Because the projected horizontal motion in the rotating frame is a circular motion, the ball's motion requires an inward centripetal force, provided in this case by a fictitious force that produces the apparent spiral motion.

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 quasars are extremely distant, bright, and small in apparent size, they are useful reference points in establishing a measurement grid on the sky.

Because of difficulties in human lookahead — peculiar to Reversi because of the apparent strategic meaninglessness of internal disks ( making blindfold games — if not virtually impossible without enormous dedication — more difficult than is the case in, say, chess ) and the attractiveness of the game to programmers — the best Othello computer programs have easily defeated the best humans since 1980, when the program The Moor beat the reigning world champion.

Because traits held to be due to sexual selection often conflict with the survival fitness of the individual, the question then arises as to why, in nature, in which survival of the fittest is considered the rule of thumb, such apparent liabilities are allowed to persist.

Because the Earth's orbit around the sun is elliptical, and because of the obliquity of the Earth's axis relative to the plane of the orbit ( the ecliptic ), the apparent solar day varies a few dozen seconds above or below the mean value of 24 hours.

Because of the deep penetration, more layers of material must lose their color before the fading is apparent.

Because its apparent viscosity increases directly with respect to the amount of force applied, Silly Putty can be characterized as a dilatant fluid.

Because the relevance of the comparison may not be readily apparent to the reader, The Bluebook strongly recommends adding a parenthetical explanation after each authority.

Because of its aging population and apparent lack of enthusiasm for others to be involved in operation of the local government, in 2004 the village board of Panola attempted to unincorporate the town.

Because of his use of magic, Harry's fate is to be determined at a discipliniary hearing at the Ministry of Magic, which turns out to be an apparent show trial.

Because different lenses generally require a different camera – subject distance to preserve the size of a subject, changing the angle of view can indirectly distort perspective, changing the apparent relative size of the subject and foreground.

Because different lenses generally require a different camera – subject distance to preserve the size of a subject, changing the angle of view can indirectly distort perspective, changing the apparent relative size of the subject and foreground.

Because of these apparent connections with the prime numbers, some mathematicians have suggested that these properties may be found in a larger class of sets of numbers generated by sieves of a certain unknown form, although there is little theoretical basis for this conjecture.

This bending happens because each layer of the ionosphere has a refractive index that varies from that of the others. Because of the differing heights of refraction, or apparent reflection, the radio waves hit the earth surface at different points hence generating the skip distance.

Because the two men got to see each other on a much more regular basis the differences in character became apparent: Mondrian was an introvert, while van Doesburg was more flamboyant and extravagant.

Because freight and passengers had to change cars several times along the route and canals froze during the winter, it soon became apparent that the system was cumbersome and a better way was needed.

Because the Earth's surface is curved, the true horizon ( the line dividing the ground and the sky ) is lower than this apparent horizon.

Because different lenses generally require a different camera – subject distance to preserve the size of a subject, changing the angle of view can indirectly distort perspective, changing the apparent relative size of the subject and background.

Because any detector ( eye, film, digital ) used to observe the diffraction pattern can have an intensity threshold for detection, the full diffraction pattern may not be apparent.

Because string theory implies that the Universe has more dimensions than we expect — 26 for bosonic string theories and 10 for superstring theories — we have to find a reason why the extra dimensions are not apparent.

Because the papers appeared to supply information about famous historical figures and to fill gaps in existing historical knowledge, they were received enthusiastically despite some apparent contradictions.

Because of lingzhi's presumed health value and apparent absence of side-effects, it has attained a reputation in the East as the ultimate herbal substance.

Because of a slow train and the decision of the driver to stop for no apparent reason while en route, French, though having left Sligo in the early morning, arrived so late for an 8 PM recital, which he was due to give, that the audience had left.

Because of his introspective self-loathing of Melnibonéan traditions, his subjects find him odd and unfathomable, and his cousin Yyrkoon ( next in the line of succession, as Elric has no heirs ) interprets his behavior as weakness and plots Elric's death.

Because the United States had mostly disbanded its military after the Revolution, it had few professional soldiers to send into battle, a weakness which Little Turtle and other native leaders fully exploited.

Because of the weakness of the evidence and the potential for serious side effects from some drug therapies, the UK National Institute for Health and Clinical Excellence ( NICE ) 2009 clinical guideline for the treatment and management of BPD recommends: " Drug treatment should not be used specifically for borderline personality disorder or for the individual symptoms or behaviour associated with the disorder " but " drug treatment may be considered in the overall treatment of comorbid conditions ," and suggests " review of the treatment of people with borderline personality disorder who do not have a diagnosed comorbid mental or physical illness and who are currently being prescribed drugs, with the aim of reducing and stopping unnecessary drug treatment.

Because polio survivors have already lost a considerable number of motor neurons, further age-related loss of neurons may contribute substantially to new muscle weakness.

Because the weakness can affect heart muscles, it is recommended that a doctor is aware of any heart related symptoms so a cardiac pacemaker or defibrillator can be administered to reduce the risk of sudden death due to an abnormal heart rhythm caused from the disease.

Because of this weakness most warriors wore a mail shirt ( haubergeon or hauberk ) beneath their plate armour ( or coat-of-plates ).

Because PA may affect the spinal cord, symptoms may also include impaired urination, loss of sensation in the feet, unsteady gait, weakness, and clumsiness.

Because of Chinese weakness, the Ussuri River was demarcated in non-standard manner: the demarcation line was on the right ( Chinese ) side of the river, putting the river with all islands in Russian possession.

Because Abdul-Jabbar's character has great size and strength in addition to a fighting style as potent as Lee's, he can only be defeated once Hai recognizes that an unusually high sensitivity to light is his greatest weakness.

Because of this weakness, the sixth house has also been connected with servitude and slavery, and it is for this reason, perhaps, that it has become associated with the most routine and arduous of work, and the sense of the workplace as an obligation to which people must report every day to do the work of others.

Because there are essentially no motor neurons in the lower limbs of horses, the risk of weakness or ataxia is negligible.

" Because the Democratic Party was splintered into bitter factions, Polk promised to serve only one term if elected, hoping that his disappointed rival Democrats would unite behind him with the knowledge that another candidate would be chosen in four years.

Because the two round system excludes more than one candidate after the first round, it is possible for a candidate to be eliminated who would have gone on to win the election under EB.

Because of LaFollette's nervous breakdown on the campaign trail before Roosevelt's entry, most of LaFollette's supporters went over to Roosevelt, the new progressive Republican candidate.

Because there are several candidates to throne ; Talopien ( Late khagan's candidate ), Ishbara ( Kurultay's choice ) and Tardu ( the western yabgu ).

Because President Lyndon B. Johnson had announced he would not seek reelection, the purpose of the convention was to select a new presidential nominee to run as the Democratic Party ’ s candidate for the office.

Because of the unusually large number of candidates receiving electoral votes, no candidate secured a majority and the tie between the two front runners, Andrew Jackson and John Quincy Adams, was broken in the House of Representatives.

Because he still hoped to be a candidate, Stevenson refused to give the nominating address for relative newcomer John F. Kennedy, which strained relations between the two men.

Because it was the death of a losing candidate, there was no pressure to agree on a replacement candidate.

Because of the presence of rare bats, it is also on a Site of Special Scientific Interest ( SSSI ) and a candidate for Special Area of Conservation ( SAC ) European Union protective status.

Because Lynch was elected as somewhat of a " compromise candidate " it appeared to many that he would only remain as an interim Taoiseach.

Because of this, she stood as a candidate in the Strathkelvin and Bearsden Holyrood by-election of 2001.

Because of Waldeck Rochet's ill health, Jacques Duclos was the candidate at the 1969 presidential election.

Because of the high esteem in which he is held by Germany's political establishment and in the population, Weizsäcker is so far the only candidate to have stood for elections for the office of President uncontested ; he was elected in such a way to a second term of office on 23 May 1989.

Because Rahudman wanted to be a candidate in the 2010 mayor election, he resigned as mayor.

Because of this, an African-American candidate cannot rely on the black vote alone to be elected to the Senate.

Because the Nicaraguan constitution forbids consecutive presidential terms, it is believed that Alemán sought a candidate who could be easily manipulated, allowing him to govern from behind the scenes until the 2006 elections, when he would seek re-election.

Because Missouri election law would not allow for Carnahan's name to be removed from the November 7, 2000, ballot, Jean Carnahan, his widow, unofficially became the Democratic candidate.

Because of his contributions to Cañon City, Fremont County, and the State of Colorado at large, he became widely known in state politics and was an active member of the Colorado Republican Party ; in 1902, he was the Republican candidate for Governor of Colorado.

Because of its importance in Chinese culture, the Red-crowned Crane was selected by the National Forestry Bureau of the People's Republic of China as a candidate for the title of national animal of China.

Because the Republicans did not field any candidate on the primary ballot, Welch won enough write-in votes to win the Republican nomination.

Because of the nature of its traffic with a very large number of commuter journeys over relatively short distances, the railway was an obvious candidate for electrification, and sought powers to adapt its suburban lines in 1903.

Because neither candidate won 50 % of the vote, Douglas was officially selected by the legislature as required by the state constitution.