hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Tensor product of fields
In mathematics, the tensor product of two fields  is their tensor product as algebras over a common subfield. If no subfield is explicitly specified, the two fields must have the same characteristic and the common subfield is their prime subfield.

The tensor product of two fields is sometimes a field, and often a direct product of fields; in some cases, it can contain non-zero nilpotent elements.

The tensor product of two fields expresses in a single structure the different way to embed the two fields in a common extension field.

Field extension
In mathematics, particularly in algebra, a field extension is a pair of fields , such that the operations of K are those of L restricted to K. In this case, L is an extension field of K and K is a subfield of L. For example, under the usual notions of addition and multiplication, the complex numbers are an extension field of the real numbers; the real numbers are a subfield of the complex numbers.

Field extensions are fundamental in algebraic number theory, and in the study of polynomial roots through Galois theory, and are widely used in algebraic geometry.
2010–11 Championnat de France Amateur 2
The 2010–11 Championnat de France amateur 2 was the 13th edition since its establishment. The reserves of Metz were the defending champions. Due to the elongated appeals process involving each clubs' eligibility, the groups and fixtures were unveiled to the public on 15 July 2010 and the season began on 21 August and ended on 4 June 2011. There were 22 promoted teams from the regional leagues of the Division d'Honneur, replacing the 22 teams that were relegated from the Championnat de France amateur 2 following the 2009–10 season. A total of 130 teams competed in the league with 22 clubs suffering relegation to the sixth division, the Division d'Honneur. All non-reserve clubs that secured league status for the season were subject to approval by the DNCG before becoming eligible to participate.

2009–10 Championnat de France Amateur 2
The 2009–10 Championnat de France Amateurs 2 season was the 12th edition of the competition since its establishment. The competition officially began on 15 August and ended in May 2010. The competition consisted of 128 clubs spread into 8 parallel groups of 16. It was open to reserve teams in France and amateur clubs in France, however, unlike the preceding league Championnat de France amateur, both the reserve and amateur clubs are eligible for promotion to the next league, the Championnat de France amateur. The highest-placed team in each pool are promoted, replaced by the 3 lowest-placed in the Championnat de France amateur.
Miss Charm 2025
Miss Charm 2025 was the third edition of the Miss Charm pageant held at the BHD Studio in Ho Chi Minh City, Vietnam, on 12 December 2025.

Miss Charm 2024, Rashmita Rasindran of Malaysia, crowned Anna Blanco of Venezuela as her successor at the conclusion of the event.

Miss Charm 2024
Miss Charm 2024 was the second edition of the Miss Charm pageant, held at the Nguyen Du Stadium in Ho Chi Minh City, Vietnam on 21 December 2024. Contestants from thirty-six countries and territories participated in this year's pageant.

Luma Russo of Brazil crowned Rashmita Rasindran of Malaysia as her successor at the end of the event.
Hélio Sousa
Hélio Filipe Dias de Sousa CvIH (born 12 August 1969) is a Portuguese professional football manager and former player who played as a central midfielder. He is the manager of the Kuwait national team.

He spent his entire career at Vitória de Setúbal, and was part of the Portugal squad that won the 1989 FIFA World Youth Championship. He started working as a manager in 2005.

Portugal national under-20 football team
The Portugal national under-20 football team is the national under-20 football team of Portugal and is controlled by the Portuguese Football Federation, the governing body for football in Portugal.

The U20 team acts mainly as a feeder team for the under-21s and provides further international development for youth players. The team qualified for its only official match, FIFA U-20 World Cup, depends on U19 results.

The Portuguese team has 12 participations in the FIFA U-20 World Cup and 12 in the Toulon Tournament.
2 21 polytope
In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it an 6-ic semi-regular figure. It is also called the Schläfli polytope.

Its Coxeter symbol is 221, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of one of the 2-node sequences.  He also studied its connection with the 27 lines on the cubic surface, which are naturally in correspondence with the vertices of 221.

The rectified 221 is constructed by points at the mid-edges of the 221. The birectified 221 is constructed by points at the triangle face centers of the 221, and is the same as the rectified 122.

These polytopes are a part of family of 39 convex uniform polytopes in 6-dimensions, made of uniform 5-polytope facets and vertex figures, defined by all permutations of rings in this Coxeter-Dynkin diagram: .

Coxeter–Dynkin diagram
In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing a Coxeter group or sometimes a uniform polytope or uniform tiling constructed from the group.

A class of closely related objects is the Dynkin diagrams, which differ from Coxeter diagrams in two respects: firstly, branches labeled "4" or greater are directed, while Coxeter diagrams are undirected; secondly, Dynkin diagrams must satisfy an additional (crystallographic) restriction, namely that the only allowed branch labels are 2, 3, 4, and 6. Dynkin diagrams correspond to and are used to classify root systems and therefore semisimple Lie algebras.
George Furey
George J. Furey PC KC (born May 12, 1948) is a Canadian politician who served as the speaker of the Senate of Canada from 2015 to 2023. Furey was appointed as a senator from Newfoundland and Labrador in 1999 and was the longest-serving member of the Senate at the time of his retirement.

King's Privy Council for Canada
The King's Privy Council for Canada (French: Conseil privé du Roi pour le Canada), sometimes called His Majesty's Privy Council for Canada or simply the Privy Council (PC), is the full group of personal advisors to the monarch of Canada on state and constitutional affairs. Practically, the tenets of responsible government require the sovereign or his viceroy, the governor general, almost always to follow only that advice tendered by the Cabinet: a committee within the Privy Council composed usually of elected members of Parliament. Those summoned to the Privy Council are appointed for life by the governor general on the advice of the prime minister. The group is composed predominantly of former Cabinet ministers, with some others having been inducted as an honorary gesture. Privy counsellors are accorded the use of an honorific style and post-nominal letters, as well as various signifiers of precedence.
Shuswap-Revelstoke
Shuswap-Revelstoke was a provincial electoral district of British Columbia, Canada, from 1979 to 1991. The riding was formed by merging the northern portions of the Revelstoke-Slocan riding with the Shuswap riding. The successor riding for the Revelstoke area is the current Columbia River-Revelstoke riding.

Salmon Arm-Shuswap
Salmon Arm-Shuswap (formerly Shuswap from 1991 until 2024) is a provincial electoral district for the Legislative Assembly of British Columbia, Canada.

It is the successor riding to the old Salmon Arm riding. The riding adopted its current name and had minor boundary changes from the 2024 election, which implemented the results of the 2021 redistribution.
Cape Cod Publishing Company
Cape Cod Publishing Company, based in Orleans, Massachusetts, United States, was a publisher of weekly newspapers in the 1990s. It was created by Fidelity Investments as a holding company for newspapers acquired on Cape Cod, and eventually folded into Fidelity's Community Newspaper Company. CNC is now owned by GateHouse Media.

Community Newspaper Company
Community Newspaper Company, or CNC, was the largest publisher of weekly newspapers in eastern Massachusetts in the 1990s and first decade of the 21st century. It also published several daily newspapers in Greater Boston.

The company's properties were assembled by Fidelity Investments in the 1980s; Fidelity founded the company and then sold it to the Boston Herald in 2001. Five years later, the chain was purchased by, and immediately became the largest single component of, GateHouse Media. GateHouse gradually phased out CNC branding in favor of "WickedLocal.com", the company's website, and GateHouse Media New England; this process was complete by 2011, when staff email addresses dropped the "@cnc.com" domain.
Bangin Westcoast
Bangin West Coast is the second studio album by American rapper and record producer Soopafly. It was officially released on May 8, 2007, through Gangsta Advisory Recordingz, despite the advance leaked in 2006. Production was handled by Soopafly himself, who also served as executive producer together with Daz Dillinger, Mr. Porter, DEA, DJ Battlecat, DJ Sebb, E-Swift and Exile. It features guest appearances from Tha Dogg Pound, Snoop Dogg, B-Real, LaToyia Williams and Nate Dogg.

Denaun Porter
Denaun Montez Porter (born December 7, 1978), also known by the stage names Mr. Porter, Kon Artis, or Denaun, is an American rapper and record producer. He was a member of Detroit hip hop group D12.

He has a close association with rapper Eminem, producing for him and often appearing on his tours, Porter has produced for a multitude of other notable artists such as 50 Cent, Royce da 5'9", The Game, Pharoahe Monch, Method Man, Nas, Snoop Dogg, Jadakiss and more. He formed the supergroup Read the PDF with fellow Aftermath Entertainment producers, Dem Jointz and Focus… in 2022.
Breeders' Futurity Stakes
The Breeders' Futurity Stakes is an American Grade I Thoroughbred horse race held annually in early October at Keeneland Race Course in Lexington, Kentucky. Currently offering a purse of $650,000, the race is open to two-year-old horses and is run at a distance of one and one-sixteenth miles on the dirt. From 1997 to 2008, the race was sponsored by Lane's End Farm. From 2009 to 2013 it was sponsored by Dixiana Farm. It is now sponsored by Claiborne Farm.

Claiborne Farm
Claiborne Farm is a thoroughbred horse breeding operation near Paris, Kentucky. It was established in 1910 by Arthur B. Hancock, owner of Ellerslie Stud in Albemarle County, Virginia, and has been operated by members of his family ever since.
Francis Coates Jones
Francis Coates Jones (July 25, 1857
–1932) was an American painter from a wealthy Baltimore family who studied in Europe under painters such as Bouguereau. He is known for his paintings of women at ease in richly decorated interiors or in flower-filled gardens.

William-Adolphe Bouguereau
William-Adolphe Bouguereau (French pronunciation: [ˈwiljam ˈadɔlf ˈbuɡ(ə)ʁo]; 30 November 1825 – 19 August 1905) was a French academic painter. In his realistic genre paintings, he used mythological themes, making modern interpretations of classical subjects, with an emphasis on the female human body. During his life, he enjoyed significant popularity in France and the United States, was given numerous official honors, and received top prices for his work. As the quintessential salon painter of his generation, he was reviled by the Impressionist avant-garde. By the early twentieth century, Bouguereau and his art fell out of favor with the public, due in part to changing tastes. In the 1980s, a revival of interest in figure painting led to a rediscovery of Bouguereau and his work. He finished 822 known paintings, but the whereabouts of many are still unknown.
BC Sakalai
BC Sakalai was a professional basketball club based in Vilnius, Lithuania, playing in the Lithuanian Basketball League and the Baltic Basketball League. They played their home games at the 1,000-seat Ekinstos laisvalaikio centras.

Sakalai means falcons in the Lithuanian language.

Baltic Basketball League
Baltic Basketball League (BBL) was the Baltic states basketball league founded in 2004. The league mainly focused on teams from the Baltic states, but teams from Sweden, Russia, Kazakhstan, Finland, and Belarus have participated in the Baltic League. After the 2017–18 season, the league announced that it was suspending its operations.
Swedish Cricket Federation
Cricket Sweden (Swedish: Svenska Cricketförbundet) was established in 1990, and is the administrative organisation for all cricket in Sweden. The Swedish Cricket Federation is an associate member of the International Cricket Council. In 1998, there were approx. 500 registered cricket players in Sweden. In 2016 Radio Sweden reported there was an estimated 55 teams and 3,000 registered players; the surge, similar to that in Germany, has been attributed to an influx of immigrants from Afghanistan and other cricket-loving countries. The social side of the game has been praised for its ability to integrate new arrivals. In 2015 the Swedish Cricket Federation joined the Swedish Sports Confederation. While gaining in popularity, it is said that the game still lags behind cricket in Norway in popularity.

Swedish Sports Confederation
The Swedish Sports Confederation (Swedish: Riksidrottsförbundet, RF) is the umbrella organisation of the Swedish sports movement founded in 1903. Through its member organisations, it has three million members in 22,000 clubs. Its present chair, since 2024, is Anna Iwarsson.

The Swedish Sports Confederation has its offices at Idrottens hus by Skanstull in Stockholm.
72nd Pennsylvania Infantry Monument
The 72nd Pennsylvania Infantry Monument is an 1891 statuary memorial on the Gettysburg Battlefield. It is located on Cemetery Ridge, by The Angle and the copse of trees, where Union forces – including the 72nd Pennsylvania Infantry – beat back Confederate forces engaged in Pickett's Charge.

The monument was the subject of a Pennsylvania Supreme Court case over control of the battlefield. It is depicted on the 2011 "Gettysburg" America the Beautiful quarter commemorative coin.

The regiment erected an earlier monument in 1883. To avoid confusion, that is now usually referred to as the "Philadelphia Brigade" Monument.

The Angle
The Angle (Bloody Angle colloq.) is a Gettysburg Battlefield area which includes the 1863 Copse of Trees used as the target landmark for Pickett's Charge, the 1892 monument that marks the high-water mark of the Confederacy, a rock wall, and several other Battle of Gettysburg monuments.
IV liga Lesser Poland
IV liga Lesser Poland group (grupa małopolska), also known as Texom IV liga małopolska for sponsorship reasons, is one of the groups of IV liga, the fifth level of Polish football league system.
The league was created in the 2000–01 season after a new administrative division of Poland was introduced. Until the end of the 2007–08 season, IV liga was the fourth tier of league competition in Poland, but this was changed with the formation of the Ekstraklasa as the top level league in Poland.

The clubs from Lesser Poland Voivodeship compete in this group. The winner of the league is promoted to III liga, group IV. The bottom teams are relegated to the one of two Lesser Poland groups of the V liga.

Lesser Poland regional leagues
The Lesser Poland regional leagues, or the Ligi regionalne - Małopolski ZPN (English: Regional leagues - Lesser Poland Football Association) are the tier five to tier nine of the football leagues of the  Polish football hierarchy organized in Lesser Poland.

The tournaments are organized by the Lesser Poland Football Association (Polish: Małopolski Związek Piłki Nożnej; MZPN).
Tammie Jo Shults
Tammie Jo Shults (née Bonnell; born November 2, 1961) is an American retired airline captain, former naval aviator, and author. She was one of the first female fighter pilots to serve in the United States Navy. Following her active duty service, she became a pilot for Southwest Airlines until her retirement in 2020.

On April 17, 2018, as captain of Southwest Airlines Flight 1380, she safely landed a Boeing 737-700 after the aircraft suffered an uncontained engine failure with debris causing rapid decompression of the aircraft.

Uncontrolled decompression
An uncontrolled decompression is an undesired drop in the pressure of a sealed system, such as a pressurised aircraft cabin or hyperbaric chamber, that typically results from human error, structural failure, or impact, causing the pressurised vessel to vent into its surroundings or fail to pressurize at all.

Such decompression may be classed as explosive, rapid, or slow:

Explosive decompression (ED) is violent and too fast for air to escape safely from the lungs and other air-filled cavities in the body such as the sinuses and eustachian tubes, typically resulting in severe to fatal barotrauma.

Rapid decompression may be slow enough to allow cavities to vent but may still cause serious barotrauma or discomfort.

Slow or gradual decompression occurs so slowly that it may not be sensed before hypoxia sets in.
Free Will Baptist
Free Will Baptists or Free Baptists are a sub-group of General Baptists that emphasizes the teaching of free salvation and free will. The group can be traced back to 17th century England.

In 1702, Paul Palmer would go on to establish the Free Will Baptists in North Carolina and in 1727 formed the Free Will Baptist Church of Chowan. Many Calvinists became Free Will Baptists in the 19th century. With the establishment of Free Will Baptists in the South, Benjamin Randall developed the movement in the Northeastern United States.

Being the Free Will Baptists a sub-group originating from the General Baptist (Arminian) strand of the Baptist tradition, they, also in common with other Dissenters from the Church of England, followed the notion of self-governance of local churches.

Chowan County, North Carolina
Chowan County (/tʃoʊˈwɒn/ choh-WON) is one of the 100 counties located in the U.S. state of North Carolina. As of the 2020 census, the population was 13,708. Its county seat is Edenton. The county was created between 1668 and 1671 as Shaftesbury Precinct and later renamed Chowan Precinct. It gained county status in 1739.
Hawker Hart
The Hawker Hart is a British two-seater biplane light bomber aircraft that saw service with the Royal Air Force (RAF). It was designed during the 1920s by Sydney Camm and manufactured by Hawker Aircraft. The Hart was a prominent British aircraft in the inter-war period, but was obsolete and already side-lined for newer monoplane aircraft designs by the start of the Second World War, playing only minor roles in the conflict before being retired.

Several major variants of the Hart were developed, including a navalised version for the Royal Navy's aircraft carriers. The Hart was also operated by foreign nations, including Sweden, Yugoslavia, Estonia, South Africa, and Canada.

Bristol Bulldog
The Bristol Bulldog is a British Royal Air Force single-seat biplane fighter designed during the 1920s by the Bristol Aeroplane Company.  More than 400 Bulldogs were produced for the RAF and overseas customers, and it was one of the most famous aircraft used by the RAF during the inter-war period.
Tonyukuk
Tonyukuk or Ashide Yuanzhen (Old Turkic: 𐰋𐰃𐰠𐰏𐰀:𐱃𐰆𐰪𐰸𐰸, romanized: Bilgä Tuňuquq, lit. 'Tunyuquq the Wise', Chinese: 暾欲谷; pinyin: Tunyugu, Chinese: 阿史德元珍; pinyin: Āshǐdé Yuánzhēn, born c. 646, died c. 726) was the baga-tarkhan (supreme commander) and adviser of four successive Göktürk khagans – Ilterish Qaghan, Qapaghan Qaghan, Inel Qaghan and Bilge Qaghan. He conducted victorious campaigns against various Turkic and non-Turkic steppe peoples, such as the Tölis, Xueyantuo, Toquz Oguz, Yenisei Kyrgyz, Kurykans, Thirty Tatar, Khitan and Tatabi as well as the Tang dynasty. He was described as a kingmaker by historians such as E. P. Thompson and Peter Benjamin Golden.

Kumo Xi
The Kumo Xi (traditional Chinese: 庫莫奚; simplified Chinese: 库莫奚; pinyin: Kùmò Xī), also known as the Tatabi, were ancient steppe people located in modern Northeast China from 207 to 907 AD. After the death of their ancestor Tadun in 207, they were no longer called Wuhuan but joined the Khitan Xianbei in submitting to the Yuwen Xianbei. Their history is closely linked to the more famous Khitan.

The Kumo Xi engaged in conflicts with numerous Chinese dynasties and with the Khitan tribes, eventually suffering a series of disastrous defeats to Chinese armies and coming under the domination of the Khitans. In 907, the Kumo Xi were completely assimilated into the Khitan-led Liao dynasty of China.
Punchavayal
Punchavayal is a village in Mundakayam panchayath of Kanjirappally taluk in the Indian state of Kerala.
It is approximately 6 km away by road from Mundakayam, and is at the border of Kottayam and Idukki districts.

Mundakayam
Mundakayam, is a town in Kanjirappally Taluk in the Kottayam District of Kerala. It is the doorway to the high ranges of southern Kerala, and is at the border of Kottayam and Idukki districts. The next nearest town, Kanjirappally, is 14 km (8.7 mi) & Erumely is 12 km from Mundakayam. Mundakayam has rubber plantations, and greenery. The Manimala River runs through Mundakayam. It is located 48 km east of the district headquarters at Kottayam and 148 km from the state capital, Thiruvananthapuram. The name Mundakayam is said to be derived from the Mundi cranes that used to be seen along the Manimala River banks.
Michelle O'Neill (referee)
Michelle O'Neill (born 20 July 1978) is an Irish retired soccer referee. In 2019, she was an assistant referee for the final of the Women's Football World Cup and, as part of an all-female team, for the 2019 UEFA Super Cup.

2019 UEFA Super Cup
The 2019 UEFA Super Cup was the 44th edition of the UEFA Super Cup, an annual football match organised by UEFA and contested by the reigning champions of the two main European club competitions, the UEFA Champions League and the UEFA Europa League. The match featured two English sides, Liverpool, the winners of the 2018–19 UEFA Champions League, and Chelsea, the winners of the 2018–19 UEFA Europa League. The match was played at Vodafone Park in Istanbul, Turkey on 14 August 2019. The match was the first all-English UEFA Super Cup, and the eighth overall Super Cup to feature two teams from the same country. For the first time, the video assistant referee (VAR) system was used in the competition.

Liverpool won the match 5–4 on penalties following a 2–2 draw after extra time for their fourth UEFA Super Cup title. As winners, Liverpool were rewarded £4 million in prize money.