Exact Equations (Mathematica Tutorial)

Here is an example of an exact ODE. This verifies the solution. Here is a contour plot of the solution.

DiscreteRatio (Built-in Mathematica Symbol)

DiscreteRatio[f, i] gives the discrete ratio f(i + 1)/f(i).DiscreteRatio[f, {i, n}] gives the multiple discrete ratio.DiscreteRatio[f, {i, n, h}] gives the multiple discrete ...

Quaternions Package (Quaternions Package Tutorial)

This package implements Hamilton's quaternion algebra. Quaternions have the form a+bi+cj+dk where a, b, c, and d are real numbers. The symbols i, j, and k are multiplied ...

$MaxRootDegree (Built-in Mathematica Symbol)

$MaxRootDegree specifies the maximum degree of polynomial to allow in Root objects.

FourierParameters (Built-in Mathematica Symbol)

FourierParameters is an option to Fourier and related functions that specifies the conventions to use in computing Fourier transforms.

WaitNext (Built-in Mathematica Symbol)

WaitNext[{eid_1, eid_2, ...}] waits until the first evaluation represented by any of the eid_i finishes, then returns its result, the corresponding eid_i, and the list of ...

Plot Diagnostics for Fitted Models (Mathematica How To)

Diagnostics are an important part of analyzing models of data. Plots of residuals and leverage or influence measures provide valuable insight into whether assumptions of the ...

PrimitiveRoot (Built-in Mathematica Symbol)

PrimitiveRoot[n] gives the smallest primitive root of n.

ButcherPlotNodeSize (Numerical Differential Equation Analysis Package Symbol)

ButcherPlotNodeSize is an option to ButcherPlot that specifies a scaling factor for the nodes of the trees in the plot.

ButcherPlotRootSize (Numerical Differential Equation Analysis Package Symbol)

ButcherPlotRootSize is an option to ButcherPlot that specifies a scaling factor for the circle highlighting the root.