Thus the Af are projections which correspond to some direct-sum decomposition of the space V.

Thus he may be referring to some concrete thing, or incident, in his immediate environment by some symbolic-sounding, hyperbolic reference to transcendental events on the global scene.

Thus his persistence values for some stem frequencies per meaning are: stem identical in 8 languages, 100% ; ;

Thus some provinces contained tribes which detested each other, and to them independence meant an opportunity for war.

Thus, while altruistic persons may under some circumstances be outcompeted by less altruistic persons at the individual level, according to group selection theory the opposite may occur at the group level where groups consisting of the more altruistic persons may outcompete groups consisting of the less altruistic persons.

Thus, although some things may be certain, they have little to do with Dasein's sense of care and existential anxiety, e. g., in the face of death.

Thus although most species in the order are herbaceous, some no more than 15 cm high, there are a number of climbers ( e. g. some species of Asparagus ), as well as several genera forming trees ( e. g. Agave, Cordyline, Yucca, Dracaena ), some of which can exceed 10 m in height.

Thus, over the past 1, 500 years, some Christians have used the term Arian to refer to those groups that see themselves as worshiping Jesus Christ or respecting his teachings, but do not hold to the Nicene creed.

Thus while Persian-speakers were concentrated on the lower rungs of the work force, managers tended to be brought in from some distance.

Thus, during the abdication crisis of 1936, caused by Edward VIII's desire to marry Wallis Simpson, the consent of all realms concerned, along with, in some cases, new acts of parliament, was required in Britain and throughout the British Dominions to allow for Edward's stepping aside and to ensure that if he had any children they would have no claim to the thrones.

Thus aesthetic judgments might be seen to be based on the senses, emotions, intellectual opinions, will, desires, culture, preferences, values, subconscious behavior, conscious decision, training, instinct, sociological institutions, or some complex combination of these, depending on exactly which theory one employs.

For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is

Thus one finds brass instruments made of wood, like the alphorn, the cornett, the serpent and the didgeridoo, while some woodwind instruments are made of brass, like the saxophone.

Thus fines and noncustodial sentences may address the crimes seen as least serious, with lengthy imprisonment or ( in some jurisdictions ) capital punishment reserved for the most serious.

Thus if one chooses an infinite number of points in the closed unit interval, some of those points must get arbitrarily close to some real number in that space.

Thus literary criticism became highly theoretical and some of those practicing it began referring to the theoretical dimension of their work as " critical theory "-a philosophically inspired theory of literary criticism.

Thus miniatures were no longer required for game play, although some players continued to use them as a visual reference.

Thus, though the former understanding certainly enjoys the greatest popularity, the identification of Plotinus ’ opponents as Gnostic is not without some contention.

Thus, while D-Cinema is a defined standard, though one that is still partly being framed by SMPTE as of 2007, E-Cinema may be anything, ranging from a DVD player connected to a consumer projector to something that approaches the quality of D-Cinema without conforming to some of the standards.

Thus in some cases a single entity can essentially maintain controlling interest with only 33. 4 % of the outstanding shares.

Thus, some individuals and institutions will enter into a derivative contract to speculate on the value of the underlying asset, betting that the party seeking insurance will be wrong about the future value of the underlying asset.

" Thus Thrax, like contemporary Alexandrian scholars who edited Attic Greek and Homeric texts, was concerned with facilitating the teaching of classic Greek literature to an audience who spoke Koine Greek.

Thus, Annie's strong drive to take revenge on women scholars in general and on Miss de Vine in particular is perfectly comprehensible, and in fact does not in itself prove her to be mentally deranged.

Thus, since the 19th century many historical Jesus scholars have argued that only one of the two traditions could be authentic.

Thus, many scholars will call a body of stories " mythology ", leaving open the question of whether the stories are true or false.

However, scholars agree that these words of Montanus exemplify the general practice of religious prophets to speak as the passive mouthpieces of the divine, and to claim divine inspiration ( similar to modern prophets stating " Thus saith the Lord ").

That word came from imbarrare, " to block " or " to bar ", which is a combination of in -, " in ", with barra, " bar " ( from the Vulgar Latin barra, which is of unknown origin ).< sup > 11 </ sup > The problem with this theory is that the first known usage of the word in Italian was by Bernardo Davanzati ( 1529 – 1606 ), long after the word had entered Spanish .< sup > 12 </ sup > Thus, modern scholars believe that the Italian word actually came from the Spanish one .< sup > 13 </ sup >

Thus scholars are uncertain whether the standard Biblical ell would have been 525 or 495 mm, but are fairly certain that it was one of these two figures.

Thus in 1238 he demanded that the King should release certain Oxford scholars who had assaulted the legate Otto Candidus.

Thus, some scholars have suggested that this may have been intended to signify the absence of a central authority in Kish for a time.

Thus, according to Eliade, post-19th-century scholars have rejected Tylor's theory of evolution from animism.

Thus, today the most common opinion is, that the author is unknown and both geographically and historically at a distance to the narrated events although opinion varies and scholars such as Craig Blomberg accept the more traditional view.

Thus starting from the 8th and 9th century, many scholars have devoted their efforts to both kinds of texts equally.

Thus, most scholars debate the reliability and the plausibility of using a navigational tool that can only determine direction in such limited conditions.

Thus, many scholars believe that the Schlieffen Plan was anti-Clausewitzian in concept.

Thus Spoke Zarathustra remained unpopular as a topic for scholars ( especially those in the Anglo-American analytic tradition ) until the second half of the twentieth century brought widespread interest in Nietzsche and his unconventional style that does not distinguish between philosophy and literature.

Thus Strauss's own arguments contradict the thesis imputed to him posthumously by scholars such as S. Drury who profess that Strauss approached religion as an instrument devoid of inherent purpose or meaning.

Thus, some scholars see the French system as not one that is half presidential and half parliamentary, but as one that alternates between presidentialism and parliamentarism.

Thus, these scholars assumed that firms employed market power to impose tying contracts, but that such contracts were nonetheless harmless or even beneficial.

Thus his writings are credited by some later scholars as having had a more significant impact on their intended audience than the now better-known writings of his more polemical and religiously-grounded contemporaries.

Thus scholars generally think that the earliest Mahāyāna sūtras were mainly composed in the south of India, and later the activity of writing additional scriptures was continued in the north.

Thus, facsimile editions are intended mostly for use by scholars, along with performers who pursue scholarship as part of their preparation.

Thus Bardas founded the Magnaura School with seats for philosophy, grammar, astronomy and mathematics, supported scholars like Leo the Mathematician and promoted the missionary activities of Cyril and Methodius to Greater Moravia.

Thus, although Gelukpa scholars give detailed intepretations of the systems of breath meditation set forth in Vasubandu's and Asaṅga's texts, they may not fully account for the higher stages of breath meditation set forth in those texts.

Although there is still ongoing debate about the Jewish Christian Gospels and " only the very daring, nowadays, venture on speculations in regard to the Gospel of the Hebrews ", most scholars agree with Schneemelcher when he says, " Thus the number of Jewish Gospels -- whether there be one, two or three such gospels -- is uncertain, the identification of the several fragments is also uncertain and, finally the character and the relationship to one another of the several Jewish gospels is uncertain.