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Their proof reduced the infinitude of possible maps to 1, 936 reducible configurations ( later reduced to 1, 476 ) which had to be checked one by one by computer and took over a thousand hours.
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Their and proof
Their policy ran counter to the traditional idea that a good fighter was usually a libertine, and that in sex affairs `` God-given passion '' was a proof of manliness.
Their magnum opus, a book claiming a complete and detailed proof ( with a microfiche supplement of over 400 pages ), appeared in 1989 and explained Schmidt's discovery and several further errors found by others.
Their conclusions about the empirical proof of DID were echoed by a second group, who still believed the diagnosis existed, but while the knowledge to date did not justify DID as a separate diagnosis, it also did not disprove its existence.
Their knowledge is free from fallacies and are widely believed as a source of proof.
Their marriage certificate is considered proof of their new name.
proved the local Langlands conjectures for the general linear group GL ( n, K ) for positive characteristic local fields K. Their proof uses a global argument.
Their alcohol content can be between 15 % and 50 % ABV ( 30 – 100 proof ).
Their first meeting, where they discussed Wiener's proof of the ergodic theorem, went so well that Pitts moved to Boston to work with Wiener.
Their first published proof replaced the cobordism theory of the first proof with K-theory, and they used this to give proofs of various generalizations in the papers.
Their victory is cut short by the eruption of the nearby volcano, accelerated by the explosives placed by Ross for her geological surveys, that buries the city, the diamond fields and all proof of the " new " species under 800 meters of lava.
Their weapons were of a poorer quality than those made by Royal Small Arms Factory, Enfield, but accurate down to the proof markings.
Their proof uses the Polynomial Ham Sandwich Theorem.
Their last two records, Infame ( 2003 ), and Anoche ( 2005 ) are proof that they have reached a broader audience.
Their operating characteristics were first discussed in Arrow, Harris and Marschak ( 1951 ), but the proof of optimality was first provided by Scarf.
Their proof is similar to Suzuki's proof.
Their proof: " His writings are filled with allegations against the religion of the country.
Their relationship quickly becomes complicated, however, when Sheridan presents Luis proof that Marty, now aged to seven years, is still alive.
Their fundamental properties, in particular the Artin conjecture described below, have turned out to be resistant to easy proof.
Their and reduced
Their study found that using bicycle seats without protruding noses reduced pressure on the groin by at least 65 % and significantly reduced the number of cases of urogenital paresthesia.
Their number would be reduced from 102 to 68 by 2008.
Their representative at the Peace of Riga talks opted for leaving Minsk, Berdychiv, Kamianets-Podilskyi and the surrounding areas on the Soviet side of the border, not wanting to allow population shifts National Democrats considered politically undesirable, including what would be a reduced proportion of citizens who were ethnically Polish.
Their skulls are highly modified for taking breaths of air at the water's surface and dentition is greatly reduced.
Their attempts, however, were reduced by rebellion against the rules committee and formation of the Intercollegiate Athletic Association.
Their body weight is usually similar to ( or heavier than ) fashion models, but they have a lower body fat percentage owing to increased muscle mass and reduced fat mass.
Their high internal pressure, however, results in the reduced fluidity of their membranes because molecules are squeezed together.
Their range had been largely reduced to small islands of Castle Harbour, but they have re-colonised the mainland, and their numbers are increasing.
Their feet have only three toes and a similarly reduced number of bones and associated foot muscles ; they are the only birds with gastrocnemius muscles in the back of the lower legs.
" Their first strike occurred because they " saw with indignation their friends, who had often served the state bravely in the legions, thrown into chains and reduced to slavery at the demand of patrician creditors.
Their numbers were sharply reduced by European infectious diseases to which they had no immunity, which caused widespread social disruption.
Their outflow is reduced to the small Blue Gum Creek, which flows west into the Little River in the adjacent Nattai National Park to the west.
Their families soon learned of this and reduced the remittances, driving most of the colonists to leave by 1880.
Their cultural influence was also highly reduced due to the repeated barbaric invasions on the Balkans during the early Middle Ages by Goths, Celts, Huns and Sarmatians and later slavicisation.
Their primary operational area was still the North Atlantic, but they continued their support role, although this was reduced with the introduction of the S-61s.
Their masts were cut down, their yards shortened and their sails reduced as they were refitted and re-rigged with the new Howes rig to make them easier to handle by smaller crews.
Their forms and colours are dramatically simplified, with people being reduced to just two or three colours.
Their bill are usually straight ( except for the Wrybill ) and short, their toes are short, hind toe could be reduced or absent, depending on species.
Their numbers were reduced by hunting at the end of the 19th century.
Their numbers were reduced by hunting at the end of the 19th century.
Their eyes are greatly reduced, and covered by a scale.
Their skin and eye color are normal, although some white dogs appear to show reduced pigment on the nose, especially in winter ( snow nose ).
Their and possible
Their study showed that it was possible to transfer 3 to 4 lb of oxygen / hr. / hp.
Their cockpit is sometimes covered by a spraydeck ( or " skirt ") that prevents the entry of water from waves or spray and makes it possible for highly skilled and specially trained kayakers, to roll the kayak: that is, to capsize and right it without it filling with water or ejecting the paddler.
Their theories live or die based on internal consistency and, one hopes, eventual laboratory testing .” Although he believes there's little hope that will ever be possible, he grants that the theories on which the speculation is based, are not without scientific merit.
Their publication made it possible for non-priests to explore the meaning of these legal texts.
Their decisions are based on the participation of each one of its members, and its founding is granted by their members ' payments, a situation that leads them to gain as many adherents as possible.
Their birth rates are lower than in the wild, but this is attributed to zoos ' not wanting to breed as many hippos as possible, since hippos are large and relatively expensive animals to maintain.
Their orders were simply to act against the British whenever possible.
Their tactics were to strike fast and hard causing as much damage to the enemy as possible, and then to withdraw and vanish before enemy reinforcements could arrive.
Their use made possible multiple target selection, greater accuracy and reliability, a reduction in the overall size and weight of the guidance system, and an increase in the survivability of the guidance system in a nuclear environment.
Their function is to deliver a wide cutting edge so as to kill as quickly as possible by cleanly cutting major blood vessels, and cause further trauma on removal.
Their main common points are Asimov's idea of a future Galactic Empire, certain aspects of technology — hyperdrive, blaster pistols, " neuronic whips ," the possible invention of the " Visi-Sonor " — and particular locations, such as the planet Trantor.
Their object was to minimize as far as possible the influence of individual great families, and this was effected by a complex elective machinery.
Their organisation, composition and competence is regulated by law ; delegation is possible ( Subarticle 2 ).
Their fears of a possible uprising led to increased efforts to control radicals and immigrants at home.
Their limited ecological range and the late onset of their sexual maturity combined with this overfishing has led to recent investigations into the need to protect them from possible endangerment or extinction.
Their functions are to make locomotion possible and to protect the major organs of locomotion, digestion, excretion, and reproduction.
Their arrival has traditionally been described as critical in stopping a possible German breakthrough against the Sixth Army.
Their success was made possible by the generosity of Edoardo Almagià, who, as well as giving his permission for the exploration, donated in advance whatever should be discovered underneath the palace and made an ongoing financial contribution to the expenses of the excavation.
Their orientations vary ( though slowly, e. g. due to precession ), and there is an infinity of such coordinate systems possible.
Their analysis showed that the volume of credential theft possible through Warkitting exceeded the estimates of credential theft due to phishing.
Their job is the technical, professional one of compiling one or more indexes that answer the selected question or questions as well as possible, given the resources at their disposal.
Their men never had quite the same level of success as their women, although Zoltán Magyar dominated the pommel horse event during the 1970s, winning 8 ( of a possible 9 ) European, World and Olympic titles from 1973 – 1980.
Their land, called Hyperborea or Hyperboria – " beyond the Boreas " – was perfect, with the sun shining twenty-four hours a day, which to modern ears suggests a possible location within the Arctic Circle.
Their ability to cut up any patrols sent in their direction convinced the British that retreat was not possible.
6.105 seconds.