Given that war is one of the worst evils suffered by mankind, the adherents of the School reasoned that it ought to be resorted to only when it was necessary in order to prevent an even greater evil.

Given that war is one of the worst evils suffered by mankind, the adherents of the School reasoned that it ought to be resorted to only when it was necessary in order to prevent an even greater evil.

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.

Given the first n digits of Ω and a k ≤ n, the algorithm enumerates the domain of F until enough elements of the domain have been found so that the probability they represent is within 2 < sup >-( k + 1 )</ sup > of Ω.

Given r, the rate of rotation is easy to infer from the constant angular momentum L, so a 2D solution can be easily reconstructed from a 1D solution of this equation.

The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible.

Given a complete set of axioms ( see below for one such set ), modus ponens is sufficient to prove all other argument forms in propositional logic, and so we may think of them as derivative.

Given the difficulty of this position, it is not uncommon for the best player on the team to play Number Two so long as another strong player is available to play Three.

Given unlimited resources, a classical computer can simulate an arbitrary quantum algorithm so quantum computation does not violate the Church – Turing thesis.

Given the above, the 39 melakhot are not so much activities as " categories of activity.

Given this view, the difficulty or impossibility of finding a plausible explanation for evil in a world created by God is to be expected, and so the argument from evil is assumed to fail unless it can be proven that God's reasons would be comprehensible to us.

Given an ongoing rift in the sport during the 1860s between the northern professionals and Surrey, MCC feared the loss of its authority should Grace " throw in his lot with the professionals " so it was considered vital for them and their interests to get him onside.

Given an object X, a functor G ( taking for simplicity the first functor to be the identity ) and an isomorphism proof of unnaturality is most easily shown by giving an automorphism that does not commute with this isomorphism ( so ).

# Given any elements a and a ' of G, if a ~ a ', then a < sup >− 1 </ sup > ~ a ' < sup >− 1 </ sup > ( this can actually be proven from the other four, so is strictly redundant ).

Given that most of the Indian targets ( Halwara, Pathankot and Adampur ) were deep into enemy territory only a dozen or so commandos made it back alive and the stealth operation proved ineffective.

Given a differentiable manifold M, a vector field on M is an assignment of a tangent vector to each point in M. More precisely, a vector field F is a mapping from M into the tangent bundle TM so that is the identity mapping

Given the simpleness of the design, and high usability with some people ( e. g. those owning an orchard ), some people have started building their own do-it-yourself ( DIY ) fruit press and have uploaded detailed instructions on how to do so.

: Given a command, e. g., "", the shell creates a pipe, then starts both and with stdio for the two commands redirected so that writes its stdout into the input of the pipe while reads stdin from the output of the pipe.

The word Datta means " Given ", Datta is called so because the divine trinity have " given " themselves in the form of a son to the sage couple Atri and Anasuya.

* Given a small, privileged set of inputs ( e. g., reserved words for a compiler ), the permutation table can be adjusted so that those inputs yield distinct hash values, producing what is called a perfect hash function.

Given the nature of the book, the room is full of precautions ; not so much for the protection of the book as much as for the protection of its visitors.

Given that no Interstate, US or New Jersey State Highway runs very near to Mendham Township, the township has not become so much of a New York City suburb as nearby communities with more accessible highway and commuter rail access.

Given that the majority of autoinducer – synthase / receptor occurs in tandem in bacterial genomes, it is also rare that they switch partners and so pairs tend to co-evolve.

Given the nature of this interrogation and the motive behind it, it is not known for certain what elements of Number Six's life so portrayed are real and which are fiction.

Given his overwhelming European ancestry, Chesnutt could " pass " as a white man, although he never chose to do so.

Given these orbital elements and the physical characteristics known so far, Ananke is thought to be the largest remnant of an original break-up forming the Ananke group.

Given a sphere of unit radius, place its center at the origin of the complex plane, oriented so that the equator on the sphere coincides with the unit circle in the plane, and the north pole is " above " the plane.

Given that the ColecoVision could produce near arcade-quality ports, industry magazines like Electronic Games were unanimous in their enthusiasm over the console.

Given sufficient travel time and engineering work, both unmanned and generational interstellar travel seem possible, though present considerable technological and economic challenges are unlikely to be met in the near future, particularly for manned probes.

Given civilian status, he recovered his teaching position at Lycée Pasteur near Paris, settled at the Hotel Misgiven a new position at Lycée Condorcet, replacing a Jewish teacher who had been forbidden to teach by Vichy law.

Given Rickover's single-minded focus on naval nuclear propulsion, design and operations, it came as a surprise to many when in 1982, near the end of his career, he testified before the U. S. Congress that, were it up to him, he " would sink them all.

Given any curve C and a point P on it, there is a unique circle or line which most closely approximates the curve near P, the osculating circle at P. The curvature of C at P is then defined to be the curvature of that circle or line.

Given that the UK Government opted not to pursue a tidal scheme in the Severn Estuary following the completion of the feasibility study, the chances of a third crossing anytime in the near future seem doubtful.

Although Ruth Bidgood was born near Neath in 1922, her first collection The Given Time appeared only in 1972.

Given that and record company pressure to record more accessible, radio-friendly material similar to their first album – something Lee, Lifeson and Peart were unwilling to do – the trio feared that the end of the group was near.

Given that our understanding of how living memory actually works is incomplete, it is unlikely this scenario will become reality in the near future.

Given the epidemic proportions of obesity in the Western world, and the fact that it is increasing rapidly in some poorer countries, observers expect developments in this area to snowball in the near future.

Given an appropriately designed spam filtering algorithm, outbound spam filtering can be implemented with a near zero false positive rate, which keeps customer related issues with blocked legitimate email down to a minimum.

Given the sluggish growth of the economy, there is limited scope for generating adequate non-farming employment opportunities in the near future.

Brown said that " Given that it was near Charles ' home Highgrove, my assumption was that this might involve the Royal Family.

Given two variables near ( 0, 0 ) and two limiting processes on

Given Encke's low orbital inclination near the ecliptic and brief orbital period of 3 years, the orbit of Encke is frequently perturbed by the inner planets.

According to pioneering Angkor scholar Maurice Glaize, " Given the very particular charm of Banteay Srei — its remarkable state of preservation and the excellence of a near perfect ornamental technique — one should not hesitate, of all the monuments of the Angkor group, to give it the highest priority.

Given the near total destruction of its original habitat, and the lack of any confirmed sightings in over 50 years, most ornithologists believe the Imperial Woodpecker must be extinct.

Given that it is more likely that the main mass loss occurred near aphelion before the 1845 apparition, it seems possible that fragment A at least may still exist as a ' dormant ' comet.

Given that Burford sits at near equal distances from the towns of Witney and Carterton, and close to villages such as the Wychwoods, the school has a large catchment area.

Given that absorption of the pulse is an exponential process most of the carriers are generated near the surface ( typically within 1 micrometre ).

Given the tonal design of the train whistle, the sound level, how often trains pass through a given community, the number of grade crossings in proximity, and the time of day ( night ) of occurrence, community residents residing near crossing sometimes feel that train whistles have a serious detrimental effect on the quality of life despite the gain in safety that sounding the horn provides to motorists.

Given a metric space a point is called close or near to a set if

I: PAULUS PP VI Given in Rome, near St. Peter, June 30, 1965, third year of our pontificate.