Combinatorial functions. The factorial function n! gives the number of ways of ordering n objects. For non-integer n, the numerical value of n! is obtained from the gamma ...

"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 ...

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

SameTest is an option whose setting gives a pairwise comparison function to determine whether expressions should be considered the same.

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

In many practical situations it is convenient to consider limits in which a fixed amount of something is concentrated into an infinitesimal region. Ordinary mathematical ...

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