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 in the three-dice example Af, Af, and the independence assumption imply that the probability that the three dice fall ace, not-ace, ace in that order is Af.

Thus in Mary wrote an account of the trip first strong stress on Mary marks Mary as the first in a series of people who wrote accounts of the trip, strong stress on wrote marks the writing as the first of a series of actions of Mary's concerned with an account of her trip ( about which she may later have made speeches, for example ), and strong stress on trip makes the trip the first of a series of subjects about which Mary wrote accounts.

Thus, in the example cited above Fromm rests his whole case on the premise that the workers are being deprived unconsciously, unknowingly, of fulfillment, and then supports this with survey data reporting conscious, experienced frustrations.

Thus for example Heraclitus ' The Allegorist ' quoted fr. 326 and part of fr. 6, about ships in a storm, in his study on Homer's use of allegory.

Thus for example two separate quotes by Athenaeus were united by Theodor Bergk to form fr. 362.

Thus, for example, V ← V + 1 is commonly understood to be a shorthand for ( V ,( V ) + 1 ).

Thus, for example, fumaroles from the Laguna Caliente crater of Poás Volcano create extremely high amounts of acid rain and fog, with acidity as high as a pH of 2, clearing an area of any vegetation and frequently causing irritation to the eyes and lungs of inhabitants in nearby settlements.

Thus, for example, the English form is is an apparent cognate of German ist, Latin est and Russian < nowiki > jest '</ nowiki >, even though the Germanic, Italic, and Slavic language groups split at least three thousand years ago.

Thus, for example, there are three main isotopes of carbon.

Thus, for example, on the basis of superficial similarities one might suppose that the Latin verb habere and German haben, both meaning ' to have ', were cognates.

Thus, for example, the same equation can be made to produce both a lyrical and melodic piece of music in the style of the mid-nineteenth century, and a fantastically dissonant cacophony more reminiscent of the avant-garde music of the 1950s and 1960s.

Thus, for example, controversies in physics are limited to subject-areas where experiments cannot be carried out yet, whereas Benford's Law implies that controversy is inherent to politics, where communities must frequently decide on courses of action based on insufficient information.

Thus, no two nuclear powers have yet fought a conventional war directly, with the exception of brief skirmishes between for example, China and Russia in the 1969 Sino-Soviet conflict and between India and Pakistan in the 1999 Kargil War.

Thus, for example, the CGS unit of pressure, barye, is related to the CGS base units of length, mass, and time in the same way as the SI unit of pressure, pascal, is related to the SI base units of length, mass, and time:

Thus a line has a dimension of one because only one coordinate is needed to specify a point on it ( for example, the point at 5 on a number line ).

) Thus, for example, a 2x6 rectangle and a 3x4 rectangle are equal but not congruent, and the letter R is congruent to its mirror image.

Thus, for example, Odysseus is represented in Hecuba ( lines 131-32 ) as " agile-minded, sweet-talking, demos-pleasing " i. e. a type of the war-time demagogues that were active in Athens during the Peloponnesian War.

" Thus in the example above, Hecuba presents herself as a sophisticated intellectual describing a rationalized cosmos yet the speech is ill-matched to her audience, Menelaus ( a type of the unsophisticated listener ), and soon it is found not to suit the cosmos either ( her infant grandson is brutally murdered by the victorious Greeks ).

Thus for example two extant plays, The Phoenicean Women and Iphigenia at Aulis, are significantly corrupted by interpolations ( the latter possibly being completed post mortem by the poet's son ) and the very authorship of Rhesus is a matter of dispute.

Thus, while a permit to fill non-federal wetlands might require a permit from a single state agency, larger and more complex endeavors — for example, the construction of a coal-fired power plant — might require approvals from numerous federal and state agencies.

Thus, for example, the funerary god Anubis was portrayed as a jackal, a creature whose scavenging habits threatened the preservation of the body, in an effort to counter this threat and employ it for protection.

Thus, for example, in the ( still used ) local North American subdivision paleontologist finding fragments of the trilobite Olenellus would identify the beds as being from the Waucoban Stage whereas fragments of a later trilobite such as Elrathia would identify the stage as Albertan.

Thus, Hayek put the price mechanism on the same level as, for example, language.

Thus, for example, if we can obtain a decomposition of into a hierarchical composition of functions such that,,, as shown in the figure at right, this would probably be considered a highly valuable decomposition.

Thus, an expanded definition for data warehousing includes business intelligence tools, tools to extract, transform and load data into the repository, and tools to manage and retrieve metadata.

Thus, despot is found to have different meanings and interpretations at various times in history and can not be described by a single definition.

Thus another approach is to incorporate the notion of suffering into the definition.

Thus, it was not until two centuries had passed that in 1872 Karl Weierstrass presented the first definition of a function with a graph that would today be considered fractal, having the non-intuitive property of being everywhere continuous but nowhere differentiable.

However, a second definition and usage has historically been in practice in many fields of computer science and information technology, which defines the prefix kilo when used with byte or bit units of data as 1024 ( 2 < sup > 10 </ sup >); this is due to the mathematical coincidence that Thus, in these fields 1 kilobyte is equal to 1 kibibyte, a new unit standardized as part of the binary prefixes to resolve the ambiguity.

Thus their definition of " liberal " includes the RAND Corporation, a nonprofit research organization with strong ties to the Defense Department.

Thus, any system of policies that benefited one group would by definition harm the other, and there was no possibility of economics being used to maximize the " commonwealth ", or common good.

Thus, each instance has a " master ", or " definition ".

Thus, the original definition was limited to structures of unicellular organisms.

Thus, the 1960 SI definition abandoned any explicit relationship between the scientific second and the length of a day, as most people understand the term.

Thus it broadens the range of sign systems and sign relations, and extends the definition of language in what amounts to its widest analogical or metaphorical sense.

Thus a person who is not or who has ceased to qualify for the benefits afforded by the UN High Commissioner for Refugees, may still qualify for assistance as a refugee by the UNRWA definition.

Thus, by definition, one mole of pure < sup > 12 </ sup > C has a mass of exactly 12 g. It also follows from the definition that X moles of any substance will contain the same number of molecules as X moles of any other substance.

Thus, the legal definition of a narcotic is whether or not it is listed on the Schedules of the Convention.

Thus the definition of " nurture " has expanded to include influences on development arising from prenatal, parental, extended family, and peer experiences, and extending to influences such as media, marketing, and socio-economic status.

Thus the definition of Christian propitiation asserted by Calvin, Packer and Murray holds that within God there is a dichotomy of love and anger, but through propitiation love trumps anger, abolishing it.

Thus, his definition of continuity required an infinitesimal change in x to correspond to an infinitesimal change in y.

Thus, the definition or analysis of " bachelor " is thought to be an unmarried male.

Thus, the new definition of trademark in India broadly encompasses almost all the elements of trade dress under the US law.

Thus, Euthyphro is brought to a realization by this dialectical method that his definition of piety is not sufficiently meaningful.

Thus, the definition of T < sub > 3 </ sub > may cite T < sub > 0 </ sub >, T < sub > 1 </ sub >, or T < sub > 2½ </ sub > instead of T < sub > 2 </ sub > ( Hausdorffness ); all are equivalent in the context of regular spaces.

Thus a definition reflects the ultimate object of our understanding, and is the foundation of all valid inference.