bounding curve need to be compatibly oriented; this means that when travelling along the boundary in the direction of the tangent dr and standing in the direction of the unit normal n the surface Σ‎ is on your left.

单词	Stokes’ Theorem
释义	Stokes’ Theorem Mathematics ${\int \int}_{Σ} curl F \cdot n d S = \int_{C} F \cdot d r$ where F is a differentiable vector field defined on a surface Σ‎ which has a boundary curve C, that is, that the flux integral of the curl of F over the surface is equal to the work integral of F around the boundary of the surface. The surface and bounding curve need to be compatibly oriented; this means that when travelling along the boundary in the direction of the tangent dr and standing in the direction of the unit normal n the surface Σ‎ is on your left.
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