QRDecomposition[m] yields the QR decomposition for a numerical matrix m. The result is a list {q, r}, where q is an orthogonal matrix and r is an upper-triangular matrix.

Structural operations on polynomials. Here is a polynomial in one variable. Expand expands out products and powers, writing the polynomial as a simple sum of terms.

LogNormalDistribution[\[Mu], \[Sigma]] represents a lognormal distribution derived from a normal distribution with mean \[Mu] and standard deviation \[Sigma].

As of Version 7, the Vector Field Plotting Package has been integrated into the Mathematica kernel.

BooleanConvert[expr] converts the Boolean expression expr to disjunctive normal form.BooleanConvert[expr, form] converts the Boolean expression expr to the specified ...

On most computer systems, you can execute external programs or commands from within Mathematica. Often you will want to take expressions you have generated in Mathematica, ...

The equations of motion for a free rigid body whose center of mass is at the origin are given by the following Euler equations (see [MR99]). Two quadratic first integrals of ...

BeckmannDistribution[\[Mu]_1, \[Mu]_2, \[Sigma]_1, \[Sigma]_2] represents the Beckmann distribution with means \[Mu]_1 and \[Mu]_2 and standard deviations \[Sigma]_1 and ...

MultivariatePoissonDistribution[\[Mu]_0, {\[Mu]_1, \[Mu]_2, \ ...}] represents a multivariate Poisson distribution with mean vector {\[Mu]_0 + \[Mu]_1, \[Mu]_0 + \[Mu]_2, ...

QuantilePlot[list] generates a plot of quantiles of list against the quantiles of a normal distribution.QuantilePlot[dist] generates a plot of quantiles of the distribution ...