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On and assumption
-- On the basis of a differentiability assumption in function space, it is possible to prove that, for materials having the property that the stress is given by a functional of the history of the deformation gradients, the classical theory of infinitesimal viscoelasticity is valid when the deformation has been infinitesimal for all times in the past.
On March 23, 1982, army troops commanded by junior officers staged a coup d ' état to prevent the assumption of power by General Ángel Aníbal Guevara, the hand-picked candidate of outgoing President and General Romeo Lucas García.
On the outbreak of the Franco-Prussian War of 1870, Andrássy resolutely defended the neutrality of the Austrian monarchy, and in his speech on 28 July 1870 warmly protested against the assumption that it was in the interests of Austria to seek to recover the position she had held in Germany before 1863.
On 1 November 1950, Pius XII defined the dogma of the assumption ( Titian's Assunta ( 1516 – 18 ) pictured ).
On the question of the ' validity of the law of causality ' we have this opinion: as long as one takes into account only experiments that lie in the domain of our currently acquired physical and quantum mechanical experience, the assumption of indeterminism in principle, here taken as fundamental, agrees with experience.
On the other hand, none of the early marginalists insisted that utility were not quantified, some indeed treated quantification as an essential feature, and those who did not still used an assumption of quantification for expository purposes.
On the assumption that Funan was a single unified polity, scholars have advanced various linguistic arguments about the location of its " capital.
On 12 May 1689 the Dutch and the Holy Roman Emperor had signed an offensive compact in Vienna, the aims of which were no less than to force France back to her borders as they were at the end of the Thirty Years War ( 1648 ), and the Franco-Spanish War ( 1659 ), thus depriving Louis XIV of all his gains since his assumption of power.
On the other hand, the existence of a decomposition of a certain kind is an assumption in practical cases, and the principles should explain which assumptions are justified.
On the assumption of the Elliott – Halberstam conjecture it has been proven recently ( by Daniel Goldston, János Pintz, Cem Yıldırım ) that there are infinitely many primes p such that p + k is prime for some positive even k less than 16.
On June 4, 2004, MGM Mirage announced a bid to acquire one of its major competitors, Mandalay Resort Group, for $ 68 per share plus assumption of debt.
The satirical edge was equally significant, both the references within news programmes to the fact that they are reporting the news and repeating the show's title as well as such aspects as newsspeak, media-manipulation, exploitation of tragedies, patronising mistreatment of the general public, lack of fact-checking-personified by Marber's Peter O ' Hanraha-hanrahan-and the general assumption that the programme itself is infallible (" On the Hour — Towards a New Eden ").
On the same basis, the common assumption in 16th-century Europe was that the current world would end in 2242.
On the night of December 31, 1965 – January 1, 1966 General Jean-Bédel Bokassa carried out a successful coup d ' état against Dacko and prevented the possible assumption of power by a rival, Colonel Jean Izamo, head of the national gendarme police force.
On June 23, 2006, Houston-based Anadarko Petroleum Corporation agreed to acquire Kerr-McGee in an all-cash transaction totaling $ 16. 5 billion plus the assumption of $ 2. 6 billion in debt.
On the other side, several authors believe that they are merely the males of H. erectus, the alleged large size and robusticity being only due to early author's assumption that the females were males.
On Richard Cromwell's assumption of the Protectorship he was reappointed a commissioner of the Great Seal, and had considerable influence during the former's short tenure of power.
On the assumption that a ford must exist between the two villages, Wellesley ordered the area to be further reconnoitred by his Chief Engineer, Captain John Johnson, who reported that there was indeed a ford at that spot.
On June 30, 2009, Channel Zero announced that it would purchase CHCH and CJNT in Montreal from Canwest in exchange for $ 12 in cash and the assumption of various station liabilities.
( On the assumption that the pitcher will be a poor hitter, the incoming pitcher will generally take the spot in the batting order of a position player who has recently been put out, so as to avoid the pitcher making a plate appearance in the next couple innings.
On 8 June 2004, the United Nations Security Council resolution 1546 was adopted unanimously, calling for " the end of the occupation and the assumption of full responsibility and authority by a fully sovereign and independent Interim Government of Iraq by 30 June 2004.
On December 22, 2004, Constellation Brands acquired the Mondavi winery for nearly US $ 1. 36 billion in cash and assumption of debt.
On June 4, 2004, one of Mandalay Resort Group's largest competitors, MGM Mirage, announced a bid to acquire it for $ 68 per share plus assumption of debt.
On May 7, 2012, LIN TV announced that it will acquire the 13 television stations owned by New Vision Television for $ 330. 4 million and the assumption of $ 12 million in debt.

On and hypothesis
In On the Infinite, David Hilbert hypothesized that the Ackermann function was not primitive recursive, but it was Ackermann, Hilbert ’ s personal secretary and former student, who actually proved the hypothesis in his paper On Hilbert ’ s Construction of the Real Numbers.
On this basis, a related hypothesis holds that the name originated from this Indo-European root via a Baltic language such as Lithuanian.
Charles Darwin proposed the theory of universal common descent through an evolutionary process in On the Origin of Species, twice stating the hypothesis that there was only one progenitor for all life forms and ending with " There is a grandeur in this view of life, with its several powers, having been originally breathed into a few forms or into one ".
On 14 May 1796, Jenner tested his hypothesis by inoculating James Phipps, a boy eight years old ( the son of Jenner's gardener ), with pus scraped from the cowpox blisters on the hands of Sarah Nelmes, a milkmaid who had caught cowpox from a cow called Blossom, whose hide now hangs on the wall of the St George's medical school library ( now in Tooting ).
On the other hand, what some physicists refer to as " apparent " or " effective " FTL depends on the hypothesis that unusually distorted regions of spacetime might permit matter to reach distant locations in less time than light could in normal or undistorted spacetime.
On 8 May 2012, he appeared on the Radio Four series " The Life Scientific ", talking to Jim al-Khalili about the Gaia hypothesis.
Many of his stories, such as Gulf, If This Goes On —, and Stranger in a Strange Land, depend strongly on the premise, related to the well-known Sapir – Whorf hypothesis, that by using a correctly designed language, one can change or improve oneself mentally, or even realize untapped potential ( as in the case of Joe Green in Gulf ).
On the other hand, if the null hypothesis that cannot be rejected, then equivalently the hypothesis of no causal effect of on y cannot be rejected.
On the other hand, if the second person accepts the hypothesis that " All non-black objects are non-ravens ", then the approximately 50 non-black objects about which it was uncertain whether each was a raven, will be thought to be non-ravens.
Imbued with the idea of regeneration, and seeking in nature for that thrift of power which he, as an inventor, had always aimed at, Siemens suggested a hypothesis on which the sun conserves its heat by a circulation of its fuel in space, afterwards reprinting the controversy in a volume, On the Conservation of Solar Energy.
Fredrick Jameson, " On Magic Realism in Film " advances a hypothesis that magical realism in film is a formal mode that is constitutionally depended on a type of historical raw material in which disjunction is structurally present.
On one side, perfect information is a key element to explain efficient market hypothesis.
On this basis, they concluded that " the salicylate poisoning hypothesis difficult to sustain as the primary explanation for the unusual virulence of the 1918 – 1919 influenza pandemic ".
On the second question, no definite consensus has been formed, and the intentional discovery hypothesis lacks solid proof.
On this point, Dow theory agrees with one of the premises of the efficient market hypothesis.
On the basis of this the two species were often thought to be each other's closest relatives, a hypothesis ruled out by a number of behaviour and ecological differences.
The hypothesis has been linked to Ernst Jentsch's concept of " the uncanny " identified in a 1906 essay, " On the Psychology of the Uncanny ".
* Bernhard Riemann publishes his paper on number theory, die Anzahl der Primzahlen unter einer gegebenen (" On the Number of Primes Less Than a Given Magnitude ") including the Riemann zeta function and Riemann hypothesis.
On the other hand, if the control culture does not die, then the researcher cannot reject the hypothesis that the drug is efficacious.
On the other hand, if the null hypothesis that cannot be rejected, then equivalently the hypothesis of no causal effect of on y cannot be rejected.
On the one hand, Ross's ( 1977 ) hypothesis of a fundamental attribution error suggests that observers are incorrect, because they show a general tendency to overemphasize dispositional explanations and underemphasize situational ones.
The author of On Ancient Medicine launches immediately into a critique of opponents who posit a single " cause in all cases " of disease, " having laid down as a hypothesis for their account hot or cold or wet or dry or anything else they want ".

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