Ordering[list] gives the positions in list at which each successive element of Sort[list] appears. Ordering[list, n] gives the positions in list at which the first n elements ...

Hypothesis tests give quantitative answers to common questions, such as how good the fit is between data and a particular distribution, whether these distributions have the ...

GenomeLookup["seq"] returns the positions of exact matches for the DNA sequence seq on the reference human genome.GenomeLookup["seq", n] returns at most n matches.

In three dimensions, just as in two dimensions, you can give various graphics directives to specify how the different elements in a graphics object should be rendered. All ...

ButcherBetaBar[tree] gives the number of ways of labeling tree with ButcherOrder[tree] distinct labels such that every vertex is labeled.ButcherBetaBar[n, tree] gives the ...

JacobiSymbol[n, m] gives the Jacobi symbol (n/m).

Based on original algorithms developed at Wolfram Research, Mathematica's core randomness generation is both highly efficient and of exceptional quality. Mathematica can ...

The execution of a Mathematica program involves the evaluation of a sequence of Mathematica expressions. In simple programs, the expressions to be evaluated may be separated ...

The following is the sequence of steps that Mathematica follows in evaluating an expression like h[e_1,e_2…]. Every time the expression changes, Mathematica effectively ...

Basic 3D plotting function. This makes a three-dimensional plot of the function sin(xy). Three-dimensional graphics can be rotated in place by dragging the mouse inside of ...