Unformatted text preview: coincide as point sets, but their normals are oppositely oriented: ˆ N 2 = ˆ N 1 at corresponding points on the two surfaces. Hence ZZ 1 F • ˆ N 1 dS = ZZ 2 F • ˆ N 2 dS , for any smooth vector field, and ZZ F • ˆ N dS = ZZ 1 F • ˆ N 1 dS + ZZ 2 F • ˆ N 2 dS = ....
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 Spring '12
 OnurFen
 Surface, Torus, smooth vector field

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