PolyGamma[z] gives the digamma function \[Psi](z). PolyGamma[n, z] gives the n\[Null]^th derivative of the digamma function \[Psi] (n) (z).

SymmetricPolynomial[k, {x_1, ..., x_n}] gives the k\[Null]^th elementary symmetric polynomial in the variables x_1, ..., x_n.

Using the objects described in "Introduction to Patterns", you can set up patterns for many kinds of expressions. In all cases, you must remember that the patterns must ...

RingModulation is an option to AmplitudeModulation which specifies whether to use ring modulation.

Index[p] gives the index of permutation p, the sum of all subscripts j such that p[[j]] is greater than p[[j + 1]].

As with integers, operations related to division are key to many computations with polynomials. Mathematica includes not only highly optimized univariate polynomial-division ...

file.m is a Mathematica package file.

KuwaharaFilter[image, r] computes for each pixel p in image the variance of the values in the four (r + 1)*(r + 1) squares that have p as a corner, and replaces p with the ...

Signature[list] gives the signature of the permutation needed to place the elements of list in canonical order.

EulerSum[f, {i, i_min, i_max}] gives a numerical approximation to the sum \[Sum]i = i_min i_max f using Euler's transformation.EulerSum[f, {i, i_min, i_max, di}] uses a step ...