The function f clearly depends on the presentation P. Considering it to be a function of the two variables, a recursive function f ( P, w ) has been constructed that takes a finite presentation P for a group G and a word w in the generators of G such that whenever G has soluble word problem:

Considering the evolved propensity of human beings to think categorically about social groups, manifested in cognitive processes with broad implications for public and political endorsement of multicultural policy, Crisp and Meleady postulated a cognitive-evolutionary account of human adaptation to social diversity which explains general social trends marking a resistance to multiculturalism and offer a reorienting call for scholars and policy-makers seeking intervention-based solutions to the problem of prejudice.

Considering the problem of multiplication of distributions or more generally the problem of defining general nonlinear operations on generalized functions, function of bounded variation are the smallest algebra which has to be embedded in every space of generalized functions preserving the result of multiplication.

: Considering the fact that the CC method was well understood around the late fifties it looks strange that nothing happened with it until 1966, as Jiři Čížek published his first paper on a quantum chemistry problem.

Considering the huge political and demographic issues that it would raise, however, it seems an improbable solution to the problem.

Considering the latter the more important problem, the expedition made a stop at Tenerife to stock up on the local wine, and later sewed the ships ' blankets into cold weather gear.

" Considering it to be a " serious corrective to common misconceptions " propagated in the media, Donaldson stated that it was " worth reading " despite what she herself perceived as " neopaganism's weaknesses ", namely the movement's lack of " historical-traditional-cultural memory " and a lack of " sensitivity to the Western problem of evil ".

Considering the Hafele-Keating experiment in a frame of reference at rest with respect to the center of the earth, a clock aboard the plane moving eastward, in the direction of the Earth's rotation, had a greater velocity ( resulting in a relative time loss ) than one that remained on the ground, while a clock aboard the plane moving westward, against the Earth's rotation, had a lower velocity than one on the ground.

Considering the name of the castle Oi Dong, he is a reference to King Wen, the mythical author of I Ching, ( The Book of Changes ).

Considering the weight of the bars alone, that doesn ’ t leave much left for the frame.

Considering the Middle Ages to be around 500CE-1500CE, 6000 years can be added onto that to get a rough estimate of the time frame.

Considering that their struggle against patriarchy could only be followed in the frame of a global struggle against capitalism, the association revendicated gender equality, wages ' equality, right of divorce for women, right to laïque instruction ( non-clerical ) and for professional formation for girls.

Considering again an n-channel device, a depletion region exists in the p-type body, surrounding the conductive channel and drain and source regions.

Considering only the participants who could recall the source of the news, ongoing activity, and place, researchers reported that less than 35 % had detailed memories.

Considering that many pulp mills require several thousand tonnes of fiber source per day, storage of the fiber source can be a major issue.

Considering the picture, the symbols v are generated randomly by the source S, then the impulse generator creates impulses with an area of v. These impulses are sent to the filter ht to be sent through the channel.

Considering the driver as a point source in an infinite baffle, at one meter this would be distributed over a hemisphere with area 2π m² for an intensity of ( 1 /( 2π ))=

Considering the significant strategic weakness incurred to the castle by the lack of an independent water source, the existence of the underground channel was a state secret known only to the Emperor himself, and the burgrave.

Considering the simple two-stage version diagramed within, which is attached to an AC power source on the left side of the diagram.

Considering what a lousy job he does at poetry, I suppose it will be a high-camp novel, intentionally or unintentionally.

Considering the extravagant totals for casualties, Gibbon remarked that they " suppose a real and effective loss, sufficient to justify the historian's remark that whole generations may be swept away by the madness of kings in a single hour ".

Considering the variability of the world's languages, it becomes clear that this classification is not at all clear cut, and many languages do not neatly fit any one of these types, and some fit in more than one way.

Considering the magnitude of the Super Bowl, and the wild game that preceded it, " The Tackle " is considered one of the greatest and most exciting game-ending plays in modern National Football League history.

Considering only ( ℓmn ) planes intersecting one or more lattice points ( the lattice planes ), the perpendicular distance d between adjacent lattice planes is related to the ( shortest ) reciprocal lattice vector orthogonal to the planes by the formula:

Considering that Cartier made three voyages of exploration in dangerous and hitherto unknown waters without losing a ship, and that he entered and departed some 50 undiscovered harbors without serious mishap, he may be considered one of the most conscientious explorers of the period.

Considering the rifle could be easily loaded without using a clip, one cartridge after another, the magazine spring attached to the magazine base plate is the only contribution of Nagant to all rifles after 1930.

Considering the history of genocidal political leaders and the possibility of the bureaucratic obscuring of any such project's true goals to most of its scientific participants, he judged the Earth at greater risk from a man-made impact than a natural one.

There are conflicting opinions on this phenomenon also called cainism —" No evidence of sibling aggression, but youngest in brood of 3 almost always dies of starvation ..." Considering that the 2 parents must provide food for 3 chicks at a rate of one feeding per hour after day 17 after incubation, one can understand why the last of the chicks to hatch has the least chance of survival.

Considering the tendency for Common Cuckoo males to mate with multiple females and produce offspring raised by more than one host species, it appears as though males do not contribute to the maintenance of Common Cuckoo gentes.

Considering, for example, the case of a communication between two parties, one ( the advisee ) that is requesting advice about the potential for danger in a financial transaction with another party ( the potential partner, target ), and the other ( the adviser, evaluator ) that is giving advice.

Considering that the risk of developing an abnormal blood clot averages about 1 in 1, 000 per year in the general population, the presence of one copy of the factor V Leiden mutation increases that risk to between 1 in 250 to 1 in 125.

Considering one may get more honest answers with lower face validity, it is sometimes important to make it appear as though there is low face validity whilst administering the measures.

Considering social changes, one might observe that 100 years ago things were less specialized compared to today.

Considering that the only Christian poet before Bede was Caedmon, Stephens makes the point that there could have been no one else during this time period or living in the same area that could have authored the poem other than Caedmon.

Considering Köhler ’ s frustration towards this error, one must assume that these two minor variations of the quote harness different meanings.

Considering the appearance of the meat -– a strip about 18 inches long and about one inch thick -– and its placement in the beef carcass beneath the heart and lungs, fajita ( little belt ) is a particularly apt nickname.

Considering there are no epilogues, one must read the proceeding volumes to fully benefit from the wisdom presented by Rumi.

Considering again inclusion-orders of sets, a set is already strictly smaller than another, possibly infinite, set if it contains just one less element.

Considering the beauty of the body as of no account, when one of thine eyes was destroyed thou didst rejoice, O venerable one, for thou didst desire to behold the splendour of heaven and to glorify God with the choirs of the righteous.

" Considering the evidence, he continued, " there can be but one verdict — death in the electric chair for raping Victoria Price ".

Considering this, we can then specify the axis of one of these rotations by two angles, and we can use the radius of the vector to specify the angle of rotation.

Considering now the horizontal tube connecting them, one sees that the pressure at the top of the tube from the top reservoir is higher ( since less water is being lifted ), while the pressure at the top of the tube from the bottom reservoir is lower ( since more water is being lifted ), and since liquids move from high pressure to low pressure, the liquid flows across the horizontal tube from the top basin to the bottom basin.