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SOLUTIONS
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Functions
- ArcLengthFactor
- Biharmonic
- Bipolar
- Bispherical
- Cartesian
- CoordinateRanges
- Coordinates
- CoordinatesFromCartesian
- CoordinatesToCartesian
- CoordinateSystem
- CrossProduct
- Curl
- Div
- DotProduct
- Grad
- JacobianDeterminant
- JacobianMatrix
- Laplacian
- ParameterRanges
- Parameters
- ScalarTripleProduct
- ScaleFactors
- SetCoordinates
- Related Guides
- Tutorials
Vector Analysis Package
Frequently, physical systems exhibit special symmetries or structures that make a particular coordinate system especially useful. In a mathematically elegant solution to problems related to these systems, often the main step is choosing the correct coordinates. A variety of tools for doing calculus in various three-dimensional coordinate systems are provided in this package.
ReferenceReference
SetCoordinates — set the default coordinate system
CoordinateSystem — default coordinate system
Coordinates — default variables in the default coordinate system
Coordinate Systems »
Bipolar ▪ Bispherical ▪ Cartesian ▪ ...
Parameters
CoordinateRanges — interval over which the coordinate variables range
Parameters — default parameters of the coordinate system
ParameterRanges — range of values of the parameters of the coordinate system
Coordinate Transformations
CoordinatesToCartesian — transform coordinates to Cartesian coordinates
CoordinatesFromCartesian — transform coordinates from Cartesian coordinates
Vector Calculus
Div ▪ Curl ▪ Grad ▪ Laplacian ▪ Biharmonic
ArcLengthFactor — derivative of the arc length along parameterized curve
JacobianMatrix — derivative matrix of the coordinate transformation
JacobianDeterminant — determinant of the Jacobian matrix
ScaleFactors — list the scale factors
