Thus, the universe would have been even more special before the thermalization than after .” The problem of specific or “ fine-tuned ” initial conditions would not have been solved ; it would have gotten worse.

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.

As in Newtonian mechanics, no system consisting of more than two particles can be solved with an exact analytical mathematical approach ( see 3-body problem ) and helium is no exception.

") appears to be much easier than the problem of actually finding the factors of N. Specifically, the former can be solved in polynomial time ( in the number n of digits of N ) with the AKS primality test.

Meanwhile, in the Soviet Union, Nikolay Basov and Aleksandr Prokhorov were independently working on the quantum oscillator and solved the problem of continuous-output systems by using more than two energy levels.

In 1905, Albert Einstein solved this apparent paradox by describing light as composed of discrete quanta, now called photons, rather than continuous waves.

The most well-known example of this is quantum database search, which can be solved by Grover's algorithm using quadratically fewer queries to the database than are required by classical algorithms.

* Peg solitaire ( more of a puzzle than a game, since, once it is solved, it is repeatable )

Although many manufacturers licensed the design, including Citroën with their M35 and GS Birotor, using engines produced by Comotor, General Motors, which seems to have concluded that the Wankel engine was slightly more expensive to build than an equivalent reciprocating engine, although claiming having solved the fuel economy issue, but failed in obtaining acceptable exhaust emissions, and Mercedes-Benz which used it for their C111 concept car, only Mazda has produced Wankel engines in large numbers.

I do not say it is an easy one ; I do not say that it will be solved in a moment ; but I do say this, that until society is able to offer to the industrious labourer at the end of a long and blameless life something better than the workhouse, society will not have discharged its duties to its poorer members ".

Carboxypeptidase A was a much larger molecule than anything solved previously.

Aspartate carbamoyltransferase was a much larger molecule than anything solved previously.

Crystal structures of proteins ( which are irregular and hundreds of times larger than cholesterol ) began to be solved in the late 1950s, beginning with the structure of sperm whale myoglobin by Max Perutz and Sir John Cowdery Kendrew, for which they were awarded the Nobel Prize in Chemistry in 1962.

MiniDisc solved this problem by reading the data into a memory buffer at a higher speed than was required before being read out to the digital-to-analog converter at the standard rate required by the format.

In 1915 Einstein's theory of relativity, an entirely different approach to understanding gravity than classical mechanics, solved the problem.

It is suspected that L ≠ P ; that is, that some problems that can be solved in polynomial time also require more than logarithmic space.

This has partially been solved by using metals such as tungsten ( with a much higher melting point than steel ), and altering the shape of the projectile ( such as an ogive ).

But the possibility of Internet download without the ability to restrict physical distribution within national boundaries presents legal problems that are usually solved by selling language or translation rights rather than national rights.

By design there are more fingerings than humans have actual fingers, although both of these problems are solved by first fretting the initial string ( fourth on the downstroke ) with the tip of the ring finger, then rolling into the next string by fretting it with the pad of the same finger.

In fact, he was probably about 200 rating points better than anyone else yet alive — set apart by the mysteries of the game he had solved.

The band members have often insisted, however, that the police instigated far more problems than they solved.

Black Flag were reportedly blacklisted by the LAPD and Hollywood rock clubs because of the destructiveness of their fans, though Rollins has claimed that police caused far more problems than they solved.

This undertaking was much more rigorous in textual criticism than the Berlin edition and solved many issues of interpretation raised by Hölderlin's unfinished and undated texts ( sometimes several versions of the same poem with major differences ).

Keith Sterling had looked down on the Brahmaputra more times than he could remember, during the war days when he flew over the Hump of the world, thinking it high adventure in those times before man was guiding himself through outer space.

His thoughts for the swanlike neck, the full, high breasts, the slim waist, and the long legs were less than poetic, however.

Less dazzling than Hamilton, less eloquent than Jefferson, John Jay commands an equally high rank among the Founding Fathers.

Alley fences were made of solid boards higher than one's head, but not so high as the golden glow in a corner or the hollyhocks that grew in a line against them.

A Comedy In Three Acts '', in which, under `` Personages '', Henrietta appeared as `` A Schoolmarm '', and Bertha, who was only a trifle less brilliant in high school than Henrietta had been, appeared as `` Dummkopf ''.

Ramillies And The Union With Scotland has fewer high spots than Blenheim and much less of its dramatic unity.

In plasma generators as currently commercially available for industrial use or as high temperature research tools often more than 50% of the total energy input is being transferred to the cooling medium of the anode.

For if such were the case, either the plane of the two lines would meet **zg in more than K points or, alternatively, the order of the image regulus of the pencil determined by the two lines would be too high.

While high anxiety children achieve significantly less well ( Af ) in the unstructured school than do low anxiety children, they appear to do at least as well as the average in the structured classroom.

In Arkansas fewer than 6 per cent of the high schools offer trade and industrial courses.

No optimism is more baseless than that which believes that the high speed of modern digital computers allows for use of the crudest of methods in searching out a result.

Lieutenant Richardson could envy the officers and men of the John Harvey in their innocent assumption that the ship contained nothing more dangerous than high explosive bombs.

Very early in his administration he informed the Kremlin through diplomatic channels, a high official source disclosed, that the new administration would react even tougher than the Eisenhower administration would during the formative period of the administration.

A century ago, Newman saw that liberalism ( what we now might call secularism ) would gradually but definitely make its mark on English Protestantism, and that even high Anglicanism would someday no longer be a `` serviceable breakwater against doctrinal errors more fundamental than its own ''.

Robbie and Beryl tried their best to persuade her to come and stay with them, and Anne and I have told her she's more than welcome here, but I think she feels that she might be an imposition, especially as long as our Rosie is still in high school.

Thus although most species in the order are herbaceous, some no more than 15 cm high, there are a number of climbers ( e. g. some species of Asparagus ), as well as several genera forming trees ( e. g. Agave, Cordyline, Yucca, Dracaena ), some of which can exceed 10 m in height.

The diversity of animals in the Andes is high, with almost 600 species of mammals ( 13 % endemic ), more than 1, 700 species of birds ( about 1 / 3 endemic ), more than 600 species of reptile ( about 45 % endemic ), and almost 400 species of fish ( about 1 / 3 endemic ).

In a culture that set a high value on oratory and public performances of all kinds, in which the production of books was very labor-intensive, the majority of the population was illiterate, and where those with the leisure to enjoy literary works also had slaves to read for them, written texts were more likely to be seen as scripts for recitation than as vehicles of silent reflection.

( It is probable that, under the classical tutelage of Asser, Alfred utilised the design of Greek and Roman warships, with high sides, designed for fighting rather than for navigation.

We know from Gildas that he was of high birth, and had Roman ancestry ; he was presumably a Romano-Briton, rather than a Roman from elsewhere in the empire, though it is impossible to be sure.

Sycamore figs grow at a low elevation, lower than the Tekoa of Judah, which is at a relatively high elevation of 850 metres ( overlooking both Jerusalem and Bethlehem ).

Among other things, the high achievement in this area of excellence points to consistently strong advising and support, a logical outcome of Barrett ( Arizona State University's honor college ) investing more in honors staff than any other honors program that " Public University Honors reviewed.

Of the capabilities present in the BBC Micro but absent from the Electron, the teletext-style mode 7 was particularly conspicuous because of the very low memory usage in that mode ( just less than 1 kB ) and the high number of BBC programs that used it.