Basic descriptive statistics operations. Given a list with n elements x_i, the mean Mean[list] is defined to be μ(x)OverscriptBox[x, _]∑x_i/n. The variance Variance[list] ...

The Mathematica function NIntegrate is a general numerical integrator. It can handle a wide range of one-dimensional and multidimensional integrals. Finding a numerical ...

a.b.c or Dot[a, b, c] gives products of vectors, matrices, and tensors.

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 ...

FrequencyModulation[f_c, {f_m, pd}, dur] creates a Sound object that is a frequency-modulated sinusoid, having carrier and modulating frequencies f_c and f_m, measured in ...

MiniMaxApproximation[expr, {x, {x_0, x_1}, m, n}] finds the rational polynomial function of x, with numerator order m and denominator order n, that gives a mini-max ...

Built on powerful and elegant principles, the core Mathematica language provides a uniquely deep and rich programming language that scales from rapid prototyping to large ...

Two decades of intense R&D at Wolfram Research have given Mathematica by far the world's broadest and deepest coverage of special functions—and greatly expanded the whole ...

Transparency is useful in plots when you need an unobstructed view of multiple components of one plot, or simply want to lighten a single plot component against a white ...

Mathematica provides an extensive, straightforward set of tools to control the appearance of your charts. Whether you are creating chart legends with the symbolic wrapper ...