PowersRepresentations (Built-in Mathematica Symbol)

PowersRepresentations[n, k, p] gives the distinct representations of the integer n as a sum of k non-negative p\[Null]^th integer powers.

ReplaceAll (Built-in Mathematica Symbol)

expr /. rules applies a rule or list of rules in an attempt to transform each subpart of an expression expr.

SeriesCoefficient (Built-in Mathematica Symbol)

SeriesCoefficient[series, n] finds the coefficient of the n\[Null]\[Null]^th-order term in a power series in the form generated by Series. SeriesCoefficient[f, {x, x_0, n}] ...

MeyerWavelet (Built-in Mathematica Symbol)

MeyerWavelet[] represents the Meyer wavelet of order 3.MeyerWavelet[n] represents the Meyer wavelet of order n evaluated on the equally spaced interval {-10, ...

Convolutions and Correlations (Mathematica Tutorial)

Convolution and correlation are central to many kinds of operations on lists of data. They are used in such areas as signal and image processing, statistical data analysis, ...

Exclusions (Built-in Mathematica Symbol)

Exclusions is an option that specifies where to exclude in regions used by functions like Plot, Plot3D, and NIntegrate.

Finite Fields Package (Finite Fields Package Tutorial)

A field is an algebraic structure obeying the rules of ordinary arithmetic. In particular, a field has binary operations of addition and multiplication, both of which are ...

Google Web Services Example (WebServices Tutorial)

Google.com is a well-known web search engine. Google has made a web service available that allows developers to interface with their search engine within their own ...

Nonlinear Systems of ODEs (Mathematica Tutorial)

Following are two examples of nonlinear systems of ODEs that can be solved symbolically using DSolve. The first three equations in this system of four nonlinear ODEs can be ...

LQGRegulator (Built-in Mathematica Symbol)

LQGRegulator[{ss, sensors, finputs}, {w, v, h}, {q, r, p}] constructs the optimal feedback regulator for the StateSpaceModel ss using noisy measurements sensors and feedback ...