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Since and scattering
Since the energy of an X-ray is much greater than that of a valence electron, the scattering may be modeled as Thomson scattering, the interaction of an electromagnetic ray with a free electron.
Since no energy is lost ( elastic, not inelastic scattering ), the wavelengths are the same as are the magnitudes of the wave-vectors | k < sub > in </ sub >|=| k < sub > out </ sub >|.
Since the light scattered from extremely small dust particles is strongly forward scattering, although the zodiacal light actually extends all the way around the sky, it is brightest when observing at a small angle with the sun.
Since the frequency of solar eruptive events is strongly modulated by the solar cycle, the degree of cosmic ray scattering in the outer solar system varies in step.
Since the scattering is isotropic, the net momentum is transferred in the forward direction.
Since its early statement for radiolocation, many applications have been found for inverse scattering techniques, including echolocation, geophysical survey, nondestructive testing, medical imaging, quantum field theory.
Since Doppler frequency depends on the angle of the scattering point's direction from the broadside direction, the Doppler bandwidth available within the beamwidth is the same at all ranges.
Since most of the Danes were unable to keep pace with the faster Dutch ships, the race for advantageous position along the coast had also contributed to the scattering of the allied fleet.
Since and have the same length the scattering vector must lie on the surface of a sphere of radius.
Since the Stokes lines and anti-Stokes lines gain and lose the same amount of energy, they are symmetric with respect to the peak due to elastic ( Rayleigh ) scattering ().
Since the dyes are in the emulsion rather than in the chemistry, the image is also much sharper and clearer because the dyes create an anti-light scattering layer which keeps the reflected image from being diffused when viewed.
Since there are very many particles to cause scattering in this region, the Rayleigh fading statistical model may usefully predict behaviour and performance in this kind of system.
Since neutrons interact with the nuclear potential, the scattering cross-section varies for different isotopes of the element in question.
Since detached objects ' orbits cannot be produced by Neptune scattering, alternative scattering mechanisms have been put forward, including a passing star or a distant, planet-sized object.

Since and angle
Since the telescope has been adjusted by the angle SES ′, the star's apparent position is hence displaced by the same angle.
Since the maximum aperture of the pencils issuing from O is the angle u subtended by the entrance pupil at this point, the magnitude of the aberration will be determined by the position and diameter of the entrance pupil.
Since they act to hold the tendon further away from the joint, the angle of the tendon is increased and thus the leverage of the muscle is increased.
Since this also results in a prediction for the relative strengths of the fundamental interactions which we observe, in particular the weak mixing angle, Grand Unification ideally reduces the number of independent input parameters, but is also constrained by observations.
Since the phase velocity is lower in the second medium ( v < sub > 2 </ sub > < v < sub > 1 </ sub >), the angle of refraction θ < sub > 2 </ sub > is less than the angle of incidence θ < sub > 1 </ sub >; that is, the ray in the higher-index medium is closer to the normal.
Since each cylinder bank is essentially a straight-6, this configuration has perfect primary and secondary balance no matter which V angle is used and therefore needs no balance shafts.
Since this angle varies depending on system loading and generation, it is undesirable for the angle to approach 90 degrees.
Since the refractive index for a given medium changes depending on the wavelength of light, Brewster's angle will also vary with wavelength.
Since this is an electromagnetic wave each electric field vector has a corresponding, but not illustrated, magnetic field vector that is at a right angle to the electric field vector and proportional in magnitude to it.
Since the velocity is lower in the second medium ( v < sub > 2 </ sub > < v < sub > 1 </ sub >), the angle of refraction θ < sub > 2 </ sub > is less than the angle of incidence θ < sub > 1 </ sub >; that is, the ray in the higher-index medium is closer to the normal.
Since the head is facing a different direction, the rotation matrix would be popped off the top of the stack and a different rotation matrix about the y-axis with a different angle would be pushed.
Since the measurement of angle A is greater than 90 °, we can deduce that A is an obtuse angle.
Since its emergence in the English language in the 16th century ( related to the German quer, meaning " across, at right angle, diagonally or transverse "), queer has generally meant " strange ", " unusual ", or " out of alignment ".
Since this intensity depends upon both distance and relative angle to the screen, angle sensors are located in the gun.
Since the reaction wheel is a small fraction of the spacecraft's total mass, easily-measurable changes in its speed provide very precise changes in angle.
Since the planes are fixed, each rotation has only one degree of freedom, its angle.

Since and is
Since the Supreme Court's decision of that year this is more doubtful ; ;
( 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 it is not far from Viareggio, he will visit Puccini's house, as he never fails to do, to pay his respects to the memory of the composer of La Boheme, which he considers one of Puccini's masterpieces.
Since attack serves to stimulate interest in broadcasts, I added to my opening statement a sentence in which I claimed that German youth seemed to lack the enthusiasm which is a necessary ingredient of anger, and might be classified as uninterested and bored rather than angry.
Since the air is a continuum, the network of communication remains intact regardless of the positions or motions of the points ( the people ) in the net.
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 difficulty of drawing the net is great, we will merely discuss it.
Since a civilizational crisis involves also a crisis in private interests and in the ruling class, reaction is normally found among those who feel themselves to be among the ruling class.
Since civilizational change is the most difficult to perceive and analyze, it seldom is given adequate attention.
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 more is known about Quiney than about any other acquaintance of Shakespeare in Stratford, his career may be followed to its sudden end in 1602.
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.
Since Laos is of no more purely military value to Moscow itself than it is to Washington, this approach might be expected to head off Mr. Khrushchev for the moment.
Since little is known about autism, and almost nothing has been written for the layman, we'd like to share one experienced mother's comments.
Since the work is done by hand, the only limitation, it is said, `` is that of human conception ''.
Since the apparatus is new, it requires experimentation and changes in technique.
Since the obvious is not always true, the Republican National Committee wisely analyzed its defeat of last autumn and finds that it occurred, as suspected, in the larger cities.
Since he has just shown who is top dog, he may not be ready to receive this highest honor in the gift of the Soviet people.
Since appeals to morality, to humanity, and to sanity have had such small effect, perhaps our last recourse is the deterrent example.
Since the goal of our international planners is a World Government, this Atlantic Community would mark a giant step in that direction for, once American economic autonomy is absorbed, a larger grouping is a question of time.

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