It is deduced from the model existence theorem as follows: if there is no formal proof of a formula then adding its negation to the axioms gives a consisten theory, which has thus a model, so that the formula is not a semantic consequence of the initial theory.

An important consequence of the KAM theorem is that for a large set of initial conditions the motion remains perpetually quasiperiodic.

In consequence, Army forces deploying to Africa suffered serious initial reverses when encountering German armored combat units in Africa at Kasserine Pass and other major battles.

One consequence of this is that unlike helium-4, the amount of deuterium is very sensitive to initial conditions.

One performance issue is the 1 / 2 factor in the initial value of D. Since all of this is about the sign of the accumulated difference, then everything can be multiplied by 2 with no consequence.

Concomitant esotropias can arise as an initial problem, in which case they are designated as ' Primary ', as a consequence of loss or impairment of vision, in which case they are designated as ' Secondary ', or following overcorrection of an initial Exotropia in which case they are described as being ' Consecutive '.

Because of the high initial investments, many less wealthy nations cannot afford to develop or sustain appropriate infrastructure, and as a consequence people in these areas may spend a correspondingly higher fraction of their income on water.

As a consequence, initial combat encounters by the 24th Infantry division and other Army units at the Battle of Osan with North Korean armored spearheads proved disastrous.

The thermodynamic arrow of time and the Second law of thermodynamics are thought to be a consequence of the initial conditions in the early universe.

A simple consequence of the fluctuation theorem given above is that if we carry out an arbitrarily large ensemble of experiments from some initial time t = 0, and perform an ensemble average of time averages of the entropy production then an exact consequence of the FT is that the ensemble average cannot be negative for any value of the averaging time t:

After initial success, the attack had to be broken off in consequence of the danger posed to the Russian front following the Brussilow offensive of June 1916 and the subsequent transfer of formations to that threatened front.

A demonstration consists of a sequence of steps, each step justified by an initial or a previously demonstrated consequence.

According to Coleman, it is none other than the Congress itself — if and when the Congress should later be presented with valid ratifications from the required number of states — which has the discretion to arbitrate the question of whether too much time has elapsed between Congress ' initial proposal of that amendment and the most recent state ratification thereof assuming that, as a consequence of that most recent ratification, the legislatures of ( or conventions conducted within ) at least three-fourths of the states have ratified that amendment at one time or another.

A consequence of this potential energy function is that it is possible to shift the initial position of an electron by any lattice vector without changing any aspect of the problem, thereby defining a discrete symmetry.

Flood basalt provinces may also occur as a consequence of the initial hot-spot activity in ocean basins as well as on continents.

After the complexities under the " but for " test have been addressed, the courts may still deny compensation if the harm was a very remote consequence of the initial wrong.

Lesk concludes that the parameterization that Moseley discovered, and that he ' incorrectly ' interpreted in terms of the Bohr theory of hydrogen, is actually, predominantly a consequence of the difference of the value of the electron-electron repulsion in the initial and final states of the atom that undergoes the x-ray transition.

In 1948, as a consequence of their studies of nucleosynthesis in the early expanding Big Bang universe model, they made the first theoretical prediction of the existence of a residual, homogeneous, isotopic, blackbody radiation ( cosmic microwave background radiation ) that pervades the universe as a vestige of the initial Big Bang explosion.

From an evolutionary perspective, a convoluted structure such as the inverted retina can generally come about as a consequence of two alternative processes ; ( a ) an advantageous " good " compromise between competing functional limitations, or ( b ) as a historical maladaptive relic of the convoluted path of organ evolution and transformation.

During the same period the tribe split into four different competing groups living in different villages, a consequence of rivalry between three groups of conservatives, who favored retaining traditional ways, and one group under White Plume which favored accommodation with the United States.

The apparent distinctness of the species and the failure of the early introductions raises the question of whether the Heath Hen was uniquely ( by comparison with its relatives ) adapted to the more oceanic climate of its former area of occurrence, and in consequence, whether a future attempt to establish a population of the western birds on Martha's Vineyard could be bound to fail, possibly even by competing for funding and other resources jeopardizing the extant but much declined populations of the prairie-chickens.

As a consequence of this parliamentary evolution, the sovereign's right to the throne became more concrete, seeing the opposition scrutinise government legislation and policies, rather than engage in disputes between competing candidates for the Crown, each supported by different religious and economic groups.

As a general theory of criminal behavior, conflict theory proposes that crime is an inevitable consequence of the conflict which arises between competing groups within society.

He claims that Copernicus arrived at the Earth's true relation to the Sun not as a consequence of following a method, but via " the greater intellectual satisfaction he derived from the celestial panorama as seen from the Sun instead of the Earth.

The naval operations of this war were entangled with the War of Jenkins ' Ear, which broke out in 1739 in consequence of the long disputes between Britain and Spain over their conflicting claims in America.

In June 1986, the Waitangi Tribunal received the Wai 26 claim that the Treaty of Waitangi was breached by the Crown proceeding to introduce legislation related to Māori language before the delivery of the Tribunal's " Report on the Te Reo Maori Claim ", and as a consequence the Māori people would be denied their claims for radio frequencies and a television channel.

In June 1986, the Waitangi Tribunal received the Wai 26 claim that the Treaty of Waitangi was breached by the Crown proceeding to introduce legislation related to Māori language before the delivery of the Tribunal's " Report on the Te Reo Maori Claim ", and as a consequence the Māori people would be denied their claims for radio frequencies and a television channel.

He claims that any effort to explain this phenomenon solely in terms of micro or macro level causes will result in a circular cause and consequence logical fallacy.

On the other hand, " vegetables contain a relatively high proportion of vitamins ", " smoking causes cancer ", and " a common consequence of sacrificing liberty for security is a loss of both " are positive claims.

In consequence, according to two big studies of motor vehicle accident tort claims ( not just lawsuits ), payments to lawyers equalled 47 percent of the total personal injury benefits paid by liability insurers to third-party accident victims.

In a highly inflammatory section of the Apology, Socrates claims that no greater good has happened to Athens than his concern for his fellow citizens, that wealth is a consequence of goodness ( and not the other way around ), that God does not permit a better man to be harmed by a worse, and that, in the strongest statement he gives of his task, he is a stinging gadfly and the state a lazy horse, " and all day long I will never cease to settle here, there and everywhere, rousing, persuading and reproving every one of you.

The sentence commutation, often mistakenly referred to as a " pardon ," was controversial because there are claims that it was a consequence of Carlos's father, Horacio Carlos Vignali's, monetary contributions to politicians such as Antonio Villaraigosa, Robert Hertzberg and Xavier Becerra, who in turn petitioned Clinton for the younger Vignali's release.

Dr. Hatfill, who claims he has lost his professional reputation and employment prospects as a consequence of being publicly identified, alleges that the Justice Department and the FBI used the phrase as an excuse to implicate him personally, without commencing legal proceedings, to divert media attention from their own failure to charge a suspect for the attacks.

However, in claims sounding in money, the total of any such success fee payable by the client to the legal practitioner may not exceed 25 % of the total amount awarded or any amount obtained by the client in consequence of the proceedings concerned, which may not, for the purposes of calculating such excess, include any costs.

The provisional priority date is of little consequence for any claims in the issued patent that are not supported by the disclosure in the priority document.

The environmental consequence of this discovery was that, since stratospheric ozone absorbs most of the ultraviolet-B ( UV-B ) radiation reaching the surface of the planet, depletion of the ozone layer by CFCs would lead to an in increase in UV-B radiation at the surface, resulting in an increase in skin cancer and other impacts such as damage to crops and to marine phytoplankton.

Although Dirac did not at first fully appreciate what his own equation was telling him, his resolute faith in the logic of mathematics as a means to physical reasoning, his explanation of spin as a consequence of the union of quantum mechanics and relativity, and the eventual discovery of the positron, represents one of the great triumphs of theoretical physics, fully on a par with the work of Newton, Maxwell, and Einstein before him.

His Tracts on the Probability of reaching the North Pole ( 1775 ) were written in consequence of the northern voyage of discovery undertaken by Captain Constantine John Phipps, afterwards Lord Mulgrave ( 1744 – 1792 ).

As a consequence of this action, she risks her eventual discovery and death, should the government shut down and wipe the interplanetary network.

This annexation was a consequence of the discovery there of rich diamond mines, an event which was destined to have far-reaching results.

Initially using the sea slug as an experimental model but later working with mice, he established that the formation of memories is a consequence of short and long-term changes in the biochemistry of nerve cellsGreengard was recognized for his discovery that dopamine and a number of other transmitters can alter the functional state of neuronal proteins, and also that such changes could be reversed by subsequent environmental signals.

In 1962, Dalí said his painting was intended " to express for the first time in images Freud's discovery of the typical dream with a lengthy narrative, the consequence of the instantaneousness of a chance event which causes the sleeper to wake up.

* Marcus Licinius Lucullus, praetor peregrinus in 186 BC, he and his colleagues were compelled to suspend all judicial proceedings for thirty days, in consequence of the alarm caused by the discovery of the cult of Bacchus at Rome.

In a non-course lecture delivered to a freshman physics audience, Feynman undertakes to present an elementary, geometric demonstration of Newton's discovery of the fact that Kepler's first observation, that the planets travel in elliptical orbits, is a necessary consequence of Kepler's other two observations.