Numerical Root Finding (Mathematica Tutorial)

NSolve gives you a general way to find numerical approximations to the solutions of polynomial equations. Finding numerical solutions to more general equations, however, can ...

Mod (Built-in Mathematica Symbol)

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

ImageTransformation (Built-in Mathematica Symbol)

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 (Fourier Series Package Symbol)

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 ...

Further Examples of Exactly Solvable ... (Mathematica Tutorial)

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 (Built-in Mathematica Symbol)

Framed[expr] displays a framed version of expr.

MarcumQ (Built-in Mathematica Symbol)

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).

HarmonicNumber (Built-in Mathematica Symbol)

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

Exact Equations (Mathematica Tutorial)

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

Sending Email (Mathematica Tutorial)

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 ...