Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.

Thus the films seen as they came in ( coordinated for the regular sections ), were often out of context.

Thus twenty `` black souls '' were to remain ignorant of their imminent journey to the land of free men.

Thus such great American documentaries as The River and The Plow That Broke The Plains were composed as visual stories rather than as illustrated lectures.

Thus all differences were leveled, and all contrasts erased, in a realm of no distinction, and the harmonious balance of the Lo Shu square could effectively symbolize the world in balanced harmony around a powerful central axis.

Thus #, $ and % were placed to correspond to 3, 4, and 5 in the adjacent column.

Thus the only member churches of the present Anglican Communion existing by the mid-18th century were the Church of England, its closely linked sister church, the Church of Ireland ( which also separated from Roman Catholicism under Henry VIII ) and the Scottish Episcopal Church which for parts of the 17th and 18th centuries was partially underground ( it was suspected of Jacobite sympathies ).

Thus, before the modern assembly line took shape, there were prototypical forms in various industries, as outlined below.

Thus Myspace and YouTube were not liable for a dyslexic man's inability to navigate the site regardless of how impressive the " online theater " is.

Thus we were spared the affliction of his absence and the triumph of suffering for his principles.

Thus we have the story of his riding across a stick ( horse made of stick ) with his children and upon being discovered by a friend desiring that he not mention till he himself were the father of children ; and because of the affection of his son Archidamus ' for Cleonymus, he saved Sphodrias, Cleonymus ' father, from execution for his incursion into the Piraeus, and dishonorable retreat, in 378 BC.

Thus for example two separate quotes by Athenaeus were united by Theodor Bergk to form fr. 362.

Thus, if every historian were to claim that there was a solar eclipse in the year 1600, then though we might at first naively regard that as in violation of natural laws, we'd come to accept it as a fact.

Thus while Persian-speakers were concentrated on the lower rungs of the work force, managers tended to be brought in from some distance.

Thus, on January 16, 1997, the Diamondbacks were officially voted into the National League while their expansion counterparts in Tampa Bay were voted into the American League.

Thus a third style, the " curved lip " style was produced, and all official and third-party cartridges during the console's lifespan were released ( or re-released ) using this style.

Thus, many users of a given BBS usually lived in the same area, and activities such as BBS Meets or Get Togethers were common, where users of the board would gather at a local restaurant, the SysOp ’ s home or similar venue and meet face to face.

Thus the discovery report by the Berkeley group reads: " It is suggested that element 97 be given the name berkelium ( symbol Bk ) after the city of Berkeley in a manner similar to that used in naming its chemical homologue terbium ( atomic number 65 ) whose name was derived from the town of Ytterby, Sweden, where the rare earth minerals were first found.

" Thus the farmers were placed in a disadvantageous economic position.

Thus, dark blue jerseys, were introduced with white shorts and the red socks of 1908.

Thus, if the score was 3 – 2 with the bases loaded in the bottom of the ninth, and the batter smacked an " over the fence home run ", the game would end at 4 – 3, with the batter only allowed a double, and the runners officially stopped on 2nd and 3rd ( since they were not needed to win the game ).

Thus in 1880 and 1882, Benedictine teaching monks were effectively exiled ; this was not completed until 1901.

Thus, in 250-1, the Bastarnae were probably involved in the Gothic and Sarmatian invasions which culminated in the Roman defeat at the Battle of Abrittus and the slaying of the emperor Decius ( 251 ).

Thus parliamentary constituencies were derived from the ancient boroughs.

Thus, when the fluid finally does strike the object, it is forced to change its properties -- temperature, density, pressure, and Mach number -- in an extremely violent and irreversible fashion called a shock wave.

Thus the pagan curse was finally dissolved by the arrival of Christianity.

Thus the initial input change circulates along the feedback loop and grows in an avalanche-like manner until finally Q1 switches off and Q2 switches on.

Thus, by the end of the 1st century AD Latin had finally displaced the original Venetic language.

Thus, when the hostilities finally ceased in 1648 with the Treaty of Westphalia, most of Alsace went to France with some towns remaining independent.

Thus Palpatine's New Order was finally brought to an end after 157 years of imperialism which opposed to his 10, 000 year rule that he had promised at its formation.

Thus, all who are truly born again are kept by God the Father for Jesus Christ, and can neither totally nor finally fall from the state of grace, but will persevere in their faith to the end, and be eternally saved.

Thus he lost two crucial days before finally adopting the solution, however obvious, of his predecessor.

Thus, at the end of this phase and at the beginning of the next they are finally in a position to go up against their primary goal.

Thus, Oedipus finally realized in great agony that so many years ago, at the place where the three roads met, he had killed his own father, King Laius, and subsequently married his mother, Jocasta.

Thus, by the end of 1815, the Moselle department had finally the limits that it would keep until 1871.

Thus, the leaders of the big railroads finally learned the source of William Nelson Page's deep pockets.

Thus finally the theme throughout the palace of honouring the Duke reached its apotheosis with completion of his tomb.

Thus, there are different answers even to the question What is the Church ?, which finally is the goal of the ecumenist movement itself.

Thus the Fronde finally resulted in the disempowerment of the territorial aristocracy and the emergence of absolute monarchy.

Thus, finally, all sin and pain would disappear and men would live to the age of 1, 000 years in happiness and peace, and after death enjoy a blessed immortality in the spirit world.

Thus the unification of the four provinces in the Union of South Africa, the idea of the British Commonwealth of Nations, and, finally, the great whole resulting from the combination of the peoples of the earth in a great league of nations were but a logical progression consistent with his philosophical tenets.

Thus, respectable momentum was given to the idea that finally came to fruition, on 17 April 1982, with the proclamation of the Canadian Charter of Rights and Freedoms.

Thus, as God creates, the universe evolves towards higher forms of complexity, consciousness, and finally with humans, personality, because God, who is drawing the universe towards Him, is a person.

Thus he rejected advantageous offers of mediation and alliance made to him, during 1712, by the maritime powers and by Prussia ; and in 1714 he scorned the friendly overtures of Louis XIV of France and the emperor, so that when peace was finally concluded between France and the Empire, at the Congress of Baden, Swedish affairs were, by common consent, left out of consideration.

Thus the controversy finally shifted to a speculative theological question: whether or not it was consonant with Catholic Faith to hold that Christ and the Apostles had no property individually or in common ; and while in the famous dispute at Narbonne in 1321 the inquisitor, John of Belna, claimed that it was heretical, Berengarius of Perpignan declared it a Catholic dogma in perfect accordance with the decretals of Nicholas III and Clement V.

" Thus, despite being negatively affected for at least the previous two decades, it was finally declared endangered in September 2010.

Thus, on July 18, 1966, South Cotabato was finally formed as an independent province raring to push its own development.

Thus the gods and goddesses who had once been the superiors or equals of Yahweh were first made his peers, then subordinate gods, and finally ended as angels in his service.