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a596940250806fe3e1a9495cd337fa7f51e99cf1
the saints then faced ucd at richmond park
the saints then faced ucd at richmond park and although they spurned many chances in the first half christy fagan opened the scoring after a cleaver ball from james chambers. the home side's dominance continued in the second half and the 3 points were secured when greg bolger tapped in from 5 yards in the 81st minute
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c9a48f02c0ec820b96f27cb30803526b29b188ee
an away trip to drogheda was up next
an away trip to drogheda was up next and after a frustrating 90 minutes in which their appeals for a handball in the box were waved away by the referee and many chances were wasted, drogheda united hit the post late on.
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391122015e2eb3345a741271eb7d9bf557323a48
pat's played rivals shamrock rovers in the next
pat's played rivals shamrock rovers in the next game which was the saint's third dublin derby in a row and the game was also live on rtÉ. pat's started with a bang, taking an early lead through chris forrester with a terrific strike. the lead was doubled just before the half hour mark with john russell slotting home from 6 yards. the lead was then made three thanks to a cheeky chip from forrester to grab his second of the game. ken oman did reply for the visitors but the points where then sealed when russell played in christy fagan and he rounded the keeper and rolled the ball into an empty net. fagan then made 5–1 and put the icing on the cake when he headed the ball into again an empty net which topped off a great night in inchicore.
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e0100da0222e6e30b7ecc71cac4e9524719cd787
the saint's next game was another dublin derby,
the saint's next game was another dublin derby, this time it was against shelbourne. the last time these two met it was in the fai cup semi-finals with shels coming out on top on that occasion. shels took the lead thanks to a brendan mcgill volley which hit the underside of the crossbar and came back down to hit the pat's goalkeeper on the back and went into the net. but pat's equalised before half-time with christy fagan scoring his first goal for the club. even with shels going down to ten men, the game finished 1–1 with pat's unable to take advantage with the extra man.
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e9dbc43bfa8e8267f42992589f9616eb04e01edc
the next game for the saint's was a
the next game for the saint's was a dublin derby against bohemians away, which was live on rtÉ. the game finished a bore 0–0 draw with karl moore and stephen o'flynn coming closest for both sides.
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1e2a02ae8d7688d02aed982356ff55d98c894758
the saint's next game was against newly promoted
the saint's next game was against newly promoted monaghan united f.c. at home in richmond. the game finished one 1–1 with dean kelly cancelling out conor murphy's opening goal for the mon's but kelly's night didn't end well, after he got a controversial red card for a high challenge on former pat's player stephen maher. the saint's could have won it late on with a penalty but stephen o'flynn failed to convert the spot-kick.
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c68b7cffdac6b75c6c54cd507a0da9f6b62ec6ed
with a much changed team from last season,
with a much changed team from last season, the saints started their season with a 1–0 win against bray wanderers when dean kelly's glancing header from a sean o'connor corner was deemed over the line by the referee.
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00cb537677432177d31bc7fdd86698b90c0a131e
on 27 august, the saints again faced longford
on 27 august, the saints again faced longford town in a mid-season friendly. pats played a starting 11 of players who were aiming to regain their places in the regular starting line up. longford found themselves being dominated throughout the entire game, although they took the lead just before half time through a wonder strike. chris deans was sent off for a poorly timed challenge on the edge of his box on darren meenan early into the second half. jake kelly 's low shot was saved onto the post by former saint paul hunt before vinny faherty scored his first goal since his return to the club when he played a one-two with kelly and smashed his shot into the top left corner.
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7707d804031f58e11da9a3312728c6ffad6ebd6c
the supersaints started their pre-season programme when they
the supersaints started their pre-season programme when they cruised to a 2–0 win over non-league side glebe north in balbriggan with goals coming from new midfield signings greg bolger and mark rossiter. pats played a behind closed doors friendly with the side they share training facilities with, phoenix and won 2–1 with goals coming from james chambers and mark rossiter at scribblestown, near blanchardstown. liam buckley 's side then played a relatively trouble free 2–0 win over first division longford town at richmond park with goals from defender conor kenna and new signing kenny browne seeing of the first division side. after a good start to their pre-season, pat's suffered an early exit from setanta cup with a two nil aggregate score line defeat to cliftonville. despite this defeat pat's won their next pre-season friendly against mervue 1–0 with sean o'connor scoring the winner early in the game.
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764a1bf54cd9f505eefe526f2ab06274414c33de
after appointing liam buckley as the new manager,
after appointing liam buckley as the new manager, buckley wasted no time in changing the squad by bringing in fourteen fresh faces and only keeping five players from the squad last season. new faces included christy fagan from bohemians, james chambers from hamilton and old saint brendan clarke back to the club from sligo rovers. despite the new signings, pat's also lost crucial players such as top scorer from last season danny north to sligo rovers, gary rogers to sligo rovers also, stephen bradley to limerick f.c. and daryl kavanagh to arch-rivals shamrock rovers.
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536dbc3322c7d6db9dc1885ab3e81f0fb99622bc
the 2012 season was st. patrick's athletic f.c.
the 2012 season was st. patrick's athletic f.c. 's 83rd year in existence and it was the supersaint's 61st consecutive season in the top-flight of irish football. the saint's were under the new management of liam buckley after pete mahon was let go at the end of the 2011 season. pat's finished 4th the previous season and doing so qualified for the 2012–13 uefa europa league first qualifying round. the saints also competed in domestic competitions such as the fai cup, setanta cup, leinster senior cup, and the ea sports cup.
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17edc3fefef71d5aca2d7bd6ed73535dbaf66aec
the 2019–20 season was 1. fsv mainz 05's
the 2019–20 season was 1. fsv mainz 05's 121st season in existence and the club's 39th consecutive season in the top flight of german football. in addition to the domestic league, 1. fsv mainz 05 participated in this season's edition of the dfb-pokal. the season covered a period from 1 july 2019 to 30 june 2020.
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c1ab82337f282c5a7afa55520e6d9cd2f99fbedb
the 2019–20 season was 1. fsv mainz 05
the 2019–20 season was 1. fsv mainz 05 's 121st season in existence and the club's 39th consecutive season in the top flight of german football. in addition to the domestic league, 1. fsv mainz 05 participated in this season's edition of the dfb-pokal. the season covered a period from 1 july 2019 to 30 june 2020.
wikipedia
f2281ea9a1b9e0c759165ec18dee76088b99f563
the 2017–18 season was the club's 5th season
the 2017–18 season was the club's 5th season in the scottish premiership and their sixth consecutive appearance in the top flight of scottish football. ross county also competed in the league cup and the scottish cup. on 25 september, manager jim mcintyre was sacked by the club. on 28 september, owen coyle took over as manager. he resigned on 1 march with steven ferguson and stuart kettlewell taking over as co-managers but they could not keep county in the premiership and on 12 may after 6 years they were relegated back to the championship.
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cd6e39b2bf220570964c5cabe4f8d58afc69ada4
on 25 september, manager jim mcintyre was sacked
on 25 september, manager jim mcintyre was sacked by the club. on 28 september, owen coyle took over as manager. he resigned on 1 march with steven ferguson and stuart kettlewell taking over as co-managers but they could not keep county in the premiership and on 12 may after 6 years they were relegated back to the championship.
wikipedia
fba99254977abbe2aedca08dfddfc82be63f3d1f
the 2017–18 season was the club's 5th season
the 2017–18 season was the club's 5th season in the scottish premiership and their sixth consecutive appearance in the top flight of scottish football. ross county also competed in the league cup and the scottish cup.
wikipedia
8b77a41049eafc83780b8bd89febb430e7e6c50e
the 2019–20 odense boldklub season was the club's
the 2019–20 odense boldklub season was the club's 131st season, and their 58th appearance in the danish superliga. as well as the superliga, the side is also competing in sydbank pokalen. they ended up as 7th in the league, and losing the european play-off final against agf.
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1c237d9c58f0fd2e5e206383ce5c5c541abad390
the 2019–20 odense boldklub season was the club's
the 2019–20 odense boldklub season was the club's 131st season, and their 58th appearance in the danish superliga. as well as the superliga, the side is also competing in sydbank pokalen.
wikipedia
dd80a1b117adb12427b9ba9a651b6086eada1386
the 2020 copa conmebol sudamericana was the 19th
the 2020 copa conmebol sudamericana was the 19th edition of the conmebol sudamericana, south america's secondary club football tournament organized by conmebol. on 17 october 2019, conmebol announced that the final would be played at the estadio mario alberto kempes in córdoba, argentina with the final originally scheduled to be played on 7 november 2020. argentine club defensa y justicia defeated fellow argentine club lanús by a 3–0 score in the final to win their first tournament title. as champions, defensa y justicia earned the right to play against the winners of the 2020 copa libertadores in the 2021 recopa sudamericana. they also automatically qualified for the 2021 copa libertadores group stage. independiente del valle were the defending champions, but did not play this edition as they qualified for the 2020 copa libertadores group stage as copa sudamericana champions and later advanced to the knockout stage. on 21 may 2019, conmebol announced that clubs must pass certain eligibility requirements in order to compete in the 2020 copa libertadores and copa sudamericana. one of the original requirements was that teams must be in the top division of their member association, but this was removed after many associations stated that they had not adapted the regulations of their qualifying competitions for the 2020 copa libertadores and copa sudamericana. the tournament was suspended after its first round due to the covid-19 pandemic and resumed on 27 october 2020. it ended with the final on 23 january 2021.
wikipedia
652d691e7ee176f3869bf490314b09c983c6ac60
starting from the round of 16, the teams
starting from the round of 16, the teams are seeded according to the second stage draw, with each team assigned a "seed" 1–16 corresponding to the tie they win (o1–o16) (regulations article 2.2.2.1).
wikipedia
6e15504288c0d2e41ab9798b76011fc894e0b9e3
in the second stage, each tie was played
in the second stage, each tie was played on a home-and-away two-legged basis. if tied on aggregate, the away goals rule was used. if still tied, extra time was not played, and a penalty shoot-out was used to determine the winner (regulations article 2.4.2).
wikipedia
21520e62308a1ac11611eae0db84f741ae457c6f
in the first stage, each tie was played
in the first stage, each tie was played on a home-and-away two-legged basis. if tied on aggregate, the away goals rule was used. if still tied, extra time was not played, and a penalty shoot-out was used to determine the winner (regulations article 2.4.2).
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fdd5f4fa3e3959de25166dc1c3d3644719857e44
the 32 teams were drawn into 16 ties
the 32 teams were drawn into 16 ties (o1–o16) between a team from pot 1 and a team from pot 2, with the teams from pot 1 hosting the second leg. teams from the same association could be drawn into the same tie.
wikipedia
5d8b57913caa4de2ba62b3ec72e12bfe754709fd
the 44 teams were drawn into 22 ties
the 44 teams were drawn into 22 ties (e1–e22) between a team from pot a and a team from pot b, with the teams from pot b hosting the second leg in odd-numbered ties, and the teams from pot a hosting the second leg in even-numbered ties. this distribution ensured that teams from the same association could not be drawn into the same tie.the draw for the second stage was held on 23 october 2020, 12:00 pyt (utc−3). for the second stage, the teams were allocated to two pots according to their previous results in this season:
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be0105d85d54ee4bd237b9f7117fd948978855c8
the draw for the first stage was held
the draw for the first stage was held on 17 december 2019, 20:30 pyst (utc−3), at the conmebol convention centre in luque, paraguay. for the first stage, the teams were divided into two pots according to their geographical zones:
wikipedia
9fd4150000a9ee4681fbf3668ce9484027fb69cb
on 17 april 2020, conmebol announced that the
on 17 april 2020, conmebol announced that the tournament would be suspended indefinitely due to the covid-19 pandemic, and no date had been set for its resumption. on 10 july 2020, conmebol announced the new schedule for the remainder of the competition.
wikipedia
cfaaf0d2c1c8d7422a074f649ac10c005a74ab19
on 21 may 2019, conmebol announced that clubs
on 21 may 2019, conmebol announced that clubs must pass certain eligibility requirements in order to compete in the 2020 copa libertadores and copa sudamericana. one of the original requirements was that teams must be in the top division of their member association, but this was removed after many associations stated that they had not adapted the regulations of their qualifying competitions for the 2020 copa libertadores and copa sudamericana.
wikipedia
43c6d66b04bac2b37d2deb67b9cb163dd4e9c522
on 17 october 2019, conmebol announced that the
on 17 october 2019, conmebol announced that the final would be played at the estadio mario alberto kempes in córdoba, argentina with the final originally scheduled to be played on 7 november 2020. argentine club defensa y justicia defeated fellow argentine club lanús by a 3–0 score in the final to win their first tournament title. as champions, defensa y justicia earned the right to play against the winners of the 2020 copa libertadores in the 2021 recopa sudamericana. they also automatically qualified for the 2021 copa libertadores group stage. independiente del valle were the defending champions, but did not play this edition as they qualified for the 2020 copa libertadores group stage as copa sudamericana champions and later advanced to the knockout stage.
wikipedia
0d229fc9460132fdb087c5d3e73098db9814a6be
the 2020 copa conmebol sudamericana was the 19th
the 2020 copa conmebol sudamericana was the 19th edition of the conmebol sudamericana (also referred to as the copa sudamericana, or portuguese: copa sul-americana), south america 's secondary club football tournament organized by conmebol.
wikipedia
b147a235af508f2ee0a89b9019e9c0689e50f7cb
poparadu made his debut in liga i in
poparadu made his debut in liga i in 2007, against the rivals uta arad. after alexandru bourceanu 's and dan alexa 's departure from poli, poparadu began to be in first eleven in midfield with iulian tameş. in summer of 2011, he changes his number from 31 to 5, former number of capitan dan alexa. he plays twenty minutes in liga ii against bihor oradea.
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5932a1204d785d6eb58f6441fc38fbf2c8a0951b
the 2019–20 1. fc heidenheim season was the
the 2019–20 1. fc heidenheim season was the 6th consecutive season in the 2. bundesliga, the second division of german football, played by 1. fc heidenheim, a football club based in heidenheim an der brenz, baden-württemberg, germany. in addition to the 2. bundesliga, heidenheim also participated in the dfb-pokal. the club played their home matches at the voith-arena.
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06a0d2f611c10787a138d0cd4e8906d29cda2b12
as a result of their third place finish
as a result of their third place finish in the regular season, the club qualified for the play-off match with the 16th-place team in the 2019–20 bundesliga to determine whether the club would be promoted to the 2020–21 bundesliga.
wikipedia
5932a1204d785d6eb58f6441fc38fbf2c8a0951b
the 2019–20 1. fc heidenheim season was the
the 2019–20 1. fc heidenheim season was the 6th consecutive season in the 2. bundesliga, the second division of german football, played by 1. fc heidenheim, a football club based in heidenheim an der brenz, baden-württemberg, germany. in addition to the 2. bundesliga, heidenheim also participated in the dfb-pokal. the club played their home matches at the voith-arena.
wikipedia
f3563a1eadb4370ca4e6be2c78a3d9da58e0698b
the 2014 hawke's bay cup was the 1st
the 2014 hawke's bay cup was the 1st edition of the invitational hawke's bay cup competition. it took place between 5–13 april 2014 in hastings, new zealand. a total of six teams competed for the title. argentina won the tournament for the first time after defeating australia 3–0 in the final. china won the third place match by defeating new zealand 3–2.
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fd0ed5f074239b7c6ff5aa284721e4ece336ae96
the 2014 hawke's bay cup was the 1st
the 2014 hawke's bay cup was the 1st edition of the invitational hawke's bay cup competition. it took place between 5–13 april 2014 in hastings, new zealand. a total of six teams competed for the title.
wikipedia
a269c5e0d3405a1e8bc020a2cd4f4af03789e4a1
the 2014–15 football league is the second division
the 2014–15 football league is the second division of the greek professional football system and the fifth season under the name football league after previously being known as beta ethniki. this is the second season since 1982–83, and the third season overall, that the league has more than one group. the groups are created based on geographical criteria.
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e97250677abffee27abdf448822b109c42009149
in the north group, as well as in
in the north group, as well as in the south group, the top three teams of each group will qualify for a playoff round, to determine which two teams will be promoted to the super league. the bottom three teams of each group will be relegated. the teams in the 5th - 10th positions of each group will qualify for the relegation playoff round, to determine which six teams will also be relegated. for this season there will be 12 teams relegated in total (the bottom three teams from each group and the six teams from the relegation playoff), in order for the 2015-16 football league to have only one group of 20 teams.
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a269c5e0d3405a1e8bc020a2cd4f4af03789e4a1
the 2014–15 football league is the second division
the 2014–15 football league is the second division of the greek professional football system and the fifth season under the name football league after previously being known as beta ethniki. this is the second season since 1982–83, and the third season overall, that the league has more than one group. the groups are created based on geographical criteria.
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f9d3c40aa14c13ac6faa5221cdb25047a046587d
the 2015–16 season was genoa cricket and football
the 2015–16 season was genoa cricket and football club's ninth consecutive season in serie a. the club finished in 11th place in serie a, and was surprisingly eliminated by lega pro side alessandria in the coppa italia.
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0f9cb3cbfd796b3ea01e8a5d621bafb7b9ec79d5
the 2015–16 season was genoa cricket and football
the 2015–16 season was genoa cricket and football club ' s ninth consecutive season in serie a. the club finished in 11th place in serie a, and was surprisingly eliminated by lega pro side alessandria in the coppa italia.
wikipedia
f847a0897454aafed5e980b5e4598b0b043c3944
the 2019–20 elite league, also known as 2019–20
the 2019–20 elite league, also known as 2019–20 hero elite league for sponsorship reasons, was the twelfth season of the indian elite league and the fifth season of the competition as an under-18 one. punjab f.c. were the defending champions. on 18 april 2020, all india football federation, the organising body of the league announced that the league would be called off due to coronavirus pandemic.
wikipedia
73f58f094a2d55ee399fff786729b20b25012ecd
the 2019–20 elite league, also known as 2019–20
the 2019–20 elite league, also known as 2019–20 hero elite league for sponsorship reasons, was the twelfth season of the indian elite league and the fifth season of the competition as an under-18 one. punjab f.c. were the defending champions.
wikipedia
8a7477f146ebb256744470e848a5dec03080ce62
the 2014 wta tour was the elite professional
the 2014 wta tour was the elite professional tennis circuit organized by the women's tennis association (wta) for the 2014 tennis season. the 2014 wta tour calendar comprises the grand slam tournaments, the wta premier tournaments, the wta international tournaments, the fed cup, and the year-end championships. also included in the 2014 calendar is the hopman cup, which was organized by the itf and did not distribute ranking points.
wikipedia
2a1bc1f9bfce8b22940f63516736a56f643d8c76
following is a list of notable players (winners
following is a list of notable players (winners of a main tour title, and/or part of the wta rankings top 100 (singles) or (doubles) for at least one week) who announced their retirement from professional tennis, became inactive (after not playing for more than 52 weeks), or were permanently banned from playing, during the 2014 season:
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8c44d9141affd0762d89686c8a5696abf69fe62c
the points distribution was modified for the 2014
the points distribution was modified for the 2014 season. main draw rounds usually give a little less points, but there is no change for the champion (w). points for qualifying rounds (q) have changed in both directions depending on the tournament category. points earned in 2013 retain their value until they expire after 52 weeks.
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e472d57946af3b514122ada75342a2d476f61aa2
serena williams lead for the 2nd consecutive year,
serena williams lead for the 2nd consecutive year, and 5th overall, with the second highest single-season earnings. also for the second consecutive season, top-25 players earned over $1,000,000. sara errani and roberta vinci each made $1,001,168 by playing in doubles tournaments. it was the 1st time in wta tour history a player earned over $1,000,000 in doubles events.
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0e6cfeac44046fdc0d3782ae6afd7949457328b8
these tables present the number of singles (s),
these tables present the number of singles (s), doubles (d), and mixed doubles (x) titles won by each player and each nation during the season, within all the tournament categories of the 2014 wta tour: the grand slam tournaments, the year-end championships (the wta tour championships and the tournament of champions), the wta premier tournaments (premier mandatory, premier 5, and regular premier), and the wta international tournaments. the players/nations are sorted by: 1) total number of titles (a doubles title won by two players representing the same nation counts as only one win for the nation); 2) cumulated importance of those titles (one grand slam win equalling two premier mandatory/premier 5 wins, one year-end championships win equalling one-and-a-half premier mandatory/premier 5 win, one premier mandatory/premier 5 win equalling two premier wins, one premier win equalling two international wins); 3) a singles > doubles > mixed doubles hierarchy; 4) alphabetical order (by family names for players).
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ac44570e9cf9393fdb686580452f356170a31009
the 2014 wta tour was the elite professional
the 2014 wta tour was the elite professional tennis circuit organized by the women's tennis association (wta) for the 2014 tennis season. the 2014 wta tour calendar comprises the grand slam tournaments (supervised by the international tennis federation (itf)), the wta premier tournaments (premier mandatory, premier 5, and regular premier), the wta international tournaments, the fed cup (organized by the itf), and the year-end championships (the wta tour championships and the wta tournament of champions). also included in the 2014 calendar is the hopman cup, which was organized by the itf and did not distribute ranking points.
wikipedia
0f2d84dfb168b9cfd5a3909958dc0bb701880024
8-hydroxyguanosine is an rna nucleoside which is an
8-hydroxyguanosine is an rna nucleoside which is an oxidative derivative of guanosine. measurement of the levels of 8-hydroxyguanosine is used as a biomarker of oxidative stress causing rna damage.
wikipedia
0f2d84dfb168b9cfd5a3909958dc0bb701880024
8-hydroxyguanosine is an rna nucleoside which is an
8-hydroxyguanosine is an rna nucleoside which is an oxidative derivative of guanosine. measurement of the levels of 8-hydroxyguanosine is used as a biomarker of oxidative stress causing rna damage.
wikipedia
d7810c891418f1499a8cba68191a2fa0275602b3
the khazar lankaran 2015-16 season is khazar lankaran's
the khazar lankaran 2015-16 season is khazar lankaran's twelfth azerbaijan premier league season, and their first season under manager elbrus mammadov. they will compete in the azerbaijan cup and the league.
wikipedia
d7810c891418f1499a8cba68191a2fa0275602b3
the khazar lankaran 2015-16 season is khazar lankaran's
the khazar lankaran 2015-16 season is khazar lankaran's twelfth azerbaijan premier league season, and their first season under manager elbrus mammadov. they will compete in the azerbaijan cup and the league.
wikipedia
549aee19840403abac5ddb52d49ce3ee769a4b5f
the 2014–15 season was the 88th season in
the 2014–15 season was the 88th season in acf fiorentina's history and their 77th season in serie a. the club competed in serie a, finishing fourth, and reached the semi-finals in both the coppa italia and uefa europa league; in the latter competition they were eliminated 5–0 on aggregate by eventual champions sevilla. the season was coach vincenzo montella's third and final season with the club – as well as third consecutive fourth-placed finish – as he would be sacked and replaced by former juventus player paulo sousa in the 2015–16 pre-season. slovenian player josip iličić finished as top scorer in the league with eight goals, while iličić and german international and former bayern munich player mario gómez together finished as top scorers in all competitions, with ten goals each.
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a2305913a2ac77d5e93b57c3b94a712d853c96eb
the 2014–15 season saw fiorentina compete on three
the 2014–15 season saw fiorentina compete on three fronts as they did the previous season, with one improvement being that they qualified automatically to the group stage of the europa league (rather than having to traverse a qualifying round) due to the fact that the previous season's coppa italia winners napoli qualified to the champions league.
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f7b1624d81e1469f91ca1ebef6f265f0e8bbcc57
the season was coach vincenzo montella 's third
the season was coach vincenzo montella 's third and final season with the club – as well as third consecutive fourth-placed finish – as he would be sacked and replaced by former juventus player paulo sousa in the 2015–16 pre-season. slovenian player josip iličić finished as top scorer in the league with eight goals, while iličić and german international and former bayern munich player mario gómez together finished as top scorers in all competitions, with ten goals each.
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79d0ad8786d06e479d58ac78cc7380aa8a786011
the 2014–15 season was the 88th season in
the 2014–15 season was the 88th season in acf fiorentina ' s history and their 77th season in serie a. the club competed in serie a, finishing fourth, and reached the semi-finals in both the coppa italia and uefa europa league; in the latter competition they were eliminated 5–0 on aggregate by eventual champions sevilla.
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c0e7c86c8130cb1301a5f0f9182f9c4d62647052
therefore, s {\displaystyle {\boldsymbol {s}}} is the pull
therefore, s {\displaystyle {\boldsymbol {s}}} is the pull back of τ {\displaystyle {\boldsymbol {\tau }}} by f {\displaystyle {\boldsymbol {f}}} and τ {\displaystyle {\boldsymbol {\tau }}} is the push forward of s {\displaystyle {\boldsymbol {s}}}.
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649cf64d7790c86ef57a7d6e728e2c744a735b24
the biot stress is useful because it is
the biot stress is useful because it is energy conjugate to the right stretch tensor u {\displaystyle {\boldsymbol {u}}}. the biot stress is defined as the symmetric part of the tensor p t ⋅ r {\displaystyle {\boldsymbol {p}}^{t}\cdot {\boldsymbol {r}}} where r {\displaystyle {\boldsymbol {r}}} is the rotation tensor obtained from a polar decomposition of the deformation gradient. therefore, the biot stress tensor is defined as
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67ff0e338dd72b660d8b47f8a73320a403c36b81
if we pull back d f {\displaystyle d\mathbf
if we pull back d f {\displaystyle d\mathbf {f} } to the reference configuration we obtain the traction acting on that surface before the deformation d f 0 {\displaystyle d\mathbf {f} _{0}} assuming it behaves like a generic vector belonging to the deformation. in particular we have
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7190578e0a0b6a7bb1457ffd84aaf0137bdb6263
the nominal stress n = p t {\displaystyle
the nominal stress n = p t {\displaystyle {\boldsymbol {n}}={\boldsymbol {p}}^{t}} is the transpose of the first piola–kirchhoff stress (pk1 stress, also called engineering stress) p {\displaystyle {\boldsymbol {p}}} and is defined via
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a80ebd8d8aa76f1639cd910f1c2c881a8fbb91ba
is called the kirchhoff stress tensor, with j
is called the kirchhoff stress tensor, with j {\displaystyle j} the determinant of f {\displaystyle {\boldsymbol {f}}}. it is used widely in numerical algorithms in metal plasticity (where thereis no change in volume during plastic deformation). it can be called weighted cauchy stress tensor as well.
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12188562187319313f130ce201714f9ece24813d
in the reference configuration Ω 0 {\displaystyle \omega
in the reference configuration Ω 0 {\displaystyle \omega _{0}}, the outward normal to a surface element d Γ 0 {\displaystyle d\gamma _{0}} is n ≡ n 0 {\displaystyle \mathbf {n} \equiv \mathbf {n} _{0}} and the traction acting on that surface (assuming it deforms like a generic vector belonging to the deformation) is t 0 {\displaystyle \mathbf {t} _{0}} leading to a force vector d f 0 {\displaystyle d\mathbf {f} _{0}}. in the deformed configuration Ω {\displaystyle \omega }, the surface element changes to d Γ {\displaystyle d\gamma } with outward normal n {\displaystyle \mathbf {n} } and traction vector t {\displaystyle \mathbf {t} } leading to a force d f {\displaystyle d\mathbf {f} }. note that this surface can either be a hypothetical cut inside the body or an actual surface. the quantity f {\displaystyle {\boldsymbol {f}}} is the deformation gradient tensor, j {\displaystyle j} is its determinant.
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6986d82dbdcfbfb9eae29945e4a0017618125fed
the 2015 hogan cup was the 62nd staging
the 2015 hogan cup was the 62nd staging of the hogan cup since its establishment by the gaelic athletic association in 1946. the competition ran from 28 march to 11 april 2015. pobalscoil chorca dhuibhne were the defending champions. the final was played on 11 april 2015 at croke park in dublin, between pobalscoil chorca dhuibhne and roscommon cbs, in what was their first ever meeting in the final. pobalscoil chorca dhuibhne won the match by 1–12 to 2–05 to claim their second consecutive hogan cup title. conchuir Ó géibheannaigh was the top scorer with 0–12.
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d6925182b2e86dea8d442ed08a0d64e497cbec9b
the final was played on 11 april 2015
the final was played on 11 april 2015 at croke park in dublin, between pobalscoil chorca dhuibhne and roscommon cbs, in what was their first ever meeting in the final. pobalscoil chorca dhuibhne won the match by 1–12 to 2–05 to claim their second consecutive hogan cup title.
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4fe116b2c787a366f3ab0bbc677288794dcc6ad0
in the 2015 concacaf gold cup, the main
in the 2015 concacaf gold cup, the main disciplinary action taken against players comes in the form of red and yellow cards. any player picking up a red card is expelled from the pitch and automatically banned for his country's next match, whether via a straight red or second yellow. after a straight red card, fifa will conduct a hearing and may extend this ban beyond one match. if the ban extends beyond the end of the finals, it must be served in the team's next competitive international match(es). in most cases, that will be the first matches of 2018 fifa world cup qualifying.
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a94bc309542ad8b479d21db36acc8bb1406d747c
any player picking up a red card is
any player picking up a red card is expelled from the pitch and automatically banned for his country's next match, whether via a straight red or second yellow. after a straight red card, fifa will conduct a hearing and may extend this ban beyond one match. if the ban extends beyond the end of the finals (i.e. if a player is sent off in the match in which his team was eliminated), it must be served in the team's next competitive international match(es). in most cases, that will be the first matches of 2018 fifa world cup qualifying.
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5ccbb3bfa9c888cd88e20b37ec1d73f9b8bdaf42
2016 pq has a very small minimum orbit
2016 pq has a very small minimum orbit intersection distance (moid) to the earth – only around 14,693 kilometres (9,130 miles), corresponding to 0.038 lunar distances or 2.3 earth radii. it has the 19th lowest moid of any known asteroid, as well as the 7th lowest moid of any object larger than it (after (433953) 1997 xr 2, 2006 qv, (85236) 1993 kh, 2013 tx 68, 2014 da, and 2004 fh).
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09e21377eeebe637e94bdf5b9fe59a0a75e619e0
2016 pq orbits the sun at a distance
2016 pq orbits the sun at a distance of 0.9–2.9 au once every 2 years and 8 months (961 days). its orbit has an eccentricity of 0.54 and an inclination of 3 ° with respect to the ecliptic.
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d59259fa395f027fd936b4fc1c34c5d15a9e67e4
the asteroid was discovered by the pan-starrs telescope
the asteroid was discovered by the pan-starrs telescope on 2 august 2016, when it had reached magnitude 20.5, and it had brightened by magnitude 19.0 three nights later, after which it became too close to the sun to spot with ground-based telescopes. it reached its closest approach to the earth on 7 august 2016, at 0.025 au, or 9.8 lunar distances.
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c5cf4a0ae20f4d187d63f7158758c339b8cab157
the 2015–16 season was unione calcio sampdoria's third
the 2015–16 season was unione calcio sampdoria's third season back in serie a after having been relegated at the end of the 2011–12 season. the team competed in serie a, finishing a disappointing 15th; in the coppa italia, where they were eliminated in the round of 16; and in the uefa europa league, where the club was eliminated in the third qualifying round following a shocking 4–0 home defeat to serbian club vojvodina, losing the tie 4–2 on aggregate.
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44dee6a194de916cf1ce48303af872db23084105
the 2015–16 season was unione calcio sampdoria '
the 2015–16 season was unione calcio sampdoria ' s third season back in serie a after having been relegated at the end of the 2011–12 season. the team competed in serie a, finishing a disappointing 15th; in the coppa italia, where they were eliminated in the round of 16; and in the uefa europa league, where the club was eliminated in the third qualifying round following a shocking 4–0 home defeat to serbian club vojvodina, losing the tie 4–2 on aggregate.
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2f323fa7c7c837cd52cd9746516ac6eb94822be5
the 2021 copa conmebol sudamericana was the 20th
the 2021 copa conmebol sudamericana was the 20th edition of the conmebol sudamericana, south america's secondary club football tournament organized by conmebol. starting from this season, teams must be in the top division of their member association to play in south american club competitions, except for teams which are champions of the qualifying tournaments or cups. on 14 may 2020, conmebol announced the candidate venues for the 2021, 2022 and 2023 club competition finals. on 13 may 2021, conmebol announced that the final would be played at the estadio centenario in montevideo, uruguay on 6 november 2021, but on 27 july 2021 the final was eventually confirmed to have been rescheduled to 20 november 2021. brazilian club athletico paranaense defeated fellow brazilian club red bull bragantino by a 1–0 score in the final to win their second tournament title. as winners of the 2021 copa sudamericana, athletico paranaense earned the right to play against the winners of the 2021 copa libertadores in the 2022 recopa sudamericana. they also automatically qualified for the 2022 copa libertadores group stage. defensa y justicia were the defending champions, but did not play this edition since they qualified for the 2021 copa libertadores group stage as copa sudamericana champions and later advanced to the knockout stage.
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da54b36c87ac8d90d189574304135ac59b2c18f4
starting from the round of 16, the teams
starting from the round of 16, the teams are seeded according to their results in the group stage, with the copa sudamericana group winners (pot 1) seeded 1–8, and the copa libertadores group third-placed teams (pot 2) seeded 9–16.
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ee57e296539868eae6b5680219a241e17f2fdefa
in the group stage, each group is played
in the group stage, each group is played on a home-and-away round-robin basis. the teams are ranked according to the following criteria: 1. points (3 points for a win, 1 point for a draw, and 0 points for a loss); 2. goal difference; 3. goals scored; 4. away goals scored; 5. conmebol ranking (regulations article 2.4.3).
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78c79545cb2470e8165ea5fbb6dd550b55e5526f
the 16 winners of the first stage advanced
the 16 winners of the first stage advanced to the group stage to join the 12 teams directly qualified for that stage (six from argentina and six from brazil), and four teams transferred from the copa libertadores (the four teams eliminated in the third stage of qualifying).
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013cad4fdc2e59e0a7c86ac3f4bebfdfe5d1e8e9
in the first stage, each tie was played
in the first stage, each tie was played on a home-and-away two-legged basis. if tied on aggregate, the away goals rule was used. if still tied, extra time will not be played, and a penalty shoot-out would be used to determine the winner (regulations article 2.4.2).
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2cacc1e7d59d148823c28c698733721c96975192
the draw for the round of 16 was
the draw for the round of 16 was held on 1 june 2021, 12:00 pyt (utc−4), at the conmebol convention centre in luque, paraguay. for the round of 16, the 16 teams were drawn into eight ties (a–h) between a copa sudamericana group winner (pot 1) and a copa libertadores group third-placed (pot 2), with the copa sudamericana group winners hosting the second leg. teams from the same association or the same group could be drawn into the same tie (regulations article 2.2.3.2).
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f627239ec89c046ad715dfa5c216dd695aeab82a
for the group stage, the 32 teams were
for the group stage, the 32 teams were drawn into eight groups (groups a–h) of four containing a team from each of the four pots. teams from the same association could not be drawn into the same group, excluding the four losers of the copa libertadores third stage, which were seeded in pot 4 and whose identity was not known at the time of the draw, and could be drawn into the same group with another team from the same association.
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4a301c9a7ba4908a99e2d501cf7145a203c5833d
the 32 teams were drawn into 16 ties,
the 32 teams were drawn into 16 ties, with the four teams from each national association drawn against each other into two ties per association (e.g., the four teams from bolivia were drawn into ties bol 1 and bol 2), and the first team drawn in each tie hosting the second leg.the draw for the group stage was held on 9 april 2021, 12:00 pyt (utc−4), at the conmebol convention centre in luque, paraguay.
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f16878e3ac2b130e1f709c924d4aa13da8423513
the draw for the first stage was held
the draw for the first stage was held on 5 february 2021, 12:00 pyst (utc−3), at the conmebol convention centre in luque, paraguay. for the first stage, the 32 teams involved were divided into eight pots according to their national association.
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6981d01481208c6bd9739b249ecdba7a8bba68f4
on 2 october 2020, conmebol's council approved the
on 2 october 2020, conmebol's council approved the implementation of format changes to the copa sudamericana starting from this edition, aimed at ensuring that each of the countries is better represented in the different stages of the competition. the following changes were implemented:
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60b70f2c7f31dc768ff9b76f78c86394ab2dd502
brazilian club athletico paranaense defeated fellow brazilian club
brazilian club athletico paranaense defeated fellow brazilian club red bull bragantino by a 1–0 score in the final to win their second tournament title. as winners of the 2021 copa sudamericana, athletico paranaense earned the right to play against the winners of the 2021 copa libertadores in the 2022 recopa sudamericana. they also automatically qualified for the 2022 copa libertadores group stage.
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5d3ab731da8516b84d19f1bf8b62e230b94473fb
on 14 may 2020, conmebol announced the candidate
on 14 may 2020, conmebol announced the candidate venues for the 2021, 2022 and 2023 club competition finals. on 13 may 2021, conmebol announced that the final would be played at the estadio centenario in montevideo, uruguay on 6 november 2021, but on 27 july 2021 the final was eventually confirmed to have been rescheduled to 20 november 2021.
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1ce0cdb6653ecabe15db51b10e587ef1bf313357
the 2021 copa conmebol sudamericana was the 20th
the 2021 copa conmebol sudamericana was the 20th edition of the conmebol sudamericana (also referred to as the copa sudamericana, or portuguese: copa sul-americana), south america 's secondary club football tournament organized by conmebol.
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011411eafed73fd19dca4f04043f49dce53953a7
the 2014 tim hortons brier was held from
the 2014 tim hortons brier was held from march 1 to 9 at the interior savings centre in kamloops, british columbia. unlike previous years, the winner of the 2014 brier automatically qualified for the 2015 brier as team canada, similarly to the scotties tournament of hearts.
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040c6b497afa9e8c340513e89fd2c3b029215b7d
two member associations will be relegated to a
two member associations will be relegated to a pre-qualifier tournament at the beginning of the 2015 tim hortons brier. the two teams with the lowest combined record from the previous three years will join the yukon and nunavut in the 2015 qualifying round with one team advancing to the brier round robin.
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4c23c3d3434f5a60705dbfe65057550ffd09f964
the 2018–19 all-ireland senior club football championship was
the 2018–19 all-ireland senior club football championship was the 49th annual gaelic football club championship since its establishment in the 1970–71 season. the winners receive the andy merrigan cup. the defending champions were corofin from galway who defeated nemo rangers from cork on 17 march 2018 to win their 3rd title.
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f49e2851d937efd420376b7b1ca9105f368e2171
tg4 continue to broadcast live and deferred club
tg4 continue to broadcast live and deferred club championship games each year. eir sport entered the second year of their agreement to broadcast live gaelic football and hurling club championship games, including county championships, county finals and provincial and all-ireland club championship matches.
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2ebc16b8c31780b1acc3b5f506773f68e922a230
all matches are knock-out. two ten minute periods
all matches are knock-out. two ten minute periods of extra time are played each way if it's a draw at the end of normal time in the semi-finals or final. if the score is still level after extra time the match is replayed.
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ad41cfc34ecf0525ef828473a384f32bed854b02
all matches are knock-out. two ten minute periods
all matches are knock-out. two ten minute periods of extra time are played each way if it's a draw at the end of normal time in all matches including the final. if the score is still level after extra time the match is replayed.
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640b9bd8a4115e39cb26df6a5a2e90e5994c5734
connacht, leinster, munster and ulster each organise a
connacht, leinster, munster and ulster each organise a provincial championship for their participating county champions. the kilkenny senior champions play in the leinster intermediate club football championship. beginning in 2018–19, london compete in the connacht championship. in previous years they played one of the provincial champions in a single match in december referred to as a quarter-final.
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8dadba1b8a1e344a0c3ffc2192e4ca011a811d28
only single club teams are allowed to enter
only single club teams are allowed to enter the all-ireland club championship. if a team which is an amalgamation of two or more clubs, a divisional team or a university team wins a county's championship, a single club team will represent that county in the provincial championship as determined by that county's championship rules. normally it is the club team that exited the championship at the highest stage.
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d8ff3c1df76275b5e22ad72d8d668dc13f1f4be5
all thirty two counties in ireland and london
all thirty two counties in ireland and london play their county senior championships between their top gaelic football clubs. each county decides the format for their county championship. the format can be straight knockout, double-elimination, a league, groups, etc. or a combination.
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f04e9f24ae86b54341c18c6244146287b91d0627
the 2012–13 season was queen of the south's
the 2012–13 season was queen of the south's first season back in the scottish second division after an absence of a decade after the club's relegation from the scottish first division at the end of the 2011–12 season. queens also competed in the challenge cup, league cup and the scottish cup.
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499b5d265865068aecff80d9c912b024f22dad5c
last updated: 5 may 2013 source: competitive match
last updated: 5 may 2013 source: competitive match reports. competitive matches only matches started as captain only country: fifa nationality; no.: squad number; p: position; name: player name; no. games: number of games started as captain.
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40000986f70e5042e9f08d2942fd2b896106ffd4
queen of the south finished first in the
queen of the south finished first in the second division to be crowned champions and were promoted to the scottish championship. the club were also the winners of the challenge cup to complete a historic double for the club and also reached the third round of the league cup and the fourth round of the scottish cup.
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dbe81653812b2f8e2d816431948997bdbd0a1811
the 2012–13 season was queen of the south
the 2012–13 season was queen of the south 's first season back in the scottish second division after an absence of a decade after the club's relegation from the scottish first division at the end of the 2011–12 season. queens also competed in the challenge cup, league cup and the scottish cup.
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224d2efd4e5af05116eff5618bb35b47d71c3dce
argus was a particle physics experiment that ran
argus was a particle physics experiment that ran at the electron–positron collider ring doris ii at the german national laboratory desy. its aim was to explore properties of charm and bottom quarks. its construction started in 1979, the detector was commissioned in 1982 and operated until 1992. the argus detector was a hermetic detector with 90% coverage of the full solid angle. it had drift chambers, a time-of-flight system, an electromagnetic calorimeter and a muon chamber system. the argus experiment was the first experiment that observed the mixing of the b mesons into its antiparticle, the anti-b meson; this was done in 1987. this observation led to the conclusion that the second-heaviest quark – the bottom quark – could under certain circumstances convert into a different, hitherto unknown quark, which had to have a huge mass. this quark, the top quark, was discovered in 1995 at fermilab. the argus distribution is named after the experiment. in 2010, the former site of argus at doris became the location of the olympus experiment.
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fff66814587d62b5383614d4c4a265bfc1730206
the argus experiment was the first experiment that
the argus experiment was the first experiment that observed the mixing of the b mesons into its antiparticle, the anti-b meson; this was done in 1987. this observation led to the conclusion that the second-heaviest quark – the bottom quark – could under certain circumstances convert into a different, hitherto unknown quark, which had to have a huge mass. this quark, the top quark, was discovered in 1995 at fermilab.
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533fce2f56eb153f1eec2226fc4c5f08a06708be
argus (a r ussian- g erman- u nited
argus (a r ussian- g erman- u nited states- s wedish collaboration; later joined by canada and the former yugoslavia) was a particle physics experiment that ran at the electron – positron collider ring doris ii at the german national laboratory desy. its aim was to explore properties of charm and bottom quarks. its construction started in 1979, the detector was commissioned in 1982 and operated until 1992.
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