Compile[{x_1, x_2, ...}, expr] creates a compiled function that evaluates expr assuming numerical values of the x_i. Compile[{{x_1, t_1}, ...}, expr] assumes that x_i is of a ...

This package implements Hamilton's quaternion algebra. Quaternions have the form a+bi+cj+dk where a, b, c, and d are real numbers. The symbols i, j, and k are multiplied ...

When fitting models to data, it is often useful to analyze how well the model fits the data and how well the fitting meets the assumptions of the model. For a number of ...

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

Expectation[expr, x \[Distributed] dist] gives the expectation of expr under the assumption that x follows the probability distribution dist. Expectation[expr, x ...

This loads packages containing some test problems and utility functions. One of the first and simplest methods for solving initial value problems was proposed by Euler: ...

Combinatorica extends Mathematica by over 450 functions in combinatorics and graph theory. It includes functions for constructing graphs and other combinatorial objects, ...

Mathematica provides an extensive suite of built-in functionality to carry out analysis, design, and simulation of continuous- and discrete-time control systems using both ...

Getting Started Videos » Find Your Learning Path » Open Virtual Book » CORE LANGUAGE ◼ Language Overview ◼ Lists ◼ Expressions ◼ Variables & Functions ◼ Rules & Patterns ◼ ...

SatisfiableQ[bf] gives True if a combination of values of variables exists that makes the Boolean function bf yield True.SatisfiableQ[expr, {a_1, a_2, ...}] gives True if a ...