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, 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, compound crossbows generally use only pulleys that are both round and concentrically mounted, in order to capture the maximum available energy from the relatively short draw length.

Therefore, whether solving for one parameter or for both paramters simultaneously, a numerical solution on a computer is typically required.

Therefore both and are inverses of By Theorem 1. 5,

Therefore, many Muslim scholars, both classical ( Ibn Ishaq ) and modern ( Reza Aslan ), speak of Hosea as one of the true Hebrew prophets of Israel.

Therefore, the energy eigenstates may be classified by two angular momentum quantum numbers, ℓ and m ( both are integers ).

Loss of NOEY2 expression is linked to an increased risk of ovarian and breast cancers ; in 41 % of breast and ovarian cancers the protein encoded by NOEY2 is not expressed, suggesting that it functions as a tumor suppressor gene Therefore, if a person inherits both chromosomes from the mother, the gene will not be expressed and the individual is put at a greater risk for breast and ovarian cancer.

Therefore ( D1 ) is both true and false.

Therefore, the Maltese court system safeguards both the positions of the judge and to a certain extent, the position of the courts, from political interference by government or by Parliament.

Therefore, both the Latin and Germanic names were probably derived from a Celtic source, which would have been * Mosā.

Therefore, the Crown and the defence will often make a joint submission where they will both recommend the same sentence, or ( much more commonly ) a relatively narrow range ( with the Crown arguing for a sentence at the upper end of the range and the defence arguing for a sentence at the lower end ) so as to maintain the visibility of the judge's ability to exercise discretion.

Therefore, all significant versions of predestination account for the differences between people ( perhaps in life or, in death, or both ) by reference to the will of the Creator.

Therefore, kyanite is often the preferred material, as it contributes both mechanical strength and, in amounts up to 20 %, significantly reduces thermal expansion.

Therefore, whereas cryptography protects the contents of a message, steganography can be said to protect both messages and communicating parties.

Therefore, it is often done as an expression of contempt, creativity, or both.

Therefore, it is inaccurate to think of SDH or SONET as communications protocols in and of themselves ; they are generic, all-purpose transport containers for moving both voice and data.

Therefore both sacred tradition and Sacred Scripture are to be accepted and venerated with the same sense of loyalty and reverence.

Therefore, its meaning is dependent upon the context in which it is used ; the term may apply to both the information and its form.

Therefore, suggested Kant, on the basis of such a self, it is in fact possible to reason both about the conditions and limits of human knowledge.

Therefore, their children, the Métis, were exposed to both the Catholic and indigenous belief systems, thus creating a new distinct aboriginal people in North America.

Therefore, Smith argued, the productive power of labor are both dependent on the division of labor:

Therefore, at times, both sides refrained from deploying systems capable of unanswerable nuclear strikes against either side.

Therefore, both universal statements, that " all round squares are purple " and " no round squares are purple " are true.

Therefore the two other – very close – definitions: 1200 / 7227 inch and 350 / 83 mm are both unofficial.

Therefore, the network and producer William Asher decided to fire Whitmore and combine the positive elements of both series.