OpenLLM-France/wikimedia huggingface dataset:
# Gauss–Jacobi quadrature

In numerical analysis, Gauss–Jacobi quadrature (named after Carl Friedrich Gauss and Carl Gustav Jacob Jacobi) is a method of numerical quadrature based on Gaussian quadrature. Gauss–Jacobi quadrature can be used to approximate integrals of the form
    $\int _{-1}^{1}f(x)(1-x)^{\alpha }(1+x)^{\beta }\,dx$
where ƒ is a smooth function on [−1, 1] and α, β > −1. The interval [−1, 1] can be replaced by any other interval by a linear transformation. Thus, Gauss–Jacobi quadrature can be used to approximate integrals with singularities at the end points. Gauss–Legendre quadrature is a special case of Gauss–Jacobi quadrature with α = β = 0. Similarly, the Chebyshev–Gauss quadrature of the first (second) kind arises when one takes α = β = −0.5 (+0.5). More generally, the special case α = β turns Jacobi polynomials into Gegenbauer polynomials, in which case the technique is sometimes called Gauss–Gegenbauer quadrature.
Gauss–Jacobi quadrature uses ω(x) = (1 − x)$^α$ (1 + x)$^β$ as the weight function. The corresponding sequence of orthogonal polynomials consist of Jacobi polynomials. Thus, the Gauss–Jacobi quadrature rule on n points has the form
    $\int _{-1}^{1}f(x)(1-x)^{\alpha }(1+x)^{\beta }\,dx\approx \lambda _{1}f(x_{1})+\lambda _{2}f(x_{2})+\ldots +\lambda _{n}f(x_{n}),$
where x$_1$, …, x$_n$ are the roots of the Jacobi polynomial of degree n. The weights λ$_1$, …, λ$_n$ are given by the formula
    $\lambda _{i}=-{\frac {2n+\alpha +\beta +2}{n+\alpha +\beta +1}}\,{\frac {\Gamma (n+\alpha +1)\Gamma (n+\beta +1)}{\Gamma (n+\alpha +\beta +1)(n+1)!}}\,{\frac {2^{\alpha +\beta }}{P_{n}^{(\alpha ,\beta )\,\prime }(x_{i})P_{n+1}^{(\alpha ,\beta )}(x_{i})}},$
where Γ denotes the Gamma function and P$^{(α,β)}$ $_n$(x) the Jacobi polynomial of degree n.
The error term (difference between approximate and accurate value) is:
    $E_{n}={\frac {\Gamma (n+\alpha +1)\Gamma (n+\beta +1)\Gamma (n+\alpha +\beta +1)}{(2n+\alpha +\beta +1)[\Gamma (2n+\alpha +\beta +1)]^{2}}}{\frac {2^{2+\alpha +\beta +1}}{(2n)!}}f^{(2n)}(\xi ),$
where $-1<\xi <1$.
# Bahçesultan, Pazaryeri

Bahçesultan is a village in the Pazaryeri District, Bilecik Province, Turkey. Its population is 73 (2021).
# Chinguanja

Chinguanja is a city and commune of Angola, located in the province of Cuando Cubango. As of 2014, the city had a population of 3,612 people over an area of 4,010 square kilometres (1,550 sq mi).
# Gymnastics at the 1982 South American Games

Gymnastics events were competed at the 1982 Southern Cross Games in Rosario, Argentina.

## Medal summary
### Medal table

| Rank | Nation | Gold | Silver | Bronze | Total |
| 1 | Brazil (BRA) | 14 | 8 | 3 | 25 |
| 2 | Argentina (ARG) | 0 | 4 | 5 | 9 |
| 3 | Chile (CHI) | 0 | 2 | 3 | 5 |
| 4 | Ecuador (ECU) | 0 | 0 | 2 | 2 |
| 5 | Peru (PER) | 0 | 0 | 1 | 1 |
| Totals (5 entries) | Totals (5 entries) | 14 | 14 | 14 | 42 |

### Artistic gymnastics
#### Men

| Event | Gold | Silver | Bronze |
| Team all-around details | Brazil Hélio Araújo Fernando Moreira João Vicente Machado Gerson Gnoatto Pedro Ruhs Roberto Nassar | Argentina Miguel Costante Miguel Lalanne Raimundo Blanco Daniel Chu Néstor Schettino Fernando Molinari | Chile Marcelo Toledo |
| Individual all-around details | Pedro Ruhs (BRA) | Gerson Gnoatto (BRA) | Hélio Araújo (BRA) |
| Floor exercise details | Hélio Araújo (BRA) | Pedro Ruhs (BRA) | Raimundo Blanco (ARG) |
| Pommel horse details | Fernando Moreira (BRA) | Marcelo Toledo (CHI) | Iván Ayala (ECU) |
| Rings details | Pedro Ruhs (BRA) | Gerson Gnoatto (BRA) | Marcelo Toledo (CHI) |
| Vault details | Pedro Ruhs (BRA) | Hélio Araújo (BRA) | Marcelo Toledo (CHI) |
| Parallel bars details | Gerson Gnoatto (BRA) | Marcelo Toledo (CHI) | Pedro Ruhs (BRA) |
| Horizontal bar details | Gerson Gnoatto (BRA) | Raimundo Blanco (ARG) | Iván Ayala (ECU) |

#### Women

| Event | Gold | Silver | Bronze |
| Team all-around details | Brazil Jaqueline Pires Altair Prado Cláudia Magalhães Denilce Campos Tatiana Figueiredo Marcela Alonso | Argentina Patricia Miracle Andrea Moretón Cecilia Ibarrondo Marina Magas Carina López Karina Briozzo | Peru |
| Individual all-around details | Altair Prado (BRA) | Jaqueline Pires (BRA) | Patricia Miracle (ARG) |
| Vault details | Jaqueline Pires (BRA) | Altair Prado (BRA) | Patricia Miracle (ARG) |
| Uneven bars details | Altair Prado (BRA) | Jaqueline Pires (BRA) | Tatiana Figueiredo (BRA) |
| Balance beam details | Altair Prado (BRA) | Patricia Miracle (ARG) | Andrea Moretón (ARG) |
| Floor exercise details | Jaqueline Pires (BRA) | Altair Prado (BRA) | Patricia Miracle (ARG) |
# John Ward (1920s footballer)

John Ward was an English professional footballer of the 1920s. Born in Birtley, he joined Gillingham from Darlington in 1925 and went on to make two appearances for the club in The Football League. He left to join Fatfield Albion in 1926.
He signed for Bradford City from Fatfield in October 1927. He made 5 league appearances for the club, before being released in June 1928.

## Sources

* Frost, Terry (1988). Bradford City A Complete Record 1903-1988. Breedon Books Sport. ISBN 0-907969-38-0.
# 2012 Phillip Island 300

The 2012 Phillip Island 300 was a motor race for the Australian sedan-based V8 Supercars. It was the fifth event of the 2012 International V8 Supercars Championship. It was held on the weekend of 18–20 May at the Phillip Island Grand Prix Circuit, in Phillip Island, Victoria.
The event was the second in a row in which Ford Performance Racing dominated with Mark Winterbottom winning the Saturday race and Will Davison winning the Sunday race. Although the FPR duo won both races, Shane van Gisbergen was the best performed driver over the whole weekend.

## Standings

* After 11 of 30 races.
| Pos | No | Name | Team | Points |
| 1 | 6 | Will Davison | Ford Performance Racing | 1216 |
| 2 | 1 | Jamie Whincup | Triple Eight Race Engineering | 1206 |
| 3 | 5 | Mark Winterbottom | Ford Performance Racing | 1187 |
| 4 | 888 | Craig Lowndes | Triple Eight Race Engineering | 977 |
| 5 | 9 | Shane van Gisbergen | Stone Brothers Racing | 953 |
* This article related to sport in Australia is a stub. You can help Wikipedia by expanding it.
* v
* t
* e
# Announcement (computing)

An announcement (ANN) is a Usenet, mailing list or e-mail message sent to notify subscribers that a software project has made a new release version. Newsgroup announcement recipients often have a name like "comp.somegroup.announce". Mailing list announcement recipients often have a name like "toolname-announce". In an announcement, the subject line commonly contains the abbreviated prefix ANN: or [ANN].
The contents of an announcement usually contain a title line which contains the tool name, version, release name, and date. Additional contents often fall into the following message sections:
* About: a short paragraph summary of the tool's purpose
* Changes: a list of the highest impact changes since the last release (should be brief since the changelog comprises the definitive list)
* Resources: links to project pages of interest, such as homepage, where to download, bug tracking system, etc.
Some additional, optional fields might include "Highlights", "Author(s)", "License", "Requirements", and "Release History".
Announcement messages are usually sent in plain text form.

## Example

Example announcement message subject line:
Example announcement message contents:
# Arthur Clifton

General Sir Arthur Benjamin Clifton GCB KCH KSA KSW (1771 – 8 March 1869) was a British soldier who fought in the Peninsular War and commanded the Second Union Cavalry Brigade at the Battle of Waterloo on 18 June 1815.

## Biography

Clifton was the third son of Sir Gervase Clifton, 6th Baronet, (1744–1815), one time High Sheriff of Nottinghamshire.
Educated at Rugby, he entered the army in 1794. He served throughout the Peninsular War and received the gold medal and one clasp for service at the battles of Fuentes de Oñoro and Vittoria. On the death of Major General Sir William Ponsonby at Waterloo, Clifton commanded the 2nd Union Cavalry Brigade. He was subsequently promoted to the rank of general.
He was appointed Knight Commander of the Order of the Bath (KCB) in the 1838 Coronation Honours, and raised to Knight Grand Cross (GCB) in 1861. He died unmarried on 8 March 1869 aged 98 at his residence in the Old Steine, Brighton.

## Family

He was the brother of Sir Robert Clifton, 7th Baronet, Sir Juckes Granville Juckes-Clifton, 8th Baronet and Frances Egerton Clifton who married the Ven. Robert Markham, archdeacon of York, in 1797.
# Garze Gesar Airport

Ganzi Gesaer Airport (IATA: GZG, ICAO: ZUGZ) is an airport in Garzê Tibetan Autonomous Prefecture, Sichuan, China. It is located at the border of Laima Town (来马镇) of Garzê County and Cuo'a Town (错阿镇) of Dêgê County, about 52 kilometres (32 mi) from Garzê Town and 152 kilometres (94 mi) from the seat of Dege.
The airport project received approval from the National Development and Reform Commission in October 2015, with a projected investment of 2.26 billion yuan. Construction began in June 2017, and the airport opened on 16 September 2019.
With an elevation of 4,068 metres (13,346 ft), Garze Airport is the fifth airport in China that is above 4,000 meters. It is the third airport in Garze Prefecture, after Kangding Airport and Daocheng Yading Airport.
The airport has a 4,000-meter-long runway (class 4C). It is designed to handle 150,000 passengers per year.

## Airlines and destinations

| Airlines | Destinations |
| Sichuan Airlines | Chengdu–Tianfu |
# Chinguetti oil field

The Chinguetti oilfield is an oil field located off the Mauritanian coast in 800 m water depth. It was discovered by the Australian firm Woodside Petroleum in 2001. It is named after the city of Chinguetti.
Relatively modest in size, originally estimated at 123 million barrels (19,600,000 m$^3$), this deposit is nonetheless significant as the first commercial discovery of oil in the country, opening a new region for offshore petroleum exploration. Production of 75,000 barrels per day (11,900 m$^3$/d) began in early 2006 via an FPSO. Production declined rapidly after the start of production due to geological complexity. In November 2006 Woodside issued a statement cutting the field's 2P reserves to 53 million barrels (8,400,000 m$^3$). Woodside expect production of 20,000 barrels per day (3,200 m$^3$/d) to 30,000 barrels per day (4,800 m$^3$/d) in the next few years. reference
A smaller oil field, Tevet, was discovered in the same area in early 2005, and will probably developed as a satellite - meaning that it will be exploited by wells tied back to Chinguetti's platform.
Two larger discoveries, Banda and Tiof, were also made off the coast of Mauritania, by the Woodside consortium in 2003.
In 2004, Woodside had agreed to invest US$ 600 million in developing the Chinguetti project. However, in February 2006, the Mauritanian military junta led by Ely Ould Mohamed Vall denounced amendments to an oil contract made by former President Maaouya Ould Sid'Ahmed Taya with Woodside Petroleum, the controversial amendments, which Mauritanian authorities declared that they had been signed "outside the legal framework of normal practice, to the great detriment of our country", could cost Mauritania up to $200 million a year, according to BBC News.
It was later sold to PETRONAS group. Production ceased in December 2017, and an abandonment programme was begun in 2019.
# Budmani

Budmani is a surname. Notable people with the surname include:
* Lukrecija Bogašinović Budmani (1710–1784), Ragusan poet
* Pero Budmani (1835–1914), writer, linguist, grammarian, and philologist from Dubrovnik
* Simo Budmani, merchant from Dubrovnik
# Dick Bivins Stadium

The 15,000-capacity Dick Bivins Stadium is a stadium in Amarillo, Texas, USA, located at 800 S Marrs Street on the city's east side. It is primarily used for American football, and is the home field of the Amarillo Independent School District (AISD). During the season, many Texas Panhandle area high school football teams play regular and post-season games here. These schools include the four AISD-affiliated high schools: Amarillo High, Caprock High, Tascosa High, and Palo Duro High.
The stadium is named after Dick Bivins, Amarillo civic leader and nephew of Lee Bivins. It has the distinction of being the first stadium in the world to use the next-generation artificial turf surface FieldTurf (an artificial turf that closely resembles natural grass by using sand and rubber as an infill material), which it first installed in 1998.
# Bentivegna

Bentivegna is an Italian surname. Notable people with the surname include:
* Accursio Bentivegna (born 1996), Italian footballer
* Christopher Bentivegna, American singer, actor and theatre director
* Francesco Bentivegna (1820–1856), Italian patriot
# Corculum

Corculum is a genus of small saltwater clams, marine bivalve molluscs in the family Cardiidae, the cockles. They maintain Symbiodinium dinoflagellates as symbionts.

## Species

Species in the genus Corculum are:
* Corculum aequale (Deshayes, 1855)
* Corculum aselae Bartsch, 1947
* Corculum cardissa (Linnaeus, 1758)
* Corculum impressum (Lightfoot, 1786)
* Corculum lorenzi M. Huber, 2013
* Corculum monstrosum (Gmelin, 1791)
* Corculum roseum (Gmelin, 1791)
# Codes, Maranchón

Codes is a hamlet located in the municipality of Maranchón, in Guadalajara province, Castilla–La Mancha, Spain. As of 2020, it has a population of 5.

## Geography

Codes is located 112km east-northeast of Guadalajara, Spain.
# Arthur Cleveland Bent

Arthur Cleveland Bent (November 25, 1866 – December 30, 1954) was an American ornithologist. He is notable for his encyclopedic 21-volume work, Life Histories of North American Birds, published 1919-1968 and completed posthumously.
Bent was brought up in Taunton, Massachusetts, where he became interested in birds as a child. He was later successful in business and traveled throughout North America, acquiring an extensive knowledge of its avifauna. From 1901 he was contributing papers to The Auk, the journal of the American Ornithologists' Union.
Following a request from the Smithsonian Institution in 1910, Bent started work on the project that would dominate the rest of his life. Using his own experiences, the published literature, and contributions from hundreds of others, he put together what was at the time by far the most comprehensive repository of knowledge about the biology of the birds of North America. His accounts were published progressively in the United States National Museum Bulletin (NMB), and later republished by Dover.
In 1940 Bent was awarded the John Burroughs Medal for distinguished book-length nature writing. He was awarded the Daniel Giraud Elliot Medal from the National Academy of Sciences in 1949 .

## Life Histories – publication history

* 1919 - Life Histories of North American Diving Birds (NMB 107)
* 1921 - Life Histories of North American Gulls and Terns (NMB 113)
* 1922 - Life Histories of North American Petrels and Pelicans and Their Allies (NMB 121)
* 1923 - Life Histories of North American Wild Fowl (part 1) (NMB 126)
* 1925 - Life Histories of North American Wild Fowl (part 2) (NMB 130)
* 1926 - Life Histories of North American Marsh Birds (NMB 135)
* 1927 - Life Histories of North American Shore Birds (part 1) (NMB 142)
* 1929 - Life Histories of North American Shore Birds (part 2) (NMB 146)
* 1932 - Life Histories of North American Gallinaceous Birds (NMB 162)
* 1937 - Life Histories of North American Birds of Prey (part 1) (NMB 167)
* 1938 - Life Histories of North American Birds of Prey (part 2) (NMB 170)
* 1939 - Life Histories of North American Woodpeckers (NMB 174)
* 1940 - Life Histories of North American Cuckoos, Goatsuckers, Hummingbirds, and Their Allies (NMB 176)
* 1942 - Life Histories of North American Flycatchers, Larks, Swallows, and Their Allies (NMB 179)
* 1946 - Life Histories of North American Jays, Crows, and Titmice (NMB 191) (link requires registration)
* 1948 - Life Histories of North American Nuthatches, Wrens, Thrashers, and Their Allies (NMB 195)
* 1949 - Life Histories of North American Thrushes, Kinglets, and Their Allies (NMB 196)
* 1950 - Life Histories of North American Wagtails, Shrikes, Vireos, and Their Allies (NMB 197)
* 1953 - Life Histories of North American Wood Warblers (NMB 203)
* 1958 - Life Histories of North American Blackbirds, Orioles, Tanagers, and Allies (NMB 211)
* 1968 - Life Histories of North American Cardinals, Grosbeaks, Buntings, Towhees, Finches, Sparrows, and Allies (3 parts) (Arthur Cleveland Bent and Collaborators, compiled and edited by Oliver L. Austin Jr.) (NMB 237)
# Buechernachlese

The Buechernachlese (or: Büchernachlese, translated: books gleanings) is established by Ulrich Karger as freely accessible online review archives in 2000. It contains more than 1,500 of his book reviews and brief references in German to literature and poetry, nonfiction and children's books as well as literature for young people.
In addition to his work as a book author, since 1985 Ulrich Karger has written also many book reviews for various daily papers (e.g. for Der Tagesspiegel, Berliner Zeitung) and magazines.
In 1999 he established link lists on his home page, which referred to his reviews on other web portals and online newspapers. In October 2000 he started to incorporate all its pages with his reviews into his own website. His articles can be read there completely and unedited. Their scope ranges from a few lines to several pages, however the default size is about 1800 to 2400 punctuation marks. Quite a few of his reviews were also cited, among others in term papers, dissertations and as part of teacher materials.
# John Hothby

John Hothby (Otteby, Hocby, Octobi, Ottobi, c. 1410–1487), also known by his Latinised names Johannes Ottobi or Johannes de Londonis, was an English Renaissance music theorist and composer who travelled widely in Europe and gained an international reputation for his work.

## Biography

Little is known of the origins or early life of John Hothby. He appears to have left England after 1435 but most of the references to him in surviving sources are to the last twenty years of his life, by which time he had taken vows as a Carmelite friar and he claimed in his own work to have travelled in Britain, Germany, France, Spain and Italy, before he went to a convent in Ferrara and then in 1467 took employment in Lucca, probably teaching music at the cathedral. In 1486 he was recalled to England by the new king Henry VII and appears to have died in the north of England in the following year.

## Work and influence

Surviving compositions include six sacred Latin works and three secular Italian songs. Exactly which works on music theory Hothby wrote is unclear and some older works may have been attributed to him and some contemporary works often given under this name may have been written by another author Johannes de Anglia. Work generally attributed to him includes La Capiopea Legale and Proportiones Secundum. Surviving work suggests that he was a traditionalist, defending the Pythagorean tuning and Guidonian pitch in the face of reforms proposed by Bartolomé Ramos de Pareja, but is chiefly notable for modifications to the pitch system to accommodate sharp and flat notes. His work was widely known in Britain and continental Europe and he may have been the most important figure in communicating musical ideas of the Contenance Angloise between England and the continent.

## Editions

* Seay, Albert, ed. (1964). The Musical Works of John Hothby. Corpus mensurabilis musicae. Vol. 33. Cambridge: American Institute of Musicology. ISBN 978-1-59551-113-3. OCLC 558697.
# Berlin Beirut

Berlin Beirut is a 2004 German-Lebanese short film by the Lebanese director Myrna Maakaron.

## Cast and characters

* Maria Toma as Girl in the Subway
* Myrna Maakaron as Herself
* Philippe Farhat as Children
* Richard Farhat as Children
* Rhoda Fromme as Girl with a Flute
* Sami Cheikha as Children
* Sven Philipp as German Man
* Tamara Cheikha as Children
* Tatiana Smatt Cheikha as Women on Balcony
* Thomas Chacra as Children
* Victor del Castillo as Cellist
* Zeina Bassil as Women on Balcony

## Awards

* Winner of the BERLIN TODAY AWARD 2004.
* Winner of the DISCOVERY CHANNEL FILM PRIZE as BEST GERMAN DOCUMENTARY at the 47th International Leipzig Festival For Documentary And Animated Films
* Winner of the BEST DOCUMENTARY in Portugal at the FIKE 2004 - Évora International Short Film Festival
* Winner of the BEST SHORT FILM at the Carthage Film Festival 2004
* Winner of the BEST PRIZE at the Bayreuther Filmfest "kontrast 2005"
* Winner of the BEST BERLIN FILM at Achtung Berlin Film Festival 2005
* Winner of the SEDICIORO as BEST SHORT, section documentary at the "2nd Film Festival Forlì City"- Italy 2005
* Special Mention at the 7ème Biennale des cinémas arabes à Paris - 2004
* Special Mention at the International Short Film Festival Hamburg - 2004
# Corail

Corail may refer to:
* Corail (train), an SNCF service train in France
* Corail Arrondissement, an administrative division in Grand'Anse, Haiti
** Corail, Grand'Anse, a commune in Corail Arrondissement
*** Corail City, the principal town of Corail
* The Pinova apple cultivar, also known as Corail
# Coleman Hawkins with the Red Garland Trio

Coleman Hawkins with the Red Garland Trio (also referred to as Swingville 2001) is an album by saxophonist Coleman Hawkins with pianist Red Garland's trio recorded August 12, 1959 and released on the Swingville label.

## Reception

Professional ratings :
| Review scores ||
| Source | Rating |
| Allmusic | |
| The Penguin Guide to Jazz Recordings | |
The Allmusic review by Scott Yanow stated: "One of Hawkins's better Prestige sessions (originally on its Swingville subsidiary) finds him fronting a then-modern rhythm section for a variety of basic originals."

## Track listing

* "It's a Blue World" (George Forrest, Robert Wright) – 7:59
* "I Want to Be Loved" (Savannah Churchill) – 5:54
* "Red Beans" (Coleman Hawkins, Red Garland) – 4:14
* "Bean's Blues" (Red Garland) – 11:54
* "Blues for Ron" (Doug Watkins) – 6:14

## Personnel

* Coleman Hawkins – tenor saxophone
* Red Garland – piano
* Doug Watkins – bass
* Charles "Specs" Wright – drums
# Arrondissement of Ancenis

The arrondissement of Ancenis is a former arrondissement of France in the Loire-Atlantique department in the Pays de la Loire region. In January 2017 it was merged into the new arrondissement of Châteaubriant-Ancenis. At the time of the merger, it had 24 communes. Its population was 61,457 (2012).

## Composition

The communes of the arrondissement of Ancenis, and their INSEE codes, were:
* Ancenis (44003)
* Bonnœuvre (44017)
* Le Cellier (44028)
* Couffé (44048)
* Joué-sur-Erdre (44077)
* Ligné (44082)
* Loireauxence (44213)
* Maumusson (44093)
* Mésanger (44096)
* Montrelais (44104)
* Mouzeil (44107)
* Oudon (44115)
* Pannecé (44118)
* Le Pin (44124)
* Pouillé-les-Côteaux (44134)
* Riaillé (44144)
* La Roche-Blanche (44222)
* Saint-Géréon (44160)
* Saint-Mars-la-Jaille (44180)
* Saint-Sulpice-des-Landes (44191)
* Teillé (44202)
* Trans-sur-Erdre (44207)
* Vair-sur-Loire (44163)
* Vritz (44219)

## History

The arrondissement of Ancenis was created in 1800, disbanded in 1926 and restored in 1943. It was disbanded in 2017. As a result of the reorganisation of the cantons of France which came into effect in 2015, the borders of the cantons are no longer related to the borders of the arrondissements. The cantons of the arrondissement of Ancenis were, as of January 2015:
* Ancenis
* Ligné
* Riaillé
* Saint-Mars-la-Jaille
* Varades
# Leptolalax nyx

Leptolalax nyx is a species of frog in the family Megophryidae.