Sentence examples for sophisticated mathematics from inspiring English sources

As their civilisation grew, they needed to do more and more sophisticated mathematics to help them build and trade.

Clausius and two other physicists, the Scot James Clerk Maxwell and the Austrian Ludwig Eduard Boltzmann (who developed the kinetic theory of gases in the 1860s), introduced sophisticated mathematics into physics for the first time since Newton.

Continuous communication is closely related to discrete communication (in the sense that any continuous signal can be approximated by a discrete signal), although the relationship is sometimes obscured by the more sophisticated mathematics involved.

In his presentation Mr. Jobs showed demonstrations, including Adobe's Photoshop and Mathematica, a sophisticated mathematics equation solver from Wolfram Research that greatly benefited from the 64-bit processing power of the new G5.

Moreover, it had the characteristics of activities that I love to use with young kids: it causes them to practice some useful basic skill (in this case, calculating change for a dollar) for the purpose of trying to win a strategy game with more sophisticated mathematics".

On the other hand, high-level user-interface languages for special-purpose software have been much more successful; for example, languages like Mathematica, in which sophisticated mathematics may be easily expressed, or the "fourth generation" database-querying languages that allow users to express requests for data with simple English-like commands.

In the 1980s French banks developed sophisticated equity derivatives, based on the advanced mathematics taught by the French system.

It is difficult to know what would have counted as advanced mathematics in Aristotle's time, but certainly (13) is very elegant and sophisticated.

The first two strategy types do not explicitly use mathematics, though prior research suggests that the Plausible Guesstimation strategy is a foundation upon which more sophisticated mathematical strategies can be built (Nhouyvanisvong, 1999).

Nor are more sophisticated methods foolproof: students who are fully capable of applying rigorous definitions may still fall back on intuitive images when they are surprised by a result in advanced mathematics, including 0.999..

In contrast to other branches of mathematics, many of the problems and theorems of number theory can be understood by laypersons, although solutions to the problems and proofs of the theorems often require a sophisticated mathematical background.