ButcherPhi[tree, s] gives the weight of tree in an s-stage Runge\[Dash]Kutta method. ButcherPhi[tree] gives the weight of tree in stage-independent tensor notation.

ButcherPrincipalError[p, s] gives the principal error for a method of order p with s stages. ButcherPrincipalError[p] gives the principal error using stage-independent tensor ...

NewtonCotesError[n, f, a, b] gives the error in the elementary n-point Newton-Cotes quadrature formula for the function f on an interval from a to b.

LegendPosition is an option for Legend, which specifies the location of the lower-left corner of a legend box.

DataTicks is an option for PairwiseScatterPlot which specifies ticks to place on the plot for each column of data.

CrossProduct[v_1, v_2] gives the cross product of the two 3-vectors v_1, v_2 in the default coordinate system. CrossProduct[v_1, v_2, coordsys] gives the cross product of v_1 ...

Curl[f] gives the curl, \[Del]*f, of the vector field f in the default coordinate system. Curl[f, coordsys] gives the curl of f in the coordinate system coordsys.

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 ...

ScaleFactors[pt] gives a list of the scale factors at the point pt in the default coordinate system. ScaleFactors[pt, coordsys] gives a list of the scale factors in the ...

Mathematica provides not only automatic parallelization capabilities, but also a full built-in symbolic language for specifying concurrent computation.