hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Hypoalgebra
In algebra, a hypoalgebra is a generalization of a subalgebra of a Lie algebra introduced by Patera, Sharp & Slansky (1980). The relation between an algebra and a hypoalgebra is called a subjoining (Patera & Sharp 1980), which  generalizes the notion of an inclusion of subalgebras. There is also a notion of restriction of a representation of a Lie algebra to a subjoined hypoalgebra, with branching rules similar to those for restriction to subalgebras except that some of the multiplicities in the branching rule may be negative. W. G. McKay, J. Patera, and D. W. Rand (1990) calculated many of these branching rules for hypoalgebras.

Multiplicity (mathematics)
In mathematics, the multiplicity of a member of a multiset is the number of times it appears in the multiset.  For example, the number of times a given polynomial has a root at a given point is the multiplicity of that root.

The notion of multiplicity is important to be able to count correctly without specifying exceptions (for example, double roots counted twice).  Hence the expression, "counted with multiplicity".

If multiplicity is ignored, this may be emphasized by counting the number of distinct elements, as in "the number of distinct roots". However, whenever a set (as opposed to multiset) is formed, multiplicity is automatically ignored, without requiring use of the term "distinct".
Andel (company)
Andel (until August 2020 known as SEAS-NVE) is a customer-owned energy company headquartered in Svinninge, Holbæk Municipality, Denmark. It covers the southern and western part of Zealand and Lolland-Falster. The company was founded in 2005 through the merger of SEAS and NVE.

Sydhavsøerne
Sydhavsøerne (lit. "The South Sea Islands"), sometimes also referred to simply as Lolland-Falster from the two largest islands, is an informal but common term used in Danish to refer to the archipelago just south of Zealand, Denmark's largest island where its capital Copenhagen is located. Part of the Baltic Sea, the term covers Lolland, Falster and Møn as well as the numerous smaller islands of the surrounding straits, fjords and waters.

The name is a parody on the similar Danish name for the South Pacific Islands of Micronesia, Melanesia and Polynesia.

The name is used by Radio Sydhavsøerne, the local radio station covering the area.
Saint Lucia at the 2024 Summer Olympics
Saint Lucia competed at the 2024 Summer Olympics in Paris from 26 July to 11 August 2024. It was the nation's eighth consecutive appearance at the Summer Olympics.

The Saint Lucia Olympic Committee appointed Helena Renee-Emmanuel as the nation's chef de mission for Paris 2024.

Julien Alfred won the nation's first Olympic medal in history, a gold in the women's 100 metres, with a new national record (10.72s). Alfred followed this win with a silver in the 200 metres three days later.

Julien Alfred
Julien Alfred (born 10 June 2001) is a Saint Lucian sprinter. She won the gold medal at the 2024 Summer Olympics in the 100 metres event, setting a new national record of 10.72s in the final. Her medal was the first-ever Olympic medal for Saint Lucia. She then won a silver in the 200 metres. Alfred also won the gold medal in the 60 metres at the 2024 World Athletics Indoor Championships.

Alfred was a silver medalist in the 100 metres at the 2022 Commonwealth Games. She is the joint North American indoor record holder for the 60 metres, and was the first woman in NCAA history to break the seven-second barrier over the 60 m. Alfred is a three-time individual NCAA Division I champion.
Gertrude Rhinelander Waldo
Gertrude Rhinelander Waldo (May 12, 1842 – May 27, 1914) was an American heiress known for commissioning the Rhinelander Mansion located in Manhattan at 867 Madison Avenue on the south-east corner of 72nd Street, designed in the 1890s by Kimball & Thompson and completed in 1898.  According to most sources, she never lived in the mansion, but chose to reside with her sister in a row house across the street from the mansion.

72nd Street (Manhattan)
72nd Street is one of the major bi-directional crosstown streets in New York City's borough of Manhattan. The street primarily runs through the Upper West Side and Upper East Side neighborhoods. It is one of the few streets to go through Central Park via Women's Gate, Terrace Drive, and Inventors Gate, though Terrace Drive is often closed to vehicular traffic.
Juana Díaz barrio-pueblo
Juana Díaz barrio-pueblo  is a barrio and the administrative center (seat) of Juana Díaz, a municipality of Puerto Rico. Its population in 2010 was 3,977.

As was customary in Spain, in Puerto Rico, the municipality has a barrio called pueblo which contains a central plaza, the municipal buildings (city hall), and a Catholic church. Fiestas patronales (patron saint festivals) are held in the central plaza every year.

Pueblos in Puerto Rico
Pueblo is a term primarily used in Puerto Rico to refer to the municipal district (barrio) that serves as the administrative, historic and cultural center of a municipality. The concept of pueblo is often used locally as analogous to the concept of downtown in U.S. cities. Pueblos are officially called barrio-pueblo by the United States Census since 1990.
Mendora mandal
Mendora is a mandal in Nizamabad district in the state of Telangana in India. Mendora is situated beside NH 7. There are 1306 houses in Mendora. It is located 54 km towards East from District headquarters Nizamabad.

National Highway 7 (India)
National Highway 7 (NH 7) is a highway connecting Fazilka (Punjab) to Mana (Uttarakhand) in India. It passes through the Indian states of Punjab, Haryana, Himachal Pradesh, and Uttarakhand.

The NH-7 (old NH-58) connects Hindu pilgrim centres of Rishikesh, Devprayag, Rudraprayag, Karnaprayag, Chamoli, Joshimath and Badrinath with Dehradun and Chandigarh. Pilgrims travelling to Sri Hemkunt Sahib take a diversion from Govindghat which lies on NH-7 between Joshimath and Badrinath.

The road is generally closed during the winter months of December, January, February and March in the upper reaches of the Himalayas through which National Highway 7 passes. This road goes to Mana Pass near the India-Tibetan border.
Garda Emergency Response Unit
The Emergency Response Unit (ERU) (Irish: Aonad Práinnfhreagartha) is the police tactical unit of the Garda Síochána, Ireland's national police and security service. The unit was a section of the forces' Special Detective Unit (SDU), under the Crime and Security Branch (CSB) until 2017, when the Special Tactics and Operational Command was created to take over its operational duties alongside Armed Support Units.

The Garda ERU provides the highest tier of firearms response to Irish law enforcement, specialising in weapons tactics, counter-terrorism, execution of high-risk missions, crisis negotiation, hostage rescue and close protection, among other roles. The unit was formed in 1977 as the "Special Task Force" to assist ordinary members of the force in extraordinary situations. The ERU regularly trains with the Irish Army Ranger Wing (ARW), the country's military special operations forces, sharing facilities and equipment.

Pepper spray
Pepper spray, oleoresin capsicum spray, OC spray, capsaicin spray, mace, or capsicum spray is a lachrymator (tear gas) product containing as its active ingredient the chemical compound capsaicin, which irritates the eyes with burning and pain sensations and so causes them to close, bringing temporary blindness. This blindness allows officers to more easily restrain subjects and permits people in danger to use pepper spray in self-defense for an opportunity to escape. It also causes temporary discomfort and burning of the lungs which causes shortness of breath. Pepper spray is used as a less lethal weapon in policing, riot control, crowd control, and self-defense, including defense against dogs and bears.

Pepper spray was engineered originally for defense against bears, cougars, wolves, and other dangerous predators, and is often referred to colloquially as bear spray.
2018 New York Film Festival
The 56th New York Film Festival took place from September 28 to October 14, 2018.

Appearing in the NYFF's "Main Slate" for the first time were: Louis Garrel, Ying Liang, Mariano Llinás, Alex Ross Perry, Ulrich Köhler, Bi Gan, Richard Billingham, Dominga Sotomayor Castillo and Paul Dano.

Mariano Llinás
Mariano Llinás is an Argentine film director, producer, screenwriter and actor. Llinás graduated from the Universidad del Cine de Argentina, where he currently works as a teacher. He is the son of writer, art critic, publicist and surrealist poet Julio Llinás and brother of renowned actress Verónica Llinás, who often appears in his films.
Mylopotamos, Mount Athos
Mylopotamos (Greek: Μυλοπόταμος) is a settlement in Mount Athos. It is located just to the northwest of the arsanas (harbor) of Filotheou Monastery. The seat of Mylopotamos is known as the kathisma of Agios Efstathios.

Mylopotamos, a dependency of the Monastery of Great Lavra, is known for its winery and vineyards.

In 1990, Father Epiphanios of Mylopotamos bought Mylopotamos area from the Monastery of Great Lavra for 2 million drachma, or about 6,000 euros. Epiphanios revived Mylopotamos, which was dilapidated when he arrived there in 1990, and made it well-known across the world as a center of Athonite cooking and gastronomy.

Kathisma
A kathisma (Greek: κάθισμα; Church Slavonic: каѳисма, kafisma), literally, "seat", is a division of the Psalter, used in the Eastern Orthodox and Byzantine Rite Catholic churches. The word may also describe a hymn sung at Matins, a seat used in monastic churches, or a type of monastic establishment.
Amalia Ulman
Amalia Ulman (born 1989) is an Argentine-Spanish artist and film director whose practice includes performance, installation, video and net-art works. Her work deals with issues of class, gender, sexuality, and middlebrow aesthetics. In 2021, Ulman made her feature film debut, with El Planeta.

Middlebrow
The term middlebrow describes middlebrow art, which is easily accessible art, usually popular literature, and middlebrow people who use the arts to acquire the social capital of "culture and class" and thus a good reputation. First used in the British satire magazine Punch in 1925, the term middlebrow is the intellectual, intermediary brow between the highbrow and the lowbrow forms of culture; the terms highbrow and lowbrow are borrowed from the pseudoscience of phrenology.
2016 Dubai Tennis Championships – Women's singles
Sara Errani defeated Barbora Strýcová in the final, 6–0, 6–2 to win the women's singles tennis title at the 2016 Dubai Tennis Championships.

Simona Halep was the defending champion, but lost to Ana Ivanovic in the second round.

This was the first time at either a WTA Tour or ATP Tour event that all seeded players lost their opening match.

Zheng Saisai
Zheng Saisai or Zheng Sai-Sai (Chinese: 郑赛赛; born 5 February 1994) is a Chinese tennis player. She has a best singles ranking of 34, achieved March 2020, and a career-high doubles ranking of No. world 15, achieved on 11 July 2016. In her career, she has won one singles title in 2019 (at the Premier event in Silicon Valley), and six doubles titles on the WTA Tour. She also reached the final of the 2019 French Open in doubles with compatriot Duan Yingying.

In addition, she won three singles and three doubles titles at WTA 125 tournaments, as well as twelve singles and nine doubles titles on the ITF Women's Circuit.

Playing for China Fed Cup team, Zheng has a win–loss record of 11–7 as of September 2024.
Fritillaria recurva
Fritillaria recurva, the scarlet fritillary, is a North American bulb-forming herbaceous perennial plant in the lily family Liliaceae. It is native to the western United States, from southwest Oregon down to northern California where it grows in the Klamath Mountains, Northern Coast Ranges, Cascade Range, and Sierra Nevada. Most of the known Californian locations are in the northern half of the state, as far south as Solano and El Dorado Counties, but there are isolated populations in Tulare and Mariposa Counties. The species has also been reported from Douglas and Washoe Counties in Nevada. It grows in dry, open woodlands and chaparral at 300–2,200 metres (980–7,220 ft), and it blooms in spring from February to July.

Solano County, California
Solano County (/səˈlɑːnoʊ/ ⓘ) is a county in the U.S. state of California. As of the 2020 census, its population was 453,491. The county seat is Fairfield.

Solano County comprises the Vallejo–Fairfield metropolitan statistical area, which is also included in the San Jose–San Francisco–Oakland, combined statistical area. Solano County is the northeastern county in the nine-county San Francisco Bay Area region.
Paratriathlon at the 2024 Summer Paralympics – Women's PTS5
The Paratriathlon at the 2024 Summer Paralympics – Women's PTS5 event at the 2024 Paralympic Games took place at 12:35 CET on 2 September 2024 at Pont Alexandre III, Paris. 10 athletes representing 8 nations competed.

Paratriathlon classification
Paratriathlon classification is the classification system for athletes participating in paratriathlon. It is governed by the World Triathlon (formerly known as ITU). The sport has been included in the 2016 Summer Paralympics.
Lorn Rocks
The Lorn Rocks (65°31′S 64°56′W﻿ / ﻿65.517°S 64.933°W﻿ / -65.517; -64.933) are a group of rocks lying 12 nautical miles (22 km) west of the north end of Lahille Island, in the Biscoe Islands of Antarctica. They were mapped by the Falkland Islands Dependencies Survey from photos taken by Hunting Aerosurveys Ltd in 1956–57, and were so named by the UK Antarctic Place-Names Committee because the rocks are small, forlorn and deserted.

Falkland Islands and Dependencies Aerial Survey Expedition
The Falkland Islands and Dependencies Aerial Survey Expedition (FIDASE) was an aerial survey of the Falkland Islands Dependencies and the Antarctic Peninsula which took place in the 1955–56 and 1956–57 southern summers.

Funded by the Colonial Office and organized by Peter Mott, the survey was carried out by Hunting Aerosurveys Ltd.  The expedition was based at Deception Island and utilized the Oluf Sven, two Canso flying-boats, and several helicopters.

The photographic collection, held by the British Antarctic Survey as the United Kingdom Antarctic Mapping Centre, comprises about 12,800 frames taken on 26,700 kilometers of ground track.
Vince Pazzetti
Vince Pazzetti (January 1, 1890 – August 3, 1972) was an American football player, graduating from Lehigh University in 1912.  He later went on to be the general manager of Bethlehem Steel's Bethlehem Plant.   He was elected to the College Football Hall of Fame in 1961.

Lehigh University
Lehigh University (LU) is a private research university in Bethlehem, Pennsylvania, United States. The university was established in 1865 by businessman Asa Packer. Lehigh University's undergraduate programs have been coeducational since the 1971–72 academic year. As of 2022, the university had 5,911 undergraduate students and 1,781 graduate students. The university is classified as "Doctoral Universities R1: Very High Research Activity".
Mosler MT900
The Mosler MT900 is a sports car built by the now-defunct American automotive manufacturer Mosler Automotive from 2001 to 2011.

Three submodels were produced. The MT900R was a racing version of the MT900. The basic car was updated as the MT900S for 2005, with the MT900S Photon being an optional performance package. The original MT900 was introduced in 2001 and the MT900S finished production in May 2011. Components for 25 MTs were produced as of January 2005, though only about 35 road cars and 50 racing versions have officially been completed (c.20 of which are MT900S). The MT900 was the replacement for the Mosler Raptor.

Car and Driver
Car and Driver (CD or C/D) is an American automotive enthusiast magazine first published in 1955. In 2006 its total circulation was 1.23 million. It is owned by Hearst Magazines, who purchased it from its prior owner Hachette Filipacchi Media U.S. in 2011. It was founded as Sports Cars Illustrated. The magazine is based in Ann Arbor, Michigan.
Mahapanya Vidayalai
Mahapanya Vidayalai (Thai: มหาปัญญาวิทยาลัย), translated roughly as a college of wisdom, is an international Buddhist school located in Hat Yai, Songkhla Province, Thailand. The college is affiliated with Mahachulalongkornrajavidyalaya University.

Founded by Oou Joo Heng, Supreme Patriarch of Anamikaya (the Vietnamese Mahayana Buddhist sect of Thailand) and with support of  the Theravada Sangha, the school was launched in 2002. It offers high school education as well as an international bachelor's degree program in Buddhist studies with a concentration in Mahayana Buddhism.

Songkhla province
Songkhla (Thai: สงขลา, pronounced [sǒŋ.kʰlǎː], Malay: Singgora) is one of the southern provinces (changwat) of Thailand. Neighboring provinces are (from west clockwise) Satun, Phatthalung, Nakhon Si Thammarat, Pattani, and Yala. To the south it borders Kedah and Perlis of Malaysia.

In contrast to most other provinces, the capital Songkhla is not the largest city in the province. The much newer city of Hat Yai, with a population of 359,813, is considerably larger, with twice the population of Songkhla (163,072). This often leads to the misconception that Hat Yai is the provincial capital.
Pinwheel Galaxy
The Pinwheel Galaxy (also known as Messier 101, M101 or NGC 5457) is a face-on, counterclockwise intermediate spiral galaxy located 21 million light-years (6.4 megaparsecs) from Earth in the constellation Ursa Major. It was discovered by Pierre Méchain in 1781 and was communicated that year to Charles Messier, who verified its position for inclusion in the Messier Catalogue as one of its final entries.

On February 28, 2006, NASA and the European Space Agency released a very detailed image of the Pinwheel Galaxy, which was the largest and most detailed image of a galaxy by Hubble Space Telescope at the time. The image was composed of 51 individual exposures, plus some extra ground-based photos.

Pierre Méchain
Pierre François André Méchain (French pronunciation: [pjɛʁ fʁɑ̃swa ɑ̃dʁe meʃɛ̃]; 16 August 1744 – 20 September 1804) was a French astronomer and surveyor who, with Charles Messier, was a major contributor to the early study of deep-sky objects and comets.
Abidjan Ivory Coast Temple
The Abidjan Ivory Coast Temple is a temple of the Church of Jesus Christ of Latter-day Saints in Abidjan, Ivory Coast. The intent to construct the temple was announced by church president Thomas S. Monson on April 5, 2015, during general conference. It was announced concurrently with the Bangkok Thailand and Port-au-Prince Haiti temples. It is the first temple in Ivory Coast and the seventh on the African continent.

The temple was designed by FFKR Architects, using a Mid-Century Modern architectural style. A groundbreaking ceremony, to signify the beginning of construction, was held on November 8, 2018, conducted by Neil L. Andersen of the Quorum of the Twelve Apostles.

Neil L. Andersen
Neil Linden Andersen (born August 9, 1951) is an American religious leader and former business executive who serves as a member of the Quorum of the Twelve Apostles of the Church of Jesus Christ of Latter-day Saints (LDS Church). He was sustained by church membership as an apostle on April 4, 2009, during the church's General Conference. At the time of his call to the Twelve, Andersen had been serving as an LDS general authority since 1993, including service in the Presidency of the Seventy from 2005 to 2009. Currently, he is the seventh most senior apostle in the church.
Greya obscuromaculata
Greya obscuromaculata is a moth of the family Prodoxidae. In North America it is found in southern British Columbia, Alberta, Washington, Idaho and Montana. The habitat consists of moist coniferous forests.

The wingspan is 13–17 mm.

The larvae possibly feed on Osmorhiza chilensis and/or Tiarella trifoliata.

Tiarella trifoliata
Tiarella trifoliata, the three-leaf foamflower, is a species of flowering plant in the family Saxifragaceae. The specific name trifoliata means "having three leaflets", a characteristic of two of the three recognized varieties. Also known as the laceflower or sugar-scoop, the species is found in shaded, moist woods in western North America.
Frobenius's theorem (group theory)
In mathematics, specifically group theory, Frobenius's theorem states that if  divides the order of a finite group , then the number of solutions of  in  is a multiple of . It was introduced by Frobenius (1903).

Divisor
In mathematics, a divisor of an integer  also called a factor of  is an integer  that may be multiplied by some integer to produce  In this case, one also says that  is a multiple of  An integer  is divisible or evenly divisible by another integer  if  is a divisor of ; this implies dividing  by  leaves no remainder.
Kinelsky (rural locality)
Kinelsky (Russian: Кинельский; masculine), Kinelskaya (Кинельская; feminine), or Kinelskoye (Кинельское; neuter) is the name of several rural localities in Russia:

Kinelsky, Orenburg Oblast, a settlement in Kinelsky Selsoviet of Matveyevsky District of Orenburg Oblast

Kinelsky, Samara Oblast, a settlement in Kinelsky District of Samara Oblast

Kinelsky District
Kinelsky District (Russian: Кине́льский райо́н) is an administrative and municipal district (raion), one of the twenty-seven in Samara Oblast, Russia. It is located in the center of the oblast. The area of the district is 2,103.7 square kilometers (812.2 sq mi). Its administrative center is the town of Kinel (which is not administratively a part of the district). Population: 33,258 (2010 Census);  30,484 (2002 Census); 31,000 (1989 Soviet census).
Carnaval de Ponce
The Carnaval de Ponce (English: Ponce Carnival), officially Carnaval Ponceño, is an annual celebration of the Carnival holiday held in Ponce, Puerto Rico. The celebration lasts one week,  and like most observations of the holiday ends on Fat Tuesday (Mardi Gras Day, the day before Ash Wednesday). Thus, like the Carnival holiday in general, it is usually held in February and or March. It dates back to 1858. Some authorities, such as the Smithsonian Institution, believe the Ponce Carnaval can be traced to as far back as 250 years ago. The Carnaval coincides with the Mardi Gras of New Orleans, the Carnival of Venice, and Rio de Janeiro's Carnival and hundreds of other places that observe this holiday around the world. The estimated attendance is 100,000. Scenes of the 2011 Carnaval Ponceño were featured in the Travel Channel on 7 August 2011.

Carnival of Venice
The Carnival of Venice (Italian: Carnevale di Venezia; Venetian: Carnaval de Venessia) is an annual festival held in Venice, Italy, famous for its elaborate costumes and masks. The Carnival ends on Shrove Tuesday (Martedì Grasso or Mardi Gras), which is the day before the start of Lent on Ash Wednesday.

The Carnival traces its origins to the Middle Ages, existing for several centuries until it was abolished in 1797. The tradition was revived in 1979, and the modern event now attracts approximately 3 million visitors annually.