hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Flexible algebra
In mathematics, particularly abstract algebra, a binary operation • on a set is flexible if it satisfies the flexible identity:

for any two elements a and b of the set.  A magma (that is, a set equipped with a binary operation) is flexible if the binary operation with which it is equipped is flexible.  Similarly, a nonassociative algebra is flexible if its multiplication operator is flexible.

Every commutative or associative operation is flexible, so flexibility becomes important for binary operations that are neither commutative nor associative, e.g. for the multiplication of sedenions, which are not even alternative.

In 1954, Richard D. Schafer examined the algebras generated by the Cayley–Dickson process over a field and showed that they satisfy the flexible identity.

Sedenion
In abstract algebra, the sedenions form a 16-dimensional noncommutative and nonassociative algebra over the real numbers, usually represented by the capital letter S, boldface S or blackboard bold ⁠⁠.

The sedenions are obtained by applying the Cayley–Dickson construction to the octonions, which can be mathematically expressed as ⁠⁠. As such, the octonions are isomorphic to a subalgebra of the sedenions. Unlike the octonions, the sedenions are not an alternative algebra. Applying the Cayley–Dickson construction to the sedenions yields a 32-dimensional algebra, called the trigintaduonions or sometimes the 32-nions.

The term sedenion is also used for other 16-dimensional algebraic structures, such as a tensor product of two copies of the biquaternions, or the algebra of 4 × 4 matrices over the real numbers, or that studied by Smith (1995).
Lai King station
Lai King is an MTR station on the Tsuen Wan and Tung Chung lines. The station is located above ground on a viaduct and is an interchange for the Tsuen Wan and Tung Chung lines.

The Chinese name of the station uses the classical character of 茘 instead of the contemporary version of 荔. The former is regarded as orthodox per the Kangxi dictionary. The same goes for Lai Chi Kok station which shares the same character.

Lai King Estate
Lai King Estate (Chinese: 荔景邨) is a public housing estate in Lai King, Kwai Chung, New Territories, Hong Kong and is one of the oldest public housing estates in Kwai Tsing District. It is divided into two phases and consists of a total of eight residential buildings completed in 1975 (Phase 1), 1976 (Phase 2) and 2022 (Heng King House) respectively. Lai King station is located between the two phases.

Yuet Lai Court (悅麗苑) and Yin Lai Court (賢麗苑) are Home Ownership Scheme housing courts in Kwai Chung near Lai King Estate, built in 1981 and 1991 respectively.
Fuji-Q Highland
Fuji-Q Highland (富士急ハイランド, Fujikyū Hairando; formerly the Fujikyu Highland) is an amusement park in Fujiyoshida, Yamanashi, Japan, owned and operated by the namesake Fuji Kyuko Co. It opened on 2 March 1968.

The park is near the base of Mount Fuji. It has a number of roller coasters, as well as two haunted attractions: the Haunted Hospital, the world's largest haunted attraction, and the Hopeless Fortress. Other attractions include Thomas Land, a children's area with a Thomas the Tank Engine theme, and attractions themed to Mobile Suit Gundam, Hamtaro and Neon Genesis Evangelion.

It was also the location of the former Do-Dodonpa (ド･ドドンパ) roller coaster, which once held the record for fastest acceleration of any roller coaster in the world.

Thomas Land (Fuji-Q Highland)
Thomas Land (トーマスランド) is a themed children's amusement section based on Thomas & Friends in Fuji-Q Highland, an amusement park in Fujiyoshida, Yamanashi, Japan. The section opened in 1998.

Attractions include Thomas' Treasure Hunt (a story-driven narrated indoor rail ride), Thomas & Percy's Fun Ride (an outdoor rail ride), Go! Go! Bulstrode! (a water raft rail ride), Mischievous Cranky (a rotating aerial ride), Nia and Animal Coaster (a roller coaster for small children), 3D Maze - Thomas Circus (a Thomas-themed hedge maze), and monuments to Thomas and Percy for photo opportunities.

Thomas Land is different from the smaller Thomas Town attractions in Japan, one in Shinmisato, and the other in Kurashiki.
Route nationale 177
The RN177 is a trunk road (nationale) in France linking Pont-l'Évêque and Trouville-sur-Mer. The road is in fact a section of the former RN834. The RN177 was until the 1972 reclassification scheme a link between Villers-Bocage and Redon.

The old RN177 was declassified into RD577 in Calvados, RD977 in Manche and RD177 in Ille-et-Vilaine. The RN177 has since 2006 been declassified into the RD677.

In a strange move by the Calvados DDE, drivers wishing to reach Deauville and the Côte Fleurie are advise not to use the trunk road but to use the single carriageway RD27A that follows a similar course along the Lisieux-Deauville railway line. Weekend tourists are often caught in traffic jams on the A132 while wanting to join the RN177 as well as at Bonneville-sur-Touques roundabout where several départementales converge. It is also at that location that the gendarmerie sets up speed cameras and alcohol control.

Pont-l'Évêque, Calvados
Pont-l'Évêque (French pronunciation: [pɔ̃ levɛːk] ⓘ) is a commune in the Calvados department in the Normandy region in northwestern France. It is known for Pont-l'Évêque cheese, a type of soft cheese, the oldest Normandy cheese in production.
Dance Dance Revolution (2013 video game)
Dance Dance Revolution (ダンスダンスレボリューション, DansuDansuReboryūshon) (DDR) is a music video game, the 14th installment of the Dance Dance Revolution series, and the sequel to Dance Dance Revolution X3 vs. 2ndMix. The game was revealed by Konami on October 24, 2012. Public beta testing commenced on October 26, 2012. It was released in Japan on March 14 and 21, 2013 for dedicated cabinets and upgrade kits, respectively, and in Asia on March 21, 2013. A limited test release occurred at select locations in the United States, beginning on August 4, 2015.

After the release of Dance Dance Revolution in 2014, which is the 15th installment, it was succeeded by Dance Dance Revolution A in 2016.

Dance Dance Revolution A
Dance Dance Revolution A (pronounced Ace) is a music video game, the 16th installment of the Dance Dance Revolution arcade series in Japan (the 8th in Europe and the 7th in North America), and the sequel to the 2014 release of Dance Dance Revolution. It was released on March 30, 2016 in Japan and Asia as a dedicated cabinet and as an upgrade kit, with Japan receiving a localized build, while the Korean release was delayed to the next week. This game was also released in North America later in 2016, in the form of new cabinets with e-Amusement connectivity, while Europe received new offline cabinets on December 15, 2017. It is the first international arcade release of Dance Dance Revolution since Dance Dance Revolution X2.

A sequel, titled Dance Dance Revolution A20, was released in 2019 to celebrate the 20th anniversary of the series.
Huey's Cooking Adventures
Huey's Cooking Adventures is an Australian television series featuring chef Iain Hewitson.
It screened at daytime on Monday to Friday throughout its run on Network Ten, including most recently at 4:00pm. The show began airing in 1997 on the Seven Network, before defecting to Ten soon after where the show has found popularity with daytime audiences. The program was replaced with a new, albeit similar, series Huey's Kitchen from March 2010.

Huey's Kitchen
Huey's Kitchen is an Australian television series featuring chef Iain Hewitson cooking recipes that everyday cooks can try. The show airs on the Ten Network at varying times.

The first season premiered on 29 March 2010 and ran for 180 episodes till 24 December 2010. The second season started airing on 18 July 2011 until 18 November 2011 for 90 episodes, while the third started on 27 August 2012 until 11 January 2013 for 90 episodes. The fourth season started on 26 August 2013 until 10 January 2014 for 90 episodes. Repeats are also shown at varying times.

The program replaced an older, yet similar, series: Huey's Cooking Adventures. As with the previous series, Huey's Kitchen features an advertorial towards the end of some episodes for its major sponsor.
My Man Music
"My Man Music" is a song by British girl-group Stooshe from their debut album London with the Lights On. Produced by Future Cut, it was released as the album's fourth single by Warner Music UK from 28 July 2013. "My Man Music" is a reggae themed song about being in love with music so much, it is like an alternative to having a partner. It is also about appreciating different types of music. The song was recorded in 2010 and has its own dance routine It was described by group member Alexandra Buggs as having a "summer feel". The accompanying music video was directed by Courtney Phillips and released on 20 June 2013. It depicts the group singing the track at a roof party.

London with the Lights On
London with the Lights On is the debut studio album by English girl group Stooshe. It was originally set for release on 25 June 2012 under the name of Swings and Roundabouts, but was held back twice; under the new self-titled name and was name changed and released on 27 May 2013.

"Love Me" was released on 4 March 2012 as the album's lead single, peaking at number 5 on the UK Singles Chart. "Black Heart" was released as the second single on 15 June 2012 and became the group's highest-charting single to date, peaking at number 3. The third single from the album was initially intended to be "Waterfalls", a cover of the TLC song, which was released on 11 November 2012; however, Stooshe later revealed that it would not make the cut for the final track list and that they were disowning it. "Slip" was released as the album's third single on 12 May 2013, peaking at number 12.
Princess Helen of Waldeck and Pyrmont
Princess Helen of Waldeck and Pyrmont (Helen Frederica Augusta; 17 February 1861 – 1 September 1922), later Duchess of Albany, was a member of the British royal family by marriage. She was the fifth daughter and child of George Victor, Prince of Waldeck and Pyrmont, and his first wife, Princess Helena of Nassau.

George Victor, Prince of Waldeck and Pyrmont
George Victor (14 January 1831 – 12 May 1893) was the 3rd sovereign Prince of the German state of Waldeck and Pyrmont.

He was born in Bad Arolsen, the son of George II, Prince of Waldeck and Pyrmont, and Princess Emma of Anhalt-Bernburg-Schaumburg-Hoym. He succeeded as prince originally under the guardianship of his mother in 1845 following the death of his father.

He died of pneumonia in Marienbad, Bohemia, in 1893 and was succeeded by his eldest son, Friedrich.
Lake Suggs
Lake Suggs, alternatively called Suggs Lake, is a lake in Putnam County, Florida. It is within the Ordway-Swisher Biological Station of the Institute of Food and Agricultural Sciences. It is a marshy seepage lake and considered a baygall.

The chemical concentrations of the lake have been studied since the 1970s. Groundwater monitoring wells have been placed around Lake Suggs and nearby Lake Barco to study the hydrology of the area.

Lake Barco
Lake Barco is a lake in Putnam County, Florida, United States. It is within the Ordway-Swisher Biological Station of the Institute of Food and Agricultural Sciences. It is roughly circular, about 200 metres (660 ft) in diameter. The nearest settlement is Melrose, Florida, about 5 kilometres (3.1 mi) to the northwest.
Tommy Henderson
Thomas Gibson Henderson (13 October 1887 – 14 August 1970) was an  Independent unionist politician. He served in the House of Commons of Northern Ireland from 1925 to 1953 in vigorous opposition to the Unionist governments on all issues other than the partition of Ireland, and is famous for having at one stage spoken for nearly ten hours to outline his disagreements.

House of Commons of Northern Ireland
The House of Commons of Northern Ireland was the lower house of the Parliament of Northern Ireland created under the Government of Ireland Act 1920. The upper house in the bicameral parliament was called the Senate. It was abolished with the passing of the Northern Ireland Constitution Act 1973.
Doug Rombough
Douglas George Rombough (July 8, 1950 – June 20, 2015) was a Canadian professional ice hockey centre.  He was drafted in the eighth round, 97th overall, by the Buffalo Sabres in the 1970 NHL Amateur Draft. He played in the National Hockey League with the Sabres, New York Islanders, and Minnesota North Stars between 1973 and 1975. Rombaugh was born in Fergus, Ontario and raised in Fort Erie, Ontario.

In his NHL career, Rombough appeared in 150 games. He scored twenty-four goals and added twenty-seven assists.

On June 20, 2015, Rombough died In the hospital in Plantation, Florida. He was the brother of Lorne Rombough, who played briefly in the WHA.

Lorne Rombough
Lorne David Rombough (April 2, 1948- November 13, 2019) was a Canadian professional ice hockey player.

During the 1973–74 season, Rombough played three games in the World Hockey Association with the Chicago Cougars. He is the brother of NHL player Doug Rombough.
280th Special Operations Communications Squadron
The Air National Guard's 280th Special Operations Communications Squadron (280th SOCS) is a communications unit located at Hall Air Guard Station, Dothan Regional Airport, Alabama.  The 280th SOCS provides tactical communication services to state, military and federal agencies utilizing state of the art information systems. The 280th SOCS provides over 44% of Air Force Special Operations Command's deployed communications capabilities.

226th Combat Communications Group
The United States Air Force's 226th Combat Communications Group is a combat communications headquarters unit located at Abston Air National Guard Station in Montgomery, Alabama.  The group is one of two Air National Guard combat communications groups nationwide, which together constitute over 60% of the U.S. Air Force's tactical communications capability. The 226th is one of three major organizations that make up the Alabama Air National Guard.
Michael Sussmann
Michael A. Sussmann (born 1964) is the Chair of the Privacy and Cybersecurity Practice at Fenwick & West. He is a former federal prosecutor and former partner at the law firm Perkins Coie, where he focused on privacy and cybersecurity law. Sussmann represented the Democratic National Committee (DNC) and retained CrowdStrike to examine its servers after Russian hackers penetrated DNC networks during the 2016 U.S. elections.

In September 2016, Sussmann met with FBI General Counsel James Baker to present data alleging communications between Alfa-Bank servers and the Trump Organization. In 2021, Special Counsel John Durham indicted Sussmann for making a false statement, alleging he told Baker he was not acting on behalf of any client when he was representing the Hillary Clinton 2016 presidential campaign. Sussmann pleaded not guilty and was acquitted by a jury in May 2022.

James A. Baker (government attorney)
James Andrew Baker is a former American government official at the Department of Justice who served as general counsel for the Federal Bureau of Investigation (FBI) and later served as deputy general counsel at Twitter, Inc. before being fired by Elon Musk in December 2022.

A graduate of the University of Notre Dame and the University of Michigan Law School, he joined the Department of Justice in 1990.

In December 2017, he was replaced as general counsel and reassigned to a different position within the FBI. It was revealed in April 2018, that he was a recipient of at least one Comey memo. In May 2018, Baker resigned from the FBI and joined the Brookings Institution as a fellow, writing  for the justice-focused website, Lawfare. In January 2019, Baker left Brookings to become director of national security and cybersecurity at the R Street Institute think-tank.

Baker also teaches at Harvard Law School.
South African Class S2 0-8-0
The South African Railways Class S2 0-8-0 of 1952 was a steam locomotive.

In 1952 and 1953, the South African Railways placed one hundred Class S2 shunting steam locomotives with an 0-8-0 wheel arrangement in service.

South African Class 19D 4-8-2
The South African Railways Class 19D 4-8-2 of 1937 was a steam locomotive.

Between 1937 and 1949, the South African Railways placed 235 Class 19D steam locomotives with a 4-8-2 Mountain type wheel arrangement in service. Between 1951 and 1955, 33 more were built for other operators like the Rhodesia and Angolan railways and the Nkana and Wankie mines, which makes the Class 19D the most numerous South African steam locomotive type ever built.
Ulmus × diversifolia
Ulmus × diversifolia, also known as the diverse leaved elm, was originally described by Melville in 1939 as a new species, U. diversifolia, though he later believed it a natural hybrid of Coritanian elm, Plot elm and Wych elm. He recorded its distribution in Hertfordshire, between Hatfield, Hertford and Watton-at-Stone, and in Suffolk, where it was common along the coastal plain from Ipswich and Felixstowe to Lowestoft and Beccles, occurring inland as far as Diss and Debenham, and probably extending further north into Norfolk and south towards Colchester, Essex. He accordingly referred to it as "the East Anglian elm".

The inclusion of the disputed  U. coritana in its parentage has affected the reception of U. × diversifolia. Richens, who rejected the former, ignored × diversifolia in his study of East Anglian elms.

Ulmus minor 'Coritana'
The Field Elm cultivar Ulmus minor 'Coritana' was originally claimed by Melville, while he was searching in the neighbourhood of Leicestershire in 1936 for U. elegantissima, as a new species, which he called U. coritana. He later recorded its distribution in the counties of Bedfordshire, Berkshire, Buckinghamshire, Cambridgeshire, Essex, Hertfordshire, Leicestershire, Nottinghamshire, Norfolk, Oxfordshire, Suffolk and Warwickshire. Richens, however, dismissed U. coritana as 'an artificial aggregate' of local forms of Field Elm. Bean noted (1988) that Melville's U. coritana was not recognised in the Flora of the British Isles as a species distinct from U. carpinifolia [:U. minor].

By the proposed rule that known or suspected clones of U. minor, once cultivated and named, should be treated as cultivars, the tree would be designated U. minor 'Coritana'.
Bedford, Texas
Bedford is a city located in northeastern Tarrant County, Texas, United States, in the "Mid-Cities" area between Dallas and Fort Worth. It is a suburb of Dallas and Fort Worth. The population was 49,928 at the 2020 census. Bedford is part of the Hurst-Euless-Bedford Independent School District.

Hurst-Euless-Bedford Independent School District
Hurst-Euless-Bedford Independent School District (HEB ISD) is a K-12 public school district based in Bedford, Texas (USA). The district serves the city of Bedford, most of the cities of Euless and Hurst, and small parts of North Richland Hills, Colleyville, Fort Worth, and Arlington. The district operates twenty-one elementary schools, five junior high schools, two traditional high schools, and additional specialized facilities.

HEB ISD offers "Schools of Choice" programs, which provide unique opportunities for students to develop skills beyond standard primary and secondary school curriculum.  The district was named by Education Resource Group in 2008–2011 as the top district in the state and has been recognized for achievements in academics and student performance, music education, public relations practices, operating efficiency, and teacher salaries. In August 2018, HEB ISD was rated "A" by the Texas Education Agency, placing it in the top quintile of Texas school districts.
Jack Clement
Jack Henderson Clement (April 5, 1931 – August 8, 2013) was an American musician, songwriter, record producer, film producer, and music executive.

He was producer and engineer for Sam Phillips at Sun Records in its early days, discovering Jerry Lee Lewis and recording the "Million Dollar Quartet" session with Lewis, Carl Perkins, Elvis Presley, and Johnny Cash.

Clement played a key role in launching the career of Charley Pride, writing several of Pride's biggest hit songs and producing 20 albums for the singer. Clement was inducted into the Nashville Songwriters Hall of Fame, Rockabilly Hall of Fame, Memphis Music Hall of Fame, and Music City Walk of Fame.

Memphis Music Hall of Fame
The Memphis Music Hall of Fame, located in Memphis, Tennessee, honors Memphis musicians for their lifetime achievements in music. The induction ceremony and concert is held each year in Memphis. Since its establishment in 2012, the Hall of Fame has inducted more than 48 individuals or groups. It is administered by the non-profit Memphis Rock N' Soul Museum. In July 2015, the Memphis Music Hall of Fame opened a 'brick and mortar' museum and exhibit hall, which features memorabilia, video interviews, and interactive exhibits.
Wholly Earth
Wholly Earth is an album by jazz vocalist Abbey Lincoln. Featuring seven original songs, it was recorded during June 3–5, 1998, at Avatar Studios in New York City, and was released in 1999 by Verve Records and Gitanes Jazz Productions. On the album, Lincoln is joined by a core group consisting of vibraphonist Bobby Hutcherson, pianist Marc Cary, double bassist John Ormond, and drummer Alvester Garnett, plus guests Nicholas Payton (trumpet and flugelhorn), James Hurt (piano), Michael Bowie (double bass), Daniel Moreno (percussion), and Maggie Brown (vocals).

Nicholas Payton
Nicholas Payton (born September 26, 1973) is an American trumpet player and multi-instrumentalist. A Grammy Award winner, he is from New Orleans, Louisiana. He is also a writer who comments on subjects including music, race, politics, and life in America.
Zhang Li (fencer)
Zhang Li (simplified Chinese: 张莉; traditional Chinese: 張莉; pinyin: Zhāng Lì; born November 29, 1981, in Yingkou, Liaoning) is a female Chinese épée fencer.

Zhang won the gold medal in the épée team event at the 2006 World Fencing Championships after beating France in the final. She accomplished this with her teammates Li Na, Luo Xiaojuan and Zhong Weiping.  She also represented China at the 2004 Athens Olympics, finishing 6th in both the individual and team épée events.

Zhong Weiping
Zhong Weiping (simplified Chinese: 仲维萍; traditional Chinese: 仲維萍; pinyin: Zhòng Wéipíng; born October 23, 1981, in Shanghai) is a female Chinese épée fencer.

Zhong won the gold medal in the épée team event at the 2006 World Fencing Championships after beating France in the final. She accomplished this with her team mates Li Na, Luo Xiaojuan and Zhang Li. She also competed for China at the 2004 Athens Olympics, finishing 10th in the individual épée and 6th in the team épée events.
Mbhongweni
Mbhongweni (formerly Mbongweni) is a village in Winnie Madikizela-Mandela Local Municipality in the Eastern Cape province of South Africa. It is situated 33 km away from Mbizana.

The village is popularly known for the birth of Winnie Madikizela Mandela and Babalo Madikizela.

Babalo Madikizela
Babalo Madikizela is a South African urban planner and politician who served as the Eastern Cape MEC for Public Works from May 2019 to July 2022 and as a Member of the Eastern Cape Provincial Legislature from November 2018 to August 2022. Madikizela served as the provincial treasurer of the African National Congress (ANC) from October 2017 to May 2022.