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© Sharif University of Technology - CEDRA

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Divergence <strong>of</strong> a Vector Function:Consider a Vector Function as: A = A m(x i)e m(m=1,2,3 and i=1,2,3)Also:DivA A (x A (x111A2x2e1x32eA3 ) xA2xAxmm3eA3) ( A em,mmmi mA ( ei) ( Amem) ei em im Ai, i Am,mxixixixixmACurl <strong>of</strong> a Vector Function:Consider a Vector Function as: V = V k(x j)e k11A2eA2A e3A3) (k=1,2,3 and j=1,2,3)CurlV VexV111ex2V22exV333V (x32Vx23) e1V (x13Vx31) e2V (x21Vx12) e3 (xjej) ( Vkek) Vxkjej ekVkijkei ijkxjk,j© <strong>Sharif</strong> <strong>University</strong> <strong>of</strong> <strong>Technology</strong> - <strong>CEDRA</strong>VeiBy: Pr<strong>of</strong>essor Ali Meghdari

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