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[ "The circle would be regarded as a degenerate case . With the circle , the function would not be strictly monotonic , but constant .", "The circle would be regarded as a degenerate case ( the function not being strictly monotonic , but rather constant ) ." ]
[ "Spirals are also a symbol of hypnosis . This most likely comes from the clichà of people and cartoon characters being hypnotized by staring into a spinning spiral ( One example being Kaa in Disney 's The Jungle Book ) .", "Spirals are also a symbol of hypnosis , stemming from the clichà of people and cartoon cha...
[ "where is the index number of the floret and is a constant scaling factor , and is a form of Fermat 's spiral .", "where n is the index number of the floret and c is a constant scaling factor , and is a form of Fermat 's spiral ." ]
[ "The study of spirals in nature have a long history , Christopher Wren found out that many shells form a logarithmic spiral .", "The study of spirals in nature have a long history , Christopher Wren observed that many shells form a logarithmic spiral ." ]
[ "See also triple spiral .", "See , for example , the triple spiral ." ]
[ "A two-dimensional spiral may be described most easily using polar coordinates . There the radius r is a continuous monotonic function of angle Î ( theta ) .", "A two-dimensional spiral may be described most easily using polar coordinates , where the radius r is a continuous monotonic function of angle Î ." ]
[ "Scholars are still talking about the subject , but many of them now believe that the simple spiral in Chinese art may be a symbol of the sun .", "While scholars are still debating the subject , there is a growing acceptance that the simple spiral , when found in Chinese art , is an early symbol for the sun ." ]
[ "The spiral is also a prominent symbol in the anime Gurren Lagann , where it symbolizes the double helix structure of DNA , representing biological evolution , and the spiral structure of a galaxy , representing universal evolution .", "The spiral is also found in structures as small as the double helix structure...
[ "In some shell such as Nautilus and ammonites the generating curve revolves in a plane pirpendicular to the axis and the shell will form a planer discoid shape .", "In some shell such as Nautilus and ammonites the generating curve revolves in a plane perpendicular to the axis and the shell will form a planar disc...
[ "The spiral plays an important role in symbolism . It appears in megalithic art , notably in the Newgrange tomb or in many Galician petroglyphs such as the one in Mogor .", "The spiral plays a specific role in symbolism , and appears in megalithic art , notably in the Newgrange tomb or in many Galician petroglyph...
[ "Roof tiles from the Tang Dynasty with this symbol have been found west of the ancient city of Chang ` an ( modern-day Xian ) .", "Roof tiles dating back to the Tang Dynasty with this symbol have been found west of the ancient city of Chang ` an ( modern-day Xian ) ." ]
[ "Almost all countries agree that torture is a violation of human rights . This has been stated in the Universal Declaration of Human Rights .", "It is considered to be a violation of human rights , and is declared to be unacceptable by Article 5 of the UN Universal Declaration of Human Rights ." ]
[ "Jhangra is one of the 51 Union Councils of Abbottabad District in the North-West Frontier Province of Pakistan .", "Jhangra is a small town and one of the 51 union councils of Abbottabad District in Khyber-Pakhtunkhwa province of Pakistan ." ]
[ "Villers-Agron-Aiguizy is a commune . It is found in the region Picardie in the Aisne department in the north of France .", "Villers-Agron-Aiguizy is a commune in the Aisne department in Picardy in northern France ." ]
[ "Lindsborg is home to Bethany College .", "Lindsborg is the home of :" ]
[ "Thierry Henry ( born 17 August 1977 in Les Ulis , Essonne , France ) is a French football player .", "Thierry Daniel Henry ( ; born 17 August 1977 ) is a French professional footballer who plays for the New York Red Bulls in Major League Soccer ." ]
[ "Txiki Begiristain ( born 12 August 1964 ) is a former Spanish football player .", "Aitor ` Txiki ' Begiristain MÃ jica ( born 12 August 1964 in Olaberria , Gipuzkoa , Basque Country ) is a retired Spanish footballer , who played professionally during the 1980s and 1990s ." ]
[ "The British Invasion is an event where many rock and roll , beat , and pop bands from the United Kingdom became very popular in the United States , Australia , and Canada .", "The British Invasion is a term used to describe the large number of rock and roll , beat , rock and pop performers from the United Kingdo...
[ "The bomb was dropped on the Japanese city of Hiroshima on August 6 , 1945 by the American army who were trying to end World War II . Enola Gay was the name of the plane that dropped Little Boy .", "`` Little Boy '' was the codename of the atomic bomb dropped on Hiroshima on August 6 , 1945 by the Boeing B-29 Sup...
[ "Galician is very close to Leonese language .", "However , the Galician community does not regard Galician as a variety of Portuguese but as a distinct language . They point out that modern Galician descended , without interruption and in situ , from mediaeval Galician ." ]
[ "Biricodar is dicitrate salt called Incel . It is a pharmaceutical drug made by Vertex Pharmaceuticals in 1999 to help treat ovarian cancer patients .", "Biricodar ( INN , codename VX-170 , marketed as the dicitrate salt under the trade name Incel ) is a pharmaceutical drug released by Vertex Pharmaceuticals in 1...
[ "Aiden McGeady ( born 4 April 1986 ) is an Irish football player .", "Aiden McGeady ( born 4 April 1986 in Glasgow , Scotland ) is a footballer who currently plays as a winger for Russian club Spartak Moscow ." ]
[ "Gland , Aisne is a commune .", "Gland is a commune in the Aisne department in Picardy in northern France ." ]
[ "Armed with this gene , the former II-R strain bacteria were now protected from the host 's immune system and could kill the host .", "Equipped with this gene , the former II-R strain bacteria were now protected from the host 's immune system and could kill the host ." ]
[ "Today , we know that the `` transforming principle '' Griffith saw was the DNA of the III-S strain bacteria .", "Today , we know that the `` transforming principle '' Griffith observed was the DNA of the III-S strain bacteria ." ]
[ "The III-S strain covers itself with a polysaccharide capsule that protects it from the host 's immune system .", "The III-S strain covers itself with a polysaccharide capsule that protects it from the host 's immune system , resulting in the death of the host , while the II-R strain does n't have that protective...
[ "Griffith 's experiment , was an experiment done in 1928 by Frederick Griffith . It was one of the first experiments showing that bacteria can get DNA through a process called transformation .", "Griffith 's experiment , conducted in 1928 by Frederick Griffith , was one of the first experiments suggesting that ba...
[ "While neither harmed the mice on their own , the blend of the two was able to kill mice .", "While neither alone harmed the mice , the combination was able to kill its host ." ]
[ "These bacteria infect mice . He used a type III-S ( smooth ) and type II-R ( rough ) strain .", "Griffith used two strains of pneumococcus ( Streptococcus pneumoniae ) bacteria which infect mice -- a type III-S ( smooth ) and type II-R ( rough ) strain ." ]
[ "He concluded that the type II-R had been `` transformed '' into the lethal III-S strain by a `` transforming principle '' that was somehow part of the dead III-S strain bacteria .", "Griffith concluded that the type II-R had been `` transformed '' into the lethal III-S strain by a `` transforming principle '' th...
[ "The III-S strain DNA contains the genes that form the shielding polysaccharide part from attack .", "The III-S strain DNA contains the genes that form the protective polysaccharide capsule ." ]
[ "Griffith was also able to get both live II-R and live III-S strains of pneumococcus from the blood of these dead mice .", "Griffith was also able to isolate both live II-R and live III-S strains of pneumococcus from the blood of these dead mice ." ]
[ "Marenla is a commune . It is found in the region Nord-Pas-de-Calais in the Pas-de-Calais department in the north of France .", "Marenla is a commune in the Pas-de-Calais department in the Nord-Pas-de-Calais region of France ." ]
[ "Flacco was drafted out of the University of Delaware by the Baltimore Ravens with the 18th pick in the first round of the 2008 NFL Draft .", "Flacco was drafted by the Baltimore Ravens 18th overall in the 2008 NFL Draft , becoming the highest drafted player ever from the University of Delaware ." ]
[ "Joseph Vincent Flacco ( born January 16 , 1985 in Audubon , New Jersey ) is an American Football starting quarterback for the Baltimore Ravens of the National Football League ( NFL ) .", "Joseph Vincent Flacco ( born January 16 , 1985 in New Jersey ) is the starting quarterback for the Baltimore Ravens ." ]
[ "East Hope is a city of Idaho in the United States .", "East Hope is a city in Bonner County , Idaho , United States ." ]
[ "Camps-sur-l ` Isle is a commune . It is found in the region Aquitaine in the Gironde department in the southwest of France .", "Camps-sur-l ` Isle is a commune in the Gironde department in Aquitaine in south-western France ." ]
[ "Gautier is a city along the Gulf of Mexico , west of Pascagoula , in Jackson County , Mississippi , United States .", "Gautier is a city in Jackson County , Mississippi , United States , along the Gulf of Mexico west of Pascagoula ." ]
[ "FrontPage 98 , FrontPage 2000 , FrontPage 2002 & FrontPage 2003 .", "Up to FrontPage 98 , the FrontPage Editor , which was used for designing pages was a separate application from the FrontPage Explorer which was used to manage website folders . With FrontPage 2000 , both programs were merged into the Editor ." ...
[ "It was one of Microsoft Office programs until 2003 .", "It was branded as part of the Microsoft Office suite from 1997 to 2003 ." ]
[ "Microsoft FrontPage is a program made by Microsoft to help people make webpages and full websites .", "Microsoft FrontPage ( full name Microsoft Office FrontPage ) is a WYSIWYG HTML editor and web site administration tool from Microsoft for the Microsoft Windows line of operating systems ." ]
[ "Leo Wilden ( born 3 July , 1936 ) is a former German football player .", "Leo Wilden ( born 3 July 1936 ) is a former German football player ." ]
[ "County Wicklow has an area of 2,024 km ( 781 square miles ) . Wicklow is known as `` The Garden of Ireland '' because of its scenery .", "For general elections , Wicklow forms part of the five seat Wicklow constituency ." ]
[ "Most people think of it as sweet bread , and it sometimes has cinnamon in it .", "It is often classified as a sweet bread and is sometimes combined with cinnamon sugar ." ]
[ "Raisin bread is a type of bread that has raisins in it .", "Raisin bread is a bread that contains raisins ." ]
[ "Sokoto is a city in the northwest of Nigeria , near to where the Sokoto River and Rima River meet . The people in Sokoto are mostly Muslims .", "5 \\* Sokoto State Government Dairy 2002 , Ministry of Information , youth , sports and culture , Sokoto ." ]
[ "Sokoto is a city in the northwest of Nigeria , near to where the Sokoto River and Rima River meet .", "Sokoto is a city located in the extreme northwest of Nigeria , near to the confluence of the Sokoto River and the Rima River ." ]
[ "The people in Sokoto are mostly Muslims .", "In 1976 following the creation of Niger state out of North Western state , Sokoto state emerged with its headquarters . Yet in Sokoto , Kebbi and Zamfara states were carved out of Sokoto , in 1991 and 1996 respectively ." ]
[ "The people in Sokoto are mostly Muslims . Sokoto was the capital city of Gobir from the 10th century .", "Sokoto is the modern day capital of Sokoto State ( and its predecessor , the Northwestern State ) ." ]
[ "Level 0 is a `` below-scale event '' of no safety significance .", "No safety significance ." ]
[ "Harrodsburg is a city of Kentucky in the United States .", "Harrodsburg was the first seat of Kentucky County ." ]
[ "The polyplacophorans may have formed when an aberrant monoplacophoran was born with multiple centres of calcification , rather than the usual one .", "Based on this and co-occurring fossils , one plausible hypothesis for the origin of polyplacophora has that they formed when an aberrant monoplacophoran was born ...
[ "Chitons are primitive marine molluscs in the class Polyplacophora .", "Chitons are small to large , primitive marine molluscs in the class Polyplacophora ." ]
[ "Chitons have a relatively good fossil record , stretching back 400 million years to the Devonian .", "Chitons have a relatively good fossil record , stretching back to the Devonian ." ]
[ "Selection acted on the resultant conical shells to form them to overlap into protective armor . Their original cones are homologous with the tips of the plates of modern chitons .", "Selection quickly acted on the resultant conical shells to form them to overlap into protective armor ; their original cones are h...
[ "Before this , some organisms have been interpreted ( tentatively ) as stem-group polyplacophora ; the record of polyplacophora stretches back to the Upper Cambrian .", "Before this , some organisms have been interpreted ( tentatively ) as stem-group polyplacophora ; the record of polyplacophora stretches back to...
[ "Matthevia is a late Cambrian polyplacophoran preserved as individual pointed valves , and sometimes considered to be a chiton .", "Matthevia is a Late Cambrian polyplacophoran preserved as individual pointed valves , and sometimes considered to be a chiton , although it can at best be a stem-group member of the ...
[ "Harold Clayton Lloyd , Sr. ( April 20 , 1893 -- March 8 1971 ) was a famous American actor and producer .", "Harold Clayton Lloyd , Sr. ( April 20 , 1893 -- March 8 , 1971 ) was an American film actor and producer , most famous for his silent comedies ." ]
[ "Although Lloyd 's movies were not as commercially successful as Charlie Chaplin 's Lloyd made a lot more money than Chaplin during their film years . ( $ 15.7 million to Chaplin 's $ 10.5 million ) .", "Although Lloyd 's individual films were not as commercially successful as Charlie Chaplin 's on average , he w...
[ "Akhrik Tsveiba ( born 10 September 1966 ) is a former Ukrainian-Russian football player .", "Akhrik Sokratovich Tsveiba ( born September 10 , 1966 in Gudauta , Abkhaz ASSR , Georgian SSR ) is a retired Soviet and Russian football player ." ]
[ "Wittes is a commune . It is found in the region Nord-Pas-de-Calais in the Pas-de-Calais department in the north of France .", "Wittes is a commune in the Pas-de-Calais departeent in the Nord-Pas-de-Calais region of France ." ]
[ "About 467 people live there and it has 7,58 km .", "About 467 people live there and it has 7.58 km ." ]
[ "He was looked down on by some as a climate change denier In February 2009 , his widow gave birth to his only , posthumous son , John Michael Todd Crichton .", "John Michael Todd Crichton was born on February 12 , 2009 ." ]
[ "Michael Crichton ( October 23 , 1942 â `` November 4 , 2008 ) was an American author of many books .", "John Michael Crichton was born in Chicago Illinois , , to John Henderson Crichton , a journalist , and Zula Miller Crichton , on October 23 , 1942 ." ]
[ "Crichton is well known for Jurassic Park , a book that became a film series .", "In accordance with the private way in which Crichton lived his life , his battle with throat cancer was not made public until his death . According to Crichton 's brother Douglas , Crichton was diagnosed with lymphoma in early 2008 ...
[ "Levardis Robert Martyn Burton , Jr. ( born February 16 , 1957 ) , commonly known as LeVar Burton , is an American actor .", "Levardis Robert Martyn Burton , Jr. ( born February 16 , 1957 ) professionally known as LeVar Burton , is an American actor , director , producer and author who first came to prominence po...
[ "He is probably best known for his role in the popular television series Star Trek : The Next Generation , and as the host of the PBS show Reading Rainbow .", "He is also well known for his portrayal of Geordi La Forge on the syndicated science fiction series Star Trek : The Next Generation and as the host of the...
[ "He became controller after Jane Root departed in May 2004 to become the executive vice president and general manager of the US-based Discovery Channel . Jane Root was appointed in 1999 and was the first woman to be appointed controller of a BBC television channel .", "Jane Root , who was appointed in 1999 and wa...
[ "Deuillet is a commune . It is found in the region Picardie in the Aisne department in the north of France .", "Deuillet is a commune in the Aisne department in Picardy in northern France ." ]
[ "Fà cents ntà cents nele is a commune found in Suceava County , Romania .", "Fà cents ntà cents nele is a commune located in Suceava County , Romania ." ]
[ "In many cases , economic nationalism is the opposite of globalization , or it questions the use of free trade without restrictions .", "It opposes globalization in many cases , or at least it questions the benefits of unrestricted free trade . Economic nationalism may include such doctrines as protectionism and ...
[ "Economic nationalism is the idea that a state should have control over its economy , labor and how capital is formed .", "Economic nationalism is a term used to describe policies which emphasize domestic control of the economy , labor and capital formation , even if this requires the imposition of tariffs and ot...
[ "The Magna Carta led to the constitutional rule of today .", "Magna Carta is often a symbol for the first time the citizens of England were granted rights against an absolute king . However , in practice the Commons could not enforce Magna Carta in the few situations where it applied to them , so its reach was li...
[ "Only three of the original clauses in Magna Carta are still law today .", "Whilst radicals such as Sir Francis Burdett believed that Magna Carta could not be repealed , the 19th century would see the beginning of the repeal of many of the clauses of Magna Carta . The clauses were either obsolete and\\/or had bee...
[ "Love Story is a song by Country music artist Taylor Swift .", "`` Love Story '' is a country pop song performed by American singer-songwriter Taylor Swift ." ]
[ "Repentance is an act recognized in Judaism , Christianity , and Islam .", "Repentance is an act recognized in Judaism , Christianity , Islam , and other religions ." ]
[ "The Circle Jerks are a legendary punk rock band from California .", "The Circle Jerks are an American hardcore punk band , formed in late 1978 in Hermosa Beach , California ." ]
[ "The band was formed in 1979 by Black Flag 's original singer , Keith Morris , and future Bad Religion guitarist Greg Hetson .", "It was formed by Black Flag 's original singer , Keith Morris , and future Bad Religion guitarist Greg Hetson ." ]
[ "They were one of the preeminent hardcore punk bands of the L.A. scene in the early 1980s .", "They were among the preeminent hardcore punk bands of the L.A. scene in the late 1970s ." ]
[ "Saint Paul is the capital city of the U.S. state of Minnesota .", "Saint Paul ( , abbreviated St. Paul ) is the capital and second-most populous city of the U.S. state of Minnesota ." ]
[ "It is located across the Mississippi River from Minneapolis .", "The city lies mostly on the north bank of the Mississippi River , downstream of the river 's confluence with the Minnesota River , and adjoins Minneapolis , the state 's largest city ." ]
[ "Luigi is a video game character . He is Mario 's brother .", "The Mario & Luigi series features Luigi as a main protagonist ; the events of the game focus on him and his brother Mario ." ]
[ "It is said that Luigi is taller , but Mario is older .", "He has appeared in all three Mario & Luigi games , Mario & Luigi : Superstar Saga , Mario & Luigi : Partners in Time , and Mario & Luigi : Bowser 's Inside Story ." ]
[ "WYSIWYG ( or \\/ Ë wÉ zÉ wÉ g \\/ ) , is an acronym for What You See Is What You Get , used in computing to describe a system where things you type when you are editing appear almost the same to the final output , which might be a printed document , a web page , a PowerPoint presentation or even the lighting for a...
[ "Ian Richard Kyle Paisley , Baron Bannside ( born 6 April 1926 in Armagh , Northern Ireland ) is a politician and church minister in Northern Ireland .", "Ian Richard Kyle Paisley , Baron Bannside , PC ( born 6 April 1926 ) is a politician and church minister in Northern Ireland ." ]
[ "Beussent is a commune . It is found in the region Nord-Pas-de-Calais in the Pas-de-Calais department in the north of France .", "Beussent is a commune in the Pas-de-Calais department in the Nord-Pas-de-Calais region of France ." ]
[ "Eusà bio ( born 25 January 1942 ) is a former Portuguese football player . He has played for Portugal national team .", "Despite being retired , Eusà bio is a constant presence among the Portuguese national team ." ]
[ "James Patrick Caviezel , Jr. ( ; born September 26 , 1968 ) is an American movie actor . He is sometimes called Jim Caviezel .", "James Patrick Caviezel , Jr. ( ; born September 26 , 1968 ) is an American film actor , sometimes credited as Jim Caviezel ." ]
[ "They are called Variola major and Variola minor . Some people also call smallpox Variola , named after the viruses ' scientific name .", "The two classic varieties of smallpox are variola major and variola minor ." ]
[ "Even in 1967 , about 15 million people caught the disease , and about two million people died of it , according to the World Health Organization ( WHO ) .", "As recently as 1967 , the World Health Organization ( WHO ) estimated that 15 million people contracted the disease and that two million died in that year ...
[ "They are called Variola major and Variola minor .", "By the mid-20th century variola minor occurred along with variola major , in varying proportions , in many parts of Africa ." ]
[ "During the first half of the 20th century , between 300 million and 500 million people died of this disease .", "Smallpox was responsible for an estimated 300 â `` 500 million deaths during the 20th century ." ]
[ "The 2009 European Parliament Election was held in all 27 countries that are part of the European Union on June 4 , 2009 .", "The European Parliament election was the United Kingdom 's component of the 2009 European Parliament election , the voting for which was held on Thursday 4 June 2009 , coinciding with the ...
[ "Bailly-le-Franc is a commune of the Aube dà partement in the north-central part of France .", "Bailly-le-Franc is a commune in the Aube department in north-central France ." ]
[ "The American Fork River , in Utah , leaves the Wasatch Mountains out of American Fork Canyon about 35 miles southeast of Salt Lake City .", "The American Fork , in Utah , flows out of American Fork Canyon in the Wasatch Mountains about 35 miles southeast of Salt Lake City ." ]
[ "Leaving the canyon , the river runs through northern Utah County and empties into Utah Lake on the north shore .", "Exiting the canyon , the river runs through northern Utah County and empties into Utah Lake on the north shore ." ]
[ "On the way it goes through the Uinta National Forest and Timpanogos Cave National Monument .", "On the way it passes through the Uinta National Forest and Timpanogos Cave National Monument ." ]
[ "The river starts on Mount Timpanogos and the river runs down through American Fork Canyon .", "The headwaters are located on Mount Timpanogos and the river continues down through American Fork Canyon ." ]
[ "`` Baba O'Riley '' is a song by the English rock band The Who , written by Pete Townshend .", "`` Baba O'Riley '' is a song written by Pete Townshend for the English rock band The Who ." ]
[ "The title of the song is comes from this combination of the song 's philosophical and musical influences : Meher Baba and Terry Riley .", "The title of the song is derived from this combination of the song 's philosophical and musical influences : Meher Baba and Terry Riley ." ]