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id stringlengths 40 40	title stringlengths 15 120	text stringlengths 41 3.14k	source stringclasses 2 values
fbbfa36274ae0924658ae3e2cd6ba1024ed91066	the ligue 1 schedule was announced on 14	the ligue 1 schedule was announced on 14 june 2019. the ligue 1 matches were suspended by the lfp on 13 march 2020 due to covid-19 until further notices. on 28 april 2020, it was announced that ligue 1 and ligue 2 campaigns would not resume, after the country banned all sporting events until september. on 30 april, the...	wikipedia
61f1e1988c32719cc09c6aae33125bde659266bc	the 2019–20 season was stade rennais 's 118th	the 2019–20 season was stade rennais 's 118th season in existence and the club's 26th consecutive season in the top flight of french football. in addition to the domestic league, rennes participated in this season's editions of the trophée des champions, the coupe de la ligue, the uefa europa league and the coupe de fr...	wikipedia
8ee07fb82ffadcb7b2dcd1e933e2847885f5c726	the 2019 j1 league, also known as the	the 2019 j1 league, also known as the 2019 meiji yasuda j1 league for sponsorship reasons, was the 27th season of the j1 league – the top japanese professional league for association football clubs since its establishment in 1992. this was fifth season of j1 league as renamed from j. league division 1. kawasaki frontal...	wikipedia
ccc88b61288d5339ed1801a99ef7173fdc1e25f7	in the first two rounds of the 2019	in the first two rounds of the 2019 j.league j1/j2 play-offs (2019 j1参入プレーオフ), if the score is tied after 90 minutes, no extra time is played and the winner is the team with the best j2 league ranking. in the final match against the j1 team, if the score is tied after 90 minutes, no extra time is played and the j1 team...	wikipedia
36694fd552c7177be53efe0709364a8141633c10	as of 2019 season, there are no more	as of 2019 season, there are no more restrictions on a number of signed foreign players, but clubs can only register up to five foreign players for a single match-day squad. players from j.league partner nations (thailand, vietnam, myanmar, malaysia, cambodia, singapore, indonesia and qatar) are exempt from these restr...	wikipedia
616370d18544f69c3327cdadf2509e8f70e2b99a	a total of 18 clubs contested the league.	a total of 18 clubs contested the league. there were only two changes from 2018, since kashiwa reysol and v-varen nagasaki were relegated to the 2019 j2 league while júbilo iwata defeated tokyo verdy in the promotion/relegation play-off. 2018 j2 league champions matsumoto yamaga returned to the j1 league after three se...	wikipedia
5d64f54bae4f473c68c8d4512cd1d1e634adbca1	the 2019 j1 league, also known as the	the 2019 j1 league, also known as the 2019 meiji yasuda j1 league (japanese: 2019 明治安田生命j1リーグ, hepburn: 2019 meiji yasuda seimei j1 rīgu) for sponsorship reasons, was the 27th season of the j1 league – the top japanese professional league for association football clubs since its establishment in 1992. this was fifth se...	wikipedia
39d1c86c0a35be49895566dccc6898c07b50e3b1	milan did not make it through the lombard	milan did not make it through the lombard qualifying round and were eliminated by us milanese thanks to a 3–1 defeat. on 10 january 1909, on the previous game of such qualifying round, the first official derby between milan and inter was played, at campo milan in porta monforte, which saw the rossoneri win 3-2 thanks t...	wikipedia
e623b62bc67c77ca7e7c3c0612d3d57116fa5fdf	the 1970 1000km of nürburgring was an endurance	the 1970 1000km of nürburgring was an endurance race held at the nürburgring nordschleife, nürburg, west germany on may 31, 1970. it was the seventh round of the 1970 world sportscar championship season.	wikipedia
20617060c17cc0b39203841c47d467fa70fdd720	this would be the last ever major international	this would be the last ever major international race on the original nürburgring with no safety features on it. for the next year's race, the nordschleife was rebuilt, which included making the surface smoother and lining the circuit with armco and adding run-off areas wherever possible. the german grand prix that year...	wikipedia
3226eed1ef76de6b9b10ad1e52ead271b711686e	at the start rodriguez went ahead and siffert,	at the start rodriguez went ahead and siffert, the pole sitter, was also overtaken by giunti's ferrari. this allowed rodriguez to get a good lead. at the second lap siffert, who had a hard time getting around giunti and even waved his fist at him, managed to overtake him and endeavoured to regain first place. he was fa...	wikipedia
64a7bef50037f19e25f1fb7952db29f41e1ec8e1	qualifying was dominated by works porsches. they took	qualifying was dominated by works porsches. they took the first four positions on the grid with the pole position time only a second slower than the time set by ickx for the 1969 german grand prix; pole position went to the jo siffert/brian redman car, followed by pedro rodriguez/leo kinnunen, vic elford/kurt ahrens jr...	wikipedia
bf501eeae41ba520086ab49111e1cd5830104f63	one of the works ferrari 512s spyders, entered	one of the works ferrari 512s spyders, entered and to be driven by jacky ickx and peter schetty crashed in practice; neither driver took part in the race. this just about proved to be fatal for ferrari, because ickx was considered to be the best nürburgring driver in the world at that time, next to formula one world ch...	wikipedia
8b7ddf9f439f56fa4e29da6bd93e10d4d7cba148	it was agreed upon by john wyer and	it was agreed upon by john wyer and porsche that the works teams would use the 908/03, the car used at the targa florio. the light and nimble 908/03 was better suited to the twisty and demanding nürburgring than the big and powerful 917k. two were run by john wyer's team and two were run by porsche salzburg.	wikipedia
f87ad6d02d371395509af3497452ce38a93a7740	the race weekend was marred by the fatal	the race weekend was marred by the fatal accident of finnish driver hans laine in a porsche 908/02. while attempting to qualify for the race at the end of saturday's qualifying session, laine damaged one of the front sections of his car; and while he was on the dottinger hohe straight going at full speed over one of th...	wikipedia
e623b62bc67c77ca7e7c3c0612d3d57116fa5fdf	the 1970 1000km of nürburgring was an endurance	the 1970 1000km of nürburgring was an endurance race held at the nürburgring nordschleife, nürburg, west germany on may 31, 1970. it was the seventh round of the 1970 world sportscar championship season.	wikipedia
643cd078235b9dbb1c7b7329bf07cb9d3f2f5158	in mathematics, an adjoint bundle is a vector	in mathematics, an adjoint bundle is a vector bundle naturally associated to any principal bundle. the fibers of the adjoint bundle carry a lie algebra structure making the adjoint bundle into a (nonassociative) algebra bundle. adjoint bundles have important applications in the theory of connections as well as in gauge...	wikipedia
d73594263846358b5a1690e5344939ee0cb8049c	if p = f (e) {\displaystyle p={\mathcal {f}}(e)}	if p = f (e) {\displaystyle p={\mathcal {f}}(e)} is the frame bundle of a vector bundle e → m {\displaystyle e\to m}, then p {\displaystyle p} has fibre the general linear group gl (r) {\displaystyle \operatorname {gl} (r)} (either real or complex, depending on e {\displaystyle e}) where rank (e) = r {\displaystyle \op...	wikipedia
3b4a1260c261bac6b3aa806b97ff812c3136be19	the space of sections of the adjoint bundle	the space of sections of the adjoint bundle is naturally an (infinite-dimensional) lie algebra. it may be regarded as the lie algebra of the infinite-dimensional lie group of gauge transformations of p which can be thought of as sections of the bundle p × c o n j g {\displaystyle p\times _{\mathrm {c} onj}g} where conj...	wikipedia
66a5ca89307a128b012027a32ae6ff9ae01b291d	differential forms on m with values in a	differential forms on m with values in a d p {\displaystyle \mathrm {ad} p} are in one-to-one correspondence with horizontal, g -equivariant lie algebra-valued forms on p. a prime example is the curvature of any connection on p which may be regarded as a 2-form on m with values in a d p {\displaystyle \mathrm {ad} p}.	wikipedia
bab0d1780eb5264e8394c065d4812f239dfb296a	since h is a closed subgroup of the	since h is a closed subgroup of the lie group g, the homogeneous space m=g/h is the base space of a principal bundle g → m {\displaystyle g\to m} with total space g and structure group h. so the existence of h-valued transition functions g i j: u i ∩ u j → h {\displaystyle g_{ij}:u_{i}\cap u_{j}\rightarrow h} is assure...	wikipedia
3738aac27ad8cab79f79225a78552530670e9a3e	also h acts as a topological transformation group	also h acts as a topological transformation group on g {\displaystyle {\mathfrak {g}}}. for every h in h, a d \| h (h): g ↦ g {\displaystyle ad\vert _{h}(h):{\mathfrak {g}}\mapsto {\mathfrak {g}}} is a lie algebra automorphism.	wikipedia
9d2bc2a6aed1a65f9ddca7a1bc0131d16cd1de5a	a d \| h: h ↪ g →	a d \| h: h ↪ g → a u t (g) {\displaystyle \mathrm {ad\vert _{h}}:h\hookrightarrow g\to \mathrm {aut} ({\mathfrak {g}})}	wikipedia
333ca05295494bc125ff8b3118e990a8dace628b	let g be any lie group with lie	let g be any lie group with lie algebra g {\displaystyle {\mathfrak {g}}}, and let h be a closed subgroup of g. via the (left) adjoint representation of g on g {\displaystyle {\mathfrak {g}}}, g becomes a topological transformation group of g {\displaystyle {\mathfrak {g}}}. by restricting the adjoint representation of...	wikipedia
f55db1114ca42880fc88b9b1fca2b25f8072acc9	the adjoint bundle is also commonly denoted by	the adjoint bundle is also commonly denoted by g p {\displaystyle {\mathfrak {g}}_{p}}. explicitly, elements of the adjoint bundle are equivalence classes of pairs for p ∈ p and x ∈ g {\displaystyle {\mathfrak {g}}} such that	wikipedia
643cd078235b9dbb1c7b7329bf07cb9d3f2f5158	in mathematics, an adjoint bundle is a vector	in mathematics, an adjoint bundle is a vector bundle naturally associated to any principal bundle. the fibers of the adjoint bundle carry a lie algebra structure making the adjoint bundle into a (nonassociative) algebra bundle. adjoint bundles have important applications in the theory of connections as well as in gauge...	wikipedia
207d83097af74272da8de12c3c0d982ebd8808fe	the awgie award for music theatre is awarded	the awgie award for music theatre is awarded by the australian writers guild at the annual awgie awards for australian performance writing. the award is for the script/text, lyrics or book of works written for the theatre in which music plays an integral part, such as opera libretti, musicals, revue, musical theatre, t...	wikipedia
72cf5df635fe410a3ebc5fb565f693fa85736cf6	the award is for the script/text, lyrics or	the award is for the script/text, lyrics or book of works written for the theatre in which music plays an integral part, such as opera libretti, musicals, revue, musical theatre, theatre restaurant and original cabaret. to be eligible, works must have had their first formal production in the previous year.	wikipedia
5b6fd523a78489a3e139e08a34467c3c7b6dda0a	abraham hans oort is a dutch-born american climatologist.	abraham hans oort is a dutch-born american climatologist. oort is the son of the dutch astronomer jan hendrik oort. he moved to the united states in 1961. since 1971, oort was professor at princeton university, where from 1977 until his retirement in 1996 he worked at the geophysical fluid dynamics laboratory/noaa. oor...	wikipedia
ec499cd7f239a4454a08af5819bf75f83fbe5508	oort is the son of the dutch astronomer	oort is the son of the dutch astronomer jan hendrik oort. he moved to the united states in 1961. since 1971, oort was professor at princeton university, where from 1977 until his retirement in 1996 he worked at the geophysical fluid dynamics laboratory / noaa. oort is best known for his textbook, physics of climate, wr...	wikipedia
ce50edb7051a3094510cd71018644d3c6adb0826	adnan Čaušević is a norwegian footballer who plays	adnan Čaušević is a norwegian footballer who plays as a defender for finnsnes il. bosnian-born adnan was granted norway citizenship. Čaušević was born in prijedor. he played for vard haugesund before he joined tromsø il ahead of the 2013 season. after a decent stint there, he moved back south to play for bryne. in the ...	wikipedia
47afa9ba1907aeb0402f4d22fdabb0f437d9a056	Čaušević was born in prijedor. he played for	Čaušević was born in prijedor. he played for vard haugesund before he joined tromsø il ahead of the 2013 season. after a decent stint there, he moved back south to play for bryne.	wikipedia
92096136fe4a0fdfc63a3642be7f905f72fec8f0	the 1901 pittsburgh pirates finished in first place	the 1901 pittsburgh pirates finished in first place in the national league, 7½ games ahead of the second-place philadelphia phillies. it was the first year that the american league operated as a major league, but there would be no world series between the leagues until 1903. the team was managed by fred clarke, who was...	wikipedia
4803be18ba4148d984ffa8f8621dbdc669104471	the pitching staff of the pirates allowed the	the pitching staff of the pirates allowed the fewest runs in the league and was among the greatest ever. the four top starting pitchers – deacon phillippe, jack chesbro, jesse tannehill, and sam leever – were the four top pitchers in the national league in terms of winning percentage. all of them were in the top ten in...	wikipedia
4a76fe8dff242a71f2d00dfd3ee93b7dbf9341d0	the pirates were led offensively by honus wagner,	the pirates were led offensively by honus wagner, who led the league in rbi and stolen bases. although the "flying dutchman" had never played shortstop in the majors until 1901, he appeared 61 times at shortstop that year in addition to spending time at third base and the outfield.	wikipedia
a8102d3fed2160faf5466adbfdc126d977c3fe12	the team was managed by fred clarke, who	the team was managed by fred clarke, who was also their starting left fielder. clarke, in his fifth year as a manager at age 28, won his first pennant. the pirates won the national league championship in the next two years as well.	wikipedia
a19f11838a72ee58608679001014b32dfdd10511	the 1901 pittsburgh pirates finished in first place	the 1901 pittsburgh pirates finished in first place in the national league, 7½ games ahead of the second-place philadelphia phillies. it was the first year that the american league operated as a major league, but there would be no world series between the leagues until 1903.	wikipedia
8209d17067001d92aaeb69bc54e34d15fae9f464	the 2015–16 season is inter's 27th consecutive season	the 2015–16 season is inter's 27th consecutive season in the primera division de futbol in their 38th year in existence. this season inter participate in the primera division, copa del rey, copa de españa, and the uefa futsal cup. the season covers the period from 11 september 2015 to 30 april 2016.	wikipedia
0fd9fa95243ab634607323cdc00198c45d624a89	the hosts of the final tournament was selected	the hosts of the final tournament was selected by uefa from the four qualified teams on 11 december 2015 and will be staged by inter fs at the palacio multiusos de guadalajara in guadalajara on 21 or 22 and 23 or 24 april 2016. the draw for the final tournament will be held in spring 2016 at the host city. the four tea...	wikipedia
50c86d0fdfafb1d3cacde2484c390067181d9926	the 2015–16 uefa futsal cup is the 30th	the 2015–16 uefa futsal cup is the 30th edition of europe's premier club futsal tournament, and the 15th edition under the current uefa futsal cup format organized by uefa. qualifying rounds started on 25 august 2015. inter movistar entered the competition in the elite round which started on 12 november 2015.	wikipedia