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 circumstances, the Ghent Altarpiece is a difficult work to use for comparison when assessing other attributions, especially as several other artists from the brothers ' workshops probably worked on it as well.

# Given an artifact whose performance has been evaluated, it is important to determine why and how the artifact worked or did not work within its environment.

Given all the signs that a very large eruption was imminent, PHIVOLCS – assisted by the U. S. Geological Survey – worked to convince local inhabitants of the severity of the threat.

Given the frenetic pace at which he worked, Offenbach sometimes used the same material in more than one opera.

Given in recognition of individuals who worked on organising the 11th Olympic Games in Berlin and the 4th Olympic Winter Games held in Garmisch-Partenkirchen, 1936.

Given the overriding importance of economic factors in foreign relations, the ministry worked closely with the Ministry of Finance on matters of customs, tariffs, international finance, and foreign aid ; with the Ministry of International Trade and Industry ( MITI ) on exports and imports ; and with the Ministry of Agriculture, Forestry, and Fisheries on questions of foreign agricultural imports and fishing rights.

Given their historical ties, the Rwandan and Ugandan governments were closely allied and thus Museveni worked closely with Kagame throughout the First Congo War.

Given that recorded vocalizations are an effective means to attract owls, and given the similarity of a distant accordion's tune to the call of the Laughing Owl as reported, it is apparent that the method might have worked.

Given the rules from NEC, it was a pretty sensitive subject, so direct references had to be changed ", explained Vic Ireland, who worked closely with the game's localization.

Given the software limitations at the time, to make the sound work correctly required a full live orchestra, the first that Soule had ever worked with ; the orchestral tracks in Evermore had been performed by Soule and his brother by themselves, two instruments at a time.

Previously he had worked alongside Brayshaw on The Sunday Footy Show and in 2005 on Any Given Sunday, as well as being a presenter of the Melbourne Commonwealth Games 2006 coverage on Nine.

Given the importance of these exchanges for ensuring the perpetuation of the republic of letters as a community, Lespinasse, Roland, Mosconi, and Renier Michiel worked to reinforce cohesion through friendship and loyalty.

Given the cost, only a few were produced and many of the engineers who worked on the project in Japan were moved to PlayStation development.

: 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 two subspaces with, this leads to a definition of angles called canonical or principal angles between subspaces.

While tests have been done to support this with fixed pieces of flat metal, the result is inconclusive with respect to the curved armour of the period. Given the following actions of the archers, it seems likely Froissart was correct.

Given this influence, it is unfortunate that many of the details of his life remain shrouded in mystery, perhaps forever ; even the only known picture of him, shown above, is heavily retouched, with a fake tie painted in by hand.

Given the opportunity, adults eat hatchlings, which may be protected by separating the two groups with a net, breeding box or separate tank.

Love and Erlandson continued to pursue with the band, and released the single " Be A Man "— an outtake from the Celebrity Skin sessions — for the soundtrack of the Oliver Stone film Any Given Sunday ( 1999 ).

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 an asymmetric subunit on a triangular face of a regular isosahedron, with three subunits per face 60 such subunits can be placed in an equivalent manner.

Given the bias of the Victorian age, female students were denied direct study in anatomy and could not attend drawing classes with live models ( who were often prostitutes ) until a decade later.

Given the small population of the region ( compared with the Central Canadian provinces or the New England states ), the regional economy is a net exporter of natural resources, manufactured goods, and services.

Given the rigorous admission process it is not surprising that CUNY BA boasts a 70 % graduation rate within an average of 2. 2 years and that 60 % graduate with academic honors.

Given Chrétien's known tendency to create new stories and characters, being the first to mention the hero Lancelot and his love affair with Queen Guinevere for example, the name might also be entirely invented.

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 this kind of data, the estimated coefficient on Years of Education in the equation above reflects both the effect of education on wages and the effect of other variables on wages, if those other variables were correlated with education.

Given Guatemala's large expatriate community in the United States, it is the top remittance recipient in Central America, with inflows serving as a primary source of foreign income equivalent to nearly two-thirds of exports.

Given the differences of opinion within the Lord Aberdeen cabinet over the direction of foreign policy with regard to relations between Britain and the French under Napoleon III, it is not surprising that debate raged within the government as Louis Bonaparte, now assuming the title of Emperor Napoleon III of France.

Given a finite dimensional real quadratic space with quadratic form, the geometric algebra for this quadratic space is the Clifford algebra Cℓ ( V, Q ).

Given the limited amount of good quality agricultural land to begin with, that policy has resulted in continual deforestation and subsequent erosion.

On poverty, Hoover said that " Given the chance to go forward with the policies of the last eight years, we shall soon with the help of God, be in sight of the day when poverty will be banished from this nation ", and promised, " We in America today are nearer to the final triumph over poverty than ever before in the history of any land ," but within months, the Stock Market Crash of 1929 occurred, and the world's economy spiraled downward into the Great Depression.