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Page "Grover's algorithm" ¶ 49
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Therefore and state
Therefore, it is not only a question of honor but of life and death for the Soviet state ''.
Therefore no complete system, i. e. including the electromagnetic modes, can have negative temperatures, since there is no highest energy state, so that the sum of the probabilities of the states would diverge for negative temperatures.
Therefore, a number of more accurate equations of state have been developed for gases and liquids.
Therefore, it is impossible ( without measuring ) to know the definite state of spin of either particle in the spin singlet.
Therefore, if Alice measures + x, the system ' collapses ' into state Ia, and Bob will get − x.
Therefore, the state dedicated enormous resources to the performance of these rituals and to the construction of the temples where they were carried out.
Therefore, the terminology fugue state may carry a slight linguistic distinction from Dissociative Fugue, the former implying a greater degree of motion.
Therefore, Braid defined hypnotism as a state of mental concentration that often leads to a form of progressive relaxation, termed " nervous sleep ".
Therefore, to reduce the number of chips required, it included features such as clock generator, interrupt controller, timers, wait state generator, DMA channels, and external chip select lines.
Therefore, the fish cast Jonah out onto dry land, with Jonah in a state of sickness.
Therefore the armed forces are under the absolute leadership of the Communist Party and are also the armed forces of the state.
Therefore, while the mental state of pain or happiness is not type-identical to any one specific brain state, it is still physical and identical to a particular brain state.
Therefore, it is very likely that any definition of " the physical " based on the current state of physics would end up being ultimately false.
Therefore, its quantum state can be represented as a wave of arbitrary shape and extending over space as a wave function.
Therefore the machine needs to have some hidden state to remember which parts went through and what remains to be done.
Therefore, the Ryan Doctrine supersedes the executive order put in place by President Ford, which forbids the assassination of foreign heads of state.
Therefore, often a trust document will state specifically that trustees are entitled to reasonable payment for their work.
Therefore, the entropy decreases when going from the relaxed to the stretched state, and it increases during relaxation.
Therefore, Jupiter is the " magic player " in the founding of the Roman state and the fields of war, agricultural plenty, human fertility and welfare.
Therefore, it is not surprising that many different proposals have been made and continue to be made, including an Arab state, with or without a significant Jewish population, a Jewish state, with or without a significant Arab population, a single bi-national state, with or without some degree of cantonization, two states, one bi-national and one Arab, with or without some form of federation, and two states, one Jewish and one Arab, with or without some form of federation.
Therefore, the router has to transition to Active state and ask its neighbors for a new route to the destination X.

Therefore and vector
Therefore, the spin angular velocity vector () about the spin axis will have to evolve in time so that the matrix product remains constant.
Therefore, each column vector of is a linear combination of the columns of.
Therefore any directional derivative can be identified with a corresponding vector, and any vector can be identified with a corresponding directional derivative.
Therefore, v < sub > 3 </ sub > is neither a polar vector nor a pseudovector.
Therefore the baroclinic vector is nonzero, and the sense of the baroclinic vector is to create vorticity to make the interface level out.
Therefore, the relative position vector remains bounded, having its smallest magnitude at periapsis r < sub > p </ sub > which is given by:
Therefore the components of a tangent vector transform via
Therefore, X is reflexive as topological vector space if and only if it is reflexive as normed space, namely, when the injection J is bijective.
Therefore, the displacement vector r and its velocity v are always in the plane perpendicular to the constant vector L.
Therefore the bracket on A is just the Lie bracket of tangent vector fields and the anchor map is just the identity.
Therefore, the magnitude of a vector from the origin of the Ewald's sphere to the intersection of any reciprocal lattice rods is equal in magnitude to that of the incident beam.
Therefore every conservative vector field is also an irrotational vector field.
Therefore, the RHS can be written in vector form as
Therefore, an-graded vector space, as defined above, is just an I-graded vector space where the set I is ( the set of natural numbers ).
Therefore, many equations of electromagnetism can be written either in terms of the E and B, or in terms of the magnetic vector potential and electric potential.
where is a unit vector lying along the line joining M and m and pointing from m to M. Therefore, the gravitational field of M is
Therefore, by ( 3 ), such a representation of G will have a nonzero invariant vector, establishing ( 4 ).
Therefore, the rules and define a functor from the category of complex vector spaces to itself.

Therefore and remains
Therefore, a base on balls does not increase nor decrease a player's batting average, but it does increase his on-base percentage, unless a player's on-base percentage is 1. 000, in which case it remains the same.
Therefore, though the petroleum sector is important, it remains in fact a small part of the country's overall vibrant and diversified economy.
:" Therefore it is reasonable to conclude that, just as easily as they raise hailstorms, so can they cause lightning and storms at sea ; and so no doubt at all remains on these points.
Therefore, it seems that the large crests only developed in males when they reached their large, adult size, making the sex of immature specimens difficult to establish from partial remains.
Therefore true teledensity remains at a very low figure.
Therefore, although the Will and Testament of ` Abdu ' l-Bahá leaves provisions for a succession of Guardians, Shoghi Effendi remains the first and last occupant of this office.
Therefore historians believe that Viking warriors did not use horned helmets, but whether or not such helmets were used in Scandinavian culture for other, ritual purposes remains unproven.
Therefore, the original song is quite clearly understandable, and in fact, remains almost unchanged in several widely different Indian languages.
Therefore, it remains a common English name in some historical contexts.
Therefore only a few remains from the Roman era have been found in Fribourg.
Therefore the value of reiki remains unproven.
Therefore, it remains an open question whether or not monopoles exist.
Therefore, it is common for more than one ID be used with a pump, as long as the wall thickness remains the same.
Therefore the cremated remains are likely to be Macedonian, while the remains around the lion were the Sacred Band.
Therefore there is full step-free access coverage in the station, although a considerably steep path to the station still exists if approaching from the north and a steep approach from the road to station level from the south also remains.
Therefore, the original misinterpretation of the sentence remains even after the reanalysis is done ; hence participant ’ s final interpretations are often incorrect.
Therefore, the status of many subspecies remains unclear.
Therefore, any ball pocketed prior to the scratch ( on the same turn ) remains in the pockets ; otherwise the potentially unaffected third player could be placed at a disadvantage no fault of his own.
Therefore, communication from the government remains highly relevant.
Therefore, he decides to kill Elegos and sends his jewel-decorated remains to Corran to acknowledge their blood feud.

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