hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Hahn decomposition theorem
In mathematics, the Hahn decomposition theorem, named after the Austrian mathematician Hans Hahn, states that for any measurable space  and any signed measure  defined on the -algebra , there exist two -measurable sets,  and , of  such that:

and  .

For every  such that , one has , i.e.,  is a positive set for .

For every  such that , one has , i.e.,  is a negative set for .

Moreover, this decomposition is essentially unique, meaning that for any other pair  of -measurable subsets of  fulfilling the three conditions above, the symmetric differences  and  are -null sets in the strong sense that every -measurable subset of them has zero measure. The pair  is then called a Hahn decomposition of the signed measure .

Symmetric difference
In mathematics, the symmetric difference of two sets, also known as the disjunctive union and set sum, is the set of elements which are in either of the sets, but not in their intersection. For example, the symmetric difference of the sets  and  is .

The symmetric difference of the sets A and B is commonly denoted by  (alternatively, ), , or .
It can be viewed as a form of addition modulo 2.

The power set of any set becomes an abelian group under the operation of symmetric difference, with the empty set as the neutral element of the group and every element in this group being its own inverse. The power set of any set becomes a Boolean ring, with symmetric difference as the addition of the ring and intersection as the multiplication of the ring.
Trowutta, Tasmania
Trowutta is a rural locality in the local government area of Circular Head in the North West region of Tasmania. It is located about 29 kilometres (18 mi) south of the town of Smithton. 
The 2016 census determined a population of 92 for the state suburb of Trowutta.

Circular Head Council
Circular Head Council is a local government body in Tasmania covering the far north-west mainland. It is classified as a rural local government area with a population of 8,066, and its major towns and localities include Arthur River, Marrawah and Stanley, with Smithton being the largest and principal town.  The origin of the name “Circular Head” is unknown.
2025 Judo Grand Slam Tokyo
The 2025 Judo Grand Slam Tokyo is an edition of the Tokyo Grand Slam tournament, organised by the International Judo Federation. It was held at the Tokyo Metropolitan Gymnasium in Tokyo, Japan from 6 to 7 December 2025 as part of the IJF World Tour.

Tokyo Metropolitan Gymnasium
35°40′47″N 139°42′45″E﻿ / ﻿35.6797°N 139.7125°E﻿ / 35.6797; 139.7125

Tokyo Metropolitan Gymnasium (東京体育館, Tōkyō Taiikukan) is a sporting complex in Sendagaya, Shibuya, Tokyo, Japan. Built in 1954 for the World Wrestling Championship, it was also used as the venue for gymnastics at the 1964 Summer Olympics, and hosted the table tennis competition at the 2020 Summer Olympics.  The gymnasium was rebuilt to a futuristic design created by Pritzker Prize winner Fumihiko Maki from 1986 to 1990.

The gymnasium is a one-minute walk from Sendagaya Station on the Chūō-Sōbu Line and Kokuritsu Kyogijo Station on the Toei Oedo Line.
Snow White 2
"Snow White 2" is a special episode of the British comedy television series The Goodies.

This episode is also known as "Pantomime" and "Snow White and the Seven Dwarfs".

This episode was made by LWT for ITV.

Written by Graeme Garden and Bill Oddie, with songs and music by Bill Oddie and Dave McRae.

Bill Oddie
William Edgar Oddie (born 7 July 1941) is an English actor, artist, birder, comedian, conservationist, musician, songwriter, television presenter and writer. He was a member of comedy trio The Goodies.

A birder since his childhood in Quinton, Birmingham, Oddie has established a reputation as a naturalist, conservationist, and television presenter on wildlife issues. Some of his books are illustrated with his own paintings and drawings. His wildlife programmes for the BBC include Springwatch and Autumnwatch, How to Watch Wildlife, Wild in Your Garden, Birding with Bill Oddie, Britain Goes Wild with Bill Oddie and Bill Oddie Goes Wild.
Martigny-Croix railway station
Martigny-Croix railway station (French: Gare de Martigny-Croix) is a railway station in the municipality of Martigny, in the Swiss canton of Valais. It is an intermediate stop and a request stop on the standard gauge Martigny–Orsières line of Transports de Martigny et Régions.

Martigny–Orsières railway line
The Martigny–Orsières railway line is a standard gauge railway line in the canton of Valais in Switzerland. It runs 19.3 kilometres (12.0 mi) from a junction with the Simplon line at Martigny to Orsières. A 6.1-kilometre (3.8 mi) branch runs from Sembrancher to Le Châble VS. Transports de Martigny et Régions (TMR) owns the line. Services are operated by RegionAlps, a joint venture of TMR and Swiss Federal Railways. The line was originally built by the Martigny–Orsières Railway (MO) between 1907–1910. The Le Châble branch opened in 1953.
Paul Igasaki
Paul M. Igasaki (born July 25, 1955) was the Chair and Chief Judge of the Administrative Review Board at the U.S. Department of Labor. Previously he was the Deputy Chief Executive Officer of Equal Justice Works, a national organization that advances public interest law through fellowships, loan repayment programs, pro bono programs, conferences and other methods. Prior to joining Equal Justice Works, he was executive director of the Rights Working Group, a unique nationwide coalition of groups and individuals committed to ensuring liberty and justice for all.

Equal Justice Works
Equal Justice Works is a Washington, D.C.–based nonprofit organization that focuses on careers in public service for lawyers. Equal Justice Works' stated mission is "to create a just society by mobilizing the next generation of lawyers committed to equal justice."
Evidently... John Cooper Clarke
Evidently... John Cooper Clarke is a 2012 television documentary about the life of the Salford performance poet John Cooper Clarke. It was directed by John Ross, produced by Scotty Clark, and was first aired on BBC Four in May 2012 as part of BBC Four and BBC 6 Music's "Punk Britannia" season. It features interviews from Bill Bailey, Pete Shelley, Paul Farley, Steve Coogan, Mark Radcliffe, Craig Charles, Plan B, Kate Nash, Alex Turner, Miranda Sawyer and Paul Morley; and poems by Clarke, including "Things Are Gonna Get Worse", "Evidently Chickentown", "Twat" and "Beasley Street".

Evidently Chickentown
"Evidently Chickentown" is a poem by the English performance poet John Cooper Clarke. It was recorded and released as a track on Clarke's 1980 album Snap, Crackle & Bop. It became widely known internationally after being used in an episode of the HBO series The Sopranos in April 2007, and has appeared in several other films and TV series.
Sofitel Paris Le Faubourg
Sofitel Paris Le Faubourg is a 5-star luxury hotel located in the Rue du Faubourg Saint-Honoré, 8th arrondissement of Paris, France, near the Place de la Concorde. Housed in property formerly owned by Accor hotel group (having been founded in 1997), in 2013 it was sold in a leaseback to New York City-based Mount Kellett Capital for €113 million, including €13 million as renovations. It counts with 147 rooms, a restaurant named Stay seating 60, a bar and a "pastry library" run by thrice Michelin star winner Yannick Alléno, two meeting rooms and a fitness center.

Didier Gomez lead the renovations of the 18th century mansion housing the hotel, once the headquarters for Marie Claire.

Leaseback
Leaseback, short for "sale-and-leaseback", is a financial transaction in which one sells an asset and leases it back for the long term; therefore, one continues to be able to use the asset but no longer owns it. The transaction is generally done for fixed assets, notably real estate, as well as for durable and capital goods such as airplanes and trains. The concept can also be applied by national governments to territorial assets; prior to the Falklands War, the government of the United Kingdom proposed a leaseback arrangement whereby the Falklands Islands would be transferred to Argentina, with a 99-year leaseback period, and a similar arrangement, also for 99 years, had been in place prior to the handover of Hong Kong to mainland China. Leaseback arrangements are usually employed because they confer financing, accounting or taxation benefits.
Wayne Youle
Wayne Youle (born 1974 in Tītahi Bay, Porirua) is a New Zealand artist of Ngāpuhi, Ngati Whakaeke and Ngati Pākehā descent. His bicultural heritage is reflected in his work, addressing issues of identity, race and the commodification of cultural symbols. He often uses humour to make his point. Youle's work is held in national museums and public galleries. He lives and works in Amberley, New Zealand.

Ngāpuhi
Ngāpuhi (also known as Ngāpuhi-Nui-Tonu or Ngā Puhi) is a Māori iwi associated with the Northland regions of New Zealand centred in the Hokianga, the Bay of Islands, and Whangārei.

According to the 2023 New Zealand census, the estimated population of Ngāpuhi is 184,470. This compares to 125,601 in 2001, 102,981 in 2006, 122,214  in 2013. and 165,201 in 2018. It is formed from 150 hapū or subtribes, with 55 marae.

Despite such diversity, the people of Ngāpuhi maintain their shared history and self-identity. Te Rūnanga ā Iwi o Ngāpuhi, based in Kaikohe, administers the iwi. The Rūnanga acts on behalf of the iwi in consultations with the New Zealand government. It also ensures the equitable distribution of benefits from the 1992 fisheries settlement with the government, and undertakes resource management and education initiatives.
Frank Deem
J. Frank Deem (March 20, 1928 – October 10, 2018) was an American businessman and politician.

Deem was born in Harrisville, West Virginia. He served in the United States Navy. Deem received his bachelor's degree in petroleum engineering from Marietta College. He was involved in the oil and gas drilling business and was the owner of the J. F. Deem Oil and Gas Limited Liability Company. Deem lived in Vienna, West Virginia. Deem served in the West Virginia Senate from 1964 to 1978 and from 1994 to 2010. He also served in the West Virginia House of Delegates from 1954 to 1962, from 1988 to 1990, and from 2014 to his death in 2018. He was a Republican.

Deem died from pneumonia at Camden Clark Medical Center in Parkersburg, West Virginia.

Parkersburg, West Virginia
Parkersburg is a city in Wood County, West Virginia, United States, and its county seat. Located at the confluence of the Ohio and Little Kanawha rivers, it is the state's fourth-most populous city and the center of the Parkersburg–Vienna metropolitan area. The city's population was 29,749 at the 2020 census, and its metro population was 89,490.
Just Keep Me Moving
"Just Keep Me Moving" is a song by Canadian singer-songwriter k.d. lang, co-written with Ben Mink. It was featured in the 1993 film Even Cowgirls Get the Blues, starring Uma Thurman, as well as the soundtrack album. The single was released in November 1993, by Warner Bros. and Sire Records, and reached number six on the US Billboard Hot Dance Club Play chart and number seven on the Canadian RPM Adult Contemporary chart. In Europe, it peaked at number 59 on the UK Singles Chart, but was more successful on the Music Week Airplay and Dance Singles charts, peaking at numbers 26 and 35. A music video was also produced to promote the single.

K.d. lang
Kathryn Dawn Lang OC AOE (born November 2, 1961), known by her stage name k.d. lang (stylised in all lowercase), is a Canadian pop and country singer-songwriter and occasional actress. Lang has won Juno Awards and Grammy Awards for her musical performances. Her hits include the songs "Constant Craving" and "Miss Chatelaine".

A mezzo-soprano, lang has contributed songs to movie soundtracks and has collaborated with musicians such as Roy Orbison, Tony Bennett, Elton John, the Killers, Anne Murray, Ann Wilson, Karen Carpenter, and Jane Siberry. She performed at the closing ceremony of the 1988 Winter Olympics in Calgary, Alberta, and at the opening ceremony of the 2010 Winter Olympics in Vancouver, British Columbia, where she performed Leonard Cohen's "Hallelujah".

Lang has also been active as an animal rights, LGBTQ rights, and Tibetan human rights activist. She is a tantric practitioner of the old school of Tibetan Buddhism.
Basidiodendron
Basidiodendron is a genus of fungi in the order Auriculariales. Basidiocarps (fruit bodies) are corticioid, thin, effused and are typically found on fallen wood. The genus is widespread in both temperate and tropical regions and contains over 30 species.

Basidiocarp
In fungi, a basidiocarp, basidiome, or basidioma (pl. basidiomata) is the sporocarp of a basidiomycete, the multicellular structure on which the spore-producing hymenium is borne. Basidiocarps are characteristic of the hymenomycetes; rusts and smuts do not produce such structures. As with other sporocarps, epigeous (above-ground) basidiocarps that are visible to the naked eye (especially those with a more or less agaricoid morphology) are commonly referred to as mushrooms, while hypogeous (underground) basidiocarps are usually called false truffles.
Chew Mei Fun
Chew Mei Fun (Chinese: 周美芬; pinyin: Zhōu Měifēn; Pe̍h-ōe-jī: Chiu Bí-hun; born 17 October 1964) is a Malaysian politician who was the Secretary-General of the Malaysian Chinese Association (MCA). She is a former two-term Member of Parliament (MP) of Malaysia for Petaling Jaya Utara from 1999 to 2008. She is also a former Deputy Minister of Women, Family and Community Development.

Ministry of Women, Family and Community Development
The Ministry of Women, Family and Community Development (Malay: Kementerian Pembangunan Wanita, Keluarga dan Masyarakat; Jawi: كمنترين ڤمباڠونن وانيتا، كلوارڬ دان مشاركت‎), abbreviated KPWKM, is a ministry of the Government of Malaysia responsible for social welfare: children, women, family, community, older people, destitute, homeless, disaster victim, disabled. The ministry determines the policies and direction to achieve the goals of gender equality, family development and a caring society in line with Malaysia's commitment towards the United Nations' Convention on the Elimination of All Forms of Discrimination Against Women and the Beijing Declaration.
El Mostafa Nechchadi
El Mostafa Nechchadi (Arabic: المصطفى نشاشدي; born 15 November 1962) is a retired Moroccan long-distance runner who specialized in the marathon.

Nechchadi was a 1988 Olympian in the marathon, but did not finish the race. His personal best time was 2:10:09 hours achieved in 1987, and he held the Moroccan national marathon record for 10 years. He was second in the 1987 London Marathon and ranked #3 in the world for marathon that year. In 1989 he was ranked #1 in the world for half-marathon with 1:02:01 hours.

Now an American citizen, he is a coach for the running group Promotion in Motion International, which includes Catherine Ndereba.

Catherine Ndereba
Catherine Nyambura Ndereba (born 21 July 1972) is a retired Kenyan marathon runner. Between 2003 and 2008, she finished in the top two in five successive global championship marathons. Ndereba has twice won the marathon at the World Championships in Athletics and won silver medals at the Summer Olympic Games in 2004 and 2008, becoming Kenya's first female multi-medalist. She is also a four-time winner of the Boston Marathon and a two-time winner of the Chicago Marathon. It was at the latter in 2001 that she broke the women's marathon world record with a time of 2:18:47.

She retired in 2012 having been described by the Chicago Tribune as the greatest women's marathoner of all time.
Nishiyamato Academy of California
Nishiyamato Academy of California (西大和学園カリフォルニア校, Nishiyamato gakuen kariforunia kō; NAC) is a private Japanese international day school for students from pre-kindergarten through 9th grade, offering a Japanese guideline-based curriculum. The co-educational academy consists of a kindergarten, an elementary school division, and a middle school division with approximately 150 students, all located in Lomita, California, in the Los Angeles metropolitan area. Since March 1996, the academy has been authorized by Japanese Ministry of Education and its successor Ministry of Education, Culture, Sports, Science and Technology (MEXT) as a Private Overseas Educational Facility (私立在外教育施設, Shiritsu zaigai kyōiku shisetsu).

Nishiyamato Academy offers its own Saturday school program, the Nishiyamato Academy Saturday School (西大和学園補習校 Nishiyamato gakuen hoshūkō) for the children of Japanese expatriates, who are enrolled in local primary or secondary day schools in Los Angeles metropolitan area.

Pre-kindergarten
Pre-kindergarten (also called pre-K or PK) is a voluntary classroom-based preschool program for children below the age of five in the United States, Canada, Turkey and Greece (when kindergarten starts). It may be delivered through a preschool or within a reception year in elementary school. Pre-kindergartens play an important role in early childhood education. They have existed in the US since 1922, normally run by private organizations. The U.S. Head Start program, the country's first federally funded pre-kindergarten program, was founded in 1967. This attempts to prepare children (especially disadvantaged children) to succeed in school.
Politics of El Salvador
Politics of El Salvador takes place in a framework of a presidential representative democratic republic, whereby the President of El Salvador is both head of state and head of government, and of an executive power is exercised by the government. Legislative power is vested in both the government and the Legislative Assembly. The Judiciary is independent of the executive and the legislature.

El Salvador has a history of political instability, coups and political violence. After the end of the 1979–1992 Salvadoran Civil War, El Salvador had a sustained period of stable albeit fragile democracy. However, under Nayib Bukele's tenure as president, El Salvador has undergone democratic backsliding. El Salvador was ranked 5th least electoral democratic country in Latin America and the Caribbean according to V-Dem Democracy indices in 2023 with a score of 0.378 out of 1.

Democracy in the Americas
The Democracy in the Americas can be compared according to the different definitions of democracy. The V-Dem Democracy indices considers countries in the Americas with the highest democracy scores in 2023 as Argentina, Canada, Chile, Costa Rica, Uruguay, USA and Jamaica and countries with lowest democracy scores as Nicaragua, Cuba and Venezuela. Democratic backsliding can be observed in parts of the Americas. Democratization is reported by V-Dem Democracy Report 2024 in Brazil, Dominican Republic, Honduras and Bolivia.
Ty Burhoe
Ty Burhoe is an American tabla player and live concert producer. He is known primarily in Classical Indian and fusion settings.

Burhoe has studied with Ustad Zakir Hussain since 1990. Since 1995, Burhoe has served as Zakir Hussain's tour assistant as well as the designer for his custom drums and drum racks which Zakir uses for his tours with Shakti, Masters of Percussion, Mickey Hart & Planet Drum, Charles Lloyd Trio and Lines Ballet collaborations.

Burhoe appears on the soundtracks of the Academy Award-winning documentary Born into Brothels: Calcutta's Red Light Kids (2004).

Charles Lloyd (jazz musician)
Charles Lloyd (born March 15, 1938) is an American jazz musician and composer. He primarily plays tenor saxophone and flute and occasionally other reed instruments, including alto saxophone and the Hungarian tárogató. Lloyd's primary band since 2007 has been a quartet including pianist Jason Moran, acoustic bassist Reuben Rogers, and drummer Eric Harland.
A Tiger Walks
A Tiger Walks is a 1964 American drama film directed by Norman Tokar and starring Brian Keith and Vera Miles. Based on the 1960 novel of the same name by Ian Niall, it was produced by Walt Disney Productions. It was Indian-born actor Sabu's last film, which was released a few months after his death.

Vera Miles
Vera June Miles (née Ralston; born August 23, 1930) is a retired American actress. She is known for appearing in John Ford's Western films The Searchers (1956) and The Man Who Shot Liberty Valance (1962), and for playing Lila Crane in Alfred Hitchcock's Psycho (1960) and Richard Franklin's sequel Psycho II (1983).

Miles's other film credits include Tarzan's Hidden Jungle (1955), The Wrong Man (1956), A Touch of Larceny (1959), Follow Me, Boys! (1966), Hellfighters (1968), Sergeant Ryker (1968), and Molly and Lawless John (1972).
1989 Indian general election in Jammu and Kashmir
The 1989 Indian general election in Jammu and Kashmir to the 9th Lok Sabha were held for 6 seats. Jammu and Kashmir National Conference won 3 seats, Indian National Congress won 2 seats, and an Independent candidate won 1 seat.

9th Lok Sabha
The 9th Lok Sabha (2 December 1989 – 13 March 1991) was elected during elections in 22–26 November 1989. The Lok Sabha (House of the People) is the lower house in the Parliament of India. Twelve sitting members from Rajya Sabha were elected to 9th Lok Sabha after the 1989 Indian general election.

Vishwanath Pratap Singh became the Prime Minister from 2 December 1989 to 10 November 1990 with the help of the Bharatiya Janata Party and the Left Parties. INC loses 207 seats as compared to previous 8th Lok Sabha after the 1984 Indian general election

Later Chandra Shekhar became Prime Minister from 10 November 1990 to 21 June 1991 with outside support from Indian National Congress under Rajiv Gandhi.

The next 10th Lok Sabha was formed on 20 June 1991 after the 1991 Indian general election.
SKF-82,958
SKF-82,958 is a synthetic compound of the 3-benzazepine family that acts as a dopamine D1 and D5 receptor full agonist. SKF-82,958 and similar D1-like-selective full agonists like SKF-81,297 and 6-Br-APB produce characteristic anorectic effects, hyperactivity and self-administration in animals, with a similar but not identical profile to that of dopaminergic stimulants such as amphetamine. SKF-82,958 was also subsequently found to act as an agonist of ERα with negligible activity at ERβ, making it a subtype-selective estrogen.

Hyperactivity
Hyperactivity is a psychological or physical state of abnormally high activity, a symptom of certain medical or psychiatric conditions, and a common psychological syndrome. As a behavioral descriptor, hyperactivity includes increased movement such as fidgeting or constant movement, talking too much, difficulty concentrating, and other manifestations.

The colloquial term hyper is an abbreviation of hyperactive.
Druid (Dungeons & Dragons)
The druid is a playable character class in the Dungeons & Dragons fantasy role-playing game. Druids wield nature-themed magic. Druids cast spells like clerics, but unlike them do not have special powers against undead and, in some editions, cannot use metal armor. Druids have a unique ability that allows them to change into various animal forms, and various other qualities that assist them in natural settings.

Undead (Dungeons & Dragons)
In the Dungeons & Dragons fantasy role-playing game, the undead are a broad classification of monsters that can be encountered by player characters.: 269–331  Undead creatures are most often once-living creatures, which have been animated by spiritual or supernatural forces. They range from mindless remnants of corpses such as skeletons and zombies to highly intelligent creatures like vampires and liches, but in whatever form they take they are typically malevolent and threatening. Like most Dungeons & Dragons monsters, the various kinds of undead creatures are "drawn from classical, medieval, and fictional sources", and have in turn influenced the use of these kinds of monsters in other games.