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 ".

Thus, since the end of 2000, the newspaper's employees and readers retain 49 % of Le Monde diplomatique SAs capital, largely above the control stock necessary to control the direction and editorial line of the Monde diplo.

Thus, the two staged numbers Le Jazz Hot and The Shady Dame from Seville help to present Victoria as a female impersonator.

Thus, the newspaper Le Christ républicain ( The Republican Christ ) developed the idea of the Christ bringing forth peace to the poor and war to the rich.

Thus the Flyers hurriedly moved their next home game ( against the Oakland Seals ) to Madison Square Garden in New York followed by a meeting with the Boston Bruins played at Maple Leaf Gardens in Toronto before establishing a base at Le Colisée in Quebec City, home of their top minor league team, the AHL Quebec Aces, for the remainder of their regular season, marking the first NHL games in Quebec City in over four decades, and years before the Quebec Nordiques joined the NHL.

Thus, he reasoned that existence must be due to an agent cause that necessitates, imparts, gives, or adds existence to an essence.

Thus the determinant gives the scaling factor and the orientation induced by the mapping represented by.

Thus, with a bus frequency of 100 MHz, DDR SDRAM gives a maximum transfer rate of 1600 MB / s.

Thus the second experiment gives us 8 times as much precision for the estimate of a single item, and estimates all items simultaneously, with the same precision.

Thus, the conservation of electric charge, as expressed by the continuity equation, gives the result:

Thus, measuring a quantum state described by complex coefficients ( a, b ,..., h ) gives the classical probability distribution and we say that the quantum state " collapses " to a classical state as a result of making the measurement.

Thus, substituting y with a function of x gives:

f. Thus, every pair of ( mutually ) inverse elements gives rise to two idempotents, and ex

Thus, the ratio of marginal utilities gives the absolute value of the slope of the indifference curve at point.

Thus the Elohist describes Balaam constructing giving two blessings, making sacrifices on seven altars, at the high places of Baal, before each, then deciding not to seek enchantments after the third set of sacrifices, but to set his face upon the wilderness, which Balak views as a third blessing, and so Balaam then gives the three final predictions of fate.

) Thus there is a unitary freedom in the ket mixture or ensemble that gives the same density operator.

Thus, treatment of concentrated solutions of ammonium salts with strong base gives ammonia.

Thus, the innermost purpose of the creation of all rational beings is their cognition of the existence of Allah and, hence, their conscious willingness to conform their own existence to whatever they may perceive of His will and plan: and it is this twofold concept of cognition and willingness that gives the deepest meaning to what the Quran describes as " worship ".

Thus, the relative difference in velocity between a source and an observer is what gives rise to the doppler effect.

John Lemprière, in Bibliotheca Classica, notes that as the story was re-told in later versions it accumulated details from the stories of Noah and Moses: " Thus Apollodorus gives Deucalion a great chest as a means of safety ; Plutarch speaks of the pigeons by which he sought to find out whether the waters had retired ; and Lucian of the animals of every kind which he had taken with him & c ."

Thus, she carries and gives birth to a child that is she not the biological mother of.

Porro prism designs have the added benefit of folding the optical path so that the physical length of the binoculars is less than the focal length of the objective and wider spacing of the objectives gives a better sensation of depth. Thus, the size of binoculars are reduced.

Thus, finding the virus by various methods in the dog's conjunctival cells gives a definitive diagnosis.

Thus Latin facere gives Spanish hacer () ( or, in some parts of southwestern Andalusia, ).

Thus Vamana places his foot on King Mahabali's head and gives him immortality for his benevolence.

Thus Venus ' synodic period, which gives the time between two subsequent eastern ( or western ) greatest elongations, is 584 days.

Thus, profane space gives man no pattern for his behavior.

Thus, although the ketose fructose is not strictly a reducing sugar, it is an alpha-hydroxy-ketone, and gives a positive test because it is converted to the aldoses glucose and mannose by the base in the reagent.

Thus they ended up on opposite sides in the conflict, as regional stability gives way to national discord and social breakdown, and the war begins to quite literally tear families apart.

Thus a more detailed analysis of the bubble's motion is needed beyond Rayleigh-Plesset to explore the additional energy focusing that an internally formed shock wave might produce.

Thus, before 10 years ago when more detailed studies started, it was considered that there could be anywhere from 2-4 genera within the Actinidiaceae.

Thus it provides an intense, detailed exploration of its subject, providing to some degree both the concentrated focus of the short story and the broad scope of the novel.

Thus, although Gelukpa scholars give detailed intepretations of the systems of breath meditation set forth in Vasubandu's and Asaṅga's texts, they may not fully account for the higher stages of breath meditation set forth in those texts.

Thus the detailed balance equations are satisfied, implying the chain is reversible and it has invariant distribution.

Thus detailed moving graphics caused large ugly fringes of rapidly changing colors to follow them around.

Thus for a more detailed view, the crater must be viewed from orbit.

Thus, from the view-point of the meaning too, this word can be a suitable title for this Surah, for in it the detailed story of the Prophet Moses has been related.

Thus the safety factor dramatically impacts company fortunes and is often worth the additional engineering expense required for detailed analysis and implementation.

Thus, in order to reduce the time required for analysis, less detailed systems ( like MTM-B and MaxiMOST ) are usually used when possible.

( See the most detailed explanation and exposition of this term in Epshtein's articles " Theses on Metarealism and Conceptualism ", " A Catalogue of the New Poetries " ( Russian version ) and in its English version Thus, " meta " means both " through " and " beyond " the reality that we all can see ; hence, " metarealism " is the realism of the hyperphysical nature of things.

Thus, the principle of detailed balance is a sufficient but not necessary condition for the entropy growth in the Boltzmann kinetics.

Thus, a more detailed study would examine changes to the whole of the marginal distribution.