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 Nizam's determination not to join India, this left Hyderabad as an independent country.

Given the problem of the aerodynamic design of the nose cone section of any vehicle or body meant to travel through a compressible fluid medium ( such as a rocket or aircraft, missile or bullet ), an important problem is the determination of the nose cone geometrical shape for optimum performance.

Given the problem of the aerodynamic design of the nose cone section of any vehicle or body meant to travel through a compressible fluid medium ( such as a rocket or aircraft, missile or bullet ), an important problem is the determination of the nose cone geometrical shape for optimum performance.

" The court also added " Given the highly technical issues involved in the Agency's decision to list a facility, this court gives significant deference to the EPA's determination.

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

Given the tendency of political parties in India to make and break alliances frequently, the National Democratic Alliance does not have a formal governing structure in place, such as an executive board or politburo.

Position Statement Summary: Given that the focus of writing instruction is expanding: the curriculum of composition is widening to include not one but two literacies: a literacy of print and a literacy of the screen and that work in one medium is used to enhance learning in the other, this statement articulates principles of good practice governing these new pedagogical activities for digital literacy.

Given that syringes are not prohibited in the jurisdiction and their confiscation can only occur as part of an otherwise authorized arrest, almost 40 % of those who reported syringe confiscation were not arrested.

Given the wide range of services, such as policing, health care and education, that fall under provincial jurisdiction, these divergences have considerable importance.

Given that the peace treaties with the Maroon people granted them title to the lands, there have been international court cases that negated the right of the Surinam government to grant these claims.

" Given the situation in Spain for several years regarding terrorist attacks, these ties can be considered objectively as a threat to democracy ," the court said, also adding that these parties " contradicted the concept of a ' democratic society ' and presented a major danger to Spain's democracy ".

Given the range of his office-holding both regionally and at court, he did not need to draw ruinously on his own resources to dispense patronage on a grand scale and he was active in the arbitration of local disputes ; even state matters were regularly referred for his personal adjudication.

Given the political intrigue present at court, Cabral may have been part of a faction that furthered his appointment.

Given the tawaifs ' environment, their performance style of Kathak also differed from the court style, involving more of what in Kathak is termed nakhra ( mischievous playfulness ).

Given the established facts, the court determined that a trial was unnecessary and granted summary judgment in favor of CompuServe for all claims.

Given the suspension of semicha, any beth din existing in medieval or modern times is in theory a court of laymen, acting as arbitrators.

Given that the directors can not ensure corporate success, the business judgment rule specifies that the court will not review the business decisions of directors who performed their duties ( 1 ) in good faith ; ( 2 ) with the care that an ordinarily prudent person in a like position would exercise under similar circumstances ; and ( 3 ) in a manner the directors reasonably believe to be in the best interests of the corporation.

Given years of practice, symbol shorthand writers could sometimes acquire skills of 150 or even 200 words per minute, which might have qualified them for demanding positions such as court reporting, typically dominated today by machine shorthands.

Given the secrecy surrounding the Australian government's decision to fund the Indonesian lawyers defending Corby at the court, many people assumed that Bakir was also paying their fees.

: Given any family of nonempty sets, their Cartesian product is a nonempty set.

Given the similarities in the two characters ' names, professions, written works and generally dark subject matter, it is likely that Lovecraft's Alhazred provided the main inspiration for al-Hazir.

Given a field F, the assertion “ F is algebraically closed ” is equivalent to other assertions:

* Given an algebraic number, there is a unique monic polynomial ( with rational coefficients ) of least degree that has the number as a root.

" Given that Thomas Aquinas died six years before Albertus Magnus ' death, this legend as stated is unlikely.

Given Ealdred's known support of Godwin's family, John of Worcester is probably correct.

* Given any Banach space X, the continuous linear operators A: X → X form a unitary associative algebra ( using composition of operators as multiplication ); this is a Banach algebra.

* 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 ).

Given the other ZF axioms, the axiom of regularity is equivalent to the axiom of induction.

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 its " blue-water " bias, the navy is even less inclined to become involved in counterdrug operations than the army or air force.

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 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.

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

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 points P < sub > 0 </ sub > and P < sub > 1 </ sub >, a linear Bézier curve is simply a straight line between those two points.

Given the then GDP ($ 7. 095 bln ) of the country, military spending is roughly estimated to be about $ 300 million.

Given some encrypted data (" ciphertext "), the goal of the cryptanalyst is to gain as much information as possible about the original, unencrypted data (" plaintext ").

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 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 such a sweeping definition, it is apparent that cognition is involved in everything a human being might possibly do ; that every psychological phenomenon is a cognitive phenomenon.