RegionFunction is an option for plotting functions that specifies the region to include in the plot drawn.

CoefficientList[poly, var] gives a list of coefficients of powers of var in poly, starting with power 0. CoefficientList[poly, {var_1, var_2, ...}] gives an array of ...

Mathematica can represent not only data and programs, but also the execution history of programs, as symbolic expressions—which can be displayed, manipulated, and analyzed ...

CounterFunction is an option for counters that specifies the symbols used to display the value of the counter.

ReplacePart[expr, i -> new] yields an expression in which the i\[Null]\[Null]^th part of expr is replaced by new. ReplacePart[expr, {i_1 -> new_1, i_2 -> new_2, ...}] ...

Min[x_1, x_2, ...] yields the numerically smallest of the x_i. Min[{x_1, x_2, ...}, {y_1, ...}, ...] yields the smallest element of any of the lists.

DedekindEta[\[Tau]] gives the Dedekind eta modular elliptic function \[Eta](\[Tau]).

MemberQ[list, form] returns True if an element of list matches form, and False otherwise. MemberQ[list, form, levelspec] tests all parts of list specified by levelspec.

The single command Manipulate lets you create an astonishing range of interactive applications with just a few lines of input. Manipulate is designed to be used by anyone who ...

CellEvaluationFunction is an option to Cell which gives a function to be applied to every expression from the cell that is sent to the kernel for ordinary evaluation.