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Thus there came about the research for " Le problème de Cauchy pour les équations différentielles d ' un fluide général "; the idea that Prof. Hironaka called " the Nash blowing-up transformation "; and those of " Arc Structure of Singularities " and " Analyticity of Solutions of Implicit Function Problems with Analytic Data ".
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Thus and there
Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.
Thus, there has come into being a situation in which the state must raise all of its own revenues and, in addition, must give assistance to its local governments.
Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.
Thus it is reasonable to believe that there is a significant difference between the two groups in their performance on this task after a brief `` structuring '' experience.
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 there was really an excess of eighteenth-century charm as one of these light-weight pieces followed another on Saturday night.
Thus although most species in the order are herbaceous, some no more than 15 cm high, there are a number of climbers ( e. g. some species of Asparagus ), as well as several genera forming trees ( e. g. Agave, Cordyline, Yucca, Dracaena ), some of which can exceed 10 m in height.
Thus the negation of the axiom of choice states that there exists a set of nonempty sets which has no choice function.
Thus, before the modern assembly line took shape, there were prototypical forms in various industries, as outlined below.
For every group G there is a natural group homomorphism G → Aut ( G ) whose image is the group Inn ( G ) of inner automorphisms and whose kernel is the center of G. Thus, if G has trivial center it can be embedded into its own automorphism group.
Thus, almost all positive integers are composite ( not prime ), however there are still an infinite number of primes.
" Thus Ambrose refused to be drawn into a false conflict over which particular local church had the " right " liturgical form where there was no substantial problem.
Thus he maintained that there must be blackness as well as whiteness in snow ; how otherwise could it be turned into dark water?
Thus, if every historian were to claim that there was a solar eclipse in the year 1600, then though we might at first naively regard that as in violation of natural laws, we'd come to accept it as a fact.
According to the Christian doctrine of Universal Reconciliation, the Greek New Testament scriptures use the word " eon " to mean a long period ( perhaps 1000 years ) and the word " eonian " to mean " during a long period "; Thus there was a time before the eons, and the eonian period is finite.
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, services could be moved to a different machine and, so long as they kept the same service name, there was no need for users to do anything different to continue accessing the service.
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 and came
Thus the films seen as they came in ( coordinated for the regular sections ), were often out of context.
Thus to has light stress both in that was the conclusion that I came to and in that was the conclusion I came to.
Thus, over time, the expression " a cappella " ( Italian for " in the manner of the chapel ") came to mean exclusively vocal music in contradistinction to the spreading use of the organ in cathedrals.
" Thus the work on the house of God in Jerusalem came to a standstill until the second year of the reign of Darius king of Persia.
Thus the castrati came to supplant both boys ( whose voices broke after only a few years ) and falsettists ( whose voices were weaker and less reliable ) from the top line in such choirs.
Thus, that year ( 501 BC ), Confucius came to be appointed to the minor position of governor of a town.
Thus, the ship Cirne of the captain Diogo Fernandes Pereira, came into view of Réunion island on 9 February 1507.
Thus a treaty of protection was signed in 1602 with Pope Clement VIII, which came into force in 1631.
That word came from imbarrare, " to block " or " to bar ", which is a combination of in -, " in ", with barra, " bar " ( from the Vulgar Latin barra, which is of unknown origin ).< sup > 11 </ sup > The problem with this theory is that the first known usage of the word in Italian was by Bernardo Davanzati ( 1529 – 1606 ), long after the word had entered Spanish .< sup > 12 </ sup > Thus, modern scholars believe that the Italian word actually came from the Spanish one .< sup > 13 </ sup >
Thus Norman came into use as a language of polite discourse and literature, and this fundamentally altered the role of Old English in education and administration, even though many Normans of the early period were illiterate and depended on the clergy for written communication and record-keeping.
Thus, people came to use the phrase " cultural relativism " erroneously to signify " moral relativism.
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, what came out in the media: from newspapers, magazines, TV, and the movies, was a product of the stereotypes of the 30s and 40s — though garbled — of a cross between a 1920s Greenwich Village bohemian artist and a Bop musician, whose visual image was completed by mixing in Daliesque paintings, a beret, a Vandyck beard, a turtleneck sweater, a pair of sandals, and set of bongo drums.
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