Specifically, the problem of combining quantum mechanics and gravity becomes an issue only at very high energies, and may well require a totally new kind of model.

Specifically, he demonstrated an upper limit, known as Bell's inequality, regarding the strength of correlations that can be produced in any theory obeying local realism, and he showed that quantum theory predicts violations of this limit for certain entangled systems.

Specifically, it assumes either that there is only one timeline, or that any alternative timelines ( such as those postulated by the many-worlds interpretation of quantum mechanics ) are not accessible.

Specifically it takes time, demonstrating that the integer factorization problem can be efficiently solved on a quantum computer and is thus in the complexity class BQP.

Specifically, for a sample of area A, in magnetic field B, the degeneracy of each Landau level is ( where g < sub > s </ sub > represents a factor of 2 for spin degeneracy, and φ < sub > 0 </ sub > is the magnetic flux quantum ).

Specifically, the CPT theorem states that any Lorentz invariant local quantum field theory with a Hermitian Hamiltonian must have CPT symmetry.

Specifically, the effect describes the phenomenon resulting from electrons and electron holes being squeezed into a dimension that approaches a critical quantum measurement, called the exciton Bohr radius.

Specifically, the term describes results in quantum mechanics like Bell's theorem and the Kochen – Specker theorem that constrain the permissible types of hidden variable theories which try to explain the apparent randomness of quantum mechanics as a deterministic model featuring hidden states.

( Specifically, since this convolution is invertible, in fact, no information has been sacrificed, and the full quantum entropy has not increased, yet.

Specifically it is a quantum field theory in which, unlike most other quantum field theories, the pair of observables is not required to always commute.

Specifically, the term Galilean invariance today usually refers to this principle as applied to Newtonian mechanics, that is, Newton's laws hold in all inertial frames.

Specifically it is the amount of a substance that contains as many elementary entities ( atoms, molecules or ions ) as there are atoms in 0. 012 kilogram ( or 12 grams ) of carbon-12, where the carbon-12 atoms are unbound, at rest and in their ground state.

Specifically, in these enclaves, the federal government may have proprietary jurisdiction ( only the rights of any other landowner ), concurrent jurisdiction ( the right to legislate concurrently with the state government ), or exclusive jurisdiction over the land where an act was committed in order to establish jurisdiction over the actor.

Specifically, since electrons decay slowly from them, they can be piled up in this state without too much loss and then stimulated emission can be used to boost an optical signal.

Specifically, Karl Kautsky: After 1929, exiled Mensheviks such as Fyodor Dan began to argue that Stalin's Russia constituted a state capitalist society.

Specifically, the table tells the machine to ( ia ) erase or write a symbol or ( ib ) move the head left or right, and then ( ii ) assume the same or a new state as prescribed, but not both actions ( ia ) and ( ib ) in the same instruction.

Specifically there were practitioners of the technique that said of a mesmerized person " the person is back animal " meaning " the person is back in a natural mental state where she / he recovers his / her most primitive part of the mind ".

Specifically, a photon of this wavelength is emitted when the electron of a hydrogen atom changes its excitation state from n = 3 to n = 2.

Specifically, Article 6 of the treaty states that if any captured Americans, be it done by Moroccans or by other Barbary Coast states dock at a Moroccan city, said Americans would be set free and be under the protection of the Moroccan state.

Specifically, if a system is in a state described by a vector in a Hilbert space, the measurement process affects the state in a non-deterministic, but statistically predictable way.

Specifically, according to the Ta Min Hui Tien ( Great Ming compendium of laws ), a report gleaned from the records of Tehchow, Shantung, China ( archived and researched in the years 1673, 1788 and 1935 ): 3 months after the death of Paduka Batara ( the Tausug potentate who visited the Chinese Emperor Yung Lo and died on October 23, 1417 ), a High Court Mandarin, Chan Chien, was ordered to sail to Kumalarang ( Chinese texts refer to " Kumalalang "), a vassal state of the Sulu Sultanate located on the northwestern coast of Taguima ( Basilan Is.

Specifically, in the state of Texas, the terms Farm to Market Road and Ranch to Market Road indicate roadways that are part of the state's system of secondary and connecting routes, built and maintained by the Texas Department of Transportation ( TxDOT ).

Specifically, they were charged under Section 20-58 of the Virginia Code, which prohibited interracial couples from being married out of state and then returning to Virginia, and Section 20-59, which classified miscegenation as a felony, punishable by a prison sentence of between one and five years.

" Specifically, they state that " Pancake " was supposed to help recruit and support anti-Nazi resistance activity in Berlin, Germany, at this time ( 1936 – 38 ).

Specifically, by the doctrine of the hinterland, the word is applied to the inland region lying behind a port, claimed by the state that owns the coast.

Specifically, once the patient is in a self-hypnotic state the therapist can communicate messages to the patient, allowing the relaxation and strengthening process to occur.

Specifically, the resolution authorized the President to do whatever necessary in order to assist " any member or protocol state of the Southeast Asia Collective Defense Treaty ".

Specifically, in most U. S. jurisdictions, graduation from an ABA-accredited law school is expressly stated as a prerequisite towards being allowed to sit for that state's bar exam, and even for existing lawyers to be admitted to the bar of another state upon motion.

Specifically, CNRA § 702 ( a ) amended the Covenant to state that “ the provisions of the ‘ immigration laws ’ ( as defined in section 101 ( a )( 17 ) of the Immigration and Nationality Act ( 8 U. S. C.

Specifically it is defined in current medicine as a morbid general state resulting from the presence of abnormal material in the blood, usually applied to diseases affecting blood cells or platelets.

Specifically, an online or on-the-fly calculation is used to explore state trajectories that emanate from the current state and find ( via the solution of Euler-Lagrange equations ) a cost-minimizing control strategy until time.

Specifically, it is given by the state transition function.

Specifically, agricultural land was denationalized, and its ownership ( together with the ownership of other farm assets ) was legally transferred from the state to the ownership of kolkhozes.

Specifically, an excited atom will act like a small electric dipole which will oscillate with the external field provided.

Specifically, an amide results from an acid, in which a carbon atom is double bonded to oxygen and also to an hydroxyl group, when the hydroxyl group is replaced by an amine.

Specifically, Walter Heitler determined how to use Schrödinger's wave equation ( 1926 ) to show how two hydrogen atom wavefunctions join together, with plus, minus, and exchange terms, to form a covalent bond.

Specifically, acetylation refers to that process of introducing an acetyl group ( resulting in an acetoxy group ) into a compound, namely, the substitution of an acetyl group for an active hydrogen atom.

Specifically, after acknowledging the various popular theories in vogue at the time, of how atoms were reasoned to attach to each other, i. e. " hooked atoms ", " glued together by rest ", or " stuck together by conspiring motions ", Newton states that he would rather infer from their cohesion, that " particles attract one another by some force, which in immediate contact is exceedingly strong, at small distances performs the chemical operations, and reaches not far from the particles with any sensible effect.

Specifically, it is a non-trivial ring in which every non-zero element a has a multiplicative inverse, i. e., an element x with.

Specifically, the weather must be better than basic VFR weather minima, i. e. in visual meteorological conditions ( VMC ), as specified in the rules of the relevant aviation authority.

Specifically, solving a heat conduction ( Fourier ) problem with temperature ( the driving " force ") and flux of heat ( the rate of flow of the driven " quantity ", i. e. heat energy ) variables also solves an analogous electrical conduction ( Ohm ) problem having electric potential ( the driving " force ") and electric current ( the rate of flow of the driven " quantity ", i. e. charge ) variables.

Specifically, considering the rotation of vectors and derived quantities ( i. e., tensors of higher order via tensor multiplication ) does not provide for all the properties of rotations as a more abstract concept.

Specifically, a ( locally small ) complete category C has an initial object if and only if there exist a set I ( not a proper class ) and an I-indexed family ( K < sub > i </ sub >) of objects of C such that for any object X of C there at least one morphism K < sub > i </ sub > → X for some i ∈ I.

Specifically, the adjacency matrix of a finite graph G on n vertices is the n × n matrix where the non-diagonal entry a < sub > ij </ sub > is the number of edges from vertex i to vertex j, and the diagonal entry a < sub > ii </ sub >, depending on the convention, is either once or twice the number of edges ( loops ) from vertex i to itself.

Specifically, point 4 commits the modal fallacy of assuming that because some choice is known to be true, it must be necessarily true ( i. e. there is no way it could possibly be false ).

Specifically, if x < sup > i </ sup > are harmonic local coordinates, then

Specifically, if is an n-dimensional representation of G, then u < sub > ij </ sub > ∈ C ( G ) for all i, j, and for all i, j.

Specifically, Michael Luby and Charles Rackoff analyzed the Feistel cipher construction, and proved that if the round function is a cryptographically secure pseudorandom function, with K < sub > i </ sub > used as the seed, then 3 rounds is sufficient to make the block cipher a pseudorandom permutation, while 4 rounds is sufficient to make it a " strong " pseudorandom permutation ( which means that it remains pseudorandom even to an adversary who gets oracle access to its inverse permutation ).

Specifically, given g ∈ G, ρ ( g ) is the linear map on V determined by its action on the basis by right translation by g < sup >− 1 </ sup >, i. e.

Specifically, comparative researchers encounter problems associated with individual differences, differences in motivation, differences in reinforcement, differences in sensory function, differences in motor capacities, and species-typical preparedness ( i. e. some species have evolved to acquire some behaviors quicker than other behaviors ).

Specifically, assume we have a nonsingular variety X, and n hypersurfaces Z < sub > 1 </ sub >, ..., Z < sub > n </ sub > which have local equations f < sub > 1 </ sub >, ..., f < sub > n </ sub > near x for polynomials f < sub > i </ sub >( t < sub > 1 </ sub >, ..., t < sub > n </ sub >), such that the following hold:

Specifically, Hadamard's inequality states that if N is the matrix having columns v < sub > i </ sub >, then

Specifically, the 1987 Act ( i ) reformed and strengthened the tax provisions governing corporate mergers and acquisitions ; ( ii ) repealed the use of the “ completed contract method of accounting ” by large defense contractors ; ( iii ) limited the use of the installment sales method of accounting ; and ( iv ) reduced the deduction for dividends paid by one corporation to another ; and ( vi ) accelerated corporate estimated tax payments.

Specifically, if X and Y are pointed spaces ( i. e. topological spaces with distinguished basepoints x < sub > 0 </ sub > and y < sub > 0 </ sub >) the wedge sum of X and Y is the quotient of the disjoint union of X and Y by the identification x < sub > 0 </ sub > ∼ y < sub > 0 </ sub >:

Specifically, this means individuals can recognize different standards for validity — i. e., that the validation of an empirical truth claim requires different methods and procedures than the validation of subjective truthfulness, and that both of those require different methods and procedures of validation than claims to normative rightness.

Specifically, he was a realist ( i. e., he, unlike the skeptics, believed that the world can be known as it is ).