Operation
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Cartesian coordinates (x, y, z)
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Cylindrical coordinates (ρ, φ, z)
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Spherical coordinates (r, θ, φ), where θ is the polar angle and φ is the azimuthal angleα
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Vector field A
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Gradient ∇f[1]
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Divergence ∇ ⋅ A[1]
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Curl ∇ × A[1]
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Laplace operator ∇2f ≡ ∆f[1]
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Vector gradient ∇A
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Vector Laplacian ∇2A ≡ ∆A[2]
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Directional derivativeα[3] (A ⋅ ∇)B
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Tensor divergence ∇ ⋅ T
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Differential displacement dℓ[1]
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Differential normal area dS
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Differential volume dV[1]
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