While most implementations let light propagate on straight lines, applications exist to simulate relativistic spacetime effects.

While the S-matrix may be defined for any background ( spacetime ) that is asymptotically solvable and has no horizons, it has a simple form in the case of the Minkowski space.

While Penrose diagrams share the same basic coordinate vector system of other space-time diagrams for local asymptotically flat spacetime, it introduces a system of representing distant spacetime by shrinking or " crunching " distances that are further away.

While it is theoretically possible for a mass that moves in one direction to have its momentum balanced by something other than a reaction mass ( e. g. see Nuclear photonic rocket ), there is no known theoretical mechanism for a mass to be moved one way while nothing moves the other way, at least in a flat spacetime.

While this notion makes sense for any Lorentzian manifold, it is most often applied to a spacetime standing as a solution to the field equations of some metric theory of gravitation, particularly general relativity.

While the origin of state-owned automobiles may be obscured, subsequent developments concerning the assignment, use, and management of state automobiles can be related more clearly.

While 2-year-olds are still gaining most of the attention at the track, green horses are starting to go a bit, and Jimmy Cruise has several that can really make it.

While some suppression and some denial are not only necessary but healthy, the worker's clinical knowledge must determine how these defenses are being used, what healthy shifts in defensive adaptation are indicated, and when efforts at bringing about change can be most effectively timed.

While the phonemes can be very easily stated, no one is likely to be satisfied with the statement until phonemic occurrences can be related in some way to morphemic units, i.e. until the morphophonemics is worked out, or at least far enough that it seems reasonable to expect success.

While this influence is a complex matter, depending upon personality factors in the individual as well as upon his social-class experience, there probably are some general statements about social-class background and educational policy that can be made with a fair degree of truth.

While ideas about altruism from one field can have an impact on the other fields, the different methods and focuses of these fields always lead to different perspectives on altruism.

While the Ural – Altaic hypothesis can still be found in encyclopedias, atlases, and similar general references, it has not had any adherents in the linguistics community for decades.

While the engine installation crew works on the second car, the first car can be moved to the hood station and fitted with a hood, then to the wheels station and be fitted with wheels.

While down there, along with the dead, he is shown the place where the wrongly convicted reside, the fields of sorrow where those who committed suicide and now regret it reside, including Aeneas ' former lover, the warriors and shades, Tartarus ( where the titans and powerful non-mortal enemies of the Olympians reside ) where he can hear the groans of the imprisoned, the palace of Pluto, and the fields of Elysium where the descendants of the divine and bravest heroes reside.

While a character with Pattern, Logrus or Conjuration can acquire virtually any object, players can choose to spend character points to obtain objects with particular virtues-unbreakability, or a mind of their own.

While Renaissance artists sought nature to find their style, the Mannerists looked first for a style and found a manner. In Mannerist paintings, compositions can have no focal point, space can be ambiguous, figures can be characterized by an athletic bending and twisting with distortions, exaggerations, an elastic elongation of the limbs, bizarre posturing on one hand, graceful posturing on the other hand, and a rendering of the heads as uniformly small and oval.

While entrance to the Park is free, Gaudí's house, " la Torre Rosa ," — containing furniture that he designed — can be only visited for an entrance fee.

While anagramming is certainly a recreation first, there are ways in which anagrams are put to use, and these can be more serious, or at least not quite frivolous and formless.

While in the city, there are many buses and taxi services one can take to get from place to place, but most of the locals choose to walk to their destinations.

While a spontaneous or induced genetic mutation in bacteria may confer resistance to antimicrobial drugs, genes that confer resistance can be transferred between bacteria in a horizontal fashion by conjugation, transduction, or transformation.

Some scholars believe that the apologetic view of Luke ’ s work is overemphasized and that it should not be regarded as a “ major aim of the Lucan writings .” While Munck believes that purpose of Luke ’ s work is not that clear-cut and sympathizes with other claims, he believes that Luke ’ s work can function as an apology only in the sense that it “ presents a defense of Christianity and Paul ” and may serve to “ clarify the position of Christianity within Jewry and within the Roman Empire .” Pervo disagrees that Luke ’ s work is an apology and even that it could possibly be addressed to Rome because he believes that “ Luke and Acts speak to insiders, believers in Jesus .” Freedman believes that Luke is writing an apology but that his goal is “ not to defend the Christian movement as such but to defend God ’ s ways in history .”

While his views on legitimation are different from Esler, Pervo agrees that Luke ’ s work can be seen as one of legitimation.

While this discussion is limited to the xy-plane, it can easily be extended to higher dimensions.

While they can be a human safety hazard, it is productive for these ecosystems to burn out every once in a while so that new organisms can begin to grow and thrive.

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 there may still be many Faulknerian Lucas Beauchamps scattered through the rural South, such men appear to be a vanishing breed.

While the picture was taken, Mr. Miller's disposition to be generous to Mr. Sandburg increased to the point where he advised, ' I won't even charge you the one dollar rental fee ' ''.

While I fully agree with Sir Anthony's contention, I think that we must carry the analysis farther, bearing in mind that while common peril may be the measure of our need, the existence or absence of a positive sense of community must be the measure of our capacity.

While Councilman Olson cited the anticipated increase in school costs in answer to a direct question from a taxpayer, the impact upon a school system does not have to be measured only in increased taxes to find alarm in uncontrolled growth.

While it is easy enough to ridicule Hawkins' pronouncement in Pleas Of The Crown from a metaphysical point of view, the concept of the `` oneness '' of a married couple may reflect an abiding belief that the communion between husband and wife is such that their actions are not always to be regarded by the criminal law as if there were no marriage.

While the regulations formerly required that the hearing officer's report be placed in the registrant's file, this requirement was eliminated in 1952.

While there should be no general age limit or restriction to one sex, there will be particular projects requiring special maturity and some open only to men or to women.

While this may well be true in general, I believe it is also important to keep in mind that some recent developments suggest that over the next year or so military electronics may be one of the most strongly growing areas in an economy which is not expanding rapidly in other directions.

While expensive in time and involving a great deal of adaptation on the part of the worker ( in terms of his willingness to leave the sanctity of his office and enter actively into the client's life ), techniques of accompaniment were found to be of tremendous value when in the service of specific preventive objectives.

While other conditions might be even more effective in bringing about a change from immobility to mobility in Kohnstamm reactivity, it is our hypothesis that all such conditions would have as a common factor the capacity to induce an attitude in the subject which enabled him to divorce himself temporarily from feelings of responsibility for his behavior.

While there may be several such industries to which the model of this paper is applicable, the authors make particular claim of relevance to the explanation of the course of wages and prices in the steel industry of the United States since World War 2.

While we, as American artists, believe deeply in the universal character of all intellectual activity, we would be less than honest with you, or ourselves, if we failed to state a specific attitude toward our own society as well as the international community as a whole.

While ATP appears to be necessary for the occurrence of contraction, its presence and enzymatic hydrolysis of it by the muscle protein myosin are not the only criteria for contraction.

While there are still many bugs to be ironed out, the technique is fast developing.

While this loss of precision may be tolerable and viewed as a minor flaw of Algorithm I, it is easy to find data that reveal a major flaw in the naive algorithm: Take the sample to be ( 10 < sup > 9 </ sup > + 4, 10 < sup > 9 </ sup > + 7, 10 < sup > 9 </ sup > + 13, 10 < sup > 9 </ sup > + 16 ).

While most elements are generally viewed as stable, a small amount of natural transformation of one element to another also occurs in the present time, through decay of radioactive elements as well as other natural nuclear processes.

While it was once thought that Locke wrote the Treatises to defend the Glorious Revolution of 1688, recent scholarship has shown that the work was composed well before this date, and it is now viewed as a more general argument against absolute monarchy ( particularly as espoused by Robert Filmer and Thomas Hobbes ) and for individual consent as the basis of political legitimacy.

While constructed languages (" conlangs ") are viewed as creations with copyright protection, natural languages are not protected, excluding dictionaries and / or other works created with them.

While modernist poetry in English is often viewed as an American phenomenon, with leading exponents including Ezra Pound, T. S. Eliot, Marianne Moore, William Carlos Williams, H. D., and Louis Zukofsky, there were important British modernist poets, including David Jones, Hugh MacDiarmid, Basil Bunting, and W. H. Auden.

While examples of embryonic stages show that molecular features of ancestral organisms exist, the theory of recapitulation itself has been viewed within the field of developmental biology as a historical side-note rather than as dogma.

While eight of the planetary bodies discovered before 1950 remain " planets " under modern definition, some celestial bodies, such as Ceres, Pallas, Juno, Vesta ( each an object in the Solar asteroid belt ) and Pluto ( the first-discovered trans-Neptunian object ), that were once considered planets by the scientific community are no longer viewed as such.

While they were viewed as Green Day " acolytes ", critics also found teen pop acts like Britney Spears, the Backstreet Boys, and ' N Sync suitable points of comparison for Blink-182's sound and market niche.

While this perceived inauthenticity is viewed with scorn and contempt by members of the subculture, the definition of the term and to whom it should be applied is subjective.

While some argued that it went against Sweden's historic policy of neutrality, where Sweden had not joined during the Cold War because it was seen as incompatible with neutrality, others viewed the move as a natural extension of the economic cooperation that had been going on since 1972 with the EU.

While these latter accounts are common among martial artists, and often serve as origin stories for various martial arts styles, they are viewed by scholars as fictional.

While Gould spoke of independence from the perspective of science, W. T. Stace viewed independence from the perspective of the philosophy of religion.

While the Vice President's only constitutionally prescribed functions aside from Presidential succession relate to his role as President of the Senate, the office is commonly viewed as a component of the executive branch of the federal government.

While traveling between levels, Keen is viewed from above on a map, the only place where the player can save the game.

While it is often viewed as a primarily devotional text, the Vaishnava elements appear to be later accretions possibly dating to the 2nd century BC or later.

While the bishop of Rome had always been viewed as the chief patriarch in the Western church, much of the pope's authority was delegated to local diocesan bishops.

While Coleman viewed social capital as a relatively neutral resource, he did not deny the class reproduction that could result from accessing such capital, given that individuals worked toward their own benefit.

While history has viewed Catiline through the lenses of his enemies, some modern historians have reassessed Catiline, such as Michael Parenti, in " The Assassination of Julius Caesar ".

While optimal aperture can be determined mechanically, how much sharpness is required depends on how the image will be used – if the final image is viewed under normal conditions ( e. g., an 8 ″× 10 ″ image viewed at 10 ″), it may suffice to determine the < var > f </ var >- number using criteria for minimum required sharpness, and there may be no practical benefit from further reducing the size of the blur spot.

While conventionally viewed as small metal shards moving at super-to hypersonic speeds, fragmentation can occur in epic proportions and travel for extensive distances.

While almost all phytoplankton species are obligate photoautotrophs, there are some that are mixotrophic and other, non-pigmented species that are actually heterotrophic ( the latter are often viewed as zooplankton ).

While The Diamond Age can be viewed primarily as a coming-of-age or Bildungsroman central plot centered on a female character, deeper analysis reveals several interconnected themes.

" While typically viewed as producers of dark and gloomy music, The Cure have also yielded a number of upbeat songs.