The general form of an ODE with order n is As in the case of second-order ODEs, such an ODE can be classified as linear or nonlinear. The general form of a linear ODE of ...

Building on its broad strengths in mathematics in general, and in special functions in particular, Mathematica provides a unique level of support for multiplicative number ...

EvaluationMonitor is an option for various numerical computation and plotting functions that gives an expression to evaluate whenever functions derived from the input are ...

GainPhaseMargins[sys] gives the gain and phase margins of the linear time-invariant system sys.

ButtonBoxOptions -> {opt_1 -> val_1, opt_2 -> val_2, ...} is an option for cells that specifies settings for buttons within the cell.

Important for elliptical shapes and periodic potentials, Mathematica achieves a new level of implementation for Mathieu-related functions, supporting arbitrary-precision ...

Mathematica includes comprehensive support for XML, the meta-markup language developed by the World Wide Web Consortium (W3C) for describing structured documents and data. ...

Replace[expr, rules] applies a rule or list of rules in an attempt to transform the entire expression expr. Replace[expr, rules, levelspec] applies rules to parts of expr ...

FillingTransform[image] gives a version of image with all extended minima filled.FillingTransform[image, marker] fills extended minima in regions where at least one ...

WaveletScale is an option for ContinuousWaveletTransform and related constructs used to specify the smallest resolvable scale.