hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Pollock's conjectures
Pollock's conjectures are closely related conjectures in additive number theory. They were first stated in 1850 by Sir Frederick Pollock, better known as a lawyer and politician, but also a contributor of papers on mathematics to the Royal Society. These conjectures are a partial extension of the Fermat polygonal number theorem to three-dimensional figurate numbers, also called polyhedral numbers.

Additive number theory
Additive number theory is the subfield of number theory concerning the study of subsets of integers and their behavior under addition. More abstractly, the field of additive number theory includes the study of abelian groups and commutative semigroups with an operation of addition. Additive number theory has close ties to combinatorial number theory and the geometry of numbers. Principal objects of study include the sumset of two subsets A and B of elements from an abelian group G,

and the h-fold sumset of A,
Moor Bridge tram stop
Moor Bridge is a tram stop on the Nottingham Express Transit (NET) light rail system in the city of Nottingham in the suburb of Bulwell. It is part of the NET's initial system, and is situated on the long single line section between Bulwell and Hucknall tram stops that runs alongside the Robin Hood railway line. Like all the other intermediate stops on this section, the stop has a passing loop with an island platform situated between the two tracks of the loop.

Moor Bridge serves as one of several park and ride stops on the NET network, with more than 100 car parking spaces located next to the stop. It is the most northerly stop within the city of Nottingham, with Butler's Hill, the next stop north, being in the district of Ashfield.

With the opening of NET's phase two, Moor Bridge is now on NET line 1, which runs from Hucknall through the city centre to Beeston and Chilwell. Trams run at frequencies that vary between 4 and 8 trams per hour, depending on the day and time of day.

Bulwell station
Bulwell, previously known as Bulwell Market, is a railway station and tram stop serving the town of Bulwell, in Nottinghamshire, England. It is located on the Robin Hood Line and the Hucknall-Toton branch of the Nottingham Express Transit (NET).
John M. Carpenter
John M. "Jack" Carpenter (June 20, 1935 - March 10, 2020) was an American nuclear engineer known as the originator of the technique for utilizing accelerator-induced intense pulses of neutrons for research and developing the first spallation slow neutron source based on a proton synchrotron, the Intense Pulsed Neutron Source (IPNS). He died on 10 March 2020.

KEK
The High Energy Accelerator Research Organization (高エネルギー加速器研究機構, Kō Enerugī Kasokuki Kenkyū Kikō), known as KEK, is a Japanese organization whose purpose is to operate the largest particle physics laboratory in Japan, situated in Tsukuba, Ibaraki prefecture. It was established in 1997. The term "KEK" is also used to refer to the laboratory itself, which employs approximately 695 employees. KEK's main function is to provide the particle accelerators and other infrastructure needed for high-energy physics, material science, structural biology, radiation science, computing science, nuclear transmutation and so on. Numerous experiments have been constructed at KEK by the internal and international collaborations that have made use of them. Makoto Kobayashi, emeritus professor at KEK, is known globally for his work on CP-violation, and was awarded the 2008 Nobel Prize in Physics.

36°08′55″N 140°04′37″E﻿ / ﻿36.14861°N 140.07694°E﻿ / 36.14861; 140.07694
Our Gang filmography
The following is a complete list of the 220 Our Gang short films produced by Hal Roach Studios and/or Metro-Goldwyn-Mayer between 1922 and 1944, numbered by order of release along with production order.

Stymie Beard
Matthew Beard Jr. (January 1, 1925 – January 8, 1981) was an American actor. As a child actor, he was most famous for playing Stymie in the Our Gang short comedy films of 1930–1935. The role was so well known that he adopted the name Stymie Beard, and was so credited in some later roles, such as his 1978 appearance in The Buddy Holly Story.
Segurilla
Segurilla is a municipality located in the province of Toledo, Castile-La Mancha, Spain. According to the 2017 census (INE), the municipality has a population of 1,345 inhabitants. It is located 9 km north of Talavera de la Reina, the second largest town of the Province of Toledo

Province of Toledo
Toledo (Spanish: [toˈleðo] ⓘ) is a province of central Spain, in the western part of the autonomous community of Castile–La Mancha. It is bordered by the provinces of Madrid, Cuenca, Ciudad Real, Badajoz, Cáceres, and Ávila. Its capital is the city of Toledo.
HSwMS Trossö
HSwMS Trossö (A264) is an auxiliary ship in the Swedish Navy. She was built in Finland for the Soviet Navy as an Akademik Shuleykin-class ice-strengthened patrol craft tender, launched in 1984 as Arnold Veymer and renamed Livonia in 1991. Her sister ships were Akademik Shuleykin, Akademik Gamburtsev, Professor Molchanov, Professor Multanovskiy, Geolog Dmitriy Nalivkin, Professor Polshkov, Professor Khromov and Akademik Shokalskiy.

Akademik Shokalskiy
MV Akademik Shokalskiy (Russian: Академик Шокальский) is a Russian Akademik Shuleykin-class ice-strengthened ship, built in Finland in 1982 and originally used for oceanographic research. In 1998 she was fully refurbished to serve as a research ship for Arctic and Antarctic work. For two weeks from 25 December 2013 Akademik Shokalskiy was trapped in thick ice in Commonwealth Bay, Antarctica, while operating an expedition for the Australasian Antarctic Expedition 2013–2014. The scientists and passengers were evacuated on 2 January. The ship has more recently been used as a cruise ship for expeditions.
1988 Melbourne Cup
The 1988 Melbourne Cup was a two-mile handicap horse race which took place on Tuesday, 1 November 1988. The race, run over 3,200 metres (1.988 mi), at Flemington Racecourse.

The race was won by Empire Rose, the popular New Zealand mare who had finished fifth in 1986 when trained by Bart Cummings and second to Kensei the previous year. She did one better in 1988 after winning Mackinnon Stakes she held off 5/1 equal favourite (Empire Rose was also 5/1) Metropolitan Handicap winner Natski in the "Bicentenary" Melbourne Cup Empire Rose became the first mare to win the race since 1965. Empire Rose had previously placed second to Royal Heights in the 1986 New Zealand Oaks and won the 1987 New Zealand Cup.  She subsequently placed third in the 1989 W. S. Cox Plate. This would be the last of four Melbourne Cup calls by Bruce McAvaney though his call of this race is considered to be among the best in the race's history.

1965 Melbourne Cup
The 1965 Melbourne Cup was a two-mile handicap horse race which took place on Tuesday, 2 November 1965. The race, run over 2 miles (3,218.7 m), at Flemington Racecourse.

The race won by Light Fingers, trained by Bart Cummings who won the first of what would end up being a record 12 Melbourne Cups. Ziema ran second also trained by Cummings making it the first of five times he trained the quinella.
Military ranks of Libya
The Military ranks of Libya are the military insignia used by the Libyan Armed Forces. The rank insignia was inspired by the armed forces of the United Kingdom, which trained the forces of the Kingdom of Libya during its Allied occupation up until independence. In 2016, the rank of Field marshal (Arabic: مشير, romanized: Mushir) was instituted and awarded to Khalifa Haftar.

Field marshal (Libya)
The rank of field marshal (Arabic: مشير, romanized: Mushir) is a five-star rank in the current Libyan military, the Libyan National Army (LNA). General Khalifa Haftar, commander of the LNA since 2 March 2015, was promoted to the rank of field marshal on 14 September 2016 by the decision of the House of Representatives (HoR), a partially recognized legislature located in the city of Tobruk, in the eastern Libyan region of Cyrenaica.

Haftar was promoted in recognition for his leadership in the Operation Surprise Lightning, capturing the four key oil ports (Sidra, Ra's Lanuf, Brega and Zuwetina) in the Gulf of Sirte from the Petroleum Facilities Guard (PFG) during the ongoing Libyan Civil War.
George Minyila
Colonel George Minyila (7 July 1938 – 2016) was a Ghanaian military officer, diplomat and politician who served in various capacities in the National Redemption Council and Supreme Military Council (Ghana) governments as well as the military during his lifetime. He is best remembered for his reforms in the Eastern Region of Ghana, where he was assigned under the policy of former Head of State Ignatius Kutu Acheampong to deploy Ministers to regions they did not hail from.

Royal Military Academy Sandhurst
The Royal Military Academy Sandhurst (RMAS or RMA Sandhurst), commonly known simply as Sandhurst, is one of several military academies of the United Kingdom and is the British Army's initial officer training centre. It is located in the town of Sandhurst, Berkshire, though its ceremonial entrance is in Camberley, Surrey, southwest of London. All British Army officers (including late-entry officers who were previously Warrant Officers) are trained at the academy, alongside other men and women from overseas. The academy also commands the University Officers' Training Corps (UOTC), which along with the General Staff Centre (GSC) and the Centre for Army Leadership (CAL) are collectively part of the formation known as Sandhurst Group (RMAS Group) part of Home Command.

Sandhurst is the British Army equivalent of the Britannia Royal Naval College and of the Royal Air Force College Cranwell.
Critics' Choice Movie Award for Best Actor in an Action Movie
The Critics' Choice Movie Award for Best Actor in an Action Movie is one of the awards given to people working in the motion picture industry by the Broadcast Film Critics Association at their annual Critics' Choice Movie Awards.

Critics' Choice Awards
The Critics' Choice Awards (formerly known as the Broadcast Film Critics Association Award) is an awards show presented annually by the American Critics Choice Association (CCA) to honor the finest in cinematic achievement. Written ballots are submitted during a week-long nominating period, and the resulting nominees are announced in December. The winners chosen by subsequent voting are revealed at the annual Critics' Choice Movie Awards ceremony in January. Additionally, special awards are given out at the discretion of the BFCA Board of Directors.
Gjiten
Gjiten (pronounced goo-jee-ten) is a free software dictionary application developed for Linux operating systems, using the GNOME development libraries. It functions primarily as a Japanese–English dictionary tool meant to search EDICT dictionary files, but it has other features such as hand-drawn kanji recognition. It was first published on December 25, 1999. Its current release is v2.6, available since October 28, 2006. The source code is downloadable from the developers' website.

JMdict
JMdict (Japanese–Multilingual Dictionary) is a large machine-readable multilingual Japanese dictionary. As of March 2023, it contains Japanese–English translations for over 214,000 entries, representing 314,000 unique headword-reading combinations. The dictionary files are free to use with attribution (Creative Commons Attribution-ShareAlike) and have been widely adopted on the Internet and are used in many computer and smartphone applications. The project is considered a standard Japanese–English reference on the Internet and is used by the Unihan Database and several other Japanese–English projects.
Katlakalns
Katlakalns is a neighbourhood of Riga, the capital of Latvia. It is linked to Ķengarags and Maskavas forštate by the Southern Bridge erected in 2004-2008 and opened on November 17, 2008.

Katlakalns village of Ķekava parish also belongs to this neighborhood.

Ķengarags
Ķengarags is a neighborhood in the city of Riga, Latvia. It is located in the southern part of the city. Ķengarags borders the Daugava River to the west, the Riga-Moscow railway line to the east, Rumbula to the south, and Krasta Residential Neighborhood to the north.
1968 Helvetia Cup
The 1968 Helvetia Cup was the seventh edition of the Helvetia Cup mixed team badminton tournament. In October 1967, the Norwegian Badminton Federation announced that the next two Helvetia Cup tournaments would be held in Oslo and Prague.

West Germany won their seventh consecutive title by defeating hosts Norway 5–2 in the final. In the playoff for third place, the Netherlands defeated Austria 6–1. In the classification round, Belgium defeated Finland 4–3 for fifth place while Switzerland defeated Czechoslovakia for seventh place.

Helvetia Cup
The Helvetia Cup or European B Team Championships was a European mixed team championship in badminton. The first Helvetia Cup tournament took place in Zurich, Switzerland in 1962, when it was still known as the Nations Cup (German: Nationen Cup im Badminton). The tournament took place every two years from 1971 until 2007, after which it was dissolved.
Munson Steamship Line
The Munson Steamship Line, frequently shortened to the Munson Line, was an American steamship company that operated in the Atlantic Ocean primarily between U.S. ports and ports in the Caribbean and South America. The line was founded in 1899 as a freight line, added passenger service in 1919, and went out of business in 1937.

Cosulich Line
The Cosulich Line, formally the Cosulich Società Triestina di Navigazione, is a steamship line that was based in Trieste, Italy. The company had been founded in 1889 by Antonio F. Cosulich's son as a family business. In 1903 as Unione Austriaca di Navigazione, more commonly called the Austro-American or Austro-Americana Line, when Trieste was under the rule of Austria-Hungary. After the first World War, the company became an Italian-based shipping company.  In 1932 the company was forced to merge with the Lloyd Sabaudo and the Navigazione Generale Italiana, to form the Italian Line.
Huacratanca
Huacratanca (possibly from Quechua waqra horn, tanka fork) is a 5,024-metre-high (16,483 ft) mountain in the Urubamba mountain range in the Andes of Peru. It is located in the Cusco Region, Urubamba Province, Ollantaytambo District. It lies northwest of Salcayoc and Patacancha, and northeast of Huarmaripayoc.

Urubamba mountain range
The Urubamba mountain range (possibly from Quechua uru spider, pampa a plain) lies in the Cusco Region in Peru. It extends in a northwesterly direction between 13°08' and 13°17'S and 71°58' and 72°16'W for about 30 km.
1,3,5,7-Tetramethyl-1,3,5,7-tetrasilaadamantane
1,3,5,7-Tetramethyl-1,3,5,7-tetrasilaadamantane is the organosilicon compound with the formula (CH2)6(SiCH3)4. It is a colorless solid that is soluble in organic solvents. The compound is one of the iconic carbosilanes, featuring alternating −Si−C−Si−C− linkages. Otherwise it can be described as a diamondoid cluster. It arises as one of many products from the pyrolysis of tetramethylsilane. A more efficient route involves the reaction of the cyclic carbosilane (CH2Si(CH3)2)3 (1,1,3,3,5,5-hexamethyl-1,3,5-trisilacyclohexane) with aluminium tribromide.

Carbosilanes
Carbosilanes are organosilicon compounds where the structures feature alternating silicon and carbon atoms, i.e., −Si−C−Si−C− linkages. They represent molecular analogues of silicon carbide. The compounds exploit the tendency of both carbon and silicon to form tetrahedral structures. The inventory of carbosilanes is large.
In the Midnight Hour
"In the Midnight Hour" is a song originally performed by American singer Wilson Pickett in 1965 and released on his 1965 album of the same name, also appearing on the 1966 album The Exciting Wilson Pickett.  The song was composed by Pickett and Steve Cropper at the historic Lorraine Motel in Memphis, later (April 1968) the  site of the assassination of Martin Luther King Jr.  Pickett's first hit on Atlantic Records, it reached number one on the R&B charts and peaked at number 21 on the pop charts.

Al Jackson Jr.
Albert J. Jackson Jr. (November 27, 1935 – October 1, 1975) was an American drummer, producer, and songwriter. He was a founding member of Booker T. & the M.G.'s, a group of session musicians who worked for Stax Records and produced their own instrumentals. Jackson was affectionately dubbed "The Human Timekeeper" for his drumming ability. He was posthumously inducted into the Memphis Music Hall of Fame in 2015, and the Rock and Roll Hall of Fame as a member of Booker T. & the M.G.'s in 1992.
Cullen plicatum
Cullen plicatum, synonym Psoralea plicata, is a herb species in the genus Psoralea. It is native from northern Africa to north-west India and to South Africa.

C. plicatum contains plicadin, a coumestan, and plicatin A and B, two hydroxycinnamic acids.

Psoralea
Psoralea is a genus in the legume family (Fabaceae) with 121 species of shrubs, trees, and herbs native to southern and eastern Africa, ranging from Kenya to South Africa. In South Africa they are commonly referred to as fountainbush (English); fonteinbos, bloukeur, or penwortel (Afrikaans); and umHlonishwa (Zulu).
Malta International Airshow
The Malta International Airshow is an annual air show held at the Malta International Airport organized by the Malta Aviation Society. It was first held in September 1993 over Marsamxett Harbour, but then moved to Malta International Airport with the exception of the years 2007 and 2009. During these years, the event was held at St. Paul's Bay due to the construction of new hangars at the airport, where cranes would have been a hazard for the low flying aircraft.

Active years 1993 to 2021; however 2018 and 2019 did not take place due to lack of funds, and 2020 was skipped due to COVID-19. It was returned shortly after in 2021 and was cancelled in 2022 and 2024. The airshow happened again in 2023. As of 2025, the airshow is held every two years

Air show
An air show (or airshow, air fair, air tattoo) is a public event where aircraft are exhibited. They often include aerobatics demonstrations, without which they are called "static air shows" with aircraft parked on the ground.

The largest air show measured by number of exhibitors and size of exhibit space is Le Bourget, followed by Farnborough, with the Dubai Airshow and Singapore Airshow both claiming third place. The largest air show or fly-in by number of participating aircraft is EAA AirVenture Oshkosh, with approximately 10,000 aircraft participating annually. The biggest military airshow in the world is the Royal International Air Tattoo, at RAF Fairford in the United Kingdom. On the other hand, FIDAE in II Air Brigade of the FACH, next to the Arturo Merino Benítez International Airport in Santiago, Chile, is the largest aerospace fair in Latin America and the Southern Hemisphere.
Attenuation coefficient
The linear attenuation coefficient, attenuation coefficient, or narrow-beam attenuation coefficient characterizes how easily a volume of material can be penetrated by a beam of light, sound, particles, or other energy or matter. A coefficient value that is large represents a beam becoming 'attenuated' as it passes through a given medium, while a small value represents that the medium had little effect on loss. The (derived) SI unit of attenuation coefficient is the reciprocal metre (m−1). Extinction coefficient is another term for this quantity, often used in meteorology and climatology. 
The attenuation length is the reciprocal of the attenuation coefficient.

Number density
The number density (symbol: n or ρN) is an intensive quantity used to describe the degree of concentration of countable objects (particles, molecules, phonons, cells, galaxies, etc.) in physical space: three-dimensional volumetric number density, two-dimensional areal number density, or one-dimensional linear number density. Population density is an example of areal number density. The term number concentration (symbol: lowercase n, or C, to avoid confusion with amount of substance indicated by uppercase N) is sometimes used in chemistry for the same quantity, particularly when comparing with other concentrations.
Unkervatnet
Unkervatnet (Norwegian) or Åanghkejaevrie (Southern Sami) is a lake in Hattfjelldal Municipality in Nordland county, Norway. It is a good lake for fishing lake trout and Arctic char both during summer and winter. The river flowing into the lake from the east is called Skarmodalselva, and the outflowing river is called Unkerelva (which itself flows into the river Vefsna). For tourists, there are two places available by the shoreside: Ørnes camping at the eastern end of the lake, and Tjolmen, situated on the north side of the lake's middle. The road from the village of Hattfjelldal to the village of Dikanäs in Sweden runs along the north side of the lake.

Vefsna
Vefsna (Norwegian), Vaapstenjeanoe (Southern Sami), or Vapstälven (Swedish) is the largest river in Nordland county, Norway. It is 163 kilometres (101 mi) long and drains a watershed of 4,122 square kilometres (1,592 sq mi). Its headwaters lie in the mountains of Børgefjell National Park at the lake Simskardvatnet. The river runs through Hattfjelldal Municipality, Grane Municipality, and Vefsn Municipality. The southern parts of the river are sometimes called the river Susna. The river flows north, not far from the Swedish border, and some of the minor tributaries come from Sweden. At the town of Mosjøen, the river discharges into the Vefsnfjorden. The Laksforsen waterfall lies along its course.

Historically, it was an important salmon fishery, but it has now been infected with the salmon parasite Gyrodactylus salaris.
1973 Offaly Senior Hurling Championship
The 1973 Offaly Senior Hurling Championship was the 76th staging of the Offaly Senior Hurling Championship since its establishment by the Offaly County Board in 1896.

St Rynagh's entered the championship as the defending champions.

The final was played on 28 October 1973 at St Brendan's Park in Birr, between St Rynagh's and Drumcullen, in what was their second meeting in the final in overall. St Rynagh's won the match by 0–12 to 1–07 to claim their seventh championship title overall and a second championship title in succession.

Offaly Senior Hurling Championship
The Offaly Senior Hurling Championship (known for sponsorship reasons as the Molloy Environmental Senior Hurling Championship) is an annual hurling competition contested by top-tier Offaly GAA clubs. The Offaly County Board of the Gaelic Athletic Association has organised it since 1896.

Kilcormac–Killoughey are the title-holders, defeating shinrone by 1–24 to 2–14 in the 2025 final.
Brunflo
Brunflo (Swedish pronunciation: [ˈbrɵ̌nːflʊ]) is a locality situated in Östersund Municipality, Jämtland County, Sweden with 3,890 inhabitants in 2010. It is situated some 15 km south-east of Östersund.

The cyclist Georg Johnsson was born here

Jämtland County
Jämtland County (Swedish: Jämtlands län, Southern Sami: Jiemthen leene) is a county or län in Sweden. It consists of the provinces of Jämtland and Härjedalen, along with minor parts of Hälsingland and Ångermanland, plus two small strips of Lapland and Dalarna. It borders the counties of Dalarna, Gävleborg, Västernorrland, and Västerbotten, as well as the Norwegian county of Trøndelag. It measures 49,443 km2 (19,090 sq mi) and constitutes 12% of Sweden's total area, making it the country's third largest county. The capital is Östersund. The county governor and leader of the administrative board, as appointed by the Swedish government, has been Marita Ljung since 2021.

The county was established in 1810, at the time it consisted only of the provinces of Jämtland and Härjedalen, which is why the coat of arms is a shield parted per fess with their provincial arms. King Carl XVI Gustaf is occasionally referred to as Duke of Jämtland after his title of king.