Recent content by sunnyskies
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Graduate Green's Theorem Integration Question
Here's the question: So using Green's Theorem, I got that the integral is equal to \int_{C}\frac{\partial}{\partial x}(-e^xsiny) - \frac{\partial}{\partial x}(e^xcosy)dxdy = 0. But surely the answer can't be 0? What am I doing wrong?- sunnyskies
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- Green's theorem Integration Theorem
- Replies: 1
- Forum: Calculus
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Graduate Question involving Levi-Civita symbol
Makes perfect sense, thank you!- sunnyskies
- Post #3
- Forum: Calculus
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Graduate Question involving Levi-Civita symbol
Can someone please explain to me why \epsilon_{ijk}\frac{\partial}{\partial x_i}\frac{\partial A_k}{\partial x_j} = 0 where A is a constant vector field.- sunnyskies
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- Levi-civita Symbol
- Replies: 2
- Forum: Calculus