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 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.

This latter construal is sometimes expressed by saying " there is no fact of the matter as to whether or not P ." Thus, we may speak of anti-realism with respect to other minds, the past, the future, universals, mathematical entities ( such as natural numbers ), moral categories, the material world, or even thought.

Thus it was the Aeginetans who, within 30 or 40 years of the invention of coinage in Asia Minor by the Ionian Greeks or the Lydians ( c. 630 BC ), introduced coinage to the Western world.

Thus, a heretic bearing the name of Sason (= Joy ) once remarked to him, " In the next world your people will have to draw water for me ; for thus it is written in the Bible ( Isaiah 12: 3 ), ' With joy shall ye draw water.

Thus the world would be seen as " what is among the ground and the sky ", and " Blissymbols " would be seen as " the writing tool to express the world ".

In his fictional historical essay " The Hyborian Age ", Howard describes how the people of Atlantis — the land where his character King Kull originated — had to move east after a great cataclysm changed the face of the world and sank their island, settling where Ireland and Scotland would eventually be located, Thus they are ( in Howard's work ) the ancestors of the Irish and Scottish ( the Celtic Gaels ) and not the Picts, the other ancestor of modern Scots who also appear in Howard's work.

Thus, according to Lutz, doublespeak is a form of language that defeats the purpose of inventing language because doublespeak does not communicate the truth but seeks to do the opposite and the doublespeak committee is tasked with correcting this problem that doublespeak has created in the world of language.

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, in Alaska, Eskimo is in common usage, and is the preferred term when speaking collectively of all Inupiat and Yupik people, or of all Inuit and Yupik people throughout the world.

Thus, if rainfall amounts and intensities increase in many parts of the world as expected, erosion will also increase, unless amelioration measures are taken.

Thus Galen summarised and synthesised the work of his predecessors, and it is in Galen's words ( Galenism ) that Greek medicine was handed down to subsequent generations, such that Galenism became the means by which Greek medicine was known to the world.

Thus in the physical world it is difficult to give examples of numbers that compare to the vastly greater googolplex.

" Thus irreal works such as Italo Calvino's Cosmicomics and Jorge Luis Borges ' Ficciones can be seen as an attempt to find a new allegorical language to explain our changed perceptions of the world that have been brought about by our scientific and technical culture, especially concepts such as quantum physics or the theory of relativity.

Thus, Nehru came to be seen as a champion of freedom and democracy all over the world.

Thus, " the onus of being the last ' People of the Book ' engendered an ethos of " early on and the establishment of important book repositories throughout the Muslim world has occurred ever since.

Thus, engaging in the commercial world is a legitimate means to achieving a livelihood, but individuals should participate in modern society as little as possible.

Thus we can conceive of a “ noumenal ” world ( noumenal meaning " object of thought ") which exists only as a heuristic for our cognitive capacities and not as something directly accessible to experience.

Thus, in place of God's role as guarantor of the coherence of the world, Kant posits a faculty of reason structured by the forms of our intuition ( our sense of time and space ) and the categories of our understanding ( like the notion of cause and effect ).

Thus panentheism separates itself from pantheism, positing the extra claim that God exists above and beyond the world as we know it.

Thus republicanism entered our Romanic / Germanic world .... Up to this point, the conviction had prevailed in Europe that monarchy best served the interests of the nation.

Thus ducks belong to both the upper world and the world below.

Thus the Af are projections which correspond to some direct-sum decomposition of the space V.

Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.

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.

In mathematics, an associative algebra A is an associative ring that has a compatible structure of a vector space over a certain field K or, more generally, of a module over a commutative ring R. Thus A is endowed with binary operations of addition and multiplication satisfying a number of axioms, including associativity of multiplication and distributivity, as well as compatible multiplication by the elements of the field K or the ring R.

Thus, the vector space B ( X, Y ) can be given the operator norm

By a theorem of Gelfand and Naimark, given a B * algebra A there exists a Hilbert space H and an isometric *- homomorphism from A into the algebra B ( H ) of all bounded linear operators on H. Thus every B * algebra is isometrically *- isomorphic to a C *- algebra.

Thus, the material body will occupy different configurations at different times so that a particle occupies a series of points in space which describe a pathline.

Thus, the most stable configuration of nuclei and electrons is one in which the electrons spend more time between nuclei, than anywhere else in space.

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 a representation that compresses a 10MB file to 2MB would yield a space savings of 1-2 / 10 =

Thus, a field due to any particular particle or time-varying electric or magnetic field contributes to the fields present in the same space due to other causes.

Thus, actual address space utilization rates will be small in IPv6, but network management and routing efficiency is improved by the large subnet space and hierarchical route aggregation.

Thus, we might as well treat that eigenspace as the actual Hilbert space of the system.

Thus Euclidean geometry corresponds to the choice of the group E ( 3 ) of distance-preserving transformations of the Euclidean space R < sup > 3 </ sup >, conformal geometry corresponds to enlarging the group to the conformal group, whereas in projective geometry one is interested in the properties invariant under the projective group.

This identifies the tangent space T < sub > e </ sub > at the identity with the space of left invariant vector fields, and therefore makes the tangent space at the identity into a Lie algebra, called the Lie algebra of G, usually denoted by a Fraktur Thus the Lie bracket on is given explicitly by = < sub > e </ sub >.

Within the space of these tendencies there has developed a coherent critique of " orthodox Marxism " that includes not only a rejection of the concept of " the transition " but a reconceptualization of the process of transcending capitalism that has remarkable similarities to ( Peter ) Kropotkin's thinking on this subject ... Thus one of the earliest political tendencies within which this approach appeared after the Russian revolution of 1917 was that of " Council Communism " which saw the " workers councils " in Germany ( see Bavarian Soviet Republic ), or the soviets in Russia, as new organizational forms constructed by the people.

Thus, special relativity " mixes " electricity and magnetism into a single, inseparable phenomenon called electromagnetism, analogous to how relativity " mixes " space and time into spacetime.

Thus it made sense to not map the memory between programs for IPC, but instead migrate the program code being used into the local space of the program.

" Thus, it is She who becomes the time and space, the cosmos, it is She who becomes the five elements, and thus all animate life and inanimate forms.