ReliefImage[array] generates a relief image of an array of height values.

The representation of algebraic numbers. When you enter a Root object, the polynomial that appears in it is automatically reduced to a minimal form. This extracts the pure ...

Converting to and from character codes. Mathematica assigns every character that can appear in a string a unique character code. This code is used internally as a way to ...

Converting between strings, boxes, and expressions. Here is a simple expression. This gives the InputForm of the expression as a string.

Eigenvalues and eigenvectors. The eigenvalues of a matrix m are the values λ_i for which one can find nonzero vectors v_i such that m.v_i λ_iv_i. The eigenvectors are the ...

When you ask for the square root s of a number a, you are effectively asking for the solution to the equation s^2a. This equation, however, in general has two different ...

In just one Mathematica command, you can easily specify a calculation that is far too complicated for any computer to do. For example, you could ask for ...

AmplitudeModulation[f_c, f_m, m_i, dur] creates a Sound object that is an amplitude-modulated sinusoid, having carrier and modulating frequencies f_c and f_m, measured in ...

NFourierCosCoefficient[expr, t, n] gives a numerical approximation to the n\[Null]^th coefficient in the Fourier cosine series expansion of expr, where expr is a periodic ...

ParetoPlot[list] creates a Pareto plot from the frequencies of the elements in list.ParetoPlot[{{cat_1, freq_1}, {cat_2, freq_2}, ...}] creates a Pareto plot from categories ...