EulerSum (Numerical Calculus Package Symbol)

EulerSum[f, {i, i_min, i_max}] gives a numerical approximation to the sum \[Sum]i = i_min i_max f using Euler's transformation.EulerSum[f, {i, i_min, i_max, di}] uses a step ...

Stellate (Polyhedron Operations Package Symbol)

Stellate[expr] replaces each polygon in graphics expression expr by a pyramid, with the polygon as its base.Stellate[expr, ratio] uses a stellation ratio ratio.

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 ...

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, ...

InitializeXMLParser (XML Package Symbol)

InitializeXMLParser[root, " file"] creates an XMLParser object that has a list of entities corresponding to the contents of " file" and can be used on XML documents that have ...

Balance Brackets and Braces (Mathematica How To)

All bracketing characters in Mathematica must be balanced. That is, every type of opening bracket must be balanced by a corresponding closing bracket. If there is an ...

Clean Up Data Imported from a Website (Mathematica How To)

The connectivity and data-processing capabilities of Mathematica make it ideal for importing and analyzing data displayed on a website. In most cases, this is relatively ...

Create and Work with Cells (Mathematica How To)

Mathematica notebooks consist of sequences of cells, which can be nested. The hierarchy of cells serves as a structure for organizing information in a notebook as well as ...