When Mathematica transforms an expression such as x+x into 2x, it is treating the variable x in a purely symbolic or formal fashion. In such cases, x is a symbol which can ...

ButcherBetaBar[tree] gives the number of ways of labeling tree with ButcherOrder[tree] distinct labels such that every vertex is labeled.ButcherBetaBar[n, tree] gives the ...

ButcherBeta[tree] gives the number of ways of labeling tree with ButcherOrder[tree] - 1 distinct labels such that the root is not labeled, but every other vertex is labeled. ...

ButcherPlot[tree] gives a plot of tree.ButcherPlot[{tree_1, tree_2, ...}] gives an array of plots of tree_1, tree_2, ....

Faces[polytope] gives a list of the faces of polytope.

Mathematica supports import and export of 3D geometry from all standard formats—with its symbolic representation of 3D objects allowing immediate faithful interchange.

 

When exchanging expressions with external programs, the Mathematica kernel uses the convention of wrapping the expressions inside packets which identify what role the ...

Mathematica supports a sophisticated symbolic cascading stylesheet mechanism that allows modular control of all aspects of notebook formatting and operation.

Mathematica lets you create your own custom interfaces, using its uniquely straightforward symbolic interface-building technology. You can build simple interactive ...