Since the cracking is likely due to a brittle neck, the cases should be annealed before attempting to reform them, or the crack may propagate and ruin the newly formed shorter case as well.

Since the sound waves propagate, not from a single point source, but along the length of the lightning's path, the sound origin's varying distances from the observer can generate a rolling or rumbling effect.

Since entering into a coalition with For Fatherland and Freedom, the party increasingly sought to propagate a particularly ' Latvian ' vision for Latvia as highlighted by a series of controversial adverts encouraging the consumption of Latvian goods, and warning of the dangers of non-Latvians

Since these frequencies propagate by ground wave only, the precision of time signals is not affected by varying propagation paths between the transmitter, the ionosphere, and the receiver.

Since the carrier signal may propagate to nearby homes ( or apartments ) on the same distribution system, these control schemes have a " house address " that designates the owner.

Since sine waves propagate without changing form in distributed linear systems, they are often used to analyze wave propagation.

Since the output data from one service may be fed into another, a failure in one service may propagate into another service as a fault so a chain can be formed of the form: Fault leading to Error leading to Failure leading to Error, etc.

Since neither could colonize it, the exclusive right to propagate Christianity in Japan meant the exclusive right to trade with Japan.

Since HEK cells express a number of adenoviral genes, they can be used to propagate adenoviral vectors in which these genes ( typically, E1 and E3 ) are deleted, such as AdEasy.

Since Why Islam ( WI ) was launched in April 2000, the website has been used to propagate a better understanding of Islam for the general public.

Since signals on 15 meters propagate primarily via reflection off of the F-2 layer of the ionosphere, the band is most useful for intercontinental communication during daylight hours, especially in years close to the solar maximum.

Since the launch of the advert, many unofficial websites have popped up to propagate various stories about Kroski ( see unofficial biography below ), most of them differing from T-Mobile's official fictional biography, found on their in character homepage for the character.

( 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.

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

Since there is a limited number of frequencies for non-cable television and radio stations, the government licenses them to various companies.

Since NBC was the broadcast arm of radio set manufacturer RCA, its chief David Sarnoff approached his decisions as both a broadcaster and as a hardware executive ; NBC's affiliates had the latest RCA equipment, and were often the best-established stations, or were on " clear channel " frequencies.

Since the power wiring system was originally intended for transmission of AC power, the power wire circuits have only a limited ability to carry higher frequencies.

Since optical frequencies are far beyond the manipulation-capacity of any feasible electronic circuit, all photon detectors are inherently energy detectors not oscillating electric field detectors.

Since a single integrated circuit can provide a complete phase-locked-loop building block, the technique is widely used in modern electronic devices, with output frequencies from a fraction of a hertz up to many gigahertz.

Since the 1980s, versions for use at microwave frequencies have been made with patch antenna elements mounted in front of a metal surface.

Since these can be viewed as being made of millions of coupled moving parts ( such as atoms ), they can have millions of resonant frequencies.

Since plasma has minimal mass, but is charged and therefore can be manipulated by an electric field, the result is a very linear output at frequencies far higher than the audible range.

Since the frequency range of the typical noise experiment ( e. g. 1 Hz – 1 kHz ) is low compared with typical microscopic " attempt frequencies " ( e. g. 10 < sup > 14 </ sup > Hz ), the exponential factors in the Arrhenius equation for the rates are large.

Since SSTV systems operate on voice frequencies, amateurs use it on shortwave ( also known as HF by amateur radio operators ), VHF and UHF radio.

Since glass shows dispersion, these different frequencies will travel at different speeds and the shape of the pulse will therefore change over time.

Since the size of a directional antenna depends on it being large compared to the wavelength, very directional antennas of this sort are mainly feasible at UHF and microwave frequencies.

Since the ear is most sensitive to the middle frequencies produced by a midrange the driver and amplifier can both be low power, while still delivering what is perceived to be good sound both in terms of volume and quality.

Since the 1990s, a type of woofer ( termed subwoofer ), which is designed for very low frequencies only, has come to be commonly used in home theater systems and PA systems to augment the bass response ; they usually handle the very lowest two or three octaves ( i. e., from as low as 20 to perhaps 80 or 120 Hz ).

Since the Bohr model is not perfectly accurate, due to fine structure, hyperfine splitting, and other such effects, the Rydberg constant cannot be directly measured at very high accuracy from the atomic transition frequencies of hydrogen alone.

Since this circuit lacked any frequency-selective elements besides the broad resonance of the antenna, it had little ability to reject unwanted stations, so all stations within a wide band of frequencies were heard in the earphone ( in practice the most powerful usually drowns out the others ).

Since the power distribution system was originally intended for transmission of AC power at typical frequencies of 50 or 60Hz, power wire circuits have only a limited ability to carry higher frequencies.

Since we're only interested in a finite window of frequencies ( of size n, say ) this can be done using a Fast Fourier Transform algorithm.

Since the cable network is a closed system, frequencies used for over-the-air services such as mobile radio, cellular telephone, or aircraft communications can be assigned to carry television programming.

Since a frequency raised by one cent is simply multiplied by this constant cent value, and 1200 cents doubles a frequency, the ratio of frequencies one cent apart is precisely equal to 2 < sup > 1 / 1200 </ sup >, the 1200th root of 2, which is approximately 1. 0005777895.