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 ...

Installing MathLM (Mathematica Tutorial)

MathLM is available for Windows, Linux, and Mac OS X. For a detailed list of specific platforms, visit www.wolfram.com/mathematica/features/system-requirements.html. Each ...

CentralMomentGeneratingFunction (Built-in Mathematica Symbol)

CentralMomentGeneratingFunction[dist, t] gives the central moment generating function for the symbolic distribution dist as a function of the variable t. ...

LerchPhi (Built-in Mathematica Symbol)

LerchPhi[z, s, a] gives the Lerch transcendent \[CapitalPhi] (z, s, a).

Re (Built-in Mathematica Symbol)

Re[z] gives the real part of the complex number z.

Curve Fitting (Mathematica Tutorial)

There are many situations where one wants to find a formula that best fits a given set of data. One way to do this in Mathematica is to use Fit. Basic linear fitting. Here is ...

Descriptive Statistics (Mathematica Tutorial)

Descriptive statistics refers to properties of distributions, such as location, dispersion, and shape. The functions described here compute descriptive statistics of lists of ...

DSolve (Built-in Mathematica Symbol)

DSolve[eqn, y, x] solves a differential equation for the function y, with independent variable x. DSolve[{eqn_1, eqn_2, ...}, {y_1, y_2, ...}, x] solves a list of ...

FindFit (Built-in Mathematica Symbol)

FindFit[data, expr, pars, vars] finds numerical values of the parameters pars that make expr give a best fit to data as a function of vars. The data can have the form {{x_1, ...

Product (Built-in Mathematica Symbol)

Product[f, {i, i_max}] evaluates the product \[Product]i = 1 i_max f. Product[f, {i, i_min, i_max}] starts with i = i_min. Product[f, {i, i_min, i_max, di}] uses steps di. ...