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full and 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.
* John Morgan and Gang Tian posted a paper on the arXiv in July 2006 which gave a detailed proof of just the Poincaré Conjecture ( which is somewhat easier than the full geometrization conjecture ) and expanded this to a book.
The full Taniyama – Shimura – Weil conjecture was finally proved by,, and who, building on Wiles ' work, incrementally chipped away at the remaining cases until the full result was proved.
Grigori Perelman sketched a proof of the full geometrization conjecture in 2003 using Ricci flow with surgery.
Many abstract problems can be solved routinely, others have been solved with great effort, for some significant inroads have been made without having led yet to a full solution, and yet others have withstood all attempts, such as Goldbach's conjecture and the Collatz conjecture.
) This doesn't prove the full geometrization conjecture because the most difficult case turns out to concern manifolds with negative Ricci curvature and more specifically those with negative sectional curvature.
conjecture, the golden angle is the smaller of the two angles created by sectioning the circumference of a circle according to the golden section ; that is, into two arcs such that the ratio of the length of the larger arc to the length of the smaller arc is the same as the ratio of the full circumference to the length of the larger arc.
The Hodge conjecture, may be neatly reformulated using motives: it holds iff the Hodge realization mapping any pure motive with rational coefficients ( over a subfield k of ℂ ) to its Hodge structure is a full functor H: M ( k )< sub > ℚ </ sub > → HS < sub > ℚ </ sub > ( rational Hodge structures ).
If the Birch and Swinnerton-Dyer conjecture was proved, Tunnell's theorem would give a full resolution to the congruent number problem.
( Aleksandr Solzhenitsyn extensively investigates and gives full credit to this conjecture in his historical novel August 1914.
A definite theoretical decision on the status of the chronology protection conjecture would require a full theory of quantum gravity as opposed to the semiclassical arguments that have been mainly used to support it ( there are also some arguments from string theory which seem to support chronology protection, but string theory is not yet a complete theory of quantum gravity ).
While it is possible to call something a conjecture until a full formal proof is provided, until and unless that proof is provided, it does not become a theorem.
Semiclassical approaches to incorporating quantum effects into general relativity seem to show that the chronology protection conjecture postulated by physicist Stephen Hawking fails to prevent the formation of such rings, although some experts such as Matt Visser feel that there are reasons to think the semiclassical approach is unreliable here, and that a full theory of quantum gravity will likely uphold chronology protection.
Voevodsky has used this new algebraic homotopy theory to prove the Milnor conjecture ( for which he was awarded the Fields Medal ) and later, in collaboration with M. Rost, the full Bloch-Kato conjecture.
* An abstract for a talk on the proof of the full Bloch-Kato conjecture
5 was made by Wacław Sierpiński, and the full conjecture is due to Andrzej Schinzel.
In fact from the Kummer – Vandiver conjecture and the norm residue isomorphism theorem follow a full conjectural calculation of the K-groups for all values of n ; see Quillen – Lichtenbaum conjecture for details.
As a proof that Otto had the full confidence and support of the King of England, we find that the moment he obtained his liberty, he wrote to communicate the same to Henry III, who was his cousin, and as Henry's answer dated 6 March 1229 has fortunately been preserved by Thomas Rymer, it becomes a valuable part of these annals, as it puts our conjecture beyond a doubt.

full and is
The street that is full now of traffic and parked cars then and for many years drowsed on an August afternoon in the shade of the curbside trees, and silence was a weight, almost palpable, in the air.
In this respect experience is broader and full of a richer variety of potential meanings than the mind of man or any of his arts or culture are capable of making clear and distinct.
It is a lonely, rather desolate region, but full of legendary and historic associations.
This is full evidence of your support for my principles.
That he read some of the books assigned to him with a studied carefulness is evident from his notes, which are often so full that they provide an unquestionable basis for the identification of reviews that were printed without his signature.
Because of the means of publication -- science-fiction magazines and cheap paperbacks -- and because dystopian science fiction is still appearing in quantity the full range and extent of this phenomenon can hardly be known, though one fact is evident: the science-fiction imagination has been immensely fertile in its extrapolations.
Much more important is to grasp the feelings of the narrator ( whose full name is never given ) as he becomes aware of the disorganized and bewildered mass of French prisoners clustered together in a temporary prison camp in and around the cathedral of Chartres.
What is required is the full implementation of Article 2 of the Treaty, which provides: `` The Parties will contribute toward the further development of peaceful and friendly international relations by strengthening their free institutions, by bringing about a better understanding of the principles upon which these institutions are founded, and by promoting conditions of stability and well-being.
Now the park is filled with marble busts and all the streets in the immediate area have the full and proper names of the men who fell.
And there must be many Soviet citizens who know what is going on and who realize that before they can hope to enjoy the full life promised for 1980 they and their children must first survive.
A Member of the United Nations which is in arrears in the payment of its financial contributions to the Organization shall have no vote in the General Assembly if the amount of its arrears equals or exceeds the amount of the contributions due from it for the preceding two full years ''.
But for the average citizen, unfortunately, this is one of science's worst-marked channels, full of tricky currents and unknown depths.
Some government scientists say privately that the figure probably is closer to 80 megatons, and that the full 50-megaton bomb that Khrushchev mentioned may still be detonated.
Congress is full of politicians, and if you want to get along with them, you have to be politic.
Any claimant whose claim is denied, or is approved for less than the full amount of such claim, shall be entitled, under such regulations as the Commission may prescribe, to a hearing before the Commission, or its duly authorized representatives, with respect to such claim.
If you were required to file a declaration of estimated tax for the calendar year 1961, it is not necessary to pay the fourth installment otherwise due on January 15, 1962, if you file your income tax return Form 1040, and pay your tax in full for the calendar year 1961 by January 31, 1962.
The filing of an original or amended declaration, otherwise due on January 15, 1962, is also waived, if you file your Form 1040 for 1961 and pay the full tax by January 31, 1962.
The reason that we are not going ahead full speed to develop high thrust-to-weight engines is that it would cost perhaps a billion dollars -- and you don't spend that sort of money if aircraft are obsolete.
The music is always allowed the living space needed to attain its full sonority ; ;
The amount of liquid poured into the chamber is determined by subtracting the quantity still in the beaker when the chamber is full from the original quantity.

full and corollary
A consequence of the Jacobson density theorem is Wedderburn's theorem ; namely that any right artinian simple ring is isomorphic to a full matrix ring of n by n matrices over a division ring for some n. This can also be established as a corollary of the Artin – Wedderburn theorem.

full and strong
Since gaining independence from the United Kingdom in 1960, Cyprus has had a record of successful economic performance, reflected in strong growth, full employment conditions and relative stability.
In Hesiod, prayers to Zeus-Chthonios ( chthonic Zeus ) and Demeter help the crops grow full and strong.
Thus, a central conclusion of Keynesian economics is that, in some situations, no strong automatic mechanism moves output and employment towards full employment levels.
These films show strong affinities with the work of Italian neorealists, not least Roberto Rossellini's neorealist trilogy which included Germany Year Zero ( 1948 ), and are concerned primarily with day-to-day life in the devastated Germany and an initial reaction to the events of the Nazi period ( the full horror of which was first experienced by many in documentary footage from liberated concentration camps ).
Freenet works by storing small encrypted snippets of content distributed on the computers of its users and connecting only through intermediate computers which pass on requests for content and sending them back without knowing the contents of the full file, similar to how routers on the Internet route packets without knowing anything about files — except with caching, a layer of strong encryption, and without reliance on centralized structures.
Psychologists, however, have found that there is no strong evidence for effects on human behavior around the time of a full moon.
Because of its mission statement, Harvey Mudd College places an unusually strong emphasis on general science education, requiring a full one-third of math, science, and engineering courses, known as the " common core ," outside of one's major.
If the reloaded cartridges are going to be used in the same firearm in which they were previously fired, though, and if that firearm has a bolt action or other action with a strong camming action on closing, then full length resizing may not be needed.
It said the Fathers saw foreshadowings of Mary's " wondrous abundance of divine gifts and original innocence " " in that ark of Noah, which was built by divine command and escaped entirely safe and sound from the common shipwreck of the whole world ; in the ladder which Jacob saw reaching from the earth to heaven, by whose rungs the angels of God ascended and descended, and on whose top the Lord himself leaned ; in that bush which Moses saw in the holy place burning on all sides, which was not consumed or injured in any way but grew green and blossomed beautifully ; in that impregnable tower before the enemy, from which hung a thousand bucklers and all the armor of the strong ; in that garden enclosed on all sides, which cannot be violated or corrupted by any deceitful plots ; in that resplendent city of God, which has its foundations on the holy mountains ; in that most august temple of God, which, radiant with divine splendours, is full of the glory of God ; and in very many other biblical types of this kind.
Since the cylinder in these revolvers is firmly attached at the front and rear of the frame, and since the frame is typically full thickness all the way around, fixed cylinder revolvers are inherently strong designs.
Runoff advocates counter that voters first preference is more important than lower preferences because that's where voters are putting the most effort of decision and that, unlike Condorcet methods, runoffs require a high showing among the full field of choices in addition to a strong showing in the final head-to-head competition.
Thus in strong alkali at high pH, it forms the dually charged full urate ion, but at biological pH or in the presence of carbonic acid or carbonate ions, it forms the singly charged hydrogen or acid urate ion as its pKa < sub > 1 </ sub > is lower than the pKa < sub > 1 </ sub > of carbonic acid.
This relatively widespread use of VBScript is not because of many special merits of VBScript-several useful features of the full Visual Basic, such as strong typing, extended error trapping and the ability to pass a variable number of parameters to a subroutine have been removed-but mainly because, apart from being easy to learn, royalties need not be paid to Microsoft by implementers as long as the VBScript trade mark is acknowledged.
If a jet aircraft is at full throttle but is tied to a very strong tree with a very strong chain, then the jet engine produces no propulsive power.
The strong farmer representation in the Second Chamber of the Riksdag maintained a conservative view, but their decline after 1900 gradually ended opposition to full suffrage.
But Broglie was now in full retreat, and the strong places of Bavaria surrendered one after the other to Prince Charles.
: And higher, once, more full and strong,
A warm graceful voice with a bright, full timbre that is strong but not heavy and can be heard over an orchestra.
Pwyll, as Rhiannon had instructed, says to Gwawl that a strong and powerful noble must trample down the food in the sack and say " enough has been put in here " and then it will be full.
The Pulitzer Prize Advisory Board officially announced: " After more than a year of studying the Prize, now in its 61st year, the Pulitzer Prize Board declares its strong desire to consider and honor the full range of distinguished American musical compositions — from the contemporary classical symphony to jazz, opera, choral, musical theater, movie scores and other forms of musical excellence ... Through the years, the Prize has been awarded chiefly to composers of classical music and, quite properly, that has been of large importance to the arts community.
They have also expressed a strong interest in the power of subliminal messaging and their work is full of cryptic messages, including references to numerology and cult figures such as David Koresh of the Branch Davidians, amongst other vague hints.
Pusey House is renowned not only for its liturgy with full solemn ceremonial, but also for its active social character, with a strong student community, both undergraduate and graduate, which complements the religious life of the house in typical Oxford fashion.
In conjunction with the 1963 elections, civil rights leaders organized a statewide " Freedom Ballot ," a mock election that demonstrated both the state-wide pattern of voting rights discrimination and the strong desire of Mississippi blacks for full citizenship.
Keynesians argue this method be used in times of recession or low economic activity as an essential tool for building the framework for strong economic growth and working towards full employment.

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