hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Alexander–Hirschowitz theorem
The Alexander–Hirschowitz theorem shows that a specific collection of k double points in the projective space Pr will impose independent types of conditions on homogenous polynomials and the hypersurface of dimension d with many known lists of exceptions. In which case, the classic polynomial interpolation that is located in several variables can be generalized to points that have larger multiplicities.

Multiplicity (mathematics)
In mathematics, the multiplicity of a member of a multiset is the number of times it appears in the multiset.  For example, the number of times a given polynomial has a root at a given point is the multiplicity of that root.

The notion of multiplicity is important to be able to count correctly without specifying exceptions (for example, double roots counted twice).  Hence the expression, "counted with multiplicity".

If multiplicity is ignored, this may be emphasized by counting the number of distinct elements, as in "the number of distinct roots". However, whenever a set (as opposed to multiset) is formed, multiplicity is automatically ignored, without requiring use of the term "distinct".
Pattisson
Pattisson is a surname. Notable people with the surname include:

Hoël Pattisson (1905–1979), English cricketer

John Robert Ebenezer Pattisson (1844–1928), Royal Navy officer

Kenneth Pattisson (1916–2002), Royal Navy Fleet Air Arm pilot

Rodney Pattisson, MBE (born 1943), British yachtsman

Walter Pattisson (1854–1913), English amateur cricketer

Rodney Pattisson
Rodney Stuart Pattisson, MBE (born 5 August 1943) is a British yachtsman. He is a double Olympic gold medalist in sailing won at the 1968 Mexico City Olympics and 1972 Munich Olympics both in the Flying Dutchman class.  He also won a silver medal at the 1976 Montreal Olympics in the same class to become Great Britain’s most successful Olympic yachtsman until Ben Ainslie overtook him with 3 gold medals and a silver medal at four different Olympic Games at the 2008 Beijing Olympics. Pattisson was a member of Itchenor Sailing Club.
Music by the Commons
Music by the Commons is an Early music society which organises regular concerts in Wimbledon, South West London, England. It mainly features music written before 1830.

The music is performed on authentic musical instruments.

Harpsichordist
A harpsichordist is a person who plays the harpsichord. Harpsichordists may play as soloists, as accompanists, as chamber musicians, or as members of an orchestra, or some combination of these roles. Solo harpsichordists may play unaccompanied sonatas for harpsichord or concertos accompanied by orchestra. Accompanist harpsichordists might accompany singers or instrumentalists (e.g., a violinist or Baroque flute player), either playing works written for a voice (or an instrument) and harpsichord or an orchestral reduction of the orchestra parts. Chamber musician harpsichordists could play in small groups of instrumentalists, such as a quartet or quintet. Baroque-style orchestras and opera pit orchestras typically have a harpsichordist to play the chords in the basso continuo part.
Wages of Virtue
Wages of Virtue is a 1924 American silent drama film directed by Allan Dwan and written by Forrest Halsey and Percival Christopher Wren. The film stars Gloria Swanson, Ben Lyon, Norman Trevor, Ivan Linow, Armand Cortes, Adrienne D'Ambricourt, and Paul Panzer. The film was released on November 10, 1924, by Paramount Pictures. It was shot at the Astoria Studios in New York.

It is based on a novel by Percival Christopher Wren, best known as the author of Beau Geste. Like that story, Wages of Virtue is based around the French Foreign Legion, and an Italian woman who runs a café in Algiers frequented by the Legionnaires.

Norman Pritchard
Norman Gilbert Pritchard (23 June 1875 – 30 October 1929), also known by his stage name Norman Trevor, was a British-Indian athlete and actor who became the first Asian-born athlete to win an Olympic medal when he won two silver medals in athletics at the 1900 Paris Olympics representing India. He won India's first medal at the Olympics in the 200 metres and the 200 metres hurdles.
West Falkland
West Falkland (Spanish: Isla Gran Malvina) is the second largest of the Falkland Islands in the South Atlantic. It is a hilly island, separated from East Falkland by the Falkland Sound. Its area is  4,532 square kilometres (1,750 square miles), 37% of the total area of the islands. Its coastline is 1,258.7 kilometres (782.1 miles) long.

Stanley, Falkland Islands
Stanley (also known as Port Stanley) is the capital city of the Falkland Islands. It is located on the island of East Falkland, on a north-facing slope in one of the wettest parts of the islands. At the 2021 census, the city had a population of 2,974. The entire population of the Falkland Islands was 3,662 on Census Day – 10 October 2021.

Stanley is represented by five of the eight elected members of the Legislative Assembly of the Falkland Islands: Stacy Bragger, Barry Elsby, Mark Pollard, Roger Spink, and Leona Vidal Roberts. An elected Town Council of Stanley existed from 1948 to 1973.

On 14 June 2022, Stanley received letters patent, formally awarding it city status.
Donna Ladd
Donna Ladd (born October 9, 1961) is an American investigative journalist who co-founded the Jackson Free Press, a community magazine, and later, the Mississippi Free Press, an online news publication that emphasizes solutions journalism where Ladd currently serves as editor. She is noted for highlighting the historical and continuing role of race in current events, for investigative reporting that helped convict klansman James Ford Seale for his role in the 1964 civil rights kidnappings and deaths of Henry Hezekiah Dee and Charles Eddie Moore, and for her coverage of Frank Melton, the controversial mayor of Jackson, Mississippi.

Association of Alternative Newsmedia
The Association of Alternative Newsmedia ("AAN Publishers") is a trade association of alternative weekly newspapers and other local publishers in North America. It provides services to many independently owned and operated publishers focused on local politics, investigations, arts, entertainment and nightlife coverage. AAN also operates AANWire.com, an aggregator of AAN Publisher content.
1990 Georgia gubernatorial election
The 1990 Georgia gubernatorial election was held on November 6, 1990.  Lieutenant Governor Zell Miller ran for governor after incumbent Joe Frank Harris was term-limited, defeating Andrew Young, Roy Barnes, and Lester Maddox for the Democratic nomination, and defeated Johnny Isakson, a member of the Georgia House of Representatives. As of 2022, this is the last time that Dade, Walker, Whitfield, Murray, Gilmer, Fannin, Floyd, Gordon, Pickens, Dawson, Forsyth, Hall, Barrow, Jackson, Madison, White, Walton, Paulding, Carroll, Coweta, Troup, Spalding, Pike, Harris, Glynn, Camden, Bryan, and Effingham counties voted for the Democratic candidate for governor.

Miller later served in the U.S. Senate from 2000 to 2005, and was succeeded by Isakson, who then served until his 2019 resignation.

Barrow County, Georgia
Barrow County is a county located in the East Central region of the U.S. state of Georgia. As of the 2020 census, its population was 83,505.  Its county seat is Winder. Barrow County is included in the Atlanta–Sandy Springs–Roswell metropolitan statistical area.
Suppertime (Jimmie Davis song)
"Supper-Time" is a song written by Ira Stanphill and originally recorded and released as a single in 1953 by Jimmie Davis with Anita Kerr Singers.

The song has been covered by many artists, including Johnny Cash (in 1958), Jim Reeves (1959), Faron Young (1959), Porter Wagoner (1968), Burl Ives (1969), Conway Twitty (1973), and Pat Boone (1973).

Porter Wagoner
Porter Wayne Wagoner (August 12, 1927 – October 28, 2007) was an American country music singer known for his flashy Nudie and Manuel suits and blond pompadour.

In 1967, he introduced singer Dolly Parton on his television show, The Porter Wagoner Show. She became part of a well-known vocal duo with him from the late 1960s to the early 1970s.

Known as Mr. Grand Ole Opry, Wagoner charted 81 singles from 1954 to 1983. He was elected to the Country Music Hall of Fame in 2002.
Chris Forrester
Christopher Stephen Forrester (born 17 December 1992) is an Irish professional footballer who plays as a midfielder for St Patrick's Athletic in the League of Ireland Premier Division. He has also previously played for Bohemians, Peterborough United, Aberdeen and the Republic of Ireland under-21's. In March 2016 he was called up to the Republic of Ireland senior squad but has yet to be capped.

Drogheda United F.C.
Drogheda United Football Club is a professional Irish association football club based in Drogheda, County Louth playing in the League of Ireland Premier Division. They play their home matches at Sullivan & Lambe Park.

The current club is the amalgamation of two former clubs in the town: Drogheda United, a non-league club founded in 1919; and Drogheda F.C., founded in 1962. The clubs merged their operations to form the current club in 1975 and have achieved success since 2005 by winning two Setanta Sports Cups, two FAI Cups, a League Cup and their first league title, the 2007 League of Ireland Premier Division.

Since 2021, the club has competed in the League of Ireland Premier Division, having been automatically promoted as winners of the 2020 League of Ireland First Division.
Alberto Coyote
Héctor Alberto Coyote Tapia (born 26 March 1967) is a Mexican former professional footballer and current manager of Liga de Expansión MX club Tapatío.

As a player, he obtained 54 caps for the Mexico national team between 1992 and 2001, and was a squad member at the 1995 Copa América. He made his international debut on 26 July 1992.

C.D. Tapatío
Club Deportivo Tapatío, simplified as CD Tapatío, is a professional Mexican football club based in Zapopan, Jalisco. It competes in Liga de Expansión MX, the second level division of Mexican football, and plays its home matches at the Estadio Akron. Founded in 1973, the club serves as a reserve team of Guadalajara.

The club competed across various levels of the Mexican football pyramid until its dissolution in 2009. On July 29, 2020, it was refounded in the Liga de Expansión.
800 (number)
800 (eight hundred) is the natural number following 799 and preceding 801.

It is the sum of four consecutive primes (193 + 197 + 199 + 211). It is a Harshad number, an Achilles number and the area of a square with diagonal 40.

Happy number
In number theory, a happy number is a number which eventually reaches 1 when the number is replaced by the sum of the square of each digit. For instance, 13 is a happy number because , and . On the other hand, 4 is not a happy number because the sequence starting with  and  eventually reaches , the number that started the sequence, and so the process continues in an infinite cycle without ever reaching 1. A number which is not happy is called sad or unhappy.

More generally, a -happy number is a natural number in a given number base  that eventually reaches 1 when iterated over the perfect digital invariant function for .

The origin of happy numbers is not clear.  Happy numbers were brought to the attention of Reginald Allenby (a British author and senior lecturer in pure mathematics at Leeds University) by his daughter, who had learned of them at school.  However, they "may have originated in Russia."
Yashveer Singh (Uttarakhand politician)
Choudhary Yashveer Singh is an Indian politician and former member of the Uttarakhand Legislative Assembly. He won elections to the Uttarakhand legislative assembly in 2002 and 2007, representing the Iqbalpur Assembly constituency as a member of the Bahujan Samaj Party. He joined the BJP in 2019.

2007 Uttarakhand Legislative Assembly election
The 2007 Uttarakhand Legislative Assembly election were the 2nd Vidhan Sabha (Legislative Assembly) election of the state of Uttarakhand in India. The elections were held on 21 February 2007, when the Bharatiya Janata Party emerged as the largest party with 35 seats in the 70-seat legislature. One seat short of forming a majority, the BJP have had to rely on support from the Uttarakhand Kranti Dal and three Independents to form the government. The Indian National Congress became the official opposition, holding 21 seats.
Woughton (parish)
Woughton (/ˈwʊftən/ WUUF-tən) is a civil parish in south central Milton Keynes, Buckinghamshire, England. The parish council uses the term Community Council.

The parish takes its name from the original ecclesiastic parish of Woughton and the village of Woughton on the Green. It was reduced in size in 2012 when an area in the east of the parish, including the village of Woughton on the Green, became the separate parish of Old Woughton. Despite the de facto local use of the unqualified name "Woughton", the legal name of the parish is still Woughton-on-the-Green.

Milton Keynes College
52°01′23″N 0°45′25″W﻿ / ﻿52.023°N 0.757°W﻿ / 52.023; -0.757

Milton Keynes College is a general further education and training college, serving the City of Milton Keynes. It also serves the surrounding areas (northern Aylesbury Vale, south Northamptonshire, north west Bedfordshire and north east Oxfordshire). It also provides tertiary education to Foundation Degree level. Its degree-level courses are validated by the Open University and the University of Bedfordshire.
Lions (surname)
Lions is a family name.  Notable people with the family name include:

Jacques-Louis Lions (1928–2001), French mathematician

John Lions (1937–1998), Australian computer scientist

Pierre-Louis Lions (born 1956), French mathematician

John Lions
John Lions (19 January 1937 – 5 December 1998) was an Australian computer scientist. He is best known as the author of Lions' Commentary on UNIX 6th Edition, with Source Code, commonly known as the Lions Book.
Arturo Alonso Tellechea
Arturo Néstor Alonso Tellechea (born 6 August 1983) is a Spanish sailor.

Arturo Alonso sails in the 49er class together with his older brother, Federico Alonso. They won the silver medal at the 2008 European Championships, the gold medal at the 2009 ISAF Sailing World Cup, and the bronze medal at the 2015 World Championships.

49er (dinghy)
The 49er is a double-handed skiff-type high-performance sailing dinghy. The two crew work on different roles with the helm making many tactical decisions, as well as steering, and the crew doing most of the sail control. Both of the crew are equipped with their own trapeze and sailing is done while cantilevered over the water to the fullest extent to balance against the sails.

The 49er was designed by Julian Bethwaite (the son of Frank Bethwaite) and developed by a consortium consisting of Bethwaites, Performance Sailcraft Japan, Peter Johnston, and Ovington boats. The boat has been an Olympic class since it was selected by the International Sailing Federation to be the men's high performance double handed dinghy Sydney Summer Games of 2000. Its derivative featuring a re-designed rig, the 49er FX, was selected by World Sailing to be the women's high performance double-hander at the Rio Summer Olympics of 2016.
Loving U
Loving U is the first summer special album by South Korean girl group Sistar. It was released on 28 June 2012 by Starship Entertainment and distributed by LOEN Entertainment, with the song of the same title used as the promotional song. It is listed as a summer special album and contains two new songs, "Loving U" and "Holiday", and five remixes of the group's past hit-singles.

Summer
Summer or summertime is the hottest and brightest of the four temperate seasons, occurring after spring and before autumn. At or centred on the summer solstice, daylight hours are the longest and darkness hours are the shortest, with day length decreasing as the season progresses after the solstice. The earliest sunrises and latest sunsets also occur near the date of the solstice. The date of the beginning of summer varies according to definition, climate, tradition, and culture. When it is summer in the Northern Hemisphere, it is winter in the Southern Hemisphere, and vice versa.
Ministry of Energy (Russia)
The Ministry of Energy of the Russian Federation is, since 2008, the Russian federal ministry responsible for energy policy.

This ministry was created in May 2008 as part of a reorganization by the incoming government of President Dmitry Medvedev. It is headquartered in Moscow. The former Ministry of Industry and Energy was turned into the Ministry of Industry, whose present Minister is Viktor Khristenko, gaining responsibility for trade policy from the former Ministry of Economic Development and Trade, but losing responsibility for energy policy, which was split off into the new Ministry of Energy. The former Federal Agency for Energy (Rosenergo) was also merged into the new Ministry of Energy.

As of May 2024, the Minister of Energy is Sergey Tsivilyov.

Kuznetsk Basin
The Kuznetsk Basin (Russian: Кузнецкий угольный бассейн, Кузбасс; often abbreviated as Kuzbass or Kuzbas) in southwestern Siberia, Russia, is one of the largest coal mining areas in Russia, covering an area of around 10,000 square miles (26,000 km2). It lies in the Kuznetsk Depression between Tomsk and Novokuznetsk in the basin of the Tom River. From the south it borders the Abakan Range, from the west Salair Ridge, and Kuznetsk Alatau from the east.

It possesses some of the most extensive coal deposits anywhere in the world; coal-bearing seams extend over an area of 10,309 square miles (26,700 km2) and reach to a depth of 5,905 feet (1,800 m). Overall coal deposits are estimated at 725 billion tonnes. The region's other industries, such as machine construction, chemicals and metallurgy, are based on coal mining.
Thomas Spurway
Thomas Spurway (1481/83–1548), of Exeter, Devon, was an English Member of Parliament (MP).

He was a Member of the Parliament of England for Exeter in 1542. He was born in Tiverton, Devon. He was described by his contemporary, John Hooker as: ‘a reasonably tall man of stature, well compact of body, wise [of] nature and discreet, willing to please and loath to offend any man’.

Exeter (UK Parliament constituency)
Exeter (/ˈɛksɪtər/ EK-sit-ər) is a constituency composed of the cathedral city and county town of Devon represented in the House of Commons of the UK Parliament since 2024 by Steve Race of the Labour Party.
Flawless (Yeat song)
"Flawless" (stylized as "Flawlëss") is a song by American rapper Yeat featuring fellow American rapper Lil Uzi Vert. Produced by Bnyx, it was released as the opening track from Yeat's sixth extended play Lyfe (2022).

Working on Dying
Working on Dying is an American producer collective based in Philadelphia, Pennsylvania. It was formed in 2012 by American record producer Richard Ortiz, known professionally as F1lthy, and his younger brother, Jordan Ortiz, who is known professionally as Oogie Mane.
United Team of Germany at the 1960 Summer Olympics
Athletes from East Germany (German Democratic Republic; GDR) and West Germany (Federal Republic of Germany; FRG) competed together as the United Team of Germany at the 1960 Summer Olympics in Rome, Italy. 293 competitors, 238 men and 55 women, took part in 148 events in 17 sports.

United Team of Germany at the Olympics
The United Team of Germany (German: Gesamtdeutsche Mannschaft) was a combined team of athletes from West Germany and East Germany that competed in the 1956, 1960 and 1964 Winter and Summer Olympic Games. In 1956, the team also included athletes from a third Olympic body, the Saarland Olympic Committee, which had sent a separate team in 1952, but in 1956 was in the process of joining the German National Olympic Committee. This process was completed in February 1957 after the admission of Saarland into West Germany.
La France a un incroyable talent: La Bataille Du Jury
La France a un incroyable talent: La Bataille Du Jury aired from June 23, 2020 to July 14, 2020 as a spin-off to the main show, La France a un incroyable talent. Éric Antoine, Hélène Ségara, Marianne James and Sugar Sammy all returned as judges. David Ginola returned as the TV presenter of the show. Each judge chose a team of six contestants, which included five contestants from previous seasons of La France a un incroyable talent and one contestant from an international version of the series, including acts from Britain's Got Talent and America's Got Talent. The winner of the season and the €100,000 prize was motorcyclist Kenny Thomas from team Hélène Ségara. The runner-up was improvisational comedic singer Thomas Boissy from team Éric Antoine.

David Ginola
David Ginola-Ceze (born 25 January 1967) is a French former professional footballer. A television personality, he has also worked as an actor, model and football pundit.

A forward, Ginola played for ten seasons in France with Toulon, Racing Paris, Brest and Paris Saint-Germain before moving to Newcastle United in the English Premier League in July 1995. He subsequently played for Tottenham Hotspur, Aston Villa and Everton before retiring in 2002. At international level, he made 17 appearances, scoring three goals, for the France national team between 1990 and 1995.

Since his retirement from football, he has become involved in football punditry and acting. Ginola is a regular contributor to BBC, BT Sport and CNN. He has hosted Match of ze Day, a program which broadcasts live Premier League matches on Canal+. In January 2015, Ginola attempted to run for the FIFA presidency but withdrew after failing to receive the required backing of at least five national football associations.
Bernard Lepkofker
Bernard Lepkofker (d. March 17, 2014) was a competitive judoka from Brooklyn, New York, in the United States. He was a two-time gold medalist at the Maccabiah Games in Israel, won a New York Judo gold medal, and twice won silver medals in the US national championships.

Maccabiah Games
The Maccabiah Games (Hebrew: משחקי המכביה, or משחקי המכביה העולמית; sometimes referred to as the "Jewish Olympics") is an international multi-sport event with summer and winter sports competitions featuring Jews and Israelis regardless of religion. Held every four years in Israel, the Maccabiah Games is considered the foremost sports competition for global Jewry.

The Maccabiah Games were declared a "Regional Sports Event" by, and under the auspices and supervision of, the International Olympic Committee in 1961.

Organized by the Maccabi World Union, the first games were held in 1932.

The 2022 Maccabiah Games were originally scheduled for 2021, but were postponed and held in 2022 due to the global COVID-19 pandemic, making it the first summer games to be postponed.

The next Maccabiah Games were supposed to be held in Israel between July 1, 2025 and July 22, 2025, but were postponed to the summer of 2026 due to the Iran–Israel war.
Nkima
Nkima is a fictional character in Edgar Rice Burroughs' Tarzan novels, and in adaptations of the saga to other media, particularly comics.
His name comes from either the word N'kima ('monkey' in the Mbugu language, a regional dialect of Swahili), or, after the Meru language nickname for Ugali, a dish popular in Kenya and Tanzania made from maize flour (if the latter, it would be similar to a European giving a child the nickname 'donut' -- a playful, condescending-yet-benevolent term of endearment).

Ugali
Ugali, also known as posho, nsima, papa, pap, mogobe, sadza, isitshwala, akume, amawe, ewokple, akple, and other names, is a type of corn meal made from maize or corn or mahindi flour in several African countries: Kenya, Uganda, Tanzania, Zimbabwe, Zambia, Lesotho, Eswatini, Angola, Mozambique, Namibia, Democratic Republic of the Congo, Malawi, Botswana and South Africa, and in West Africa by the Ewes of Togo, Ghana, Benin, Nigeria and Ivory Coast. It is cooked in boiling water or milk until it reaches a stiff or firm dough-like consistency. In 2017, the dish was added to the UNESCO Representative List of the Intangible Cultural Heritage of Humanity, one of a few foods on the list.