Since the algorithm ensures that the remainders decrease steadily with every step, r < sub > k − 1 </ sub > is less than its predecessor r < sub > k − 2 </ sub >.

Since in the encoding process, only the modulo remainders of perfect squares are used ( in our example with, this is only 23 of the 76 possible values ), other attacks on the process are possible.

Since in the mid-1990s the number of supporters started to decrease, Greenpeace pioneered the use of face-to-face fundraising where fundraisers actively seek new supporters at public places, subscribing them for a monthly direct debit donation.

Since the force between color charges does not decrease with distance, it is believed that quarks and gluons can never be liberated from hadrons.

Since secondary electrons can outnumber the primary electrons, in the worst case, particularly as the plate voltage dips below the screen voltage, the plate current can decrease with increasing plate voltage.

Since it makes no reference to any quantities involved in work ( such as p and V ), the Helmholtz function is completely general: its decrease is the maximum amount of work which can be done by a system, and it can increase at most by the amount of work done on a system.

Since 1987, however, backyard barrel burning has showed almost no decrease, and is now the largest source of dioxin emissions, producing about one third of the total output.

Since the pressure gradient normal to the flow within a boundary layer is approximately zero for low to moderate hypersonic Mach numbers, the increase of temperature through the boundary layer coincides with a decrease in density.

Since the peak number of 196, 528 total landlines in 2001 there has been a decrease of 43, 633 landlines as of 2009.

Since the 1980s, and much like Manhattan's Little Italy, due to a decrease in immigration from Italy and gentrification, the neighborhood has seen its native Italian American population rapidly shrink, while neighboring Chinatown has been rapidly expanding north into the neighborhood east of Broadway and along Stockton Street causing a major demographic shift to a mix of mostly Chinese and young professional population, although some, albeit very few, Italian Americans remain.

Since the 1960s, however, most municipalities of the county have experienced a decrease in population figures, particularly in the inland.

Since the solid parts of the Earth are ductile, the Earth's equatorial bulge has been decreasing in step with the decrease in the rate of rotation.

Since temperature and sound velocity normally decrease with increasing altitude, sound is refracted upward, away from listeners on the ground, creating an acoustic shadow at some distance from the source.

Since beta blockers are known to relax the cardiac muscle and to constrict the smooth muscle, these beta adrenergic antagonists, including propranolol, have an additive effect with other drugs which decrease blood pressure, or which decrease cardiac contractility or conductivity.

Since 2003, the Australian Federal Government's resolve to decrease what was deemed " inappropriate immigration " by then-Prime Minister John Howard has gained momentum.

Since temperature and sound velocity normally decrease with increasing altitude, sound is refracted upward, away from listeners on the ground, creating an acoustic shadow at some distance from the source.

They also claim that despite having the incarceration rate grow “ 10 times what it was prior to 1970 ”, “ it has not made this country any safer .” Since the September 11 attacks in 2001, the budget for Customs and Border Patrol ( CBP ), and U. S. Immigration and Customs Enforcement ( ICE ), have nearly doubled from 2003 to 2008, with CBP ’ s budget increasing from $ 5. 8 billion to $ 10. 1 billion and ICE from $ 3. 2 billion to $ 5 billion and even so there has been no significant decrease in immigrant population.

Since the 1990s, the borough has had a decrease in population, down from 462, 806 from 2000.

Since 2004, a stronger metropolitan government stance on counterfeit merchandise has led to a decrease of such items being available to the public.

Since they do not migrate and stay in one territory the northern populations of Carolina wrens decrease markedly after severe winters.

Since then, the Ukrainian government has implemented policies in order to decrease the use of Russian and favour Ukrianian, a process labelled ukrainization

# Since 9 is 1 less than 10, decrease it by the deficiency ( 9-1 =

) Since unused routing tracks increase the cost ( and decrease the performance ) of the part without providing any benefit, gate array manufacturers try to provide just enough tracks so that most designs that will fit in terms of gates and I / O pins can be routed.

Since then, " many cases of seizures triggered by VGs were reported, not only in photosensitive, but also in nonphotosensitive children and adolescents with epilepsy ..... Specific preventive measures concerning the physical characteristics of images included in commercially available VGs ( flash rate, choice of colors, patterns, and contrast ) can lead in the future to a clear decrease of this problem.

( Since the time-span of the nation-state coincides roughly with the separate existence of the United States as an independent entity, it is perhaps natural for Americans to think of the nation as representative of the highest form of order, something permanent and unchanging.

Since 1944 he has also conducted regularly at the San Francisco Opera, where he made his debut with a memorable performance of Verdi's Falstaff.

Since the great flood of these dystopias has appeared only in the last twelve years, it seems fairly reasonable to assume that the chief impetus was the 1949 publication of Nineteen Eighty-Four, an assumption which is supported by the frequent echoes of such details as Room 101, along with education by conditioning from Brave New World, a book to which science-fiction writers may well have returned with new interest after reading the more powerful Orwell dystopia.

Those famous lines of the Greek Anthology with which a fading beauty dedicates her mirror at the shrine of a goddess reveal a wise attitude: `` Venus, take my votive glass, Since I am not what I was, What from this day I shall be, Venus, let me never see ''.

Since the Connally amendment has the effect of giving the same right to the other party to a dispute with the United States, it also prevents us from using the court effectively.

Since ordinary breakfast-table conversation was impossible, it was at least something that they were able to offer Eugene the sugar bowl with their sugar in it, and the plate of bread and butter, and that Eugene could return the pitcher of hot milk to them handle first.

Since these duties fit neatly with those of the proposed presidential aide, one person, with adequate staff assistance, could fill both jobs.

Since brevity is the soul of ambiguity as well as wit, newspaper headlines continually provide us with amusing samples.

Since the absorption of radio waves in rocklike material varies with wave length, it should be possible to sample the temperature variation at different depths beneath the surface and possibly detect changes in the structure or composition of the lunar surface material.

Since D' and N' commute with one another and Af, we see that D' and N' commute with T.

Since a ruled surface of order N with N concurrent generators is necessarily a cone, it follows finally that every line through a point, P, of **zg meets its image at P, as asserted.

Since the writer had established this democratic procedure in the beginning he had to go along with their decision -- after, of course, pointing out whether he thought their decision was a wise or an unwise one.

Since the details of the elections were settled the change of government had no direct effect on the technical aspects of the elections, and may have been more important as an indication of royal displeasure with the U.N.F.P.

Since this type of item was not in the statute when section 381 was enacted in 1954, one cannot say with certainty what effect the enactment of that section should have.

Since on the one hand school desegregation has come in Virginia hand-in-glove with pupil assignment, shall we support the plan??

Since this book is concerned only incidentally with railroad rates, it will not attempt to analyze the methods by which the staff of the Interstate Commerce Commission has estimated out-of-pocket costs and apportioned residue costs.

Since the strength of the Mexicans had been underrated, too small a posse had been collected, and since the deputy had not been provided with search warrants, MacPherson and his men decided it was much wiser to withdraw.

Since they commonly translate thoughts and feelings into deeds, hands naturally represent action, and since nearly half the characters in Great Expectations are of the underworld or closely allied to it, the linking of hands with crime or violence is not to be wondered at.

Since by the principle of optimality the remaining stages use an optimal Af-stage policy with respect to Af, we may enter section Af of the table at this state Af and read off the optimal policy for stage Af and the resulting state Af.

Since the earth is rotating and the unleveled gyro-stabilized platform is fixed with respect to a reference in space, an observer on the earth will see the platform rotating ( with respect to the earth ).

Since Mr. Clark believes firmly that the chewing of hard foods helps develop healthy gums and teeth, raw vegetables and raw whole-wheat grains are handed out with fresh fruit and whole-wheat cookies at snack time in the afternoons.