hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Jónsson–Tarski algebra
In mathematics, a Jónsson–Tarski algebra or Cantor algebra is an algebraic structure encoding a bijection from an infinite set X onto the product X×X. They were introduced by Bjarni Jónsson and Alfred Tarski (1961, Theorem 5).  Smirnov (1971), named them after Georg Cantor because of Cantor's pairing function and Cantor's theorem that an infinite set X has the same number of elements as X×X. The term Cantor algebra is also occasionally used to mean the Boolean algebra of all clopen subsets of the Cantor set, or the Boolean algebra of Borel subsets of the reals modulo meager sets (sometimes called the Cohen algebra).

The group of order-preserving automorphisms of the free Jónsson–Tarski algebra on one generator is the Thompson group F.

Order isomorphism
In the mathematical field of order theory, an order isomorphism is a special kind of monotone function that constitutes a suitable notion of isomorphism for partially ordered sets (posets). Whenever two posets are order isomorphic, they can be considered to be "essentially the same" in the sense that either of the orders can be obtained from the other just by renaming of elements. Two strictly weaker notions that relate to order isomorphisms are order embeddings and Galois connections.

The idea of isomorphism can be understood for finite orders in terms of Hasse diagrams. Two finite orders are isomorphic exactly when a single Hasse diagram (up to relabeling of its elements) expresses them both, in other words when every Hasse diagram of either can be converted to a Hasse diagram of the other by simply relabeling the vertices.
Walter Flowers
Walter Winkler Flowers, Jr. (April 12, 1933 – April 12, 1984) was an American Democratic politician who represented Alabama's 5th congressional district and Alabama's 7th congressional district in the United States House of Representatives from January 1969 to January 1979.

Alabama's 5th congressional district
34°46′39.78″N 86°46′51.62″W﻿ / ﻿34.7777167°N 86.7810056°W﻿ / 34.7777167; -86.7810056

Alabama's 5th congressional district is a U.S. congressional district in Alabama, which elects a representative to the United States House of Representatives. It encompasses the counties of Lawrence, Limestone, Madison, Morgan, Jackson, and part of Lauderdale. It is currently represented by Republican Dale Strong, a former Madison County Commissioner. Strong was first elected in 2022 following the retirement of Republican incumbent Mo Brooks.
2010 Zagreb Open – Doubles
Peter Luczak and Alessandro Motti were the defending champions, but Luczak chose not to compete this year and Motti chose to compete in Biella instead.
Andre Begemann and Matthew Ebden won in the final 7–6(5), 5–7, [10–3] against Rubén Ramírez Hidalgo and Santiago Ventura.

Andre Begemann
Andre Begemann (born 12 July 1984) is a German inactive professional tennis player. He is a doubles specialist who reached his career-high ATP doubles ranking of world No. 36, achieved in May 2015. He has a career-high singles ranking of No. 166, achieved in July 2010. Begemann has won four ATP Tour doubles titles.
Wallace Brigden
Wallace William Brigden (8 June 1916 – 11 March 2008) was a British cardiologist who pioneered new treatments for heart disease after the Second World War.

He is buried at St Andrew's church, Totteridge, London.

Totteridge
Totteridge is a residential area and former village in the London Borough of Barnet, England. It is a mixture of suburban development and open land (including some farmland) situated 8 miles (13 km) north north-west of Charing Cross. It is part of the Whetstone postal district (N20).

It gives its name to a ward in the borough and to the St Andrew, Totteridge ecclesiastical parish of the Diocese of St Albans.
Inox Festival
Inox festival was created in 2003 by Marc TAMBON, owner of “La Dune” nightclub in Toulouse, France. The electronic music festival is famous for having hosted DJ's such as Joachim Garraud, Avicii, Sebastien Drums and many others. After the success of the festival, Inox owner created Inox club events in La Dune and changed the club's name into Club Rouge. Due to high demands, Inox Festival expended to Strasbourg in 2009. In 2010 the first Inox Park opened in Paris. The Paris Festival lasted three days and was a success. Since then, Inox has been doing worldwide festivals in places such as Rio de Janeiro.

Laidback Luke
Lucas Cornelis van Scheppingen (born 22 October 1976), better known under his stage name Laidback Luke, is a Filipino-born Dutch DJ and record producer. He notably remixed the Robin S. song, "Show Me Love" which charted at No. 11 on the UK charts in 2009. He is also the founder of Mixmash Records.
Orthodox semigroup
In mathematics, an orthodox semigroup is a regular semigroup whose set of idempotents forms a subsemigroup. In more recent terminology, an orthodox semigroup is a regular E-semigroup. The term orthodox semigroup was coined by T. E. Hall and presented in a paper published in 1969. Certain special classes of orthodox semigroups had been studied earlier. For example, semigroups that are also unions of groups, in which the sets of idempotents form  subsemigroups were studied by P. H. H. Fantham in 1960.

Idempotence
Idempotence (UK: /ˌɪdɛmˈpoʊtəns/, US: /ˈaɪdəm-/) is the property of certain operations in mathematics and computer science whereby they can be applied multiple times without changing the result beyond the initial application. The concept of idempotence arises in a number of places in abstract algebra (in particular, in the theory of projectors and closure operators) and functional programming (in which it is connected to the property of referential transparency).

The term was introduced by American mathematician Benjamin Peirce in 1870 in the context of elements of algebras that remain invariant when raised to a positive integer power, and literally means "(the quality of having) the same power", from idem + potence (same + power).
JDX
JDX may stand for:

JDX Racing, founded by Jeremy Dale (racing driver)

KJDX, a California radio station branded JDX

Jamaica Debt Exchange (JDX)

Judgment debtor exams (JDX)

JDX, a legal abbreviation for jurisdiction

.jdx, filename extension for JCAMP-DX

Hexanitrostilbene (JD-X), an explosive

Shenyang J-50, also known as the J-DX, a Chinese 6th generation jet stealth fighter

Shenyang J-50
The Shenyang J-50, J-XD, or J-XDS, is a temporary designation given by military analysts and defense media to a twinjet tailless lambda wing aircraft under development by the Shenyang Aircraft Corporation (SAC). The aircraft was observed in flight testing in Shenyang, Liaoning, China in December 2024, which was tentatively named Shenyang J-XD or Shenyang J-50 by analysts, given the limited available information.
MAS-49 rifle
The MAS-49 is a French semi-automatic rifle that replaced various bolt-action rifles as the French service rifle that was produced from 1949. It was designed and manufactured by the government-owned MAS arms factory. The formal French Army designation of the MAS-49 is Fusil semi-automatique 7 mm 5 M. 49 ("semi-automatic rifle of 7.5 mm model 1949").

Overall, the MAS-49 and 49/56 rifles gained the reputation of being accurate, reliable and easy to maintain in adverse environments. All the MAS-49 and 49/56 rifles feature a rail on the left side of their receivers to accommodate a designated rifle scope.

The MAS-49 and MAS-49/56 were replaced as French service rifles by the FAMAS assault rifle starting in 1979.

Semi-automatic rifle
A semi-automatic rifle is a type of self-loading rifle that fires a single round each time the trigger is pulled while automatically loading the next cartridge. Such rifles were developed before World War II and were widely used throughout that war. Rifles are firearms designed to be fired while held with both hands and braced against the shooter's shoulder for stability. Externally similar shotguns can fire multiple pellets simultaneously through a smoothbore, while rifle barrels are rifled to spin-stabilize individual bullets. The actions of semi-automatic rifles use a portion of the fired cartridge's energy to eject the spent casing and load a new round into the chamber, readying the rifle to be fired again. This design differs from manually operated rifles such as bolt-action and lever-action rifles, which need to chamber a cartridge manually before firing again, and automatic rifles, which continue firing as long as the trigger remains depressed.
Vremski Britof
Vremski Britof (pronounced [ˈwɾeːmski ˈbɾiːtɔf], formerly simply Britof, Italian: Cave Auremiane) is a village on an elevation above the banks of the Reka River in the Municipality of Divača in the Littoral region of Slovenia.

Municipality of Divača
The Municipality of Divača (pronounced [diˈʋaːtʃa]; Slovene: Občina Divača) is a municipality in the Littoral region of Slovenia, near the Italian border. The seat of the municipality is the town of Divača. The municipality was established on 6 November 1994, when the former Municipality of Sežana was dissolved into four smaller municipalities (Divača, Hrpelje-Kozina, Komen, and Sežana). Škocjan Caves, a UNESCO World Heritage Site, is located in the municipality.
Louritz van der Schyff
Louritz van der Schyff is a South African rugby union player for the Blue Bulls in the Currie Cup. He also plays for the Houston SaberCats in Major League Rugby (MLR). His regular position is centre.

Van der Schyff was named in the Blue Bulls squad for the 2021 Currie Cup Premier Division. He made his debut in Round 1 of the 2021 Currie Cup Premier Division against the Western Province.

Houston SaberCats
The Houston SaberCats were an American professional rugby union team based in Houston, Texas, that competes in Major League Rugby (MLR). The team was founded in 2017. The SaberCats organization was born from one of the founding amateur rugby clubs that pooled resources to emerge professionally, and were the first in MLR membership to build a rugby-specific stadium intended for MLR competition. The team announced on 11 September 2025 that it would not be fielding a team for the 2026 Major League Rugby season.
KLO-FM
KLO-FM (103.1 FM) is a commercial radio station licensed to Coalville, Utah, and serving the Salt Lake City metropolitan area. Owned by Capital Broadcasting, It broadcasts a Soft AC format. The station is the radio home for Weber State University sporting events.

Its studios are located at the 257 Tower in Downtown Salt Lake City. KLO-FM has an effective radiated power (ERP) of 89,000 watts.  (The maximum for most FM stations is 100,000 watts.)  The transmitter is atop Humpy Peak, about 21 miles (34 km) east of Coalville.  It also operates several booster stations on 103.1 MHz around Northern Utah.

Coalville, Utah
Coalville is a city in and the county seat of Summit County, Utah, United States. It is part of the Salt Lake City metropolitan area. The population was 1,486 as of the 2020 census. Interstate 80 passes through the town, as well as the Weber River, which flows into Echo Reservoir, just north of Coalville.
Ricky Swallow
Ricky Swallow is an Australian sculptor (born in San Remo, Victoria in 1974), who lives and works in Los Angeles. He creates detailed pieces and installations in a variety of media, often utilising objects of everyday life as well as the body (bones etc.). He studied at the Victorian College of the Arts. He won the Contempora 5 Prize in Melbourne at the age of 25 in 1999. He was later selected to be the Australian representative at the 2005 Venice Biennale with This Time Another Year.

Victorian College of the Arts
The Victorian College of the Arts (VCA) is the arts school at the University of Melbourne in Australia. It is part of the university's Faculty of Fine Arts and Music (FFAM). It is located near the Melbourne city centre on the Southbank campus of the university. The VCA Film and Television School was founded in 1991, after it assumed ownership and management of the Swinburne Film and Television School.

Courses and training offered at the VCA cover seventeen discipline areas: acting and theatre, composition, creative arts and music therapy, dance, design and production, ethnomusicology, film and television, Indigenous arts and culture, interactive composition, jazz and improvisation, music performance, music psychology, music theatre, musicology, performance teaching, visual art, and writing. The VCA is also home to the Wilin Centre for Indigenous Arts and Cultural Development.

The library on the Southbank campus is known as the Lenton Parr Music, Visual and Performing Arts Library.
Unspecific peroxygenase
Unspecific peroxygenase (EC 1.11.2.1, aromatic peroxygenase, mushroom peroxygenase, haloperoxidase-peroxygenase, Agrocybe aegerita peroxidase) is an enzyme with systematic name substrate:hydrogen peroxide oxidoreductase (RH-hydroxylating or -epoxidising). This enzyme catalyses the following chemical reaction

RH + H2O2  ROH + H2O

Unspecific peroxygenase is a heme-thiolate protein comparable to Cytochrome P450 in the ability to catalyze a variety of P450 reactions (hence "unspecific"), but forms a unique, solely fungal, protein family of extracellular enzymes.

Cytochrome P450
Cytochromes P450 (P450s or CYPs) are a superfamily of enzymes containing heme as a cofactor that mostly, but not exclusively, function as monooxygenases. However, they are not omnipresent; for example, they have not been found in Escherichia coli. In mammals, these enzymes oxidize steroids, fatty acids,  xenobiotics, and participate in many biosyntheses. By hydroxylation, CYP450 enzymes  convert xenobiotics into hydrophilic derivatives, which are more readily excreted.

P450s are, in general, the terminal oxidase enzymes in electron transfer chains, broadly categorized as P450-containing systems. The term "P450" is derived from the spectrophotometric peak at the wavelength of the absorption maximum of the enzyme (450 nm) when it is in the reduced state and complexed with carbon monoxide. Most P450s require a protein partner to deliver one or more electrons to reduce the iron (and eventually molecular oxygen).
Linguistic boundary of Brittany
The language boundary in Brittany is the language border between the part of Brittany where Breton (a Celtic language) is spoken and the area in Brittany where Gallo (a Romance language) is spoken. The existence of this linguistic border led to differentiate the Celtic-speaking Lower Brittany (West) from the Romance-speaking Upper Brittany (East).

The farthest eastern extension of the Breton language was in the ninth century, when the linguistic border was located near Nantes and Rennes. Breton declined inexorably in favor of the Gallo gradually moving westward along a Binic-Guérande line. The border can now be traced along a line from Plouha to Rhuys. The linguistic unification of France, completed after World War II, made somewhat obsolete the linguistic aspect of the distinction between Upper and Lower Brittany, although many people still consider it valid in terms of toponymy, culture and identity.

Lower Brittany
Lower Brittany (Breton: Breizh-Izel; French: Basse-Bretagne) denotes the parts of Brittany west of Ploërmel, where the Breton language has been traditionally spoken, and where the culture associated with this language is most prolific. The name is in distinction to Upper Brittany, the eastern part of Brittany, which is of a predominantly Romance culture.
Hin Kong Power Plant
The Hin Kong Power Plant (โรงไฟฟ้าหินกอง) is a 1,400-megawatt combined-cycle gas turbine power station in Ratchaburi Province, Thailand. It is operated by Hin Kong Power Co., Ltd., a joint venture between RATCH Group Public Company Limited and Gulf Energy Development Public Company Limited. The plant supplies electricity to the Electricity Generating Authority of Thailand (EGAT) under a 25-year Power purchase agreement signed in 2019.

Ratchaburi province
Ratchaburi province (Thai: จังหวัดราชบุรี, pronounced [t͡ɕāŋ.wàt râːt.t͡ɕʰā.bū.rīː]) or Rat Buri (pronounced [râːt bū.rīː]) is one of Thailand's seventy-six provinces (changwat) lies in Western Thailand. Neighbouring provinces are (from north clockwise) Kanchanaburi, Nakhon Pathom, Samut Sakhon, Samut Songkhram and Phetchaburi. In the west it borders the Tanintharyi Region of Myanmar.

Ratchaburi is 80 kilometres (50 mi) west of Bangkok and borders Myanmar to the west with the Tenasserim Hills as a natural border. The Mae Klong flows through the centre of Ratchaburi town.
Lanark County, Western Australia
Lanark County was one of the 26 counties of Western Australia that were designated in 1829 as cadastral divisions. It was named after the County of Lanark, Scotland, birthplace of Lieutenant-Governor James Stirling.

It approximately corresponds to the southern part of the Nelson Land District which forms the basis for land titles in the area.

Nelson Land District
Nelson Land District is a land district (cadastral division) of Western Australia, located within the South West Division on the state's south coast. It covers part of the state's Lower South West region and includes the townsites of Bridgetown, Manjimup, Pemberton, Northcliffe and Nannup as well as Point D'Entrecasteaux and, at its far southeastern corner, Walpole (the Frankland River is its boundary at this point).
Speier
Speier is a surname. Notable people with the surname include:

Chris Speier (born 1950), baseball player and coach

Gabe Speier (born 1995), American baseball player

Hans Speier (1905-1990), German-American sociologist

Hermine Speier (1898-1989), German archaeologist

Jackie Speier (born 1950), Democratic congresswoman from California

Justin Speier (born 1973), baseball player

Ryan Speier (born 1979), baseball player

Hans Speier
Hans Speier (February 3, 1905 – February 17, 1990) was a German-American sociologist who worked with the United States Government as a Germany expert both during and after World War II. He also published several books on German politics and culture throughout the middle half of the 20th century.
Manganui River (Taranaki)
Manganui River is a river that flows through the Taranaki Region of New Zealand's North Island. It initially flows east from its sources on the slopes of Taranaki/Mount Egmont, turning north close to Midhirst and joining with the waters of the Waitara River ten kilometres from the North Taranaki Bight coast.

Taranaki
Taranaki is a region in the west of New Zealand's North Island. It is named after its main geographical feature, the stratovolcano Mount Taranaki.

The main centre is the city of New Plymouth. The New Plymouth District is one of three in the region and is home to more than 65 per cent of the population of Taranaki. The Stratford District includes the main centres of Stratford, Midhirst, Toko and Whangamōmona. The South Taranaki District includes Hāwera, Manaia, Eltham, and Ōpunake.

Since 2005, Taranaki has used the promotional brand "Like no other".
2014 CAF Confederation Cup
The 2014 CAF Confederation Cup (also known as the 2014 Orange CAF Confederation Cup for sponsorship reasons) was the 11th edition of the CAF Confederation Cup, Africa's secondary club football competition organized by the Confederation of African Football (CAF). The defending champions CS Sfaxien did not enter the tournament as they qualified for the 2014 CAF Champions League and reached the group stage.

In the final, Al-Ahly of Egypt defeated Séwé Sport of Côte d'Ivoire on the away goals rule after drawing 2–2 on aggregate, to win their first title, and a record-extending 19th overall African title (having already won eight African Champions Cup/CAF Champions League titles, six CAF Super Cup titles and four African Cup Winners' Cup titles). They earned the right to play in the 2015 CAF Super Cup.

CS Sfaxien
Club Sportif Sfaxien (Arabic: النادي الرياضي الصفاقسي), known as CS Sfaxien or simply CSS colloquially, is a Tunisian football club based in Sfax. The club was founded in 1928 and its colours are black and white (Bianconero). Their home stadium, Taieb Mhiri Stadium, has a capacity of 12,000 spectators. The club is currently playing in the Tunisian Ligue Professionnelle 1.
Producers Guild Film Award for Best Lyricist
The Producers Guild Film Awards for Best Lyricist (previously known as the Apsara Award for Best Lyricist) is given by the producers of the film and television guild as part of its annual award ceremony to recognise the best Indian film of the year. Following its inception in 2004, no one was awarded in 2005 and 2007.

Sayeed Quadri
Sayeed Quadri is an Indian lyricist and poet known for his work in Hindi cinema. He gained recognition with his debut in the film Jism (2003) and is best known for his lyrics in films such as Murder (2004) Gangster (2006) and Awarapan (2007). Quadri has been honored with several awards, including the Best Lyricist at the 6th IIFA Awards for the film Murder.
Montang Valley
Montang Valley also known as Mountain of Peace is a village and tourist attraction in the Atharamura Hills under Teliamura sub-division in the Khowai district of the Indian state of Tripura. It is located around 80 kilometres (50 mi) from the capital city Agartala, 30 kilometres (19 mi) from National Highway 8 (India) near Teliamura and is known for its floating clouds and scenic beauty.

Agartala
Agartala (/əˈɡɑːrtələ/, Bengali: [ˈagɔɾˌtɔla] ⓘ, Kok Borok: [aguli]) is the capital and the largest city of the Indian state of Tripura, situated on the banks of Haora/Saidra River, about 2 kilometres (1.2 mi) east of the border with Bangladesh and about 2,499 km (1,552 mi) from the national capital, New Delhi. According to 2022 AMC data, Agartala is the second most populous city after Guwahati in Northeast India. It is India's third international internet gateway and being developed under the Smart Cities Mission.
Surti buffalo
The Surti is a breed of water buffalo found in the Kaira and Vadodara districts of Gujarat between the Mahi and Sabarmati rivers. Its average milk yield is 1,600–1,800 litres (350–400 imp gal; 420–480 US gal). The fat content of the milk is about 8–10 per cent. The best animals of this breed are found in Anand, Kaira and Baroda districts of Gujarat.

Sickle shape horn is its characteristic feature.

Sabarmati River
The Sabarmati River (Gujarati: [sabəɾmət̪iː]) is one of the major west-flowing rivers in India. It originates in the Aravalli Range of the Udaipur District of Rajasthan and meets the Gulf of Khambhat of the Arabian Sea after travelling 371 km (231 mi) in a south-westerly direction across Rajasthan and Gujarat. 48 km (30 mi) of the river length is in Rajasthan, while 323 km (201 mi) is in Gujarat.
Baven
Baven is a village in the municipality of Südheide in the north of Celle district in Lower Saxony, Germany. It lies on the western edge of the Südheide Nature Park, on the Lüneburg Heath and currently has a population of 1,638.

There is evidence that the first settlements here go back to the Bronze Age. Until the 19th century Baven consisted of 15 farmsteads, before the sale and division of an estate (Hofstelle) made new land available and the number of inhabitants rose markedly. In 1973 Baven was incorporated into the municipality of Hermannsburg as part of the regional and administrative reform in Lower Saxony. Hermannsburg became part of Südheide in 2015.

Just north of the village a small stream, the Brunau feeds into the river Örtze.

Örtze
Örtze (German pronunciation: [ˈœʁt͡sə] ⓘ) is a river of Lower Saxony, Germany. The Örtze rises north of Munster in the Große Heide (in the Raubkammer federal forest) and, after 62 kilometres (39 mi), joins the Aller southeast of Winsen.