Considering that the Japanese employed a considerable number of pikemen, combined with the unfavourable terrain, the Korean cavalry might have had great difficulty charging the Japanese.

Considering that St. Louis was originally defended by only 8, 000 Union troops ( later reinforced by other Federal formations under Maj. Gen. Andrew J. Smith ), Smith's hopes were not entirely unfounded – at least in the beginning.

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 particular case of fluid dynamics, the difference between the stream function values at any two points gives the volumetric flow rate ( or volumetric flux ) through a line connecting the two points.

Considering the known biogeography of these groups, the most plausible explanation seems that the oxpecker lineage originated in Eastern or Southeastern Asia like the other two.

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 Syracuse and Rochester were two teams that Tonawanda had beaten handily in 1920, team management realized that the team was no longer fit to play at the top level that would be required of the top professional league in the United States, and so the Lumbermen folded.

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

Considering that his career as a composer lasted for barely two decades, Clemens was an extremely prolific composer, writing:

Considering two consecutive quarters of net losses in Q2 + Q3 2011 and realization they are selling too many products ; 101 individual notebook, netbook and chromebook SKUs in the United States alone, Acer will cut product lines by two thirds beginning in 2012.

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 the armament of two nations, Richardson posited an idealized system of equations whereby the rate of a nation's armament build-up is directly proportional to the amount of arms its rival has and also to the grievances felt toward the rival, and negatively proportional to the amount of arms it already has itself.

Considering R as an R-R bimodule in the natural way, its sub-bimodules are exactly the ideals of R. Since R is simple there are only two: R and the zero ideal.

Considering the two constituents of " Vahiguru " (" vahi " + " guru ") implying the state of wondrous ecstasy and offering of homage to the Lord, the first one was brought distinctly and prominently into the devotional system by Guru Nanak, who has made use of this interjection, as in Majh ki Var ( stanza 24 ), and Suhi ki Var, sloka to pauri 10.

Considering a smooth stone on a smooth flat road, the two surfaces would be still in contact, but only at a few points ( the bumps do not fit exactly into the craters ).

Considering two hypothetical situations.

Considering for the moment only those two gears, we can regard the idler as the driven gear.

Considering the score settled, the two shook hands.

Considering three formula units of fayalite ( Fe < sub > 2 </ sub >( SiO < sub > 4 </ sub >)) for the purpose of stoechiometry and reaction mass balance, four ferrous ions will undergo oxidation by water protons while the two remaining will stay unoxidised.

Considering the difference of ideas and approach of the two senior pediatric pioneers, the younger generation of pediatricians decided that it was necessary to unite the voice of all pediatricians across India by the common bond of a National Pediatric body.

Considering a nonrenewable resource, say a stock of oil in the ground, which is subject to two characteristics ; one, it has a fixed size which cannot be increased over time and two, the in-situ asset is unproductive.

Considering his later importance, it is interesting to note that his Annals only survive in single copies of two halves of the works, one from Fulda and one from Cassino.

Considering the general form of the points in space which make the same angles at the two eyes, when there is no cyclorotation, two components of the horopter can be identified.

Considering his overall career, he mused, " I made sometimes pictures which were not up to my standard, but then it can only be said about a mediocrity that all his works live up to his standard.

Considering this, Sisko and Bashir deduce that Joran's joining was considered a failure and covered up to hide the fact that an obviously " unsuitable " subject was nevertheless capable of joining ( the official party line and the whole idea behind the Commission's existence was that only the few " best of the best " were capable ).

Considering the high operational costs of the vessels ( containerships have daily operational costs of approximately US $ 40, 000 ), the long queues that occur during the high season ( sometimes up to a seven-day delay ), and the high value of some of the cargo transported through the canal, the ACP implemented a congestion pricing scheme to allow a better management of the scarce capacity available and to increase the level of service offered to the shipping companies.

Considering that some " odd Gruiformes " which might be each other's closest living relatives make up most of the remaining Metaves, the doves, the Hoatzin, and sandgrouse would remain as " Metaves incerta sedis " ( Metaves with uncertain placement ).

Considering the scale and scope of the effects, which included stop motion, replacement animation, prosthetic makeup, puppetry and blue screen, it was always Burton's intention to make the style similar to the B movies he grew up with as a child.

Considering A < sub > n </ sub > as a subgroup of the symmetric group S < sub > n </ sub > conjugation by any odd permutation is an outer automorphism of A < sub > n </ sub > or more precisely " represents the class of the ( non-trivial ) outer automorphism of A < sub > n </ sub >", but the outer automorphism does not correspond to conjugation by any particular odd element, and all conjugations by odd elements are equivalent up to conjugation by an even element.

Considering the numbers of German troops involved in the battle, the British ability to hold them off for as long as they did seemed remarkable, and army recruitment shot up in the weeks that followed.

Considering her height ( five feet, seven inches ) and the length of the tub ( five feet ), the upper part of her body would have been pushed up the sloping head of the tub, far above the level of the water.

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 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 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 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 the problem in the reference frame of the source, suppose one wavefront arrives at the observer.

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.