PHY2061 R. D. Field Department of Physics vector_1.doc Univesity of Florida Points enclose curveP2P1Curve CSummary: GRAD Relationship between the points P1and P2and the curve C enclosed by the points: ∫⋅∇=−CrdfPfPf!!)()(12zzyyxx∂∂+∂∂+∂∂=ˆˆˆ!zfzyfyxfxf∂∂+∂∂+∂∂=∇ˆˆˆ!Summary: STOKES Relationship between the closed curve C and the surface S enclosed by the curve: ∫∫⋅×∇=⋅SCAdFrdF!!!!!)(zyxFFFzyxzyxF∂∂∂∂∂∂
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