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.

Thus, theory and doctrine applicable among the great nations and the smaller European states did not really comfortably fit less developed and less powerful societies elsewhere.

Thus, the binding energy to contain or trap a particle in a smaller region of space, increases without bound, as the region of space grows smaller.

Thus, current expected inflation reflects a weighted average of all past inflation, where the weights get smaller and smaller as we move further in the past.

Thus, a poison that covers surface randomly will tend to reduce the number of uncontaminated large planes but leave proportionally more smaller sites free, thus changing the hydrogenation vs. hydrogenolysis selectivity.

Thus, at the federal level, governments are formed with at least one of the smaller parties.

Thus the probability of two failures in a same RAID group in time proximity is much smaller ( approximately the probability squared, i. e., multiplied by itself ).

Thus the probability of two failures in a same RAID group in time proximity is much smaller ( approximately the probability squared, i. e., multiplied by itself ).

Thus the back wheel of a cart will appear slightly smaller than the front wheel.

Thus, the larger the aperture of the lens, and the smaller the wavelength, the finer the resolution of an imaging system.

In a digital implementation, the number of computations performed per sample is proportional to N. Thus the mathematical problem is to obtain the best approximation ( in some sense ) to the desired response using a smaller N, as we shall now illustrate.

Thus the division form of Euclid's algorithm starts with a pair of positive integers and forms a new pair that consists of the smaller number and the remainder obtained by dividing the larger number by the smaller number.

Thus, r < sub > k </ sub > is smaller than its predecessor r < sub > k − 1 </ sub > for all k ≥ 0.

Thus less energy is needed in the smaller nuclei and the difference to the state before is set free.

Thus, 10 morsels of bread smaller than the size of an olive are traditionally hidden throughout the house in order to ensure that some chametz will be found.

Thus there could be smaller, terrestrial planets orbiting closer to the star.

Thus, while in an ordinary ( finite ) hotel with more than one room, the number of odd-numbered rooms is obviously smaller than the total number of rooms.

Thus each image is more complex, containing more information than it would in a style in which a smaller area is framed ...

Thus the magnitude of the shift is related not to the Compton wavelength of the electron, but to the Compton wavelength of the entire atom, which can be upwards of 10 000 times smaller.

Thus, SPIN explored all of these approaches, and eventually it delivered a very large 28 " diameter fixed disk and also a smaller multi-platter 14 " removable disk-pack system.

Thus the smaller sections of the coil would have floated above the larger sections.

Thus, smaller and poorer countries, such as Ecuador, Honduras, and the Dominican Republic, could implement ISI only to a limited extent.

Thus, the bow room corresponds exactly to the saloon in terms of its importance to the two smaller suites.