PowerMod[a, b, m] gives a^b mod m. PowerMod[a, -1, m] finds the modular inverse of a modulo m.PowerMod[a, 1/r, m] finds a modular r\[Null]^th root of a.

lhs :> rhs or lhs :> rhs represents a rule that transforms lhs to rhs, evaluating rhs only after the rule is used.

Element[x, dom] or x \[Element] dom asserts that x is an element of the domain dom. Element[{x_1, x_2, ...}, dom] asserts that all the x_i are elements of dom. Element[patt, ...

MultiedgeStyle is an option for GraphPlot and related functions that specifies how to draw multiple edges.

FaceGrids is an option for three-dimensional graphics functions that specifies grid lines to draw on the faces of the bounding box.

TableSpacing is an option for TableForm and MatrixForm which specifies how many spaces should be left between each successive row or column.

3D graphics can be created with a number of powerful Mathematica functions. 3D graphics in Mathematica can be rotated and zoomed using a standard mouse or even a joystick or ...

Mathematica has many ways to plot functions and data. It automates many details of plotting such as sample rate, aesthetic choices, and focusing on the region of interest. ...

Resultant[poly_1, poly_2, var] computes the resultant of the polynomials poly_1 and poly_2 with respect to the variable var. Resultant[poly_1, poly_2, var, Modulus -> p] ...

The simplest way to mix text and formulas in a Mathematica notebook is to put each kind of material in a separate cell. Sometimes, however, you may want to embed a formula ...