Sentence examples for major conjectures from inspiring English sources

Meanwhile, Gerhard Frey of Germany had pointed out that, if Fermat's last theorem is false, so that there are integers u, v, w such that up + vp = wp (p greater than 5), then for these values of u, v, and p the curve y2 = x(x − up)(x + vp) has properties that contradict major conjectures of the Japanese mathematicians Taniyama Yutaka and Shimura Goro about elliptic curves.

The major evidence for the conjecture on subvarieties of small codimension comes from the concept of positivity of vector bundles ([175], also [267]).

Surprisingly, our findings do not support this conjecture; the major part of the variation in water chemistry in both streams and lakes was explained by all components (i.e., geographic position as well as regional- and local-scale variables), followed by the combination (or interaction) of geographic position and regional-scale factors.

Whether that matters to Major is a matter of conjecture.

I have identified some of the relevant genes of the paleome and conjectured that a major source of energy involved in the maintenance system could be polyphosphate, a mineral that is ubiquitous in living cells.

Special cases were then proved, but only in 2006 was the first generally convincing proof published of the Poincaré conjecture in three dimensions, which was a major unresolved part of Thurston's geometrization conjecture.

The Dachigam Telbal Nallah system is conjectured to follow two major lineaments.

One major problem in this equation of hypothesis with falsifiable conjecture is that it is usually not the case that a hypothesis is abandoned or substituted when it is "falsified".

Along with long standing unresolved questions from pure and applied mathematics such as the Riemann Hypothesis and the Hodge Conjecture, it is the subject of a major prize competition – i.e. the Millennium Problems (Cook 2006).

The sacrifice of the mythical giant Purusha, from whose dismembered limbs sprang up the four major social classes (varnas), probably served as a model for the conjectured human sacrifices.

The conjecture has been referred to as one of the major open problems in combinatorial number theory and discrepancy theory.