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Forums
Mathematics
Calculus
Gradient Divergence of Nabla Operator Defined
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[QUOTE="LagrangeEuler, post: 5668911, member: 413477"] Nabla operator is defined by [tex]\nabla = \sum^3_{i=1} \frac{1}{h_i}\frac{\partial}{\partial q_i}\vec{e}_{q_i}[/tex] where ##q_i## are generalized coordinates (spherical polar, cylindrical...) and ##h_i## are Lame coefficients. Why then [tex]div(\vec{A})=\sum^3_{i=1} \frac{1}{h_i}\frac{\partial}{\partial q_i}\vec{e}_{q_i} \cdot \sum_j A_j\vec{e}_{q_j}=\sum_i\frac{1}{h_i}\frac{\partial}{\partial q_i}A_i[/tex] where I am making the mistake? here is different definition. [URL]https://www.jfoadi.me.uk/documents/lecture_mathphys2_05.pdf[/URL] [/QUOTE]
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Forums
Mathematics
Calculus
Gradient Divergence of Nabla Operator Defined
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