Whether it could be as disastrous for American labor as, say, Jimmy Hoffa of the Teamsters, is a matter of conjecture.

If the conjecture were true, it would be a generalization of Fermat's last theorem, which could be seen as the special case n = 2: if, then.

Using mathematical rules and procedures based on properties of reducible configurations, Appel and Haken found an unavoidable set of reducible configurations, thus proving that a minimal counterexample to the four-color conjecture could not exist.

By explaining past changes by analogy with present phenomena, a limit is set to conjecture, for there is only one way in which two things are equal, but there are an infinity of ways in which they could be supposed different.

Some analyses using the semiclassical approach to incorporating quantum effects into general relativity indicate that a feedback loop of virtual particles would circulate through the wormhole with ever-increasing intensity, destroying it before any information could be passed through it, in keeping with the chronology protection conjecture.

Paul Erdős: He died suddenly of heart failure, without fear or pain, while he could still prove and conjecture.

Certain principles ( e. g., for any two objects, there is a collection of objects consisting of precisely those two objects ) could be directly seen to be true, but the continuum hypothesis conjecture might prove undecidable just on the basis of such principles.

Gödel suggested that quasi-empirical methodology could be used to provide sufficient evidence to be able to reasonably assume such a conjecture.

It is only a question of conjecture then that Donald called his brother Richard and told him that Meier gave the Democrats all the Hughes information that could destroy him and that O ’ Brien had the proof.

However, putting all of these conditions together, it remains open whether 3-connected 3-regular bipartite planar graphs must always contain a Hamiltonian cycle, in which case the problem restricted to those graphs could not be NP-complete ; see Barnette's conjecture.

This conjecture was confirmed when he observed his skin to be hotter, his colour to be heightened, and his pulse quickened, whenever Stratonice came near him, while none of these symptoms occurred on any other occasion ; and accordingly he told Seleucus that his son's disease was incurable, for that he was in love, and that it was impossible that his passion could be gratified ; The king wondered what the difficulty could be, and asked who the lady was.

Gödel suggested that quasi-empirical methodology such as experience could provide sufficient evidence to be able to reasonably assume such a conjecture.

Boolos proved a conjecture due to Crispin Wright ( and also proved, independently, by others ), that the system of Frege's Grundgesetze, long thought vitiated by Russell's paradox, could be freed of inconsistency by replacing one of its axioms, the notorious Basic Law V with Hume's Principle.

He hypothesized that higher revenues could constrain spending, and found strong statistical support for that conjecture based on data from 1981 to 2005.

If a lower bound ( for the function value ) could be found for every one of these configurations that was greater than the value of the function for the cubic close packing arrangement, then the Kepler conjecture would be proved.

He recognized that this was only a conjecture, since one could never disprove ( b ).

In 1999, Wolff posed the finite field analogue to the Kakeya problem, in hopes that the techniques for solving this conjecture could be carried over to the Euclidean case.

It also became clear that K-theory could play a role in algebraic cycle theory in algebraic geometry ( Gersten's conjecture ): here the higher K-groups become connected with the higher codimension phenomena, which are exactly those that are harder to access.

The solution by Smale, in 1961, of the Poincaré conjecture in higher dimensions made dimensions three and four seem the hardest ; and indeed they required new methods, while the freedom of higher dimensions meant that questions could be reduced to computational methods available in surgery theory.

Bell acknowledged that parts of his story were incorrect and that the broadcast could have been interpreted by some parties as " furtive racism ", though he countered that " such a conjecture would be completely untrue ".

A skew partition is a partition of a graph's vertices into two subsets, one of which induces a disconnected subgraph and the other of which has a disconnected complement ; had conjectured that no minimal counterexample to the strong perfect graph conjecture could have a skew partition.

Riccioli explained that this conjecture could not work: It could not apply to the fall of bodies near the Earth's poles, where there would be little or no circular motion caused by Earth's rotation ; and even at the equator where there would be more motion caused by Earth's rotation, the rate of fall predicted by Galileo's idea was too slow.

In anticipation of its eventual proof, some have proceeded to develop further proofs which are contingent on the truth of this conjecture.

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

Testing other values shows that no particle with enough angular momentum to violate the censorship conjecture would be able to enter the black hole, because they have too much angular momentum to fall in.

those who disagree concerning it are in doubt thereof ; they have no knowledge thereof save pursuit of a conjecture ; they slew him not for certain.

Such equations do not have a general theory ; particular cases such as Catalan's conjecture have been tackled.

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.

This problem seems to have lain dormant for a time, until J. H. C. Whitehead revived interest in the conjecture, when in the 1930s he first claimed a proof, and then retracted it.

For example, the Mertens conjecture is a statement about natural numbers that is now known to be false, but no explicit counterexample ( i. e., a natural number n for which the Mertens function M ( n ) equals or exceeds the square root of n ) is known: all numbers less than 10 < sup > 14 </ sup > have the Mertens property, and the smallest number which does not have this property is only known to be less than the exponential of 1. 59 × 10 < sup > 40 </ sup >, which is approximately 10 to the power 4. 3 × 10 < sup > 39 </ sup >.

* There are reports that the Poincaré conjecture may have been solved by Martin Dunwoody.

The Basilica di Fano ( to give the building its Italian name ) has disappeared so completely that its very site is a matter of conjecture, although various attempts have been made to visualise it.

Though all knowledge about Anne's experiences in the French court are conjecture, even Eric Ives, in his latest edition of the biography, conjectures that she was likely to have made the acquaintance of King Francis I's sister, Marguerite de Navarre, a patron of humanists and reformers.

Other famous problems on his list include the Poincaré conjecture, the P = NP problem, and the Navier-Stokes equations, all of which have been designated Millennium Prize Problems by the Clay Mathematics Institute.

The Mertens conjecture concerning its growth, conjecturing it bounded by x < sup > 1 / 2 </ sup >, which would have implied the Riemann hypothesis, is now known to be false ( Odlyzko and te Riele, 1985 ).

Both questions have remained unsolved ever since, although the weak form of the conjecture appears to be much closer to resolution than the strong one.

With the advent of computers, many more values of n have been checked ; T. Oliveira e Silva is running a distributed computer search that has verified the conjecture for n ≤ 4 × 10 < sup > 18 </ sup > ( and double-checked up to 2 × 10 < sup > 17 </ sup >).

* In the Spanish movie La habitación de Fermat ( 2007 ), a young mathematician claims to have proved the conjecture.

Another brother, Lambert, is mentioned in Burgundian court documents, and there is a conjecture that he too was a painter, and that he may have overseen the closing of Jan van Eyck's Bruges workshop.

Scholars conjecture that the type pieces may have been cast from a series of matrices made with a series of individual stroke punches, producing many different versions of the same glyph.

From 1971 on several mathematicians have been working on Wall's conjecture, posed by Wall in a 1971 paper, which said that all finitely generated groups were accessible.

Another example of this line of work is the Thom conjecture, versions of which have been investigated using gauge theory.