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These views and his intervention in ` temporal ' affairs led to many bitter quarrels with the Emperor Albert I of Hapsburg ( 1291 â `` 98 ) , the powerful family of the Colonnas and with Philip IV of France ( 1285 â `` 1314 ) .
[ "These views and his intervention in `` temporal '' affairs led to many bitter quarrels with the Emperor Albert I of Habsburg ( 1291 â `` 1298 ) , the powerful family of the Colonnas , with Philip IV of France ( 1285 â `` 1314 ) and with Dante Alighieri ( who wrote De Monarchia to argue against it ) ." ]
[ "It was only Leonard of Keutschach ( reigned 1495 â `` 1519 ) who reversed the situation ." ]
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There is a legend that it was Boniface VIII 's doing that Celestine V renounced the papacy - for Boniface , previously Benedetto , convinced Celestine V that no person on the earth could go through life without sin .
[ "There is a legend that it was Benedetto Gaetani 's doing that Celestine V renounced the papacyâ '' convincing Celestine V that no person on the earth could go through life without sin ." ]
[ "But when he had time to reconsider his position , he inevitably saw that his chances of winning a war against Constantine was doubtful at best , especially given that he was well aware of Constantineâ s strengths as Constantine had been his guest for some time at Nicomedia , not to mention the attachment of the tr...
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He was elected in 1294 after Pope Celestine V abdicated .
[ "Pope Celestine V abdicated on December 13 , 1294 , at Naples , where he had established the papal court under the patronage of King Charles II of Sicily ." ]
[ "There is a legend that it was Benedetto Gaetani 's doing that Celestine V renounced the papacyâ '' convincing Celestine V that no person on the earth could go through life without sin ." ]
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Boniface VIII put forward some of the strongest claims to temporal , as well as spiritual , supremacy of any Pope and constantly involved himself with foreign affairs .
[ "Boniface VIII put forward some of the strongest claims to temporal , as well as spiritual , power of any Pope and constantly involved himself with foreign affairs ." ]
[ "The question who should invest ( or more to the point , appoint ) whom was the subject of an epic conflict between the Catholic Church ( mainly papacy ) and state ( mainly the Holy Roman Empire ) in the Middle Ages during the so-called Investiture Controversy ." ]
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Pope Boniface VIII ( c. 1235 â `` October 11 , 1303 ) , born Benedetto Caetani , was Pope of the Roman Catholic Church from 1294 to 1303 .
[ "Pope Boniface VIII ( c. 1235 â `` October 11 , 1303 ) , born Benedetto Gaetani , was Pope of the Catholic Church from 1294 to 1303 ." ]
[ "Rudolph ( also Radulf , Ralph , or Raoul ) ( c. 890 â `` 14\\/15 January 936 ) was the Duke of Burgundy between 921 and 923 and King of Western Francia from thereafter to his death ." ]
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Steve Finnan ( born 24 April 1976 ) is an Irish football player .
[ "Stephen John `` Steve '' Finnan ( born 24 April 1976 in Limerick , Ireland ) is an unattached Irish international footballer who plays as a right back ." ]
[ "Robert Earnshaw ( born on 6 April 1981 ) is a Wales international football player ." ]
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The oldest shaped bricks found date back to 7,500 B.C. . They have been found in à ayà nà 1\/4 , a place located in the upper Tigris area in south east Anatolia close to Diyarbakir .
[ "The oldest discovered bricks , originally made from shaped mud and dating to before 7500 B.C. were found at Tell Aswad then later in the upper Tigris region and in southeast Anatolia close to Diyarbakir ." ]
[ "Harran is a village and district of Å anlÄ urfa Province in the Kurdish southeast of Turkey , 24 miles ( 44 kilometers ) southeast of the city of Å anlÄ urfa and near the Syrian border ." ]
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Newer bricks , dated between 7,000 and 6,395 B.C. , come from Jericho and Catal Hà 1\/4 yà 1\/4 k. The inven tion of the fired brick ( as opposed to the consid erably earlier sun-dried mud brick ) is believed to have arisen in about the third millennium BC in the Middle East .
[ "Other more recent findings , dated between 7,000 and 6,395 B.C. , come from Jericho and Catal Hà 1\\/4 yà 1\\/4 k. The first sun-dried bricks were made in Mesopotamia ( what is now Iraq ) , in the ancient city of Ur in about 4000 BC , although the arch used for drying the bricks was not actually found ." ]
[ "At its height c 2900 BC , Uruk probably had 50,000 â `` 80,000 residents living in 6 km2 of walled area ; making it the largest city in the world at the time ." ]
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Atlantic Canada , also known as the Atlantic provinces , is the region of Canada which is made up of four provinces located on the Atlantic coast : the three Maritime provinces â `` New Brunswick , Nova Scotia , and Prince Edward Island â `` and Newfoundland and Labrador .
[ "Atlantic Canada is the region of Canada comprising the four provinces located on the Atlantic coast , excluding Quebec : the three Maritime provinces â `` New Brunswick , Prince Edward Island , and Nova Scotia â `` and Newfoundland and Labrador ." ]
[ "The Burin Peninsula is a Canadian peninsula located on the south coast of the island of Newfoundland in the province of Newfoundland and Labrador ." ]
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Malcolm ` Mal ' Evans ( 27 May 1935 â `` 5 January 1976 ) was a road manager and assistant to The Beatles , the most popular rock and roll band of the 1960s .
[ "Malcolm Frederick ` Mal ' Evans ( 27 May 1935 â `` 5 January 1976 ) was best known as the road manager , assistant , and a friend of The Beatles : John Lennon , Paul McCartney , George Harrison , and Ringo Starr ." ]
[ "John Henry Bonham ( 31 May 1948 â `` 25 September 1980 ) was a British musician and songwriter , best known as the drummer of Led Zeppelin ." ]
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Nils Malmros ( born October 5 , 1944 in Ã
[ "Nils Sigurd Malmros was born on October 5 , 1944 in Ã" ]
[ "ge Fjà rtoft ( born 10 January 1967 in Ã" ]
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rhus ) is a Danish film director .
[ "rhus , Denmark ." ]
[ "He collaborated on Phillip 's book and provided the first descriptions of and names for many Australian bird species ; its name is Latin for `` fast-footed New Hollander '' ." ]
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Blake was included in group expositions at the Institute of Contemporary and had his first solo exposition in 1960 .
[ "Blake was included in group exhibitions at the Institute of Contemporary Arts and had his first solo exhibition in 1960 ." ]
[ "Michael established a relationship with Anselmo Feleppa , whom he had met at the 1991 concert Rock in Rio ." ]
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He lives in Chiswick , London , United Kingdom
[ "He lives in Chiswick , London , UK ." ]
[ "She lives in Salt Lake City , Utah ." ]
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Sir Peter Thomas Blake , CBE ( born 25 June 1932 in Dartford , Kent ) is an English pop artist , best known for his design of the sleeve for The Beatles ' album Sgt. Pepper 's Lonely Hearts Club Band .
[ "Sir Peter Thomas Blake , CBE , RDI , ( born 25 June 1932 , in Dartford , Kent ) is an English pop artist , best known for his design of the sleeve for the Beatles ' album Sgt. Pepper 's Lonely Hearts Club Band ." ]
[ "It is the third biggest-selling album in UK chart history ( with 4.4 million copies sold ) , behind Queen 's Greatest Hits and The Beatles ' Sgt. Pepper 's Lonely Hearts Club Band respectively ." ]
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During the late 1950s , Blake became one of the best know British pop artists .
[ "During the late 1950s , Blake became one of the best known British pop artists ." ]
[ "In the late 1960s , Brown turned her attention to politics ." ]
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It was the ` Young Contemporaries ` exposition of 1961 where he was displayed next to David Hockney and R.b Kitaj that he was first identified with the young British Pop Art movement .
[ "It was with the ` Young Contemporaries ' exhibition of 1961 where he was exhibited alongside David Hockney and R.B. Kitaj that he was first identified with the emerging British Pop Art movement ." ]
[ "Minimalism was the result , even though the term `` minimalism '' was not generally embraced by the artists associated with it , and many practitioners of art designated minimalist by critics did not identify it as a movement as such ." ]
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Blake won the John Moores junior award ( 1961 ) for his work Selfe Portrait with Badges .
[ "Blake won the ( 1961 ) John Moores junior award for his work Self Portrait with Badges ." ]
[ "Carr was awarded the Governor-General 's Award for non-fiction the following year for Klee Wyck ." ]
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Final Fantasy is a fantasy role-playing video game .
[ "It is the first game in Square 's Final Fantasy series . Originally released for the Nintendo Entertainment System , Final Fantasy was remade for several video game consoles and is frequently packaged with Final Fantasy II in video game collections ." ]
[ "Kingdom Hearts II is the third game in the Kingdom Hearts series ." ]
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The British Rail Class 416 ( or 2EPB ) electric multiple units were built between 1953 and 1956 .
[ "British Rail Class 416 ( 2EPB ) electric multiple units were built between 1953 and 1956 ." ]
[ "The final batch was built in 1988 , although multiple-unit designs based on the Mark 3 bodyshell continued to be built into the early 1990s ." ]
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Croisilles , Pas-de-Calais is a commune . It is found in the region Nord-Pas-de-Calais in the Pas-de-Calais department in the north of France .
[ "Croisilles is a village and commune in the Pas-de-Calais department of the Nord-Pas-de-Calais region of France ." ]
[ "Vitry-en-Artois is a commune and in the Pas-de-Calais department in the Nord-Pas-de-Calais region of France ." ]
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Cobalt ( II ) chloride is one of the most common cobalt compounds .
[ "is +1.92 V , beyond that for chlorine to chloride , +1.36 V. As a consequence cobalt ( III ) and chloride would result in the cobalt ( III ) being reduced to cobalt ( II ) . Since the reduction potential for fluorine to fluoride is so high , +2.87 V , cobalt ( III ) fluoride is one of the few simple stable cobalt ...
[ "Bismuth ( III ) oxide is perhaps the most industrially important compound of bismuth ." ]
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This spider is yellowish-brown with many dark spots on the rear half , in no order .
[ "The colouration is yellowish-brown with several irregularly distributed dark spots on the rear half ." ]
[ "The Statira Sulphur has a more yellowish upper side and the underside of the wings is pale greenish to white with females having light pinkish markings ." ]
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The giant huntsman spider ( ' , from ' , meaning â the largestâ ) is a spider of the Heteropoda genus . It is found in Laos , where it was discovered in 2001 .
[ "The giant huntsman spider was discovered in northern Laos in 2001 ." ]
[ "Bengal monitor ( Varanus bengalensis ) or Common Indian Monitor , is a monitor lizard found widely distributed over South Asia ." ]
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It is the largest member of the Sparassidae , with a 30 centimeter ( 12 inches ) leg-span , and 4.6 centimeter body-length .
[ "The giant huntsman spider is the largest member of the Sparassidae , boasting a 30 centimeter ( 12 inch ) leg-span , and 4.6 centimeter body-length ." ]
[ "Males grow up to a body length of 3 m long and weigh up to 135 k. Females reach a body length of up to 1.1 m long and weigh up to 35 k. Tails can be from 0.9 t long . The average Red Kangaroo stands approximately 1.5 m tall ." ]
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Like all huntsman spiders , the legs of the giant huntsman spider are long compared to the body , and twist forward in a crab-like way .
[ "Like all huntsman spiders , the legs of the giant huntsman spider are long compared to the body , and twist forward in a crab-like fashion ." ]
[ "Ant-mimicking spiders face several challenges : they generally develop slimmer abdomens and false `` waists '' in the cephalothorax to mimic the three distinct regions ( tagmata ) of an ant 's body ; they wave the first pair of legs in form to their heads to mimic antennae , which spiders lack , and to conceal the...
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Bishan also has its MRT station called Bishan station .
[ "In addition , it has its own Mass Rapid Transit station , the Bishan MRT Station , on the North South Line and Circle Line ." ]
[ "When the Woodlands Extension was opened in 1996 , the Branch MRT Line consisting of the route from Jurong East MRT Station to Choa Chu Kang MRT Station was integrated into the main line ." ]
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Bishan also has the Ministry of Education Language Center ( MOELC ) .
[ "Ministry of Education Language Centre ( MOELC ) is also located in Bishan , the other campus being located in Ghim Moh ." ]
[ "It houses the ORA ( Old Rafflesians ' Association ) Office and Heritage Centre ." ]
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Bishan has three shopping centers .
[ "Bishan currently has 3 shopping centres ." ]
[ "Since then , the number and types of shops have increased at certain stations , turning them into miniature shopping centres ." ]
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There are 4 primary schools , 7 secondary schools and one post-secondary technical education institute . The most famous school in Bishan is Raffles Institution , which is a secondary school and junior college .
[ "Currently , Bishan contains four primary schools , seven secondary schools , one junior college and a post-secondary technical education institution that are part of Singapore 's education system ." ]
[ "Nanyang Technological University ( Abbreviation : NTU ) is one of the two largest public universities in Singapore with the biggest campus in the country and the world 's largest engineering college ." ]
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Bishan is next to the Central Expressway ( CTE ) .
[ "Bishan is connected to the rest of Singapore via the Central Expressway ." ]
[ "As the name implies , the line connects central Singapore to both western and eastern parts of the island , with an additional branch to Changi Airport from Tanah Merah ." ]
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A lot of people live in Bishan . Houses in Bishan are expensive , because Bishan is near the city and you can easily go to Bishan .
[ "Bishan Park 1 is more accessible than Bishan Park 2 ." ]
[ "These three stations are important hubs for commuters , locals , students and tourists who travel to the Orchard Road shopping and business district ." ]
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The Pour le MÃ rite , was an medal during World War I and is also known as the Blue Max . It was the Kingdom of Prussia 's highest military order until the end of World War I.
[ "The Pour le MÃ rite , known informally as the Blue Max , was the Kingdom of Prussia 's highest military order for German soldiers until the end of World War I." ]
[ "The German Cross was issued in two degrees : gold and silver ( the color of the laurel wreath around the swastika ) , the former being an award for bravery , the latter being for distinguished service and was considered a continuation of the War Merit Cross with swords ." ]
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Aswan is one of the driest places in the world where people actually live ; as of early 2001 , the last rain there was 6 years earlier .
[ "Aswan is one of the driest inhabited places in the world ; as of early 2001 , the last rain there was seven years earlier ." ]
[ "Ashton 's climate is unique and is distinct . Ashton 's annual precipitation , at 20 inches , is among the highest in southern Idaho and yet Ashton is not in the mountains ." ]
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In Nubian settlements , the people often do not put a roof over all of the rooms in their houses .
[ "In Nubian settlements , they generally do not bother to roof all of the rooms in their houses ." ]
[ "In addition to having a large central dome , a common feature is smaller domes that exist off-center over the prayer hall or throughout the rest of the mosque , where prayer is not performed ." ]
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As of October 13 , 2007 , the last rainfall was a thunderstorm on May 13 , 2006 .
[ "As of 2007 , the last rainfall was a thunderstorm on May 13 , 2006 ." ]
[ "The combination of moisture from Cristobal and a cold front produced 2.78 inches ( 71 mm ) in a 24 hour period ." ]
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Monaco-Ville is the original fortified town of Monaco .
[ "Monaco-Ville is the original fortified town of Monaco and is one of Monaco 's administrative areas , sometimes erroneously believed to be a town or the country 's capital , just as Monte Carlo ." ]
[ "Medieval Mulhouse consists essentially of a lower and an upper town ." ]
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Andrew Vowles left shortly after the release of Mezzanine , and Grant Marshall did not want to be in the making of the record .
[ "Andrew Vowles departed shortly after the release of Mezzanine , and Grant Marshall refused to participate in the making of the record ." ]
[ "The album was recorded between October and December 1992 at Grand Master Studios , Hollywood , California , by Sylvia Massy . Some of the songs featured on the album are songs that the band decided to not release on their first EP Opiate ." ]
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Of the band 's original core people , the album only features Robert Del Naja .
[ "Of the band 's original core trio , the album only features Robert Del Naja ." ]
[ "It features two new songs from Phil Collins and takes place during the song `` Son of Man '' from the first film ." ]
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Released in February 2003 , 100th Window was written and produced by Del Naja and Neil Davidge , and features vocals from Horace Andy and Sinà ad O'Connor , as well as one appearance by Damon Albarn .
[ "Released in February 2003 , 100th Window was written and produced by Del Naja and Neil Davidge , and features vocals from Horace Andy and Sinà ad O'Connor , as well as an imperceptible appearance by Damon Albarn ." ]
[ "The record features the singing of Horace Andy plus invited vocalists : Tunde Adebimpe of TV On The Radio , Damon Albarn of Blur and Gorillaz , Hope Sandoval of Hope Sandoval And The Warm Inventions and Mazzy Star , Guy Garvey of Elbow and Martina Topley-Bird , as well as guitar playing by Adrian Utley of Portishe...
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Qi Yuwu ( Chinese : æ ç æ ; pinyin : QÄ `` YÃ wÇ '' ; born November 28 , 1976 ) is a television and movie actor . Qi was born in Guangzhou , China .
[ "Qi Yuwu ( born 28 November 1976 ) is a China-born Singapore film and television actor ." ]
[ "Hu Jintao ( Pinyin : HÃ JÇ ntÄ o , pronounced ; born 21 December 1942 , in Taizhou , Jiangsu ) is the current Paramount Leader of the People 's Republic of China ." ]
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Before signing to MediaCorp Studios , he was a model . He had also played the lead part in a Guangzhou television serial .
[ "Previously , Qi worked as a model and played the lead role in a Guangzhou TV series , before signing on a contract with Singapore 's MediaCorp Studios ." ]
[ "Jackie Chan Hiu-ki a.k.a. Kellyjackie is a Hong Kong amateur pop singer and a member of a band called the Royals ." ]
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He was the winner the China Round of Asian Star Search 1999 , Singapore 's regional talent search contest . He also won `` Mr. Personality '' .
[ "He won the title of Champion and Mr Personality in the China Round of Asian Star Search in 1999 ." ]
[ "On August 23 , 2008 , they attended MNet 's 20 's Choice Awards 2008 , where they won the `` Hot New Star '' award ." ]
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Qi was a Physical Education major graduate .
[ "Qi graduated with a major in physical education ." ]
[ "In 1951 , he went to Amherst College for his undergraduate education ." ]
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It was found by Matthew J. Holman , John J. Kavelaars , Dan Milisavljevic , and Brett J. Gladman on August 13 , 2001 and given the designation S\/2001 U 2 .
[ "It was discovered by Matthew J. Holman , John J. Kavelaars , Dan Milisavljevic , and Brett J. Gladman on August 13 , 2001 , and given the provisional designation S\\/2001 U 2 ." ]
[ "28978 Ixion is a Kuiper belt object discovered on May 22 , 2001 ." ]
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The diagram illustrates the orbital parameters of the retrograde non-spherical moons of Uranus ( in polar co-ordinates ) with the eccentricity of the orbits represented by the segments extending from the pericentre to the apocentre .
[ "The diagram illustrates the orbital parameters of the retrograde irregular satellites of Uranus ( in polar co-ordinates ) with the eccentricity of the orbits represented by the segments extending from the pericentre to the apocentre ." ]
[ "Another difference is that Interamnia 's perihelion is located on the opposite side from the perihelia of the `` big four '' , so that Interamnia at perihelion is actually closer to the Sun than Ceres and Pallas are at the same longitude ." ]
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Ferdinand is the farthest known moon of Uranus .
[ "Ferdinand is the most distant known satellite of Uranus ." ]
[ "Bianca is an inner satellite of Uranus ." ]
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It follows a retrograde , fairly inclined but very eccentric orbit .
[ "It follows a retrograde , modestly inclined but highly eccentric orbit ." ]
[ "Hektor is , so far , the only known binary trojan asteroid in the point and the first trojan with a satellite companion ." ]
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Designated Uranus XXIV it was named after the son of the King of Naples in William Shakespeare 's play The Tempest .
[ "Designated Uranus XXIV , it was named after the son of the King of Naples in William Shakespeare 's play The Tempest ." ]
[ "The title of the novel refers to the person of Miranda from Shakespeare 's play called The Tempest ." ]
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It was finally refound on September 24 , 2003 by Scott S. Sheppard on images taken by David C. Jewitt and himself on August 29-30 and September 20 of that year .
[ "It was finally recovered on September 24 , 2003 , by Scott S. Sheppard on images obtained by David C. Jewitt and himself on August 29-30 and September 20 of that year ." ]
[ "Hygiea was discovered by Annibale de Gasparis on April 12 , 1849 , in Naples , Italy ." ]
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Oberentfelden is a municipality of the district of Aarau of the canton of Aargau in Switzerland .
[ "Oberentfelden is a municipality in the district of Aarau of the canton of Aargau in Switzerland ." ]
[ "Hirschthal is a municipality in the district of Aarau of the canton of Aargau in Switzerland ." ]
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This category is for video games made by Intelligent Systems , a part of Nintendo .
[ "Video games developed by Japanese studio Intelligent Systems , a division of Nintendo ." ]
[ "Kirby : Squeak Squad , known in Europe as Kirby : Mouse Attack and in Japan as Kirby of the Stars : Calling on the Dorotche Gang , is a 2006-07 platforming video game developed by Flagship and Natsume ( the latter as seen in the end credits ) and published by Nintendo and HAL Laboratory for the Nintendo DS handhel...
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Oleksandr Shovkovskiy ( born 2 January 1975 ) is an Ukrainian football player .
[ "Oleksandr Volodymyrovych Shovkovskiy ( born 2 January 1975 in Kiev ) is a Ukrainian professional football goalkeeper ." ]
[ "Amar Osim ( born July 18 , 1967 ) is a former Bosnian football player and now a manager ." ]
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A fraud can also mean somebody who does such tricks . Fraudulent is the word used to describe something that is fraud , or is causing fraud .
[ "The Action Fraud website also has an A-Z of fraud describing different types of fraud , and offers prevention advice ." ]
[ "In the latter sense , the intention is often to insult or accuse someone in such a way that one 's words , taken literally , are innocent ." ]
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Fraudulent is the word used to describe something that is fraud , or is causing fraud .
[ "Action Fraud is the UK 's national fraud reporting service , run by the National Fraud Authority . Action Fraud is the place to go to get information and advice about fraud , as well as to report fraud ." ]
[ "The term identity theft was coined in 1964 and is actually a misnomer , since it is not literally possible to steal an identity as such - more accurate terms would be identity fraud or impersonation or identity cloning but identity theft has become commonplace . `` Determining the link between data breaches and id...
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Unwritten is an album by Natasha Bedingfield .
[ "Unwritten is the debut album released by pop singer Natasha Bedingfield ." ]
[ "`` Love Like This '' is a pop\\/R & B song performed by Natasha Bedingfield featuring Sean Kingston ." ]
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This album was released in North America again during 2006 , with new album artworks and a slightly different track listing .
[ "In 2006 , the album was re-released in North America with new album artwork and a slightly altered track listing ." ]
[ "Still Life was the first album recorded with Mendez , and also the first Opeth album to bear any kind of caption on the front cover upon its initial release , including the band 's logo ." ]
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San Salvador Island , also known as Watling Island , is an island in the Bahamas , that is said to have been found by Christopher Columbus during his first trip to the New World .
[ "San Salvador Island , also known as Watling Island , is an island and district of the Bahamas ." ]
[ "During that time , Juan Ponce de Leà n , who discovered Florida , Vasco Nà à ez de Balboa , who discovered the Pacific Ocean ( he called it the `` South Sea '' below Panama ) , and Ferdinand Magellan , who first sailed that ocean to the Orient , profoundly influenced de Soto 's ambitions ." ]
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It reverted to its original name in 1992 to better reflect the name of the area which it serves . It is located close to Edmonton Green shopping center .
[ "The original name was re-adopted in 1992 as being more indicative of the area served and to promote the nearby Edmonton Green shopping center ." ]
[ "Forbes High School , a public school , is located to the north of town ." ]
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Edmonton Green railway station is in the London Borough of Enfield in north east London , and is in Travelcard Zone 4 . It is on the Seven Sisters branch of the Lea Valley Lines .
[ "Edmonton Green railway station is a station in the London Borough of Enfield in north east London on the White hart lane branch of the Lea Valley Lines ." ]
[ "The entrance hall of Stamford Hill railway station on Amhurst Park lies within the London Borough of Hackney , but the platform area lies within Tottenham in the London Borough of Haringey in north east London , and is in Travelcard Zone 3 , on the White hart lane branch of the Lea Valley Lines ." ]
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The station was opened as Edmonton Green on July 22 1872 and was renamed to Lower Edmonton on July 1 1883 .
[ "The station was opened near the now closed Lower Edmonton ( low level ) railway station as `` Edmonton Green '' on July 22 , 1872 by the Great Eastern Railway ( GER ) on its new more direct line from central London . It was renamed `` Lower Edmonton '' on July 1 , 1883 ." ]
[ "The Post Office opened 1 February 1856 although known as Cathcart until 31 August 1857 ." ]
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The station , and all trains serving it , is operated by National Express East Anglia .
[ "The station and all trains serving it are operated by National Express East Anglia ." ]
[ "The design was successful and led to the development of the similar Class 320 and Class 322 units for use by Strathclyde PTE and Stansted Express ( now used by First ScotRail ) respectively ." ]
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In 1701 the Holy Roman Emperor and Polish King allowed Brandenburg-Prussia to have the name `` Kingdom of Prussia '' under Frederick I. Under Frederick II ( `` the Great '' ) , Prussia took Silesia from Austria and kept it in the Silesian Wars .
[ "On 18 January 1701 , Frederick William 's son , Elector Frederick III , upgraded Prussia from a duchy to a kingdom and crowned himself King Frederick I. To avoid offending Poland , where a part of the old Prussia lay , Leopold I , emperor of the Holy Roman Empire where most of the lands of Prussia lay , allowed Fr...
[ "The three sons of John Frederick I shared the territory , with John Frederick II becoming head ( and briefly , 1554-56 , holding the electoral title ) with his seats in Eisenach and Coburg , the middle brother John William staying in Weimar ( Saxe-Weimar ) , and the youngest , John Frederick III ( namesake of the ...
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Poland took everything east of the Oder-Neisse line , e.g. Silesia , Pomerania , eastern Brandenburg and East Prussia . The Soviet Union took the northern third of East Prussia , including KÃ nigsberg , now Kaliningrad .
[ "With the end of Nazi rule in 1945 came the division of Germany into Zones of Occupation , and the transfer of control of everything east of the Oder-Neisse line , ( including Silesia , Farther Pomerania , Eastern Brandenburg , and southern East Prussia ) , to Poland , with the northern third of East Prussia , incl...
[ "It is opposite the Polish town of Zgorzelec , which was a part of GÃ rlitz until 1945 . Historically , GÃ rlitz was in the region of Upper Lusatia , however in 1815 , some parts of Lusatia were integrated into the Province of Silesia , and later into the Province of Lower Silesia ." ]
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In 1618 the new Duke of Prussia was the Elector John Sigismund of Brandenburg .
[ "Brandenburg and Prussia were unified two generations later . Anna , granddaughter of Albert I and daughter of Duke Albert Frederick ( reigned 1568 â `` 1618 ) , married her cousin Elector John Sigismund of Brandenburg ." ]
[ "John Casimir ( d 1633 heirless ) , the older son of John Frederick II , and John Ernest ( d 1638 heirless ) , the younger son of John Frederick II , received together the territory of Saxe-Coburg-Eisenach , but got a legal guardian because they were underage ." ]
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Nedum Onuoha ( born 12 November 1986 ) is an English football player .
[ "Chinedum `` Nedum '' Onuoha ( born 12 November 1986 in Warri , Nigeria ) is an English footballer of Nigerian descent ." ]
[ "Aaron William Hughes ( born 8 November 1979 ) is a Northern Irish footballer who plays for Fulham ." ]
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He plays for Manchester City .
[ "He currently plays for Sunderland on loan from Manchester City ." ]
[ "Gonzà lez currently plays for CSKA Moscow ." ]
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Akihabara is a district of Tokyo , famous for electrical items and anime .
[ "Akihabara , also known as Akihabara Electric Town , is an area of Tokyo , Japan ." ]
[ "Since then , the number and types of shops have increased at certain stations , turning them into miniature shopping centres ." ]
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So we know for the outcome of the products that A = B. Take any prime p from the first product A. It divides the A , so it also divides B. Using several times the lemma that we just proved , we can see that p must then divide at least one factor b of B. But the factors are all primes themselves , so also b is prime .
[ "Some proofs use the fact that if a prime number p divides the product of two natural numbers a and b , then p divides either a or b , a statement known as Euclid 's lemma ." ]
[ "The cototient of n is defined as , in other words the number of positive integers less than or equal to n that are not coprime to n." ]
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Further , it can not be a prime number , because a prime number is a ` product ' of a single prime : itself .
[ "It can not be a prime number either , since any prime number is a product of a single prime , itself ." ]
[ "By definition , a perfect number is a fixed point of the restricted divisor function s ( n ) = Ï ( n ) â ' n , and the aliquot sequence associated with a perfect number is a constant sequence ." ]
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Further , it can not be a prime number , because a prime number is a ` product ' of a single prime : itself . So it must be a product of numbers .
[ "By convention , the number 1 is not itself prime , but since it is the product of no numbers , it is often convenient to include it in the theorem by the empty product rule ." ]
[ "A two is a common factor in both the numerator of the left fraction and the denominator of the right so is divided out of both ." ]
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The Fundamental theorem of arithmethic ( also called the unique factorization theorem ) is a theorem of number theory . The theorem says that every positive integer greater than 1 can be written as a product of prime numbers ( or the integer is itself a prime number ) .
[ "In number theory , the fundamental theorem of arithmetic ( or the unique-prime-factorization theorem ) states that any integer greater than 1 can be written as a unique product ( up to ordering of the factors ) of prime numbers ." ]
[ "The cototient of n is defined as , in other words the number of positive integers less than or equal to n that are not coprime to n." ]
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The Fundamental theorem of arithmethic ( also called the unique factorization theorem ) is a theorem of number theory .
[ "A ring in which the Fundamental Theorem of Arithmetic holds is called a unique factorization domain ." ]
[ "In this case , if a proof uses this statement , researchers will often look for a new proof that does n't require the hypothesis ( in the same way that it is desirable that statements in Euclidean geometry be proved using only the axioms of neutral geometry , i.e. no parallel postulate . ) The one major exception ...
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The theorem says that every positive integer greater than 1 can be written as a product of prime numbers ( or the integer is itself a prime number ) .
[ "Thus Theorem 1 of takes the form , `` Every positive integer , except 1 , is a product of one or more primes , '' and Theorem 2 ( their `` Fundamental '' ) asserts uniqueness . By convention , the number 1 is not itself prime , but since it is the product of no numbers , it is often convenient to include it in the...
[ "Two is the base of the simplest numeral system in which natural numbers can be written concisely , being the length of the number a logarithm of the value of the number ( whereas in base 1 the length of the number is the value of the number itself ) ; the binary system is used in computers ." ]
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One of these numbers must be the smallest : let 's call it n. Of course , this number n can not be 1 .
[ "Then there must be a smallest such number ( see well-order ) : let it be n. This number n can not be 1 , because of the empty-product convention above ." ]
[ "because both numbers , when divided by 12 , have the same remainder ( 2 ) ." ]
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This was first mentioned by Ernst Kummer in 1843 , in his work on Fermat 's last theorem .
[ "This was first pointed out by Ernst Kummer in 1843 , in his work on Fermat 's Last Theorem ." ]
[ "Hermann Weyl 's interest in intuitionistic logic and impredicativity appears to have resulted from his reading of Husserl ." ]
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However , the theorem is not true in more general number systems , like algebraic integers .
[ "Although at first sight the theorem seems ` obvious ' , it does not hold in more general number systems , including many rings of algebraic integers ." ]
[ "Abstract algebra uses matrices with entries in more general fields or even rings , while linear algebra codifies properties of matrices in the notion of linear maps ." ]
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where both a and b are positive integers that are of course smaller than n. But : n was the smallest number that can not be written as a product of primes . So it must be possible to write a and b as products of primes , because they are both smaller than n. But then the product
[ "where both a and b are positive integers smaller than n. Since n is the smallest number which can not be written as a product of primes , both a and b can be written as products of primes ." ]
[ "Another generalization , called complete induction ( or strong induction or course of values induction ) , says that in the second step we may assume not only that the statement holds for n = m but also that it is true for all n less than or equal to m." ]
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To do this , we use the following lemma : if a prime number p divides a product ab , then it divides a or it divides b ( Euclid 's lemma ) .
[ "The key step in proving uniqueness is Euclid 's proposition 30 of book 7 ( known as Euclid 's lemma ) , which states that , for any prime number p and any natural numbers a , b : if p divides ab then p divides a or p divides b." ]
[ "In other words , the result of combining element a with element b need not yield the same result as combining element b with element a ; the equation a â cents b = b â cents a may not always be true . This equation does always hold in the group of integers under addition , because a + b = b + a for any two integer...
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Croix-Fonsommes is a commune . It is found in the region Picardie in the Aisne department in the north of France .
[ "Croix-Fonsommes is a commune in the Aisne department in Picardy in northern France ." ]
[ "Montigny-l ` Allier is a commune in the Aisne department in Picardy in northern France ." ]
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Saint-Cyr-en-Pail is a commune of 441 people ( 1999 ) . It is found in the region Pays de la Loire in the Mayenne department in the northwest of France .
[ "Saint-Cyr-en-Pail is a commune in the Mayenne department in north-western France ." ]
[ "Commequiers is a commune of the Vendà e department in the Pays de la Loire region in western France ." ]
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Players follow the spoken words of the game unit by choosing the correct number or color .
[ "Players follow the spoken instructions of the game unit by choosing the correct number or color ." ]
[ "As a result , the designers decided to introduce the Goomba as a basic enemy ." ]
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Its catch phrase is `` If you do n't keep up with me , you 're finished ! ''
[ "Its catch phrase is `` If you do n't keep up with me , you 're finished ! '' ." ]
[ "Once Gates leaves , `` I 'm not going to need him for anything ." ]
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Brain Warp is an electronic toy made by Tiger Electronics and released in 1996 .
[ "Brain Warp is an electronic audio game made by Tiger Electronics and released in 1996 ." ]
[ "The game was developed and published by Nintendo , and was released in 1984 in Japan ." ]
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Max Ferdinand Perutz FRS OM CBE ( Vienna , Austria , 19 May 1914 â `` Cambridge , England , 6 February 2002 ) was an Austrian-born British molecular biologist .
[ "Max Ferdinand Perutz , FRS , OM , CBE ( May 19 , 1914 , Vienna , Austria â `` February 6 , 2002 , Cambridge , United Kingdom ) was an Austrian-born British molecular biologist , who shared the 1962 Nobel Prize for Chemistry with John Kendrew , for their studies of the structures of hemoglobin and globular proteins...
[ "Henrik Dam ( Full name Carl Peter Henrik Dam ) ( February 21 , 1895 â `` April 17 , 1976 ) was a Danish biochemist and physiologist ." ]
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Eltinho ( born 7 July 1987 ) is a Brazilian football player .
[ "Elton Divino Celio , better known as Eltinho , ( , born July 7 , 1987 in Guaira , Brazil ) is a Brazilian left back who current plays for the Campeonato Brasileiro team Coritiba ." ]
[ "Sandro Chaves de Assis Rosa , ( born May 19 , 1973 in Brazil ) is a Brazilian football player ." ]
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The Pacific Ocean is the body of water between Asia and Australia in the west , the Americas in the east , the Southern Ocean to the south , and the Arctic Ocean to the north .
[ "The Pacific Ocean is the largest of the Earth 's oceanic divisions . It extends from the Arctic in the north to the Southern Ocean in the south , bounded by Asia and Australia in the west , and the Americas in the east ." ]
[ "The region is located southeast of the Gulf of Mexico and North America , east of Central America , and to the north of South America ." ]
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An electric motor changes electrical energy into mechanical movement .
[ "An electric motor converts electrical energy into mechanical energy ." ]
[ "In addition , the heat created from the combustion is converted into electrical energy which is then provided to local communes ." ]
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Grey cast iron has 2 % silicon and 3 % carbon .
[ "Most cast irons have a chemical composition of 2.5 to 4.0 % carbon , 1 to 3 % silicon , and the remainder is iron ." ]
[ "Low carbon steel contains approximately 0.05 â `` 0.15 % carbon and mild steel contains 0.16 â `` 0.29 % carbon , therefore it is neither brittle nor ductile ." ]
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The term is usually used for gray cast iron . There are two main types of cast iron : gray cast iron and white cast iron .
[ "Cast iron usually refers to gray iron , but also identifies a large group of ferrous alloys , which solidify with a eutectic ." ]
[ "Steel with increased carbon content can be made harder and stronger than iron , but such steel is also less ductile than iron ." ]
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There are two main types of cast iron : gray cast iron and white cast iron .
[ "It is the most commonly used cast iron and the most widely use cast material based on weight ." ]
[ "Furthermore , sheet wrought iron can not bend as much as steel sheet metal ( when cold worked ) . Wrought iron can be cast , however there is no engineering advantage as compared to cast iron ; cast iron is much easier to produce and thus cheaper , so it is exclusively chosen over wrought iron ." ]
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Fovu Baham is a football club which plays in Cameroon .
[ "Fovu Baham is a Cameroonian football club based in Baham ." ]
[ "Oryx Douala is a football club from Douala , Cameroon , that achieved most of its success in the 1960s ." ]
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Over 250 species have been found in the park , 29 are rare or threatened in Victoria . These include the Long-footed Potoroo , Spotted Quoll ( Tiger Quoll ) , Giant Burrowing Frog and Eastern She-oak Skink .
[ "Over 250 native species have been recorded in the park , 29 of which are considered rare or threatened in Victoria , including the Long-footed Potoroo , Spotted Quoll ( Tiger Quoll ) , Giant Burrowing Frog and Eastern She-oak Skink ." ]
[ "The Nabarlek ( Petrogale concinna ) , also known as the Pygmy Rock-wallaby or the Little Rock-wallaby , is a very small species of macropod found in northern Australia ." ]
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Numbers for this species are estimated as extremely small , with the rugged terrain making it difficult to count the population .
[ "Numbers for this species are estimated as extremely small , with the rugged terrain making it difficult to accurately monitor the species population ." ]
[ "In the extensive moorlands of the tropics species diversity can be extremely high ." ]
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Snowy River National Park is a national park in Victoria ( Australia ) , 323 km east of Melbourne .
[ "Snowy River is a national park in Victoria ( Australia ) , 323 km east of Melbourne ." ]
[ "French Island is the largest coastal island of Victoria , Australia , located in Western Port , 61 km southeast of Melbourne ." ]
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Little River Gorge is Victoria 's deepest gorge . The Little River drops 610 metres from the Wulgulmerang plateau over a distance 14 km to where it joins the Snowy River at a height of 122 metres above sea level .
[ "Little River gorge is Victoria 's deepest gorge , with the Little River dropping 610 metres off the Wulgulmerang plateau over 14 km to the Snowy River at an elevation of 122 metres above sea level ." ]
[ "The Monaro region is a plateau area lying about 1000 metres above sea level , extending from the valley of the Murrumbidgee River in the north to the Errinundra Plateau in the south , and dropping rather sharply to the coast on its eastern side ." ]
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The park in the Little River Gorge area , has one of the last natural habitats for the endangered Brush-tailed Rock Wallaby .
[ "The park provides one of the last natural habitats at the Little River Gorge for the endangered Brush-tailed Rock Wallaby ." ]
[ "At least seven species of frog inhabit the islands ." ]
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The road is not suitable for caravans , trailers and large trucks because it is steep and winding . At McKillops Bridge the road which crosses the Snowy River near its junction with the Deddick River .
[ "The road is designated unsuitable for caravans , trailers and semi-trailers due to its long , narrow , and steep descent down to McKillops Bridge which crosses the Snowy River near its juncture with the Deddick River ." ]
[ "The Yass River , which is a tributary of the Murrumbidgee River , flows past the town ." ]
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It is also a good place to begin canoe and raft trips through the rugged gorges downstream . It is the start for the 18km Silver Mine Walking Track and the short Snowy River Trail .
[ "A camping site near McKillops Bridge provides an excellent site for swimming , launching canoes and rafting through the rugged gorges downstream , or the start for the 18km Silver Mine Walking Track and the short Snowy River Trail ." ]
[ "The road is designated unsuitable for caravans , trailers and semi-trailers due to its long , narrow , and steep descent down to McKillops Bridge which crosses the Snowy River near its juncture with the Deddick River ." ]
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A lot of the park is a protected wilderness area , with no access for vehicles .
[ "Much of the park is classified as wilderness area , where vehicles are unable to visit ." ]
[ "The bushland around Mansfield is used for horse riding , trail biking and four wheel driving on extensive tracks throughout the region ." ]
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