OpenLLM-France/wikimedia huggingface dataset:
# Approximation in algebraic groups

In algebraic group theory, approximation theorems are an extension of the Chinese remainder theorem to algebraic groups G over global fields k.

## History

Eichler (1938) proved strong approximation for some classical groups. Strong approximation was established in the 1960s and 1970s, for semisimple simply-connected algebraic groups over global fields. The results for number fields are due to Kneser (1966) and Platonov (1969); the function field case, over finite fields, is due to Margulis (1977) and Prasad (1977). In the number field case Platonov also proved a related result over local fields called the Kneser–Tits conjecture.

## Formal definitions and properties

Let G be a linear algebraic group over a global field k, and A the adele ring of k. If S is a non-empty finite set of places of k, then we write A$^S$ for the ring of S-adeles and A$_S$ for the product of the completions k$_s$, for s in the finite set S. For any choice of S, G(k) embeds in G(A$_S$) and G(A$^S$).
The question asked in weak approximation is whether the embedding of G(k) in G(A$_S$) has dense image. If the group G is connected and k-rational, then it satisfies weak approximation with respect to any set S (Platonov & Rapinchuk 1994, p.402). More generally, for any connected group G, there is a finite set T of finite places of k such that G satisfies weak approximation with respect to any set S that is disjoint with T (Platonov & Rapinchuk 1994, p.415). In particular, if k is an algebraic number field then any connected group G satisfies weak approximation with respect to the set S = S$_∞$ of infinite places.
The question asked in strong approximation is whether the embedding of G(k) in G(A$^S$) has dense image, or equivalently whether the set
    G(k)G(A$_S$)
is a dense subset in G(A). The main theorem of strong approximation (Kneser 1966, p.188) states that a non-solvable linear algebraic group G over a global field k has strong approximation for the finite set S if and only if its radical N is unipotent, G/N is simply connected, and each almost simple component H of G/N has a non-compact component H$_s$ for some s in S (depending on H).
The proofs of strong approximation depended on the Hasse principle for algebraic groups, which for groups of type E$_8$ was only proved several years later.
Weak approximation holds for a broader class of groups, including adjoint groups and inner forms of Chevalley groups, showing that the strong approximation property is restrictive.
# Aristofusus excavatus

Aristofusus excavatus, common name apricot spindle, is a species of sea snail, a marine gastropod mollusk in the family Fasciolariidae, the spindle snails, the tulip snails and their allies.

## Description

Aristofusus excavatus has a shell reaching a size of 60 – 86 mm. The surface of this spindle-shaped shell is yellowish, with darker yellowish areas.

## Distribution

This species can be found in southeastern United States and from the Gulf of Mexico to northeastern Brazil. It lives on sandy and mud bottoms at depths from 30 to 160 m.
# IWI Zion-15

The IWI US Zion-15 is an AR-15–style rifle assembled in Middletown, Dauphin County, Pennsylvania by IWI US, originally released in 2020. Marketed at a competitively low price, it is considered to be a budget or entry level rifle designed for American consumers optimized for home defense or competition, chambered in 5.56 NATO.
The rifle has received numerous accolades for its value.

## Design

The Zion-15 is IWI's first M4-styled modern sporting rifle. It uses a direct impingement gas system, has a 16-inch barrel with a 1:8 inch twist, has a 15-inch free-floated handguard with M-LOK attachment points, and an adjustable stock, while the upper receiver has a Picatinny top rail.
According to IWI, the Zion-15 has an accuracy of 1 MOA or less; it was tested for over 10,000 rounds with no significant degradation to accuracy
# Huejotitán Municipality

Huejotitán is one of the 67 municipalities of Chihuahua, in northern Mexico. The municipal seat lies at Huejotitán. The municipality covers an area of 484.8 km².
As of 2010, the municipality had a total population of 1,049, up from 1,036 as of 2005.
The municipality had 51 localities, none of which had a population over 1,000.

## Geography
### Towns and villages

The municipality has 40 localities. The largest are:
| Name | Population (2005) |
| Huejotitán | 244 |
| Pichague | 147 |
| Total Municipality | 1,036 |
# Beaumont (crater)

Beaumont is a lava-flooded crater located on the southwestern shore of the Mare Nectaris on Earth's Moon. It lies to the northwest of the similarly flooded crater remnant Fracastorius. To the west is the prominent crater Catharina. The crater is named after French geologist Léonce Élie de Beaumont.
The rim of Beaumont is breached in the east, where the lava from Mare Nectaris broached the crater and flooded the interior. Now only a worn and crater-impacted outer wall remains. If the crater once possessed a central peak, it is no longer apparent. The floor contains several hills and small craters. A low ridge runs northward from the crater rim across the Mare Nectaris.

## Satellite craters

By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Beaumont.
| Beaumont | Latitude | Longitude | Diameter |
| A | 16.3° S | 27.7° E | 14 km |
| B | 18.6° S | 26.8° E | 16 km |
| C | 20.2° S | 28.0° E | 6 km |
| D | 17.0° S | 26.2° E | 11 km |
| E | 18.8° S | 27.5° E | 18 km |
| F | 18.3° S | 26.6° E | 10 km |
| G | 20.3° S | 27.1° E | 8 km |
| H | 17.2° S | 28.4° E | 6 km |
| J | 19.9° S | 26.5° E | 5 km |
| K | 17.5° S | 30.1° E | 6 km |
| L | 14.4° S | 30.0° E | 4 km |
| M | 19.4° S | 28.6° E | 10 km |
| N | 16.9° S | 27.7° E | 5 km |
| P | 19.9° S | 29.6° E | 17 km |
| R | 17.9° S | 30.7° E | 4 km |
* Beaumont D from Apollo 14
* The small dark-halo crater Beaumont L, from Apollo 14
# Azzimuddin (detainee)

Azzimuddin (born 1972) is a citizen of Afghanistan who was held in extrajudicial detention in the United States Bagram Theater Internment Facility, in Afghanistan. He was released on May 15, 2010, after approximately three months of detention. Ten other Afghans were released at the same time as he was. The Miami Herald described their release as a symbolic gesture.
According to the Miami Herald, he told reporters he spent his first two weeks in Bagram's secret "black prison". He told reporters he spent a further three months in the main Bagram prison, where he underwent daily interrogations. He told reporters his interrogators believed he had helped arm the Taliban, but that they eventually concluded he was innocent.
According to the Miami Herald Captain Jack Hanzlik, a military spokesman, disputed that the USA was operating any secret prisons.
On January 15, 2010, the Department of Defense complied with a court order and published a list of Detainees held in the Bagram Theater Internment Facility. There were 645 names on the list, which was dated September 22, 2009, and was heavily redacted. Azzimuddin's name isn't on that list.
# Oliver Massmann

Oliver Massmann (born 1966) is a German lawyer who is a partner at Duane Morris LLP and general director at Duane Morris LLC Vietnam.
From 2021 to 2023, the European Commission in Brussels and the EU Delegation in Hanoi designated Massmann as the lead advisor for the enactment of the EU-Vietnam Free Trade Agreement (EVFTA).

## Early life and education

Born in 1966 in Germany, Massmann was raised in Oberhausen. He obtained his first state exam in 1994 along with his law degree from Bochum Law University. In 1997, he obtained the second state exam from the Ministry of Justice, Düsseldorf, Germany. He earned his LLM in international taxation from St. Thomas University, Florida, and received certification as an International Financial Accountant and Auditor from the College of Birmingham. He also holds a PhD in international business law.
Massmann acquired Vietnamese language skills when he was a student through a language program designed by a former South Vietnamese general. In 1999, he relocated to Vietnam permanently, furthering his studies in the language at the University of Hanoi. He is now fluent in Vietnamese.
Massmann is married and has two children.

## Career

Massmann came to Vietnam for the first time in 1991 and began his legal career in 1999 with an American law firm, Baker & McKenzie, in Vietnam. He served as an associate and later as a partner until 2007.
In 2007, Massmann joined another American law firm, Duane Morris LLP in Vietnam, as a partner. He also holds the position of general director for Duane Morris LLC in Vietnam.
Massmann has been active in Vietnam's commercial law sector for over twenty years. "He wrote Vietnam's commercial code and is a member of the Vietnamese bar. His specializations include foreign direct investment, international corporate taxation, energy projects, telecommunications, and M&A.
Massmann has advised the Vietnamese government on WTO negotiations and contributed to U.S. bilateral trade agreements. He collaborates with Myanmar's Ministry of Electrical Power and is affiliated with the Vietnam International Arbitration Centre (VIAC). In 2016, he addressed Vietnam's National Assembly in Vietnamese.
From 2021 to 2023, the European Commission in Brussels and the EU Delegation in Hanoi designated Massmann as the lead advisor for the enactment of the EU-Vietnam Free Trade Agreement (EVFTA). He has played a significant role in aligning Vietnamese laws with the stipulations of the EVFTA.
Massmann also serves on the board of the German Business Association.
# Ivan Ribać

Ivan Ribać (Serbian Cyrillic: Иван Рибаћ; born 11 March 1977) is a PhD in political science, boxer, sports instructor, administrator, and politician in Serbia. He was elected to the National Assembly of Serbia in the 2020 Serbian parliamentary election as a member of the Serbian Progressive Party.

## Early career

Both Ivan and his brother Dejan Ribać were members of Serbia's national boxing team. Ivan participated several international boxing events, including the 2004 European Amateur Boxing Championships in Pula, Croatia, where he scored victories over world amateur champion John Dovi and Olympic medalist Rudolf Kraj. His boxing career was ultimately cut short by a broken arm. He subsequently became the director of Serbia's department for the suppression of smuggling, and in September 2018 he was appointed as an assistant director in customs administration.
The Ribać brothers have established both the Association for Martial Arts Fans and the Braća Ribać training center in Belgrade. A 2019 profile in Novosti noted that the center was providing a training program for children living with special needs.

## Politician

Ribać received the thirty-sixth position on the Serbian Progressive Party's Aleksandar Vučić — For Our Children electoral list in the 2020 Serbian parliamentary election and was elected to the assembly when the list won a landslide majority with 188 mandates.
# CCRP

CCRP may be:
* California Coastal Records Project, documenting coastline of California with photography
* Continually Computed Release Point, is a weapons guidance technology
* Certified Canine Rehabilitation Practitioner, a certification available through coursework that designates a particular set of skills used for therapeutic rehabilitation in veterinary medicine.
* Collaborative Crop Research Program - a McKnight Foundation program that aims to funds participatory, collaborative research in Africa and the Andes.
* Command and Control Research Program - The Command and Control Research Program within the Office of the Assistant Secretary of Defense
* Comprehensive Community Revitalization Program - an organization in the South Bronx
* Certified Clinical Research Professional - Someone who has met the eligibility criteria and passed the certification exam. Certification Program creates an internationally accepted standard of knowledge, education and experience by which clinical research professionals will be recognized by the health care research community.
# CCRD Burinhosa

Centro Cultural Recreativo e Desportivo Burinhosa is a futsal team based in the village of Burinhosa, Portugal, that plays in the Portuguese Futsal First Division.

## Current squad

    As of 15 May 2019
| # | Position | Name |
| 1 | Goalkeeper | John Welton |
| 4 | Goalkeeper | João Azevedo |
| 5 | Winger | Marquinhos |
| 7 | Winger | Pimpolho |
| 8 | Pivot | Kiko Nunes |
| 8 | Winger | Dino |
| 10 | Winger | Russo |
| 9 | Winger | Paulo Ferreira |
| 11 | Winger | Gui Fonseca |
| 12 | Goalkeeper | Airton Martins |
| 13 | Pivot | Tiago Pereira |
| 14 | Pivot | Tunha |
| 15 | Defender | Nuno Chuva |
| 17 | Winger | Matheus Abreu |
| 20 | Pivot | Jovan Lazarević |
| 20 | Defender | Leonardo Lopes |
| 20 | Winger | Miguel Pegacha |
| 21 | Winger | João Marçal |
| 22 | Pivot | Nino |
| 25 | Defender | Careca |
| 25 | Goalkeeper | José Presado |
| 77 | Defender | Espanhol |
# Ivory-backed woodswallow

The ivory-backed woodswallow (Artamus monachus) is a species of bird in the family Artamidae. It is endemic to Sulawesi, Indonesia.
Its natural habitats are subtropical or tropical moist lowland forests and subtropical or tropical moist montane forests.
# Olav Steinar Namtvedt

Olav Steinar Namtvedt (born 9 April 1947) is a Norwegian politician for the Centre Party.
He served as a deputy representative to the Norwegian Parliament from Hordaland during the terms 1993–1997 and 2001–2005.
On the local level he was the mayor of Radøy until 2007.
# 2016 Glasgow World Cup

The 2016 Glasgow World Cup is an FIG World Cup event that was held on 12 March 2016 at the Emirates Arena in Glasgow, Scotland.

## Participants
### Women

* Madison Copiak
* Claudia Fragapane
* Enus Mariani
* Elisabeth Seitz
* MyKayla Skinner
* Asuka Teramoto
* Vera Van Pol

### Men

* Christian Baumann
* David Belyavskiy
* Yu Cen
* Marvin Kimble
* Junho Lee
* Arthur Mariano (aka Nory)
* Daniel Purvis
* Max Whitlock
* Masayoshi Yamamoto

## Results
### Women's All-Around

| Rank | Gymnast | | | | | Total |
| | MyKayla Skinner (USA) | 15.566 | 14.300 | 13.500 | 13.633 | 56.999 |
| | Elisabeth Seitz (GER) | 13.933 | 14.800 | 13.766 | 13.233 | 55.732 |
| | Claudia Fragapane (GBR) | 14.466 | 12.500 | 14.066 | 14.366 | 55.398 |
| 4 | Asuka Teramoto (JPN) | 14.233 | 13.933 | 13.566 | 13.033 | 54.765 |
| 5 | Enus Mariani (ITA) | 13.933 | 13.666 | 13.400 | 13.433 | 54.432 |
| 6 | Madison Copiak (CAN) | 14.200 | 13.300 | 12.900 | 12.833 | 53.233 |
| 7 | Vera Van Pol (NED) | 13.833 | 12.700 | 12.366 | 12.566 | 51.465 |

### Men's All-Around

| Rank | Gymnast | | | | | | | Total |
| | Max Whitlock (GBR) | 15.033 | 15.500 | 14.333 | 15.133 | 14.500 | 14.800 | 89.299 |
| | Arthur Mariano (aka Nory) (BRA) | 14.966 | 14.300 | 13.766 | 14.900 | 13.533 | 15.133 | 86.598 |
| | Daniel Purvis (GBR) | 14.566 | 13.200 | 14.400 | 14.633 | 15.166 | 14.500 | 86.465 |
| 4 | Akash Modi (USA) | 14.300 | 12.966 | 14.133 | 14.600 | 15.166 | 14.533 | 85.698 |
| 5 | Masayoshi Yamamoto (JPN) | 14.633 | 13.866 | 14.600 | 14.766 | 14.666 | 13.166 | 85.697 |
| 6 | David Belyavskiy (RUS) | 14.466 | 12.933 | 14.333 | 14.333 | 14.766 | 14.633 | 85.464 |
| 7 | Christian Baumann (SUI) | 13.866 | 13.800 | 14.533 | 14.333 | 15.000 | 12.500 | 84.032 |
| 8 | Yu Cen (CHN) | 14.433 | 12.500 | 14.733 | 15.366 | 14.300 | 12.600 | 83.932 |
| 9 | Junho Lee (KOR) | 13.966 | 12.833 | 13.500 | 14.033 | 13.600 | 12.500 | 80.432 |
# Oleg Voskoboynikov

Oleg Voskoboynikov (born 4 July 1971) is a Kazakh former football player who played for the Kazakhstan national football team as a goalkeeper.
Voskoboynikov has made 24 appearances for the Kazakhstan national football team.

## Career statistics
### International

    As of match played 10 December 2000
Appearances and goals by national team and year :
| National team | Year | Apps | Goals |
| Kazakhstan | 1994 | 2 | 0 |
| Kazakhstan | 1995 | 2 | 0 |
| Kazakhstan | 1996 | 1 | 0 |
| Kazakhstan | 1997 | 8 | 0 |
| Kazakhstan | 1998 | 5 | 0 |
| Kazakhstan | 1999 | 0 | 0 |
| Kazakhstan | 2000 | 6 | 0 |
| Total | Total | 24 | 0 |

## Honours

* Kazakhstani Footballer of the Year (3):
   * 1996, 1997, 1998
# 2015 UEC European Track Championships – Men's keirin

The Men's keirin was held on 18 October 2015.

## Results
### First round

Heat winners qualified directly for the second round; the remainder went to the first round repechage.

### First round Repechage

Heat winners qualified for the second round.

### Second round

First three riders in each semi qualified for the final; the remainder went to the small final (for places 7-12).

### Finals

The final classification is determined in the ranking finals.
# Ole (name)

Ole is a Danish and Norwegian masculine given name, derived from the Old Norse name Óláfr, meaning "ancestor's descendant".
Notable people with the given name include:

## Given name

* Ole Anderson, American wrestler
* Ole Andreas Halvorsen, Norwegian hedge fund manager
* Ole Barman, Norwegian novelist
* Ole Einar Bjørndalen, Norwegian biathlete
* Ole Barndorff-Nielsen, Danish mathematician
* Ole Beich, Danish bassist
* Ole E. Benson, American politician
* Ole Bornedal, Danish film director
* Ole Bull, Norwegian violinist
* Ole Kirk Christiansen, Danish businessman, founder of the Lego Group
* Ole Ernst, Danish actor
* Ole Espersen, Danish politician
* Ole Evinrude, Norwegian-born American outboard manufacturer
* Ole Gunnar Solskjær, Norwegian footballer
* Ole Bjørn Kraft, Danish journalist and politician
* Ole Lund Kirkegaard, Danish author
* Ole Monty, Danish actor
* Ole Nydahl, Danish founder and director of Diamond Way
* Ole Olsen (filmmaker) (1863–1943), Danish filmmaker, founder of Nordisk Film
* Ole Olsen (speedway rider), Danish speedway rider
* Ole Birk Olesen (born 1972), Danish politician
* Ole Qvist, Danish goalkeeper
* Ole Ritter, Danish racing cyclist
* Ole Rømer, Danish astronomer
* Ole O. Sageng, American politician
* Ole Stavad, Danish politician
* Ole Svendsen, Danish boxer
* Ole Tinghaug, Norwegian politician
* Ole Worm, Danish physician and antiquary

## Surname

* Eduard Ole (1898–1995), Estonian painter
# Ole-Jacob Hoff

Ole-Jacob Hoff (born 1928 in Oslo) was a Norwegian economist, academician, author, publisher, and scholar. The son of a fellow economist and author, Trygve Hoff, Ole-Jacob Hoff also functioned as editor of the Norwegian-language economic periodical Farmand until 1989. He graduated from Harvard University and was a social and political critic and speaker.

## Career

Ole Jacob Hoff took over as editor and publisher of Farmand after his father's death and stayed on this post for six years (1983–1989). Through this publication, Hoff promoted liberal solutions and perspective in society. Just like his predecessor, Hoff was also a member of Mont Pelerin Society and a frequent speaker at a number of the society's meetings. Hoff was an honoree at the Foundation for Economic Education's Honor Roll of Authors for The Freeman, 1956–1996. He was a faculty member and adjunct scholar at Ludwig von Mises Institute. He was also a previous member of the editorial board of the Review of Austrian Economics

## Views

Hoff was an ardent believer of libertarianism and the free market economic ideas of Leonard Read, the founder of the Foundation for Economic Education (FEE), an American-pioneered paradigm. He described his ideas as anarcho-capitalist.

## Publications

* The Myth of Scandinavia's ‘Model Welfare State’ (journal article)
* Little Hope for Markets in the USSR (journal article)
* Politics is Other People's Money (article)
* Tales from the Public Sector (journal article)
* Socialism at the Crossroads (journal article)
* Which Way Norway (journal article)
* Scandinavia: Quiet Revolution (journal article)
# Oleg Kovalyov

Oleg Kovalyov may refer to:
* Aleh Kavalyow (born 1987), Belarusian footballer
* Oleg Ivanovich Kovalyov (1948–2020), Russian politician, governor of Ryazan Oblast
# 2016 Naturtex Women's Open

The 2016 Naturtex Women's Open was a professional tennis tournament played on outdoor clay courts. It was the first edition of the tournament and part of the 2016 ITF Women's Circuit, offering a total of $50,000 in prize money. It took place in Szeged, Hungary, on 13–19 June 2016.

## Singles main draw entrants
### Seeds

| Country | Player | Rank$^1$ | Seed |
| BLR | Aliaksandra Sasnovich | 99 | 1 |
| GRE | Maria Sakkari | 116 | 2 |
| SVK | Jana Čepelová | 130 | 3 |
| BEL | Ysaline Bonaventure | 150 | 4 |
| CZE | Barbora Krejčíková | 190 | 5 |
| CZE | Jesika Malečková | 201 | 6 |
| RUS | Ekaterina Alexandrova | 213 | 7 |
| ROU | Cristina Dinu | 223 | 8 |
* $^1$ Rankings as of 6 June 2016.

### Other entrants

The following player received a wildcard into the singles main draw:
* Bianka Békefi
* Ágnes Bukta
* Rebeka Stolmár
* Naomi Totka
The following players received entry from the qualifying draw:
* Ema Burgić Bucko
* Cristina Ene
* Marina Kachar
* Dejana Radanović
The following player received entry by a lucky loser spot:
* Gabriela Duca

## Champions
### Singles

* Viktoriya Tomova def. Maria Sakkari, 4–6, 6–0, 6–4

### Doubles

* Cristina Dinu / Lina Gjorcheska def. Justyna Jegiołka / Guadalupe Pérez Rojas, 4–6, 6–1, [10–4]
# Cabral-class ironclad

The Cabral-class ironclads were a pair of iron-hulled, armored corvettes originally ordered by Paraguay in 1864, but were sold to Brazil when Paraguay defaulted on the payments. Configured as central-battery ironclads, they served during the 1864–1870 Paraguayan War between Brazil, Argentina and Uruguay against Paraguay.

## Design and description

The ships were 160 feet (48.8 m) long, had a beam of 35 feet 6 inches (10.8 m) and drafts of 11.75–12.1 feet (3.6–3.7 m). They displaced 1,033 long tons (1,050 t). The Cabral class had a pair of steam engines, each driving one propeller. The engines produced a total of 750 indicated horsepower (560 kW) and gave the ships a maximum speed of 10.5 knots (19.4 km/h; 12.1 mph). Their crew consisted of 125 officers and enlisted men.
Cabral was armed with two 70-pounder Whitworth rifled muzzle-loading guns and two smoothbore 68-pounder guns, while Colombo had four 120-pounder Whitworth guns. The ships had a complete waterline belt of wrought iron that ranged in thickness from 114 millimeters (4.5 in) amidships to 76 millimeters (3.0 in) at the ends of the ship.

## Ships

| Paraguayan name | Brazilian name | Namesake | Builder | Laid down | Launched | Completed | Fate |
| | Cabral | Pedro Álvares Cabral | J. and G. Rennie, Millwall, London | | | 1866 | Stricken, 1885 |
| | Colombo | Christopher Columbus | J. and G. Rennie, Millwall, London | | | 1866 | Stricken, 1885 |
# Cacao Bajo

Cacao Bajo is a barrio in the municipality of Patillas, Puerto Rico. Its population in 2010 was 1,437.

## History

Cacao Bajo was in Spain's gazetteers until Puerto Rico was ceded by Spain in the aftermath of the Spanish–American War under the terms of the Treaty of Paris of 1898 and became an unincorporated territory of the United States. In 1899, the United States Department of War conducted a census of Puerto Rico finding that the combined population of Quebrada Arriba and Cacao Bajo barrios was 928.

## Sectors

Barrios (which are, in contemporary times, roughly comparable to minor civil divisions) in turn are further subdivided into smaller local populated place areas/units called sectores (sectors in English). The types of sectores may vary, from normally sector to urbanización to reparto to barriada to residencial, among others.
The following sectors are in Cacao Bajo barrio:
Carretera 3, Carretera 184, Carretera 755, Sector Ancones Sifón, Sector La Herradura, Sector Los Pompos, Sector Margote, Sector Obén, Sector Raja Larga, Sector Sabana, Sector Seboruco, Sector Túnel Sabana, Sector Yaurel Chiquito, Urbanización Estancias de Aurora, and Urbanización Las Violetas.