Since the imaginary part of the amplitude contains the phase of the beam, this results in the reversal of phase property of the effect.

Since a pure sine wave cannot convey any information, some change in amplitude or frequency, known as modulation, is required.

Since each amplitude envelope contains a group of internal waves, this speed is usually called the group velocity.

Since AM assumes short term changes in the amplitude to be information, any electrical impulse will be picked up and demodulated along with the desired carrier.

Since intensity is proportional to the square of pressure amplitude, this is just a variation on the inverse-square law.

Since hydrogen is the most abundant element almost everywhere in Universe and in stars, the pulsations generally have a great amplitude.

Since a SSEP can be completely described in terms of the amplitude and phase of each frequency component it can be quantified more unequivocally than an averaged transient evoked potential.

Since the time of Laplace ( 1799 ), scientists had been puzzled as to why pressure variations measured at the Earth's surface associated with the semi-diurnal solar tide dominate those of the diurnal tide in amplitude, when intuitively one would expect the diurnal ( daily ) passage of the sun to dominate.

Since the uncertainty ( and hence measurement noise ) stays constant at 1 / 2 as the amplitude of the oscillation increases, the state behaves more and more like a sinusoidal wave, as shown in Figure 1.

Since the atoms are spatially distributed in the unit cell, there will be a difference in phase when considering the scattered amplitude from two atoms.

Since the amplitude to travel from x to y after a time t + t ' can be considered in two steps, the propagator obeys the identity:

Since both frequency and amplitude information are preserved in the recorded call, more data is available for species analysis.

Since the wave amplitude increases the energy transferred to the wave for a given hull length the wave drag can be very sensitive to the vessel's weight.

Since the mantle is extremely viscous, the mantle flow rate varies in pulses which are reflected in the lithosphere by small amplitude, long wavelength undulations.

Since the amplitude of the acceleration is not very well perceived by humans, one can tilt the subject backwards and use the gravity vector as a replacement for correct resulting force from gravity and forward acceleration.

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 Love waves travel on the Earth's surface, the strength ( or amplitude ) of the waves decrease exponentially with the depth of an earthquake.

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 Rhode Island at that time did not have such sanction, his opinion was not popular.

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 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 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 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 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 a Skeletal Age rating can be made at any age during growth, from Elbow, Shoulder, Knee, or Foot as well as Hand, it seems to be the method of choice when one wishes to study most aspects of skeletal developmental progress during childhood.

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 that time the telegraph office has shifted in location from the railroad station at the Depot and shops at the Center back to the town clerk's office and drugstore at the Village.

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 experience indicates that effluents from oxidation ponds do not create major problems at these BOD concentrations, the goal for the effluent quality of the accelerated treatment system was the same as from conventional oxidation ponds.

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 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.

Since then, many Protestant denominations have made separate pronouncements, in which they not only approved birth control, but declared it at times to be a religious duty.

Since then he had worked at this and that, though some said his main interest was gambling.

Since the constitution forbids introduction of a tax bill at a fiscal session, the administration will either have to cut down expenses or inflate its estimates of anticipated revenues.

Since 1927, fewer than a dozen men have made serious runs at Babe Ruth's record and each, in turn, has been thwarted.

Since these electrons are moving like planets, you may wonder whether there is an atomic sun at the center of the atom.

Since an objective viewer might well conclude that this is not a situation that would often arise, the film's extensive discussion of the problem seems, at best, superfluous.

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 two of these could be trustees of the college, actually it would be necessary to have the consent of only one elected official to impose a levy of millions of dollars of tax revenue.

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

Since most European cars average more miles per gallon of gasoline than American cars, it naturally follows that the cost per kilometer for these models will be less, but the greater seating capacity of the large American cars will equalize this, provided your group is sufficiently large to fill a 7-passenger limousine.

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 none of these glimpses of poetizing without writing is intended to incorporate a signature into the epic matter, there is prima-facie evidence that Beowulf and the Homeric poems each derive from an oral tradition.

Since independence from Portugal in 1975, a number of Angolan students continued to be admitted every year at high schools, polytechnical institutes, and universities in Portugal, Brazil and Cuba through bilateral agreements ; in general, these students belong to the Angolan elites.

Since there is no binding authority in the Communion, these international bodies are a vehicle for consultation and persuasion.

Since the New Testament never condemns instruments themselves, much less in any of these settings, it is conceded that “ the church Fathers go beyond the New Testament in pronouncing a negative judgment on musical instruments .”

Since the aircraft normally approached these speeds only in a dive, pilots would report the aircraft attempting to nose over into the ground.

Since the Admiralty no longer exists as a department, these are now used as an " office bank " by the British government:

Since these two constructions are inverses of each other, we can say that every Boolean ring arises from a Boolean algebra, and vice versa.

Since patents and regulation ( e. g., U. S. Food and Drug Administration regulation in the U. S .) are very important issues for biotech enterprises, bioengineers are often required to have knowledge related to these issues.

Since these are a basis, any quantum state of the particle can be expressed as a linear combination ( i. e., quantum superposition ) of these two states:

Since individuals act according to different probability judgements, these agents ' probabilities are " personal " ( but amenable to objective study ).

Since a number of different architectural styles succeeded one another during the Angkorean period, not all of these features were equally in evidence throughout the period.

Since the mass numbers of these are 12, 13 and 14 respectively, the three isotopes of carbon are known as carbon-12, carbon-13, and carbon-14, often abbreviated to < sup > 12 </ sup > C, < sup > 13 </ sup > C, and < sup > 14 </ sup > C.

Since these were important positions, the senators were aghast at their being placed in the hands of former slaves.

Since these are two very different referents, the validity of the term has been called into question.

Since these components have different colors ( green, orange, and yellow, respectively ) they gave the technique its name.