Given its dimensions ( 10, 000 kilometers in diameter ) it is more like Banks ' Culture Orbitals ( though much smaller ) than Niven's behemoth.

Given that the dispute with Pizarro over Cuzco had kept intensifying, Almagro spent a great deal of time and money equipping a company of 500 men for a new exploration south of Peru.

Given limited defense budgets, air forces tended to be conservative in their aircraft purchases, and biplanes remained popular with pilots because of their agility, and remained in service long after they had ceased to be competitive.

Given a trigonometric series f ( x ) with S as its set of zeros, Cantor had discovered a procedure that produced another trigonometric series that had S ' as its set of zeros, where S ' is the set of limit points of S. If p ( 1 ) is the set of limit points of S, then he could construct a trigonometric series whose zeros are p ( 1 ).

Given that Gable and Cukor had worked together before, in Manhattan Melodrama and Gable had no objection to working with him then, and given Selznick's desperation to get Gable for Rhett Butler, if Gable had any objections to Cukor, certainly they would have been expressed before he signed his contract for the film.

" Given that there's a gulf of 100, 000, 000 light years, he checks his diary to find out what he had been doing that day, and finds out that it was something he wished to hide.

Given civilian status, he recovered his teaching position at Lycée Pasteur near Paris, settled at the Hotel Misgiven a new position at Lycée Condorcet, replacing a Jewish teacher who had been forbidden to teach by Vichy law.

It is described as " the ancient grayhound .. that had been with Lugh of the Mantles, / Given him by the sons of Tuireann Bicreann ;.."

Given that the authors were the primary developers of the Unix operating system, it is natural that QED had a strong influence on the classic UNIX text editors ed, sed and their descendants such as ex and sam.

Given that by this time it was common for castles to be built in stone, and that many barons had expanded or refortified their castles, this was not an easy task.

Given the use of similar symbols on the Roman standard, this depiction also conveyed another victory, namely that of the Christian faith: the Roman soldiers who had once arrested Jesus and marched him to Calvary now walked under the banner of a resurrected Christ.

The Fascist government had direct rule only over the Benadir territory Given the defeat of the Dervish movement in the early 1920s and the rise of fascism in Europe, on 10 July 1925, Mussolini gave the green light to De Vecchi to start the takeover of the north-eastern sultanates.

Given that starters knew only the target recipient's name and address, they had a seemingly impossible task.

Given Cerion's extensive geographic diversity, Gould later lamented that if Christopher Columbus had only cataloged a single Cerion it would have ended the scholarly debate about which island Columbus had first set foot on in America.

Given a color name to match the name of amber mutants, ochre mutant viruses had a similar property in that they recovered infectious ability within certain suppressor strains of bacteria.

Given his age, the king probably had very powerful advisers, presumably including General Horemheb, the Vizier Ay, and Maya, the " Overseer of the Treasury ".

Given this they would have qualified as Corbett summits had they been under 3, 000 feet.

Given that many businessmen and bankers were terrified of Bryan's populist rhetoric and support for ending the gold standard, Hanna had few problems in raising record amounts of money.

Given to Graham with the working title " Ballet for Martha ," it was named by her for the scenario she had in mind, though Copland often said he was thinking of neither Appalachia nor Spring while he wrote it.

Given the type of warfare that had been carried out in the conflict — wherein highly mobile groups of soldiers and rebels continued to move to and from on the desert terrain, retreating at a time and then suddenly attacking to regain control of small towns and villages in the Eastern rebel held parts of Libya — had led to the technical becoming a vehicle of choice for both sides.

Given on 16 October 1732, they amounted only to recreating his first expedition, but with the added task of heading east and finding North America ( a feat which had in fact just been completed by Mikhail Gvozdev, though this was not known at the time ).

Given the limited success of the Charity School, however, Wheelock intended his new College as one primarily for whites.

Given its limitations, however, NAALC has not produced ( and in fact was not intended to achieve ) convergence in employment, productivity and salary trend in North America.

Given the closeness shared by the countries bordering the Mediterranean basin, and very topical interest to the consolidation of the European Union's enlargement policy, he also intended to establish trade relations with the Republic of Malta aimed at encouraging mutual knowledge and awareness in a profitable way their local communities on European issues of common interest and current.

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 the calculator's intended userbase of high school maths and science teachers and students, this is not surprising.

Given these conditions, it has led some to believe that God may have intended for Adam and Eve to be immortal.

Given that the eponymous Miss Lonelyhearts and his fellow protagonists are struggling for existential meaning and interpersonal relationships in the uncertain, threatening sociopolitical context of the Great Depression, Dick may have intended this citation as a parallel narrative to the similar alienation, existential and interpersonal crises of his own protagonists in a world on the brink of Nazi-Japanese nuclear war after the Axis won World War II in its alternative universe ( and, as an ironic contrast, our own ).

Given the lyrics of the song Dickson plays, which describes life at sea without women, it is more plausible that he intended a joke about the virtually all-male environment of the Black Maria.

Given the MT-32 was intended to be a relatively low-cost prosumer product, many corners were cut in the design of its DAC output.

Critique by Fritz Lehman: Given that this book is intended as a textbook for Pakistani undergraduates, Shaikh Ahmed Sarhindi predictably appears as the chief preserver of separate Islamic identity in India, yet only a very general and most inadequate description of his ideas and his influence is given.

Given the context of the Clerk's tale, what lesson, if any, Chaucer intended remains an open guess.

Given the social nature of the interview, applicant responses to interview questions and interviewer evaluations of those responses are sometimes influenced by constructs beyond those the questions were intended to assess, making it extremely difficult to tease out the specific constructs measured during the interview.

Given specific circumstances this mechanism ( which is intended to protect the heart ) may cause atropine-resistant refractory bradyasystole.

Given this, the bidding is said to start at the one-level when contracting for a total of seven tricks, at the two-level for eight tricks and so on to the seven-level to contract to take all thirteen tricks.

Given that drug poisoning causes a large portion of patients in a coma, hospitals first test all comatose patients by observing pupil size and eye movement, through the vestibular-ocular reflex.

Given the rugged terrain of Ngazidja and Nzwani, and the dedication of extensive tracts to agriculture on all three islands, population pressures on Comoros are becoming increasingly critical.

Given the central role under the Constitution of the Soviet Union, the party controlled all tiers of government and social institutions in the Soviet Union.

Given any vector space V over a field F, the dual space V * is defined as the set of all linear maps ( linear functionals ).

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 any set X, there is an equivalence relation over the set of all possible functions X → X.

Raymond also coined an aphorism he dubbed " Linus ' Law ", inspired by Linus Torvalds: " Given enough eyeballs, all bugs are shallow ", that first appeared in The Cathedral and the Bazaar.

Given that the vast majority of all emeralds are treated as described above, and the fact that two stones that appear visually similar may actually be quite far apart in treatment level and therefore in value, a consumer considering a purchase of an expensive emerald is well advised to insist upon a treatment report from a reputable gemological laboratory.

Given Mountbatten's determination, Nehru and Patel's inability to deal with the Muslim League and lastly Jinnah's obstinacy, all Indian party leaders ( except Gandhi ) acquiesced to Jinnah's plan to divide India, which in turn eased Mountbatten's task.

Given that genes are universal to living organisms, genetics can be applied to the study of all living systems, from viruses and bacteria, through plants and domestic animals, to humans ( as in medical genetics ).

Given a groupoid in the category-theoretic sense, let G be the disjoint union of all of the sets G ( x, y ) ( i. e. the sets of morphisms from x to y ).

Given a field K, the corresponding general linear groupoid GL < sub >*</ sub >( K ) consists of all invertible matrices whose entries range over K. Matrix multiplication interprets composition.

Given a set S with a partial order ≤, an infinite descending chain is a chain V that is a subset of S upon which ≤ defines a total order such that V has no least element, that is, an element m such that for all elements n in V it holds that m ≤ n.

Given the tendency for real negotiations in Japan to be conducted privately ( in the nemawashi, or root binding, process of consensus building ), the shingikai often represented a fairly advanced stage in policy formulation in which relatively minor differences could be thrashed out and the resulting decisions couched in language acceptable to all.

Given that non-violence has priority, all other principles yield to it whenever there is a conflict.

Given a complete set of axioms ( see below for one such set ), modus ponens is sufficient to prove all other argument forms in propositional logic, and so we may think of them as derivative.

Given that spinning a Dyson Sphere would result in the atmosphere pooling around the equator, the Ringworld removes all the extraneous parts of the structure, leaving a spinning band landscaped on the sun-facing side, with the atmosphere and inhabitants kept in place through centrifugal force and 1000 mile high perimeter walls ( rim walls ).

Given the increasing number of scientists who study the nervous system, several prominent neuroscience organizations have been formed to provide a forum to all neuroscientists and educators.

Given a point x in a topological space, let N < sub > x </ sub > denote the set of all neighbourhoods containing x.

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 a class function G: V → V, there exists a unique transfinite sequence F: Ord → V ( where Ord is the class of all ordinals ) such that

Given the apparent magnitude (> 20 ) of all but the biggest trans-Neptunian objects, the physical studies are limited to the following:

Given a guaranteed halting language, the computable function which is produced by Cantor's diagonal argument on all computable functions in that language is not computable in that language.

Given a supervaluationist semantics, one can define the predicate ' supertrue ' as meaning " true on all precisifications ".