NVariationalBound (Variational Methods Package Symbol)

NVariationalBound[f, u[x ], {x, x_min, x_max}, u_t, {a, a_0}, {b, b_0}, ...] numerically searches for values of the parameters a, b, ... of a trial function u_t, starting ...

VariationalBound (Variational Methods Package Symbol)

VariationalBound[f, u[x ], {x, x_min, x_max}, u_t, {a}, {b}, ...] finds values of the parameters a, b, ... of a trial function u_t that extremize the functional ...

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 Guide)

Frequently, physical systems exhibit special symmetries or structures that make a particular coordinate system especially useful. In a mathematically elegant solution to ...

Div (Vector Analysis Package Symbol)

Div[f] gives the divergence, \[Del]\[CenterDot]f, of the vector field f in the default coordinate system. Div[f, coordsys] gives the divergence of f in the coordinate system ...

DotProduct (Vector Analysis Package Symbol)

DotProduct[v_1, v_2] gives the dot product of the two 3-vectors v_1, v_2 in the default coordinate system. DotProduct[v_1, v_2, coordsys] gives the dot product of v_1 and v_2 ...

Laplacian (Vector Analysis Package Symbol)

Laplacian[f] gives the Laplacian, \[Del]^2 f, of the scalar function or vector field f in the default coordinate system. Laplacian[f, coordsys] gives the Laplacian of f in ...

GradientFieldPlot3D (Obsolete Vector Field Plots Package Symbol)

As of Version 7.0, GradientFieldPlot3D has been superseded by VectorPlot3D.

ListVectorFieldPlot3D (Obsolete Vector Field Plots Package Symbol)

As of Version 7.0, ListVectorFieldPlot3D has been superseded by ListVectorPlot3D.

MaxArrowLength (Obsolete Vector Field Plots Package Symbol)

As of Version 7.0, MaxArrowLength has been superseded by VectorScale.