Thus, the combined efficiency of the elements replaced by the two fiber plates ( with a combined efficiency of 0.25 ) is 0.043 or about six times less than that of the two fiber plates.

Thus if the universe is hot enough ( approximately 10 < sup > 15 </ sup > K, a temperature exceeded until shortly after the Big Bang ) then the electromagnetic force and weak force will merge into a combined electroweak force.

Thus in March 1979 Colonel Muammar Gaddafi, who kept absolute power ( until his overthrow in 2011 referred to as " Guide of the Revolution "), after ten years as combined Head of State and Head of government of the Libyan Jamahiriya (" state of the masses "), styled Chairman of the Revolutionary Command Council, formally transferred both qualities to the General secretaries of the General People's Congress ( comparable to a Speaker ) respectively to a Prime Minister, in political reality both were his creatures.

Thus three major themes in 19th century mathematics were combined by Lie in creating his new theory: the idea of symmetry, as exemplified by Galois through the algebraic notion of a group ; geometric theory and the explicit solutions of differential equations of mechanics, worked out by Poisson and Jacobi ; and the new understanding of geometry that emerged in the works of Plücker, Möbius, Grassmann and others, and culminated in Riemann's revolutionary vision of the subject.

Thus there was no such thing as combined planning of the different services.

Thus explanations of a sort are provided for the astrological effects of the planets, based upon their combined effects of heating, cooling, moistening, and drying.

Thus, one had a theory which combined gravity, quantization and even the electromagnetic interaction, promising ingredients of a fundamental physical theory.

Thus the existing system for measuring distance, combined with a memory capacity to see where the target last was, is enough to measure speed.

Thus, it was Gibbs who first combined the first and second laws of thermodynamics by expressing the infinitesimal change in the energy a system in the form:

Thus Offa's Dyke is a combined structure and Car Dyke is a trench though it once had raised banks as well.

Thus the combined size of all the instructions needed to perform a particular task, the code density, was an important characteristic of any instruction set.

Thus, all three series are set in the same universe, giving them a combined length of 15 novels, and a total of about 1, 500, 000 words.

Thus, when meteoroids meet the Earth's atmosphere head-on ( which would only occur if the meteors were in a retrograde orbit ), the combined speed may reach about 44 miles per second ( 71 kilometers per second ).

Thus, all measured nakhlites give essentially identical CRE ages of approximately 11 Ma, which when combined with their possible identical formation ages indicates ejection of nakhlites into space from a single location on Mars by a single impact event.

Thus, the Greek god of interpretive communication was combined with the Egyptian god of wisdom as a patron of astrology and alchemy.

Thus, a legacy switch system can be easily " converted " to allow wavelength multiplexed transport over a fiber simply by judicious choice of transceiver wavelengths, combined with an inexpensive passive optical multiplexing device.

Thus, some gluten-free diets are combined with casein-free diets and referred to as a gluten-free, casein-free diet.

Thus negi and tofu, a strongly flavored ingredient mixed with a delicately flavored ingredient, are often combined.

Thus the Presbyterians of the north, who were mainly republican in sentiment, combined with a section of the Roman Catholics to form the United Irishmen organisation, promoting revolutionary ideas imported from France ; and a party prepared to welcome a French invasion soon came into existence.

Thus the relatively small amount of network color programming, combined with the high cost of color television sets, meant that as late as 1964 only 3. 1 percent of television households in the U. S. had a color set.

Thus Offa's Dyke is a combined structure and Car Dyke is a trench, though it once had raised banks as well.

Thus, Chiang had sent a large number of troops into positions in which they could neither defend properly, without the combined support of the army, nor defend with any real purpose, setting the stage for the last great struggle of the Warlord Era.

Thus it is important to remember that the favorable economic position of households in the top two quintiles is in some cases the result of combined income, rather than demand for a single worker.

( Thus, for example, Smith's justification for believing that the person who will get the job has ten coins in his pocket is his justified belief that Jones will get the job, combined with his justified belief that Jones has ten coins in his pocket.

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

Thus all differences were leveled, and all contrasts erased, in a realm of no distinction, and the harmonious balance of the Lo Shu square could effectively symbolize the world in balanced harmony around a powerful central axis.

Thus, central to Zoroastrianism is the emphasis on moral choice, to choose between the responsibility and duty for which one is in the mortal world, or to give up this duty and so facilitate the work of druj.

Thus, a central conclusion of Keynesian economics is that, in some situations, no strong automatic mechanism moves output and employment towards full employment levels.

Thus, the attack on the Soviet Union ( which together with Germany had partitioned central Europe in 1939 – 1940 ) was not pressed with sufficient strength.

Thus, Regensburg was one of the central towns of the Empire, attracting visitors in large numbers.

Thus, starting from 1817, the central Merina kingdoms, Betsileo, Bezanozano, and Sihanaka, unified by Radama I was known to the outside world as the Kingdom of Madagascar.

Thus the contest was joined on the central issue which was to dominate all American history for the next dozen years, the disposition of the Territories.

Thus the long and exciting discussion touching the removal of Williams College and the location of a college in some more central town of old Hampshire County at length came to an end, and the contending parties now directed all their energies to building up the institutions of their choice.

Thus, the presence of a central vacuole in its cells enables a prolonged survival in sulfidic sediments.

Thus, the Maasai, according to their own oral history, migrated south from the lower Nile valley north of Lake Turkana in about the 15th century, arriving in a long trunk of land stretching from what is now northern Kenya to what is now central Tanzania during the 17th and 18th centuries.

Thus according to the central limit theorem, we can model jitter as a gaussian random variable.

Thus, Perseus's descendants played a central role in the Homeric epics and the pre-history of Greece.

Thus, some scholars have suggested that this may have been intended to signify the absence of a central authority in Kish for a time.

Thus the Lingnan language began to develop more significant differences with central Chinese.

Thus, contrasted with a carillon, in which a large number of bells are struck by hammers, all tied in to a central framework so that one carillonneur can control them all, a set of such bells is comparatively unwieldy — hence the emergence of permutations rather than melody as an organizing principle.

Thus, in 1808 he was placed by Napoleon upon the council of the Imperial University, and in this capacity he presided ( in the years 1809, 1811 and 1813 ) over commissions charged to examine the state of the higher educational establishments in the districts beyond the Alps and the Rhine which had been annexed to France, and to report upon the means by which these could be affiliated with the central university.

Thus Cologne's central location on the Rhine river placed it at the intersection of the major trade routes between east and west and was the basis of Cologne's growth.

Thus AGN-like characteristics are expected whenever a supply of material for accretion comes within the sphere of influence of the central black hole.

Thus, based on the fueros and their Statute of Autonomy, Basques have their own police body and manage their own public finances with virtually no intervention from the central government of Spain.

Thus is contradicted by the Aboriginal people of central Australia, who knew it well and reported that if disturbed, it was capable of running with considerable speed by breaking into a smooth, galloping sprint.

Thus Paris closed its central churchyards and relocated its burials during the Napoleonic period, creating cemeteries such as Père Lachaise.

Thus the central business district of a North American city, or the historical core of the city, is often the " down " part of the city.

Thus many buildings which once had a central pulpit now have a pulpit to the side.