Pure functions. When you use functional operations such as Nest and Map, you always have to specify a function to apply. In all the examples above, we have used the "name" of ...

Long used in its simplest form in mathematics, functional iteration is an elegant way to represent repeated operations. Mathematica's symbolic architecture makes powerful ...

The integrated visualization capabilities of Mathematica provide many tools to show data in 3D. The ability to plot points, surfaces, and contours, combined with the ...

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

PlotLabel is an option for graphics functions that specifies an overall label for a plot.

NDSolve solves a differential equation numerically. It returns solutions in a form that can be readily used in many different ways. One typical use would be to produce a plot ...

The ability to define and use your own functions is part of what gives Mathematica such power. It is often inconvenient to have to explicitly name a function for every small ...

PlotPoints is an option for plotting functions that specifies how many initial sample points to use.

"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 ...

PlotRangePadding is an option for graphics functions that specifies how much further axes etc. should extend beyond the range of coordinates specified by PlotRange.