ArcLengthFactor (Vector Analysis Package Symbol)

ArcLengthFactor[{f_1, f_2, f_3}, t] gives the derivative of the arc length of the curve described by the parametrized curve coordinates {f_1, f_2, f_3} with respect to the ...

JacobianDeterminant (Vector Analysis Package Symbol)

JacobianDeterminant[pt] gives the determinant of the Jacobian matrix of the transformation from the default coordinate system to the Cartesian coordinate system at the point ...

JacobianMatrix (Vector Analysis Package Symbol)

JacobianMatrix[pt] gives the Jacobian matrix of the transformation from the default coordinate system to the Cartesian coordinate system at the point pt. JacobianMatrix[pt, ...

Biharmonic (Vector Analysis Package Symbol)

Biharmonic[f] gives the biharmonic, \[Del]^4 f, of the scalar function f in the default coordinate system. Biharmonic[f, coordsys] gives the biharmonic of f in the coordinate ...

Compile (Built-in Mathematica Symbol)

Compile[{x_1, x_2, ...}, expr] creates a compiled function that evaluates expr assuming numerical values of the x_i. Compile[{{x_1, t_1}, ...}, expr] assumes that x_i is of a ...

Variational Methods (Variational Methods Package Tutorial)

The basic problem of the calculus of variations is to determine the function u(x) that extremizes a functional F=∫_SubscriptBox[x^StyleBox[min, FontSlant -> Italic], ...

Vector Analysis Package (Vector Analysis Package Tutorial)

A three-dimensional coordinate system assigns three numbers to each point in space. In defining a coordinate system, you have to make a choice about what to measure and how ...

Rigid Body Solvers (Mathematica Tutorial)

The equations of motion for a free rigid body whose center of mass is at the origin are given by the following Euler equations (see [MR99]). Two quadratic first integrals of ...

CUDAFunctionLoad (CUDALink Symbol)

CUDAFunctionLoad[src, fun, argtypes, blockdim] loads CUDAFunction from scr and makes fun available in Mathematica.CUDAFunctionLoad[{srcfile}, fun, argtypes, blockdim] loads ...

OpenCLFunctionLoad (OpenCLLink Symbol)

OpenCLFunctionLoad[prog, fun, argtypes, blockdims] loads fun from source code prog, returning an OpenCLFunction object.OpenCLFunctionLoad[{progfile}, fun, argtypes, ...