ButtonFunction is an option for the low-level function ButtonBox that specifies the function to execute when the button is active and is clicked.

GeneratingFunction[expr, n, x] gives the generating function in x for the sequence whose n\[Null]^th series coefficient is given by the expression ...

Root[f, k] represents the exact k\[Null]^th root of the polynomial equation f[x] == 0. Root[{f, x_0}] represents the exact root of the general equation f[x] == 0 near x = ...

ComplexityFunction is an option for Simplify and other functions which gives a function to rank the complexity of different forms of an expression.

NormFunction is an option for functions such as FindFit and NDSolve which gives a function to be minimized in generating results.

Mathematica allows you to use special notation for many common operators. For example, although internally Mathematica represents a sum of two terms as Plus[x,y], you can ...

With careful attention to branch cuts, Mathematica supports trigonometric functions everywhere in the complex plane, with extensive exact and algebraic transformations, ...

Special Character opens the Special Characters palette.

BooleanFunction[k, n] represents the k\[Null]^th Boolean function in n variables.BooleanFunction[values] represents the Boolean function corresponding to the specified vector ...

As discussed in "The Structure of Graphics and Sound", Mathematica includes a full graphics programming language. In this language, you can set up many different kinds of ...