Since this holds true when performing addition on any real numbers, we say that " addition of real numbers is an associative operation.

Since various Molly Pitcher tales grew in the telling, many historians regard Molly Pitcher as folklore rather than history, or suggest that Molly Pitcher may be a composite image inspired by the actions of a number of real women.

* 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.

Since then, real estate development in the area has continued robustly.

Since inflation lowers real wages, Keynesians view inflation as the solution to involuntary unemployment.

Since tangents and inverse tangents are both continuous, our identification function is a homeomorphism between the real line and the unit circle without ∞.

Since Cartesian coordinates are unique and non-ambiguous, the points of a Cartesian plane can be identified with all possible pairs of real numbers ; that is with the Cartesian product, where is the set of all reals.

Since the underlying behaviour doesn't violate local causality, it follows that neither does the additional effect of wavefunction collapse, whether real or apparent.

Since 1968, however, the lowest published count for power-of-two was long achieved by the split-radix FFT algorithm, which requires real multiplications and additions for.

Since every sequence of real numbers can be used to construct a real not in the sequence, the real numbers cannot be written as a sequence — that is, the real numbers are not countable.

Since " Barbellion " was the real author's pen name, many reviewers believed Wells to have been the true author of the Journal ; Wells always denied this, despite being full of praise for the diaries, but the rumours persisted until Barbellion's death later that year.

Since real numbers can be represented as distances or intervals on a line, the slide rule was invented in the 1620s to allow multiplication and division operations to be carried out significantly faster than was previously possible.

Since then, " Sang real " is sometimes employed to lend a medievalising air in referring to the Holy Grail.

Since nothing other than an intelligent cause has been demonstrated to be able to yield such a strong appearance of design, Darwinian claims notwithstanding, the conclusion that the design seen in life is real design is rationally justified.

Since that time, the parliament has demonstrated real independence from the executive branch.

Since that time, Parliament has demonstrated real independence from the executive branch.

Since the early 1980s, the Moroccan government has pursued an economic program toward accelerating real economy growth with the support of the International Monetary Fund, the World Bank, and the Paris Club of creditors.

Since the two teams play each other so infrequently in the regular season, some, including players on both teams, have questioned whether the Giants and Jets have a real rivalry.

Since the city authorities would not allow the new line to breach the customs wall, still standing at the time, it had to stop just short, at Potsdamer Platz, but it was this that kick-started the real transformation of the area, into the bustling focal point that Potsdamer Platz would eventually become.

Since an actual tract of land could not literally be brought into a courtroom as a person could, this was effected by giving notice upon the real property itself.

Since a national interpretation cannot be avoided it is unfortunate that the elections were not held in a way to maximize party responsibility and the educational effect of mass political participation.

Since they were hunting for national defense contracts, Adam Herberet, a man of surprising resources, entered the combination as a silent partner because of his political connections.

Since 2002, when the 27-year civil war ended, the country has worked to repair and improve ravaged infrastructure and weakened political and social institutions.

Since the Fall of Communism, the country's political leadership decided to pursue a pro-NATO policy, thus reducing military personnel and weaponry.

Since businesses make money and money leads to political power, business will inevitably use their power to influence governments.

Since its return to democracy in 1990, Chile has been an active participant in the international political arena.

Since Óscar Arias returned to office, the political debate has centered on whether to approve or reject CAFTA.

Since Chicanismo covers a wide array of political, religious and ethnic beliefs, and not everybody agrees with what exactly a Chicano is, most new Latino immigrants see it as a lost cause, as a lost culture, because Chicanos do not identify with Mexico or wherever their parents migrated from as new immigrants do.

Since the KMT had completed the first step of revolution through seizure of power in 1928, Chiang's rule thus began a period of what his party considered to be " political tutelage " in Sun Yat-sen's name.

Since the dissolution of Dead Kennedys, Biafra has continued to collaborate and record with other artists, including Mojo Nixon, Al Jourgensen of Ministry, and the Melvins, and has become a spoken word performer, covering political topics in particular.

Since then, the country has benefited from political stability.

Since independence, the two Presidents ( Macías and Obiang ) have been the dominant political forces in Equatorial Guinea.

Since 1979, President Obiang has been constrained only by a need to maintain a consensus among his advisers and political supporters, most of whom are drawn from the Nguema family in Mongomo, in the eastern part of Río Muni.

Since independence Eritrea's relationship with Ethiopia was entirely political, especially in the resuscitation and expansion of IGAD's scope.

Since then, it has been widely used in the social sciences, including anthropology, economics, philosophy, and political science.

Since Ōtomo had weak political support from his maternal relatives, the general wisdom of the time held that it was not a good idea for him to ascend to the throne, yet Tenji was obsessed with the idea.

Since Arafat's death, he is formally head of Fatah's political bureau and chairman, but his actual political following within Fatah appears limited.

Since World War II France has been a leading member in the UN, the European Union and NATO, and remains a strong economic, cultural, military and political influence in the 21st century.

Since the early 19th century, counties have adapted by legislation to meet new administrative and political requirements.

Since independence in 1962 there have been political and economic disturbances, as well as a number of strong political leaders.

Since leaving office Major has maintained a low profile, indulging his love of cricket as president of Surrey County Cricket Club until 2002 ( and Honorary Life Vice-President since 2002 ) and commentating on political developments in the manner of a wise elder statesman.

Since her election, she has become one of the most popular political figures in Latvia.