However, even if this problem were solved perfectly, it doesn't really end ignorance.
Mr. O'Hara had solved the problem without going to the police.
For the ancients these questions were solved by a belief in the direct participation of the Deity in human affairs.
This seemed to satisfy the official, who was obviously embarrassed over the entire debacle and infinitely relieved that at least half their problem was solved without any accusatory newspaper headlines.
While Fred, and to a lesser extent Cynthia, had solved cryptograms in the newspaper, neither were particularly adept at it.
She had hoped it solved all her issues.
Duclaux stated that the yeast question as regards low fermentation has been solved by Hansen's investigations.
The ancient geometry, as we know it, is a wonderful monument of ingenuity - a series of tours de force, in which each problem to all appearance stands alone, and, if solved, is solved by methods and principles peculiar to itself.
The problem of the curves is solved by their reduction to a problem of straight lines; and the locus of any point is determined by its distance from two given straight lines - the axes of co-ordinates.
To write an account of symphonic instrumentation in any detail would be like attempting a history of emotional expression; and all that we can do here is to point out that the problem which was, so to speak, shelved by the polyphonic device of the continuo, was for a long time solved only by methods which, in any hands but those of the greatest masters, were very inartistic conventions.
The problem of the genesis of mind is practically solved by identifying the soul, 1 This is brought out by F.
The difficulty is solved by the provision of a complete system of minute intercellular spaces which form a continuous series of delicate canals between the cells, extending throughout the whole substance of the plant.
In 1744 Alembert applied this principle to the theory of the equilibrium and the motion of fluids (Trcite de l'equilibre et du mouvement des fluides), and all the problems before solved by geometricians became in some measure its corollaries.
In 1749 he furnished a method of applying his principles to the motion of any body of a given figure; and in 1754 he solved the problem of the precession of the equinoxes, determined its quantity and explained the phenomenon of the nutation of the earth's axis.
The problem of obtaining a firm footing on the Baltic coast, on which Ivan the Terrible had squandered his resources to no purpose, was now solved satisfactorily.
A condition of tenure attached to this chair was that the holder should propose mathematical questions for solution, and should resign in favour of any person who solved them better than himself; but, notwithstanding this, Roberval was able to keep the chair till his death, which occurred at Paris on the 27th of October 1675.
Roberval was one of those mathematicians who, just before the invention of the infinitesimal calculus, occupied their attention with problems which are only soluble, or can be most easily solved, by some method involving limits or infinitesimals, and in the solution of which accordingly the calculus is always now employed.
This problem of religion was solved by Amos and by the prophets who succeeded him through a more exalted conception of Yahweh and His sphere of working, which tended to detach Him from His limited realm as a national deity.
The problem of the profitable treatment of the sulphide ores has been practically solved here.
The country was ravaged by a monster, the Sphinx; Oedipus solved the riddle which it proposed to its victims, freed the country, and married his own mother.
Even to the present day the legend has 1 It is probable that the story of the piercing of his feet is a subsequent invention to explain the name, or is due to a false etymology (from oih&o), 01St rovs in reality meaning the "wise" (from oTSa), chiefly in reference to his having solved the riddle, the syllable - irovs having no significance.
Among the great variety of problems solved are problems leading to determinate equations of the first degree in one, two, three or four variables, to determinate quadratic equations, and to indeterminate equations of the first degree in one or more variables, which are, however, transformed into determinate equations by arbitrarily assuming a value for one of the required numbers, Diophantus being always satisfied with a rational, even if fractional, result and not requiring a solution in integers.
Often assumptions are made which lead to equations in x which cannot be solved "rationally," i.e.
Kepler's Problem, namely, that of finding the co-ordinates of a planet at a given time, which is equivalent - given the mean anomaly - to that of determining the true anomaly, was solved approximately by Kepler, and more completely by Wallis, Newton and others.
This has taken the form of inoculating the soil with the particular organism required by the particular kind of leguminous crop. To this end the endeavour has been made to produce preparations which shall contain in portable form the organisms required by the several plants, and though, as yet, it can hardly be claimed that they have been generally successful, the work done justifies hopes that the problem will eventually be solved in a practical direction.
Origen thus solved, after his own fashion, a problem which his predecessor Clement had not even ventured to grapple with.
He solved the problem in characteristic fashion.
(I) the larger part of the hypodermis that exists in the maggot or caterpillar and is disf e b solved at the metamorphosis; (2) parts that remain comparatively quiescent previously, and that grow and develop when the other parts degenerate.
The problem of finding a radius vector satisfying this condition is one which can be solved only by successive approximations, or tentatively.
The problem could obviously be completely solved only when the composition of the air, and the parts played by its components, had been determined.
The first question has not yet been solved, although it has been speculated upon y ?
The laws of chemical combination were solved, in a measure, by John Dalton, and the solution expressed as Dalton's " atomic theory."
As a complete fusion between dramatic and musical movement, its very crudities point to its immense advance towards the solution of the problem, propounded chaotically at the beginning of the i 7th century by Monteverde, and solved in a simple form by Gluck.
Concessions were made to one side and the other; and the question of the right of " protection " was solved by the Turkish government itself undertaking the duty.
The presentation was accompanied by a kind of mathematical performance, in which Leonardo solved several hard problems proposed to him by John of Palermo, an imperial notary, whose name is met with in several documents dated between 1221 and 1240.
These problems are, however, certain to be solved in the near future, and then probably caoutchouc may be formed in other ways than from isoprene.
The general equation of degree 5 cannot be solved algebraically, but the roots can be expressed by means of elliptic modular functions.
The great variety of views amongst competent critics is significant of the difficulty of the problem, which can hardly be regarded as yet solved; this divergence of opinion perhaps points to the impossibility of maintaining the unity of chs.
The nature of this element is a problem which has been provisionally, but not conclusively, solved by many psychologists; the method is necessarily experimental, and all experiments on feeling are peculiarly difficult.
But their constitution is not yet solved, there even being some divergence of opinion as to their empirical formulae.
Nevertheless, many important problems relating to the distribution of magnetic induction may be solved by methods similar to those employed for the solution of analogous problems in electricity.
The particular problem - a heap (hau) and its seventh makes 19 - is solved as we should now solve a simple equation; but Ahmes varies his methods in other similar problems. This discovery carries the invention of algebra back to about 1700 B.C., if not earlier.
He solved quadratic equations both geometrically and algebraically, and also equations of the form x 2 "+ax n +b=o; he also proved certain relations between the sum of the first n natural numbers, and the sums of their squares and cubes.
Cubic equations were solved geometrically by determining the intersections of conic sections.
Cubic equations having been solved, biquadratics soon followed suit.
Substituting this, we find cot y = U-y, whence 5 7 y U(1+/-1-2:-+2...) - y3 -15-315' This equation is to be solved by successive approximation.
Ann., 18 95, 47, p. 317), with great mathematical skill, has solved the problem of the shadow thrown by a semi-infinite plane screen.
The determination of the O's and x's is a kinematical problem, solved as yet only for a few cases, such as those discussed above.
In the motion which can be solved by the elliptic function, the most general expression of the kinetic energy was shown by A.
He thus admits that to philosophize is to systematize, but holds that every systematization is narrowly circumscribed, and is therefore to be solved and completed with ever new systematization.
This expedient seems to have solved the problem.
This solved the difficulty of military service apparently, but with decisive consequences.
In 1953, James Watson and Francis Crick announced to the scientific world that they had solved the puzzle.
So these former farmers got jobs in factories, learned to repair equipment, solved problems, became line managers, suggested improvements to processes, and got paid for their effort.
"Yes, they are splendid, splendid youngsters," chimed in the count, who always solved questions that seemed to him perplexing by deciding that everything was splendid.
Without changing his careless attitude, Pierre looked at them over his spectacles unable to understand what they wanted or how they could go on living without having solved the problems that so absorbed him.
Yes, one must harness them, must harness them! he repeated to himself with inward rapture, feeling that these words and they alone expressed what he wanted to say and solved the question that tormented him.
The Chinese difficulty, so far as the mining population was concerned, was solved by the exhaustion of the extensive alluvial deposits; the miners' prejudice against the race, however, still exists, though they are no longer serious competitors, and the laws of some of the states forbid any Chinese to engage in mining without the express authority in writing of the minister of mines.
Would give negative, surd or imaginary values; Diophantus then traces how each element of the equation has arisen, and formulates the auxiliary problem of determining how the assumptions must be corrected so as to lead to an equation (in place of the "impossible" one) which can be solved rationally.
An attempt was made in 184 B.C. to get round it by an embankment thrown out into the sea: but it was probably not until early in the imperial period that a cutting in the rocks at the foot of the promontory (Pisco Montano) finally solved the problem.
1526), who solved the equation x 3 +ax=b.