Because of the height-balancing of the tree, a lookup takes O ( log n ) time.

Because of this property, the collapsed stars were called " frozen stars ," because an outside observer would see the surface of the star frozen in time at the instant where its collapse takes it inside the Schwarzschild radius.

Because the process takes advantage of the nonlinearity of the isotherms, a larger column feed can be separated on a given column with the purified components recovered at significantly higher concentrations.

Because cylinder bore diameter, piston stroke length and combustion chamber volume are almost always constant, the compression ratio for a given engine is almost always constant, until engine wear takes its toll.

Because transpiration takes place during the cooler, more humid night hours, water loss is significantly reduced.

Because chemical diffusion is a net transport process, the system in which it takes place is not an equilibrium system ( i. e. it is not at rest yet ).

In 1551 the Council of Trent definitively declared: " Because Christ our Redeemer said that it was truly his body that he was offering under the species of bread 6: 51, it has always been the conviction of the Church of God, and this holy Council now declares again, that by the consecration of the bread and wine there takes place a change of the whole substance of the bread into the substance of the body of Christ our Lord and of the whole substance of the wine into the substance of his blood.

Because the fortification takes place after fermentation, most sherries are initially dry, with any sweetness being added later.

Because a pinfall only requires a three-count from the referee, as opposed to a ten-count from a boxing referee to score a technical knockout, this rule gave birth to the saying " It only takes three seconds to beat your opponent.

Because this revolution takes place in underdeveloped, largely pre-capitalist countries such as Russia, Leninism establishes a single-party, authoritarian state, justifying single-party control over the state and economy as a means to safeguard the revolution against counter-revolutionary insurrection and foreign invasion.

Because of a long history of neutrality, the army does not take part in armed conflicts in other countries, but takes part in peacekeeping missions around the world.

Because this interaction takes place on atomic electrons it occurs with the same rate in both the heavy and light water.

Because a second of film constitutes 24 separate frames, even a short half-hour film like A Close Shave takes a great deal of time to animate well.

Because it takes so long to ingest a prey item, hunting mainly happens around dusk ; the onychophorans will abandon their prey at sunrise.

Because the spectrum from Planck's law of black body radiation takes a different shape in the frequency domain from that of the wavelength domain, the frequency location of the peak emission does not correspond to the peak wavelength using the simple relationship between frequency, wavelength, and the speed of light.

Because of its large number of tiny granule cells, the cerebellum contains more neurons than the rest of the brain put together, but it takes up only 10 % of total brain volume.

" Because Christian themes play such a large role in Uncle Tom's Cabin — and because of Stowe's frequent use of direct authorial interjections on religion and faith — the novel often takes the " form of a sermon.

In the presence of the static, uniform external magnetic field, the Hamiltonian for the absorbing center takes the form Ĥ = Ĥ < sub > 0 </ sup > + Ĥ < sub > 1 </ sup > which is parallel to the direction of the propagation of the electric field k. Because the transition occur between the two eigenstates of Ĥ < sub > 0 </ sub >, a and j, the absorption and the CD intensity are determined as follows:

Because of the land taken for the bogs, however, growth is limited, giving the town a rural flavor it takes pride in.

Because of its large size, a plantation takes advantage of economies of scale.

Because it usually takes decades for a unattended resentful corpse to become a jiangshi, they are usually depicted wearing attire identified with the previous dynasty.

Because the induction takes place during the course of a normal conversation, Ericksonian hypnosis is often known as Covert or Conversational Hypnosis.

Because the fortification takes place after fermentation, most Sherries are initially dry, with any sweetness being added later.

Because of the multiple angles and takes required for a single mouthful of food, Meyer offered a bounty of $ 20 per every shot of a character eating.

Because of the roughly eleven-day difference between twelve lunar months and one solar year, the length of the Hebrew calendar year varies in the repeating 19-year Metonic cycle of 235 lunar months, with the intercalary month added according to defined rules every two or three years, for a total of 7 times per 19 years.

Because mesons are composed of sub-particles, they have a physical size, with a radius roughly one femtometre, which is about the size of a proton or neutron.

Because the stars in an open cluster are all at roughly the same distance from Earth, and were born at roughly the same time from the same raw material, the differences in apparent brightness among cluster members is due only to their mass.

Because Ptolemy derived many of his key latitudes from crude longest day values, his latitudes are erroneous on average by roughly a degree ( 2 degrees for Byzantium, 4 degrees for Carthage ), though capable ancient astronomers knew their latitudes to more like a minute.

Because the stars were all born at roughly the same time, the different properties of all the stars in a cluster are a function only of mass, and so stellar evolution theories rely on observations of open and globular clusters.

Because of inadequate design, roughly 25 – 40 % of the incoming fish get blocked by the dam each year.

Because of their low altitude, these satellites are only visible from within a radius of roughly 1000 kilometers from the sub-satellite point.

Because the exact moments of this separation and the partially contemporaneous Pan-African orogeny are hard to correlate, it might be that all continental mass was again joined in one supercontinent between roughly 600 and 550 million years ago.

Because it is shaped roughly like a diamond or rhombus with its point matching the cardinal points of the compass, it's boundary lines are roughly oriented along the ordinal or intercardinal directions.

Because two genes that are close together are less likely to become separated than genes that are farther apart, geneticists can deduce roughly how far apart two genes are on a chromosome if they know the frequency of the crossovers.

Because it is over a month longer than a calendar year, the path of each eclipse one exeligmos apart is roughly 600 miles away from the previous one.

Because the original Dead End Kids were now working for several studios, their Universal films were made at roughly the same time as the Warner Brothers ' ' Dead End Kids ' series, and later, Monogram Picture's " The East Side Kids " series.

Because the energy was roughly the same, the wounds caused by the expanding bullet of the. 303 were less severe than the those caused by the larger caliber, solid lead bullet used by the Martini-Henry.

Because Big Sur is contained roughly within this Zip Code Tabulation Area, it is possible to obtain Census data from the United States 2000 Census for the area even though data for " Big Sur " is unavailable.

Because of prevailing currents and winds, the fastest route west across the Atlantic to the New World from Africa brought sailing ships to a point that was halfway south on the Lesser Antilles chain of islands, roughly between the islands of Dominica and Martinique or nearby.

Because of its position roughly halfway between the major cities of Los Angeles and San Francisco, San Luis Obispo is home to America's first motel.

Because Nashville Municipal Auditorium and Vanderbilt's Memorial Gym, the only other sizable indoor venues in Nashville, are unsuitable for arena football ( Municipal Auditorium's floor was too small to contain the field of play as its ice hockey rink had always been of less-than-regulation size and Vanderbilt had a " dry " policy for on-campus athletic events ), Adams explored the idea of building his own mid-size arena ( roughly 10, 000 seats ) to host the Kats and compete with the a | Gaylord Entertainment Center for concerts and smaller sporting events.

Because the Earth is nearly spherical ( see Earth radius ) equations for great-circle distance can be used to roughly calculate the shortest distance between points on the surface of the Earth ( as the crow flies ), and so have applications in navigation.

Because a protein's length ( when unfolded ) is roughly proportional to its mass, this is equivalent to saying that it attaches a number of SDS molecules roughly proportional to the protein's mass.

Because of his ability and bravery he received many offers to change services, and in 1682 became a Feldmarschallleutnant ( roughly the equivalent of a two-star general ) in the Saxon army.

Because it is a great deal closer to the Sun than was expected for an Oort cloud object, and has an inclination roughly in line with the planets and the Kuiper belt, they described the planetoid as being an " inner Oort cloud object ", situated in the disc reaching from the Kuiper belt to the spherical part of the cloud.