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 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 it takes roughly 20 years for seedlings to reach sexual maturity, repeated fires in the same area can cause local extinctions.

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 Bright's speeches were so much a part of him, there are long and numerous quotations, which, far from making the biography diffuse, help to give us the feel of the man.

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 the body contains so much liquid, transmission of ultrasonic signals proceeds fairly well in muscles and blood vessels.

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 I liked this sad person so much, I said, `` Will you have a drink with me ''??

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 the urn itself is so delicate, it has been allowed to travel to Australia only twice.

Because of her beauty, other gods feared that jealousy would interrupt the peace among them and lead to war, and so Zeus married her to Hephaestus, who was not viewed as a threat.

Because of their relatively large mass, + 2 electric charge and relatively low velocity, alpha particles are very likely to interact with other atoms and lose their energy, so their forward motion is effectively stopped within a few centimeters of air.

Because the original designer had left the company another employee completely redesigned most of the system, ( adding a display snow remover circuit, true 80 / 64 column text mode support, ( with different size letters for TRS-80 and CP / M mode, so that in TRS-80 mode the full screen was also used, not just a 64x16 portion of the 80x25 screen ) with an improved font set ( adding " gray scale " version of the TRS-80 mozaik graphics and many special PETSCII like characters ), and a more flexible and reliable floppy disk controller and keyboard interface plus many other small improvements ), also an enclosure was developed for the main computer system, ( in the form of a 19-inch rack for the Eurocards ) and for two floppy disk drives and the power supply.

Because of this risk, patients prescribed clozapine may need to have regular blood checks to catch the condition early if it does occur, so the patient is in no danger.

According to Capp, who loved to relate the story, Kelly's two perfectly logical reasons for doing so were: a. to cement diplomatic relations between Argentina and the United States, and b. " Because you can't play the piano, anyway!

Because of the split in the Conservative Party and because of Disraeli's unpopularity, arising from the budget fight of 1852, which is outlined above, no Conservative reconciliation remained possible so long as Disraeli remained leader in the House of Commons.

Because badminton players have to cover a short distance as quickly as possible, the purpose of many advanced strokes is to deceive the opponent, so that either he is tricked into believing that a different stroke is being played, or he is forced to delay his movement until he actually sees the shuttle's direction.

Because this range of non-zero amplitude may be very broad or infinite, this definition is typically relaxed so that the bandwidth is defined as the range of frequencies in which the signal's spectral density is above a certain threshold relative to its maximum.

Because the base is deeply affixed to the chest, the weight of the breast is distributed over a greater area, and so reduces the weight-bearing strain upon the chest, shoulder, and back muscles that bear the weight of the bust.

Because the impactor is moving so rapidly, the rear of the object moves a significant distance during the short-but-finite time taken for the deceleration to propagate across the impactor.

Because the rhyme comes so quickly in rhyming couplets, it tends to call attention to itself.

Because of vowel harmony, all vowels in a word are affected, so the scope of the diacritic is the entire word.

Because the margin of victory was so close a third election in the summer of 1840 was held.

Because DOM supports navigation in any direction ( e. g., parent and previous sibling ) and allows for arbitrary modifications, an implementation must at least buffer the document that has been read so far ( or some parsed form of it ).

Because an unamplified upright bass is generally the quietest instrument in a jazz band, many players of the 1920s and 1930s used the slap style, slapping and pulling the strings so that they make a rhythmic " slap " sound against the fingerboard.

Because endocrinology encompasses so many conditions and diseases, there are many organizations that provide education to patients and the public.

Because the bacterium had so much energy, it probably leaked some of it as Adenosine triphosphate into the cell's cytoplasm.

Because the motion is so small, however, this method has not yet been very productive.