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 the remainders decrease with every step but can never be negative, a remainder r < sub > N </ sub > must eventually equal zero, at which point the algorithm stops.

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 he can neither accept nor reject them all, he must be governed by the time and energy available for his prime professional obligations.

Since the relation between changes in Gibbs free energy ( G ), the enthalpy ( H ) and the entropy is

Since this process does not involve any heat transfer or work, the First Law of Thermodynamics then implies that the net internal energy change of the system is zero.

Since meat has a higher energy density than vegetables, and cooking it allows more nutrients to be liberated to the body, the introduction of cooked meat in the human diet reduced the energy requirements of the digestive system.

Since the start of the " Special Period " in 1991 ( energy shortages caused by the loss of the Soviet Union as a trading partner ), hitchhiking and carpooling have become important parts of Cuba's transportation system and society in general.

Since it is time-consuming to calculate the energy for a molecule, it is even more time-consuming to calculate them for the entire list of points in the Brillouin zone.

Since the value of this energy depends on the shapes and positions of the conductors and dielectrics, the Casimir effect manifests itself as a force between such objects.

Since the energy levels of electrons in atoms are discrete, each element and each molecule emits and absorbs its own characteristic frequencies.

Since such radiation can produce severe damage to life at powers that produce very little heating, it is considered far more dangerous ( in terms of damage-produced per unit of energy, or power ) than the rest of the electromagnetic spectrum.

Since electrical energy cannot easily be stored in quantities large enough to meet demands on a national scale, at all times exactly as much must be produced as is required.

Since the free energy is the maximum amount of work that can be extracted from a system, one can write:

Since work is defined as a force acting through a distance ( a length of space ), energy is always equivalent to the ability to exert pulls or pushes against the basic forces of nature, along a path of a certain length.

Since 1918 it has been known that the law of conservation of energy is the direct mathematical consequence of the translational symmetry of the quantity conjugate to energy, namely time.

Since the kinetic energy of a molecule is proportional to its temperature, evaporation proceeds more quickly at higher temperatures.

Since unsaturated fats contain fewer carbon-hydrogen bonds than saturated fats with the same number of carbon atoms, unsaturated fats will yield slightly less energy during metabolism than saturated fats with the same number of carbon atoms.

Since the stored energy in the barrier is less than the energy stored in a barrier-free region of the same length due to destructive interference, the group delay for the energy to escape the barrier region is shorter than it would be in free space, which according to Winful is the explanation for apparently superluminal tunneling.

Since the heat source that supplies thermal energy to the engine can thus be powered by virtually any kind of energy, heat engines are very versatile and have a wide range of applicability.

Since the stopping force F times that distance must be equal to the head's kinetic energy, it follows that F will be much greater than the original driving force f — roughly, by a factor D / d.

Since the early 20th century, the term is used almost exclusively in conjunction with the modern development of hydro-electric power, which allowed use of distant energy sources.

Since the potential energy depends on the spatial arrangement of the particles, the kinetic energy will also depend on the spatial configuration to conserve energy.