Thus in independent voting, Af or 0.52 of the couples would agree.

Thus, the Debian Project is an independent decentralized organization ; it is not backed by a company like Linux distributions such as Ubuntu, openSUSE, Fedora, and Mandriva.

Thus, there was a short-lived eleventh century attempt to re-establish an independent Galatia by native Galatians whose aristocracy and people appealed to Anglo-Saxon and Russo-Norman mercenaries of the Byzantine Varangian Guard and Frankish Crusaders alike in establishing a new kingdom.

Thus, freethinkers strive to build their opinions on the basis of facts, scientific inquiry, and logical principles, independent of any logical fallacies or intellectually limiting effects of authority, confirmation bias, cognitive bias, conventional wisdom, popular culture, prejudice, sectarianism, tradition, urban legend, and all other dogmas.

Thus the Syrian Mandate provided that the government should be based on an organic law which should take into account the rights, interests and wishes of all the inhabitants, and that measures should be enacted “ to facilitate the progressive development of Syria and the Lebanon as independent States ”.

Thus materialism has no definite content independent of the particular theory of matter on which it is based.

Thus, each Sumerian city became a city-state, independent of the others and protective of its independence.

Thus the observed radiation density ( the sky brightness of extragalactic background light ) can be independent of finiteness of the Universe.

Thus, for Christians, Christ himself is the only high priest, and Christians have no priesthood independent or distinct from participation in the priesthood of Christ, the head of the Church.

Thus, Rajaratnam believed that maintaining a balance of power, rather than becoming a de-facto vassal of some larger power, would provide Singapore with freedom to pursue an independent foreign policy.

Thus if an event or its complement almost surely occurs, it is independent of itself.

Thus he set up an ecclesiastical organisation independent of the German archbishops.

Thus there are two unknowns ( albedo and size ), which can be determined by two independent measurements ( of the amount of reflected light and emitted infrared heat radiation ).

Thus, they have no legal existence independent from the trustee and his or her ownership of the subject matter of the trust.

Thus, Zurich became the fifth member of the Confederacy, which was at that time a loose confederation of de facto independent states.

Thus a social fact is dependent on other social facts, but because each is only dependent on and reducible to other social facts, it is independent of and irreducible to psychological or biological factors.

Thus a computer instantiating the ' conversation for action ' has the useful ability to model the status of the current social reality independent of any external reality on which social claims may be based.

Thus, when the hostilities finally ceased in 1648 with the Treaty of Westphalia, most of Alsace went to France with some towns remaining independent.

Thus the money supply function is represented as a vertical line-money supply is a constant, independent of the interest rate, GDP, and other factors.

Thus in 1949, when the rest of the Dutch East Indies became fully independent as Indonesia, the Dutch retained sovereignty over western New Guinea, and took steps to prepare it for independence as a separate country.

Thus SCADA systems were independent systems with no connectivity to other systems.

Thus the demons could variously be thought to be independent spirits or spirits of sorcerers flying around.

Thus, these flies have evolved functionally redundant machinery, which is independent of the centrosomes.

Thus does the corporate mandate to put lipstick on the pig prevail over the academic duty to communicate independent analyses of the data.

Thus even transverse pairs of wheels in an independent suspension are usually called " an axle ".

Thus, to cite but one example, the Pax Britannica of the nineteenth century, whether with the British navy ruling the seas or with the City of London ruling world finance, was strictly national in motivation, however much other nations ( e.g., the United States ) may have incidentally benefited.

Thus, Margenau remarks: `` A large number of unrelated epicycles was needed to explain the observations, but otherwise the ( Ptolemaic ) system served well and with quantitative precision.

Thus, the Church was born and because of its intrinsic character was soon identified as a conservative institution, determined to resist the forces of change, to identify itself with the political rulers, and to maintain a kind of splendid isolation from the masses.

Thus, when the Russians sent up their first sputnik, American chagrin was human enough, and American determination to put American satellites into orbit was perfectly understandable.

Thus, a finding of conspiracy to restrain trade or attempt to monopolize was excluded from the Court's decision.

Thus, in the last few years, a number of programs which looked very promising at the time their development was commenced have since been completely eliminated.

Thus was invented the single thread sewing machine, which Mr. Gibbs in partnership with Mr. Willcox decided to bring to Brown & Sharpe with the proposal that the small company undertake its manufacture.

Thus it was that Barco, apprehended for mere larceny, now began to suspect that one or another of his murders had been uncovered.

Thus, the energy transferred from the arc to the anode was partly fed back into the arc.

Thus, the dotted line shown in figure 4 was taken as typical for the temperature distribution for all blowing rates.

Thus, the Span of its ossification was shortened and the center's ability to `` catch up '' in ossification is demonstrated.

Thus to has light stress both in that was the conclusion that I came to and in that was the conclusion I came to.

Thus the Congress marks a formal recognition of the political system that was central to world politics for a century.

Thus, in the immemorial way -- in the way of the right hand that knows and the left that does not -- was the stage set for tragedy at Bari.

Thus at the same time that William Henry Harrison was preparing to pacify the aborigines of Indiana Territory and winning fame at the battle of Tippecanoe, Anglo-Saxon settlement made a great leap into the center of the North American continent to the west of the American agricultural frontier.

Thus, when Dartmouth's Winter Carnival -- widely recognized as the greatest, wildest, roaringest college weekend anywhere, any time -- was broadcast over a national television hookup, Prexy John Sloan Dickey appeared on the screen in rugged winter garb, topped off by a tam-o'-shanter which he confessed had been acquired from a Smith girl.

Thus when Premier Khrushchev intimated even before inauguration that he hoped for an early meeting with the new President, Mr. Kennedy was confronted with a delicate problem.

Thus `` America '', the most widely sung of the patriotic songs, was written by a New England Baptist clergyman, Samuel Francis Smith ( 1808-1895 ), while a student in Andover Theological Seminary.

Thus, the Mahayana metaphysic of mystical union for salvation was distilled down to a bare self-seeking, and for this reason, the mystic in Asia did not long remain in isolated contemplation.

Thus there was really an excess of eighteenth-century charm as one of these light-weight pieces followed another on Saturday night.

Thus, the masculine animate infinitive dabhumaksanigalu'ahai, meaning to live, was, in the perfect tense, ksu'u'peli'afo, and, in the future, mai'teipa.

Thus, the planetary model of the atom was discarded in favor of one that described atomic orbital zones around the nucleus where a given electron is most likely to be observed.