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, dark blue jerseys, were introduced with white shorts and the red socks of 1908.

Thus, on a real computer display, each pixel is actually composed of separate red, green, and blue subpixels.

Thus, the red plane shows the points with x = 1, the blue plane shows the points with z = 1, and the yellow plane shows the points with y =− 1.

Thus, ice appears blue, with a slightly greener tint than for liquid water.

Thus, certain color contrasts may look fuzzier than others, depending on the allocation of the primary colors ( green has twice as many elements as red or blue in the Bayer arrangement ).

Thus George, tree, tall and blue are examples of well formed constant symbols.

Thus integration by parts may be thought of as deriving the area of the blue region from the total area and that of the red region.

Thus, they appear sky-blue ( caesius is Latin for pale blue ).

Thus a blue filter makes the picture look blue.

Thus, the flags of the United States, Australia and the United Kingdom might be described as tricolours, while the flag of India ( which has a blue charge in the centre ) would not.

Thus, east is red, north is white, west is black, south is yellow, sky is blue, earth is green and the center is clear ( Thompson 1965 ).

Thus, Aristea ( approximately 56 species ), which has radially symmetric, mostly blue flowers, has three different pollination systems, whereas Sparaxis ( 15 species ), with both zygomorphic and secondarily radially symmetric flowers, in a variety of colors, exhibits five different pollination systems, and Gladiolus, with a similar array of floral types but over two hundred species, exploits seven different pollination systems, some of which have evolved multiple times.

Thus, her successor, Eric of Pomerania used a coat of arms quartered between the coats of arms of Denmark ( three blue lions on a golden shield ), Norway ( a golden lion with an axe on a red shield ) and Sweden ( a golden lion on blue and white wavy stripes ) plus the union mark with the three golden crowns on a blue shield, which is also the case for the following union Kings in the 15th century.

Thus, they were able to discriminate between gray and blue backgrounds, showing their capability for color vision.

Thus, " the sky is blue " ( and all other actually true propositions ) is logically possible: there exists some logically coherent way for the world to be such that it is true, viz., the way that the world actually is.

Thus, after 1864, the plain blue ensign is permitted to be worn, instead of the Red Ensign, by two categories of civilian vessel:

Thus, the angle θ does not change as its apex point is moved around on the circle ( green, blue and gold angles ).

Thus, the TRE is now shown as a dark blue line on DART maps.

Thus, instead of having a " warrior ", " wizard ", and " valkyrie " ( for instance ), in Gauntlet II there could be a " red wizard ", a " blue elf " and a " green warrior ".

Thus, blue is said to be out of gamut.

Thus in areas where blue mussels are threatened, such as the Wadden Sea, it is of great importance to enhance the survival of mussel fields, of which mussel aggregates are the primary component.