When numerically solving Hamiltonian dynamical systems it is advantageous if the numerical method yields a symplectic map. If the Hamiltonian can be written in separable ...

ListStreamDensityPlot[array] generates a stream density plot from a 2D array of vector and scalar field values {{vx_ij, vy_ij}, s_ij}. ListStreamDensityPlot[{{{x_1, y_1}, ...

Tube[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] represents a 3D tube around the line joining a sequence of points.Tube[{pt_1, pt_2, ...}, r] represents a tube of radius ...

A three-dimensional coordinate system assigns three numbers to each point in space. In defining a coordinate system, you have to make a choice about what to measure and how ...

Mathematica 6.0 fundamentally redefined Mathematica and introduced a major new paradigm for computation. Building on Mathematica's time-tested core symbolic architecture, ...

NicholsPlot[g] gives the Nichols plot of a rational function g in one complex variable.NicholsPlot[sys] gives the Nichols plot of a TransferFunctionModel or StateSpaceModel ...

A possible way of working with permutations is by relating them to the reorderings of the elements of a list. This is the standard point of view in the combinatorial approach ...

ProbabilityScalePlot[{x_1, x_2, ...}] generates a normal probability plot of the samples x_i. ProbabilityScalePlot[{x_1, x_2, ...}, " dist"] generates a probability plot ...

QuantilePlot[list] generates a plot of quantiles of list against the quantiles of a normal distribution.QuantilePlot[dist] generates a plot of quantiles of the distribution ...

DensityPlot[f, {x, x_min, x_max}, {y, y_min, y_max}] makes a density plot of f as a function of x and y.