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, paradoxically, the beat writers resort to `` religious '' metaphors: they are in search of mana, the spiritual, the numinous, but not anything connected with formal religion.

Thus, anthroposophy considers there to be a being who unifies all religions, and who is not represented by any particular religious faith.

Thus, Latin grew from a highly developed cultural product of the Golden and Silver eras of Latin literature to become the international lingua franca in matters diplomatic, scientific, philosophic and religious, until the 17th century.

Thus, it has been argued that a voucher system would lead students who do not belong to a preferred religious or ethnic group, or those with disabilities, to become concentrated within the public school system.

Thus, the Sheikh of al-Azhar in Cairo, Muhammad Sayid Tantawy, who is the leading religious authority in the Sunni Muslim establishment in Egypt, alongside the Grand Mufti of Egypt, said the following about fatwās issued by himself or the entire Dar al-Ifta:

Thus they were involved in the struggle for power within France as princes but they also had a religious authority over Roman Catholicism in France as King.

Thus, Boyarin has argued that " Jewishness disrupts the very categories of identity, because it is not national, not genealogical, not religious, but all of these, in dialectical tension.

Thus, the Middle-earth legendarium, despite its lack of overt religious elements, can be interpreted as a profoundly religious work.

Thus the learned and upper class religious churches who preach the theodicy of fortune, ultimately support capitalism and corporation, while the churches who adopted the theodicy of misfortune, instead preached equality and fairness.

Thus, " the Law " is understood to be the religious teachings and rules given by God.

Thus it is distinguished from revealed theology ( or revealed religion ) which is based on scripture and religious experiences of various kinds ; and also from transcendental theology, theology from a priori reasoning.

Thus Netanyahu, despite his theoretical position of power, needed the support of the religious parties to form a viable government.

Thus ' religious conversion ' would describe the abandoning of adherence to one denomination and affiliating with another.

Thus the earliest translations of the Greek text of the stone show the translators still struggling with the historical context and with administrative and religious jargon.

Thus, the religious life is not an elite or special journey for Neo-Confucians.

Thus, the Athenians sent a religious mission to the island of Delos ( one of Apollo's most sacred sanctuaries ) on the Athenian state galley — the ship itself — to pay their fealty to the god.

Thus, Congress may include the customary words " so help me God " in an oath, but an individual would be under no compulsion to utter them, as such a requirement would constitute a religious test.

Thus, evidence of major changes in religious concepts may be recorded only in fragments of myths that supersede and later, obscure the originals.

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 ").

Thus suicide, unconventional religious beliefs, racial bigotry, unhappiness, anxiety, shyness, sexual promiscuity, shoplifting, gambling, overeating, smoking, and illegal drug use are all considered symptoms or illnesses that need to be cured.

Thus, Williams had founded the first place in modern history where citizenship and religion were separated, a place where there was religious liberty and separation of church and state.

Thus, despite its lack of a full guarantee of religious freedom or broad-based tolerance, the law is, " a significant step forward in the struggle for religious liberty.

Thus the transition from the ' old ' traditions to the new Christian religion also contributed to the adoption of Greek words into the Coptic religious lexicon.