QHypergeometricPFQ (Built-in Mathematica Symbol)

QHypergeometricPFQ[{a_1, ..., a_r}, {b_1, ..., b_s}, q, z] gives the basic hypergeometric series \[Null]_r \[Phi]_s (a; b; q; z).

IVPs with Piecewise Coefficients (Mathematica Tutorial)

The differential equations that arise in modern applications often have discontinuous coefficients. DSolve can handle a wide variety of such ODEs with piecewise coefficients. ...

PartitionsP (Built-in Mathematica Symbol)

PartitionsP[n] gives the number p (n) of unrestricted partitions of the integer n.

DataDistribution (Built-in Mathematica Symbol)

DataDistribution[ddist, ...] represents a probability distribution of type ddist, estimated from a set of data.

ShapiroWilkTest (Built-in Mathematica Symbol)

ShapiroWilkTest[data] tests whether data is normally distributed using the Shapiro\[Dash]Wilk test.ShapiroWilkTest[data, " property"] returns the value of " property".

Data Manipulation How to Topics (Mathematica Overview)

Use Curated Data Clean up Data Imported from a Website Clean up Data Imported from a ZIP File

Nonlinear Second-Order ODEs (Mathematica Tutorial)

The general form of a nonlinear second-order ODE is For simplicity, assume that the equation can be solved for the highest-order derivative y^ ′′(x) to give There are a few ...

The Design of the NDSolve Framework (Mathematica Tutorial)

Supporting a large number of numerical integration methods for differential equations is a lot of work. In order to cut down on maintenance and duplication of code, common ...

LeastSquares (Built-in Mathematica Symbol)

LeastSquares[m, b] finds an x that solves the linear least-squares problem for the matrix equation m.x == b.

Use Colors in Mathematica (Mathematica How To)

As well as being able to specify colors in several color spaces, Mathematica also contains a variety of predefined colors and aesthetically pleasing color spectrums. These ...