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) Indeed, a triumph of nineteenth century geometry was the proof of the uniformization theorem, the analogous topological classification of smooth two-manifolds, where Hamilton showed that the Ricci flow does indeed evolve a negatively curved two-manifold into a two-dimensional multi-holed torus which is locally isometric to the hyperbolic plane.
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Indeed and triumph
Indeed the period saw the triumph of the pure trouser, or pantaloon, over the cullottes or knee-breeches of the Ancien Regime.
Indeed, Giuseppe Borgatti's triumph in the title part at the first performance immediately propelled him to the front rank of Italian opera singers.
Indeed and nineteenth
Indeed the Republic of Independent Guyana, in French La République de la Guyane indépendante and commonly referred to by the name of the capital " Counani ", was created in the area which was disputed by France ( as part of French Guyana ) and Brazil in the late nineteenth century.
Indeed, in middle to late nineteenth century America, sincerity was an idea reflected in mannerisms, hairstyles, women's dress, and the literature of the time.
Indeed and century
Indeed, contract was the dominant legal theme of the century, the touchstone of the free society.
Indeed most biblical scholarship is in agreement that Judeo-Greco-Roman thought in the 1st century was opposite of the Western world's " individual first " mantra – it was very collectivist or communitarian in nature.
Indeed, at the end of the 19th century scholar Ernest DeWitt Burton wrote that there could be " no reasonable doubt " that 1 John and the gospel were written by the same author, and Amos Wilder has said that, " Early Christian tradition and the great majority of modern scholars have agreed on the common authorship of these writings, even where the author has not been identified with the apostle John.
Indeed, amongst many ancient writers, Moses himself was seen as an Egyptian rather than a Jew, and two manuscripts likely dating to the 4th century, both of which purport to be the legendary eighth Book of Moses ( the first five being the initial books in the Biblical Old Testament ), present him as a polytheist who explained how to conjure gods and subdue demons.
Indeed, " after the first or perhaps the second century, there is not record of it in any Orthodox source, and it is not recorded as occurring even among the great Fathers of the Egyptian desert, who were so filled with the Spirit of God they performed numerous astonishing miracles, including raising the dead ".
Indeed, as Edward Muir points out, “ by the sixteenth century virtually every word, gesture and act that the doge made in public was subject to legal and ceremonial regulation ”.
Indeed, in the 5th century the portrait of the reigning emperor was still honoured this way in the courts of justice and municipal buildings of the empire and in 425 the Arian Philostorgius charged the orthodox in Constantinople with idolatry because they still honored the image of the emperor Constantine the Great, the founder of the city, in this way.
Indeed, the first modernization of Malory's great compilation of Arthur's tales was published shortly after Idylls appeared, in 1862, and there were six further editions and five competitors before the century ended.
Indeed in the 5th century, the region fell to the Vandals, Visigoths, before being recovered by the Romans in rapid succession.
Indeed, even alphabets constructed " from scratch ", i. e. not derived from Semitic, usually have similar forms to represent this sound, e. g. ; the creators of the Afaka and Ol Chiki scripts, each invented in different parts of the world in the last century, both attributed their vowels for ' O ' to the shape of the mouth when making this sound.
Indeed, Farinelli was the most famous singer of the 18th century.
Indeed, it assumed power for several periods in the latter half of the 20th century.
Indeed, induction is sometimes mistaken ; 17th century biologists observed many white swans and none of other colours, but not all swans are white.
Indeed, many arid and semi-arid areas were simply considered unsuitable for agriculture, and agricultural development of these areas was not systematically attempted until the second half of the 20th century.
Indeed, Paracelsus ' laudanum was strikingly different from the standard laudanum of the 17th century and beyond.
Indeed, until the late 20th century, the Governor-General's official attire was the court dress, Windsor uniform or other military uniform.
Indeed, before the seventeenth century the few auctions that were held were sporadic and infrequent.
Indeed, the ducal family of Saxe-Coburg-Gotha had contrived to occupy, either by marriage or by direct election, several European thrones in the course of the 19th century.
Indeed, even as late as the eighteenth century, partbooks labelled ' tenor ' might contain parts for a range of voice types.
Indeed, many operatic works of the 18th century have roles marked as bass that in reality are low baritone roles ( or bass-baritone parts in modern parlance ).
Indeed, in the 19th century, doughnuts were sometimes referred to as one kind of oliekoek ( a Dutch word literally meaning " oil cake "), a " sweetened cake fried in fat.
Indeed, the earliest mentions of eyeglasses in China occur in the 15th century and those Chinese sources state that eyeglasses were imported.
Indeed, as late as the Napoleonic Wars, at the dawning of the 19th century, even the Russian militia ( mostly landless peasants, like the Polish partisans before them ) could be found carrying shortened pikes into battle.
Indeed, the Bois de Boulogne is to this day known as a pick-up place for prostitutes and illicit sexual activity after dark, just as it had been in the 19th century.
Indeed and geometry
Indeed, many of their general philosophical discussions were carried on with extensive reference to geometry and arithmetic.
Indeed the basic concept that is applied in the synthetic presentation of projective geometry, the cross-ratio of four points of a line, was introduced through consideration of the lengths of intervals.
Indeed this was at the heart of his work, on what are now called Lie groups and their accompanying Lie algebras ; and the identification of their role in geometry and especially the theory of differential equations.
Indeed, in Euclid's Elements, the first 28 Propositions avoid using the parallel postulate, and therefore are valid in absolute geometry.
Indeed, in projective geometry a cylindrical surface is just a special case of a conical surface.
Indeed, computations are often carried out on Kähler manifolds using the techniques of algebraic geometry.
Indeed and was
Indeed their achievement scores were somewhat better on an absolute basis although the difference was not significant.
Indeed, there was a woman who, unasked, had already given him love.
Indeed, the administration's curious position on the sales tax was a major factor in contributing to its defeat.
Indeed, mathematically speaking, it was both functionally and symbolically the most important number in the entire diagram.
Indeed, the problem of determining the area of plane figures was a major motivation for the historical development of calculus.
Indeed, his home state of Tennessee ratified the Fourteenth Amendment despite the President's opposition, and was the only seceded state to empower a civil government during Reconstruction.
Indeed, one of the many famous passages of the Inquiry was on the topic of the incorrigibility of human custom.
Indeed, it was said of Abbahu that he was a living illustration of the maxim ( Ecc.
Indeed, when the Myth of Osiris and Isis emerged, it was said that when Osiris had been killed by Set, Osiris ' organs were given to Anubis as a gift.
Indeed, a number of communist students loyal to Meyer moved to the Soviet Union when he was fired in 1930.
Indeed, the final German blitzkrieg operation in the west, Operation Wacht am Rhein, was planned to take place during poor weather which grounded Allied aircraft.
Indeed, Catullus was never considered one of the canonical school authors, although his body of work is on the reading lists for American Ph. D. programs in the classics, and is still taught at secondary school level in the United Kingdom.
Indeed, his mother was illiterate and never recorded the date of his birth, remembering only that he had been born on a Wednesday, eight days before the Feast of the Ascension, which itself occurs 40 days after Easter.
Indeed he was never rich, but he staunchly defended the rights of the monks at St. Catherine's Monastery when he persuaded them eventually to send the manuscript to the Tsar.
Indeed, he was represented as a sun god on Egyptian coins.
Indeed Hilbert would lose his " gifted pupil " Weyl to intuitionism — " Hilbert was disturbed by his former student's fascination with the ideas of Brouwer, which aroused in Hilbert the memory of Kronecker ".
Indeed, it was the thirty years of work done by Thomas Aquinas and himself ( 1245 – 1274 ) that allowed for the inclusion of Aristotelian study in the curriculum of Dominican schools.
Indeed, there was little sense in which the Bahr Negash could be said to " control " the area.
Indeed there was a steady stream of edicts issued from 771 right through the period of Kūkai's studies which, for instance, sought to limit the number of Buddhist priests, and the building of temples.
Indeed, after finishing third in the 1926 season, it was to be 14 years before Essendon would even contest a finals series.
Indeed, reported results of people generating EDIF 3 0 0 translators was that the writers were now much more difficult to get right, due to the great number of semantic restrictions, and the readers are comparatively trivial to develop.
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