Thus, direct comparisons can be drawn with free burning arcs which have been studied in detail during the past years and decades by numerous investigators ( Ref. 3 ).

Thus, a low intensity of hypothalamic-cortical discharges prevails in sleep and a high one during wakefulness, resulting in synchronous EEG potentials in the former and asynchrony in the latter condition.

Thus, although the agenda of external assistance in the economic sphere are cumulative, and many of the policies suggested for nations in the earlier stages remain relevant, the basic purpose of American economic policy during the later stages of development should be to assure that movement into a stage of self-sustaining growth is not prevented by lack of foreign exchange.

Thus, during any given year ( A ) if the revenues from the residential service are $7,000,000, ( B ) if the operating expenses imputed to this class of service come to $5,000,000, and ( C ) if the net investment in ( or value of ) the plant and equipment deemed devoted to this service amounts to $30,000,000, the cost analyst will report that residential service, in the aggregate, has yielded a return of $2,000,000 or 6-2/3 per cent.

According to the Christian doctrine of Universal Reconciliation, the Greek New Testament scriptures use the word " eon " to mean a long period ( perhaps 1000 years ) and the word " eonian " to mean " during a long period "; Thus there was a time before the eons, and the eonian period is finite.

Thus, during the abdication crisis of 1936, caused by Edward VIII's desire to marry Wallis Simpson, the consent of all realms concerned, along with, in some cases, new acts of parliament, was required in Britain and throughout the British Dominions to allow for Edward's stepping aside and to ensure that if he had any children they would have no claim to the thrones.

Thus, three eclipse calculations may be evidence for the suggestion that Romulus reigned from 746 BC to 709 BC, and Rome was founded during 745 BC.

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, Walsh modified the vertical passing scheme he had learned during his time with the Raiders, designing a horizontal passing system that relied on quick, short throws-often spreading the ball across the entire width of the field.

Thus, establishing rail as serious competitor to the car, particularly during the busy the summer months.

Thus a description of the cat during the course of the experiment — having been entangled with the state of a subatomic particle — becomes a " blur " of " living and dead cat.

Thus, southern Germany once more became part of the Frankish kingdom, as had northern Germany during the first years of the reign.

Thus, several civilizations may come and go during the lifespan of one and the same planet.

Thus, churches actually had money-changing tables at which each coin would be examined separately and a token of actual worth given to the layperson so that he or she could be seen by the other parishioners as putting money in the basket during that part of the service.

Thus, for example, Odysseus is represented in Hecuba ( lines 131-32 ) as " agile-minded, sweet-talking, demos-pleasing " i. e. a type of the war-time demagogues that were active in Athens during the Peloponnesian War.

Thus, it is possible that I Corinthians was written during Paul's first ( brief ) stay in Ephesus, at the end of his Second Journey, usually dated to early 54 AD.

Thus, during the 1960s and early 1970s, Portuguese development plans promoting strong economic growth and effective socioeconomic policies, like those applied by the Portuguese in the other two theaters of war ( Portuguese Angola and Portuguese Mozambique ), were not possible.

Thus began one of the most productive periods in Telemann's life: during his tenure at Eisenach he composed a wealth of instrumental music ( sonatas and concertos ), and numerous sacred works, which included four or five complete annual cycles of church cantatas, 50 German and Italian cantatas, and some 20 serenatas.

Thus, until relatively recently, the vast majority of people were educated by family members ( especially during early childhood ).

Thus, even when the Electors of Saxony were Catholics during the eighteenth century, they continued to preside over the corpus evangelicorum, since the state of Saxony was officially Protestant.

Thus, North India is kept warm or only mildly cooled during winter ; in summer, the same phenomenon makes India relatively hot.

Thus accounts such as that of the miraculous " Image Not Made by Hands ", and the weeping and moving " Mother of God of the Sign " of Novgorod are accepted as fact: " Church Tradition tells us, for example, of the existence of an Icon of the Savior during His lifetime ( the " Icon-Made-Without-Hands ") and of Icons of the Most-Holy Theotokos immediately after Him.

Thus, cloud ceiling and flight visibility are the most important variables for safe operations during all phases of flight.

Thus, Conservative Jewish practice would allow weddings during this time, except on the 9th of Av itself.

Thus late medieval Guilds of St Luke in the cities of Flanders, or the " Accademia di San Luca " ( Academy of St. Luke ) in Rome — imitated in many other European cities during the 16th century — gathered together and protected painters.

Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.

Thus the cocktail party would appear to be the ideal system, but there is one weakness.

Thus there is a clearer division of authority, administrative and legislative.

Thus, there has come into being a situation in which the state must raise all of its own revenues and, in addition, must give assistance to its local governments.

Thus, there is an added incentive to stay on the job.

Thus there are polynomials Af such that Af.

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 it is reasonable to believe that there is a significant difference between the two groups in their performance on this task after a brief `` structuring '' experience.

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 there was really an excess of eighteenth-century charm as one of these light-weight pieces followed another on Saturday night.

Thus although most species in the order are herbaceous, some no more than 15 cm high, there are a number of climbers ( e. g. some species of Asparagus ), as well as several genera forming trees ( e. g. Agave, Cordyline, Yucca, Dracaena ), some of which can exceed 10 m in height.

Thus the negation of the axiom of choice states that there exists a set of nonempty sets which has no choice function.

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

For every group G there is a natural group homomorphism G → Aut ( G ) whose image is the group Inn ( G ) of inner automorphisms and whose kernel is the center of G. Thus, if G has trivial center it can be embedded into its own automorphism group.

Thus, almost all positive integers are composite ( not prime ), however there are still an infinite number of primes.

" Thus Ambrose refused to be drawn into a false conflict over which particular local church had the " right " liturgical form where there was no substantial problem.

Thus, there is no assault if an ox gores a man.

Thus he maintained that there must be blackness as well as whiteness in snow ; how otherwise could it be turned into dark water?

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, there was seen a need for a new law that would ensure the continuance of the succession following the death of the last legal heir under the Bill of Rights, being Princess Anne, guaranteeing the line of succession would continue in the Protestant line, and excluding any possible claims by the deposed James II or his son and daughter, James Francis Edward and Louisa Maria Teresa Stuart.

Thus, services could be moved to a different machine and, so long as they kept the same service name, there was no need for users to do anything different to continue accessing the service.

This latter construal is sometimes expressed by saying " there is no fact of the matter as to whether or not P ." Thus, we may speak of anti-realism with respect to other minds, the past, the future, universals, mathematical entities ( such as natural numbers ), moral categories, the material world, or even thought.