Plotting the Solution (Mathematica Tutorial)

A plot of the solution given by DSolve can give useful information about the nature of the solution, for instance, whether it is oscillatory in nature. It can also serve as a ...

Variational Methods (Variational Methods Package Tutorial)

The basic problem of the calculus of variations is to determine the function u(x) that extremizes a functional F=∫_SubscriptBox[x^StyleBox[min, FontSlant -> Italic], ...

CompleteGraph (Built-in Mathematica Symbol)

CompleteGraph[n] gives the complete graph with n vertices K_n.CompleteGraph[{n_1, n_2, ..., n_k}] gives the complete k-partite graph with n_1 + n_2 + \[CenterEllipsis] + n_k ...

KaryTree (Built-in Mathematica Symbol)

KaryTree[n] gives a binary tree with n vertices.KaryTree[n, k] gives a k-ary tree with n vertices.

LogLogPlot (Built-in Mathematica Symbol)

LogLogPlot[f, {x, x_min, x_max}] generates a log-log plot of f as function of x from x_min to x_max. LogLogPlot[{f_1, f_2, ...}, {x, x_min, x_max}] generates log-log plots of ...

WheelGraph (Built-in Mathematica Symbol)

WheelGraph[n] gives the wheel graph with n vertices W_n.

ParallelTry (Built-in Mathematica Symbol)

ParallelTry[f, {arg_1, arg_2, ...}] evaluates f[arg_i] in parallel, returning the first result received.ParallelTry[f, {arg_1, arg_2, ...}, k] returns a list of the first k ...

GreaterEqual (Built-in Mathematica Symbol)

x >= y or x >= y yields True if x is determined to be greater than or equal to y. x_1 >= x_2 >= x_3 yields True if the x_i form a non-increasing sequence.

LessEqual (Built-in Mathematica Symbol)

x <= y or x <= y yields True if x is determined to be less than or equal to y. x_1 <= x_2 <= x_3 yields True if the x TraditionalForm\`i form a nondecreasing sequence.

Defining Your Own Wavelet (Mathematica Tutorial)

You can define wavelets to plug into the wavelet analysis framework by using the correct template. A wavelet wave is of the form wfam[args], where wfam is the symbol that ...