Thus even if the macro "" is not defined to signify non-ANSI compliance, "" will work as shown.

Thus, a database and its supporting DBMS are defined here by a set of general requirements listed below.

Thus, while D-Cinema is a defined standard, though one that is still partly being framed by SMPTE as of 2007, E-Cinema may be anything, ranging from a DVD player connected to a consumer projector to something that approaches the quality of D-Cinema without conforming to some of the standards.

But this group found it increasingly difficult to prove that they were not labourers because the 1882 act defined excludables as ‘ skilled and unskilled labourers and Chinese employed in mining .’ Thus very few Chinese could enter the country under the 1882 law.

Thus to Ayer, philosophy is defined as a wholly analytic task, and as a compilation of " in-use " definitions.

Thus, a federal district court that falls within the geographic boundaries of the Third Circuit Court of Appeals is bound by rulings of the Third Circuit Court, but not by rulings in the Ninth Circuit, since the Circuit Courts of Appeals have jurisdiction defined by geography.

Thus talk about physical probability makes sense only when dealing with well defined random experiments.

Thus using as defined above a Scheme implementation would rewrite "" as "", which reduces implementation's task to that of coding procedure instantiations.

Thus we placed our energies at the disposal of the revolution, of the proletariat and its struggles, and defined our attitude towards the colonial problem, and hence towards the colour question.

Thus, the fundamental frequency of most speech falls below the bottom of the " voice frequency " band as defined above.

Thus the primatial privileges of the See of Arles were upheld as Leo I had defined them.

Thus, the original meaning of anomie defined anything or anyone against or outside the law, or a condition where the current laws were not applied resulting in a state of illegitimacy or lawlessness.

Thus, as defined by the offset-binary representation, in order to get the true exponent the exponent bias of 1023 has to be subtracted from the written exponent.

Thus, if V < sub > g </ sup > is the group velocity of a phonon wave packet, then the relaxation length is defined as:

Thus the curvature of a circle is defined to be the reciprocal of the radius:

Thus, the example of a definition of oak given above ( something that has catkins and grows from acorns ) is not completely useless, even if " acorn " and " catkin " are defined in terms of " oak ", in that it supplies additional concepts ( e. g., the concept of catkin ) in the definition.

Thus the history of English military law up to 1879 may be divided into three periods, each having a distinct constitutional aspect: ( I ) prior to 1689, the army, being regarded as so many personal retainers of the sovereign rather than servants of the state, was mainly governed by the will of the sovereign ; ( 2 ) between 1689 and 1803, the army, being recognized as a permanent force, was governed within the realm by statute and without it by the prerogative of the crown and ( 3 ) from 1803 to 1879, it was governed either directly by statute or by the sovereign under an authority derived from and defined and limited by statute.

Thus the newsprint rolls used are defined by the width necessary to print four front pages.

Thus the full dictionary does not need be sent with the encoded data ; just the initial dictionary containing the single-character strings is sufficient ( and is typically defined beforehand within the encoder and decoder rather than being explicitly sent with the encoded data.

Thus Pennsylvania's southern boundary as defined in its charter was contradictory and unclear.

Thus, a view could in effect be a new relational operator defined in terms of the existing operators.

Thus, in the West, the notion of ethnicity, like race and nation, developed in the context of European colonial expansion, when mercantilism and capitalism were promoting global movements of populations at the same time that state boundaries were being more clearly and rigidly defined.

Thus time is defined via measurement-by its standard time interval.

Thus, similar to the definition of other fundamental quantities ( like time and mass ), space is defined via measurement.

Thus Faulkner reminds us, and wisely, that the `` new '' South has gradually evolved out of the Old South, and consequently its agrarian roots persist.

Thus a new pattern of days began to develop, for Granny Albright did not die.

Thus in a context in which there has been discussion of snow but mention of local conditions is new, dominant stress will probably be on here in it rarely snows here, but in a context in which there has been discussion of local weather but no mention of snow, dominant stress will probably be on snows.

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 events occurred, and victims changed in appearance, and new ones arrived.

Thus, there was seen a need for a new law that would ensure the continuance of the succession following the death of the last legal heir under the Bill of Rights, being Princess Anne, guaranteeing the line of succession would continue in the Protestant line, and excluding any possible claims by the deposed James II or his son and daughter, James Francis Edward and Louisa Maria Teresa Stuart.

Thus, during the abdication crisis of 1936, caused by Edward VIII's desire to marry Wallis Simpson, the consent of all realms concerned, along with, in some cases, new acts of parliament, was required in Britain and throughout the British Dominions to allow for Edward's stepping aside and to ensure that if he had any children they would have no claim to the thrones.

Thus, the new charter changed the manner in which the military could exercise its moderating power.

They write: " Thus, according to that alternate rendering, the new birth originates ' from above '— that is, ' from heaven ,' or ' from the Father.

Thus, computational chemistry can assist the experimental chemist or it can challenge the experimental chemist to find entirely new chemical objects.

Thus was born a new type of beef cattle for Central Brazil, with the name CANCHIM, derived from the name of a tree very common in the region where the breed was developed.

Thus, instead of streamlining the system, Gorbachev's decentralization caused new production bottlenecks.

Thus, if n < sub > r </ sub > is the average number of times a new civilization reappears on the same planet where a previous civilization once has appeared and ended, then the total number of civilizations on such a planet would be ( 1 + n < sub > r </ sub >), which is the actual reappearance factor added to the equation.

Thus, the new classicals assume that prices and wages adjust automatically to attain full employment, whereas the new Keynesians see full employment as being automatically achieved only in the long run, and hence government and central-bank policies are needed because the " long run " may be very long.

Thus the aim developed, to provide a new time scale for astronomical and scientific purposes, to avoid the unpredictable irregularities of the mean solar time scale, and to replace for these purposes Universal Time ( UT ) and any other time scale based on the rotation of the Earth around its axis, such as sidereal time.

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, the responsibility for its administration is transferred from the War Office to the new Colonial Office.

Thus, there was a short-lived eleventh century attempt to re-establish an independent Galatia by native Galatians whose aristocracy and people appealed to Anglo-Saxon and Russo-Norman mercenaries of the Byzantine Varangian Guard and Frankish Crusaders alike in establishing a new kingdom.

Thus, the state required service from both the old and the new nobility, primarily in the military.

" 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 the ceremony held at the site of the demolished Bastille, organized by the foremost artistic director of the Revolution, Jacques-Louis David, in August 1793 to mark the inauguration of the new republican constitution, an event coming shortly after the final abolition of all forms of feudal privilege, featured a cantata based on Rousseau's democratic pantheistic deism as expounded in the celebrated " Profession de foi d ' un vicaire savoyard " in Book Four of Émile.

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 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.