Because of the large number of distinct four-colorings of the ring, this is the primary step requiring computer assistance.

Because the 20S particle's central channel is narrow and gated by the N-terminal tails of the α ring subunits, the substrates must be at least partially unfolded before they enter the core.

Because the Ringworld spins fast enough to provide gravity, once the police station and ship are on the underside, centrifugal force pushes them outward from the ring into open space.

Because the vertical external field B < sub > ext </ sub > is stronger on one side than the other, the leftward force on the left side of the ring is smaller than the rightward force on the right side of the ring, and the net force on the sail is to the right.

Because phloem tubes sit on the outside of the xylem in most plants, a tree or other plant can be effectively killed by stripping away the bark in a ring on the trunk or stem.

Because ARCNET is implemented as a distributed star, the token cannot be passed machine to machine around a ring.

If X is an affine algebraic variety, and if U is an open subset of X, then K < sub > X </ sub >( U ) will be the field of fractions of the ring of regular functions on U. Because X is affine, the ring of regular functions on U will be a localization of the global sections of X, and consequently K < sub > X </ sub > will be the constant sheaf whose value is the fraction field of the global sections of X.

In general, S denotes the set of all polynomial expressions in α with coefficients in S, which is the smallest ring containing α and S. Because α satisfies this quadratic equation, the required polynomials can be limited to degree one.

Because the furnace brazing process creates a small radius at the point where a blade meets with a hub or annular ring, a theoretical decrease in turbulence will occur, resulting in a corresponding increase in efficiency.

Because clean finishes ( as in, submissions or knockouts in the middle of the ring ) were used, so the fans could see clear-cut winners and losers, it was more accepted as " real fighting " than New Japan or All Japan, which at the time were still using the American-originated standard of countouts and disqualifications.

Because of Superman's previous status as a deceased, it allows Nekron's black power ring to transform Kal-EL into an undead Black Lantern under the demon's commands.

Because the tree ring record in Reelfoot Lake and the St. Francis sunklands extend back to A. D. 1682 and A. D. 1321, respectively, Van Arsdale et al.

Because only a select few wavelengths will be at resonance within the loop, the optical ring resonator functions as a filter.

Because the club does not allow guests, Su is forced to enter as a fighter in the club's fighting ring.

Because a ring topology provides only one pathway between any two nodes, ring networks may be disrupted by the failure of a single link.

Because RPR strips the signal once it reaches the destination ( unlike a SONET UPSR / SDH SNCP ring, in which the bandwidth is consumed around the entire ring ) it can reuse the freed space to carry additional traffic.

Because of those circumstances, many experts predicted that this fight would be like the fight between Joe Louis and Rocky Marciano or the one between Larry Holmes and Muhammad Ali: A former great who had been out of the ring for a considerable amount of time taking on an opponent who was, on the other hand, very good, but not to be considered as good as the retired champion ever was, therefore, many predicted Trinidad's doom at the hands of a man like Mayorga, who had won a world title and proven himself against some of the best boxers available while Trinidad was away from boxing.

Because of this, ghost ring sights are commonly installed on combat shotguns and sub-machine guns ( and to a much lesser extent, rifles ).

Because of the " three ring " configuration of the Ringling show, and the bigger arenas that were needed to present such an attraction, audiences were larger and many patrons sat in balconies or upper decks, far above the action.

In the 2010 film Predators, one of the characters is Hanzo, a Yakuza assassin who does not speak much throughout the film, and when asked why, he responds, " Because I talk too much " and showed that he is missing the ring and pinky fingers of his left hand, revealing he had committed yubitsume.

Because God is what He is, the laws of the universe, material and spiritual, are what they are.

Because of these involvements in the matter at stake, Boniface lacked the impartiality that is supposed to be an essential qualification for the position of arbiter, and in retrospect that would seem to be sufficient reason why the English embassies to the Curia proved so fruitless.

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.

Because administration of the forest highway system is a responsibility of the Secretary of Commerce with maintenance provided by the States and counties, this Development Program for the National Forests does not include estimates of the funds needed to maintain the forest highway system nor to construct the additions to it that are needed.

Because the bobbin-to-cone winding process is a relatively high-cost operation for the mill, the almost complete automation provided by the Uniconer can mean important economies in textile production, at the same time upgrading quality.

Because of its importance, and because the lack of price competition is well recognized, the industry is under considerable public pressure not to raise its price any more than could be justified by cost increases.

Because community not severalty of property is the law of nature no man can assert an absolutely unalterable right to what is his.

Because of undesirable flavors, odors, colors, and generally low palatability associated with radiation treatment of this magnitude, the inactivation of enzymes is best accomplished prior to irradiation by the conventional heat-processing methods of blanching.

Because agricultural activities are seasonal and the areas of production and harvest of many foods are widely scattered geographically, and because of the high cost of transporting bulk food items any substantial distance to a central processing location, the use of large central processing stations, where low-cost radiation facilities approaching the megawatt range might be utilized, is inherently impracticable.

Because the rake angle Af at the tip of the knife is very much smaller ( or even negative ) when compared to the value of **yc for the major portion of the knife, a very rapid increase in cutting force with thickness will result.

Because the food is selected with thought for its nutritional value, care for its origin, and prepared in a manner that retains the most nutrients, the food does taste good.

-- Held out of Texas Tech's sweat-suits drill Monday at Lubbock was tackle Richard Stafford, who is undergoing treatment for a leg injury suffered in the Raiders' 38-7 loss to Texas A & M Because of its important game with Arkansas coming up Saturday, Baylor worked out in the rain Monday -- mud or no mud.

Because it is so large a state, with marked contrasts in population density, the organization of the New York co-operative offers a cross-section of how the plan works.

Because of this Dr. Bonnor holds that the universe is becoming more thinly populated by stars and whatever else is there.

Because all living beings possess a soul, great care and awareness is essential in one's actions.

Because anthropology developed from so many different enterprises ( see History of Anthropology ), including but not limited to fossil-hunting, exploring, documentary film-making, paleontology, primatology, antiquity dealings and curatorship, philology, etymology, genetics, regional analysis, ethnology, history, philosophy, and religious studies, it is difficult to characterize the entire field in a brief article, although attempts to write histories of the entire field have been made.

Because most embryonic development is outside the parental body, it is subject to many adaptations due to specific ecological circumstances.

Because experimentation is iterative, the

Because the range of possible values for K < sub > a </ sub > spans many orders of magnitude, a more manageable constant, pK < sub > a </ sub > is more frequently used, where pK < sub > a </ sub >

Because of the seemingly highly symbolic and even cryptic language of this one New Testament passage, some Christian scholars conclude that Mount Armageddon must be an idealized location.

Because there are a lot of such electron pairs in a superconductor, these pairs overlap very strongly and form a highly collective condensate.

Because of this policy, many former players were highly articulate and went on to have successful careers in commentary and broadcasting as well as the arts.

Because of their highly ordered and repetitive structure, crystals give diffraction patterns of sharp Bragg reflection spots, and are ideal for analyzing the structure of solids.

Because dysprosium and its compounds are highly susceptible to magnetization, they are employed in various data storage applications, such as in hard disks.

Because the rugged terrain has made the land difficult to traverse and equally difficult to cultivate, this area has not been highly developed.

Because of the Balkans were rich in raw materials like iron, zinc and above all oil that could help Germany survive a British blockade, it was viewed as highly important by the Allies to keep German influence in the Balkans to a minimum, hence British efforts to link British promises to support Turkey in the event of an Italian attack in exchange for Turkish promises to help defend Romania from a German attack.

Because these spells have ( very ) long casting times ( up to several days ), highly specific and exacting verbal, material and somatic requirements, and can only be cast inside the sorcerer's consecrated temple, these spells are actually more like quasi-religious rituals.

Because of this, it is a good conductor of heat and electricity as well as a highly reactive element, though the least reactive of the alkali metals.

Because observations are subject to uncertainty and weather conditions, and astronomical methods are highly complex, there have been attempts to create fixed arithmetical rules.

Because of the highly reactive nature of potassium metal, it must be handled with great care, with full skin and eye protection and preferably an explosion-resistant barrier between the user and the metal.

Because protein kinases have profound effects on a cell, their activity is highly regulated.

Because of its availability in highly powerful configurations, it was also considered a replacement for the 12-inch PowerBook, ending the nearly 15-year production of PowerBook-branded computers.

Because the ancient Greeks highly valued public political participation, rhetoric emerged as a crucial tool to influence politics.

Because of late industrialization, Russia's workers were highly concentrated.

Because of the very large nature of such roofs, it is essential that the outer skin is of a highly impermeable material.

Because of the structure of the programmes and its unique global status, the University has an academic calendar that enables bringing on board the most highly acclaimed academicians and practitioners from around the world.

Because strong, healthy blacks in their prime working and reproductive years were seen and treated as highly valuable commodities, it was not unusual for free blacks — both freedmen ( former slaves ) and those who had never been slaves — to be kidnapped and sold into slavery.

Because of their highly repetitive, multivalent structure, virus-like particles are typically more immunogenic than subunit vaccines ( described below ).

Because of their limited genetic pool, they are considered highly vulnerable to illnesses like foot-and-mouth disease.

:" Because highly fit schemata of low defining length and low order play such an important role in the action of genetic algorithms, we have already given them a special name: building blocks.

Because fiber optic materials are already highly optimized for low scattering and high transparency alternative ways to change the refractive index were investigated.

Because this would leave certain highly sensitive words exposed, such words would first be concealed by code.

Because he claimed to be more highly educated than the average Sardinian shepherd, some have speculated on no ground that he was a fugitive member of the Carbonari, an exiled French aristocrat, or even the Lost Dauphin.

Because countries like Gabon and Nigeria account for as much as 15 % of US crude oil imports, US companies are believed to regard the area as highly prospective.