Since p ( x ) is irreducible, this means that p ( x ) = k ( x − a ), for some k ∈ F

Since Fujiko F. died in 1996 before any decisions were reached, any " endings " of Doraemon are fan fiction.

In his introduction, Blevins writes, " Since the time of F. C. Baur, very few scholars have doubted the Pauline authorship of the letter.

* Lyons, F. S. L., Ireland Since the Famine ISBN 0-00-633200-5

Since the stopping force F times that distance must be equal to the head's kinetic energy, it follows that F will be much greater than the original driving force f — roughly, by a factor D / d.

Since annealing brass requires heating it to about 660 F ( 350 C ), the heating must be done in such a way as to heat the neck to that temperature, while preventing the base of the case from being heated and losing its hardness.

Since alcohol has a much lower freezing point (- 114 ° C ;-173. 2 ° F ) than water and doesn't form crystals, when the ice is filtered off, the alcohol concentration increases.

Since there is a one-to-one correspondence between Borel regular measures in the interval and functions of bounded variation ( that assigns to each function of bounded variation the corresponding Lebesgue-Stieltjes measure, and the integral with respect to the Lebesgue-Stieltjes measure agrees with the Riemann-Stieltjes integral for continuous functions ), the above stated theorem generalizes the original statement of F. Riesz.

Since there is a slight spread in the incoming wavelengths of the incoming X-ray beam, the values of | F ( q )| can be measured only for q vectors located between the two spheres corresponding to those radii.

Since outside temperatures can possibly range from-40 ° C (- 40 ° F ) to 46 ° C ( 115 ° F ), with varying degrees of solar loading, along with humidity levels ranging from below 10 % up to 100 %, significant environmental stresses within the enclosure or facility can be produced.

* Since 1963 and the success of the “ Frou-Frou ” revue, out of superstition Jacki Clérico chooses only revue titles that start with the letter F. Naturally, the famous French cancan is performed at every revue.

Since the Poynting vector only occurs in Poynting's theorem as a divergence ∇ • S, the Poynting vector S is arbitrary to the extent that one can add a curl of a field F to S,

Every prime ideal P in a Boolean ring R is maximal: the quotient ring R / P is an integral domain and also a Boolean ring, so it is isomorphic to the field F < sub > 2 </ sub >, which shows the maximality of P. Since maximal ideals are always prime, prime ideals and maximal ideals coincide in Boolean rings.

Since ord ( g ) = 0, the element g is invertible in K < nowiki ></ nowiki > X < nowiki ></ nowiki > ⊂ im ( D ) = ker ( Res ), whence Res ( ƒ '/ ƒ ) = m. Property ( iv ): Since ker ( Res ) ⊂ im ( D ), we can write ƒ = ƒ < sub >− 1 </ sub > X < sup >− 1 </ sup > + F ', with F ∈ K (( X )).

Since its inception, 12 researchers associated with Berkeley Lab ( Ernest Lawrence, Glenn T. Seaborg, Edwin M. McMillan, Owen Chamberlain, Emilio G. Segrè, Donald A. Glaser, Melvin Calvin, Luis W. Alvarez, Yuan T. Lee, Steven Chu, George F. Smoot and Saul Perlmutter ) have been awarded the Nobel Prize.

Since then, photos have shown that Presidents John F. Kennedy and Bill Clinton have also used The World Almanac as a resource.

Since they form from initially extratropical cyclones which have colder temperatures aloft than normally found in the tropics, the sea surface temperatures required for their formation are lower than the tropical cyclone threshold by 3 ° C ( 5 ° F ), lying around 23 ° C ( 73 ° F ).

Since 1938 the Chamber of Commerce has given free lemonade when the temperature has surpassed 90 ° F.

Since a Fahrenheit-sized interval of temperature is only < sup > 5 </ sup >⁄< sub > 9 </ sub > that of a Celsius-sized interval, the value is typically expressed as 10. 4 ( µin / in )/° F rather than 18. 7 ( µin / in )/° C .< sub > </ sub ></ ref > Similarly, a metering pump that injects a trace chemical into the main process line at the proportional flow rate Q < sub > p </ sub > = 125 ppm, is doing so at a rate that may be expressed in a variety of volumetric units, including 125 µL / L, 125 µgal / gal, 125 cm < sup > 3 </ sup >/ m < sup > 3 </ sup >, etc.

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.

Since then, the normal modes of the Earth have given us some of the strongest constraints on the deep structure of the Earth.

Since the strongest teams in men's volleyball at the time belonged to the Eastern Bloc, the American-led boycott of the 1980 Summer Olympics did not have as great an effect on these events as it had on the women's.

Since the death of Owain Gwynedd in 1170, Rhys ap Gruffydd had made the southern kingdom of Deheubarth the strongest of the Welsh kingdoms, and had established himself as the leader of Pura Wallia.

Since the strong force is a short-range interaction, these effects are strongest if the atomic orbital involved is close to the nucleus, when the energy levels involved may broaden or disappear because of the absorption of the hadron by the nucleus.

Since his death, he has been celebrated by American art historians as " the strongest, most profound realist in nineteenth-and early-twentieth-century American art ".

Since the 1970s, Bayern's main rivals have been the clubs who put up the strongest fight against its national dominance.

Since the late 20th century all-aspect heat-seeking designs can lock-on to a target from various angles, not just from behind, where the heat signature from the engines is strongest.

Since the early 1990s, he has faced his strongest opposition from the Anglophone population of the former Southern Cameroons in the western part of the country.

Since Alekhine won the title in 1927, he had been avoiding a rematch with his predecessor, Capablanca, whom many considered the strongest possible challenger.

Since then, the Círio is celebrated as a long procession of faith, in which thousands of people follow the saint through the streets of Belém, in a manifestation that lasts around five hours for unity, emotion and devotion, with no distinction of social classes, to express the strongest devotion to the belief.

Since 2005, it has been tested to be the strongest chess program available on a handheld device.

Since then, WCCB has been one of the strongest Fox stations in the country, particularly since the National Football Conference of the NFL moved its television package from CBS to Fox in 1994.

Since the onset of the SGEM, reaction to the movement has been mixed, and its strongest opponents have included linguists and social commentators.

Since WKEF already had to compete in its own market with WDTN and CBS affiliate WHIO-TV -- two of their networks ' strongest performers -- it found the going rather difficult.

Since no single party holds an absolute majority, the strongest party or party family will usually create a coalition with other parties to form the government.

By this time Truman was pessimistic about international arms control and told his advisors " Since we can't obtain international control we must be strongest in atomic weapons.

Since the early 1980s, she has been one of the strongest female players in the world.

Since joining fellow international Nana Attakora in the centre of defence the Canadian partnership has become one of the strongest in the league.

Since no single party holds an absolute majority, after the election the strongest party or party family will usually create a coalition with some of the other parties to form the government.

Since the left-wing groups were the strongest critics of the colonial system, progress on self-government stalled for several years.

Since the turn of the 21st century, Montepaschi has established itself as one of the strongest clubs in Europe, with a win in the Saporta Cup, seven Italian League Championships, and regular Euroleague appearances, including four trips to the competition's Euroleague Final Four.

Since then, JGR has become the strongest and has won the most out of any Toyota team.