It was while working on this problem that he discovered transfinite ordinals, which occurred as indices n in the nth derived set p ( n ) of a set S of zeros of a trigonometric series.

The alert occurred when there was a fatal problem with the system.

Keynes argued that when a glut occurred, it was the over-reaction of producers and the laying off of workers that led to a fall in demand and perpetuating the problem.

Another problem occurred in April, when he had to have a heart valve replaced due to the septicemia.

A greater problem occurred in the election of 1800, in which the two participating parties each had a secondary candidate they intended to elect as Vice President, but the more popular Democratic-Republican party failed to execute that plan with their electoral votes.

It is considered good practice to send a notification not only when a problem has occurred, but also when it has been resolved.

A second problem occurred when government policies allowed, or even encouraged, a housing bubble to develop, " on an immense scale ".

The problem in Ezra and Nehemiah occurred because Jewish men married women from the various nations without their first converting to Judaism.

The major theoretical problem with applying cladistics to textual criticism is that cladistics assumes that, once a branching has occurred in the family tree, the two branches cannot rejoin ; so all similarities can be taken as evidence of common ancestry.

While this had occurred on various Vostok and Voskhod flights, it was a much more serious problem for Volynov, as the Soyuz service module was much larger than the small retropack the earlier vehicles employed.

In 1826, the idea occurred to him of attacking this problem by means of pendulum experiments at the top and bottom of a deep mine.

The first occurred was the late 1970s when there were a number of unsolved problems such as the horizon problem, the flatness problem, and the lack of magnetic monopoles challenged the big bang model.

Another problem occurred that year when he suffered burns to his hands from a methanol fire during practice for the Indianapolis 500.

Skeptical archaeologists see the electrical experiments as embodying a key problem with experimental archaeology, saying that such experiments can only show that something was physically possible, but do not confirm that it actually occurred.

The same year, Montespan became the official mistress of the king, and after this, she employed La Voisin whenever a problem occurred in her relationship with the king.

Electrical blackouts frequently result from a cascade of failures between interdependent networks, and the problem has been dramatically exemplified by the several large-scale blackouts that have occurred in recent years.

This problem plagues most hypotheses of how multicellularisation could have occurred.

If it has occurred, it has not been a major problem.

The usual purpose of attempting to find root causes is to solve a problem that has actually occurred, or to prevent a less serious problem from escalating to an unacceptable level ( see Near miss ( safety ), for example ).

The Miguel Alemán Dam on the Tonto river reduced the problem, but further floods occurred after it had been completed in 1955.

A different problem occurred when using a double-density diskette in the 1. 2 MB drive ; the high-density drive's heads had a track width half that of the 360 kB drive, so they were incapable of fully erasing and overwriting tracks written by a 360 kB drive.

A further breach occurred on 25 May 1942, near Nantgarw and, although engineers examined the problem, no work was carried out.

recently only Keith Wheeler's novel, Peaceable Lane, has openly faced the 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 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.

Not only, as we know, did Chou En-lai publicly treat Khrushchev's attack on Albania as `` something that we cannot consider as a serious Marxist-Leninist approach '' to the problem ( i.e., as something thoroughly dictatorial and `` undemocratic '' ), but the Albanian leaders went out of their way to be openly abusive to Khrushchev, calling him a liar, a bully, and so on.

A well-publicized entrant which has achieved success only recently is the built liquid detergent, with which the major problem today is incorporation of builder and active into a small volume using a sufficiently high builder/active ratio.

There has been a tendency on the part of many American linguists to assume that a phonemic transcription will automatically be the best possible orthography and that the only real problem will then be the social one of securing acceptance.

Since the company under review is supplying what we are here regarding as only one kind of service, we might suppose that the problem of total cost apportionment would be very simple ; ;

Prestige, however, is only a minor part of the problem ; ;

When a man invests a block of his years at a university without gaining the coveted promotion, not only is he faced with the problem of starting over but there is also a certain depreciation in the market value of his services.

" The problem then becomes that of constructing a well-ordering, which turns out to require the axiom of choice for its existence ; every set can be well-ordered if and only if the axiom of choice holds.

The discovery of CP violation helped to shed light on this problem by showing that this symmetry, originally thought to be perfect, was only approximate.

For the frequent case of propositional logic, the problem is decidable but Co-NP-complete, and hence only exponential-time algorithms are believed to exist for general proof tasks.

The problem of acid rain has not only increased with population and industrial growth, but has become more widespread.

This is a problem that the government is trying to solve by linking the liberation of new technologies ( such as WiMax or PLC ) only tied with compromises on extension of the service to less populated regions.

Remaining issues, such as the cuspy halo problem and the dwarf galaxy problem of cold dark matter, are not fatal to the dark matter explanation as solutions to such problems exist which involve only further refinements of the theory.

A backplane does not suffer from this problem, so its service life is limited only by the longevity of its connectors.

The problem was exacerbated by the orders to only anchor at the bow, which allowed the ships to swing with the wind and widened the gaps.

In complexity theory, the satisfiability problem ( SAT ) is a decision problem, whose instance is a Boolean expression written using only AND, OR, NOT, variables, and parentheses.

If we allow only quantifiers, it becomes the Co-NP-complete tautology problem.

: When forces that are hostile to socialism try to turn the development of some socialist country towards capitalism, it becomes not only a problem of the country concerned, but a common problem and concern of all socialist countries.

Laissez-faire advocates criticize the term as an ideologically motivated attempt to cast what is in their view the fundamental problem of government intervention or “ investments ” as an avoidable aberration ; free-market advocates refer to governmental favoritism as " crony socialism ", " venture socialism " or " corporatism, a modern form of mercantilism " to emphasize that the only way to run a profitable business in such systems is to have help from corrupt government officials.

Bell appealed both requirements, citing that the rules do not apply to cable companies and that they constituted proactive rate regulation by the CRTC, which goes against government official policy direction that the regulator only intervene in markets after a competitive problem has been proven.