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# Author Archives: growescience

## Integral of a vector field over a sphere

Integral of a vector field over a sphere

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## Volume elements in cartesian coordinates

Volume elements in cartesian coordinates

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## Levi-Civita tensor in 2-dimensional euclidean space

Levi-Civita tensor in 2-dimensional euclidean space

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## Vector identities for the cross product and curl

Vector identities for the cross product and curl

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## Properties of the levi-civita tensor

Properties of the levi-civita tensor

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## Gradients and directional derivatives of tensors

Gradients and directional derivatives of tensors

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## Rotation of tensors in the x-y plane

Rotation of tensors in the x-y plane

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## Numerics of tensor component manipulations

Numerics of tensor component manipulations

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