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 parliamentary constituencies were derived from the ancient boroughs.

Thus, an enemy would probably use this weapon for attack on static population centers such as large cities.

Thus in a context in which there has been discussion of snow but mention of local conditions is new, dominant stress will probably be on here in it rarely snows here, but in a context in which there has been discussion of local weather but no mention of snow, dominant stress will probably be on snows.

Thus, while the book exhibits considerable unity and probably reflects much of the historic Ezekiel, it is the product of a long and complex history and does not necessarily preserve the very words of the prophet.

Thus, at UV frequencies and higher ( and probably somewhat also in the visible range ), electromagnetic radiation does far more damage to biological systems than simple heating predicts.

Thus, for example, if we can obtain a decomposition of into a hierarchical composition of functions such that,,, as shown in the figure at right, this would probably be considered a highly valuable decomposition.

Thus if a trade secret has been acquired via industrial espionage, its acquirer will probably be subject to legal liability for acquiring it improperly.

Thus, the ancient Kamboja, probably included the Badakshan, Pamirs and northern territories including Yagnobi province in the doab of the Oxus and Jaxartes.

Thus he distrusted, and probably never fully accepted, Gay-Lussac's conclusions as to the combining volumes of gases.

The French word was derived from the Spanish embarazar, whose first recorded usage was in 1460 in Cancionero de Stúñiga ( Songbook of Stúñiga ) by Álvaro de Luna .< sup > 7 </ sup > The Spanish word likely comes from the Portuguese embaraçar, which probably is a combination of the prefix em-( from Latin in-for " in -") with baraça " a noose ", or " rope ", which makes sense with the synonym encinta (" on noose, on rope " because of the old usage of women to wear a strap of cloth on their dresses when pregnant ).< sup > 8 </ sup > Baraça originated before the Romans began their conquest of the Iberian Peninsula in 218 BCE .< sup > 9 </ sup > Thus, baraça could be related to the Celtic word barr, " tuft ".

Thus, committee action is probably the most important phase of the legislative process.

Thus these five intervals could probably be those of considerable lowering of SST in the Indian Ocean and would have influenced Indian monsoon intensity.

Thus, Ellwood believes that the later Eliade probably thought modern man should preserve elements of the past, but should not try to restore their original form through reactionary politics.

Thus, Sviatopolk was probably the eldest of Vladimir's sons, although the issue of his parentage has been questioned.

Thus, Rama Varma Kulasekara, the last emperor of Chera dynasty, is probably the founder of the Venad royal house, and the the title of Chera kings, Kulasekara, was thenceforth kept by the rulers of Venad.

Thus, although modern Chinese read " Confucius " () as Kǒng Fūzǐ, the same title would have been Khuwng Pjutsi in the Tang dynasty and was probably something like an atonal Khongʔ Patsəʔ during his lifetime.

Thus, in cases of very viscous flows ( e. g. Couette Flow ), the vorticity will be diffused throughout the flow field and it is probably simpler to look at the velocity field ( i. e. vectors of fluid motion ) rather than look at the vorticity field ( i. e. vectors of curl of fluid motion ) which is less intuitive.

Thus, Dionysius probably preserves the correct account.

Thus today denominational songbooks printed in seven shapes probably constitute the largest branch of the shape note tradition.

Thus a claim that gender is socially constructed probably means that gender, as currently understood, is not an inevitable result of biology, but highly contingent on social and historical processes.

Thus, when Tyndall returned to live in England in summer 1851, he probably had as good an education in experimental science as anyone in England.

Thus, the bulk of Tharsis is probably made of these intrusive complexes in addition to lava flows at the surface.

Thus, it will probably be eventually assigned to a new, yet-to-be-named subfamily .< ref > ( 2006 ): Using ancient and recent DNA to explore relationships of extinct and endangered Leiolopisma skinks ( Reptilia: Scincidae ) in the Mascarene islands.

Thus, it will probably be eventually assigned to a new, yet-to-be-named subfamily.