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 K < sub > V </ sub > 1. 3 blockers could be potential immunosuppressants for the treatment of autoimmune disorders ( such as rheumatoid arthritis, inflammatory bowel disease and multiple sclerosis ).

Thus, despite ongoing research, a complete understanding of the causes of mental disability in Graves ’ disease awaits a full description of the effects on neural tissue of thyroid hormones, as well as of the underlying autoimmune process.

Thus when yes, I have is the response to have you finished reading the paper??

Thus, ATP was a simple request / response exchange, with no need to set up or tear down connections.

Thus in A v United Kingdom, the Court dismissed a claim that a derogation lodged by the British government in response to the September 11 attacks was invalid, but went on to find that measures taken by the United Kingdom under that derogation were disproportionate .< ref >

In a digital implementation, the number of computations performed per sample is proportional to N. Thus the mathematical problem is to obtain the best approximation ( in some sense ) to the desired response using a smaller N, as we shall now illustrate.

Thus a 3D display must display twice as many images in the same period of time as a conventional display, and consequently the response time of the LCD is more important.

" Thus, a practice that the police " should know is reasonably likely to evoke an incriminating response from a suspect ... amounts to interrogation ".

Thus there is very wide and continuous range of timescales covering the response of such a system to externally applied stress.

Thus my analysis suggests that this response to the paradox the Standard Bayesian one cannot be correct.

Thus, two parties talking via satellite are subject to about a half second delay in a round-trip message / response sequence.

Thus, a proactive and comprehensive approach to HD is required for US's response.

Thus, the situation controls what type of rhetorical response takes place.

Thus, his response to Mark Twain's A Connecticut Yankee in King Arthur's Court was to write a similar time travel novel ( Lest Darkness Fall ) in which the method of time travel was rationalized and the hero's technical expertise both set at a believable level and constrained by the technological limitations of the age.

Thus, each strategy in a Nash equilibrium is a best response to all other strategies in that equilibrium.

Thus, the blood – testis barrier may reduce the likelihood that sperm proteins will induce an immune response, reducing fertility and so progeny.

Thus, in response to the question: " Is any anger acceptable in Buddhism?

Thus, without specific additional operation, the police officer querying the database of the wanted persons ( FPR ) or the database of the stolen vehicles ( FVV ) will obtain a response at the level of the Schengen States at the same time as the response at the national level.

Thus for centuries the suffering of witches and heretics being burnt at the stake failed to arouse a compassionate response: nor did brutal punishments such as boiling to death and whipping.

Thus response burden is markedly reduced, accuracy is increased, product description is more specific and point of purchase data are obtained, facilitating the estimation of outlet-type weights.

Thus, adopting a causal response to the Gettier problem usually requires one to adopt ( as Goldman gladly does ) some form of reliabilism about justification.

Thus TUND represents a sequence made up of four segments which test the alignment level, frequency response, noise and distortion in less than a minute, with many other tests, such as Wow and flutter, Headroom, and Crosstalk also available in segments as well as a whole.

Thus, according to Joseph Stanislaw and Daniel Yergin, authors of The Commanding Heights, the policy prescriptions described in the Washington Consensus were " developed in Latin America, by Latin Americans, in response to what was happening both within and outside the region.

Thus it was asserted that no critical response to the Syllabus which did not take the cited documents and their context into account could be valid ( Newman 1874 ).

Thus, as defined in 39 ( 1 ) ( d ), custodial sentences and imprisonment and to be used only in response to offences that are indictable and when non-custodial sentences are inappropriate with regards to the circumstances and the nature of the offence.