According to special relativity, one can change a spatial and time separation ( L < sub > 1 </ sub >, Δt < sub > 1 </ sub >) into another ( L < sub > 2 </ sub >, Δt < sub > 2 </ sub >) by changing one's reference frame, as long as the change maintains the spacetime interval s. Such a change in reference frame corresponds to changing one's motion ; in a moving frame, lengths and times are different from their counterparts in a stationary reference frame.

Such a configuration of wormholes would allow for a particle's world line to form a closed loop in spacetime, known as a closed timelike curve.

Such spacetimes are also a good illustration of the fact that unless a spacetime is especially nice (" globally hyperbolic ") the Einstein equations do not determine its evolution uniquely.

Such a spacetime can be interpreted as an exact solution of Einstein's field equation, in which the only mass-energy present in the spacetime is due to some kind of massless radiation.

Such propagation is sometimes considered to be analogous to Hawking radiation, although the latter arises from quantum field effects in curved spacetime.

Such transformations form a subgroup called the equi-affine group A transformation that is both equi-affine and a similarity is an isometry of the plane taken with Euclidean distance.

Such methods work for simple transformations, such as translation, rotation, and scaling.

Such changes of coordinate system are the gauge transformations of general relativity.

Such transformations often take the form of integral transforms such as the Radon transform and its generalizations.

Such transformations, given by rational functions in the co-ordinates, can be undefined not just at isolated points on curves, but on entire curves on a surface, and so on.

Such transformations occur with particular frequency in long-running superhero comic books.

Such changes made their transformations more difficult than their bright green predecessors.

Such acceleration is commonly accomplished with sequence transformations.

Such maps restrict to conformal self-maps of, which are Möbius transformations.

Such transformations are still important in the graded case, although less so than the graded ( even ) transformations.

Such teams could be selected to play in a match against an opposing team, to represent a football club, group, state or nation, an All-star team or even selected as a hypothetical team ( such as a Dream Team or Team of the Century ) and never play an actual match.

Such an equation will represent an ( n – 1 )- dimensional hyperplane in n-dimensional Euclidean space ( for example, a plane in 3-space ).

Such genes are called retrogenes and represent a certain type of retroposons.

Such assets represent a serious problem for purchasers because of their complexity.

Such areas may represent a gay-friendly oasis in an otherwise hostile city, or may simply have a high concentration of gay residents and / or businesses.

Such objects represent some of the most extreme and energetic physical processes in the universe.

Such social actions are not necessarily monetarised, but they represent an extension of the market principle into non-economic area of life-again typical for neoliberalism "

Such numbers are often used to represent the amount of a loss or absence.

Such merchandise may not be produced anymore, and the new old stock may represent the only market source of a particular item at the present time.

Such items generally cannot be transferred and are often used only as a means to represent a Premium subscription via a method which is easily integrated into the game engine.

Such national legislative politics in communist states often have a similar structure to the parliaments that exist in liberal republics, with two significant differences: first, the deputies elected to these national legislative bodies are not expected to represent the interests of any particular constituency, but the long-term interests of the people as a whole ; second, against Marx's advice, the legislative bodies of communist states are not in permanent session.

" Such document preparation is indeed cost-saving for those who truly want to represent themselves in a legal matter, but want to pay someone to create the required documents.

Such systems represent completely overlapping lines, or curves, etc.

Such payments may be required to represent the market value of the existing state of development, or may be computed under cost recovery or market capitalization models.

Such a distribution might be used to represent the distribution of the maximum level of a river in a particular year if there was a list of maximum values for the past ten years.

Such groups include corporations that contract prison labor, construction companies, surveillance technology vendors, lawyers, and lobby groups that represent them.

Such aspiration would represent a serious risk of complications to patients recovering from this surgery.

Such satires deal less with human characters than with the single-minded mental attitudes, or " humours ", that they represent: the pedant, the braggart, the bigot, the miser, the quack, the seducer, etc.

Such shortcuts often represent a series of smaller shortcuts, strung together to create a larger action.

Such graphs can be used to represent and analyze a variety of systems and problems, including colorability problems, shortest path algorithms and spanning trees.

Such a shift would represent a return to the old British Rail model, but implemented by non-government organisations and franchise holders.

Such groups as Basic Element ( active in the 1990s as well ), Alcazar, Scooter, Ian Van Dahl, Milk Inc., Merzedes Club, Infernal, Special D, Groove Coverage, Santamaria, Cascada, Sylver, Danijay, Eiffel 65, Colonia, and solo artists such as Madonna ( e. g. Hung Up single ), Kate Ryan, Luca Zeta, Gabry Ponte, DJ Aligator, Máni Svavarsson, Lucas Prata and O-Zone, represent some of the best of the second generation of Eurodance artists.

Such higher-order terms are required in order to accurately represent the displacement function as a sum of an infinite series, enabling several analytical techniques in engineering and physics.

Such upside-down coins have been sold on auction websites for greater than their face value, even though they represent roughly 50 % of the minted population.

Such finds are made in Hallstatt culture sites, and presumably represent graves.

Such states occur ( for example ) in atoms when photons are radiated as the atom shifts from one stationary state to another.

Such near resonances are dynamically insignificant even if the mismatch is quite small because ( unlike a true resonance ), after each cycle the relative position of the bodies shifts.

Such events are not frequent, but there are sudden and drastic shifts in weather conditions.

Such shifts, known as true polar wander, would have caused dramatic climate changes over vast areas of the planet.

Such shifts mark a new era for the Telecommunications industry in China in which analyst have further commented that these changes are aimed at promoting a more fair and competitive industry environment.

Such new studies thus use Foucault ’ s Governmentalities to outline the nature of shifts in governance and contribute to emerging studies of governmentality in non-western contexts.

Such hypotheses are tested against the general knowledge of semantic shifts.

Such shifts can be prevented by using spectrum stabilizers.

Such evidence then shifts the burden of proof to the employer to explain the disparity or otherwise demonstrate that the disparity is not the result of discrimination.