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Statistical Distribution Functions   (Mathematica Guide)
There are a variety of ways to describe probability distributions such as probability density or mass, cumulative versions of density and mass, inverses of the cumulative ...
Zeta Functions & Polylogarithms   (Mathematica Guide)
Mathematica supports zeta and polylogarithm functions of a complex variable in full generality, performing efficient arbitrary-precision evaluation and implementing extensive ...
Some Mathematical Functions   (Mathematica Tutorial)
Mathematica includes a very large collection of mathematical functions. "Mathematical Functions" gives the complete list. Here are a few of the common ones. Some common ...
Elementary Transcendental Functions   (Mathematica Tutorial)
Elementary transcendental functions. Mathematica gives exact results for logarithms whenever it can. Here is log_21024. You can find the numerical values of mathematical ...
Flat and Orderless Functions   (Mathematica Tutorial)
Although Mathematica matches patterns in a purely structural fashion, its notion of structural equivalence is quite sophisticated. In particular, it takes account of ...
Modifying Built-in Functions   (Mathematica Tutorial)
Mathematica allows you to define transformation rules for any expression. You can define such rules not only for functions that you add to Mathematica, but also for intrinsic ...
Combinatorial Functions   (Mathematica Guide)
 
Approximate Functions and Interpolation   (Mathematica Tutorial)
In many kinds of numerical computations, it is convenient to introduce approximate functions. Approximate functions can be thought of as generalizations of ordinary ...
Functions Used in Optics   (Mathematica Guide)
 
Mathieu and Related Functions   (Mathematica Guide)
Important for elliptical shapes and periodic potentials, Mathematica achieves a new level of implementation for Mathieu-related functions, supporting arbitrary-precision ...
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