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, 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 a clear distinction is made to the situation under the confederal Dutch Republic when the States-General represented the provinces.

Thus the gouvernements became hollow structures, but they still carried a sense of the old provinces, and so their names and limits have remained popular until today.

Thus, the provinces and parliament have no formal role in such appointments, sometimes a point of contention.

Thus, from the ranks of the legions throughout the provinces, Augustus recruited the Praetorian Guard.

Thus the unification of the four provinces in the Union of South Africa, the idea of the British Commonwealth of Nations, and, finally, the great whole resulting from the combination of the peoples of the earth in a great league of nations were but a logical progression consistent with his philosophical tenets.

Thus the stage was set for Emperor Maurice to establish the Exarchates to deal with the constantly evolving situation of the provinces.

Thus Alba, by his unrelenting harshness, became the unwitting instrument of the future independence of the seven Dutch provinces.

Thus confusion arose between the central government in Bogotá and the provinces and the municipalities.

Thus, during the NEP years from 1980-1985 the province of Alberta was the sole overall net contributor to the federal government while all other provinces enjoyed being net recipients.

Thus, provinces were slowly divided into smaller units to avoid concentration of power and military capacity in the hands of one man.

Thus the last of the provinces of the Western Roman Empire had ceased to exist, 222 years after the fall of Rome and the last Western Roman emperor.

Thus, the territories of East Brandenburg, Silesia, Pomerania and the provinces of Prussia and Poznań ( Posen ) were all parts of the initial territory that comprised the German Empire in 1871.

Thus many more of these kingdoms / provinces, also known as Samsthanamus or Zamindaris, came into existence.

( Thus, each of South Africa's nine provinces has equal representation in the Council regardless of population.

Thus some Arian Christians in the west used the vernacular languages, in this case including Gothic and Latin, for services, as did Christians in the eastern Roman provinces, while most Christians in the western provinces used Latin.

Thus a single diploma may yield the names of as many as 25 units included in the same constitution, critical data on the deployment of auxiliary units in the various provinces of the empire at different times.

Thus, Sucumbíos is one of the most important provinces in the country, economically.

Thus, it remained to the monarchic government to abolish the lifelong character of membership in the Senate and to allow the choice of presidents of the provinces by popular vote, to achieve a broader federalism.

Thus under the 1919 Treaty of Saint-Germain-en-Laye, the rump state of German Austria had to cede to Italy the southern part of the former crown land of the Princely County of Tyrol, i. e. the present-day provinces of Trentino and South Tyrol and parts of the province of Belluno.

Thus, both the cities and provinces in Canada rely on CMHC for the continuation of housing development in the areas under their jurisdiction.

Thus, they can be found in almost all provinces of Cameroon and in the world, mainly as business owner.

Thus the gem might have been custom cut for a friend in the provinces.

Thus in little more than a hundred years the structural arrangement by provinces envisaged by the First Council of Nicaea was, according to John H. Erickson, transformed into a system of five large divisions headed by the bishops of Rome, Constantinople, Alexandria, Antioch, and Jerusalem.