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Page "Combinatorics" ¶ 17
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solution and problem
For them only a little more needed to be learned, and then all physical knowledge could be neatly sorted, packaged and put in the inventory to be drawn on for the solution of any human problem.
The main question raised by the incident is how much longer will UN bury its head in the sand on the Congo problem instead of facing the bitter fact that it has no solution in present terms??
The new column by Maurice Stans regarding business scandals, is fair and accurate in most respects and his solution to the problem has some merit.
Lublin was the seed of action for the `` final solution '' of the Jewish problem.
No satisfactory solution has been found, but this is due more to the difficulties inherent in the problem than to a lack of interest or diligence on the part of the assessors.
It is doubtful that the complete solution to the over-all problem can result entirely from company efforts.
We suggest the application of certain data-processing techniques as a solution to the problem.
One solution to the problem is to operate with a low loop gain and to include low-pass filters.
He considered them with brooding eyes, brows bunched as his brain grappled with the problem and tried to find some solution.
In law, an answer was originally a solemn assertion in opposition to someone or something, and thus generally any counter-statement or defense, a reply to a question or response, or objection, or a correct solution of a problem.
Apple solved this problem using an AppleBus-like solution, using a single port on the back of the computer into which the user could plug an adaptor for any given cabling system.
A standard solution to this problem is found in Zermelo's set theory, which does not allow the unrestricted formation of sets from arbitrary properties.
This rule provides states with a solution to the problem of power plant pollution that drifts from one state to another.
Albert Einstein ( in one of his 1905 papers ) and Marian Smoluchowski ( 1906 ) brought the solution of the problem to the attention of physicists, and presented it as a way to indirectly confirm the existence of atoms and molecules.
In a more detailed 2003 Fortune article, Buffett proposed a tool called Import Certificates as a solution to the United States ' problem and ensure balanced trade.
The memoradum stated that " I am assured that the solution of the problem of Palestine which would be much the most welcome to the leaders and supporters of the Zionist movement throughout the world would be the annexation of the country to the British Empire ".
Many combinatorial questions have historically been considered in isolation, giving an ad hoc solution to a problem arising in some mathematical context.
Although it is widely accepted that Descartes explained the problem cogently, few later philosophers have been happy with his solution, and his ideas about the pineal gland have especially been ridiculed.
Later the meaning expanded, indicating a person who is a quick thinker in finding a solution for a problem.
Informally, it asks whether every problem whose solution can be quickly verified by a computer can also be quickly solved by a computer.
This problem leads to an equation of the eighth degree, of which one solution, the Earth's orbit, is known.
This is justified, if unsatisfactorily, by Gauss in his " Disquisitiones Arithmeticae ", where he states that all analysis ( i. e., the paths one travelled to reach the solution of a problem ) must be suppressed for sake of brevity.
One partial solution to this problem has been to double pump the bus.
Eddington's proposed solution to the perceived problem was to modify relativistic mechanics so as to make the law P = K < sub > 1 </ sub > ρ < sup > 5 / 3 </ sup > universally applicable, even for large ρ.

solution and is
It follows that the solution to the current disunity of the free nations is only to a very limited extent a matter of devising new machinery of consultation and coordination.
Your suggested solution, it seems to me, is grossly oversimplified and is inconsistent with your generally realistic attitude toward, and endorsement of, sound planning.
But the solution to this dilemma is not the incorporation of the United States into an Atlantic Community or `` economic empire '', but merely what libertarians like Henry Hazlitt and Ludwig Von Mises have been arguing for years: an end to government regulations, an end to government competition in industry, and a realistic depreciation allowance for industry.
Best solution is to find an area that is predominantly sunlight or shade.
One solution is the aquisition of degrees in education but it is a poor substitute.
As is well known, detergent actives belong to the chemical class consisting of moderately high molecular weight and highly polar molecules which exhibit the property of forming micelles in solution.
We can escape from such a difficulty by ruling out the animal as not constituting a trial, but such a solution is not always satisfactory.
As `` a matter of fact no such complete solution of the dream has ever been accomplished in any case,, and what is more, every one attempting such solution has found that in most cases there have remained a great many components of the dream the source of which he has been unable to explain nor is the discussion closed on the subject of the mantic or prophetic power of dreams ''.
Instead of emotional recrimination, loaded phrases and sloganeering, we need a dispassionate study of the facts, a better understanding of the opposite viewpoint and a more serious effort to extend the areas of agreement until a solution is reached.
If one lives near a subway or an express parkway, the solution is to have one's wines stored with a dealer and brought home a few at a time.
The solution, naturally, is the bus.
Generally, an answer is a reply to a question or is a solution, a retaliation, or a response that is relevant to the said question.

solution and special
The two perspectives are related by a process of extension: wherever there is a horizon, a particular solution of General Relativity can be extended beyond it by assuming that nothing special happens there ( i. e., that it " looks like " the region within the horizon ).
The results on the existence of a solution to the conjugation equation depend on the eigenvalues of J and the degree of smoothness required from h. As J does not need to have any special symmetries, its eigenvalues will typically be complex numbers.
Proposing a solution to the theological problem of reconciling the doctrine with that of universal redemption in Christ, he argued that Mary's immaculate conception did not remove her from redemption by Christ ; rather it was the result of a more perfect redemption granted her because of her special role in salvation history.
Lorentz and Fitzgerald offered within the framework of Lorentz ether theory a more elegant solution to how the motion of an absolute aether could be undetectable ( length contraction ), but if their equations were correct, the new special theory of relativity ( 1905 ) could generate the same mathematics without referring to an aether at all.
Most n-body problems have no closed form solution, although some special cases have been formulated.
The special case where all the polynomials are of degree one is called a system of linear equations, for which another range of different solution methods exist, including the classical Gaussian elimination.
The exposure to light causes a chemical change that allows some of the photoresist to be removed by a special solution, called " developer " by analogy with photographic developer.
With no solution for this problem known at the time, it appeared that a fundamental incompatibility existed between special relativity and quantum mechanics.
He is a habitual user of cocaine, which he injects in a seven-per-cent solution using a special syringe that he keeps in a leather case.
To detect the burrow, the suspected area is rubbed with ink from a fountain pen or a topical tetracycline solution, which glows under a special light.
Though solids are usually dissolved into an aqueous solution, other solvents such as glacial acetic acid or ethanol are used for special purposes ( as in petrochemistry ).
2007 marked the twenty-fifth anniversary of Fighting Fantasy, and to commemorate the event Wizard Books published a special hardcover edition of The Warlock of Firetop Mountain that used the original 1982 cover image and contained extra material such as the dungeon solution and a commentary on Fighting Fantasy by Livingstone.
There is a special oral rehydration solution called ReSoMal which has less sodium and more potassium than standard solution.
In post-processing a nanometer thin polymeric lubricant layer gets deposited on top of the sputtered structure by dipping the disk into a solvent solution, after which the disk is buffed by various processes to eliminate small defects and verified by a special sensor on a flying head for absence of any remaining impurities or other defects ( where the size of the bit given above roughly sets the scale for what constitutes a significant defect size ).
Wastes and excess water move from the blood, across the peritoneal membrane, and into a special dialysis solution, called dialysate, in the abdominal cavity which has a composition similar to the fluid portion of blood.
Doubling the cube and trisection of an angle ( except for special angles such as any φ such that φ / 6π is a rational number with denominator the product of a power of two and a set of distinct Fermat primes ) require ratios which are the solution to cubic equations, while squaring the circle requires a transcendental ratio.
− 1, c = − 1, the solution for x is: √((− 1 ) 2 − 4 · 1 ·(− 1 )))/( 2 · 1 ) or √( 5 ))/ 2 .</ ref > which when studied has special mathematical properties.
The special prize in 2005 was awarded to Iurie Boreico, a student from Moldova, who came up with a brilliant solution to question 3, which was an inequality involving three variables.
These problems and their solution led to the development of the Lorentz transformation and special relativity ( see Fallout ).
The solution was now a new branch of the Bakerloo line from Baker Street to serve St John's Wood and Swiss Cottage, thereby rendering the existing stations of Lord's, Marlborough Road and Swiss Cottage on the parallel route redundant, and negating the need for the Met's extension from Edgware Road station ( it should be noted, however, that Swiss Cottage ( Metropolitan ) was proposed to remain open during peak hours for interchange with the Bakerloo, and that Lord's station would further open for special cricketing events.
* Numerical analysis – Approximate numerical solution of mathematical problems such as root-finding, integration, the solution of ordinary differential equations ; the approximation of special functions.
A residue or precipitate in a chemical analysis method can be collected or filtered from some sample or solution on special " ashless " filter paper.

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