One of the more dramatic successes of his theory was his prediction of the existence of secondary and tertiary alcohols, a conjecture that was soon confirmed by the synthesis of these substances.

His attitude towards conjectures was that one should not dignify a guess as a conjecture lightly, and in the Taniyama case, the evidence was only there after extensive computational work carried out from the late 1960s.

‘‘ The most prevalent conjecture was that they were some of the German peoples which extended as far as the northern ocean ,</ br >

Although Tiberius was 77 and on his death bed, some ancient historians still conjecture that he was murdered.

The most celebrated single question in the field, the conjecture known as Fermat's Last Theorem, was solved by Andrew Wiles but using tools from algebraic geometry developed during the last century rather than within number theory where the conjecture was originally formulated.

Euler's conjecture is a disproved conjecture in mathematics related to Fermat's last theorem which was proposed by Leonhard Euler in 1769.

* In the 1960s, EDSAC was used to gather numerical evidence about solutions to elliptic curves, which led to the Birch and Swinnerton-Dyer conjecture.

The conjecture was first proposed in 1852 when Francis Guthrie, while trying to color the map of counties of England, noticed that only four different colors were needed.

This formula, the Heawood conjecture, was conjectured by P. J.

In 1973 the number theorist Hugh Montgomery was visiting the Institute for Advanced Study and had just made his pair correlation conjecture concerning the distribution of the zeros of the Riemann zeta function.

Gin, though, was blamed for various social problems, and it may have been a factor in the higher death rates which stabilized London's previously growing population, although there is no evidence for this and it is merely conjecture.

But Steinschneider will not admit the possibility of this conjecture, while Renan scarcely strengthens it by regarding " Andreas " as a possible northern corruption of " En Duran ," which, he says, may have been the Provençal surname of Anatoli, since Anatoli, in reality, was but the name of his great-grandfather.

In fact, whether one can smooth certain higher dimensional spheres was, until recently, an open problem — known as the smooth Poincaré conjecture.

Yusuf Ali ’ s translation reads " That they said ( in boast ), " We killed Christ Jesus the son of Mary, the Messenger of Allah ";― but they killed him not, nor crucified him, but so it was made to appear to them and those who differ therein are full of doubts, with no ( certain ) knowledge, but only conjecture to follow, for of a surety they killed him not .― ( 157 ) Nay, Allah raised him up unto Himself ; and Allah is Exalted in Power, Wise.

" And while the conjecture may one day be solved, the argument applies to similar unsolved problems ; to Brouwer, the law of the excluded middle was tantamount to assuming that every mathematical problem has a solution.

He was awarded the Bôcher Memorial Prize in mathematical analysis in 1964 for his paper " On a conjecture by Littlewood and idempotent measures ", and lends his name to the Cohen-Hewitt factorization theorem.

The Poincaré conjecture, before being proven, was one of the most important open questions in topology.

This conjecture has not been proven or disproven.

The conjecture was disproven in 1974 by Paul Schweitzer, who exhibited a counterexample.

* Crank conjecture, a term coined by Freeman Dyson to explain congruence patterns in integer partitions

He may have been married, a conjecture supported by his writings.

Whether this formula produces an infinite quantity of Carmichael numbers is an open question ( though it is implied by Dickson's conjecture ).

At the moment, it is not known how the material is produced or if it remains stable without applied pressure, however, there is conjecture that it is possible to produce a new stable state of matter by compressing ultracold deuterium in a Rydberg state.

Woudhuizen revived a conjecture to the effect that the Tyrsenians came from Anatolia, including Lydia, whence they were driven by the Cimmerians in the early Iron Age, 750 – 675 BC, leaving some colonists on Lemnos.

This conjecture is also supported by other letters Galois later wrote to his friends the night before he died.

Another early published reference by in turn credits the conjecture to De Morgan.

Beyond the Bible, considerable conjecture has been put forward over the centuries in the form of Christian and Rabbinic tradition, but such accounts are dismissed by modern scholars as speculative and apocryphal.

This conjecture, however, is discredited by the Oxford English Dictionary.

If a definite statement is believed plausible by some mathematicians but has been neither proved nor disproved, it is called a conjecture, as opposed to an ultimate goal: a theorem that has been proved.

A conjecture developed by Cumrun Vafa, Amer Iqbal, and Andrew Neitzke in 2001, called " mysterious duality ", concerns a set of mathematical similarities between objects and laws describing M-theory on k-dimensional tori ( i. e. type II superstring theory on T < sup > k − 1 </ sup > for k > 0 ) on one side, and geometry of del Pezzo surfaces ( for example, the cubic surfaces ) on the other side.

This conjecture seems to be confirmed in the introduction of the first volume of the chronicles of Gallus Anonymus concerning the Pomeranians: Although often the leaders of the forces defeated by the Polish duke sought salvation in baptism, as soon as they regained their strength, they repudiated the Christian faith and started the war against Christians anew.

After nearly a century of effort by mathematicians, Grigori Perelman presented a proof of the conjecture in three papers made available in 2002 and 2003 on arXiv.

An exposition of attempts to prove this conjecture can be found in the non-technical book Poincaré's Prize by George Szpiro.

In 1961 Stephen Smale shocked mathematicians by proving the Generalized Poincaré conjecture for dimensions greater than four and extended his techniques to prove the fundamental h-cobordism theorem.

In these papers he sketched a proof of the Poincaré conjecture and a more general conjecture, Thurston's geometrization conjecture, completing the Ricci flow program outlined earlier by Richard Hamilton.

Rosen's conjecture was proven in 2008 by P. L.

* Clément, L., La conjecture de MJH Mogridge: test sur l ’ agglomération de Lyon ( PDF ), Cahiers Scientifiques du Transport ( 30 ), 1995.

6 ) Restriction of scalars on abelian varieties ( e. g. elliptic curves ) yields abelian varieties, if L is separable over k, and Milne used this to reduce the Birch and Swinnerton-Dyer conjecture for abelian varieties over all number fields to the same conjecture over the rationals.

The conjecture relates arithmetic data associated to an elliptic curve E over a number field K to the behaviour of the Hasse – Weil L-function L ( E, s ) of E at s = 1.

This in turn led them to make a general conjecture about the behaviour of a curve's L-function L ( E, s ) at s = 1, namely that it would have a zero of order r at this point.

This was a far-sighted conjecture for the time, given that the analytic continuation of L ( E, s ) there was only established for curves with complex multiplication, which were also the main source of numerical examples.

This solution was found in 1966 by L. J. Lander and T. R. Parkin, and disproved Euler's sum of powers conjecture.

The conjecture turned out to be true, resolved positively and proved simultaneously by L. Bican, R. El Bashir and E. Enochs.

The general approach of diophantine geometry is illustrated by Faltings ' theorem ( a conjecture of L. J. Mordell ) starting that an algebraic curve C of genus g > 1 over the rational numbers has only finitely many rational points.

* The Deligne conjecture on special values of L-functions is a formulation of the hope for algebraicity of L ( n ) where L is an L-function and n is an integer in some set depending on L.

The Artin conjecture on Artin L-functions states that the Artin L-function L ( ρ, s ) of a non-trivial irreducible representation ρ is analytic in the whole complex plane.