expr //. rules repeatedly performs replacements until expr no longer changes.

Power series are represented in Mathematica as SeriesData objects. The power series is printed out as a sum of terms, ending with O[x] raised to a power. Internally, however, ...

ContinuousWaveletData[{{oct_1, voc_1} -> coef_1, ...}, wave] yields a continuous wavelet data object with wavelet coefficients coef_i corresponding to octave and voice ...

The primes have been a focal point for investigations of numbers for more than two millennia. Mathematica implements state-of-the-art algorithms for handling both primes and ...

FourierCosTransform[expr, t, \[Omega]] gives the symbolic Fourier cosine transform of expr. FourierCosTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives ...

An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

Xnor[e_1, e_2, ...] is the logical XNOR (not XOR) function. It gives True if an even number of the e_i are True, and the rest are False. It gives False if an odd number of ...

The symbolic functions in Calculus`FourierTransform` have been added to the built-in Mathematica kernel. The numerical functionality in Calculus`FourierTransform` is now ...

Probability and statistics are used to model uncertainty from a variety of sources, such as incomplete or simplified models. Yet you can build useful models for aggregate or ...

WeibullDistribution[\[Alpha], \[Beta]] represents a Weibull distribution with shape parameter \[Alpha] and scale parameter \[Beta].WeibullDistribution[\[Alpha], \[Beta], ...