Therefore, after combining like terms, the coefficient of x < sup > n − 2 </ sup > y < sup > 2 </ sup > will be equal to the number of ways to choose exactly 2 elements from an n-element set.

Therefore they were not atoms, but a new particle, the first subatomic particle to be discovered, which he originally called " corpuscle " but was later named electron, after particles postulated by George Johnstone Stoney in 1874.

Therefore, evidence of when human skin darkened has been used to date the loss of human body hair, assuming that the dark skin was needed after the fur was gone.

" Therefore, being always free from original sin, the doctrine teaches that from her conception Mary received the sanctifying grace that would normally come with baptism after birth.

Therefore, after integration, extensions can be seen as part of the browser itself, tailored from a set of optional modules.

Therefore, after a failed agreement with Charles of Anjou, he invested that kingdom to Edmund, the nine-year-old son of King Henry III of England, on 14 May 1254.

It is the business of the pope to look after the interests of the Roman empire, since the empire derives its origin and its final authority from the papacy ; its origin, because it was originally transferred from Greece by and for the sake of the papacy ... its final authority, because the emperor is raised to his position by the pope who blesses him, crowns him and invests him with the empire .... Therefore, since three persons have lately been elected king by different parties, namely the youth son of Henry VI, Philip Hohenstaufen, brother of Henry VI, and Otto Brunswick, of the Welf family, so also three things must be taken into account in regard to each one, namely: the legality, the suitability and the expediency of his election ...... Far be it from us that we should defer to man rather than to God, or that we should fear the countenance of the powerful .... On the foregoing grounds, then, we decide that the youth should not at present be given the empire ; we utterly reject Philip for his manifest unfitness and we order his usurpation to be resisted by all .... since Otto is not only himself devoted to the church, but comes from devout ancestors on both sides ..... therefore we decree that he ought to be accepted and supported as king, and ought to be given the crown of empire, after the rights of the Roman church have been secured.

Therefore, even after Athens had fallen to the Persians, and the Persian navy had arrived off the coast of Salamis, the Allied navy remained in the Straits.

Therefore, in most software development situations it is considered good coding practice that when a bug is located and fixed, a test that exposes the bug is recorded and regularly retested after subsequent changes to the program.

Therefore, these people that migrated to the coast of the Black sea received an identification as the " Goth " ( or the " God ") people after receiving the influence of the Gospel coming out of Jerusalem and Antioch, Syria.

Therefore, travelers returning from endemic areas are unlikely to have dengue if fever or other symptoms start more than 14 days after arriving home.

Therefore, it is useful to check the carry flag after adding or subtracting numbers that are interpreted as unsigned values.

Therefore, it is useful to check the overflow flag after adding or subtracting numbers that are represented in two's complement form ( i. e. they are considered signed numbers ).

Therefore, four-year-old Francis ( who was already Count of Angoulême after the death of his own father two years prior ) became the heir presumptive to the throne of France and was vested with the title of Duke of Valois.

Therefore, most individuals are diagnosed after symptoms ( e. g. sinopulmonary disease and GI manifestations ) prompt an evaluation for cystic fibrosis.

Therefore, these short-haul airliners are usually equipped with lavatories, stand up cabins, pressurization, overhead storage bins, reclining seats, and have a flight attendant to look after the in-flight needs of the passengers during point-to-point or routes.

Therefore, most regional airliners are equipped with lavatories and have a flight attendant to look after the in-flight needs of the passengers, along with the features of a short haul regional airliner.

Therefore, the concept of " life after death ," in the Jewish view, is not encouraged as the sole motivating factor in performance of Judaism.

Therefore, viability after accelerated ageing was lower in small seeds than large seeds.

Therefore, the state vector remains in the plane spanned by and after each application of the operators and, and it is straightforward to check that the operator of each Grover iteration step rotates the state vector by an angle of.

Therefore the normal mode of operation when invoking < tt > umssync </ tt > after switching from Windows to Linux ( which is usually done by running the tool at Linux boot time from a startup script ) is to employ the < tt >- c </ tt > option to the command, which prevents the creation of any new < tt >-- LINUX -.---</ tt > files in directories that do not already possess them.

Therefore, to evaluate the real value of an amount of money today after a given period of time, economic agents compound the amount of money at a given ( interest ) rate.

Therefore, even though the relative geometry of the Earth-Sun-Moon system will be nearly identical after a saros, the Moon will be in a different position with respect to the stars.

Therefore, through social constructs, one can shape rhetorical works, and in turn, the works can shape the social context: " we create our contexts as we create our texts " ( Bawarshi 70 ).

Therefore, one of the more important functions of rhetorical studies is establishing an artifact as rhetorical to begin with.

Therefore we always called it an illness, or a malady — a far safer term for us to use.

Therefore, the use of biopolymers would create a sustainable industry.

) Therefore, in order to use the additional capacity, these discs have to be burned using " overburn " options in the CD recording software.

Therefore, discs with capacities larger than 650 MB, and especially those larger than 700 MB, are less interchangeable among players / drives than standard discs and are not very suitable for archival use, as their readability on future equipment, or even on the same equipment at a future time, is not assured, even under the assumption that the discs will not degrade at all.

Therefore, compound crossbows generally use only pulleys that are both round and concentrically mounted, in order to capture the maximum available energy from the relatively short draw length.

Therefore, it is clear there is no real consensus of what the term crannog actually implies, although the modern adoption in the English language broadly refers to a partially or completely artificial islet which saw use from the prehistoric to the Post-Medieval period in Ireland and Scotland.

Therefore, obtaining information about the spatial arrangement of atoms requires the use of radiation with shorter wavelengths, such as X-ray or neutron beams.

Therefore, although not all languages have been investigated on this point, phoneticians have recently come to use the term lingual ( made with the tongue ) as being more accurate for this airstream mechanism than velaric ( made at the velum ).

Therefore it was a primary mission of the Deep Space 1 demonstration to show long duration use of an ion thruster on a science mission.

Therefore, it seems important to make the rules and focus of a discussion forum public to avoid misconceptions about its accepted use.

Therefore, to calculate net forces on bodies ( such as wings ) we should use viscous flow equations.

Therefore, the optimal mutation rate for a species is a trade-off between costs of a high mutation rate, such as deleterious mutations, and the metabolic costs of maintaining systems to reduce the mutation rate, such as DNA repair enzymes .< ref name = Sniegowski > Viruses that use RNA as their genetic material have rapid mutation rates, which can be an advantage since these viruses will evolve constantly and rapidly, and thus evade the defensive responses of e. g. the human immune system.

Therefore, supporters of gun rights generally consider the use of the phrase " assault weapon " to be pejorative when used to describe these civilian firearms, and this term is seldom used outside of the United States in this context.

Therefore, while it was traditional to say that leaders should have virtues, especially prudence, Machiavelli's use of the words virtù and prudenza was unusual for his time, implying a spirited and immodest ambition.

Therefore, the effects of a neurotransmitter system depend on the connections of the neurons that use the transmitter, and the chemical properties of the receptors that the transmitter binds to.

Therefore, the British tried to encourage Chinese opium use to enhance their balance, and they delivered it from Indian provinces under British control.

Therefore, use should be discontinued gradually rather than abruptly.

Therefore, Polybius's The Histories is also useful in analyzing the different Hellenistic versions of history and of use as a credible illustration of actual events during the Hellenistic period.

Therefore, it is contradictory to try to use violence to obtain peace.

Therefore, it is helpful to use different words to describe states having uncertain values and states having definite values ( eigenstates ).

Therefore, male birds commonly use the following methods to try to seduce the females:

Therefore such a stream would only use 300 kbit / s of serving bandwidth.

Therefore, the use of mollusks was abandoned from the definition and the epochs were renamed and redefined.

Therefore historians believe that Viking warriors did not use horned helmets, but whether or not such helmets were used in Scandinavian culture for other, ritual purposes remains unproven.