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 the above-mentioned problems, regulators face the challenging task of regulating a market that is changing very rapidly, without stifling any type of innovation, and without improperly disadvantaging any competitor.

Given a specific task to solve, and a class of functions, learning means using a set of observations to find which solves the task in some optimal sense.

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

Given a list of cities and their pairwise distances, the task is to find the shortest possible route that visits each city exactly once and returns to the origin city.

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 task of arresting dishonest businessmen who hoarded supplies for profit during the inflationary spiral, he attempted to assuage the business community by explaining that his team would only go after big war profiteers.

Given the very conservative engineering of the early IBM personal computers and their higher than average prices, this was not a terribly difficult task at first, bar only the great technical challenge of crafting a BIOS that duplicated the function of the IBM BIOS exactly but did not infringe on copyrights.

Given a design task and a governing set of criteria ( design specifications ), several conceptual designs may be drafted.

Given that a number of the coins were hidden behind scenery, this second task proved to be more difficult than the main game.

Given the intangibility of services, marketing them becomes a particularly challenging and yet extremely important task.

*" Given the significant dangers that varieties of cultural essentialism pose to feminist agendas, I believe that the development of a feminist perspective that is committed to antiessentialism both about ' women ' and about ' cultures ' is an urgent and important task for a postcolonial feminist perspective.

Given the model and realizations ( samples ) of the random vector, the task is to estimate both the mixing matrix and the sources.

Given the complexity of this process, software is increasingly used to simplify the task, while better supporting reproducible and more justifiable results.

Given my tiny force of eighty-one observers and the fact that we had no helicopters with night-vision capability, the task of keeping the border under surveillance was at best symbolic.

Given the task of going in at first wicket down against the West Indian fast bowlers in the Caribbean in 1984 – 85, he responded with a knock of 112 in the follow on at Sabina Park.

Given the difficulty of this task as proven in Book I, Socrates in Book II leads his interlocutors into a discussion of justice in the city, which Socrates suggests may help them see justice not only in the person, but on a larger scale, " first in cities searching for what it is ; then thusly we could examine also in some individual, examining the likeness of the bigger in the idea of the littler "

Given the strategic and ( usually ) tactical importance of control of the center, the pawn is important enough that the player must consistently defend it, but with no pawns available for its defense, the player must " tie down " a minor or major piece ( in the opening, usually the king's knight or the queen ) with that task.

Given his background with the newly renamed Department of Defense, MacLeod grew into the role of informal advisor to several NIH directors and served on various grant committees, commissions, and task forces.

Given the task constraints and relationships, a " critical path ", schedule and budget could be calculated dynamically using heuristic methods.

Given the task of forming the personalities of the Crash Nitro Kart cast through the full-motion videos, the Red Eye Studio artists set certain rules for how each character would carry itself by default.

Given the mission to kill all members of the X-Factor team, Bolivar Trask designates Absorbing Man and Bastion to do the task for him.

" Given a mid-season pay raise by new Cardinals owner Robert E. Hannegan for his outstanding performance, Musial hit a home run in the 1948 All-Star Game.

Given the late signing, the Rangers will have to pay the majority of Rhodes ' salary, with the Cardinals only responsible for a pro-rated league minimum for the remainder of the year.

With a new MLB TV contract signed, again excluding FX, the last such broadcast was scheduled for October 11, 2006, but that night's NLCS game between the St. Louis Cardinals and New York Mets was rained out, making the Detroit Tigers-Oakland Athletics game in the ALCS a national broadcast ; FX aired the movie Any Given Sunday instead.

Given a small ball or marbles, he would invent games and play by himself for hours.

) Given the exclusionary and ancestral conception of citizenship held by Greek city-states, a relatively large portion of the population took part in the government of Athens and of other radical democracies like it.

* Given an R-module M, the endomorphism ring of M, denoted End < sub > R </ sub >( M ) is an R-algebra by defining ( r · φ )( x ) = r · φ ( x ).

After Christians in Ephesus first wrote to their counterparts recommending Apollos to them, he went to Achaia where Paul names him as an apostle ( 1 Cor 4: 6, 9-13 ) Given that Paul only saw himself as an apostle ' untimely born ' ( 1 Cor 15: 8 ) it is certain that Apollos became an apostle in the regular way ( as a witness to the risen Lord and commissioned by Jesus-1 Cor 15: 5-9 ; 1 Cor 9: 1 ).< ref > So the Alexandrian recension ; the text in < sup > 38 </ sup > and Codex Bezae indicate that Apollos went to Corinth.

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 a ket of norm 1, the orthogonal projection onto the subspace spanned by is

* Given any combination of complex numbers, bras, kets, inner products, outer products, and / or linear operators, written in bra-ket notation, its Hermitian conjugate can be computed by reversing the order of the components, and taking the Hermitian conjugate of each.

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.

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 federal nature of the holiday, celebrating Canada Day can be a cause of friction in the province of Quebec, where the holiday is overshadowed by Quebec's National Holiday, on June 24.

Given this basic definition, further criteria are needed to establish a dividing line between postlexical clitics and morphological affixes, since both are characterized by a lack of prosodic autonomy.

Given that one cannot be motivated by reason alone, requiring the input of the passions, Hume argued that reason cannot be behind morality.

Given the variety of single stranded viruses that have been described this scheme-if it is accepted by the ICTV-will need to be extended.

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 both Einstein's equations and suitable equations for the properties of matter, such a solution consists of a specific semi-Riemannian manifold ( usually defined by giving the metric in specific coordinates ), and specific matter fields defined on that manifold.

Given the difficulty of finding exact solutions, Einstein's field equations are also solved frequently by numerical integration on a computer, or by considering small perturbations of exact solutions.

Given an equilateral triangle, the counterclockwise rotation by 120 ° around the center of the triangle " acts " on the set of vertices of the triangle by mapping every vertex to another one.

Given a complex-valued function ƒ of a single complex variable, the derivative of ƒ at a point z < sub > 0 </ sub > in its domain is defined by the limit

Given these two assumptions, the coordinates of the same event ( a point in space and time ) described in two inertial reference frames are related by a Galilean transformation.

Given a general algorithm for integer factorization, one can factor any integer down to its constituent prime factors by repeated application of this algorithm.

Given earlier debates by Christian authors about the existence of Jesus, e. g. in Justin Martyr's 2nd century Dialogue with Trypho, it would have been expected that the passage from Josephus would have been used as a component of the arguments.

Along with a hand-picked escort led by Given Campbell, Davis and his wife were captured on May 10, 1865, at Irwinville in Irwin County, Georgia.