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Page "Elementary group theory" ¶ 48
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Therefore and both
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, 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,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.
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, 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.

Therefore and are
Therefore, it is plain that the clear distinctions of the nineteenth century are no longer with us.
Therefore, the only unknown structural feature would appear to be whether the hydrogen atoms are located symmetrically ( 1 ) or asymmetrically ( 3 ).
Therefore, detergents are used.
Therefore, if the sense of touch is functioning normally and there is a complete absence of spatial awareness in a psychically-blind person when the eyes are closed and an object is handled, the conclusion seems unavoidable that touch by itself cannot focus and take possession of the third-dimensionality of things and that actual sight or visual representations are necessary.
Whereas, John Brown has cheerfully risked his life in endeavoring to deliver those who are denied all rights and is this day doomed to suffer death for his efforts in behalf of those who have no helper: Therefore,
Therefore employment and education in all the schools in a metropolitan area are related in different ways from those which are characteristic of the comprehensive high school described in my first report.
Therefore, the only conceivable alternatives are those represented, on the one hand, by the two at least apparently self-consistent but mutually exclusive positions of Buri and Barth and, on the other hand, by the third but really pseudo position ( analogous to a round square ) of Bultmann.
Therefore, neither merit the beatific vision, nor yet are subjected to any punishment, because they are not guilty of any personal sin although they have not received baptism, so still bear original sin.
Therefore, by the " elsewhere " convention, the oral allophones are considered basic ; nasal vowels in English are considered to be allophones of oral phonemes.
Therefore rings and Z-algebras are equivalent concepts, in the same way that abelian groups and Z-modules are equivalent.
Therefore, they are considered two forms of antibodies: soluble form or membrane-bound form ( Parham 21-22 ).
Therefore the interpretation of what kinds of sexual activity are acceptable for a layman is not a religious matter as far as Buddhism is concerned.
J. B. Curtis in his 1979 paper " On Job's Response to Yahweh ", argues that Job's final responses to Yahweh are a total rejection of Yahweh rather than an expression of repentance, and translates Job 42: 6 as " Therefore I feel loathing contempt and revulsion ( toward you, O God ); and I am sorry for frail man.
Therefore, because the breasts are especially sensitive to developmental interference ( genetic and environmental ), breast symmetry indicates a woman of good health and thus of good breeding stock, who shall successfully bear more ( surviving ) children than will a woman with asymmetrical breasts.
Therefore, local changes in concentration ( e. g. Creaming and Sedimentation ) and global changes in size ( e. g. flocculation, coalescence ) are detected and monitored.
Therefore, while the basic features of this epoch have been worked out in the Big Bang theory, the details are largely based on educated guesses.
Therefore Latinos are Americans who are descendants of the Latin group ( namely Spain, France, Italy and Portugal ) and Hispanic refers to the descendants from the Iberian Peninsula ( also known as Ibero-American ).
Therefore, the stresses considered in continuum mechanics are only those produced by deformation of the body, sc.
Therefore, strictly speaking, root vegetables ( such as potatoes, carrots or onion ) are not to be used as this will result in death of vegetables.

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