Therefore no complete system, i. e. including the electromagnetic modes, can have negative temperatures, since there is no highest energy state, so that the sum of the probabilities of the states would diverge for negative temperatures.

Therefore, since sound is in fact an infinitesimal pressure difference propagating through a fluid, the speed of sound in that fluid can be considered the fastest speed that " information " can travel in the flow.

Therefore, they are subject to counter-party risk, like an ordinary contract, since each counter-party relies on the other to perform.

Therefore, they were un-priced and hence the system would be necessarily inefficient since the central planners would not know how to allocate the available resources efficiently.

Therefore, c divides the initial remainder r < sub > 0 </ sub >, since r < sub > 0 </ sub > = a − q < sub > 0 </ sub > b = mc − q < sub > 0 </ sub > nc = ( m − q < sub > 0 </ sub > n ) c. An analogous argument shows that c also divides the subsequent remainders r < sub > 1 </ sub >, r < sub > 2 </ sub >, etc.

Therefore, the logical basis for the theory is deeply flawed, since it presumes that early Americans, despite being only a slight fraction of the population of industrial era America and armed with rudimentary tools, were many times more destructive than later historic humans who engaged in the often deliberate eradication of species.

" Therefore, although the thesis of the " Mysterium Cosmographicum " was in error, modern astronomy owes much to this work " since it represents the first step in cleansing the Copernican system of the remnants of the Ptolemaic theory still clinging to it.

Therefore, who does this is not forbidden to the priesthood because of harlotry, and a woman is not prohibited to her husband by this, since it is not harlotry.

Therefore, since a non-covered sector exists nearly everywhere, the predictions of the textbook model simply cannot be relied on.

Therefore, the optimal mutation rate for a species is a trade-off between costs of a high mutation rate, such as deleterious mutations, and the metabolic costs of maintaining systems to reduce the mutation rate, such as DNA repair enzymes .< ref name = Sniegowski > Viruses that use RNA as their genetic material have rapid mutation rates, which can be an advantage since these viruses will evolve constantly and rapidly, and thus evade the defensive responses of e. g. the human immune system.

Therefore, they often vary since one is theoretical and the other is experimental.

Therefore, since nature has demonstrated the basic operations needed to perform molecular-level cell repair, in the future, nanomachine based systems will be built that are able to enter cells, sense differences from healthy ones and make modifications to the structure.

Therefore, hexadecimal is more commonly used in programming languages today, since two hexadecimal digits exactly specify one byte.

It is the business of the pope to look after the interests of the Roman empire, since the empire derives its origin and its final authority from the papacy ; its origin, because it was originally transferred from Greece by and for the sake of the papacy ... its final authority, because the emperor is raised to his position by the pope who blesses him, crowns him and invests him with the empire .... Therefore, since three persons have lately been elected king by different parties, namely the youth son of Henry VI, Philip Hohenstaufen, brother of Henry VI, and Otto Brunswick, of the Welf family, so also three things must be taken into account in regard to each one, namely: the legality, the suitability and the expediency of his election ...... Far be it from us that we should defer to man rather than to God, or that we should fear the countenance of the powerful .... On the foregoing grounds, then, we decide that the youth should not at present be given the empire ; we utterly reject Philip for his manifest unfitness and we order his usurpation to be resisted by all .... since Otto is not only himself devoted to the church, but comes from devout ancestors on both sides ..... therefore we decree that he ought to be accepted and supported as king, and ought to be given the crown of empire, after the rights of the Roman church have been secured.

: Therefore, since everything asserted by the inspired authors or sacred writers must be held to be asserted by the Holy Spirit, it follows that the books of Scripture must be acknowledged as teaching solidly, faithfully and without error that truth which God wanted put into sacred writings

Therefore, since the ability to visually see a transmitting antenna ( disregarding the limitations of the eye's resolution ) roughly corresponds to the ability to receive a radio signal from it, the propagation characteristic of high-frequency radio is called " line-of-sight ".

Therefore, the viscosity and friction of the liquid in this model do not play a role, since these quantities would play a role only for a moving fluid.

Therefore, since sperm are antigenically different from self tissue, a male animal can react immunologically to his own sperm.

Therefore, since 1986 no Dutch judge has any formal competence to impose the death penalty.

Therefore, since both the panorama and The Prelude imitate the senses, they are equal and suggest Wordsworth was not entirely opposed to panoramas.

Therefore, aside from that one exception, since 1948 Israeli governments have always comprised coalitions.

Therefore, he was barred from Major League Baseball before, the season that black players were admitted to the Major Leagues for the first time since the 19th century.

To start with, none of the terms a, 2a, ..., ( p − 1 ) a can be congruent to zero modulo p, since if k is one of the numbers 1, 2, ..., p − 1, then k is relatively prime with p, and so is a, so Euclid's lemma tells us that ka shares no factor with p. Therefore, at least we know that the numbers a, 2a, ..., ( p − 1 ) a, when reduced modulo p, must be found among the numbers 1, 2, 3, ..., p − 1.

Therefore, The Cottagers have had 12 grounds overall ( including a temporary stay at Loftus Road ), meaning that only their former ' landlords ' and rivals QPR have had more home grounds ( 14 ) in British football.

Therefore, during parturition, midwives brought a stool to the home where the delivery was to take place.

Therefore, travelers returning from endemic areas are unlikely to have dengue if fever or other symptoms start more than 14 days after arriving home.

Therefore he is like a sailor because he is at home on the sea.

Therefore, if a computer enthusiast somehow has 20 computers at home which he uses himself for software development ( and aren't acting as part of a business, for example, a server farm ), one subscription allows all 20 of those computers to be running their own separate copy of Windows, Office, and any other Microsoft product.

Therefore, Mr. Lord's estate on the bank of the Belize River became Lord's Bank and Mr. Flowers ' home place on this same river became Flowers Bank.

Therefore, one day he comes home and confesses to his mother about having had a vasectomy because he does not want to procreate and be stuck in a situation similar to his mother ’ s.

Therefore, it can be demonstrated with mathematical precision that Human beings impose a remarkable set of quantum stresses upon their home continuum, resulting in a near-inifinity of timelines for their world-all equally real.

Therefore, as his mother had done years before when concerned about an important religious question, Smith said he went one spring morning to a secluded grove near his home to pray.

Therefore, a hitter in the PCL may have notably depressed raw statistics ( a lower batting average, fewer home runs, etc.

Therefore, its role was, at least unofficially, seen as home defence and as a result the TA was not used in conflicts such as the 1982 Falklands War and 1991 Gulf War ( 205 Scottish General Hospital were mobilised as a unit based in Riyadh, Saudi Arabia, during the 1991 Gulf War and a number of TA staff officers and others volunteered and served during the conflict either in supporting roles in Germany or within 1 ( UK ) Armoured Division in the Middle East.

Therefore, schools which receive no taxpayer funding, including privately funded, parochial ( religiously affiliated ) and home schools are not required to abide by school-board policies.

Therefore Bermondsey Priory had control of most of the Southwark area, its ' home ' manor excepting the The Borough and the eastern side of the high street which had already been within the ownership of the Archbishop of Canterbury, which divided the Priory's holdings.

Therefore, schools selected to play in the NIT were often major conference teams with records near. 500 that had large television fan bases and would likely have a respectable attendance for tournament games on their home court.

Therefore, Corran elects to go into a self-imposed exile to his home planet of Corellia, since his guilt was more out of the fact that he felt himself plunge into the dark side of the Force briefly when he killed Shai in retaliation for Elegos A ' Kla's death.

Therefore, considerable care must be taken to prevent cross-contamination in both commercial and home food preparation.

Therefore, he considered Austria his home, a sentiment that no doubt communicated itself to his subjects and contributed to his popularity.

Therefore, not only could Mosaic not be used by most home users because of their lack of TCP / IP connections, but even if they had TCP / IP, the low speed of home modems would bring out the problems in the Mosaic design for slower speed connections ( typically 9600 and 14. 4k baud ).

Therefore, a large fraction of home users were stuck with dial-up Unix shell connections, and could not use Mosaic, or Netscape, or any of the other TCP / IP-based browsers that business-and academia-based users enjoyed.

Therefore, in HomeRF, cordless telephones and laptops, for example, could share the same bandwidth in the same home or office.

Therefore, home games for the Arizona Cardinals are scheduled for 1: 05 or 1: 25 pm before the end of Daylight saving time, and 2: 05 or 2: 25 pm ( Mountain Standard Time ) after the end of Daylight saving time.