Operation |
Cartesian coordinates (x, y, z) |
Cylindrical coordinates (ρ, φ, z) |
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 ∇Aβ |
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Vector Laplacian ∇2A ≡ ∆A[2] |
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Directional derivative (A ⋅ ∇)B[3]
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Tensor divergence ∇ ⋅ Tγ
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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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