That is why the form itself becomes a preoccupation, because it exists as a problem separate from the material it accommodates.

The specific analogy to the dilemma of love is the problem of the `` breakthrough '' in the realm of art.

This is an unsolved problem which probably has never been seriously investigated, although one frequently hears the comment that we have insufficient specialists of the kind who can compete with the Germans or Swiss, for example, in precision machinery and mathematics, or the Finns in geochemistry.

But the problem is one which gives us the measure of a man, rather than a group of men, whether a group of doctors, a group of party members assembled at a dinner to give their opinion, or the masses of the voters.

In the incessant struggle with recalcitrant political fact he learns to focus the essence of a problem in the significant detail, and to articulate the distinctions which clarify the detail as significant, with what is sometimes astounding rapidity.

The problem is to remove the accretions and thereby uncover the order that was always there.

Moral dread is seen as the other face of desire, and here psychoanalysis delivers to the writer a magnificent irony and a moral problem of great complexity.

The maturity in this point of view lies in its recognition that no basic problem is ever solved without being clearly understood.

The problem is rather to find out what is actually happening, and this is especially difficult for the reason that `` we are busily being defended from a knowledge of the present, sometimes by the very agencies -- our educational system, our mass media, our statesmen -- on which we have had to rely most heavily for understanding of ourselves ''.

Ptolemy's problem is to forecast where, against the inverted bowl of night, some particular light will be found at future times.

The distances of these points of light is a problem he cannot master, beyond crude conjectures as to the orderings of the planetary orbits viewed outward from earth.

This is a problem to be solved not by America alone, but also by every nation cherishing the same ideals and in position to provide help.

The problem, in other words, is strictly a chronological one.

The problem of NATO is not one of machinery, of which there is an abundance, but of the will to use it.

Our problem, therefore, is to devise processes more modest in their aspirations, adjusted to the real world of sovereign nation states and diverse and hostile communities.

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 only real problem is to devise a plan whereby the owners of the above-water land can develop their property without the public losing its underwater land and the right to its development for public use and enjoyment.

Biggest organizational problem, he adds, is setting up CDC units in rock-ribbed Democratic territory.

If they are to be commended for foresight in their planning, what then is the judgment of a town council that compounds this problem during the planning stage??

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.

The whole problem of `` peaceful coexistence and peaceful competition '' with the capitalist world is in the very center of this Congress.

But this is not the real problem ; ;

The problem with this idea is that while the faster moving molecules produce more force, they also do a better job of stopping other molecules from reaching the vane, so the net force on the vane should be exactly the same — the greater temperature causes a decrease in local density which results in the same force on both sides.

Of the 12 fundamental solutions to the problem with eight queens on an 8x8 board, exactly one is equal to its own 180 degree rotation, and none are equal to their 90 degree rotation, thus the number of distinct solutions is 11 * 8 + 1 * 4 = 92 ( where the 8 is derived from four 90-degree rotational positions and their reflections, and the 4 is derived from two 180-degree rotational positions and their reflections ).

Stereophonic sound provided a partial solution to the problem of creating some semblance of the illusion of live orchestral performers by creating a phantom middle channel when the listener sits exactly in the middle of the two front loudspeakers.

:" The fundamental problem of communication is that of reproducing at one point, either exactly or approximately, a message selected at another point.

It is not known exactly which complexity classes contain the decision version of the integer factorization problem.

Rather than continue to struggle to find out exactly what is causing the bug and how to fix it, the programmer may hack the problem by the simple kludge of writing new code which compensates.

The method for best reducing light pollution, therefore, depends on exactly what the problem is in any given instance.

To this Newtonian approximation, for a system of two point masses or spherical bodies, only influenced by their mutual gravitation ( the two-body problem ), the orbits can be exactly calculated.

This problem is exactly what patients with Wernicke ’ s aphasia have in their own language: they can't isolate significant sound characteristics and classify them into known meaningful systems.

It is a minimization problem starting and finishing at a specified vertex after having visited each other vertex exactly once.

A related problem is to explain how someone's propositional attitudes ( e. g. beliefs and desires ) can cause that individual's neurons to fire and his muscles to contract in exactly the correct manner.

The problem with natural binary codes is that, with real ( mechanical ) switches, it is very unlikely that switches will change states exactly in synchrony.

Haldeman introduces the topic as follows: "… the Democratic break-in thing, we're back to the – in the, the problem area because the FBI is not under control, because Gray doesn't exactly know how to control them, and they have … their investigation is now leading into some productive areas and it goes in some directions we don't want it to go.

Stated this way, compass and straightedge constructions appear to be a parlour game, rather than a serious practical problem ; but the purpose of the restriction is to ensure that constructions can be proven to be exactly correct, and is thus important to both drafting ( design by both CAD software and traditional drafting with pencil, paper, straight-edge and compass ) and the science of weights and measures, in which exact synthesis from reference bodies or materials is extremely important.

The solution for the problem as stated in the story (" when the area of the two outer crescents, added together, is exactly equal to that of the leaf-shaped piece in the middle ") is approximately 0. 529864.

A related problem is squaring the plane, which can be done even with the restriction that each natural number occurs exactly once as a size of a square in the tiling.

However, this maximization problem has exactly the same form as in the purely resistive case, and the maximizing condition can be found in the same way.

Perturbation theory comprises mathematical methods that are used to find an approximate solution to a problem which cannot be solved exactly, by starting from the exact solution of a related problem.

Perturbation theory is applicable if the problem at hand can be formulated by adding a " small " term to the mathematical description of the exactly solvable problem.

Perturbation theory leads to an expression for the desired solution in terms of a formal power series in some " small " parameter – known as a perturbation series – that quantifies the deviation from the exactly solvable problem.

The leading term in this power series is the solution of the exactly solvable problem, while further terms describe the deviation in the solution, due to the deviation from the initial problem.

In this example, would be the known solution to the exactly solvable initial problem and, ... represent the higher-order terms which may be found iteratively by some systematic procedure.