The Curl of a Vector Field
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The curl of a scalar function
Equations are omitted for technical reasons - download the original pdf
If f is a scalar function, then [Equation goes here - download the original pdf to see it.] When a vector function is the gradient of a scalar function, then its curl is the zero vector. The rotation of such fields is zero, and they are consequently called irrotational or conservative. [Example goes here - download the original pdf to see it.]
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Contents of
The Curl of a Vector Field
1 The curl of a vector field
2 The relationship of the rotation of a rigid body to curl
3 The curl of a scalar function
4 Invariance of curl
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