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Such and theorem
Such arguments are typically easier to check than purely symbolic ones — indeed, many mathematicians would express a preference for a proof that not only demonstrates the validity of a theorem, but also explains in some way why it is obviously true.
Such structures had been studied prior to Thurston, but his work, particularly the next theorem, would bring them to prominence.
Such a doubly periodic function cannot be holomorphic, as it would then be a bounded entire function, and by Liouville's theorem every such must be constant.
Such functions g are of interest because they appear in the Riemann mapping theorem.
Such curves defined over the rational numbers, by Faltings ' theorem, can have only a finite number of rational points, and they may be viewed as having a hyperbolic geometry structure.
Such a distribution will be normal ( central limit theorem except in pathological cases, since – in a slightly non-obvious way of thinking about it – the trend is a linear combination of the y < sub > t </ sub >) and, if the series genuinely is random, centered on zero.
Such oscillators provide a complementary point of view on the equipartition theorem.
Such a collapse occurs when the equipartition theorem — or, equivalently, the virial theoremis no longer valid, i. e., when the gravitational potential energy exceeds twice the kinetic energy
Such geodesics are called prime geodesics because, among other things, they obey an asymptotic distribution law similar to the prime number theorem.
Real and pseudoreal representations of a group G can be understood by viewing them as representations of the real group algebra R. Such a representation will be a direct sum of central simple R-algebras, which, by the Artin-Wedderburn theorem, must be matrix algebras over the real numbers or the quaternions.
Such a result is called an abelian theorem for M, from the prototypical Abel's theorem.
Such results are typically true for all natural functions f but not necessarily true for artificially constructed f. To formulate them precisely, it is necessary to have a precise definition for a natural function f for which the theorem is true.
Such spacetime transformations represent shifts between the reference frames of different observers, and so by Noether's theorem invariance under a transformation represents a fundamental conservation law.
In this case, P is a convolution of the impulse response susceptibility χ and the electric field E. Such a convolution takes on a simpler form in the frequency domain — by Fourier transforming the relationship and applying the convolution theorem, one obtains the following relation for a linear time-invariant medium:
Such " spooky communication " experiments have never been successfully conducted, and only attempted a limited number of times, since most physicists believe that they would violate the no-communication theorem.
Such constructions include the Feferman-Vaught theorem and Term Powers.
Such identities can be understood to be generalizations of the Jacobi triple product theorem, which can be written using q-series as

Such and does
Such usage does not imply murderous actions, and any emotional implications ( e. g., rage, fear, excitement ) must be gleaned from context.
Such a formula is indeed satisfiable if and only if at least one of its terms is satisfiable, and a term is satisfiable if and only if it does not contain both x and NOT x for some variable x.
Such equal consideration does not necessarily imply identical treatment of humans and non-humans, any more than it necessarily implies identical treatment of all humans.
Such a creator may or may not be existing in physical surroundings such as darkness or water, but does not create the world from them.
Such diving usually emphasizes the airborne experience, and the height of the dive, but does not emphasize what goes on once the diver enters the water.
Such persistent connections reduce request latency perceptibly, because the client does not need to re-negotiate the TCP connection after the first request has been sent.
Such a pattern, again, does not seem to support human sexual aesthetics as being the sole or primary cause of this distribution.
Such a system does not obey the postulates of thermodynamics.
Such dimensions, such as Asgard or the Dark Dimension are technically not " pocket dimensions " as they clearly reside completely outside the boundaries of the Marvel Universe, instead of within, as the former does.
Such a polygon does not have to lie in a plane, or have straight sides, or enclose an area, and individual elements can overlap or even coincide.
Such a wood does not exist.
Such work is sometimes seen as less interesting and less appreciated by peers, especially if an analysis, however diligent and time-consuming, does not turn up much of interest.
Such evidence does not constitute proof.
Such participation does not restrict one's choices in any way.
Such a VM does not consist of a single process, but one process per physical machine in the cluster.
Such term does not include the isoquinoline alkaloids of opium.
Such a correction concerns the temples dedicated on the Capitol ; it does not address the question of the dedication of the temple on the Island, which is puzzling, since the place is attested epigraphically as dedicated to the cult of Iuppiter Iurarius and Vediove in the Fasti Praenestini and to Jupiter according to Ovid's.
Such languages typically do not include declarations of types ( or make them optional ), so the only sources of what types are allowed are the names themselves, documentation such as comments, and by reading the code to understand what it does.
Such efforts are non-rival since climate mitigation provided to one does not reduce the level of mitigation that anyone else enjoys.
Such independence however does rest upon local conditions of soil, water, temperature and so on.
Such notation does not indicate the presence of physical dimensions, and is purely a notational convention.
Such a video can be edited as either interlaced or progressive and does not require additional processing aside of treating every pair of fields as one complete frame.
Such assistance may be by any personnel under the authority of the Department of Defense, provided such assistance does not adversely affect U. S. military preparedness.
Such early neutering does not appear to have any long-term health risks to cats, and may even be beneficial in male cats.

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