A final class of exceptional lines is identifiable from the following considerations: Since no two generators of Af can intersect, it follows that their image curves can have no free intersections.

* Since Big Brother 2, the UK series always opens with a twist which have included the public being able to choose the final housemate out of three possibilities ( Big Brother 2 ), the public voting for a housemate to leave during the first week and then the housemates choosing between the two housemates with the least number of votes ( Big Brother 3 ), First Night Nominations ( Big Brother 4 ), Suitcase Nominations ( Big Brother 5 ), Unlucky Housemate 13 ( Big Brother 6 ), Big Brother Hood ( Big Brother 7 ), an all-female House and the first inclusion of twins as contestants ( Big Brother 8 ), the first couple to enter as housemates and set a secret task to hide their real relationship ( Big Brother 9 ), all " housemates " really being " non-housemates " who had to earn their housemate status ( Big Brother 10 ), a mole entering the House with an " Impossible Task " ( Big Brother 11 ), Jackie Stallone entering a house containing her son's ex-wife ( Celebrity Big Brother 3 ), the entrance of a non-celebrity in a celebrity edition ( Celebrity Big Brother 4 ) and Jade Goody's family announced to be visiting.

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 then, only Ted Williams ( 1960, 29 ), Dave Kingman ( 1986 ; 35 ), Mark McGwire ( 2001 ; 29 ), and Barry Bonds ( 2007 ; 28 ) have hit as many or more homers in their final season.

Since he was afraid that he might die before completing the final revision of the Institutes, he forced himself to work.

Since at least the 18th century Freemasonry has incorporated Templar symbols and rituals in a number of Masonic bodies, most notably, the " Order of the Temple " the final order joined in " The United Religious, Military and Masonic Orders of the Temple and of St John of Jerusalem, Palestine, Rhodes and Malta " commonly known as the Knights Templar.

Since growth is controlled by heat diffusion, anisotropy in thermal conductivity favors growth in specific directions, which has also an effect on the final shape.

He received his third and final Oscar in 1944 for Since You Went Away.

Since taking over the franchise, Attanasio has worked hard to build bridges with Milwaukee baseball fans, including giving away every seat to the final home game of 2005 free of charge and bringing back the classic " ball and glove " logo of the club's glory days on " Retro Friday " home games, during which they also wear versions of the team's old pinstriped uniforms.

Since the move to Milwaukee received final approval less than a week before the start of the season, there was no time to order new uniforms.

Since only the poets with the best cumulative scores advance to the final round of the night, the structure assures that the audience gets to choose from whom they will hear more poetry.

Since 1996, when Sweden and Finland formally won a final exemption from the European Economic Area rules with 60-tonne and 25. 25-metre combinations, all other member states gained the ability to adopt the same rules.

Since the 1901 FA Cup final the Tottenham Hotspur crest has featured a cockerel.

Since 1975, the last stage of the Tour de France has finished on the Champs-Élysées, with riders typically making six to eight circuits back and forth on the avenue, with a furious final sprint.

Since IOC members were forbidden from visiting the candidate cities ( in the interests of reducing bribery ), the 109th IOC Session elected a special body, the Selection College, to choose finalist cities from the pool of candidate cities after each had made their final presentations to the full IOC Session.

Since 1987, the US Open has been chronologically the fourth and final tennis major comprising the Grand Slam each year ; the other three are the Australian Open, French Open and Wimbledon.

Since the late 1980s, the federal United States Environmental Protection Agency and the state DEP have worked to clean up contamination in adjacent areas, but a final remedy for the site itself has remained on hold in recent years, as local officials and citizens fight with the government agencies and Gould over the best solution.

Since film is much slower than digital sensors, tiny errors in tracking can be corrected without much noticeable effect on the final image.

Since 1967, the final has been played as a single match at Wembley Stadium, although the Millennium Stadium in Cardiff was used between 2001 and 2007, following the demolition of the old Wembley.

Since 1990, the best player in the League Cup final – as chosen by the Sky Sports television panel – has been presented with the Alan Hardaker trophy, named after the former secretary of The Football League who devised the Football League Cup.

Since nearly half a century lies between Wulfstan's death ( 1095 ) and John's final entry ( 1140 ), historian Simon Keynes has offered the tentative suggestion that Florence may have been the monk first commissioned by Wulfstan to compile material for a world chronicle and that John continued the task.

Since Gaye's death, fans of the singer will crowd around Gaye's final residence where he was murdered to hold vigils on the day of his birthday.

Since the question of sanity or insanity is a legal question and not a medical one, the judge and or jury will make the final decision regarding the defendant's status regarding an insanity defense.

Since 2011 winners of the challenge events are no longer automatically qualified to enter the final round.

Since later television designs include composite, S-Video, and component video jacks, which skip the modulation and demodulation steps, modulators are no longer included as standard equipment, and RF modulators are now largely a third-party product, purchased primarily to run newer equipment such as DVD players with an old television set.

Since this RF emission is easily obtained from the ground and EUV flux is not, this value has been measured and disseminated continuously since 1947.

Since torque limit depends only on thread quality and cleanliness, whereas the main operational requirement is good RF contact without significant steps or gaps, these values should be seen as indicative rather than critical.

: Since the television signals are vestigial sideband modulation, if the beat products can be manipulated to fall on or near the RF carriers themselves, they are much less offensive.

Since RF resonators have external electrodes they are not prone to those problems.

Since the end of March 2010, the station is now also simulcast on WANN-LD, a low-power digital TV station on physical ( RF ) TV channel 29 in Atlanta.

Since no conventional RF source can provide the necessary power for CLIC beam acceleration at a frequency of 12 GHz, a two-beam acceleration scheme has been designed.

Since the outer conductor layer is low-impedance copper, and the center is higher impedance steel, the skin effect gives copper-clad RF transmission lines impedance at high AC frequencies similar to that of a solid copper conductor.

Since the wavelength of hollow macroscopic, conducting devices is in the radio frequency band, the design of such cavities and other RF devices is also a part of accelerator physics.

Since the peak RF current normally flows from one stator to the other without going through wiper contacts, butterfly capacitors can handle large resonance RF currents, e. g. in magnetic loop antennas.

Since grid voltage changes from-1. 5 V to-0. 5 V, and anode resistor voltage drop from 12 to 33 V, amplification of signal resulted.

Since these sorts of " vacuum tubes " have functions other than electronic amplification and rectification they are described in their own articles.

Since enzyme reactions are very well known amplification processes, the signal is generated by enzymes which are linked to the detection reagents in fixed proportions to allow accurate quantification-thus the name " enzyme linked ".

Since this technology easily fits into the fast evolving fiber laser field and there is demand for transversal coherent high-intensity light sources ( i. e., broadband telecommunication, imaging applications ), Raman amplification and spectrum generation might be widely used in the near-future.

Since this enzyme is destroyed during each heating step of the amplification process, new enzyme had to be added every cycle.

Since even well-engineered IP networks tend to have a small residual packet loss rate caused by low-probability statistical congestion events and amplification of bit errors in the underlying hardware, most professional solutions use some kind of forward error correction to ensure that the encoded video stream can be reconstructed even if a few packets are lost.

Since VSV undergoes a rapid cytolytic replication cycle, infection leads to death of the malignant cell and roughly a 1000-fold amplification of virus within 24h.

Since 2003 the company phased out products based on linear amplifiers, specialising in class D power amplification instead.

Since the cost of a pedal harp is so high, it is more economical for a harpist to purchase an electro-acoustic model of pedal harp, as it can also be played without amplification.