VertexList[g] gives the list of vertices for the graph g.VertexList[g, patt] gives a list of vertices that match the pattern patt.

EdgeList[g] gives the list of edges for the graph g. EdgeList[g, patt] gives a list of edges that match the pattern patt.

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.

Numerical root finding. NSolve gives you numerical approximations to all the roots of a polynomial equation. You can also use NSolve to solve sets of simultaneous equations ...

Mathematica offers support for a large number of file formats for importing, exporting, or other operations. It has several standard locations where it looks for files. You ...

Mathematica has over a thousand options that allow full control over every aspect of its interface. These options can be set interactively from menus, defined in stylesheets, ...

PolynomialRemainder[p, q, x] gives the remainder from dividing p by q, treated as polynomials in x.

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, ...

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There are four kinds of bracketing used in Mathematica. Each kind of bracketing has a very different meaning. It is important that you remember all of them. The four kinds of ...