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813446	查看　813446　在百度字典中的解释	百度英翻中〔查看〕
813446	查看　813446　在Google字典中的解释	Google英翻中〔查看〕
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Solve Stokes Theorem for Cube w Vertices ±1, ±1, ±1 - Physics Forums
The problem involves using Stokes' Theorem to evaluate the surface integral of the curl of a vector field F over a specified surface S, which consists of the top and four sides of a cube with vertices at (±1,±1,±1) The discussion centers around the application of Stokes' Theorem and the interpretation of the surfaces involved Exploratory, Assumption checking, Conceptual clarification
Surface Integrals: Flux of F across S - Physics Forums
The discussion focuses on evaluating the surface integral ∫∫S F · dS for the vector field F (x, y, z) = xy i + yz j + zx k over the surface S defined by the paraboloid z = 3 - x² - y², constrained within the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 The user attempted to convert the integral into polar coordinates but faced confusion regarding the correct application of the surface integral

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