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Since and both
Since these duties fit neatly with those of the proposed presidential aide, one person, with adequate staff assistance, could fill both jobs.
Since practical washing procedures are both lengthy and expensive, a number of laboratory tests have been developed for the numerical evaluation of detergents.
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 Fogg's was a one-man, one-plane flying service, this meant that he would have to do both trips, flying alone 600 miles a day, under sub-freezing temperature conditions.
Since the adoption of a new constitution, early in 2010, the politics of Angola takes place in a framework of a presidential republic, whereby the President of Angola is both head of state and head of government, and of a multi-party system.
Since its independence, Armenia has maintained a policy of complementarism by trying to have friendly relations both with Iran, Russia, and the West, including the United States and Europe.
Since the Second World War, both theoretical and experimental fields have advanced at a rapid pace.
Since this picture was first developed by Ernst Stueckelberg, and acquired its modern form in Feynman's work, it is called the Feynman-Stueckelberg interpretation of antiparticles to honor both scientists.
Since 1972, the Roman Catholic Church uses the name " Anointing of the Sick " both in the English translations issued by the Holy See of its official documents in Latin and in the English official documents of Episcopal conferences.
Since the launch of Breakfast in 2000, the programme has been simulcast on both BBC One and BBC News, replacing the individual breakfast news programmes that had been run by both channels.
Since early 1989 the government recognizes both Israel and the Palestinian state.
Since most Western economies are now considered " open " with free capital movement, this essentially means that central banks may target interest rates or exchange rates with credibility, but not both at once.
Since then Calvin and Hobbes creator Bill Watterson has written extensively on the issue, arguing that size reduction and dropped panels reduce both the potential and freedom of a cartoonist.
Since current can be the flow of either positive or negative charges, or both, a convention for the direction of current which is independent of the type of charge carriers is needed.
Since tangents and inverse tangents are both continuous, our identification function is a homeomorphism between the real line and the unit circle without ∞.
Since both the noun and enclitic were declined, this led to " double declension ".
Since 2002, molecular phylogenetic studies have recognized a close relationship between Hydrochoerus and Kerodon supporting placement of both genera in a subfamily of Caviidae.
Since 2001, both baronies have been redesignated the City of Dublin.
Since two houses may be very different from one another, a design pattern for houses must be broad enough to apply to both of them, but not so vague that it doesn't help the designer make decisions.
Since 2004, the colón stopped circulating and is now never used in the country for any type of transaction ; however some stores still have prices in both colons and U. S. dollars.
In the first step, the final nonzero remainder r < sub > N − 1 </ sub > is shown to divide both a and b. Since it is a common divisor, it must be less than or equal to the greatest common divisor g. In the second step, it is shown that any common divisor of a and b, including g, must divide r < sub > N − 1 </ sub >; therefore, g must be less than or equal to r < sub > N − 1 </ sub >.
Since both birds are stringy, and taste unpleasant, the skin and feathers could be kept and filled with the cooked, minced and seasoned flesh of tastier birds, like goose or chicken.
Since 2002, the new Afghan government has engaged in cordial relations with both Iran and the United States, even as relations between Iran and the United States have grown strained due to American objections to Iran's nuclear program.

Since and frequency
Since frequency and wavelength are inversely proportional, this is equivalent to saying that the frequency of the light is reduced towards the red part of the light spectrum, giving this phenomenon the name redshift.
Since a pure sine wave cannot convey any information, some change in amplitude or frequency, known as modulation, is required.
Since the signal frequency is changing, by the time the signal returns to the aircraft the transmit frequency has changed.
Since time is the reciprocal of frequency, it is relatively easy to derive a time standard from a frequency standard.
Since the local oscillator would rapidly drift in frequency, an automatic correction signal was applied to the oscillator, maintaining it in the same phase and frequency as the desired signal.
Since individual harmonic amplitudes are measured, it is required that the manufacturer disclose the test signal frequency range, level and gain conditions, and number of measurements taken.
Since the sound frequency is infrasonic, around 4 Hz, the effect is very uncomfortable for occupants, who feel the vibration rather than hear it.
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 the Federal Communications Commission ( FCC ) amended rules to allow frequency hopping spread spectrum systems in the unregulated 2. 4 GHz band, many consumer devices in that band have employed various spread-spectrum modes.
Since transposition does not affect the frequency of individual symbols, simple transposition can be easily detected by the cryptanalyst by doing a frequency count.
Multiply by the switching frequency on the load capacitances to get the current used, and multiply by voltage again to get the characteristic switching power dissipated by a CMOS device:. Since most gates do not operate / switch at every clock cycle, they are often accompanied by a factor, called the activity factor.
Since energy and momentum are related in the same way as frequency and wavenumber in special relativity, it followed that the momentum p of a photon is proportional to its wavenumber k.
Since the exactness of quartz oscillators is limited, real cards will have slightly higher or lower frequency.
Since 2005, UB has been particularly active and has increased the frequency of student activities, and is responsible for the emergence of the school spirit and booster group Scarlet Fever ; UB it has been active since its founding on November 23, 1938.
Since a delay line held a defined number of bits, the frequency of the clock had to change with the temperature of the mercury.
Since with electromagnetic radiation like microwaves frequency is inversely proportional to wavelength, the wavelength of the waves is also affected.
Since wavelength and frequency are tied together through a simple directly inverse relationship, the two terms actually describe the same concept.
Since different frequency components of the signal are affected independently, it is highly unlikely that all parts of the signal will be simultaneously affected by a deep fade.
Since the difference in the energy levels of the electrons is determined by the external magnetic field, there is a frequency at which this small AC field will cause the electrons to change states.
Since then, the superheterodyne circuit, with its intermediate frequency, has been used in virtually all radio receivers.

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