Student[VectorCalculus][Curl] - compute the curl of a vector field in R^3
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Calling Sequence
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Curl(F)
Curl(c)
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Parameters
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F
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(optional) vector field or Vector-valued procedure; specify the components of the vector field
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c
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(optional) specify the coordinate system
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Description
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The Curl(F) calling sequence computes the curl of the vector field F in R^3. This is equivalent to and CrossProduct(Del, F).
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If F is a Vector-valued procedure, the default coordinate system is used, and it must be indexed by the coordinate names. Otherwise, F must be a vector field.
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If F is a procedure, the result is a procedure. Otherwise, the result is a vector field.
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The Curl(c) calling sequence returns the differential form of the curl operator in the coordinate system specified by c, which can be given as:
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* an indexed name, e.g.,
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* a name, e.g., spherical; default coordinate names will be used
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* a list of names, e.g., ; the current coordinate system will be used, with these as the coordinate names
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The Curl() calling sequence returns the differential form of the curl operator in the current coordinate system. For more information, see SetCoordinates.
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Examples
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To display the differential form of the curl operator:
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Nabla is a synonym for Del.
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