Monitor[expr, mon] generates a temporary monitor cell in which the continually updated current value of mon is displayed during the course of evaluation of expr.

Button[label, action] represents a button that is labeled with label, and evaluates action whenever it is clicked.

Symbolic graphics and unparalleled function and data visualization

GraphProduct[g_1, g_2, ...] constructs the product of graphs g_1, g_2, and so forth.

CartesianProduct[l_1, l_2] gives the Cartesian product of lists l_1 and l_2.

Dashing[{r_1, r_2, ...}] is a two-dimensional graphics directive specifying that lines that follow are to be drawn dashed, with successive segments of lengths r_1, r_2, ... ...

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

General Mathematica patterns provide a powerful way to do string manipulation. But particularly if you are familiar with specialized string manipulation languages, you may ...

FindMinimum[f, x] searches for a local minimum in f, starting from an automatically selected point.FindMinimum[f, {x, x_0}] searches for a local minimum in f, starting from ...