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, in 94 Anguo Chanyu joined forces with newly subjugated Xiongnu from the north and started a large scale rebellion against the Han.

Thus he had access to the early Han dynasty archives, edicts, and records.

Thus, the Shu Han force behind the enemy line was able to make a prudence dictated return to Hanzhong.

Thus, students learn Chinese culture by reading not only Confucius, Laozi and Zhuangzi, but also Mencius, Xun Zi, Han Feizi, and Mozi, as well as historical narratives by Sima Qian and the Zuo Zhuan, the later movement of Neo-Confucianism and Zhu Xi, narrative works such as Journey to the West or the Romance of the Three Kingdoms and the great Chinese poets, Li Bai, Wang Wei and Du Fu.

Thus, his strategist, Pang Ji suggested him to form a secret alliance with the warlord Gongsun Zan and incite the latter to attack Han Fu's Ji Province.

Thus, Elan tries to kill Han by using the last of her bo ' tous spores on him, acknowledging her mission to kill as many Jedi as possible a failure, but Elan is denied even that victory when both she and Han stumble into a sealed room and Han pulls on a breathing mask that protects him against the spores.

" Thus, he founded his first newspaper, called the Qing Yi Bao ( 清議報 ), named after a student movement of the Han Dynasty.

Thus in the cultural history of the Han, the Lius became the second famous family after Sima Tan and Sima Qian.

Thus it is also sometimes called the Book of Former Han.

Thus the Qin li of about 576 meters became with other changes the Han li, which was standardized at 415. 8 meters.

Thus, scholar Aihe Wang views the defeat of the King of Huainan as symbolic of China's increasing cultural centralization during the Han Dynasty.

Thus, up to the unification of the country, Nepal's recorded history is largely that of the Kathmandu Valley.

Thus after the unification under the Western Jin Dynasty an era of prosperity began as the relocated tribes adopted agriculture and contributed to the revival of the economy.

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, the main goal of the Sphere was the hakkō ichiu, the unification of the eight corners of the world under the rule ( kōdō ) of the Emperor.

Thus, he took up from Jinul the tradition of unification of Seon and Gyo Buddhism.

Thus, in an unprecedented process of unification, U. S. Army medicine gradually came together in a new home under the command of the Surgeon General.

Thus attempts at unification within the Maghrib were more often than not the means by which to counterbalance one or both of the region's major powers.

Thus, within twenty four hours of the Republic's announcement, Algeria threatened Tunisia with military intervention if Tunisia went ahead with the unification.

Thus when German unification became realistic, Wagner wanted to go back to Germany proper – a general attitude of Baltic Germans.

Thus, with the sanction of the Church came the unification of communities in various dioceses with the mother-house at Carondelet, now in the city of St. Louis.