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Given and success
" Given its general release in January 1931, City Lights proved to be a popular and financial success — eventually grossing over $ 5 million.
Given the limited success of the Charity School, however, Wheelock intended his new College as one primarily for whites.
Given Pauling's recent success in discovering the Alpha helix, they feared that Pauling might also be the first to determine the structure of DNA.
Given the anarchy which would follow, the new policy was a success.
Given the outstanding success of the Zeppelin design, the term zeppelin in casual use came to refer to all rigid airships.
Given the union's commitment to international solidarity, its efforts and success in the field come as no surprise.
Given Orff's previous lack of commercial success, the monetary factor of Carmina Buranas acclaim was significant to him.
Given this minor success, the band relocated to the Orlando area where they continued to expand their fan base.
Given that his predecessors were monarchists who tried without success to restore the French monarchy, Grévy is seen as the first real republican President of France.
Given the significance of water availability to the overall design, water levels may be one indicator of the success of the project.
Given that the success of any organization is founded on the knowledge of the people who work for it, these activities will and, indeed, must continue.
Given the ever-accelerating rate of global-scale change, the more critical learning and adaptation become to organization relevance, success, and ultimate survival.
Given its lightning-like success, one could clearly make the case that the Olds 88 with its V-8 was the first ' musclecar '..."
Given their standing in the party, only Chamberlain and Long had a realistic chance of success and though Balfour had intended Chamberlain to succeed him, it became clear from an early canvass of the sitting MPs that Long would be elected by a slender margin.
Given their ambition, to achieve success in the Chilean mainstream, they decided to move to the capital city of Santiago and changed their name to Los Tres.
Given HGO's commitment to commissioning and producing new works and the success of its Opera New World program, Studio artists are provided opportunities to create new roles and premiere new pieces.
Given the success of the project, planning has commenced to use further railcam projects undertaken by the Railpage and Melbourne Wireless teams as a catalyst to further expand the Melbourne Wireless network.
Given their sales success, it was only natural that the Coupe de Ville and Sedan de Ville were moved to their own separate series in 1959, the Series 6300, being joined by a De Ville convertible in 1964.
Given the slight numerical and technological advantage of the Luftwaffe over its enemies in 1939-1941, its success during these years can largely be attributed to extensive officer and staff training programs along with the experiences of the Condor Legion in Spain.
Given the detrimental effects avian brood parasites can have on their hosts ' reproductive success, host species have come up with various defenses against this unique threat.
Given a boost from the success of the apartment, Gray opened up a small shop in Paris, Jean Desert, to exhibit and sell her work and that of her artist friends.
Given that the toxins alter acetylcholine transmission which causes the paralysis, some patients have been successfully treated with cholinesterase inhibitors such as physostigmine or neostigmine, but success is variable and may be species dependent as well.
Given their success at Euro 1996, the Czechs were expected to qualify for the 1998 FIFA World Cup.
Given that Soviet success, the apparent inactivity on the most direct route of approach towards Warsaw, through the suburb of Praga, lasting through August and the first half of September, is to say the least puzzling.

Given and there
: Given any set X of pairwise disjoint non-empty sets, there exists at least one set C that contains exactly one element in common with each of the sets in X.
* Given an algebraic number, there is a unique monic polynomial ( with rational coefficients ) of least degree that has the number as a root.
Given any element x of X, there is a function f < sup > x </ sup >, or f ( x ,·), from Y to Z, given by f < sup > x </ sup >( y ) := f ( x, y ).
Given that many journeys are for relatively short distances, there is considerable scope to replace car use with walking or cycling, though in many settings this may require some infrastructure modification, particularly to attract the less experienced and confident.
Given a subset X of a manifold M and a subset Y of a manifold N, a function f: X → Y is said to be smooth if for all p in X there is a neighborhood of p and a smooth function g: U → N such that the restrictions agree ( note that g is an extension of f ).
Given its different forms, there are various ways of representing uncertainty and modelling economic agents ' responses to it.
* Given any set X, there is an equivalence relation over the set of all possible functions X → X.
* Given a transformation group G over A, there exists an equivalence relation ~ over A, whose equivalence classes are the orbits of G.
Given a left neutral element and for any given then A4 ’ says there exists an such that.
Given these origins, there have been various suggestions over the years to rename the town ( for example, to " Invernevis ").
Given the universality of free fall, there is no observable distinction between inertial motion and motion under the influence of the gravitational force.
Given the existence of a Godlike object in one world, proven above, we may conclude that there is a Godlike object in every possible world, as required.
Given that non-violence has priority, all other principles yield to it whenever there is a conflict.
Given this assumption, there are four categories in which a firm's profit may be considered to be.
Given the overall size of trade between Mexico and the United States, there are remarkably few trade disputes, involving relatively small dollar amounts.
Given the above commonalities there appear to be only two string theories: the heterotic string theory ( which is also the type I string theory ) and the type II theory.
Given infinite space, there would, in fact, be an infinite number of Hubble volumes identical to ours in the universe.
Given the diversity of functions performed by neurons in different parts of the nervous system, there is, as expected, a wide variety in the shape, size, and electrochemical properties of neurons.
: Given any positive number ε, there is a sequence
Given a base for the topology, in order to prove convergence of a net it is necessary and sufficient to prove that there exists some point x, such that ( x < sub > α </ sub >) is eventually in all members of the base containing this putative limit.
Given that both A and not-A are seen to be “ true ,” Kant concludes that it ’ s not that “ God doesn ’ t exist ” but that there is something wrong with how we are asking questions about God and how we have been using our rational faculties to talk about universals ever since Plato got us started on this track!
Given the immense expanse of the entire Universe, it has been argued that there is a higher probability that there exists ( or has existed ) another Earth-like planet that has yielded life ( geogenesis ) than not.
Given an arbitrary group G, there is a related profinite group G < sup >^</ sup >, the profinite completion of G. It is defined as the inverse limit of the groups G / N, where N runs through the normal subgroups in G of finite index ( these normal subgroups are partially ordered by inclusion, which translates into an inverse system of natural homomorphisms between the quotients ).
# Given any two distinct points, there is exactly one line incident with both of them.

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