While not publishing mathematical research in conventional ways during the 1980s, he produced several influential manuscripts with limited distribution, with both mathematical and biographical content.

While tanks are seen as being integral to armoured warfare, in forces with a remit of power projection deployability has always been a consideration, which conventional main battle tanks cannot provide.

While " distortion " can include arbitrary deformation of an image, the most pronounced modes of distortion produced by conventional imaging optics is " barrel distortion ", in which the center of the image is magnified more than the perimeter ( figure 7a ).

While early German tanks, Stuka dive-bombers and concentrated forces were used in the Polish campaign, the majority of the battle was conventional infantry and artillery based warfare and most Luftwaffe action was independent of the ground campaign.

While church members point out that followers are free to choose to seek conventional medical treatment, most rely exclusively on healing by prayer.

While ballistic missiles were the preferred weapons for land targets, heavy nuclear and conventional tipped cruise missiles were seen by the USSR as a primary weapon to destroy US naval carrier battle groups.

While conventional tax credit systems are structured to treat all private school participants equally, neovoucher systems effectively delegate to individual private taxpayers ( those owing money to the state ) the power to decide which private schools will benefit.

While the side-stick offers the advantages of being lighter, mechanically simpler, and unobtrusive, The Boeing Company's aerospace engineers decided that the lack of visual feedback ( none given by side-sticks ) is a significant problem, and so they designed conventional control yokes in the Boeing 777 and the Boeing 787, which entered service on 26 October 2011 with All Nippon Airways.

While most of his proposals-" to abandon the gold standard, let international exchange rates float, use federal surpluses and deficits as macroeconomic policy tools that could counter cyclical trends, and establish bureaus of economic statistics ( including a consumer price index ) in order to facilitate this effort "-are now conventional practice, his critique of fractional-reserve banking still " remains outside the bounds of conventional wisdom ".

While conventional chemistry uses inexact processes obtaining inexact results, and biology exploits inexact processes to obtain definitive results, molecular nanotechnology would employ original definitive processes to obtain definitive results.

While conventional apartments are more cost-effective with better amenities, tenants unable to pay first and last month's rent in advance or undesirable to residential landlords due to unemployment, criminal records or credit problems do seek low-end residential motels due to perceived lack of viable short-term options.

While long-distance inland calls have been offered by calling cards, by the mid-2000s conventional carriers reduced their rates to be competitive ; however in many countries calling-card type indirect services can be much cheaper than normal calls.

While the album is almost completely guitar-driven, it is mostly devoid of any conventional sounding guitar solos, a conscious decision made by Lifeson during the writing process.

While conventional analgesic pain killers such as paracetamol ( acetaminophen ) or NSAIDs provide initial relief for some sufferers, the pain is often more neurologic in nature, which often does not respond well to these drugs.

While the V bombers no longer held precedence in Britain's nuclear strategic planning, superseded by aircraft such as the SEPECAT Jaguar and Panavia Tornado, which carried smaller tactical nuclear weapons, the Avro Vulcan would be perhaps best remembered for its conventional long range bombing raids during the 1982 Falklands War.

While direct measurement of the most violent tornado wind speeds is nearly impossible, since conventional anemometers would be destroyed by the intense winds, some tornadoes have been scanned by mobile Doppler radar units, which can provide a good estimate of the tornado's winds.

While conventional bunker busters utilize several methods to penetrate concrete structures, these are for the purpose of destroying the structure directly, and are generally limited in how much of a bunker, or system of bunkers they can destroy by depth and their relatively low explosive force ( versus nuclear weapons ).

While the state of Missouri granted the right to award the MD degree, he remained dissatisfied with the limitations of conventional medicine and instead chose to retain the distinction of the DO degree.

While serving to ward off enemy fleets and bolster Earth's defenses against most conventional assaults, it proved insufficiently powerful against large asteroids and small moons, as when in the book the moon Iapetus was hurled at Earth to " crack it open like a bullet through butter.

While considered useless by a conventional military, such a weapon raises concerns over nuclear terrorism.

While many millennial groups are pacifist, millenarian beliefs have been claimed as causes for people to ignore conventional rules of behavior, which can result in violence directed inwards ( such as the Jonestown mass suicides ) and / or outwards ( such as the Aum Shinrikyo terrorist acts ).

While the conventional view of leadership is rather satisfying to people who " want to be told what to do ", these critics say that one should question why they are being subjected to a will or intellect other than their own if the leader is not a Subject Matter Expert ( SME ).

Of the package, Bob Neaverson wrote " While it certainly solved the song quota problem, one suspects that it was also partly born of The Beatles ' pioneering desire to experiment with conventional formats and packaging ".

While Ignatius of Antioch offers the earliest clear description of monarchial bishops ( a single bishop over all house churches in a city ) he is an advocate of monepiscopal structure rather than describing an accepted reality.

While other knowledge could be a figment of imagination, deception or mistake, the very act of doubting one's own existence serves to some people as proof of the reality of one's own existence, or at least that of one's thought.

While stylistically influenced by the Post-Impressionists, what evolved was a subject matter which was symbolist in content, depicting a state of mind rather than an external reality.

While a slight bow to the overall developer community to allow something looking like direct access ( e. g. thereby breaking the Information Hiding Principle ), the practice is dangerous as it hides or obfuscates the reality of a " setter " being used.

The EPR paper ends by saying: While we have thus shown that the wave function does not provide a complete description of the physical reality, we left open the question of whether or not such a description exists.

While many cases an alien language is but an element of fictional reality, in a number of science fiction works the core of the plot are linguistic and psychological problems of communication between various alien races.

While Fascism claimed that corporatism gave workers power alongside employer in workplaces in reality the concept of " Fuhrerprinzip " gave employers and State-appointed workplace managers absolute control over the workplace as dictated by the State-owned German Labor Front ; based on the Social Darwinist ideology that certain individuals are " gifted " and " born to rule ", employers thought to be part of that group.

While obviously enjoyed by many as a bit of fun, an adrenaline rush, or an escape from reality, outdoor sport is also frequently used as an extremely effective medium in education and team building.

While the former claim may or may not have some basis in reality, the latter seems improbable.

While the Constitution of the Soviet Union described that union as a " unitary, federal and multinational state ", it was in reality a unitary state as each Soviet Socialist Republic was dominated by the Communist Party.

While there were many good best-selling writers before him, King, more than anybody since John D. MacDonald, brought reality to genre novels.

While the observation of objects in space, known as astronomy, predates reliable recorded history, it was the development of large and relatively efficient rockets during the early 20th century that allowed physical space exploration to become a reality.

While it is a popular belief that it is illegal to pick the common Trillium grandiflorum ( white trillium ) in Ontario, in reality they are only protected in provincial parks and land owned by conservation authorities.

While roads and features appear as abstract representations without resemblance to reality, their locations, orientations, and distances are as accurate as possible to make the map practical.

While some point to affordability for this action, in reality it was in response to Oregon State law.

While this suggests that the resource will be used up more quickly, in reality, the production curve is much more akin to a bell curve.

While illusions distort reality, they are generally shared by most people.

" While the public mistakenly presumes that this federal agency is hard at work conducting complicated tests on every new model of truck, van, car, and SUV, in reality, just 18 of the EPA ’ s 17, 000 employees work in the automobile-testing department in Ann Arbor, Michigan, examining 200 to 250 vehicles a year, or roughly 15 percent of new models.

While Grewe was somewhat circumspect, the foreign minister, Brentano, made it clear that regardless of the economic consequences the Federal Republic would immediately break off diplomatic relations with any state that recognized the German Democratic Republic de jure or recognized the " reality of two German states ".

While theoretically democratic, in reality the councils were often determined by the occupiers.

While the The New York Times reported Google wished to start selling virtual eyeglasses not only for entertainment but also for information and augmented reality by the end of 2012, more recent statements from Google about " Project Glass " ( as it is now called ) have said a 2012 commercial release is unlikely.

The Vigilant Citizen further reports: " While Feldman does not directly mention Monarch mind control ( which is used on Hollywood child stars and is characterized by systematic sexual abuse ), he describes a reality that is very similar to it.

While this instrument is in reality a conical-cylindrical bore hybrid, neither truly euphonium nor baritone, it was almost universally labeled a " baritone " by both band directors and composers.

While all firefighters must engage in no less than eighty hours of academy training before stepping foot on a fireground, the reality holds true that the training never ends.