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, 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, though the petroleum sector is important, it remains in fact a small part of the country's overall vibrant and diversified economy.

Therefore, since 1956, the city concluded that only tourism would be the most viable sector for the local economy.

Therefore, we can say that those “ guarachas ” of a very audacious content, were apparently already sung within a wide social sector of the Havana population.

Therefore, the complete privatization of land and residencies, as well as of all small and medium state enterprises, was accomplished over the period ’ 92 -’ 96 ; prices and exchange rates were fully liberalized, and Albania changed from a country of a three figure inflation rate and economic growth regression of − 20 % into a country with a one-figure inflation rate and with an average economic growth rate of 9 % in ’ 92 and, in ’ 93 – ’ 96, 75 % of GDP was generated from the private sector.

Therefore ( self -) employment in the care sector may be a work option for consecrated hermits so qualified, providing they can convince their bishop that this will not keep them from observing their obligations of the eremitic vocation in accordance with canon 603, under which they have made their vow.

Therefore, education sector has become a profitable industry which businesses has created different kind of products and advertisement such us " the king / queen of tutorial " ( A usual advertisement tactic of Hong Kong tutorial center ), online private tutor matching platform and online learning platform offering online learning materials etc.

Therefore, many low-to medium-skilled workers who would have been able to work in the manufacturing sector in 1970 must now take low-paying, precarious jobs in the service sector.

Therefore, it seems clear that any significant reduction in the working poverty rate will have to come from offering higher wages and more benefits to the current, and future, population of service sector workers.

Therefore, the department researches the technology problems of industry and the fisheries sector, and the economics of the environment.

Therefore, everybody who is involved in the sector is subject to the principle of permanent reconfiguration of the system and the network.

Therefore, this sector can reconfigure its topography at will.

Therefore, the sector can be clipped against the portal boundaries to remove overdraw.

# Therefore, God exists.

Therefore, there exists a contact force density or Cauchy traction field that represents this distribution in a particular configuration of the body at a given time.

Therefore the derivative of at a exists and equals f ′( g ( a )) g ′( a ).

Therefore, though it exists, the right to challenge for cause during jury selection cannot be employed much.

Therefore, a dynamic equilibrium exists between ions and unionized molecules of the electrolyte in solution.

The other triose, the aldose H ( C = O )( CHOH )< sub > 2 </ sub > H ( glyceraldehyde ), has one chiral carbon — the central one, number 2 — which is bonded to groups-H ,-OH ,-C ( OH ) H < sub > 2 </ sub >, and -( C = O ) H. Therefore, it exists as two stereoisomers whose molecules are mirror images of each other ( like a left and a right glove ).

# Therefore, evidence prefers that no god, as commonly understood by theists, exists.

Therefore, evil exists to allow humans to develop as moral agents.

Therefore, it is the relatively small quantity of water in reserve in the earth ( about 1 % of our drinking water supply, which is replenished in aquifers around every 1 to 10 years ), that is a non-renewable resource, and it is, rather, the distribution of potable and irrigation water which is scarce, rather than the actual amount of it that exists on the earth.

Therefore, if I were to discover that even a black raven exists I would consider to be less probable than it was initially.

# Therefore a god exists.

Therefore a diversity of projections exists to service the many uses of maps and their vast range of scales.

Therefore, Socrates reasons, at least one thing exists that certain gods love but other gods hate.

Therefore, the law that exists at the time of the appeal might be different from the law that existed at the time of the events that are in controversy under civil or criminal law in the case at hand.

Therefore, alongside mixing of populations, exists also a cultural blending ( le métissage culturel ) that is present in France.

* Therefore there exists c in C with h ( c )

Therefore, for any c in C, exists k in ker t such that c

Therefore, for a given p, what is the probability that an open path exists from the top to the bottom?

" Therefore, God exists.

# Therefore the view that God exists is ( or is likely to be ) correct.

Therefore, there exists this sub-theme of welfare and employment and how they conflict in the financial aspect of Claudine ’ s life.

Therefore, in the Kabbalistic system, God is the ultimate reality, so that creation only exists because it is continuously sustained by the will of God.

: Therefore, there exists a presumption that A is true.

Therefore, the details of story structures and contents reveal much about the social, cultural, and historical context in which the story-teller exists., Narrative inquiry is conducted with the understanding that stories that people tell are often at the surface of a more complex underlying story.