Sperner's lemma is a more advanced application of the same strategy.
It is also easier to extend for advanced applications such as non-linear analysis, stability, vibrations, etc.
Many advanced applications have been written to take advantage of these kinds of systems, which are referred to as "loosely coupled."
This turns the language into a practical tool for scientific and other advanced applications.
More advanced applications include power series and Fourier series.
But realistically nobody with anything else to do plays all the bells and whistles of advanced applications in two, three, four or more fields.
In the past, the fastest computers were introduced first for military and advanced corporate applications.
Such advanced applications routinely depend on additional features found only in the more recent versions of popular web browsers.
A new company making computer software for advanced medical applications, based here and in Texas, already has projects in the works in two dozen countries.
In addition, the program structure allows students to study more advanced applications through options courses related to their interests and intended career paths.