Sentence examples for mathematical advances from inspiring English sources

The professors believe, however, that recent mathematical advances and increases in computer power make the translation easier.

Contributions include introductory papers (Harizanov, Schulte), mathematical advances (Martin, Sharma, Stephan, Kalantari), philosophical reflections on the strengths and implications of learning theory (Glymour, Larvor, Friend), applications of the theory to philosophical problems (Kelly), and a discussion of learning-theoretic thinking in the history of philosophy (Goethe).

The widespread use of indivisibles and infinitesimals in the analysis of continuous variation by the mathematicians of the time testifies to the affirmation of a kind of mathematical atomism which, while logically questionable, made possible the spectacular mathematical advances with which the calculus is associated.

Not all mathematical advances relating to were aimed at increasing the accuracy of approximations.

In this article, we build on mathematical advances in the field of algebraic geometry that have made it possible to reconsider invariants as a practical and flexible source for reconstruction algorithms [ 9- 11].

The technique employs technologic and mathematical advances and, depending on the technology employed, can yield quantified, three-dimensional maps of absorption, scattering, vascularization, oxygenation, and contrast agent uptake in either fluorescence or absorption mode.

He also wrote, "I do not know of an instance of a major mathematical advance initiated by a man past fifty".

It took 300 years of mathematical advance to prove Fermat's last theorem, and 100 pages of closely argued calculation, and whatever Fermat's answer was, it could not have followed the same reasoning as Wiles's proof.

If confidence in bad logic has sometimes been responsible for holding up mathematical advance, bolder mathematicians have always known in practice that the right thing to do is to let the argument take them wherever it will on strictly mathematical lines, leaving it to logicians to recognize the fact and adjust their theory at their convenience.

The mathematical techniques advanced by Volterra are now in common use by earth scientists in explaining ground displacement and deformation induced by tectonic faulting.

We demonstrate that a systematic genetic approach combined with mathematical modelling can advance the study of oscillatory phenomena.