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Calling Sequence
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Gradient(f,c)
Del(f,c)
Nabla(f,c)
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Parameters
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f
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(optional) algebraic expression
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c
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(optional) specify the coordinate system
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Description
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The Gradient(f) calling sequence computes the gradient of the expression f in the current coordinate system. If no coordinate system has been explicitly specified, the command will assume a cartesian system with coordinates the variables which appear in the expression f.
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The Gradient(f,c) calling sequence computes the gradient of the expression f in the coordinate system specified by the parameter 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 Gradient(c) calling sequence returns the differential form of the gradient operator in the coordinate system specified by the parameter c.
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The Gradient() calling sequence returns the differential form of the gradient operator in the current coordinate system. If no coordinate system has been set (by a call to SetCoordinates), cartesian coordinates are assumed.
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In all cases, the result is a vector field.
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Nabla and Del are both synonyms for Gradient.
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Command
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Equivalent Command using Del
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Equivalent Command Using Nabla
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Curl
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Del &x
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Nabla &x
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Divergence
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Del .
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Nabla .
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Laplacian
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Del . Del
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Nabla . Nabla
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Examples
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The Gradient, Del, and Nabla commands compute the gradient.
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To display the differential form of the gradient operator, use the Gradient() or Gradient(c) calling sequence.
You can compute the divergence, curl, and gradient using the corresponding commands, or the Del or Nabla command and the . or &x operator.
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