Mod[m, n] gives the remainder on division of m by n. Mod[m, n, d] uses an offset d.

ImageTransformation[image, function] gives an image in which each pixel at position {x, y} corresponds to the position function[{x, y}] in image.ImageTransformation[image, ...

NFourierTrigSeries[expr, t, k] gives a numerical approximation to the order n Fourier trigonometric series expansion of expr, where expr is a periodic function of t with ...

The solutions to many second-order ODEs can be expressed in terms of special functions. Solutions to certain higher-order ODEs can also be expressed using AiryAi, BesselJ, ...

Framed[expr] displays a framed version of expr.

MarcumQ[m, a, b] gives Marcum's Q function Q_m (a, b).MarcumQ[m, a, b_0, b_1] gives Marcum's Q function Q_m (a, b_0) - Q_m (a, b_1).

Highlight[g, p] displays g with elements in p highlighted. The second argument p has the form {s_1, s_2, ...}, where the s_i are disjoint subsets of vertices and edges of g.

HarmonicNumber[n] gives the n\[Null]^th harmonic number H_n. HarmonicNumber[n, r] gives the harmonic number H_n^(r) of order r.

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

Sending email from Mathematica. The examples below require that the default mail account settings have been configured in the Internet Connectivity > Mail Settings tab of the ...