hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Cayley's nodal cubic surface
In algebraic geometry, the Cayley surface, named after Arthur Cayley, is a cubic nodal surface in 3-dimensional projective space with four conical points. It can be given by the equation

when the four singular points are those with three vanishing coordinates. 
Changing variables gives several other simple equations defining the Cayley surface.

As a del Pezzo surface of degree 3, the Cayley surface is given by the
linear system of cubics in the projective plane passing through the 6 vertices
of the complete quadrilateral. This contracts the 4 sides of the complete
quadrilateral to the 4 nodes of the Cayley surface, while blowing up its 6
vertices to the lines through two of them. The surface is a section through the Segre cubic.

The surface contains nine lines, 11 tritangents and no double-sixes.

A number of affine forms of the surface have been presented. Hunt uses 

by transforming coordinates  to 
and dehomogenizing by setting . A more symmetrical form is

Arthur Cayley
Arthur Cayley FRS (/ˈkeɪli/; 16 August 1821 – 26 January 1895) was an English mathematician who worked mostly on algebra. He helped found the modern British school of pure mathematics, and was a professor at Trinity College, Cambridge for 35 years.

He postulated what is now known as the Cayley–Hamilton theorem—that every square matrix is a root of its own characteristic polynomial, and verified it for matrices of order 2 and 3. He was the first to define the concept of an abstract group, a set with a binary operation satisfying certain laws, as opposed to Évariste Galois' concept of permutation groups. In group theory, Cayley tables, Cayley graphs, and Cayley's theorem are named in his honour, as well as Cayley's formula in combinatorics.
Ryan Boyle (rugby league)
Ryan Boyle (born 17 October 1987) is an English former professional rugby league footballer who played as a prop forward in the Super League, the RFL Championship and League 1 in the 2000s, 2010s and 2020s. He represented Ireland at international level.

Boyle made over 100 appearances for his hometown club the Castleford Tigers in the Super League and the Championship across two separate spells. He spent three and a half seasons with the Salford City Reds in Super League. He played in the Championship for Halifax, initially on loan from Castleford before signing permanently, then moved to Doncaster in League 1 where he spent four seasons.

Ireland national rugby league team
The Ireland men's national rugby league team, known as the Wolfhounds, is organised by Rugby League Ireland and represents the entire isle of Ireland in international rugby league. The representative team is composed largely of players of Irish descent who compete in the Super League as well as the Australasian National Rugby League. Ireland is also represented by an Ireland A side, which is made up of players from the Irish domestic competition.

Since Ireland began competing in international rugby league in 1995, it has participated in the 1995 Rugby League Emerging Nations Tournament, the 1996 Super League World Nines, and five Rugby League World Cups – 2000, 2008, 2013, 2017 and 2021. They have also competed in the Rugby League European Nations Cup.

Although, the island of Ireland is separate from the island of Great Britain, Irish players such as Cork-born Brian Carney have in the past been selected to play for the Great Britain side.
Horse Powertrain
Horse Powertrain Limited is a joint venture holding aimed at producing powertrains, including internal combustion engines (ICE) and hybrid systems. The venture holding was established in May 2024 and is equally owned by Renault and Geely (including Geely Holding and Geely Auto). It is headquartered in London, United Kingdom.

The company has two major subsidiaries, including Aurobay, a former Geely-owned powertrain company operating in Sweden and China with 9,000 employees, and Horse, a former Renault powertrain division with 9,000 employees. In total the company has 19,000 employees.

Hybrid vehicle
A hybrid vehicle is one that uses two or more distinct types of power, such as submarines that use diesel when surfaced and batteries when submerged. Other means to store energy include pressurized fluid in hydraulic hybrids.

Hybrid powertrains are designed to switch from one power source to another to maximize both fuel efficiency and energy efficiency. In hybrid electric vehicles, for instance, the electric motor is more efficient at producing torque, or turning power, while the combustion engine is better for maintaining high speed. Improved efficiency, lower emissions, and reduced running costs relative to non-hybrid vehicles are three primary benefits of hybridization.
USS Houston (CL-81)
USS Houston (CL-81) was a Cleveland-class light cruiser of the United States Navy, which were built during World War II. The class was designed as a development of the earlier Brooklyn-class cruisers, the size of which had been limited by the First London Naval Treaty. The start of the war led to the dissolution of the treaty system, but the dramatic need for new vessels precluded a new design, so the Clevelands used the same hull as their predecessors, but were significantly heavier. The Clevelands carried a main battery of twelve 6-inch (152 mm) guns in four three-gun turrets, along with a secondary armament of twelve 5 in (127 mm) dual-purpose guns. They had a top speed of 32.5 knots (60.2 km/h; 37.4 mph).

She was active in the Pacific War and survived two separate aerial torpedo hits in October 1944.

6-inch/47-caliber gun
The 6-inch/47-caliber Mark 16 gun was used in the main batteries of several pre-war and World War II US Navy light cruisers. They were primarily mounted in triple turrets and used against surface targets.
The Mark 16DP gun was a dual-purpose fitting of the Mark 16 for use against aircraft as well as surface ships. It was installed in the postwar Worcester-class light cruisers and the anti-aircraft gunnery training ship Mississippi.

The Mark 17 gun was a variation of the Mark 16 to use bagged charges; this was only used in the Erie-class gunboat in a single-pedestal mount.
Benny the Bull (horse)
Benny the Bull is a retired American Thoroughbred racehorse and active stallion. A specialist sprinter, he raced mainly over distances of six and seven furlongs and won races including the Frank J. De Francis Memorial Dash, Sunshine Millions Sprint, True North Handicap and Smile Sprint Handicap. In 2008 he became one of the relatively few American-trained racehorses to win a major international race overseas when he won the Dubai Golden Shaheen. In the same year he was voted American Champion Sprint Horse at the Eclipse Awards.

Eclipse Award
The Eclipse Award is an American Thoroughbred horse racing award named after the 18th-century British racehorse and sire, Eclipse.

An Eclipse Award Trophy is presented to the winner in each division. The trophy is made by a few small selected American foundries with expertise in studio bronze casting. It is then mounted on the hand-crafted native Kentucky walnut base to comprise the Eclipse Award on which a brass plate recites the award winner.

The equivalent award in Australia is the Australian Thoroughbred racing awards, in Canada the Sovereign Awards, and in Europe, the Cartier Racing Awards.
Council of Heraldry and Vexillology
The Council of Heraldry and Vexillology (French: Conseil d’héraldique et de vexillologie) is the Heraldic authority for the French-speaking Community of Belgium. It is the institution that advises the Government of the French-speaking Community on all matters concerning civic, personal, and familial arms and flags. Grants of arms from the Council are published in the Belgian official journal.

French Community of Belgium
In Belgium, the French Community (French: Communauté française (de Belgique), pronounced [kɔmynote fʁɑ̃sɛːz də bɛlʒik], CFB) refers to one of the three constituent constitutional linguistic communities. Since 2011, the French minority has used the name Wallonia-Brussels Federation (French: Fédération Wallonie-Bruxelles, pronounced [fedeʁɑsjɔ̃ walɔni bʁysɛl], FWB), which is controversial because its name in the Belgian Constitution has not changed and because it is seen as a political statement. The name "French Community" refers to the French language and not to France. As such, the French minority of Belgium is sometimes rendered in English as "the French-speaking Community of Belgium" for clarity, in analogy to the German-speaking Community of Belgium.

The Community has its own parliament, government, and administration. It and its predecessor entity have used the flag of Wallonia since 1975.
Lina Nilsson
Lina Therese Nilsson (born 17 June 1987) is a Swedish retired footballer who played for FC Rosengård and the Sweden national team. Normally a full-back, she can also play as a wide midfielder. She joined Malmö FF Dam in 2006 and has remained with the club through its different guises as LdB FC and FC Rosengård. Since winning her first Sweden cap in July 2009, Nilsson has represented her country in the 2009 and 2013 editions of the UEFA Women's Championship, as well as the 2011 and 2015 FIFA Women's World Cups. She also played at the 2012 Olympic football tournament.

On 5 October 2017, she announced her retirement from her playing career.

Sweden women's national football team
The Sweden women's national football team (Swedish: Svenska damfotbollslandslaget), nicknamed Blågult ("The Blue-Yellow"), represents Sweden at international women's association football competitions. It was established in 1973 and is governed by the Swedish Football Association.

The team has represented Sweden at the FIFA Women's World Cup on nine occasions. They were runners-up in 2003 and bronze medalists in 1991, 2011, 2019, and 2023. Sweden have been to seven Olympic Games, winning silver medals in 2016 and 2021. On the continental level, the team has participated in the UEFA Women's Euro eleven times, becoming champions in 1984 and finishing in second place in 1987, 1995, and 2001. They have also competed in the UEFA Women's Nations League since the inaugural 2023–24 season.
Neuroepithelial cell
Neuroepithelial cells, or neuroectodermal cells, form the wall of the closed neural tube in early embryonic development. The neuroepithelial cells span the thickness of the tube's wall, connecting with the pial surface and with the ventricular or lumenal surface. They are joined at the lumen of the tube by junctional complexes, where they form a pseudostratified layer of epithelium called neuroepithelium.

Neuroepithelial cells are the stem cells of the central nervous system, known as neural stem cells, and generate the intermediate progenitor cells known as radial glial cells, that differentiate into neurons and glia in the process of neurogenesis.

Progenitor cell
A progenitor cell is a biological cell that can differentiate into a specific cell type. Stem cells and progenitor cells have this ability in common. However, stem cells are less specified than progenitor cells. Progenitor cells can only differentiate into their "target" cell type. The most important difference between stem cells and progenitor cells is that stem cells can replicate indefinitely, whereas progenitor cells can divide only a limited number of times.  Controversy about the exact definition remains and the concept is still evolving.

The terms "progenitor cell" and "stem cell" are sometimes equated.
Una familia de diez season 5
The fifth season of the Mexican sitcom Una familia de diez premiered on October 4, 2020, and concluded on November 15, 2020, on Las Estrellas. Production of the season began on September 18, 2020.

In this season Placido, as always, will find a way to help support the whole family, Martina will have to get used to her new life, and La Nena is about to get an excellent job, which she could lose when the truth of her original family becomes known.

Una familia de diez
Una familia de diez (English title: The 10 of Us), also known as Una familia de diez + 2 for the second season, is a Mexican sitcom that centers on the López household, a middle class Mexican family that constantly endures hilarious situations. They live in an apartment which barely holds living space for them. It premiered on Las Estrellas on March 22, 2007.

The twelfth season premiered on September 28, 2025.
Irssi
Irssi (Finnish pronunciation: [ˈirsːi] (listen)) is an Internet Relay Chat (IRC) client program for Linux, FreeBSD, macOS and Microsoft Windows. It was originally written by Timo Sirainen, and released under the terms of the GNU GPL-2.0-or-later in January 1999.

The program has a text-based user interface written from scratch using C. It may be customized by editing its config files or by installing plugins and Perl scripts. Though initially developed for Unix-like operating systems, it has been successfully ported to both Windows and macOS.

Configuration file
A configuration file, also known as config file, is a file that stores data used to configure a software system such as an application, a server or an operating system.

Some applications provide a tool to create, modify, and verify the syntax of their configuration files – sometimes via graphical user interface (GUI). For context, system administrators may be expected to create and modify text config files via a text editor. For server processes and operating-system settings, there is often no standard tool, but operating systems may provide graphical interfaces such as YaST or debconf.

Some computer programs only read their configuration files at startup. Others periodically check the configuration files for changes. Users can instruct some programs to re-read the configuration files and apply the changes to the current process, or indeed to read arbitrary files as a configuration file. There are no definitive standards or strong conventions.
Baron Vavasour
Baron Vavasour is an abeyant title in the Peerage of England. It was created in 1299 by writ of summons  for William le Vavasour, who fought alongside Edward I at the Battle of Falkirk. The third baron was never called to Parliament, nor were any of his successors and the title became abeyant on the death of the de jure 25th baron in 1826. The de jure 19th Baron was granted the title of baronet, which became extinct at the same time as the barony's abeyance.

William le Vavasour, 1st Baron Vavasour
William le Vavasour (died 1311), Lord of Hazelwood, was an English noble.

William was the eldest son of John le Vavasour and Alice Cockfield. He was active in the wars in Gascony and Scotland. He died in 1311 and was buried in the chapel of St. Leonard, Hazelwood.
Aguadulce (Almería)
Aguadulce is a Spanish town in the municipality of Roquetas de Mar, province of Almería, in the autonomous community of Andalucía. It is located in the region of Poniente Almeriense, about 14 kilometres from the city of Almería, along the national road (N-340a) and 14 km along the dual carriageway (A-7)

In 2018, it had a population of 16176 inhabitants (INE), although during summer the population triples due to tourism, the main economic engine of the town.

Autovía A-7
The Autovía A-7 (also called Autovia del Mediterráneo) is a Spanish autovía (toll-free limited-access highway) which starts in La Jonquera, near the French frontier and ends in Algeciras. It was finally finished in late 2015 upon completion of sections west of Almeria and around Motril, is a free alternative  route to the tolled Autopista AP-7, and is the longest national motorway in Europe.
Mandy McGlynn
Amanda Kathleen McGlynn (formerly Haught; born November 3, 1998) is an American professional soccer player who plays as a goalkeeper for the Utah Royals of the National Women's Soccer League. She previously played for NJ/NY Gotham FC, winning the 2023 NWSL Championship. She played college soccer for the Virginia Tech Hokies.

Gotham FC
Gotham Football Club is an American professional soccer team based in the New York metropolitan area that competes in the National Women's Soccer League (NWSL). Founded in 2006 as Jersey Sky Blue, the team was known as Sky Blue FC from 2008 until 2020, and as NJ/NY Gotham FC from 2021 to 2024. A founding member of the NWSL in 2013, Sky Blue FC also played in Women's Professional Soccer (WPS) from 2009 to 2011. They won the NWSL Championship in 2023 and 2025.
George Peter Thompson
George Peter Thompson (1819–1889) was a Liberian-born educator, clergyman and pioneer missionary of the Basel Evangelical Missionary Society of Switzerland. He was also the first African to be educated in Europe by the mission and subsequently, the first African to be consecrated and ordained a Basel missionary. Thompson was part of the Basel Mission team led by Danish missionary, Andreas Riis that recruited 24 West Indian missionaries from Jamaica and Antigua in 1843, to aid the work of the society. Together with the Jamaican educator-missionaries, Alexander Worthy Clerk and Catherine Mulgrave, George Thompson was a co-founder and the first principal of the all boys’ middle boarding school, the Salem School, Osu, established in November 1843.

Basel Mission
The Basel Mission is a Christian missionary society based in Switzerland. It was active from 1815 to 2001, when it transferred the operative work to Mission 21, the successor organization of Kooperation Evangelischer Kirchen und Missione (KEM), founded in 2001. Now Basel Mission is one of the supporting organizations of Mission 21. Since 2025 the Basel Mission changed his structure to a foundation. Chair of the foundation ist Rev. Dr. h.c. Karl F. Appl.
Sudesh Rai
Sudesh Rai is an Indian politician from Madhya Pradesh. He is a three time elected Member of the Madhya Pradesh Legislative Assembly from 2013, 2018, and 2023, representing Sehore Assembly constituency as a Member of the Bharatiya Janata Party. His family owns multiple Bars , Hotels , and Wine shops.

Madhya Pradesh Legislative Assembly
The Madhya Pradesh Vidhan Sabha, or the Madhya Pradesh Legislative Assembly, is the unicameral state legislature of Madhya Pradesh state in India.

The seat of the Vidhan Sabha is at Bhopal, the capital of the state. It is housed in the Vidhan Bhavan, an imposing building located at the center of the Capital Complex in the Arera Hill locality of Bhopal city. The term of the Vidhan Sabha is five years unless dissolved earlier. Presently, it comprises 230 members who are directly elected from single-seat constituencies. 35
constituencies are reserved for the candidates belonging to the Scheduled castes and 47 are reserved for the candidates belonging to the Scheduled tribes.
Jammu and Kashmir cricket team
The Jammu and Kashmir cricket team is a cricket team based in the Indian union territory of Jammu and Kashmir, run by JKCA. It is in the Elite Group C of the Ranji Trophy. Its main home ground is the Sher-i-Kashmir Stadium in Srinagar, and it also plays at Gandhi Memorial Science College Ground in Jammu.

Jammu
Jammu (/ˈdʒʌmuː/) is a city in Indian-administered  Jammu and Kashmir in the Jammu region. It is the winter capital of the union territory of Jammu and Kashmir.  It is the headquarters and the largest city in Jammu district. Lying on the banks of the river Tawi, the city of Jammu, with an area of 240 km2 (93 sq mi), is surrounded by the Himalayas in the north and the northern plains in the south. Jammu is the second-most populous city of the union territory. Jammu is known as "City of Temples" for its ancient temples and Hindu shrines.
Dokmaipa Por.Pongsawang
Chamnien Moonkasorn (Thai: จำเนียร มูลเกษร; May 16, 1968 - October 7, 2020), known professionally as Dokmaipa Por.Pongsawang (Thai: ดอกไม้ป่า ป.พงษ์สว่าง), was a Thai professional Muay Thai fighter. He was a two-division Lumpinee Stadium champion who was famous in the 1980s and 1990s. Nicknamed "The Powerful Southpaw", he was especially known for his devastating left kicks.

Lumpinee Boxing Stadium
Lumpinee Boxing Stadium (Thai: สนามเวทีมวยลุมพินี) is a sporting arena in Bangkok, Thailand.  Opened more than a decade later than Rajadamnern Stadium, Lumpinee is run by the Royal Thai Army. It has become the symbol of modern Muay Thai. Only Rajadamnern Stadium rivals the prestige of holding the title of "Muay Thai Champion of Lumpinee". The ranking system and championship titles are held from mini flyweight (105 lb) up to super welterweight (154 lb).

Muay Thai bouts are held on Tuesdays, Fridays, and Saturdays. The fights usually start around 18:00.

The final event at its original site on Rama IV Road near Lumphini Park (where One Bangkok is currently being built) was held on 8 February 2014. The stadium then moved to its new home on Ram Inthra Road which can hold up to 5,000 spectators. The new stadium held the first fight on 11 February 2014 and was officially opened on 28 February 2014.
Konstantin Lokhanov
Konstantin Lokhanov (Russian: Константин Игоревич Лоханов; born 10 November 1998; nicknamed Kostya) is a Russian sabre fencer living in San Diego, California, in the United States. Lokhanov was ranked # 1 in the world in cadet sabre in both 2014 and 2015. He was then a two-time World Junior Sabre Individual Champion (in 2017 and 2018), and ranked # 1 in the world for both those years. In 2021, he competed in sabre at the 2020 Tokyo Olympics. The following year, appalled by the Russian invasion of Ukraine, he defected to the United States. He said: "I decided I could no longer live in a country that kills innocent Ukrainians." He is a now member of USA Fencing.

Fencing at the 2020 Summer Olympics
The fencing competitions at the 2020 Summer Olympics in Tokyo featured 12 events, the first time that both team and individual events have been held in all three weapons for both men and women.

Originally scheduled for 25 July to 2 August 2020, the games were postponed due to the COVID-19 pandemic and rescheduled to 24 July to 1 August 2021.
July 2001 lunar eclipse
A partial lunar eclipse occurred at the Moon’s descending node of orbit on Thursday, July 5, 2001, with an umbral magnitude of 0.4961. A lunar eclipse occurs when the Moon moves into the Earth's shadow, causing the Moon to be darkened. A partial lunar eclipse occurs when one part of the Moon is in the Earth's umbra, while the other part is in the Earth's penumbra. Unlike a solar eclipse, which can only be viewed from a relatively small area of the world, a lunar eclipse may be viewed from anywhere on the night side of Earth. Occurring about 3.7 days before apogee (on July 9, 2001, at 7:20 UTC), the Moon's apparent diameter was smaller.

Lunar node
A lunar node is either of the two orbital nodes of the Moon; that is, the two points at which the orbit of the Moon intersects the ecliptic. The ascending (or north) node is where the Moon moves into the northern ecliptic hemisphere, while the descending (or south) node is where the Moon enters the southern ecliptic hemisphere.

They are the reason for eclipse season, being the intersection necessary for the alignment of Sun, Earth and Moon.
German astronaut team
The German astronaut team was established in 1987.  Before the establishment of the team, then-West German astronauts were selected for single missions, or as part of the European Space Agency's crewed spaceflight activities. East Germany had its first cosmonaut, Sigmund Jähn; Jähn was both West and East Germany's first citizen in space when he departed from Baikonur in the Soviet Union in August and returned to Earth in September 1978. West and East Germany reunified in 1990 and the astronaut team became representative of a single German nation.

In 1998, the team became part of the European Astronaut Corps.

Sigmund Jähn
Sigmund Werner Paul Jähn (German: [jɛ:n]; 13 February 1937 – 21 September 2019) was a German pilot, cosmonaut, and Generalmajor (equivalent to a Brigadier General in Western armies) in the National People's Army of the GDR. He was the first German to fly into space as part of the Soviet Union's Interkosmos program in 1978.

He was the very last living East German holder of the title Hero of the German Democratic Republic when he died in 2019.