Within a standard interactive session, you can create "subsessions" or dialogs using the Mathematica command Dialog. Dialogs are often useful if you want to interact with ...

The Lotka–Volterra system arises in mathematical biology and models the growth of animal species. Consider two species where Y_1(T) denotes the number of predators and Y_2(T) ...

Searching for local minima and maxima. This finds the value of x which minimizes Γ(x), starting at x2. The last element of the list gives the value at which the minimum is ...

Mathematica saves information about every plot you produce, so that you can later redraw it. When you redraw plots, you can change some of the options you use. Functions for ...

General Mathematica patterns provide a powerful way to do string manipulation. But particularly if you are familiar with specialized string manipulation languages, you may ...

OutputResponse[sys, u, t] gives the output response of a TransferFunctionModel or StateSpaceModel object sys to the input u as a function of time t.OutputResponse[sys, u, {t, ...

SimilarityRules is an option for functions such as SequenceAlignment that gives a list of rules for similarity scores to assume between pairs of elements.

The functions defined in Music` allow you to make conversions between cents and hertz, and play scales in one of the common tuning systems, or in a user-specified tuning ...

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 ...

When Mathematica plots a graph for you, it has to make many choices. It has to work out what the scales should be, where the function should be sampled, how the axes should ...