Quotient[m, n] gives the integer quotient of m and n. Quotient[m, n, d] uses an offset d.
SixJSymbol[{j_1, j_2, j_3}, {j_4, j_5, j_6}] gives the values of the Racah 6-j symbol.
WolframAlpha["query"] sends query to Wolfram|Alpha and imports the output.WolframAlpha["query", format] imports the output according to the specified format.
There are many functions that are built into Mathematica. This tutorial discusses how you can add your own simple functions to Mathematica. As a first example, consider ...
GraphicsColumn[{g_1, g_2, ...}] generates a graphic in which the g_i are laid out in a column, with g_1 above g_2, etc. GraphicsColumn[list, alignment] aligns each element ...
GraphicsRow[{g_1, g_2, ...}] generates a graphic in which the g_i are laid out in a row.GraphicsRow[list, spacing] leaves the specified spacing between successive elements.
Catch
(Built-in Mathematica Symbol) Catch[expr] returns the argument of the first Throw generated in the evaluation of expr. Catch[expr, form] returns value from the first Throw[value, tag] for which form ...
f' represents the derivative of a function f of one argument. Derivative[n_1, n_2, ...][f] is the general form, representing a function obtained from f by differentiating n_1 ...
Element
(Built-in Mathematica Symbol) 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, ...
Flat
(Built-in Mathematica Symbol) Flat is an attribute that can be assigned to a symbol f to indicate that all expressions involving nested functions f should be flattened out. This property is accounted for ...