Mathematica is unique in returning the results of numerical
as symbolic functions representing the interpolation through
ordinates taken--the interpolating object. This is in contrast to
purely numerical systems, which return an unprocessed list of numbers.
Interpolating objects make results easily and immediately usable:
for example, plotting, differentiating, or finding a specific value
(whether or not it was picked for evaluation during the computation)
can all be performed with a result as if it were any built-in
Solutions to complex differential equations are easy to plot accurately because interpolating functions are used to represent them.