Sentence examples for important conjectures from inspiring English sources

Further work by him and others provided proofs for three other important conjectures.

Carlsson and Mellit introduced the Dyck path algebra and its polynomial representation, which was used to prove some important conjectures in algebraic combinatorics.

During the progress of research on QF rings, many important conjectures arose.

Even if the brothers couldn't prove anything about the digits of pi, they felt that by looking at them through the window of their machine they might at least see something that could lead to an important conjecture about pi or about transcendental numbers as a class.

This article concerns an important conjecture of Kostant about relations between simple Lie groups and finite simple groups; both are classes of well defined mathematical structures that have been classified into families, much like the chemical elements are classified in the periodic table.

There is, however, as yet no proof of this important conjecture.

It is important to conjecture that the possible presence of viruses that were not tested in samples, which were assigned as undiagnosed meningoncephalitis cases could affect the outcomes of the study to a certain extent, and this should be considered as a possible limitation of the study.

The indirect effects of fumigation with volatiles of the surrounding microhabitat might be important, however this conjecture requires further testing.

From the point of view of a mathematician, for example, the most important aspect of a conjecturing task might be the goal, the conjecture that results from the conjecturing activity, and how that conjecture expands the sphere of potential mathematical knowledge (Thurston, 1994).

They conjecture an important "equivalence theorem" between the uniformity of experimental points over the domain and the design orthogonality.

On August 22nd the International Congress of Mathematicians awarded Dr Perelman its highest honour, the Fields medal, for his solution which, having stood for three years, is now taken as correct.Poincaré's conjecture is important not for its practical applications, but because a vast quantity of mathematical work assumes that it is true.