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Since and fluctuations
Since shot noise is a Poisson process due to the finite charge of an electron, one can compute the root mean square current fluctuations as being of a magnitude
Since these particles do not have a permanent existence, they are called virtual particles or vacuum fluctuations of vacuum energy.
Since the two-fluid model, and therefore counterflow itself, is unique to superfluids, this counterflow turbulence is not observed classically ; the first observations of turbulence with direct classical counterparts has come much more recently through the investigation of pressure fluctuations in rotational flow and grid turbulence.
Since 2009, the Awami League in government faced several major political challenges, including BDR ( border security force ) mutiny, power crisis, unrest in garments industry and stock market fluctuations.
Since most of its members have historically been Mexican immigrants, Church growth has been subject to fluctuations in migration trends.
Since the fluctuations are isotropic,
Since the fluctuations are believed to arise from inflation, such measurements can also set constraints on parameters within inflationary theory.
Since these fields do not have a permanent existence, they are called vacuum fluctuations.
Since the elasticity measures the resistance of the network to either elastic ( reversible ) or plastic ( irreversible ) deformation, the fluctuations should grow larger as the elasticity declines.
Since the electric field amplitude of the local oscillator is much higher than that of the signal the intensity or fluctuations in the signal field can be seen.
Since 1715, however, P Cygni has been a fifth magnitude star, with only minor fluctuations in brightness.

Since and are
Since the hazards of poor communication are so great, p can be justified as a habitable site only on the basis of unusual productivity such as is made available by a waterfall for milling purposes, a mine, or a sugar maple camp.
Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.
Since we can neither undo nor redo the past, we are limited to the events of today and tomorrow.
Since the recognition of Israel as a nation state, claims are made in many cases which identify the claimant as a member of the new body politic.
Since accurate base maps are necessary for any planning program, the first step taken by the planning division to implement the long-range state plan has been to prepare two series of base maps -- one at a scale of 1 inch to a mile, and the second a series of 26 sheets at a scale of 1 inch to 2000 feet, covering the entire state.
Since conventional methods are insensitive at the low frequencies of these molecular transitions, the paramagnetic resonance method is being used instead.
Since broadcast frequencies are very limited in number, these objectives are to some extent inconsistent in that not all of them can be fully realized, and to the extent that each is realized, there is a corresponding reduction of the possibilities for fullest achievement of the others.
Since the provision of skywave service requires adequate freedom from interference, only class 1, stations are capable of rendering skywave service.
Since the sides are also covered up to the spray rails, they are also rough-sanded in that area.
Since fly cutters are one sided and not balanced, they should be used at the slowest speed available, and fed very slowly to avoid binding.
Since there are almost no schools in the country offering graduate work in interior design this rule cannot at present be observed.
Since charges are relatively the same, reserving a car before you leave for Europe will assure you of having one on tap when you want it.
Since practical washing procedures are both lengthy and expensive, a number of laboratory tests have been developed for the numerical evaluation of detergents.
Since the circulating thyroid hormones are the amino acids thyroxine and tri-iodothyronine ( cf. Section C ), it is clear that some mechanism must exist in the thyroid gland for their release from proteins before secretion.
Since emotional reactions in the higher vertebrates depend on individual experience and are aroused in man, in addition, by complex symbols, one would expect that the hypothalamus could be excited from the cortex.
Since Af are distinct prime polynomials, the polynomials Af are relatively prime ( Theorem 8, Chapter 4 ).
Since D and D' are both diagonalizable and they commute, they are simultaneously diagonalizable, and Af is diagonalizable.
Since N and N' are both nilpotent and they commute, the operator Af is nilpotent ; ;
Since Af are linearly independent functions and the exponential function has no zeros, these R functions Af, form a basis for the space of solutions.
Since the choice is by lot each week, the outcomes of different trials are independent.
Since two curves of symbol Af on Q intersect in Af points, it follows that there are Af lines of Af which are tangent to Aj.

Since and assumed
Since we are considering here relatively small diameter ( 1 - 1.5 inches ) fiber plates, their average thickness can be kept below 1/4 inch and their internal losses may be assumed as 15 percent ( per plate ).
Since the discovery of potassium by Humphry Davy, it had been assumed that alumina, the basis of clay, contained a metal in combination with oxygen.
Since Lowell astronomers thought Pluto was massive enough to perturb planets, they assumed that it should have an albedo of 0. 07 ( meaning that it reflected only 7 % of the light that hit it ); about as dark as asphalt and similar to that of Mercury, the least reflective planet known.
Since it is assumed in cosmology that the particles we see were created using the same physics we measure today, it would normally be expected that the overall baryon number should be zero, as matter and antimatter should have been created in equal amounts.
Since we've assumed that we can infallibly identify programs for computing squares, we can determine whether t, which depends on a and i, is such a program, and that for every a and i ; thus we have obtained a program that decides whether program a halts on input i. Note that our halting-decision algorithm never executes t, but only passes its description to the squaring-identification program, which by assumption always terminates ; since the construction of the description of t can also be done in a way that always terminates, the halting-decision cannot fail to halt either.
Since xenon is a volatile noble gas it can be assumed that there wasn't much of it in the rock to begin with.
Since it is much rarer than iodine, it can be assumed that most of the < sup > 129 </ sup > Xe present in the rock is a by-product of < sup > 129 </ sup > I decay.
Since the ideal core has been assumed to have near-zero reluctance, the magnetizing current is negligible, although still required, to create the magnetic field.
Since the action spectrum of sunburn and melanogenesis are virtually identical, they are assumed to be induced by the same mechanism.
Since the 1970s, the term has generally been assumed to refer to speeds of Mach 5 and above.
Since 1983 such laws and decrees also have to be affirmed by a signed affirmation ; it is usually assumed these acts coincide.
Since software is a vital contributor and inclusive of the system operation it is assumed the software will function normally as intended.
Since most trips by bicycle or walking are generally shorter, they are assumed to have stayed within one zone and are not included in the analysis.
Since the festival was celebrated by Athens and all the Ionian cities, it is assumed that it must have preceded the Ionian migration of the late eleventh or early tenth century BC.
Since the speed of light is so great, and as material bodies pass through the aether without obvious friction or drag, the aether was assumed to have a highly unusual combination of properties.
Since then there have been objections that the early environment was possibly not as reducing as Miller and Urey assumed and Miller acknowledged this.
Since the Borough ’ s creation, Bromley had always been under Conservative control until the local elections of 7 May 1998 when a Liberal Democrat / Labour coalition assumed power.
Since it was high, they assumed that the core was properly covered with coolant, unaware that because of steam forming in the reactor vessel, the indicator provided misleading readings.
Since Cleon died in 422 it can be assumed that this appeal was retained from the original production in 423 and thus the extant play must be a partial revision of the original play.
Since this figure does not appear in accounts from the Republican period, the princeps of the Saturnalia may have developed as a satiric response to Rome's transition from a participatory republic to imperial monarchy under a princeps, the title assumed by the first emperor Augustus to avoid the hated connotations of the word " king " ( rex ).
Since coming of age, Michael had assumed financial independence and his assets included the largest sugar refinery in the country, capital amounting to millions of roubles, a collection of motor vehicles, and country estates at Otrovo in Russian Poland and Brasovo near Orel.
Since the incident beam was assumed to have an intensity of one, this will also give the transmission function:
Since the assumed threat to Red Grouse is the main reason for the persecution of this species in the UK, a project funded by Scottish Natural Heritage, the Game & Wildlife Conservation Trust, the RSPB and Natural England was launched at Langholm Moor in Scotland from 2007.
Since the Renaissance until the late 19th century, men involved in the daily correspondence and the activities of the mighty had assumed the title of secretary.

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