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, in Steiner's view, we can overcome the subject-object divide through inner activity, even though all human experience begins by being conditioned by it.

Thus the view from Whitehall early in 1916: If defeat was not imminent, neither was victory ; and the outcome of the war of attrition on the Western Front could not be predicted.

Thus the " correct " way to view Figure 8 is to imagine the x-axis as pointing towards the observer and thus seeing a concave corner.

Thus the logical view refers to the way the user views the data, and the physical view refers to the way the data are physically stored and processed.

Thus, the law of " interpenetrating opposites " records the inextricable interdependence of components: the " transformation of quantity to quality " defends a systems-based view of change that translates incremental inputs into alterations of state ; and the " negation of negation " describes the direction given to history because complex systems cannot revert exactly to previous states.

Thus, the word " haibun ", though counted as two syllables in English, is counted as four on in Japanese ( ha-i-bu-n ); and the word " on " itself, which English-speakers would view as a single syllable, comprises two on: the short vowel o and the moraic nasal

Thus it is not out of view of the immune system One of these pieces, a protein called

Thus to kiss an icon of Christ, in the Eastern Orthodox view, is to show love towards Christ Jesus himself, not mere wood and paint making up the physical substance of the icon.

Thus, the ship Cirne of the captain Diogo Fernandes Pereira, came into view of Réunion island on 9 February 1507.

Thus, Nathanael ’ s question, “ Can anything good come out of Nazareth ?” is consistent with a negative view of Nazareth in the canonical gospels, and with the Johannine proclamation that even his brothers did not believe in him.

Thus two people can view the same event and come away with entirely different perceptions of it, even disagreeing about simple facts.

Thus the Bahá ' í view promotes the unity of humanity, and that people's vision should be world-embracing and that people should love the whole world rather than just their nation.

Jeff Snyder is a spokesman for the view that gun possession is a civil right, and that therefore arguments about whether gun restrictions reduce or increase violent crime are beside the point: " I am not here engaged in ... recommending ... policy prescriptions on the basis of the promised or probable results crime ... Thus these essays are not fundamentally about guns at all.

Thus grammars that employ phrase structure rules are constituency grammars (= phrase structure grammars ), as opposed to dependency grammars, which view sentence structure as dependency-based.

Thus the term " syāt " should be prefixed before each proposition giving it a conditional point of view and thus removing any dogmatism in the statement.

Thus from a certain point of view, regularity is not really the issue here, and we could impose a weaker condition instead to get the same result.

Thus, from a decision theory point of view, the distinction between " optimizing " and " satisficing " is essentially a stylistic issue ( that can nevertheless be very important in certain applications ) rather than a substantive issue.

Thus, a view could in effect be a new relational operator defined in terms of the existing operators.

Thus knowledge of Tages comes mainly from what is said about him by the classical authors, which is a legendary and quasi-mythical view ; Lydus suggests that Tages is only a parable.

Thus, Ọdịnala in this view is for every world but originated from Igboland.

Thus, by the absolutist view, only combatants can be attacked.

Thus, a neutral point of view requires testing measures consensual to anyone expected to believe the results.

Thus its view is called conditional predestination, since the predetermination of the destiny of individuals is based on God's foreknowledge of the way in which they will either freely reject Christ or freely accept him.