New functions CountRoots, IsolatingInterval, and RootIntervals have been added to the built-in Mathematica kernel. IsolatingInterval includes the functionality of ...

BattleLemarieWavelet[] represents the Battle-Lemarié wavelet of order 3.BattleLemarieWavelet[n] represents the Battle-Lemarié wavelet of order n evaluated on equally spaced ...

PowerModList[a, s/r, m] gives a list of all x modulo m for which x^r \[Congruent] a^s mod m.

AbsolutePointSize[d] is a graphics directive which specifies that points which follow are to be shown if possible as circular regions with absolute diameter d.

BinLists[{x_1, x_2, ...}] gives lists of the elements x_i whose values lie in successive integer bins.BinLists[{x_1, x_2, ...}, dx] gives lists of the elements x_i whose ...

Mathematica provides direct access to a large volume of mathematical data, specially organized and created for Mathematica. The data is available in a wide range of forms ...

Invisible[expr] displays as space that is the same size as the formatted version of expr.

Multinomial[n_1, n_2, ...] gives the multinomial coefficient (n_1 + n_2 + ...)!/(n_1! n_2! ...).

AiryAiZero[k] represents the k\[Null]^th zero of the Airy function Ai(x).AiryAiZero[k, x_0] represents the k\[Null]^th zero less than x_0.

Plot3D[f, {x, x_min, x_max}, {y, y_min, y_max}] generates a three-dimensional plot of f as a function of x and y. Plot3D[{f_1, f_2, ...}, {x, x_min, x_max}, {y, y_min, ...