Pseudorandom Numbers (Mathematica Tutorial)

Mathematica has three functions for generating pseudorandom numbers that are distributed uniformly over a range of values. Pseudorandom number generation. Generating tables ...

Plot (Built-in Mathematica Symbol)

Plot[f, {x, x_min, x_max}] generates a plot of f as a function of x from x_min to x_max. Plot[{f_1, f_2, ...}, {x, x_min, x_max}] plots several functions f_i.

Test Problems (Mathematica Tutorial)

All the test problems presented in [MGH81] have been coded into Mathematica in the Optimization`UnconstrainedProblems` package. A data structure is used so that the problems ...

WeierstrassP (Built-in Mathematica Symbol)

WeierstrassP[u, {g_2, g_3}] gives the Weierstrass elliptic function \[WeierstrassP](u; g_2, g_3).

Method (Built-in Mathematica Symbol)

Method is an option for various algorithm-intensive functions that specifies what internal methods they should use.

DoubleStep Method for NDSolve (Mathematica Tutorial)

The method "DoubleStep" performs a single application of Richardson's extrapolation for any one-step integration method. Although it is not always optimal, it is a general ...

JacobiP (Built-in Mathematica Symbol)

JacobiP[n, a, b, x] gives the Jacobi polynomial P_n^(a, b)(x).

Mathematica Scripts (Mathematica Tutorial)

A Mathematica script is simply a file containing Mathematica commands that you would normally evaluate sequentially in a Mathematica session. Writing a script is useful if ...

Introduction to Unconstrained ... (Mathematica Tutorial)

Mathematica has a collection of commands that do unconstrained optimization (FindMinimum and FindMaximum) and solve nonlinear equations (FindRoot) and nonlinear fitting ...

q Functions (Mathematica Guide)

Introduced soon after ordinary hypergeometric functions, the q functions have long been studied as theoretical generalizations of hypergeometric and other functions. ...