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, 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, an explanation of this alveolar bronchial artery supply might be the nutritive requirement of an increased amount of supportive tissue, not primarily diffusing in nature, in the region of the alveolus.

Therefore it is better to strive for harmony, minimising potentially harmful interference with nature or in human affairs.

Therefore, while God's authority was absolute, God was also authoritative over the laws of nature which were God's " other book.

" Therefore, it is imperative for persons to act in accordance with their nature and develop their latent talents in order to be content and complete.

Therefore, the underlying reason for gay behavior, he argues, must be to rebel against God, to wish to do something forbidden ( perhaps, implying some innate knowledge of its forbidden nature ).

Therefore, in order to properly grasp the nature of the wax, he should put aside the senses.

Therefore, statutes of limitation are typically seen as a limitation on the waiver of sovereign immunity, which is jurisdictional in nature.

Therefore the first four chapters lay out his case that selection in nature, caused by the struggle for existence, is analogous to the selection of variations under domestication, and that the accumulation of adaptive variations provides a scientifically testable mechanism for evolutionary speciation.

His wisdom is infinite: He is never mistaken in choosing the means to any end: But the course of nature tends not to human or animal felicity: Therefore it is not established for that purpose.

Therefore the four schools can be seen as a gradual path from a rather easy-to-grasp, " realistic " philosophical point of view, to more and more complex and subtle views on the ultimate nature of reality, that is on emptiness and dependent arising, culminating in the philosophy of the Mādhyamikas, which is widely believed to present the most sophisticated point of view.

Therefore, for most Muslims, the best artwork that can be created by man for use in the Mosque is artwork that displays the underlying order and unity of nature.

These craft traditions have withstood the ravages of time and numerous foreign invasions and continue to flourish till date owing to the assimilative nature of Indian culture and broadmindedness of the handicraftsmen to accept and use new ideas. Therefore the handicrafts are a mark of golden history of our country.

Therefore, the definition of Africa according to French ideas, and the nature of racism in French society is crucial to understanding the reason for the hip hop and rap sensation in France.

Therefore we are prepared and nothing comes in the nature of a catastrophe.

Therefore, hubris would not necessarily be a theme in this tale ; rather the capricious weakness of the Gods and their equally weak nature in comparison to humans.

" Therefore this foreordination to wrath is passive in nature ( unlike God's active predestination of His elect where He needs to overcome their sinful nature ).

Therefore, through the use of second nature and third nature society is able to use and explore new vectors of possibility where information can be moulded to create new forms of interaction ( Wark, 1997, p. 28 ).

According to historian Kurakichi Shiratori, one of emperor Shōwa's teachers: ' Therefore nothing in the world compares to the divine nature ( shinsei ) of the imperial house and likewise the majesty of our national polity ( kokutai ).

Therefore, the direct distribution of the profits generated by the labour of each worker — to fulfil the interests of the working class, and so to his and her own interest and benefit — will constitute an un-alienated state of labour conditions, which restores to the worker the fullest exercise and determination of his and her human nature.

Therefore, even though the trine and sextile are considered to be easy aspects, any aspect they make with Pluto is likely to be fraught with difficulties until the native learns to transform his environment through the transcendental nature of the planet.

Therefore, the recovery of this formerly endangered species is a true success story for nature conservation.

Therefore, it represented one of the first attempts to appreciate the constructive nature of experience and the meaning persons give to their experience.