GroupOrbits[group, {p_1, ...}] returns the orbits of the points p_i under the action of the elements of group.GroupOrbits[group, {p_1, ...}, f] finds the orbits under the ...

Orthogonalize[{v_1, v_2, ...}] gives an orthonormal basis found by orthogonalizing the vectors v_i.Orthogonalize[{e_1, e_2, ...}, f] gives a basis for the e_i orthonormal ...

NDSolve returns solutions as InterpolatingFunction objects. Most of the time, simply using these as functions does what is needed, but occasionally it is useful to access the ...

The leading term of a polynomial can be chosen in many different ways. For multivariate polynomials, sorting by the total degree of the monomials is often useful. Different ...

TetGen is a quality tetrahedral mesh generator and a three-dimensional Delaunay triangulator. It is used by Mathematica for various operations, such as interpolation in ...

Mathematica provides representation of algebraic numbers as Root objects. A Root object contains the minimal polynomial of the algebraic number and the root number—an integer ...

The control mechanisms set up for NDSolve enable you to define your own numerical integration algorithms and use them as specifications for the Method option of NDSolve. ...

Sometimes it is useful to work directly with the request message that is sent to a web service. This message may be retrieved using the ToServiceRequest function. ...

RecurrenceTable[eqns, expr, {n, n_max}] generates a list of values of expr for successive n based on solving the recurrence equations eqns.RecurrenceTable[eqns, expr, nspec] ...

ToCCodeString[symbolicC] generates a string of C code from a symbolic C expression.