The sum, difference, product and quotient of two algebraic numbers is again algebraic ( this fact can be demonstrated using the resultant ), and the algebraic numbers therefore form a field, sometimes denoted by A ( which may also denote the adele ring ) or < span style =" text-decoration: overline ;"> Q </ span >.

This covering is then removed ( again before the paint dries ), and the resultant paint pattern becomes the basis of the finished painting.

Identical triplets or quadruplets are very rare and result when the original fertilized egg splits and then one of the resultant cells splits again ( for triplets ) or, even more rarely, a further split occurs ( for quadruplets ).

The resultant high temperature hypersonic flow can be used to simulate atmospheric re-entry of spacecraft or hypersonic craft, again with limited testing times.

Fannie Mae may also securitize mortgages from its own loan portfolio and sell the resultant mortgage-backed security to investors in the secondary mortgage market, again with a guarantee that the stated principal and interest payments will be timely passed through to the investor.

Following the terrorist attacks on September 11, 2001, the resultant initiation of Operation ENDURING FREEDOM ( OEF ), the 366th Wing once again got the call.

In the resultant fighting, Mount Hood is bombed and the dormant volcano starts to erupt again.

The resultant high temperature hypersonic flow can be used to simulate atmospheric re-entry of spacecraft or hypersonic craft, again with limited testing times.

Reopening in 1995, Luna Park closed again after thirteen months because of the Big Dipper rollercoaster: noise pollution complaints from residents on the clifftop above the park caused the ride's operating hours to be heavily restricted, and the resultant drop in attendance made the park unprofitable.

The resultant new prototypes are again subjected to flight tests.

Their analysis of military history convinced them that decisive and aggressive strategic offensive was the only doctrine of victory, and feared that overemphasis of firepower, and the resultant dependence on entrenchment would make this all but impossible, and leading to the battlefield stagnant in advantages of the defensive position, destroying troop morale and willingness to fight.

However, to use the " Charge Shot " function, the player must fight at least a few Crossover Battles, and trade the resultant points for a possible " Mega Power " protector.

If the rake angle **yc of the knife is high enough and the friction angle **yt between the front of the knife and the back of the chip is low enough to give a positive value for Af, the resultant vector R will lie above the plane of the substrate.

Hemoglobin in the blood carries oxygen from the respiratory organs ( lungs or gills ) to the rest of the body ( i. e. the tissues ) where it releases the oxygen to burn nutrients to provide energy to power the functions of the organism, and collects the resultant carbon dioxide to bring it back to the respiratory organs to be dispensed from the organism.

In the bow metaphor Heraclitus compares the resultant to a strung bow held in shape by an equilibrium of the string tension and spring action of the bow: There is a harmony in the bending back ( παλίντροπος palintropos ) as in the case of the bow and the lyre.

Cliff Branch hauled in a 72 yard touchdown pass from Raider QB Kenny Stabler when third year Dolphin defensive back Henry Stuckey, the man assigned to cover Branch on the play, fell down and the resultant wide open Branch caught the bomb and sprinted to the endzone.

In November 2003, following the October 2002 bombing of the French supertanker Limburg off the Yemen coast and the resultant dramatic drop in throughput at the Aden port, the Port of Singapore Authority sold its majority stake in the ACT back to the Yemeni government.

Bonds were sold against the company to fund the new developments, but after the Internet bubble burst in 2000 and the resultant reduction in customer demand for such products, Curtis Crawford was replaced by James ( Jim ) Thorburn who reorganized the company under Chapter 11 bankruptcy in late 2001 and refocused it back to the 8 and 16 bit microcontroller market.

In the resultant two-hour battle, it was beaten back with heavy losses, including its commanding officer Viktor Gräbner.

The Highways Agency did not anticipate the traffic flows through the junction and the resultant queues can now extend back onto the motorway.

The resultant servicing and market town resultantly developed its distinctive medieval layout, of a broad main street of burgesses ’ houses, each with a burgage plot stretching to a " back lane ": the Derwent bank on the north and Back Lane ( now South Street ), on the south.

Upon dilution with air it can spontaneously ignite, and the resultant flame can propagate back into the compartment, resulting in an event similar to a rich flashover.

If the user seeing that number displayed switches to " Hex " mode, " 0 " will appear on the resultant display, and if the user then switches back to " Dec " mode, " 0 " will still appear.

In 2012 National Australia Bank completed a strategic review of its UK businesses and decided to scale back operations, completely stopping Commercial Property Investment lending and closing 29 Financial Solutions Centres, with the resultant loss of 1400 jobs over 3 years.

They went back to the later period of Plato's thought, the period when Plato endeavoured to combine his doctrine of Ideas with the Pythagorean number-theory, and identified the Good with the Monad ( which would give rise to the Neoplatonic concept of the One ), the source of the duality of the Infinite and the Measured with the resultant scale of realities from the One down to the objects of the material world.

If a recorded broadcast is marked as copy protected, the resultant DVR-MS file can only be played back on the recording device.

Air, pure oxygen, or a number of other oxidizers can then oxidise the resultant CuCl back to CuCl < sub > 2 </ sub >, allowing the cycle to repeat.

On the back of the resultant publicity, he then wins the mayoral election, becoming the leader of Terminus.

It was the resultant of his previous good deeds that helped him to remember who he was and then get back to his previous position.

In some areas, notably Great Britain, resultant problems have led back to a more mixed solution.

The resultant interest in Egyptology in the 19th century led to the discovery of several sets of extensive ancient medical documents, including the Ebers papyrus, the Edwin Smith Papyrus, the Hearst Papyrus, the London Medical Papyrus and others dating back as far as 3000 BC.

Due to the potent combination of anticholinergic substances it contains, Datura intoxication typically produces effects similar to that of an anticholinergic delirium ( as contrasted to hallucination ): a complete inability to differentiate reality from fantasy ; hyperthermia ; tachycardia ; bizarre, and possibly violent behavior ; and severe mydriasis with resultant painful photophobia that can last several days.

All the layers are stacked, one above the next, in any desired order ; and the bottom layer is usually rendered as a base in the resultant image, with each higher layer being progressively rendered on top of the previously composited of layers, moving upward until all layers have been rendered into the final composite.

Of course, when a simple function is used to estimate data points from the original, interpolation errors are usually present ; however, depending on the problem domain and the interpolation method used, the gain in simplicity may be of greater value than the resultant loss in accuracy.

This Act was created to promote employment of older persons based on their ability rather than age ; to prohibit arbitrary age discrimination in employment ; to help employers and workers find ways of meeting problems arising from the impact of age on employment because in the face of rising productivity and affluence, older workers find themselves disadvantaged in their efforts to retain employment, and especially to regain employment when displaced from jobs ; the setting of arbitrary age limits regardless of potential for job performance has become a common practice, and certain otherwise desirable practices may work to the disadvantage of older persons ; the incidence of unemployment, especially long-term unemployment with resultant deterioration of skill, morale, and employer acceptability is, relative to the younger ages, high among older workers ; their numbers are great and growing ; and their employment problems grave ; and the existence in industries affecting commerce, of arbitrary discrimination in employment because of age, burdens commerce and the free flow of goods in commerce.

When the planes of an ionic bond slide past one another, the resultant change in location shifts ions of the same charge into close proximity, resulting in the cleavage of the crystal ; such shift is not observed in covalently bonded crystals where fracture and crystal fragmentation occurs.

The resultant academic and public quarrels concerned the scholarly merit, or lack thereof, of humanistic commentary about the physical sciences ; the influence of postmodern philosophy on social disciplines in general ; academic ethics, including whether Sokal was right or wrong to deceive the editors and readers of Social Text ; and whether the journal had exercised the appropriate intellectual rigor before publishing the pseudoscientific article.

It means resolving the conflict between the various competing goals, and involves the simultaneous pursuit of economic prosperity, environmental quality and social equity famously known as three dimensions ( triple bottom line ) with the resultant vector being technology, hence it is a continually evolving process ; the ' journey ' ( the process of achieving sustainability ) is of course vitally important, but only as a means of getting to the destination ( the desired future state ).

The results of that missile's explosion are the instant blinding of those who see the explosion, the resultant firestorm caused by the heat wave, and the blast front ; later, the collapse of society, because of radiation sickness, psychological damage, and destroyed infrastructure ; the British Army burns corpses, while police shoot looters during food riots.

Every resultant is either a sum or a difference of the co-operant forces ; their sum, when their directions are the same -- their difference, when their directions are contrary.

Ashley notes that it was once common for sailors ' wedding rings, where gold wire was wrought to incorporate the " true lovers " knot such that resultant ring would comprise two tori: each flexible to move about the other ; yet nevertheless inseparable.

For resistance measurements, usually a small constant current is passed through the device under test and the digital multimeter reads the resultant voltage drop ; this eliminates the scale compression found in analog meters, but requires a source of significant current.

Because the position of the exit pupil usually is unknown to the user of a lens, the rear conjugate focal distance is used instead ; the resultant theoretical error so introduced is insignificant with most types of photographic lenses.

Interviewed by the magistrate, he mentions it did not matter that he paused and then shot four more times ; Meursault is objective, there was no resultant, tangible difference: the Arab man died of one gunshot, and four more gunshots did not render him ' more dead '.