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 while among his own colleagues he seemed merely a hypocritical and arrogant priest, in his relations with his brother humanists, such as Cosimo de ' Medici, he appeared as the student of classical antiquities and especially of Greek theological authors ".

Thus, Abulafia in the 13th century assumed that the language spoken in Paradise had been different from Hebrew, and rejected the claim then current also among Christian authors, that a child left unexposed to linguistic stimulus would automatically begin to speak in Hebrew.

Thus, various ideas have been associated with it ; Asher Peres remarked that very different, sometimes opposite, views are presented as " the Copenhagen interpretation " by different authors.

Thus the Bessie Bunter series of English boarding-school stories, initially written by the prolific Charles Hamilton under the name Hilda Richards, was taken on by other authors who continued to use the same pen-name.

Thus some authors have argued for a new classification based purely on phylogeny, disregarding the anatomy and physiology ( see below ).

Thus, although other economists focus on the identity or type of legal system of the colonizers to explain institutions, these authors look at the environmental conditions in the colonies to explain institutions.

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, in Bergsland & Vogt ( 1962 ), the authors make an impressive demonstration, on the basis of actual language data verifiable by extra-linguistic sources, that the " rate of change " for Icelandic constituted around 4 % per millennium, whereas for closely connected Riksmal ( Literary Norwegian ) it would amount to as much as 20 %.

Thus, C & S has less of a modern literary influence than D & D which was influenced by Tolkien but also by other authors such as Jack Vance, Fritz Leiber, L. Sprague de Camp and Michael Moorcock.

Thus Höffner compared the economic effects copyright law had on authors and publishing in the United Kingdom to those in Germany in the first part of the nineteenth century when in Germany such laws had not been instituted, and found that more books were printed and read in Germany where authors, in general, also made more money.

Thus certain authors argue that any histories that do not focus on spectacular events are now deemed boring to younger readers.

Thus, Watts ' conception of logic as being divided into its practical part and its speculative part, and therefore containing more than just formal logic, marks a departure from the conception of logic of most other authors.

Thus, subsequent authors usually considered the supposed P. a. cottoni a semi-melanistic color morph, and recognized an allopatric division between the subspecies as listed above.

Thus, according to Joseph Stanislaw and Daniel Yergin, authors of The Commanding Heights, the policy prescriptions described in the Washington Consensus were " developed in Latin America, by Latin Americans, in response to what was happening both within and outside the region.

Thus, many authors are now using the stochastic formalism, after the work by.

Thus, many authors are critical of Malthusianism — from sociologists ( Schnaiberg ), to economists ( Sen and Boserup ), to political scientists ( Ostrom )-- and all focus on how a country's social organization of its extraction can degrade the environment independent of abstract population.

Thus, it is believed by some authors he promoted Latin sacred music for use during the eucharistic worship and composed a number of liturgical hymns, among which some twentieth-century scholars number the major Latin Christian hymn of praise, Te Deum, traditionally attributed to Saints Ambrose and Augustine.

Thus, Walpole, by extension, is arguably the forerunner to such authors as Charles Robert Maturin, Ann Radcliffe, Bram Stoker, Edgar Allan Poe and Daphne du Maurier.

Thus began a connection which was to last over twenty years, and which proved most fruitful both for the reputation of the two authors and the prosperity of the minor Paris theatres.

Thus a paper by Cross, Heyworth, Murrell, Bockamp, Dexter and Green, published in the journal Oncogene in 1994 is frequently listed with the authors cited as " Cross, M. A., Heyworth, C. M., Murrell, A. M., Bockamp, E .- O., Cobley, U. T., Dexter, T. M. & Green, A. R .".

Thus, some authors have suggested that the harems seen in the field are juvenile birds and that males are not promiscuous.

" Thus, his claim was that each type, or factor, was independent of the other, though many authors have noted an apparent interdependence of the two.

Thus we see Ercilla appealing to the concept of the " noble savage ," which has its origins in classical authors and took on a new lease of life in the renaissance-c. f.