OpenLLM-France/wikimedia huggingface dataset:
# 2015 World Single Distance Speed Skating Championships – Men's team pursuit

The Men's team pursuit race of the 2015 World Single Distance Speed Skating Championships was held on 13 February 2015.

## Results

The race was started at 21:35.
| Rank | Pair | Lane | Country | Time | Diff |
| | 3 | o | NED | 3:41.40 | |
| | 2 | o | CAN | 3:44.09 | +2.69 |
| | 3 | i | KOR | 3:44.96 | +3.56 |
| 4 | 2 | i | RUS | 3:46.78 | +5.38 |
| 5 | 4 | i | ITA | 3:47.07 | +5.67 |
| 6 | 4 | o | POL | 3:48.94 | +7.54 |
| 7 | 1 | i | NOR | 3:50.58 | +9.18 |
| 8 | 1 | o | GER | 3:50.76 | +9.36 |
# 2015 World Single Distance Speed Skating Championships – Men's mass start

The Men's mass start race of the 2015 World Single Distance Speed Skating Championships was held on 15 February 2015.

## Results

The race was started at 16:04.
| Rank | Name | Country | Time | Points |
| | Arjan Stroetinga | NED | 7:30.64 | 60 |
| | Fabio Francolini | ITA | 7:30.70 | 40 |
| | Alexis Contin | FRA | 7:30.72 | 20 |
| 4 | Haralds Silovs | LAT | 8:02.21 | 8 |
| 5 | Andrea Giovannini | ITA | 7:56.00 | 6 |
| 6 | Peter Michael | NZL | 7:41.43 | 5 |
| 7 | Tyler Derraugh | CAN | 7:46.71 | 3 |
| 8 | Jeffrey Swider-Peltz | USA | 7:58.12 | 3 |
| 9 | Marco Weber | GER | 7:35.82 | 1 |
| 10 | Shane Williamson | JPN | 8:04.67 | 1 |
| 11 | Bart Swings | BEL | 7:30.83 | 0 |
| 12 | Lee Seung-hoon | KOR | 7:31.29 | 0 |
| 13 | Kim Cheol-min | KOR | 7:31.81 | 0 |
| 14 | Håvard Bøkko | NOR | 7:33.16 | 0 |
| 15 | Sun Longjiang | CHN | 7:33.19 | 0 |
| 16 | Patrick Beckert | GER | 7:34.04 | 0 |
| 17 | Robert Watson | CAN | 7:36.66 | 0 |
| 18 | Ryosuke Tsuchiya | JPN | 7:38.89 | 0 |
| 19 | Jorrit Bergsma | NED | 7:44.99 | 0 |
| 20 | Yevgeny Seryaev | RUS | 7:51.88 | 0 |
| 21 | Armin Hager | AUT | 7:56.35 | 0 |
| 22 | Roland Cieślak | POL | 7:59.40 | 0 |
| 23 | Danila Semerikov | RUS | 7:07.34 | 0 |
| 24 | Bram Smallenbroek | AUT | 4:33.77 | 0 |
# Elías Escalona

Elías Mauricio Escalona Albornoz (born 22 November 1973) is a Chilean former professional footballer who played as an attacking midfielder for clubs in Chile and Colombia.

## Career

A product of Huachipato youth system, he made appearances from 1992 to 1994.
In second half 1994, he moved to Colombia and joined Cortuluá in the top division with Reinaldo Rueda as coach. In the squad, he coincided with his compatriots Carlos Molina (1994–2000) and Fabián Campos (1996), who came from Huachipato.
He also had stints on loan at Huachipato (1996), Atlético Huila (1998), Deportes Iquique (1998) and Deportes Puerto Montt (2000).
In his last seasons, he played for Deportes Talcahuano and retired in 2003.
At international level, he represented Chile at under-20 level in the 1992 South American Championship, alongside successful players such as Marcelo Salas, Clarence Acuña and Francisco Rojas.

## Personal life

Escalona has worked in the administrative area of ASMAR, a Chilean state-owned shipbuilding company.
# Rolando Santelices

David Rolando Santelices Rodríguez (born 23 March 1971), known as Rolando Santelices, is a Chilean football manager and former player who played as a forward. Santelices also played in Ecuador.

## Playing career

As a youth player, Santelices was with club Estudiante Independiente before joining the Everton de Viña del Mar youth system. After becoming a free agent, he began his professional career with Ñublense in the Chilean second level in 1991.
The next season, he returned to Everton, also playing for them in 1994 and 1995 in the Chilean top division.
In 1995 he moved to Ecuador and joined Liga de Quito recommended by Luis Santibáñez, who had coached him in Everton. In that club, he coincided with his compatriot Adolfo Ovalle and made fourteen appearances with eight goals.
In his homeland, he also played for Palestino and Deportes Melipilla.
His last club was Santiago Wanderers, the classic rival of Everton, in 1999, getting the promotion to the top division.

## Coaching career

As a football manager, he led Provincial Marga Marga in the Chilean Tercera B.
The next season, he worked for the Everton youth system and served as one of the four assistants of the interim coach, Carlos Medina.
He also owns a football academy based in Valparaíso Sporting Club.

## Personal life

His younger brother, Álex, also was a footballer who played for Everton and Santiago Wanderers.
Outside of football, he and his wife devote time in horseracing, a family passion from his grandfather of the same name, David.
# Stopped process

In mathematics, a stopped process is a stochastic process that is forced to assume the same value after a prescribed (possibly random) time.

## Definition

Let
* $(\Omega ,{\mathcal {F}},\mathbb {P} )$ be a probability space;
* $(\mathbb {X} ,{\mathcal {A}})$ be a measurable space;
* $X:[0,+\infty )\times \Omega \to \mathbb {X}$ be a stochastic process;
* $\tau :\Omega \to [0,+\infty ]$ be a stopping time with respect to some filtration $\{{\mathcal {F}}_{t}|t\geq 0\}$ of ${\mathcal {F}}$.
Then the stopped process $X^{\tau }$ is defined for $t\geq 0$ and $\omega \in \Omega$ by
    $X_{t}^{\tau }(\omega ):=X_{\min\{t,\tau (\omega )\}}(\omega ).$

## Examples
### Gambling

Consider a gambler playing roulette. X$_t$ denotes the gambler's total holdings in the casino at time t ≥ 0, which may or may not be allowed to be negative, depending on whether or not the casino offers credit. Let Y$_t$ denote what the gambler's holdings would be if he/she could obtain unlimited credit (so Y can attain negative values).
* Stopping at a deterministic time: suppose that the casino is prepared to lend the gambler unlimited credit, and that the gambler resolves to leave the game at a predetermined time T, regardless of the state of play. Then X is really the stopped process Y$^T$, since the gambler's account remains in the same state after leaving the game as it was in at the moment that the gambler left the game.
* Stopping at a random time: suppose that the gambler has no other sources of revenue, and that the casino will not extend its customers credit. The gambler resolves to play until and unless he/she goes broke. Then the random time
    $\tau (\omega ):=\inf\{t\geq 0|Y_{t}(\omega )=0\}$
is a stopping time for Y, and, since the gambler cannot continue to play after he/she has exhausted his/her resources, X is the stopped process Y$^τ$.

### Brownian motion

Let $B:[0,+\infty )\times \Omega \to \mathbb {R}$ be a one-dimensional standard Brownian motion starting at zero.
* Stopping at a deterministic time $T>0$: if $\tau (\omega )\equiv T$, then the stopped Brownian motion $B^{\tau }$ will evolve as per usual up until time $T$, and thereafter will stay constant: i.e., $B_{t}^{\tau }(\omega )\equiv B_{T}(\omega )$ for all $t\geq T$.
* Stopping at a random time: define a random stopping time $\tau$ by the first hitting time for the region $\{x\in \mathbb {R} |x\geq a\}$:
       $\tau (\omega ):=\inf\{t>0|B_{t}(\omega )\geq a\}.$
Then the stopped Brownian motion $B^{\tau }$ will evolve as per usual up until the random time $\tau$, and will thereafter be constant with value $a$: i.e., $B_{t}^{\tau }(\omega )\equiv a$ for all $t\geq \tau (\omega )$.
# Miguel Ángel Castillo

Miguel Ángel Castillo Sanhueza (born 25 August 1972) is a Chilean former professional footballer who played as a midfielder for clubs in Chile, Mexico and Bolivia.

## Club career

A left-foot midfielder, Castillo is a product of Palestino youth system, playing for the club in three stints, scoring a total of 34 goals.
In Chile he also played for Huachipato, Unión San Felipe and Deportes La Serena in the Chilean Primera División. In the Primera B, he played for Colchagua, Naval and San Luis de Quillota.
Abroad, he played for the Mexican club León and the Bolivian club Jorge Wilstermann.

## International career

In 2001, Castillo made an appearance for the Chile national team in the 2002 FIFA World Cup qualification match against Bolivia on 14 August.

## Coaching career

He worked as manager of San Bernardo Unido in the Chilean Tercera B from 2015 to 2017.
# Ítalo Díaz

Ítalo Andrés Díaz Muñoz (Spanish pronunciation:, born 21 June 1971) is a Chilean former footballer and current manager. His last team coached was Deportes Santa Cruz.
His oldest son Paulo plays as centre back for Argentine Primera División club San Lorenzo. His younger son Nicolas plays for Palestino.
# Fernando Vergara

Luis Fernando Vergara Meyland (born 13 May 1970), known as Fernando Vergara, is a Chilean football coach and former player. Nicknamed El Zamorano de los Pobres during his career, he played as a forward.

## Playing career

A product of Audax Italiano youth system, in 1990 he played for Swiss side FC Brüttisellen-Dietlikon before returning to Chile and joining Universidad de Chile.
In 1997, he had a trial with English Premier League club Crystal Palace and then had talks with Everton, but nothing came of either of these approaches and Vergara never played a competitive game in England.
Vergara obtained a total number of six caps for the Chile national team, scoring three goals between 1996 and 1997.

## Managerial career

Following his playing career, Vergara became a football manager and led Huachipato FC to the quarter-finals in the 2008 Torneo Clausura.
In 2021–22, he led Universidad de Concepción in the Primera B de Chile.

## Other works

From 2009 to 2010 Vergara worked as a football commentator for the channel Canal del Fútbol.
He has served as coach for a football academy which helps children to play in the United States. He also has a sporting events production company.
Since March 2024, he performs as co-host of the program Fútbol y Parrilla (Football and Grill) on YouTube alongside the former footballer Ian Mac-Niven.

## Career statistics

| # | Date | Venue | Opponent | Score | Result | Competition |
| 1. | 4 January 1997 | Estadio Sausalito, Viña del Mar, Chile | Armenia | 7–0 | Win | Friendly |
| 2. | 4 January 1997 | Estadio Sausalito, Viña del Mar, Chile | Armenia | 7–0 | Win | Friendly |
| 3. | 17 June 1997 | Estadio Félix Capriles, Cochabamba, Bolivia | Ecuador | 2–1 | Loss | 1997 Copa América |
| Correct as of 7 October 2015 |||||||

## Honours
### Player

Colo-Colo
* Primera División de Chile: 1993, 1996, 1997, 1998
# Esteban Valencia (footballer, born 1972)

Esteban Andrés Valencia Bascuñán (born 8 January 1972) is a Chilean football manager and former player who played as a midfielder.

## Club career

A historical player of Universidad de Chile, in Chile he also played for Provincial Osorno, Deportes Puerto Montt, Palestino and Universidad Católica.
Abroad he played for Colón in Argentina and Persegi Bali in Indonesia at the end of his career, where he faced other Chilean players such as Francisco Rotunno.

## International career

Nicknamed "Huevito", Valencia obtained a total number of 48 caps for the Chile national football team, scoring three goals between 1994 and 2001. He made his full international debut on 30 April 1994.
Following his return from Indonesia in 2008, he represented the Chile beach soccer team in the South American Championship, alongside retired professional footballers such as Rodrigo Cuevas, Rodrigo Sanhueza, Jorge Torres and Carlos Medina, with Miguel Ángel Gamboa as coach.

## Managerial career

After working in the Universidad de Chile youth system, in 2021 he took the challenge of managing the first team as a caretaker after Rafael Dudamel was released. Later, he was confirmed until the end of the 2021 season. After this experience, he assumed as Technical Coordinator for the youth system.
In 2024, Valencia assumed as coach for the reserve team of Deportes Temuco. On 20 October of the same year, he assumed as interim coach of the first team.

## Personal life

He is the father of the professional footballer Esteban Valencia Reyes.

## Honours
### Player
#### Universidad de Chile

* Primera División (5): 1994, 1995, 1999, 2000, 2004 Apertura
* Copa Chile (2): 1998, 2000
# Mitsubishi Electric Halle

The Mitsubishi Electric Halle (formerly Philips Halle) is an indoor arena located in Düsseldorf, Germany. It opened in 1971 and has a capacity of 7,500 people. It was originally named after Dutch electronics conglomerate Philips. It was renamed the Mitsubishi Electric Halle in April 2011.
It was home of the RheinEnergie Köln, for Euroleague games, for the 2006/2007 season. The nearest Train Station to the arena is Düsseldorf-Oberbilk, which is served by S-Bahn lines S1, S6 and during peak hours S68, Stadtbahn lines U76 and U79 as well as Tram line 701.

## Concerts

* In their early days, U2 played there on the 10 October 1984 as part of The Unforgettable Fire Tour.
* On 7 May 2001, Irish vocal pop band Westlife held a concert for their Where Dreams Come True Tour supporting their album Coast to Coast.
* On June 29, 2007, French electronic duo Daft Punk performed their first time in Germany with the Alive 2006/2007 tour.
* On 15 June 2019, British pop band Take That played a date as part of their European Greatest Hits Live tour.
* On 16 March 2024, Japanese musician and vocalist Ado held a concert for her first world tour - "Wish".
* On April 8, 2024, Slash feat. Myles Kennedy & The Conspirators performed The River Is Rising – Rest of the World Tour '24 at the arena.
# Frobenius determinant theorem

In mathematics, the Frobenius determinant theorem was a conjecture made in 1896 by the mathematician Richard Dedekind, who wrote a letter to F. G. Frobenius about it (reproduced in (Dedekind 1968), with an English translation in (Curtis 2003, p. 51)).
If one takes the multiplication table of a finite group G and replaces each entry g with the variable x$_g$, and subsequently takes the determinant, then the determinant factors as a product of n irreducible polynomials, where n is the number of conjugacy classes. Moreover, each polynomial is raised to a power equal to its degree. Frobenius proved this surprising conjecture, and it became known as the Frobenius determinant theorem.

## Formal statement

Let a finite group $G$ have elements $g_{1},g_{2},\dots ,g_{n}$, and let $x_{g_{i}}$ be associated with each element of $G$. Define the matrix $X_{G}$ with entries $a_{ij}=x_{g_{i}g_{j}}$. Then
    $\det X_{G}=\prod _{j=1}^{r}P_{j}(x_{g_{1}},x_{g_{2}},\dots ,x_{g_{n}})^{\deg P_{j}}$
where the $P_{j}$'s are pairwise non-proportional irreducible polynomials and $r$ is the number of conjugacy classes of G.
# Omicron Boötis

Omicron Boötis (ο Boötis) is a yellow-hued star in the northern constellation of Boötes. With an apparent visual magnitude of +4.60, it is a fifth magnitude star that is visible to the naked eye. Based upon an annual parallax shift of 13.42 mas as seen from the Earth, it is located about 243 light years from the Sun. The star is moving closer to the Sun with a radial velocity of −9 km/s.
At the age of 2.72 billion years, this is an evolved G-type giant star with a stellar classification of G8.5 III. It belongs to the so-called "red clump", which indicates it is generating energy through helium fusion at its core. Although it displays a higher abundance of barium than is normal for a star of its type, Williams (1975) considers its status as a barium star to be "very doubtful". The star has double the mass of the Sun and has expanded to 11 times the Sun's radius. It is radiating 85 times the Sun's luminosity from its enlarged photosphere at an effective temperature of 4,864 K.
# Miguel Ponce

Miguel Andrés Ponce Torres (born 19 August 1971) is a Chilean football manager and former player who played as a defender. He is the current manager of Rangers de Talca.

## Coaching career

Ponce signed with Unión Española for the 2024 season after getting promotion with Deportes Iquique to the top division in 2023. He was released on 3 September of the same year. The next year, he switched to Rangers de Talca.

## Honours
### Player

Universidad Católica
* Primera División de Chile: 2005 Clausura
# Frank Steane

Francis William Steane (22 February 1925 – 4 August 2017) was an Australian rules footballer who played with North Melbourne in the Victorian Football League (VFL). Part of the list of players to score his first goal with his first kick.
# Kevin Hayes (footballer)

Kevin Edward Hayes (19 November 1924 – 8 February 2011) was an Australian rules footballer who played with North Melbourne in the Victorian Football League (VFL).
# Moda Operandi

Founded in 2010 by Lauren Santo Domingo and Áslaug Magnúsdóttir, Moda Operandi is an online luxury fashion retailer that allows customers to preorder looks directly from designers, immediately after their runway show. The concept, which was conceived of by Magnusdottir in 2009, gives "women the power to choose from the full collection".
Moda Operandi hosts online trunk shows that let customers secure runway fashion months in advance by placing a 50-percent deposit. The site offers access to designer pieces that might not become available in traditional luxury retail stores.
On May 2, 2013, the company launched a punk-inspired collection from designers including Givenchy, Balmain, Vivienne Westwood, and Dolce & Gabbana. In 2013, Áslaug Magnúsdóttir left the company after an alleged falling out. In 2019, Ganesh Srivats, a former Tesla, Inc. sales executive became the CEO of Moda Operandi. Declining sales from COVID-19 pandemic caused Moda Operandi to shut down its men's business.
In April, 2022, the company announced a ban on the use of exotic skins in its products.
# Pierse

Pierse is both a surname and a masculine given name. It is a variant of Pierce, which is of Norman origin. The name appears to be a corruption of the ancient French name Piers, itself derived from the earlier Latin Petrus meaning 'a piece of rock or stone'. The modern French form is Pierre. In connection with the early spelling of name Piers, the terminal s was possibly due to the influence of the French nominative singular ending, giving other examples of this peculiarity such as Jacques and Gilles.
The name was brought to Ireland by the Normans during their settlement after the invasions of 1169 and 1170. When adopted by the Irish, the name underwent a change, for the Irish language softened the plosive Piers down to the fricative Piarais (Pronounced "Fearish").
Notable people with the name include:

## Surname

* Annamay Pierse (born 1983), Canadian swimmer
* Catherine Pierse, Irish solicitor
* Peter Pierse (1947–1991), Australian rugby league referee
* Toddy Pierse (1898–1968), Irish Gaelic footballer

## Given

* Pierse Loftus (1877–1956), Irish-born British businessman and politician
* Pierse Long (1739–1789), American merchant
* Pierse Joseph Mackesy (1883–1956), Irish-born British Army officer
# Fagersta Municipality

Fagersta Municipality (Fagersta kommun) is a municipality in Västmanland County in central Sweden. Its seat is located in the city of Fagersta.
The City of Fagersta (instituted in 1944) was in 1967 merged with Västervåla parish (which had been part of Surahammar Municipality since 1963). In 1971 it was transformed into a municipality of unitary type.

## Localities

The municipal seat, Fagersta, is the only locality within the municipality with more than 200 inhabitants.
Another locality of note is Ängelsberg, a village located on Åmänningen Lake.

## Politics of Fagersta

Fagersta is historically a left wing stronghold, with mostly a social democratic majority running the town, a trend only broken with a further left majority between 1998–2014. However, a rapid shift saw the right-leaning coalition narrowly win the 2022 Swedish general election vote in the municipality. The local elections still saw the Social Democratic-Left Party combination winning a combined majority of seats.

## Demographics

This is a demographic table based on Fagersta Municipality's electoral districts in the 2022 Swedish general election sourced from SVT's election platform, in turn taken from SCB official statistics.
In total there were 13,284 residents, including 9,607 Swedish citizens of voting age. 49.0% voted for the left coalition and 49.9% for the right coalition. Indicators are in percentage points except population totals and income.
| Location | Residents | Citizen adults | Left vote | Right vote | Employed | Swedish parents | Foreign heritage | Income SEK | Degree |
| Location | | | % | % | | | | | |
| Centrum | 2,407 | 1,703 | 53.1 | 45.1 | 68 | 54 | 46 | 20,246 | 25 |
| Kolarbyn | 2,079 | 1,234 | 61.7 | 37.4 | 56 | 37 | 63 | 17,905 | 18 |
| Meling | 1,806 | 1,304 | 48.4 | 50.4 | 87 | 81 | 19 | 29,805 | 35 |
| Per Ols | 2,209 | 1,626 | 45.5 | 54.2 | 85 | 73 | 27 | 28,913 | 28 |
| Risbron | 2,153 | 1,580 | 49.8 | 49.1 | 72 | 57 | 43 | 22,908 | 24 |
| Västanfors | 1,329 | 1,064 | 44.8 | 54.5 | 83 | 77 | 23 | 25,388 | 31 |
| Åvestbo-Västervåla | 1,301 | 1,096 | 39.9 | 58.4 | 84 | 85 | 15 | 28,290 | 27 |
| Source: SVT ||||||||||

## Sights

Engelsberg Ironworks, in Ängelsberg, is a UNESCO World Heritage Site.

## Notable people

* Anitra Steen, manager of Systembolaget, former civil servant
* Lennart Hellsing, writer
* Ulf Samuelsson, ice hockey player
* Tomas Sandström, ice hockey player
* The Hives, rock band
# Man on Horseback (ter Borch)

Man on Horseback is a 1634 oil painting on panel by the Dutch painter Gerard ter Borch. It shows a man on horseback slumped in the saddle, moving away from the viewer. It is in the collection of the Museum of Fine Arts, Boston.

## Description

This painting came into the collection by a 1961 purchase. It had been sold from the estate of Martha Dana Mercer.
Two other versions by the artist from the same period are:
* Man on Horseback Seen From Behind, c. 1634
* Man on Horseback Seen From Behind, c. 1634