Shorthand notations are a part of Mathematica 's rich syntax system that allows multiple ways to feed arguments to functions. In addition to creating compact code, using ...

Version 6.0 continued Mathematica's commitment to delivering the latest and most efficient algorithms for linear algebra, generalized to arbitrary precision and with full ...

ComposeList[{f_1, f_2, ...}, x] generates a list of the form {x, f_1[x], f_2[f_1[x]], ...}.

Mathematica includes functions for performing a variety of specific algebraic transformations. Some are algorithmically straightforward; others include highly sophisticated ...

Looping is a core concept in programming. Mathematica provides powerful primitives for specifying and controlling looping, not only in traditional procedural programming, but ...

NMinimize, NMaximize, Minimize, and Maximize employ global optimization algorithms, and are thus suitable when a global optimum is needed. Minimize and Maximize can find ...

CharacteristicFunction[dist, t] gives the characteristic function for the symbolic distribution dist as a function of the variable t.CharacteristicFunction[dist, {t_1, t_2, ...

Finding elements that match a pattern. This gives the elements of the list which match the pattern x^_. Here is the total number of elements which match the pattern.

ComplexityFunction is an option for Simplify and other functions which gives a function to rank the complexity of different forms of an expression.

You may find it useful to use one or more rules with an expression several times. Mathematica provides functions that let you iterate when using rules with expressions. In ...