hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Rank-finiteness
In mathematics, rank-finiteness for fusion categories is a collection of related theorems and conjectures about structures related to fusion categories. The question is whether or not a given categorical structure related to fusion categories has finitely many or infinitely many equivalence classes of a given rank. The original result in this direction was Ocneanu rigidity, which asserts that every fusion ring has finitely many categorifications. A particularly relevant example to condensed matter physics is the rank-finiteness theorem for modular tensor categories.

Here and throughout, the rank of a fusion category refers to the number of isomorphism classes of simple objects it has.

Finite set
In mathematics, a finite set is a collection of finitely many different things; the things are called elements or members of the set and are typically mathematical objects, such as numbers, symbols, points in space, lines, other geometric shapes, variables, or other sets.

Informally, a finite set is a set which one could in principle count and finish counting.  For example,

is a finite set with five elements. The number of elements of a finite set is a natural number (possibly zero) and is called the cardinality (or the cardinal number) of the set. A set that is not a finite set is called an infinite set. For example, the set 

of all positive integers is infinite.

Finite sets are particularly important in combinatorics, the mathematical study of counting. Many arguments involving finite sets rely on the pigeonhole principle, which states that there cannot exist an injective function from a larger finite set to a smaller finite set.
Michael V. Hayden Center
The Michael V. Hayden Center for Intelligence, Policy, and International Security (Hayden Center) is a think tank in Arlington County, Virginia focused on the intelligence community including topics related to intelligence studies education, intelligence analysis techniques, the operations of intelligence agencies, and public policy and international relations related to national security, international security, and foreign policy through shared experiences of senior intelligence service leaders, military officers, elected officials, journalists, academics, and other civilian scholars.

The center is housed in the Schar School of Policy and Government but also cooperates with the Antonin Scalia Law School’s National Security Institute (another think tank) in conducting research around legal issues pertaining to national security; both of which are affiliated with George Mason University.

Intelligence studies
Intelligence studies is an interdisciplinary academic field that concerns intelligence assessment and intelligence analysis. Intelligence has been referred to as the "lost dimension" of the fields of international relations (IR) and diplomatic history, as the secretive nature of the subject means most intelligence successes are unknown.

Among the academic journals concentrating on the subject are the Intelligence and National Security and International Journal of Intelligence and CounterIntelligence while other periodicals in the fields of IR and security studies, such as International Security, publish articles concerned with intelligence studies regularly.

Many universities, such as Aberystwyth, teach intelligence studies as an independent degree or as part of courses in IR, security studies, military science or related subjects.
Silversword
Silversword is a fantasy role-playing game created by Mario J. Gaida. It was released for the iOS operating system on 13 January 2012 and is available for the Apple iPad and iPhone.

Gaida modeled Silversword after the 1980s The Bard's Tale series of games, but provided a new storyline and plot. It retains the dungeon crawl character of the Bard's Tale series (first person party based play). It also integrates some of the mechanics of the original Dungeons & Dragons game, specifically, armor classes and the use of dice rolls (e.g., d20) to determine random factors within the game and is instantly playable by anyone familiar with Ultima or Wizardry.

Frequently updated, the game now offers an expansion, German and French translations, and an online discussion forum with announcements, tips and cheats, feature requests, etc.

Ultima (series)
Ultima is a series of open world fantasy role-playing video games from Origin Systems, created by Richard Garriott. Electronic Arts has owned the brand since 1992. The series had sold over 2 million copies by 1997.

Alongside Wizardry and Might and Magic, the Ultima series is considered to have established many norms of the computer role-playing game genre. Several games of the series are considered seminal in their genre. Their innovations, particularly in the early installments, were widely copied by other games.

The Ultima games are primarily within the scope of fantasy fiction but contain science fiction elements as well. They take place for the most part in a world called Britannia; the recurring hero is initially called the Stranger, until he attains the role of Avatar in Ultima IV and is known by that appellation from then on.
Republiek (political organisation)
Republiek is a Dutch republican pressure group advocating for the replacement of the Dutch Monarchy with a de jure parliamentary republic, founded in January 1998 in Amsterdam by Ewout Irrgang and Elisabeth van der Steenhoven, under the previous name Nieuw Republikeins Genootschap (NRG). It is a member organisation of the Alliance of European Republican Movements and is currently the largest organisation solely campaigning for a republican constitution for The Netherlands. Republiek states that its mission is: "To achieve the abolition of the Dutch monarchy in favour of a democratic republic".

Dam Square
Dam Square or the Dam (Dutch pronunciation: [dɑm]) is a town square in Amsterdam, the capital and most populated city of the Netherlands. Its notable buildings and frequent events make it one of the best-known and most important locations in the city and the country.
Schnetzer
Schnetzer is a surname. Notable people with the surname include:

Ben Schnetzer, American actor

Ferenc Schnetzer (1867–1944), Hungarian military officer and politician

Patrick Schnetzer (born 1993), Austrian cycle ball player

Ricardo Schnetzer (1953–2026), Brazilian voice actor

Stephen Schnetzer (born 1948), American actor

Stephen Schnetzer
Stephen Paul Schnetzer (born June 11, 1948) is an American actor. He is best known for playing the role of Cass Winthrop on Another World from 1982 to 1986, returning in 1987 until the show's cancellation in 1999. He won a Soap Opera Digest Award for Outstanding Comic Actor in 1989 for his role on Another World and received a Daytime Emmy Award nomination in 1990 for Outstanding Lead Actor.
2000 Ohio Democratic presidential primary
The 2000 Ohio Democratic presidential primary took place on March 7, 2000, as one of 15 states and one territory holding primaries on the same day, known as Super Tuesday, in the Democratic Party primaries for the 2000 presidential election. The Ohio primary was a semi-open primary and awarded 169 delegates towards the 2000 Democratic National Convention, of which 146 were pledged delegates allocated based on the results of the primary.

Vice president Al Gore won the primary in a landslide with almost 73% of the vote and 109 delegates, while senator Bill Bradley gained just shy of 25% of the vote, secured 37 delegates, and won his first and only congressional district. The remaining 2% went to one other candidate, Lyndon LaRouche Jr. Gore did not cross the necessary majority of 2,171 delegates to officially win the Democratic nomination after Super Tuesday, but Bradley would withdraw three days later, leaving Gore as the presumptive nominee.

Delegate (American politics)
A delegate is a person selected to represent a group of people in some political assembly of the United States.

There are various types of delegates elected to different political bodies. In the United States Congress delegates are elected to represent the interests of a United States territory and its citizens or nationals. In addition, certain US states are governed by a House of Delegates or another parliamentary assembly whose members are known as elected delegates.

Prior to a United States presidential election, the major political parties select delegates from the various state parties for a presidential nominating convention, often by either primary elections or party caucuses.
Congress of Chiapas
The Congress of the State of Chiapas (Spanish: Congreso del Estado de Chiapas) is the legislative branch of  the government of the State of Chiapas. It was constituted for the first time after the state's accession to Mexico on 5 January 1825. The Congress is the governmental deliberative body of Chiapas, which is equal to, and independent of, the executive.

At present it is composed of an assembly of 40 deputies, 24 of whom are elected on a first-past-the-post basis, one for each district in which the entity is divided. The rest is elected through a system of proportional representation. Deputies are elected to serve for a three-year term. Its headquarters are in the state capital, Tuxtla Gutiérrez.

Tuxtla Gutiérrez
Tuxtla Gutiérrez, or Tuxtla, (Spanish: [ˈtuɣstla ɣuˈtjeres] ⓘ, Nahuatl: [ˈtuʃt͡ɬa]) is the capital and the largest city of the Mexican southeastern state of Chiapas. It is the seat of the municipality of the same name, which is the most developed and populous in the state. A busy government, commercial and services-oriented city, Tuxtla had one of the fastest-growing rates in Mexico over the last 40 years. Unlike many other areas in Chiapas, it is not a major tourist attraction, but a transportation hub for tourists coming into the state, with a large airport and a bus terminal.
Mount Dobson
Mount Dobson is the common name for Dobson Peak as a result of being used for the name of a ski resort near Fairlie in South Canterbury, South Island of New Zealand. There is an official Mount Dobson being 702 m (2,303 ft) high at the northern end of the South Island in Marlborough District between Blenheim and Picton, and an unofficial Mount Dobson in the Southern Alps at 2,265 m (7,431 ft) only a short distance due west. Accordingly confusion could arise.

Blenheim, New Zealand
Blenheim (/ˈblɛnɪm/ BLEN-im; Māori: Waiharakeke) is the most populous town in the region of Marlborough, in the north east of the South Island of New Zealand. It has an estimated population of 30,300 as of June 2024. The surrounding Marlborough wine region is well known as the centre of the New Zealand wine industry. It enjoys one of New Zealand's sunniest climates, with warm, relatively dry summers and cool, crisp winters.

Blenheim is named after the Battle of Blenheim (1704) in the War of the Spanish Succession, where troops led by John Churchill, 1st Duke of Marlborough defeated a combined French and Bavarian force. The New Zealand Ministry for Culture and Heritage gives a translation of "flax stream" for the town's Māori name, Waiharakeke.
The House of Three Girls (1958 film)
The House of Three Girls (German: Das Dreimäderlhaus) is a 1958 Austrian-West German musical film directed by Ernst Marischka and starring Karlheinz Böhm, Rudolf Schock and Magda Schneider. It is based on the operetta Das Dreimäderlhaus. The story had previously been made into the film Three Girls for Schubert in 1936.

The film's sets were designed by the art director Fritz Jüptner-Jonstorff.

Fritz Jüptner-Jonstorff
Fritz Jüptner-Jonstorff (1908–1993) was an Austrian art director who worked on more than a hundred films during his career. Jüptner-Jonstorff was one of the leading figures in his field in Europe, designing sets for films such as Victoria in Dover (1954) and Sissi (1955).
Bertrand Traoré
Bertrand Isidore Traoré (born 6 September 1995) is a Burkinabé professional footballer who plays as a forward or a right winger for Premier League club Sunderland and captains the Burkina Faso national team.

After beginning his career at Auxerre, Traoré finished his development at Chelsea, and made his debut in a one-and-a-half-year loan at Vitesse in the Eredivisie. After a season in the Premier League with Chelsea, he was loaned back to the Netherlands to play for Ajax in 2016, and a year later signed for Lyon for €10 million. He then played for İstanbul Başakşehir on loan until 2023.

A full international from the age of 15, Traoré represented Burkina Faso at six Africa Cup of Nations tournaments.

KNVB Cup
The KNVB Beker (pronounced [ˌkaːʔɛɱveːˈbeː ˈbeːkər]; English: KNVB Cup), branded as the Eurojackpot KNVB Beker for sponsorship reasons, is a competition in the Netherlands organised by the Royal Dutch Football Association (KNVB) since 1898. It was based on the format of the English FA Cup. Outside the Netherlands, it is often referred to as the Dutch Cup. The tournament consists of all teams from the top four tiers of Dutch league football (Eredivisie, Eerste Divisie, Tweede Divisie and Derde Divisie), as well as the 24 semi-finalists (or replacements) of the six KNVB District Cups. The finals of the tournament traditionally takes place in De Kuip, and has been held there every season since the 1989 final. The winners of the cup compete against the winners of the Eredivisie for the Johan Cruyff Shield, (equivalent to a super cup) which acts as the curtain raiser for the following season.
2024–25 North Dakota Fighting Hawks men's basketball team
The 2024–25 North Dakota Fighting Hawks men's basketball team represented the University of North Dakota during the 2024–25 NCAA Division I men's basketball season. The Fighting Hawks were led by sixth-year head coach Paul Sather and played their home games at the Betty Engelstad Sioux Center in Grand Forks, North Dakota as members of the Summit League.

The Fighting Hawks finished the season 12–21, 5–11 in Summit League play, to finish in a tie for sixth place. In the Summit League tournament, they defeated No. 3 seed South Dakota State in the quarterfinals, but were eliminated by No. 2 seed St. Thomas in the semifinals.

2024–25 South Dakota State Jackrabbits men's basketball team
The 2024–25 South Dakota State Jackrabbits men's basketball team represented South Dakota State University in the 2024–25 NCAA Division I men's basketball season. The Jackrabbits, led by sixth-year head coach Eric Henderson, played their home games at First Bank & Trust Arena in Brookings, South Dakota, as members of the Summit League. They finished the season 20–12, 11–5 in Summit League play to finish in third place. They lost to North Dakota in the quarterfinals of the Summit League tournament.

On March 28, 2025, head coach Eric Henderson left the team to take the head coaching position at Drake. A day later, the school named assistant coach Bryan Petersen the team's new head coach.
Afrocarpus mannii
Afrocarpus mannii is an evergreen coniferous tree native to the Afromontane forests of São Tomé Island in the Gulf of Guinea, growing on Pico de São Tomé at altitudes of 1,300 m (4,300 ft) up to the summit at 2,024 m (6,640 ft). This is the only Gymnosperm found on São Tomé e Príncipe. It was formerly classified as Podocarpus mannii.

It is a small tree, growing 10–15 m tall. The leaves are spirally arranged, lanceolate, 6–8 cm long on mature trees, larger, to 15 cm long and 2 cm broad, on vigorous young trees. The seed cones are highly modified, with a single 2 cm diameter seed with a thin fleshy coating borne on a short peduncle. The pollen cones are 1.5–2.5 cm long, solitary or in pairs on a short stem.

Gulf of Guinea
The Gulf of Guinea (French: Golfe de Guinée; Spanish: Golfo de Guinea; Portuguese: Golfo da Guiné) is the northeasternmost part of the tropical Atlantic Ocean from Cape Lopez in Gabon, north and west to Cape Palmas in Liberia. Null Island, defined as the intersection of the Equator and Prime Meridian (zero degrees latitude and longitude), is in the gulf.

Among the many rivers that drain into the Gulf of Guinea are the Niger and the Volta. The coastline on the gulf includes the Bight of Benin and the Bight of Bonny.
Concentric twinax connector
A concentric twinax connector has a center pin (signal high) and a cylindrical intermediate contact (signal low) as compared to a dual polarized pin type.

These connectors are also used for connecting Triaxial cable.

Triaxial cable
Triaxial cable, often referred to as triax for short, is a type of electrical cable similar to coaxial cable, but with the addition of an extra layer of insulation and a second conducting sheath. Triax provides greater bandwidth and rejection of interference than coax, but is more expensive.
Georg Tripp
Georg Tripp (born 18 March 1941 in Marburg) is a German football player and coach and coach. He played as a forward for VfL Marburg, 1. FC Köln, Kickers Offenbach, Mainz 05, FC Metz, CS Sedan, Olympique Avignonnais, AS Angoulême, Stade Lavallois and RC Paris. After his playing career, he became a coach with AS Douanes and Inter Luanda.

AS Douanes (Senegal)
AS Douanes is a Senegalese professional football club based in Dakar. The current chairman as of 2016 is Alassane Ndione. Douanes also has the third most number of major honours won in Senegal numbering 14. They won 6 championship and cup titles, a super cup and a league cup.

The club plays at Stade Demba Diop, sometimes they play at Stade Alassane Djigo.
Yakou (mountain pass)
Yakou (Chinese: 埡口; pinyin: Yàkǒu), also known as Guanshan Pass (Chinese: 關山埡口; pinyin: Guānshān Yàkǒu) or Daguanshan Pass (Chinese: 大關山埡口; pinyin: Dàguānshān Yàkǒu), is a mountain pass in Taiwan transversing the Central Mountain Range within Yushan National Park. The name Yakou literally means "mountain pass". At the peak, there is a short, one-way named the Daguanshan Tunnel, which is the highest tunnel in Taiwan. Administratively, it is located at the border of Taoyuan, Kaohsiung and Haiduan, Taitung.

Yakou is known its frequent sea of clouds on the east side due to orographic lift from the Pacific Ocean. However, due to severe road collapses following Typhoon Morakot in 2009, Yakou is currently inaccessible by car.

Occasionally, the character "啞" (yǎ) is used in place of 埡 since the latter is a rarely used character.

Sea of clouds
A sea of clouds is an overcast layer of stratocumulus clouds, as viewed from above, with a relatively uniform top which shows undulations of very different lengths resembling waves on the sea. A sea of fog is formed from stratus clouds or fog and does not show undulations.

In both cases, the phenomenon looks very similar to the open ocean. The comparison is even more complete if some mountain peaks rise above the clouds, thus resembling islands.
Michael Thewlis
Michael James Thewlis (born 19 January 1970) was an English cricketer. He was a right-handed batsman and a right-arm medium-pace bowler who played for Northumberland. He was born in Ashington.

Thewlis made a single List A appearance for the team, in the 1994 NatWest Trophy, against Nottinghamshire. He scored a duck in the match, and took just one wicket, that of former England Test cricketer Tim Robinson.

Thewlis continued to play for Northumberland in the Minor Counties Championship until 1998. He joined West Hertfordshire between 2002 and 2004, and played for Winchmore Hill between 2005 and 2006.

Thewlis' father Jim and uncle Joe both played cricket for Northumberland during the 1970s.

Ashington
Ashington is a town and civil parish in Northumberland, England, with a population of 27,864 at the 2011 Census. It was once a centre of the coal mining industry. The town is 15 miles (24 km) north of Newcastle upon Tyne, west of the A189 and bordered to the south by the River Wansbeck. Many inhabitants have a distinctive accent and dialect known as Pitmatic. This varies from the regional dialect known as Geordie.
Beșghioz
Beșghioz (Gagauz: Beşgöz) is a commune and village in the Gagauz Autonomous Territorial Unit of the Republic of Moldova.  The 2004 census listed the commune as having a population of 3,391 people.  93% of its population are Gagauz. Minorities included 76 Russians, 66 Bulgarians, and 46 Moldovans.

Its geographical coordinates are 46° 7' 18" North, 28° 52' 20" East.

The former governor (or başkan) of Gagauzia (2006-2015), Mihail Formuzal, was born in Beșghioz in 1959.

Gagauz people
The Gagauz (/ɡəˈɡɔːz/; Gagauz: Gagauzlar) are an Oghuz Turkic ethnic group native to southern Moldova (Gagauzia, Taraclia District, Basarabeasca District) and southwestern Ukraine (Budjak). Gagauz are mostly Eastern Orthodox Christians. The term Gagauz is also often used as a collective naming of Turkic people living in the Balkans, speaking the Gagauz language, which is separate from Balkan Gagauz Turkish.
La Bisbal de Montsant
La Bisbal de Montsant (Catalan pronunciation: [la βizˈbal de monˈsan]) is a municipality in the comarca of the Priorat in Catalonia, Spain. It has a population of 208 (register office, 2024) .

The economy is mostly based on agriculture, with production of olives and olive oil.

Priorat
Priorat (Western Catalan: [pɾi.oˈɾat]) is a comarca (county) in Camp de Tarragona, Catalonia, Spain. The region is named due to the monastery of Scala Dei which held many properties and the capital is now the town of Falset.
Tom Ackerman (American football)
Thomas Michael Ackerman (September 6, 1972) is an American former professional football center in the National Football League (NFL). He was selected by the New Orleans Saints in the fifth round (145th overall) of the 1996 NFL draft out of Eastern Washington University. He played for the Saints for the next 6 seasons. After the Saints, he signed with the Tennessee Titans and played for them for the next two seasons.

Eastern Washington University
Eastern Washington University (EWU) is a public university in Cheney, Washington, United States. It shares Riverpoint Campus, its satellite campus in Spokane, Washington, with Washington State University.

Founded in 1882, the university is academically divided into four colleges: the College of Arts, Humanities & Social Sciences; the College of Health Science & Public Health; the College of Professional Programs; and the College of Science, Technology, Engineering & Mathematics.
Smojmirovo
Smojmirovo (Macedonian: Смојмирово) is a village in the Berovo Municipality of North Macedonia.

Smojmirovo's original name (with diacritics) is Smojmirovo. Smijmirovo's distance is 3.6 km/2.24 mi away from the center of the municipality.

Berovo Municipality
Berovo (Macedonian: Берово [ˈbɛrɔvɔ] ⓘ) is a municipality in the eastern part of the Republic of North Macedonia. Berovo is also the name of the town where the municipal seat is located. The Berovo Municipality is part of the Eastern Statistical Region.
Sphenacodontia
Sphenacodontia is a stem-based clade of derived synapsids. It was defined by Amson and Laurin (2011) as "the largest clade that includes Haptodus baylei, Haptodus garnettensis and Sphenacodon ferox, but not Edaphosaurus pogonias". They first appear during the Late Pennsylvanian (Upper Carboniferous) epoch. From the end of the Carboniferous to the end of the Permian, most of them remained large, with only some secondarily becoming small in size.

Basal Sphenacodontia constitute a transitional evolutionary series from early pelycosaurs to ancestral therapsids (which in turn were the ancestors of more advanced forms and finally the mammals). One might say that the sphenacodontians are proto-therapsids (even though there is almost a 30-million-years gap between the separation of the ancestors of therapsids from other sphenacodontians and the first appearance of therapsids in the fossil record).

Phylogenetic nomenclature
Phylogenetic nomenclature (sometimes called cladistic nomenclature) is a method of nomenclature for taxa in biology that uses phylogenetic definitions for taxon names. Phylogenetic nomenclature assigns names to clades, groups consisting solely of an ancestor and all its descendants. This contrasts with the traditional method, by which taxon names are defined by a type, which can be a specimen or a taxon of lower rank, and a description in words. Phylogenetic nomenclature is regulated currently by the International Code of Phylogenetic Nomenclature (PhyloCode).