DiscretePlot3D[expr, {i, i_min, i_max}, {j, j_min, j_max}] generates a plot of the values of expr when i runs from i_min to i_max and j runs from j_min to ...

FixedPoint[f, expr] starts with expr, then applies f repeatedly until the result no longer changes.

Matrix inversion. Here is a simple 2×2 matrix. This gives the inverse of m. In producing this formula, Mathematica implicitly assumes that the determinant ad-bc is nonzero.

ZipfDistribution[\[Rho]] represents a zeta distribution with parameter \[Rho].ZipfDistribution[n, \[Rho]] represents a Zipf distribution with range n.

TraditionalForm differs from StandardForm, the default format for input and output. It is important to understand that TraditionalForm expressions cannot always be provided ...

Cyclotomic[n, x] gives the n\[Null]^th cyclotomic polynomial in x.

FixedPointList[f, expr] generates a list giving the results of applying f repeatedly, starting with expr, until the results no longer change.

Interpolation[{f_1, f_2, ...}] constructs an interpolation of the function values f_i, assumed to correspond to x values 1, 2, ... . Interpolation[{{x_1, f_1}, {x_2, f_2}, ...

Mathematica normally makes as few assumptions as possible about the objects you ask it to manipulate. This means that the results it gives are as general as possible. But ...

GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...