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id stringlengths 40 40	title stringlengths 15 120	text stringlengths 41 3.14k	source stringclasses 2 values
2ccc596ea42e78dc25304ffd134f35a884dc0072	the men's tournament in ice hockey at the	the men's tournament in ice hockey at the 2019 canada winter games was held in red deer, alberta between february 16 and 22, 2019. thirteen provinces and territories competed in the tournament, including nunavut participating for the first time.	wikipedia
682fbea3b4c3eb61d43d7a4f3981b290905e41cc	karim koceila yanis ziani is a former professional	karim koceila yanis ziani is a former professional footballer. he played in different midfield positions but was best known as a playmaker. born in france, he represented algeria at international level. ziani is considered a national hero by many algerians as it was his cross that led to the goal that put algeria into ...	wikipedia
eb1f2701b2338620f2a00eee90f08783b5ced0eb	ziani was born in sèvres, france to an	ziani was born in sèvres, france to an algerian father from béjaïa and a french mother. ziani is married and has two children: a girl, lina and a boy, kaïs. ziani has a twin sister by the name of karima who is married to fellow algerian international antar yahia.	wikipedia
a4bac8551edb3cec4b00b9f4c43e382d13f1632a	ziani scored his first goal in a 1–0	ziani scored his first goal in a 1–0 win against the gambia in the 2008 africa cup of nations qualification phase. he then added two more goals to his tally in a 3–0 win against liberia in the 2010 fifa world cup qualifiers as algeria advanced to the final tournament in south africa. he also performed well at the 2010 ...	wikipedia
ab658104f611d728aec2839da0ef8af74025d431	ziani made his debut for the algerian national	ziani made his debut for the algerian national team in 2003 when he was called up by belgian caretaker georges leekens for a friendly against belgium. he represented algeria at the 2004 africa cup of nations, as they finished second in their group before losing to morocco in the quarter-finals. he was also named in tha...	wikipedia
6ff03258ba16a58e866369216a2af3ae80f7b802	on 20 july 2011, ziani signed a three-year	on 20 july 2011, ziani signed a three-year contract with qatari club el jaish. on 18 september 2009, ziani made his qatar stars league debut for el jaish as a starter in a league game against al khor. although he failed to find the net in his first season, he finished the 2011–12 season as the top assistant with 13 ass...	wikipedia
2ac8e043850c73ae9d2a20b9330b8cdb45e7be30	during december 2010 and january 2011, a number	during december 2010 and january 2011, a number of clubs showed interest in signing ziani, these were newcastle united, as monaco, fc lorient, vfb stuttgart, everton, and birmingham city. on 14 january 2011, it was reported that ziani had moved to turkish high-flyers kayserispor on an initial six-month loan deal, with ...	wikipedia
737a97bc9122f3477524a2216aa13a0c3b67f375	the following summer, ziani saw increasing attention from	the following summer, ziani saw increasing attention from other french clubs, namely olympique de marseille. this interest culminated on 29 june 2007, when news broke that ziani had finalized his move to marseille for a transfer fee of $11 million. karim scored his first goal with marseille in a match against valencien...	wikipedia
7bff074e7ba44d1a7828ea2a95073e66d1a05986	in the summer of 2006, ziani signed a	in the summer of 2006, ziani signed a three-year deal with fc sochaux and reunited with his first coach at troyes alain perrin. while at sochaux he played as they won the 2007 coupe de france final. the game finished 2–2 and went to penalties, and he scored his penalty in the shootout as his side emerged victorious.	wikipedia
7ec0e843a701bdbebef135c091d9293ced1ffa3c	in the summer of 2004, ziani was loaned	in the summer of 2004, ziani was loaned out to fc lorient. in the next two seasons he would become lorient 's top player and would lead them to promotion to ligue 1. he was voted as the top player in ligue 2 for the 2005–06 season.	wikipedia
eaffea4f819c8091384f8e83773308c7a43b62dd	in 1998, ziani was spotted by scouts from	in 1998, ziani was spotted by scouts from troyes and was subsequently brought into their youth academy. playing for the youth team there garnered a significant amount of keen admirers interested in him, including the likes of lens and nantes. in 2001, having spent three seasons playing with the youth team and because o...	wikipedia
47a73b00277eaca483a707b706e868246b160b15	in 1998, ziani was spotted by scouts from	iani had put in a condition which rivaspor rejected. ziani revealed the condition merely as having madjid bougherra have a trial with the club to display his qualities as they had both travelled to turkey and ziani would have liked a compatriot with him at the club as he was only 19 at the time. when rivaspor rejected ...	wikipedia
58fd7a677bfd12bf662c1ac3ff14c0395cf1022b	ziani is considered a national hero by many	ziani is considered a national hero by many algerians as it was his cross that led to the goal that put algeria into their first world cup since 1986 at the expense of bitter rivals egypt. he played at the 2004 and 2010 africa cup of nations, the latter in which algeria finished fourth and the 2010 fifa world cup in so...	wikipedia
df6713a5bfb954219cb5924af863f6749f39a664	karim koceila yanis ziani (arabic: كريم زياني; born	karim koceila yanis ziani (arabic: كريم زياني; born 17 august 1982) is a former professional footballer. he played in different midfield positions but was best known as a playmaker. born in france, he represented algeria at international level.	wikipedia
372f01fe6887b40d6ad7ee21cbb0d4d65cdf63c9	in numerical analysis, a branch of applied mathematics,	in numerical analysis, a branch of applied mathematics, the midpoint method is a one-step method for numerically solving the differential equation, the explicit midpoint method is given by the formula the implicit midpoint method by for n = 0 , 1 , 2 , … here, h is the step size — a small positive number, t n = t 0 + n...	wikipedia
4da7276cd344c6e9d517f9a944405e72e93a85e7	in numerical analysis, a branch of applied mathematics,	's method to estimate the value of y at the midpoint, then computing the slope of the tangent with f . finally, the improved tangent is used to calculate the value of y n + 1 from y n . this last step is represented by the red chord in the diagram. note that the red chord is not exactly parallel to the green segment, d...	wikipedia
1a975637f0dc8245187e774dae2a95f9314abd1d	because of the time symmetry of the implicit	because of the time symmetry of the implicit method, allterms of even degree in h {\displaystyle h} of the local error cancel, so that the local error is automatically of order o (h 3) {\displaystyle {\mathcal {o}}(h^{3})}. replacing the implicit with the explicit euler method in the determination of k {\displaystyle k...	wikipedia
45bfc4de68859743ab684b930e87f027f9ca5b37	inserting the approximation y n + h k	inserting the approximation y n + h k {\displaystyle y_{n}+h\,k} for y (t n + h) {\displaystyle y(t_{n}+h)} results in the implicit runge-kutta method	wikipedia
b161a8968041c8d30d62677b1d480a8810b28bbc	the implicit method (1i) is obtained by approximating	the implicit method (1i) is obtained by approximating the value at the half step t + h / 2 {\displaystyle t+h/2} by the midpoint of the line segment from y (t) {\displaystyle y(t)} to y (t + h) {\displaystyle y(t+h)}	wikipedia
fa3a9129e0567702c63686ef7eb83f722a545298	one cannot use this equation to find y	one cannot use this equation to find y (t + h) {\displaystyle y(t+h)} as one does not know y {\displaystyle y} at t + h / 2 {\displaystyle t+h/2}. the solution is then to use a taylor series expansion exactly as if using the euler method to solve for y (t + h / 2) {\displaystyle y(t+h/2)}:	wikipedia
34b03779b9f7a69fb70dd699e469299b836ba70b	the local error at each step of the	the local error at each step of the midpoint method is of order o (h 3) {\displaystyle o\left(h^{3}\right)}, giving a global error of order o (h 2) {\displaystyle o\left(h^{2}\right)}. thus, while more computationally intensive than euler's method, the midpoint method's error generally decreases faster as h → 0 {\displ...	wikipedia
2132c8e9af433757fa44fd0f709336b7eb4ff3ef	a geometric interpretation may give a better intuitive	a geometric interpretation may give a better intuitive understanding of the method (see figure at right). in the basic euler's method, the tangent of the curve at (t n, y n) {\displaystyle (t_{n},y_{n})} is computed using f (t n, y n) {\displaystyle f(t_{n},y_{n})}. the next value y n + 1 {\displaystyle y_{n+1}} is fou...	wikipedia
09e283bb5aad385f6abf880b71e71d23bacf4c44	the name of the method comes from the	the name of the method comes from the fact that in the formula above, the function f {\displaystyle f} giving the slope of the solution is evaluated at t = t n + h / 2 = t n + t n + 1 2, {\displaystyle t=t_{n}+h/2={\tfrac {t_{n}+t_{n+1}}{2}},} the midpoint between t n {\displaystyle t_{n}} at which the value of y (t) {...	wikipedia
8321d159707bb2e4496c06b47b5283b2e341ce99	for n = 0, 1, 2, … {\displaystyle	for n = 0, 1, 2, … {\displaystyle n=0,1,2,\dots } here, h {\displaystyle h} is the step size — a small positive number, t n = t 0 + n h, {\displaystyle t_{n}=t_{0}+nh,} and y n {\displaystyle y_{n}} is the computed approximate value of y (t n). {\displaystyle y(t_{n}).} the explicit midpoint method is sometimes also kn...	wikipedia
eae4fe0ed6f17bde35180ba0a5fa8dbe74080a4f	ajayan then joined sbt in 2000 where he	ajayan then joined sbt in 2000 where he played for the 4 years. then in 2004–05 he played for vasco s.c. in 2005, he signed for mahindra united and was the captain of the mahindra united football team until the club was closed down in 2010. later, he transferred to pune f.c. in 2011, he switched to chirag united club k...	wikipedia
4aa062ede6371d67c5e38d44f37652c2e9e1e5c2	in fiscal 2019, the jr portion of the	in fiscal 2019, the jr portion of the station was used by an average of 13,586 passengers daily (boarding passengers only). the hitachinaka seaside railway station was used by an average of 834 passengers daily in fiscal 2011. the jr east passenger figures for previous years are as shown below.	wikipedia
0310d9d8e8587f88144395e83902bb4cc7558e34	the jr east (formerly jnr) katsuta station opened	the jr east (formerly jnr) katsuta station opened on 18 march 1910. the hitachinaka seaside railway (formerly minato railway) station opened on 25 december 1913. the station was absorbed into the jr east network upon the privatization of japanese national railways (jnr) on 1 april 1987.	wikipedia
3d4ddcf9ca33fd65d6420cfb3bcfa8baa2a35a07	katsuta station is served by the jōban line	katsuta station is served by the jōban line from ueno in tokyo, and is located 121.1 km from the official starting point of the line at nippori station. it is also the terminus of the 14.3 km single-track hitachinaka seaside railway minato line to ajigaura.	wikipedia
d382238c1c05d286bdb3cd987419bf56ab05da4d	katsuta station (勝田駅, katsuta-eki) is a junction passenger	katsuta station (勝田駅, katsuta-eki) is a junction passenger railway station inn the city of hitachinaka, ibaraki, japan, operated by east japan railway company (jr east) and the third-sector railway operator hitachinaka seaside railway.	wikipedia
d083c3a97a45b0c4ca57a272f7844f7764ce810e	miloš stanojević (serbian cyrillic: Милош Станојевић; born 20	miloš stanojević (serbian cyrillic: Милош Станојевић; born 20 november 1993) is a serbian professional footballer who plays as a midfielder for jedinstvo.	wikipedia
987b0b7befc7e6795a54ca2b3a54fef64a3609bd	ichigao station is served by the tōkyū den-en-toshi	ichigao station is served by the tōkyū den-en-toshi line from shibuya in tokyo to chūō-rinkan in kanagawa prefecture. it is 20.6 kilometers from the terminus of the line at shibuya.	wikipedia
b3bca0335fb0d17cb7a62ff7e9593fc346ea5a1f	ichigao station (市が尾駅, ichigao-eki) is a passenger railway	ichigao station (市が尾駅, ichigao-eki) is a passenger railway station located in aoba-ku, yokohama, kanagawa prefecture, japan, operated by the private railway company tokyu corporation.	wikipedia
b432682adb26ae65df649ac7b7398f213d868331	a mountain stream is a brook or stream,	a mountain stream is a brook or stream, usually with a steep gradient, flowing down a mountainside. its swift flow rate often transports large quantities of rock, gravel, soil, wood or even entire logs with the stream. the main characteristic of mountain streams in the alpine region is their steep gradient and sharply ...	wikipedia
c6ff18830a2e1563cad3bc7cd479dec184cf4328	mountain streams may be broadly divided into three	mountain streams may be broadly divided into three sections. in the " catchment funnel " (sammeltrichter) high on the mountainsides, water and eroded soil, rock and gravel are gathered. the stream then flows at high speed through a " drainage channel " (abflussrinne) into the " alluvial fan " where the transported debr...	wikipedia
3dcd12b3ce36b71a744ad162e854f1fb88dc37cc	a mountain stream is a brook or stream,	a mountain stream is a brook or stream, usually with a steep gradient, flowing down a mountainside. its swift flow rate often transports large quantities of rock, gravel, soil, wood or even entire logs with the stream. the main characteristic of mountain streams in the alpine region is their steep gradient and sharply ...	wikipedia
fdbc6fbd875c8439f925405e4586da733f413e2f	ilya vladimirovich nikulin is a russian former professional	ilya vladimirovich nikulin is a russian former professional ice hockey defenceman. he played for hc dynamo moscow and ak bars kazan in the kontinental hockey league (khl). nikulin was drafted by the atlanta thrashers in the second round, 31st overall in the 2000 nhl entry draft.	wikipedia
0b06e49c6f8a7b421d9e08739d12b747c0b5ede1	nikulin has played for team russia. he competed	nikulin has played for team russia. he competed at the 1999 under-18 championship, earned a silver medal at the 2000 world junior championship, a bronze at the 2007 world championship, a silver at the 2010 world championship and a gold at the 2008, 2009 and 2012 iihf world championships. he was selected to the 2010 rus...	wikipedia
ddce630ab844f727bb0ed46aaf2ed029c6a6cfad	later that year, nikulin began his professional career	later that year, nikulin began his professional career in the russian superleague (rsl) with dynamo moscow. he played with dynamo for five seasons. in 2005, he joined ak bars kazan. his five-year contract with kazan included allowing him to leave for the nhl. however, after negotiations in 2008 and 2009, nikulin did no...	wikipedia
ce1d7e72890d8424ab51e8f4df2cdddb3c41510a	ilya vladimirovich nikulin (russian: Илья Владимирович Никулин; born	ilya vladimirovich nikulin (russian: Илья Владимирович Никулин; born 12 march 1982) is a russian former professional ice hockey defenceman. he played for hc dynamo moscow and ak bars kazan in the kontinental hockey league (khl). nikulin was drafted by the atlanta thrashers in the second round, 31st overall in the 2000 ...	wikipedia
35cb5e6f7dbf41a771c9b9922964bc644ba02a82	in mathematics, an invertible sheaf is a sheaf	in mathematics, an invertible sheaf is a sheaf on a ringed space which has an inverse with respect to tensor product of sheaves of modules. it is the equivalent in algebraic geometry of the topological notion of a line bundle. due to their interactions with cartier divisors, they play a central role in the study of alg...	wikipedia