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, after a rhetorical analyst discovers a use of language that is particularly important in achieving persuasion, she typically moves onto the question of " How does it work?

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, 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 it is not entirely correct to regard it as an ' accelerated ' degree.

Therefore, what we must prove or disprove is that there were Saxons, in the broad sense in which we must construe the word, in the area of the Saxon Shore at the time it was called the Saxon Shore.

Therefore, he decided he was unfair to the young man and should make an effort to understand and sympathize with his point of view.

Therefore, his only recourse was to learn the shape all over again for each new visual experience of the same individual object or type of object ; ;

Therefore, pure antimony is not used to make hard objects: coins made of antimony were issued in China's Guizhou province in 1931, but because of their rapid wear, their minting was discontinued.

Therefore, all primordial americium ( americium that was present on Earth during its formation ) should have decayed by now.

Therefore it was a major landmark when in 1865 Johann Josef Loschmidt measured the size of the molecules that make up air.

Therefore only the one who was in the temple can be worshipped.

Therefore, Agesilaus was trained in the traditional curriculum of Sparta, the agoge.

Therefore wonders ( Greek dynameis ) were not wrought in him until the Spirit ( which Theodotus called Christ ) came down and was manifested in Him.

Therefore designers were needed and so was a new type of art education.

Therefore, unbeknown to the French who remained oblivious to the Allies ’ real strength and intentions on the opposite side of the Petite Gheete, Marlborough was throwing his full weight against Ramillies and the open plain to the south.

Therefore, it is Decius ' bad conduct which was responsible for the disastrous turn of the events.

" Therefore I should infer from analogy that probably all the organic beings which have ever lived on this earth have descended from some one primordial form, into which life was first breathed.

Therefore, by the end of the decade, some Cubans were inspired by the successes of Simón Bolívar, despite the fact that the Spanish Constitution was restored in 1820.

Therefore, most Chicanos do not agree that " Chicano " was ever derived from the word " chicamo ".

Therefore, the necessity of the sperm nucleus for fertilization was discussed for quite some time.

Therefore, the only motivation for labour was either the possibility of great reward or fear of hunger.

Therefore a comprehensive study was conducted and finally a floor height of 3. 6 m ( 11. 8 ft ) was adopted.

Therefore, while God's authority was absolute, God was also authoritative over the laws of nature which were God's " other book.

Therefore, the metric equivalent of 1 siliqua was approximately 189 mg.

Therefore, he was buried in the Delft Nieuwe Kerk ( New Church ), starting a tradition for the House of Orange that has continued to the present day.

Therefore, thought Rummel, it was not an intentional famine and thus not a democide.