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, 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, ‹ V › no longer represented adequately the labial-velar approximant sound of Germanic phonology.

Therefore, a strong shock wave forms ahead of the ejecta, that heats the upstream plasma up to temperatures well above millions of K. The shock continuously slows down over time as it sweeps up the ambient medium, but it can expand over hundreds of thousands of years and over tens of parsecs before its speed falls below the local sound speed.

Therefore, the letter u represents the short sound.

Therefore the argument is valid, but not sound.

Therefore, the lightning is approximately one kilometer distant for every 2. 9 seconds that elapse between the visible flash and the first sound of thunder ( or one mile for every 4. 6 seconds ).

Therefore, his instruction cannot be followed by pianists playing modern instruments without creating an unpleasantly dissonant sound.

Therefore no such media deterioration takes place, and the CD will, with proper care, sound exactly the same every time it is played ( discounting aging of the player and CD itself ); however, this is a benefit of the optical system, not of digital recording, and the Laserdisc format enjoys the same non-contact benefit with analog optical signals.

Therefore crystal receivers have to be designed to convert the energy from the radio waves into sound as efficiently as possible.

Therefore a lot of Low German words sound similar to their English counterparts.

Therefore, it is not possible to either prove or disprove his claims, and there is much discussion among experts as to whether the Me 262 was able to break the sound barrier.

Therefore, they are performed with an additional i sound, as in zhii.

Therefore the sound waves at the throat are of high pressure and low displacement.

Therefore, since frequency characterizes the pitch, the sound produced is a constant note.

Therefore making the language sound guttural such that:

Therefore, UK Hip-Hop retains the same core influences as Grime-in terms of Hip-Hop from the US's Golden Age-but greater creative control within the genre allows for expansion on the sound.

Therefore a distant sound source sounds more muffled than a close one, because the high frequencies are attenuated.

Therefore, there is only a limited amount of dialog in the film, because Savage supposedly shot scenes without regard to the professional quality of the sound, or even transferring it properly to 35mm mag stock.

Therefore, the merger of PIE aspirated and plain velar stop series was one of the last common Balto-Slavic sound changes.

Therefore, different sections of the basilar membrane vibrate depending on the frequency of the sound and give a maximum response at that particular frequency.