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 transmitting antennas for low-power FM radio and television transmitters were already installed on pylons.

Thus, touchscreen displays are found today in airplanes, automobiles, gaming consoles, machine control systems, appliances, and handheld display devices including the Nintendo DS and multi-touch enabled cellphones ; the touchscreen market for mobile devices is projected to produce US $ 5 billion in 2009.

Thus the technology on Harmony includes basic computers, presumably without advanced Internet capabilities, although the Oversoul was used for basic data transfer, and solar-powered handheld energy weapons, but no cars or even wagons.

In the early years, the Olympic football competition was contested between amateur sides and the UK Olympic Committee agreed to let the amateur England team represent the entire UK ( Thus the team was not really representative of the entire UK, but played under that banner ).

Thus, the Colle System is frequently seen in amateur and scholastic tournaments, but is not common in professional play.

For fine arts and journalism contests, the UIL has not adopted an " amateur rule .” Thus, students who have acted or performed professionally or who have written for a local newspaper may still compete in UIL-sanctioned contests provided they are otherwise eligible.

Thus, the club had to start over and compete at the lowest level of Bulgarian football, in the regional amateur league, Zona Rila.

Thus leading to a new champion in Argentine football, Club Atlético Banfield won its first professional title in the first division, which adds up to one dating from the amateur era.

Thus, the Audion could not only detect and amplify radio signals, it could transmit them as well.

Thus, both Carson and Armstrong ultimately contributed significantly to the science and technology of radio.

Thus, a Japan Airlines flight numbered 111 would be written as " JAL111 " and pronounced " Japan Air One One One " on the radio, while a similarly numbered Aer Lingus would be written as " EIN111 " and pronounced " Shamrock One One One ".

( Thus, a song that is in the public domain is free to play on the radio, regardless of who performs it or when it was performed.

Thus they are more like a two-way radio than like a telephone.

Expected to make use of devices with which listeners could press a button to indicate whether they liked or disliked a particular piece of music, Adorno bristled with distaste and astonishment: “ I reflected that culture was simply the condition that precluded a mentality that tried to measure it .” Thus Adorno suggested using individual interviews to determine listener reactions and, only three months after meeting Lasarzfeld, completed a 160-page memorandum on the Project ’ s topic, “ Music in Radio .” Adorno was primarily interested in how the musical material was affected by its distribution through the medium of radio and thought it imperative to understand how music was affected by its becoming part of daily life.

Thus the wavelength of a 100 MHz electromagnetic ( radio ) wave is about: 3 × 10 < sup > 8 </ sup > m / s divided by 10 < sup > 8 </ sup > Hz = 3 metres.

Thus, the media of Venezuela consists of several different types of communications media: television, radio, newspapers, magazines, cinema, and Internet-based news outlets and websites.

Thus the figure of merit of a communications system is not the noise level at the speaker of a radio, for instance, since that depends on the setting of the receiver's gain.

Thus, a high Q tuned circuit in a radio receiver would be more difficult to tune, but would have greater selectivity, it would do a better job of filtering out signals from other stations that lie nearby on the spectrum.

Thus in the UK and some other countries, the contemporary evolution of radio services is focused on Digital Audio Broadcasting ( DAB ) services or HD Radio, rather than satellite radio.

Thus in the UK and some other countries, the contemporary evolution of radio services is focused on Digital Audio Broadcasting ( DAB ) services or HD Radio, rather than satellite radio.

Thus, the high-speed alternator would produce a steady radio signal when connected to an aerial.

Thus, most modern halakhic authorities hold that hearing a shofar on the radio or the Internet would not be valid to satisfy the mitzvah because " electronically reproduced sounds do not suffice for mitzvot that require hearing a specific natural sound.

Thus began the " official " radio drama that many Shadow fans know and love, with 22-year-old Orson Welles starring as Lamont Cranston, a " wealthy young man about town.

Thus they show strong optical continuum emission, broad and narrow emission lines, and strong X-ray emission, together with nuclear and often extended radio emission.

Thus, Khatami had no legal authority over key state institutions: the armed forces, the police, the army, the revolutionary guards, the state radio and television, the prisons, etc.

Thus, the term roaming is not linked to a specific network standard, but rather to the type of subscriber entry in the home subscriber register of the mobile radio network.

Thus, a high Q tuned circuit in a radio receiver would be more difficult to tune, but would have more selectivity ; it would do a better job of filtering out signals from other stations that lie nearby on the spectrum.

Thus, a Georgia radio station of that era lists " cowboy Roy Lykes ", the " Yodeling Fence Rider " from Texas, in its 1934 roster.

Thus the interfering currents are canceled out, so twin lead does not tend to pick up radio noise.

Thus began the famous " Battle of the Beams " which lasted throughout much of World War II, with the Germans developing new radio navigation systems and the British developing countermeasures to them.

Thus in those diglossic societies which are also characterized by extreme inequality of social classes, most people are not proficient in speaking the high dialect, and if the high dialect is grammatically different enough, as in the case of Arabic diglossia, then these uneducated classes cannot understand most of the public speeches they might hear on television and radio.