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Thus and abject
Thus isolated and abandoned by his allies, Raynald decided that abject submission was his only hope.
Thus the sense of the abject complements the existence of the superego-the representative of culture, of the symbolic order: in Kristeva's aphorism, " To each ego its object, to each superego its abject ".

Thus and reduced
Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.
Thus, oxygen is reduced to water and the original electron acceptors NAD < sup >+</ sup > and quinone are regenerated.
Thus, the patient can move the impaired side of his body, but with reduced muscular strength.
Thus, infection rates in small-world networks can be reduced somewhat if interactions between individuals within infected hubs are eliminated ( Figure 1 ).
Thus, the AG was reduced to an opposition role in their own stronghold.
Thus for many polymers, reduced crystallinity may also be associated with increased transparency.
Thus stimulated emission at frequencies away from is reduced by this factor.
Thus the secular power of the Bishop of Rome, i. e., the Pope, was reduced to one square mile, the smallest sovereign nation on earth ( as a result of the 1929 Lateran Treaty which established a Concordat between Vatican City and the nation of Italy ).
Thus, species that are naturally evolving and contain reduced sizes of genes can be accounted for an increased number of noticeable differences between them, thereby leading to changes in their evolutionary rates.
Thus, the user throughput is reduced by both overheads while system throughput is reduced only by system overhead.
Thus inflation in the salary averaging years has a considerable impact on purchasing power and cost, both being reduced equally by inflation
Thus, for positronium, its reduced mass only differs from the rest mass of the electron by a factor of 2.
Thus, the subsidence is not only permanent, but the compressed aquifer has a permanently reduced capacity to hold water.
Thus, the House of Representatives immediately passed a tariff bill sponsored by Payne, calling for reduced tariffs.
Thus the number of mistakes that could be made hooking up a thinnet network was reduced considerably.
Thus owners ' equity is reduced to zero.
Thus, the risk of main wing stalling is greatly reduced.
Thus we have reduced the two-body problem to that of one body.
Porro prism designs have the added benefit of folding the optical path so that the physical length of the binoculars is less than the focal length of the objective and wider spacing of the objectives gives a better sensation of depth. Thus, the size of binoculars are reduced.
Thus, the number of gaps in an alignment is usually reduced and residues and gaps are kept together, which typically makes more biological sense.
Thus from 1936 to 1949 the King's role in the Irish Free State / Éire was greatly reduced and ambiguous.
Thus, because of the reduced temperature, energy is saved.
Within the class P, however, polynomial-time reductions are inappropriate, because any problem in P can be polynomial-time reduced ( both many-one and Turing ) to almost any other problem in P. Thus, for classes within P such as L, NL, NC, and P itself, log-space reductions are used instead.
Thus the kingdom was quickly reduced to its former local importance only.

Thus and twice
Thus one can be tried twice for the same alleged crime.
Thus a 2 × 2 matrix with determinant − 2, when applied to a region of the plane with finite area, will transform that region into one with twice the area, while reversing its orientation.
Thus, interlaced video captures samples the scene motion twice as often as progressive video does, for the same number of frames per second.
Thus the loop f ∗ g first follows the loop f with " twice the speed " and then follows g with twice the speed.
Thus an hour was 144 conventional minutes ( more than twice as long as a conventional hour ), a minute was 86. 4 conventional seconds ( 44 % longer than a conventional minute ), and a second was 0. 864 conventional seconds ( 13. 6 % shorter than a conventional second ).
Thus a 3D display must display twice as many images in the same period of time as a conventional display, and consequently the response time of the LCD is more important.
Thus, certain color contrasts may look fuzzier than others, depending on the allocation of the primary colors ( green has twice as many elements as red or blue in the Bayer arrangement ).
Thus, twice the average total kinetic energy equals n times the average total potential energy.
Thus there were no waves / modes with a wavelength larger than twice the length ( L ) of the cavity.
Thus, in three consecutive innings Grace scored 839 runs and was only out twice.
Thus, the RF bandwidth of a signal ( measured from the lowest frequency as opposed to 0 Hz ) is twice its baseband bandwidth.
Thus twice the usual Eddington luminosity would be needed to drive off an atmosphere of pure helium.
Thus, the 3 / 8 rule is about twice as accurate as the standard method, but it uses one more function value.
Thus, it is recommended that the sheath be cleaned once or twice a year.
Thus, in three consecutive innings, Grace scores 839 runs, and is only out twice.
Thus, the two instruments gradually shift out of unison, creating first a slight echo as one instrument plays a little behind the other, then a doubling with each note heard twice, then a complex ringing effect, and eventually coming back through doubling and echo into unison.
Thus he demonstrated against cultural institutions in New York City ( such as MOMA and Lincoln Center for the Performing Arts ) with Tony Conrad and Jack Smith in 1963 and against the composer Karlheinz Stockhausen twice in 1964.
Thus, at about 10 m below the surface, the water exerts twice the pressure ( 2 atmospheres or 200 kPa ) on the body as air at surface level.
Thus Amphibia had arisen twice.
Thus, the difference is twice the individual signal currents ( ΔI-(- ΔI )
Thus, it is likely that phototrophy independently evolved at least twice, once in bacteria and once in archaea.
Thus, the average total energy of an extreme relativistic gas is twice that of the non-relativistic case: for N particles, it is 3 Nk < sub > B </ sub > T.
Thus, each generation of cells should be twice as numerous as the previous generation.
Thus the viewer would see motion stutter twice per second.

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