"Defining Functions" discusses how you can define functions in Mathematica. In a typical case, you would type in f[x_]=x^2 to define a function f. (Actually, the definitions ...

Using original algorithms developed at Wolfram Research, Mathematica evaluates error and exponential integral functions anywhere in the complex plane, to arbitrary ...

DefineDLLFunction["func", " dll", rtype, atypes] returns a Mathematica function that calls the specified function func with argument types atypes and return type rtype in the ...

Mathematica can plot parametric functions in both two and three dimensions. Use a parametric plot when you can express the x and y or x , y , and z coordinates at each point ...

The Mathematica compiler generates a CompiledFunction expression that contains a sequence of simple instructions for evaluating a Mathematica computation. The compiled ...

$DisplayFunction gives the default setting for the option DisplayFunction in graphics functions.

DateFunction is an option for DateListPlot that specifies how dates given as input should be converted to date lists.

The representation of algebraic numbers. When you enter a Root object, the polynomial that appears in it is automatically reduced to a minimal form. This extracts the pure ...

Even more so than for other special functions, you need to be very careful about the arguments you give to elliptic integrals and elliptic functions. There are several ...

Mathematica can efficiently handle both univariate and multivariate rational functions, with built-in functions immediately implementing standard algebraic transformations.