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problem and considered
He considered them with brooding eyes, brows bunched as his brain grappled with the problem and tried to find some solution.
In the above mentioned report of the Notre Dame Chapter of the American Association of University Professors, the basic outlook of the new breed of lay faculty emerges very clearly in the very statement of the problem as the members see it: `` Even with the best of intentions he ( the President of the university ) is loath to delegate such authority and responsibility to a group the membership of which, considered ( as it must be by him ) in individual terms, is inhomogeneous, mortal and of extremely varying temperament, interests and capabilities.
Apple had considered the problem, and AppleTalk included the possibility for a low-cost LocalTalk-to-Ethernet bridge, but they felt it would be a low-volume product and left it to 3rd parties.
While all real fluids are compressible, a flow problem is often considered incompressible if the density changes in the problem have a small effect on the outputs of interest.
In general, problem drinking is considered alcoholism when the person continues to drink despite experiencing social or health problems caused by drinking.
Many combinatorial questions have historically been considered in isolation, giving an ad hoc solution to a problem arising in some mathematical context.
It was introduced in 1971 by Stephen Cook in his seminal paper " The complexity of theorem proving procedures " and is considered by many to be the most important open problem in the field.
A third problem is to minimize the total number of real multiplications and additions, sometimes called the " arithmetic complexity " ( although in this context it is the exact count and not the asymptotic complexity that is being considered ).
One problem with this explanation is that if in the US comparing older and more recent subjects with similar educational levels, then the IQ gains appear almost undiminished in each such group considered individually.
Eighty-seven per cent of Europeans considered climate change to be a very serious or serious problem, while ten per cent did not consider it a serious problem.
This is one aspect of the problem that will be considered here.
This addressed the underlying problem that had caused the Social War decades earlier, where individuals outside Rome and Italy were not considered " Roman ", and thus were not given full citizenship rights.
Madison was one of the only delegates who wanted to deprive the states of sovereignty completely, which he considered the only solution to the problem.
The problem was considered so intractable that the British Parliament offered a prize of £ 20, 000 ( comparable to £ in modern currency ) for the solution.
In the middle of the 19th century, medical writers attempted to establish ways to identify male homosexuality, which was considered a significant social problem in most Western societies.
The British government referred the problem to the League's Council, but Finland would not let the League intervene, as they considered it an internal matter.
The latter theory was not considered as correct, since it was not compatible with the aberration of light, and the auxiliary hypotheses developed to explain this problem were not convincing.
Chemists generally steered away from anything that did not seem to follow Dalton's laws of multiple proportions and the problem was considered the domain of a different science, metallurgy.
Dual nationality was considered a problem that caused conflict between states and sometimes imposed mutually exclusive requirements on affected people, such as simultaneously serving in two countries ' military forces.
This is considered to be a general property of simulations of NTMs by DTMs ; the most famous unresolved question in computer science, the P = NP problem, is related to this issue.
For almost a century, social scientists have considered the problem of how best to describe political variation ; a sample of their results is given below.
With the breakup of federal states such as Czechoslovakia and Yugoslavia and the problem of Russian and Serbian dominance in any proposed all-Slavic organisation, the idea of Pan-Slavic unity is mostly considered dead.

problem and preprint
This unrefereed preprint purports that solving the RSA problem using a Straight line program is as difficult as factoring provided e has a small factor.
This Eurocrypt 2009 paper ( link is to a preprint version ) proves that solving the RSA problem using a generic ring algorithm is as difficult as factoring.
This Asiacrypt 2007 paper ( link is to a preprint version ) proves that solving the RSA problem using an oracle to some certain other special cases of the RSA problem is easier than factoring.

problem and was
The rustling problem was by no means solved.
The problem is to remove the accretions and thereby uncover the order that was always there.
`` I've been in government and I can tell some pretty hairy stories about personnel difficulties, so I know what a problem he was ''.
`` The entire object of the press conference was to clarify the problem of the list, since many in the press were querying the U.N. about it.
At this moment Mando came hurrying up to announce that the problem was solved and all Norton had to do was to sign a sheaf of papers.
The problem involved military necessity as much as morality, for in pre-penicillin days venereal disease was a crippling disability.
Lublin was the seed of action for the `` final solution '' of the Jewish problem.
In 1861, Mr. Brown's attention was called to yet another basic production problem -- the manufacture of twist drills.
The child of this problem was Mr. Brown's famous Serial No. 1 Universal Milling Machine, the archtype from which is descended today's universal knee-type milling machine used throughout the world.
I realized that Hamlet was faced with an entirely different problem, but his agony could have been no greater.
He didn't seem to think that attaching a pegboard to a stone wall was much of a problem and he tossed off the building of the worktable equally lightly.
We may say that his problem was diagnosed but that he refused treatment.
How this was accomplished may be described, since this sometimes is a crucial problem.
Centrally, however, the administrative problem was more complex and the sheer prestige of office was very likely an unfair advantage.
With the development of the Red Bridge Subdivision south of Kansas City, Missouri, the developer was faced with the problem of providing adequate sewage disposal.
It was proposed that aerated lagoons be used to eliminate the problem at the existing oxidation ponds and to provide the necessary treatment for the additional development.
It was approximately one month before the belt problem was noticed and corrected, but at no time was there a deficiency of dissolved oxygen.
The closed molding of flexible urethane foams has been a problem ever since the introduction of the material ( molding in open molds was more feasible ).
To solve the problem of the wheat grains spilling on the floor and getting underfoot, a ball of maple syrup boiled to candy consistency was invented to hold the grains.
If he foresaw any problem because of the quality of the hymen, it was recommended that simple procedures be undertaken at once to incise the hymen or, preferably, to dilate it.
Once the question of emancipation was settled to Palfrey's satisfaction, he faced a real problem in placing the freedmen in suitable homes as servants.

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