Sound (Built-in Mathematica Symbol)

Sound[primitives] represents a sound. Sound[primitives, t] specifies that the sound should have duration t.Sound[primitives, {t_min, t_max}] specifies that the sound should ...

Sphere (Built-in Mathematica Symbol)

Sphere[{x, y, z}, r] represents a sphere of radius r centered at (x, y, z). Sphere[{x, y, z}] represents a sphere of radius 1. Sphere[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}, ...

String (Built-in Mathematica Symbol)

String is the head of a character string " text".

Take (Built-in Mathematica Symbol)

Take[list, n] gives the first n elements of list. Take[list, -n] gives the last n elements of list. Take[list, {m, n}] gives elements m through n of list. Take[list, seq_1, ...

ThreeJSymbol (Built-in Mathematica Symbol)

ThreeJSymbol[{j_1, m_1}, {j_2, m_2}, {j_3, m_3}] gives the values of the Wigner 3-j symbol.

Numerical Nonlinear Global Optimization (Mathematica Tutorial)

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient-based methods use first ...

Nonlinear IVPs and BVPs (Mathematica Tutorial)

Many real-world applications require the solution of IVPs and BVPs for nonlinear ODEs. For example, consider the logistic equation, which occurs in population dynamics. This ...

References (Mathematica Tutorial)

[AB04] Abell, M. L. and J. P. Braselton. Differential Equations with Mathematica. (3rd ed.) Elsevier Academic Press, 2004. [A89] Abramov, S. A. "Rational Solutions of Linear ...

Discrete Fourier Transforms (Mathematica Tutorial)

A common operation in analyzing various kinds of data is to find the discrete Fourier transform (or spectrum) of a list of values. The idea is typically to pick out ...

Logging MathLM (Mathematica Tutorial)

You can enable logging in two ways. The log file records messages as they occur, building up a detailed record of license activity over a period of time. Logging supports ...