Student[VectorCalculus][Torsion] - compute the torsion of a curve in R^3
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Calling Sequence
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Torsion(C, t)
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Parameters
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C
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free or position Vector or Vector-valued procedure; specify the components of the curve
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t
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(optional) name; specify the parameter of the curve
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Description
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The Torsion(C, t) calling sequence computes the torsion of the curve , which must have exactly three components, that is, the curve that this Vector represents must be in .
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The curve can be specified as a Vector or as a Vector-valued procedure. If is a procedure, the returned object is a procedure. Otherwise, the returned object is an expression.
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If the resulting set has a single entry, the single entry is the variable name. If it has more than one entry, an error is raised.
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If a coordinate system attribute is specified on , is interpreted in this coordinate system. Otherwise, the curve is interpreted as a curve in the current default coordinate system. If the curve and the coordinate system are incompatible, an error is returned.
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Examples
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See Also
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%1, %2, ... labels, Student[VectorCalculus], Student[VectorCalculus][Binormal], Student[VectorCalculus][Curvature], Student[VectorCalculus][GetCoordinates], Student[VectorCalculus][PrincipalNormal], Student[VectorCalculus][RadiusOfCurvature], Student[VectorCalculus][SetCoordinates], Student[VectorCalculus][TangentVector], Student[VectorCalculus][TNBFrame], Student[VectorCalculus][Vector]
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