The weak and the strong cosmic censorship hypotheses are two mathematical conjectures about the structure of singularities arising in general relativity.

The weak and the strong cosmic censorship hypothesis are two conjectures concerned with the global geometry of spacetimes.

The two conjectures are now known to be equivalent, but this did not seem to be an issue at the time.

The strong Goldbach conjecture is in fact very similar to the twin prime conjecture, and the two conjectures are believed to be of roughly comparable difficulty.

In this rendering, Cross has restored the missing top of the tablet ( estimated at two lines ) based on the content of the rest of the inscription, as referring to a battle that has been fought and won by general Milkaton, son of Shubna, against the Sardinians at the site of, surely Tarshish ; Cross conjectures that Tarshish here " is most easily understood as the name of a refinery town in Sardinia, presumably Nora or an ancient site nearby.

In the fields of algebraic geometry, number theory and the links between the two, the Weil conjectures were very important.

The first of the Weil conjectures was proved by Bernard Dwork, and a completely different proof of the first two conjectures via l-adic cohomology was given by Alexander Grothendieck.

In fact, the elliptization conjecture is logically equivalent to two simpler conjectures: the Poincaré conjecture and the spherical space form conjecture.

He left two conjectures, both known as Artin's conjecture.

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

This explains why Weil was able to give a more elementary proof of the Weil conjectures in these two cases: in general one expects to find an elementary proof whenever there is an elementary description of the ℓ-adic cohomology.

On the other hand, if two further conjectures are made, along the lines that:

Gauss discusses imaginary quadratic fields in Article 303, stating the first two conjectures, and discusses real quadratic fields in Article 304, stating the third conjecture.

The Norwegian scholar Alf Torp ( 1853 – 1916 ) in Indogermanische Forschungen ( 1895 ), V, 195, deals fully with the two inscriptions just mentioned, and practically sums up all that is either certain or probable in the conjectures of his predecessors.

In his initial work on perfect graphs, Berge made two important conjectures on their structure that were only proved later.

Ross conjectures that the two Earths lie parallel, which would mean that the Ross from the Counter-Earth is living through similar experiences on the far side of the Sun.

In two dimensions, arguments from conformal field theory and simulation results led to a number of exciting conjectures.

Morwen Thistlethwaite, Louis Kauffman and K. Murasugi proved the first two Tait conjectures in 1987 and Morwen Thistlethwaite and William Menasco proved the Tait flyping conjecture in 1991.

There are two main conjectures known as the Hadwiger conjecture or Hadwiger's conjecture:

Observing, e. g., that the intercept-Porism is still true if the two fixed points are points on a conic, and the straight lines drawn through them intersect on the conic instead of on a fixed straight line, Zeuthen conjectures that the Porisms were a by-product of a fully developed projective geometry of conics.

To both of the other two the same objection may be urged, that they are largely founded on conjecture and on the critical examination of documents of a much later date than the periods to which the conjectures relate.

He proved two conjectures, one of which was the corresponding of the Goldbach conjecture for practical numbers: every even number is a sum of two practical numbers.

But in our case -- and neither my wife nor I have extreme views on integration, nor are we given to emotional outbursts -- the situation has ruined one or two valued friendships and come close to wrecking several more.

The two main charges levelled against the Bourbons by liberals is that they are racists and social reactionaries.

( There are two receivers in case one should be dropped and damaged.

It seems that for Persia, and especially for this city, there are only two times: the glorious past and the corrupt, depressing, sterile present.

The one apparent connection between the two is a score of buildings which somehow or other have survived and which naturally enough are called `` historical monuments ''.

These songs ( practically all Persian music, for that matter ) are limited to a range of two octaves.

Here are the two Preambles: Federal Constitution, 1789

Whatever pole of this contrast one emphasizes and whatever the tension between these two approaches to understanding the artistic imagination, it will be readily seen that they are not mutually exclusive, that they belong together.

But people can't be made to integrate, socialize ( the two are inseparable by Southern standards ) by law.

Of these there are surely few that would be more rewarding discoveries than Verner Von Heidenstam, the Swedish poet and novelist who received the award in 1916 and whose centennial was celebrated two years ago.

In the mystery story, as in The Wealth of Nations, individualism and the social good are two sides of the same benevolent coin.

So all-important are ideas, we are told, that persons successful in business and happy in social life usually fall into two classes: those who invent new ideas of their own, and those who borrow, beg, or steal from others.

These ways are absolutely irreconcilable because they offer two different recipes for man's redemption from chaos.

Within this context of spontaneous and unanalyzed responses to the experience of civilizational crisis, two basic organizations of response are observable: reaction and ideological progressivism.

There is probably some significance in the fact that two of the best incest stories I have encountered in recent years are burlesques of the incest myth.

Here, in two nations alone, are almost five hundred million people, all working, and working hard, to raise their standards, and in doing so, to make of themselves a strong bulwark against the spread of an ideology that would destroy liberty.

`` the matters to be considered are obviously of a grave character, and I therefore respectfully request that the hearing be postponed for two weeks in order that I might make adequate preparation ''.

Office workers frequently go out there to lunch and swim during the siesta period, which, during the summer, lasts from two until five in the afternoon, when shops and offices are again open for business.

But there are at least two reasons for contemplating one's mind in even a cracked mirror.

There are only two men remaining in Congress who, with Rayburn, voted for the declaration of war against Germany in 1917.

Regardless of the decision two facts are clear.

Some brilliant rookies nailed them down, so that this spring just two spots, left and right field, are really up for grabs.

The speed is controlled by pressing on the two brake buttons located where the index finger and thumb are placed when holding the motor.

The biggest nuclear device the United States has exploded measured some 15 megatons, although our B-52s are said to be carrying two 20-megaton bombs apiece.