Given these problems and delays, 51st Troop Carrier Wing was not able to conduct a large-scale glider exercise until mid-June.

Given that large-scale, mechanised production could not be eliminated once invented, the Party arranges the destruction of surplus goods – before that makes " the masses too comfortable, and hence, in the long run, too intelligent ".

Given a large-scale refit in which particular attention was given to dual usage of the ship in both liner and cruise services, the former Lurline emerged in February 1971 as, joining Ellinis and Australis on the UK — Australia liner service.

* Relationship extraction: Given a chunk of text, identify the relationships among named entities ( e. g. who is the wife of whom ).

Given the hierarchical relationships of the existing economic system, these other unions perceive the necessity of a radical change in the social order.

:: Given the marginalized position of homosexuals in society, the metamessage that flows almost inevitably from excluding same-sex couples from such an important social institution is essentially that society considers such relationships to be less worthy of respect, concern and consideration than relationships involving members of the opposite sex.

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 these strategies, the interaction of large numbers of individual agents ( who may be very heterogeneous ) can be simulated on a computer, and then the aggregate, macroeconomic relationships that arise from those individual actions can be studied.

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

Given the use of the term " domestic partnerships ", the Oregon legislation is more in line with Washington state's recognition of same-sex relationships and California's recognition of same-sex relationships, as opposed to the civil union legislation created in Vermont, New Jersey, and New Hampshire.

Given that sociometry is concerned with group allegiances and cleavages, it is not surprising that sociometric methods have been used to study ethnic relationships and way individuals identify with ethnic groups.

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 as a series of linked short stories, the book is also interspersed with brief commentaries on contemporary British politics.

" Given the fact that it's the third film in the series, you couldn't just end with them obtaining the object.

Given formal power series

Given a formal power series

Given a series with values in a normed abelian group G and a permutation σ of the natural numbers, one builds a new series, said to be a rearrangement of the original series.

Given his jazz and salsa conga playing experience and knowledge ( working as a sideman with such bands as salsa's Frankie Dante's Orquesta Flamboyan and jazz saxophonist Archie Shepp ), Dawson also created the long running " Salsa Meets Jazz " weekly concert series at the Village Gate jazz club where jazz musicians would sit in with an established salsa band, for example Dexter Gordon jamming with the Machito band.

" Given the chance to relive his life by switching bodies with " a talentless 20 year-old wannabe rock star with all the looks and charm Rocky used to have ," the series deals with the subsequent soul-searching and reflection over such a decision.

Given two complexes M < sub >*</ sub > and N < sub >*</ sub >, a chain map between the two is a series of homomorphisms from M < sub > i </ sub > to N < sub > i </ sub > such that the entire diagram involving the boundary maps of M and N commutes.

Given that only six vessels were constructed after the Coast Guard takeover, the " LV -" series numbers are most commonly used.

Given reinforcements and more equipment, Maude directed his force in a steady series of victories.

Given the innately rich and personal world of fantasy he has left himself locked into, Morgan goes off the deep end, enacting a series of bizarre stunts in a campaign to win Leonie back, including putting a skeleton in her bed and crashing her wedding dressed as a gorilla, for which scene Reisz borrows clips from from the original King Kong film to illustrate Morgan's fantasy world.

Given a ring R and an R-module M, a composition series for M is a series of submodules

Given a limited budget, the player must design a tank that can defeat a series of ever more challenging opponent tanks.

Given the publicity Trueman had received after his performances in the 1952 Test series, there was a lot of public interest in his football and Lincoln's attendances increased considerably when he was playing.

Given an arbitrary series

Given an n-dimensional formal group law F over R and a commutative R-algebra S, we can form a group F ( S ) whose underlying set is N < sup > n </ sup > where N is the set of nilpotent elements of S. The product is given by using F to multiply elements of N < sup > n </ sup >; the point is that all the formal power series now converge because they are being applied to nilpotent elements, so there are only a finite number of nonzero terms.

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 that the structure of an econometric model consists of optimal decision rules of economic agents, and that optimal decision rules vary systematically with changes in the structure of series relevant to the decision maker, it follows that any change in policy will systematically alter the structure of econometric models.

Given a faster than light technology and weapons scaled similar to those of the Age of Sail, some of the battles described in the Honor Harrington series resemble real-life sea battles in our historical record.

: 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.