Thus D' and N' commute with any polynomial in T ; ;

Thus, for non-negative changes in the basic wage rate, the industry becomes the active wage-setter, since any increase in the basic wage rate can occur only by reason of industry acquiescence.

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.

Thus he wired J. P. Lower and Sons of Denver: `` Have you any percussion hand grenades for throwing in a house or across a well loaded with balls or shrapnel shot??

Thus, when Dartmouth's Winter Carnival -- widely recognized as the greatest, wildest, roaringest college weekend anywhere, any time -- was broadcast over a national television hookup, Prexy John Sloan Dickey appeared on the screen in rugged winter garb, topped off by a tam-o'-shanter which he confessed had been acquired from a Smith girl.

Thus he will be in a position to disabuse the Soviet leader of any notions he may have about grave Allied disunity.

Thus, an algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete system.

The evaluation order does not affect the value of such expressions, and it can be shown that the same holds for expressions containing any number of operations .< ref > Thus, when is associative, the evaluation order can be left unspecified without causing ambiguity, by omitting the parentheses and writing simply:

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, 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, anthroposophy considers there to be a being who unifies all religions, and who is not represented by any particular religious faith.

Thus, any transverse velocity of the emitting source plays no part in aberration.

Thus, for example, fumaroles from the Laguna Caliente crater of Poás Volcano create extremely high amounts of acid rain and fog, with acidity as high as a pH of 2, clearing an area of any vegetation and frequently causing irritation to the eyes and lungs of inhabitants in nearby settlements.

Thus, it determines substancehood empirically by the togetherness of properties rather than by a bare particular or by any other non-empirical underlying strata.

Thus, the Big Bang theory cannot and does not provide any explanation for such an initial condition ; rather, it describes and explains the general evolution of the universe going forward from that point on.

Thus, a PICMG backplane can provide any number and any mix of ISA, PCI, PCI-X, and PCI-e slots, limited only by the ability of the SBC to interface to and drive those slots.

Thus, in any use of biological weapons, it is highly likely that animals will become ill either simultaneously with, or perhaps earlier than humans.

Thus, the energy required to break any single pair is related to the energy required to break all of the pairs ( or more than just two electrons ).

Thus, any error in technology or judgment may have far-reaching consequences ( though the same can also happen through natural reproduction ).

Thus, computing includes designing and building hardware and software systems for a wide range of purposes ; processing, structuring, and managing various kinds of information ; doing scientific studies using computers ; making computer systems behave intelligently ; creating and using communications and entertainment media ; finding and gathering information relevant to any particular purpose, and so on.

Thus, by speaking of ' consciousness ' we end up misleading ourselves by thinking that there is any sort of thing as consciousness separated from behavioral and linguistic understandings.

Thus, any examination of the evolution of consciousness is faced with great difficulties.

Thus, in an agent-neutral theory, an actor's personal goals do not count any more than anyone else's goals in evaluating what action the actor should take.

Thus, to be valid, any law must conform to natural law and coercing people to conform to that law is morally acceptable.

Thus, despite widely held popular belief outside the Orthodox cultures, there is not one bishop at the head of the Orthodox Church ; references to the Patriarch of Constantinople as a leader equivalent or comparable to a pope in the Roman Catholic Church are mistaken.

Thus, the immensely popular goddess Durga was a pre-Vedic goddess who was later fused with Parvati, a process that can be traced through texts such as Kalika Purana ( 10th century ), Durgabhaktitarangini ( Vidyapati 15th century ), Chandimangal ( 16th century ) etc.

Thus, freethinkers strive to build their opinions on the basis of facts, scientific inquiry, and logical principles, independent of any logical fallacies or intellectually limiting effects of authority, confirmation bias, cognitive bias, conventional wisdom, popular culture, prejudice, sectarianism, tradition, urban legend, and all other dogmas.

Thus, while Rabbi strengthened his ties with the wealthy, he also broadened his power base by becoming a more popular figurehead.

Thus, in Bakunin ’ s words: “ All that individuals can do is to clarify, propagate, and work out ideas corresponding to the popular instinct ”.

Thus, fifteen years later, a local leader named Muhammad Thakurufaanu Al-Azam and his two brothers organized a popular revolt and drove the Portuguese out of Maldives.

Thus, Windows is popular because it is well supported, but is well supported because it is popular.

Thus the popular phrase: there is only one political party, the incumbent party.

Thus in four close U. S. elections ( 1824, 1876, 1888, and 2000 ), the candidate with the most popular votes still lost the election.

Thus, by the time of the Roman Empire, a sophist was simply a teacher of rhetoric and a popular public speaker.

Thus, Stanley Diamond argued that when the term " cultural relativism " entered popular culture, popular culture coopted anthropology in a way that voided the principle of any critical function:

Thus the very popular MARITIME CYPRUS shipping conference which takes place every 2 years, attracting all the largest shipping companies of the world.

Thus Andrew Lloyd Webber created two popular musicals, Jesus Christ Superstar and Joseph and the Amazing Technicolor Dreamcoat, which filled traditional biblical stories with modern-day sensibilities ; and on a similar note, Catherine Hardwicke's The Nativity Story shows a field of maize-corn in a Nazareth farming scene.

Thus, contrary to the suggestions of the popular media, when an adolescent experiences a very serious psychological problem, this behavior is usually not normative and is most likely a sign that something is not right.

Thus the gouvernements became hollow structures, but they still carried a sense of the old provinces, and so their names and limits have remained popular until today.

Thus it becomes harder to find in good condition on the collectors market, while the less popular model can still be found mint-boxed in large quantities.

Thus the conference did not adopt any time zones, contrary to popular belief.

Thus, while Rabbi Dovber Schneuri succeeded his father as Rebbe of the Chabad movement, a senior disciple of his father, Rabbi Aharon HaLevi of Strashelye, a popular and respected figure, differed with him on a number of issues and led a breakaway movement.

Thus, if popular fashion says that a ‘ blouse ’ is ideal for a certain situation or ensemble, this idea is immediately naturalized and accepted as truth, even though the actual sign could just as easily be interchangeable with ‘ skirt ’, ‘ vest ’ or any number of combinations.

Thus it seems possible that Shakespeare, in conforming to the growing " Tudor Myth " of the day, as well as taking into account new theologies of divine action and human will becoming popular in the wake of the Protestant Reformation, sought to paint Richard as the final curse of God on England in punishment for the deposition of Richard II in 1399.

Thus disinfection via alcohol was very popular: " Most " ( apple wine ) was mixed with water and even given to babies.

Thus, Vargas, now allied with all the agrarian oligarchies, with an established network of economic and political power, and the Integralists ( a fascist movement with a mass, popular support-base in urban Brazil ), forced the Brazilian Congress to respond to the growth of the Communist movement.