hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Rank–nullity theorem
The rank–nullity theorem is a theorem in linear algebra, which asserts:

the number of columns of a matrix M is the sum of the rank of M and the nullity of M; and

the dimension of the domain of a linear transformation f is the sum of the rank of f (the dimension of the image of f) and the nullity of f (the dimension of the kernel of f).

It follows that for linear transformations of vector spaces of equal finite dimension, either injectivity or surjectivity implies bijectivity.

Exact sequence
In mathematics, an exact sequence is a sequence of morphisms between objects (for example, groups, rings, modules, and, more generally, objects of an abelian category) such that the image of one morphism equals the kernel of the next.
Lesley Cantwell
Lesley Judith Cantwell (22 February 1987 – 7 June 2013) was a New Zealand racewalker. Cantwell won the gold medal in the women's 5000 m road walk at the 2013 Oceania Athletics Championships in Tahiti on 4 June 2013. While waiting for the medal ceremony, she felt unwell and collapsed. She was taken to a local hospital where she died three days later. Cantwell died on 7 June 2013, aged 26, from a suspected subarachnoid haemorrhage.

Cantwell was born in Te Anau on 22 February 1987, and was educated at Fiordland College. Her father, Shaun Cantwell, coached athletics and taught at Fiordland College. Her mother, Judith Cantwell, also an athlete, won the New Zealand national 1500 metres title in 1989.

Fiordland College
Fiordland College is a co-educational state secondary school for years 7–13 students. It is one of the two schools in Te Anau, New Zealand. Te Anau is situated on the shores of Lake Te Anau, at the gateway to Fiordland National Park, New Zealand's largest national park. Fiordland College is very involved in environmental education. It has been involved in the Kids Restore the Kepler project for a number of years. Through this, students are offered a vast range of opportunities including wildlife encounters, conservation projects and personal developments opportunities. Fiordland College also has a range of sporting teams such as netball, rugby, field hockey, and kī-o-rahi.
El Sheikh Mahgoub Gaafar
El Sheikh Mahgoub Gaafar (Arabic: الشيخ محجوب جعفر; born 2 March 1935 in Nuri) is a Sudanese mycologist and an international authority on mycetoma and bacteriology. He was awarded Shousha Prize by the World Health Organization.

Sadiq al-Mahdi
Sadiq al-Mahdi (Arabic: الصادق المهدي, romanized: aṣ-Ṣādiq al-Mahdī; 25 December 1935 – 26 November 2020), also known as Sadiq as-Siddiq, was a Sudanese political and religious figure who was Prime Minister of Sudan from 1966 to 1967 and again from 1986 to 1989. He was head of the National Umma Party and Imam of the Ansar, a Sufi order that pledges allegiance to Muhammad Ahmad (1844–1885), who claimed to be the Mahdi, the messianic saviour of Islam.
In the Flesh?/In the Flesh
"In the Flesh?" and "In the Flesh" are two songs by the English rock band Pink Floyd, released on their eleventh studio album, The Wall (1979).  "In the Flesh?" is the opening track, and introduces the story concept of the album.  "In the Flesh" is the twenty-first song of the album, and is a reprise of the first with a choir, different verses and more extended instrumentation.

The title is a reference to the band's 1977 In the Flesh Tour, during which Roger Waters, in frustration, spat at a fan who was attempting to climb the fence separating the band from the crowd.

Power chord
A power chord Playⓘ, also called a fifth chord, is a colloquial name for a chord (in the broader sense of two or more notes played simultaneously) on guitar, especially on electric guitar, that consists of the root note and the fifth, as well as possibly octaves of those notes. Power chords are commonly played with an amp with intentionally added distortion or overdrive effects. Power chords are a key element of many styles of rock, especially heavy metal and punk rock.
Fendika Cultural Center
The Fendika Cultural Center (Amharic: ፈንድቃ) is a cultural center located in Kazanchis neighbourhood (Kirkos district) of Addis Ababa, Ethiopia. It was created as a folk music house (azmari bet) in the early 1990s.

Owned and run by Ethiopian dancer and choreographer Melaku Belay, Fendika Cultural Center is a cultural hub that offers classes, workshops, art exhibits, jazz nights, and cultural activities, beginning with displays of local painters and monthly poetry readings.

It hosts the shows of Fendika and the Ethiocolor, two Ethiopian music groups.

Since its renewal, Fendika organizes an annual street festival during Timket, the celebration of epiphany in January. In this event, Fendika Cultural Center invites indigenous artists from various parts of Ethiopia to perform their folk music and dance on the streets of the Ethiopian capital.

Azmari
An Azmari (Amharic: አዝማሪ) is an entertainer who sings and plays traditional string instruments of the Ethiopian Highlands. They are comparable to medieval European minstrels, bards or West African griots.

Azmari, who may be either male or female, are skilled at singing extemporized verses, accompanying themselves on either a masenqo (one-stringed fiddle) or krar (lyre).
1995 Big East Conference baseball tournament
The 1995 Big East Conference baseball tournament was held at Muzzy Field in Bristol, Connecticut. This was the eleventh annual Big East Conference baseball tournament. The Pittsburgh Panthers won their first tournament championship and claimed the Big East Conference's automatic bid to the 1995 NCAA Division I baseball tournament.

Big East Conference baseball tournament
The Big East Conference baseball tournament is the conference championship tournament in baseball for the Big East Conference. It is a double-elimination tournament and seeding is based on regular-season records. The winner receives the conference's automatic bid to the NCAA Division I baseball tournament.  The Big East Tournament champion is separate from the conference champion.  The conference championship is determined solely by regular-season record.

From 1985 to 2013, the tournament was sponsored by the old Big East Conference. Starting with the 2014 tournament, it has been sponsored by the newly formed, non-football Big East Conference.
La Voz (Spanish TV series) season 12
The twelfth season of La Voz started airing on 19 September 2025 on Antena 3. Pablo López and Malú both returned as coaches for their seventh and ninth season, respectively. Two new coaches, Sebastián Yatra and Mika, joined the panel this season, replacing Luis Fonsi and Antonio Orozco. Eva González returned as host for her seventh consecutive season.

Antía Pinal was announced the winner of the twelfth season, marking Pablo López's second (and fourth overall on all versions of the show) win as a coach. Pinal's win marks the first time an artist won on a different team than his/her original team since Isaiah Kelly in the seventh season (Pinal previously was on Team Yatra before López stole her in the knockouts).

Chiara Oliver
Chiara Oliver Williams (Ciutadella de Menorca, March 11, 2004), better known as Chiara Oliver, is a Spanish singer and songwriter of British descent who gained recognition for participating in twelfth edition of the Operación Triunfo contest.
Vanadium(II) oxide
Vanadium(II) oxide is the inorganic compound with the idealized formula VO. It is one of the several binary vanadium oxides. It adopts a distorted NaCl structure and contains weak V−V metal to metal bonds. VO is a semiconductor owing to delocalisation of electrons in the t2g orbitals. VO is a non-stoichiometric compound, its composition varying from VO0.8 to VO1.3.

Diatomic VO is one of the molecules found in the spectrum of relatively cool M-type stars. A potential use of vanadium(II) monoxide is as a molecular vapor in synthetic chemical reagents in low-temperature matrices.

Sodium chloride
Sodium chloride /ˌsoʊdiəm ˈklɔːraɪd/, commonly known as table salt, is an ionic compound with the chemical formula NaCl, representing a 1:1 ratio of sodium and chloride ions. It is transparent or translucent, brittle, hygroscopic, and occurs as the mineral halite. In its edible form, it is commonly used as a condiment and food preservative. Large quantities of sodium chloride are used in many industrial processes, and it is a major source of sodium and chlorine compounds used as feedstocks for further chemical syntheses. Another major application of sodium chloride is de-icing of roadways in sub-freezing weather.
Graham Zusi
Graham Jonathan Zusi (/ˈzuːsi/; born August 18, 1986) is an American former professional soccer player who most recently played as a midfielder or defender for Major League Soccer club Sporting Kansas City. From 2012 to 2023, Zusi represented the United States national team, earning 55 caps and scoring 5 goals.

He is the longest-tenured player to have played with one club in MLS history (15 seasons with Sporting Kansas City).

2017 MLS All-Star Game
The 2017 Major League Soccer All-Star Game was the 22nd annual Major League Soccer All-Star Game. The game took place on August 2, 2017 (7:30 p.m. local time) at Soldier Field in Chicago. The game was televised live on Fox Sports 1 and Univision in the United States, and on TSN and TVA Sports in Canada. La Liga side Real Madrid were the opponents. Real Madrid won 4–2 on penalties following a 1–1 draw in normal time.

Borja Mayoral was named MVP.
Vegglifjell
Vegglifjell is a mountain range located along the border of Buskerud and Telemark counties in southern Norway. It runs through the municipalities of Tinn, Rollag, and Nore og Uvdal. The highest point is the 1,380-metre (4,530 ft) tall Skirveggen mountain. The mountain range is surrounded by the Numedalen valley to the east side, the Uvdalen valley to the north, and the Tessungdalen valley on the west side.

Numedal
Numedal (Norwegian: [ˈnʉ̀ːmədɑːɫ]) is a valley and a traditional district in Eastern Norway located within the county of Buskerud. It traditionally includes the municipalities Flesberg, Nore og Uvdal and Rollag. Administratively, it now also includes Kongsberg.
Mask Singer (Chinese TV series) season 1
Mask Singer (Chinese: 蒙面唱将猜猜猜) is a Chinese reality singing show hosted by Li Hao in which celebrities perform songs for a panel of judges while wearing elaborate masks in order to conceal their identities. It premiered on 18 September 2016 on Jiangsu Television. It is based on the South Korean program King of Mask Singer.

Chopstick Brothers
Chopstick Brothers are a Beijing-based Chinese duo who became known online by their 2010 viral video Old Boys. In 2014, they wrote, directed, and starred in a full feature film Old Boys: The Way of the Dragon based on the viral video. The promotional song of the film, "Little Apple", also became popular online, winning the "International Song Award" at the American Music Awards of 2014. They re-released the song in late 2014 to feature the popular K-pop group T-ara.
Conservation and restoration of glass objects
Conservation and restoration of glass objects is one aspect of conservation and restoration of cultural heritage. The nature and varying composition of the material, and the variety of types of object made from it, demand certain specialized techniques. The conservator needs to be aware of "agents of deterioration" presenting particular risk to glass objects, and how to prevent or counteract their effects. Relevant education and training is available in certain countries through museums, conservation institutes and universities.

Conservation and restoration of cultural property
The conservation and restoration of cultural property focuses on protection and care of cultural property (tangible cultural heritage), including artworks, architecture, archaeology, and museum collections. Conservation activities include preventive conservation, examination, documentation, research, treatment, and education. This field is closely allied with conservation science, curators and registrars.
2014 CIS/CCA Curling Championships
The 2014 CIS/CCA Curling Championships was held from March 19 to 23 at the Callie Curling Club in Regina, Saskatchewan. The host university of the event was the University of Regina. The winners represented Canada at the 2015 Winter Universiade in Granada, Spain.

University of Regina
The University of Regina is a public university located in Regina, Saskatchewan, Canada. Founded in 1911 as a private denominational high school of the Methodist Church of Canada, it began an association with the University of Saskatchewan as a junior college in 1925. It disaffiliated from its Methodist founders and fully ceded to the university in 1934; in 1961 it attained degree-granting status as the Regina Campus of the University of Saskatchewan. It became an autonomous university in 1974. The University of Regina is a research university with a focus on experiential learning. Record enrolment was seen in September 2023, with over 16,800 students enrolled.
Aliab Dinka
The Aliab Dinka are a subdivision of the Dinka people of South Sudan. They traditionally lived in an area west of the upper White Nile river.
The name is also used to refer to a breed of cattle maintained by the Aliab Dinka people and widespread in the region.

Awerial County
Awerial is a County in Lakes State, central South Sudan.

The County made headlines in December 2013 when it received over 70,000 internally displaced people fleeing fighting in nearby Bor .
The town is also the seat of an Anglican Bishopric.

Awerial county is bordering Terekeka County of Central Equatoria State to the South, Bor County of Jonglei State to the East, Yirol East County to the North, Yirol West County to the North West.
Wolf-Michael Catenhusen
Wolf-Michael Catenhusen (July 13, 1945, Höxter, Germany – April 30, 2019, Berlin, Germany) was a German politician from the SPD.

He served as Parliamentary State Secretary from 1998 to 2002 and as State Secretary from 2003 to 2005 at the Federal Ministry of Education and Research. Catenhusen was also the Deputy Chairman of the National Regulatory Control Council and Deputy Chairman of the German Ethics Council.

Parliamentary State Secretary
A Parliamentary State Secretary (Parlamentarischer Staatssekretär, PStS) is a member of the Bundestag given a portfolio to assist a Minister with running a government ministry. The position is roughly analogous to deputy ministers.

The position was first introduced in 1967 to help younger politicians gain experience for future ministerial roles. In 2021, there were 36 parliamentary state secretaries in the Merkel IV Cabinet.
Rabbids Land
Rabbids Land (French: The Lapins Crétins Land) is a 2012 party video game developed and published by Ubisoft for the Wii U. It is the seventh console installment of the Rabbids series. The game was announced by Ubisoft at E3 2012, and was released as a launch title for the Wii U in North America and Europe in November 2012, with a release in Japan following in June 2013.

Rabbids Land received mixed reviews, with critics praising several mini-games but criticizing its board game play style. Online services for the game were shut down on November 11, 2017.

Ubisoft
Ubisoft Entertainment SA (/ˈjuːbisɒft/; French: [ybisɔft]; formerly Ubi Soft Entertainment SA) is a French video game publisher headquartered in Saint-Mandé with development studios across the world. Its video game franchises include Anno, Assassin's Creed, Driver, Far Cry, Just Dance, Prince of Persia, Rabbids, Rayman, Tom Clancy's, and Watch Dogs.

Ubisoft is led by chairman and CEO Yves Guillemot. The company first achieved commercial and critical success with their 1995 platform game Rayman. In 1996, the company began to expand to other parts of the world, opening studios in Shanghai, Montreal and Milan. In recent years, Ubisoft has struggled financially, reporting a strong decline in revenue in 2024 and laying off 700 employees in 2025.
Manufacture Nationale d'Armes de Tulle
The Manufacture Nationale d’Armes de Tulle, often abbreviated to MAT ("Tulle National Weapons Factory" in English) was a French state-owned weapons manufacturer in the town of Tulle, Corrèze.  Founded in 1690, it was absorbed into the French state-owned defense conglomerate GIAT Industries in the 1980s.

Corrèze
Corrèze (French pronunciation: [kɔʁɛz] ⓘ; Occitan: Corresa) is a department in France, named after the river Corrèze which runs through it. Although its prefecture is Tulle, its most populated city is Brive-la-Gaillarde. Corrèze is located in the Nouvelle-Aquitaine region, on the border with Occitania and Auvergne-Rhône-Alpes.

In 2019, Corrèze had a population of 240,073, divided among 279 communes. Its inhabitants are called Corréziens (masculine) and Corréziennes (feminine). Its INSEE and postal code is 19.
Feast of Christ the Priest
The Feast of Christ the Priest, also known as the Feast of Our Lord Jesus Christ, The Eternal High Priest, is a Roman Catholic moveable liturgical feast celebrated annually on the first Thursday after Pentecost. Approval for this feast was first granted by the Congregation for Divine Worship and the Discipline of the Sacraments in 1987. In 2012 the Congregation sent a letter to all conferences of bishops, offering the feast to be inscribed in their respective liturgical calendars if they ask for it.

Pentecost
Pentecost (also called Whit Sunday, Whitsunday or Whitsun) is a Christian holiday that takes place on the 49th day (50th day when inclusive counting is used) after Easter. It commemorates the descent of the Holy Spirit upon the Apostles of Jesus, Mary, and other followers of the Christ, while they were in Jerusalem celebrating the Feast of Weeks, as described in the Acts of the Apostles (Acts 2:1–31). Pentecost marks the "Birthday of the Church".

Pentecost is one of the Great feasts in the Eastern Orthodox Church, a Solemnity in the Roman Rite of the Catholic Church, a Festival in the Lutheran Churches, and a Principal Feast in the Anglican Communion. Many Christian denominations provide a special liturgy for this holy celebration. Since its date depends on the date of Easter, Pentecost is a "moveable feast". The Monday after Pentecost is a legal holiday in many European, African and Caribbean countries.
Shimsha
Shimsha is a river that flows in the state of Karnataka, India. It is one of the tributaries of the river Kaveri, which is one of the major rivers of South India. The river originates in the southern part of the Devarayanadurga hill in the Tumkur district of Karnataka and flows for about 221 km (137 mi) in Mandya and Ramanagara districts before joining the river Kaveri.

Shivanasamudra Falls
Shivanasamudra Falls is a cluster of waterfalls on the borders of Malavalli, Mandya and Kollegala, Chamarajanagara, in Karnataka, India, situated along the river Kaveri. The falls form the contour between the districts of Chamarajanagara and Mandya. The Bharachukki Falls in Kollegala, with a height of 69 metres, and the Gaganachukki Falls in Malavalli, with a height of 90 metres, collectively form the Shivanasamudra Falls.

Shivanasamudra Falls is home to one of the first hydro-electric power stations in Asia, which was set up in 1902. The idea of tapping power from the falls to supply power for the machinery at the Kolar Gold Fields was suggested in 1898 by Alain Chartier Joly de Lotbiniere. The project was designed by Dewan Sir. Sheshadri Iyer and Chief Engineer Sir M. Visvesvaraya.

Sivanadamudra Falls was a filming location for the 1972 film Pakeezah. The song "Chalo Dildar Chalo Chand Ke Par Chalo," which features Meena Kumari and Raj Kumar was filmed here.
Elliott-Chelsea Houses
The Elliott-Chelsea Houses is a combined housing project of the New York City Housing Authority (NYCHA), located between West 25th and 27th Streets and Ninth and Tenth Avenues in the Chelsea neighborhood of Manhattan, New York City. It consists of two contiguous projects which were originally separate but have been combined for administrative purposes: the John Lovejoy Elliott Houses, named after the founder of the Hudson Guild, has four 11- and 12-story buildings which accommodate over 1400 residents in 589 apartments. The Chelsea Houses has over 1,000 residents in 426 apartments within two 21-story buildings.

Ninth Avenue (Manhattan)
Ninth Avenue, known as Columbus Avenue between West 59th and 110th Streets, is a thoroughfare on the West Side of Manhattan in New York City, New York. Traffic runs downtown (southbound) from the Upper West Side to Chelsea. Two short sections of Ninth Avenue also exist in the Inwood neighborhood, carrying two-way traffic.
Tine De Caigny
Tine De Caigny (born 9 June 1997) is a Belgian footballer who plays as a midfielder for Anderlecht after previously featuring for Frauen-Bundesliga club TSG Hoffenheim. She is one of a select number of players with over 100 caps for the Belgium national team.

2022 Pinatar Cup
The 2022 Pinatar Cup was the second edition of the Pinatar Cup, an international women's football friendly tournament, that was held from 16 to 22 February 2022 in San Pedro del Pinatar, Region of Murcia, Spain.
Debre Merqorewos
Debre Merqorewos is a monastery near the town of Areza in the Debub region of Eritrea. It was founded during the same time period as Debre Mariam. Among the monastery's notable qualities are its age and its association with the House of Ewostatewos. It maintained its land holdings until they were nationalized by the Derg during the Eritrean War of Independence.

Areza
Areza (Tigrinya: ዓረዛ) is a town in the Debub (Southern) region of Eritrea. It is the capital of the Areza subregion. It lies to the west of Mendefera. The area is primarily agricultural and contains 20 kebabis (residential areas).
Eggen (Norway)
Eggen is a mountain in Vågå Municipality in Innlandet county, Norway. The 2,041-metre (6,696 ft) tall mountain is located in the Jotunheimen mountains within Jotunheimen National Park. The mountain sits about 55 kilometres (34 mi) southwest of the village of Vågåmo and about 25 kilometres (16 mi) northwest of the village of Beitostølen. The mountain is surrounded by several other notable mountains including Bukkehåmåren to the east, Høgdebrotet to the southeast, Tjønnholstinden to the south, Skarvflytindene to the southwest, Surtningssue to the northwest, and Besshø and Besseggen to the northeast.

Vågå Municipality
Vågå (Norwegian pronunciation: [ˈvôːɡoː]) is a municipality in Innlandet county, Norway. It is located in the traditional district of Gudbrandsdal. The administrative centre of the municipality is the village of Vågåmo. Other village areas in the municipality include Bessheim, Besstrond, Lalm, Maurvangen, and Tessand.

The 1,330-square-kilometre (510 sq mi) municipality is the 73rd largest by area out of the 357 municipalities in Norway. Vågå Municipality is the 217th most populous municipality in Norway with a population of 3,529. The municipality's population density is 2.7 inhabitants per square kilometre (7.0/sq mi) and its population has decreased by 4.2% over the previous 10-year period.