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, in Steiner's view, we can overcome the subject-object divide through inner activity, even though all human experience begins by being conditioned by it.

Thus enhanced electrotonic coupling results in lower tonic activity of the coupled cells while increasing rhythmicity.

Thus, the effect of using this procedure is to make activity equal to the numerical value of concentration.

Thus far, most of the compounds that show high activity against the eukaryotic type II enzyme contain aromatic substituents at their C-7 positions.

Thus objective spiritual knowledge always entails creative inner activity.

Thus, one might talk about the spectrum of political opinion, or the spectrum of activity of a drug, or the autism spectrum.

Thus, each " vitamin " refers to a number of vitamer compounds that all show the biological activity associated with a particular vitamin.

Thus if the project team is reporting progress monthly, then no single activity or series of activities should be longer than one month long.

Thus, striatal activity exerts an excitatory ( or rather disinhibitory ) effect on SNr neurons via the direct pathway, but an inhibitory effect via the indirect pathway.

Thus, the level of the cosmic ray flux varies with solar activity.

He claimed that on top of individual exploitation, the capitalist also unjustly appropriates the additional value ( termed “ collective force ”) produced by co-operative activity as a “ force of one thousand men working twenty days has been paid the same wages that one would be paid for working fifty-five years ; but this force of one thousand has done in twenty days what a single man could not have accomplished, though he had laboured for a million centuries .” Thus the capitalist may have “ paid all the individual forces ” but “ the collective force still remains to be paid ” and which the capitalists “ enjoy unjustly .” Other notable anti-capitalist thinkers claim that the elite maintain wage slavery and a divided working class through their influence over the media and entertainment industry, educational institutions, unjust laws, nationalist and corporate propaganda, pressures and incentives to internalize values serviceable to the power structure, state violence, fear of unemployment and a historical legacy of exploitation and profit accumulation / transfer under prior systems, which shaped the development of economic theory:

Thus, for any given level of economic activity, more of the benefit accrues to the local community and less drains out to other parts of the country or the world.

Thus 24 carat gold is not affected but 14 carat gold will show chemical activity.

Thus, in regard to stress or injury, the function of adenosine is primarily that of cytoprotection preventing tissue damage during instances of hypoxia, ischemia, and seizure activity.

Thus there is not the same direct relation between magnetic optical activity and molecular stereochemistry which would be expected, because it is found in natural optical activity.

Thus deprived of the power of vigorous bodily activity, he became a great reader and diligent student.

Thus low amounts of Mg lead to a decrease in photosynthetic and enzymatic activity within the plants.

Thus its activity a = p / p * will go to unity.

Thus, for example, in matters of foreign affairs, security, immigration and ecology, their activity shall be limited in accordance with imperatives of Israel ’ s existence, security and national needs.

Thus, staining the flies for LacZ expression or activity and cloning the sequence surrounding the integration site can identify the enhancer sequence.

“ The truth is that there is not enough of the right kind of freedom, the fundamental freedom to choose to be free or not to be free, according to one's preference .... Thus I demand, for each and every member of human society, freedom of association according to inclination and of activity according to aptitude.

Thus it is the predominant estrogen during reproductive years both in terms of absolute serum levels as well as in terms of estrogenic activity.

“ Since timing and levels of sexual activity are quite similar across France, Canada, Great Britain, and the U. S., the high U. S. rates arise primarily because of less, and possibly less-effective, contraceptive use by sexually active teenagers .” Thus, the cause for the discrepancy between rich nations can be traced largely to contraceptive-based issues.