ButcherSigma[tree] gives the order of the symmetry group of isomorphisms of tree with itself.

$ContinuousExtension is a global environment setting, specifying whether to generate conditions for continuous extensions of Runge\[Dash]Kutta methods.

$RungeKuttaMethod is a global environment setting, specifying the type of method to be generated by ButcherPhi and related functions.

PolynomialExtendedGCD[poly_1, poly_2, x] gives the extended GCD of poly_1 and poly_2 treated as univariate polynomials in x.PolynomialExtendedGCD[poly_1, poly_2, x, Modulus ...

Mathematica provides state-of-the-art fully automated visualization of vector functions and data—suitable for representing flows, field lines and other vector fields of any ...

Mathematica has a flexible system for specifying arbitrary symbolic assumptions about variables. It uses a wide range of sophisticated algorithms to infer the consequences of ...

The functionality of Calculus`DSolveIntegrals` is now available in the built-in Mathematica kernel function DSolve.

CurvatureFlowFilter[image] applies a mean curvature flow filter to image.CurvatureFlowFilter[image, t] specifies the amount t of curvature flow to be ...

If you use the notebook front end for Mathematica, then you can enter some of the operations discussed here in special ways. Special and ordinary ways to enter mathematical ...

This equation is solved by simply integrating the right-hand side with respect to x. Here is a plot of the integral curves for different values of the arbitrary constant C[1].