hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Closure (mathematics)
In mathematics, a subset of a larger set is closed under a given operation on the larger set if performing that operation on members of the subset always produces a member of that subset. For example, the natural numbers are closed under addition, but not under subtraction: 1 − 2 is not a natural number, although both 1 and 2 are.

Similarly, a subset is said to be closed under a collection of operations if it is closed under each of the operations individually.

The closure of a subset is the result of a closure operator applied to the subset. The closure of a subset under some operations is the smallest superset that is closed under these operations. It is often called the span (for example linear span) or the generated set.

Intersection (set theory)
In set theory, the intersection of two sets  and  denoted by  is the set containing all elements of  that also belong to  or equivalently, all elements of  that also belong to  The notion of intersection as an algebraic operation with sets as operands has been generalized from geometry, where it is encountered in the case of geometric sets of points, such as individual points, lines (infinite uncountable sets of points), planes, etc.
Armenian language
Armenian (endonym: հայերեն, hayeren, pronounced [hɑjɛˈɾɛn] ⓘ) is the sole member of an independent branch in the Indo-European language family. It is the native language of the Armenian people and the official language of Armenia. Historically spoken in the Armenian highlands, today Armenian is also widely spoken throughout the Armenian diaspora. Armenian is written in its own writing system, the Armenian alphabet, introduced in 405 AD by Mesrop Mashtots. The estimated number of Armenian speakers worldwide is between five and seven million.

Zakarid dynasty
The Zakarid dynasty, also Zakarids or Zakarians (Armenian: Զաքարյաններ, romanized: Zak'aryanner) were an Armenian noble dynasty, rulers of Zakarid Armenia (1201–1350) under the suzerainty of the Kingdom of Georgia, and from 1256 under the control of the Mongol Ilkhanate of Persia. Their dynastic name was formed in honour of Zakare, the famous servant of the Georgian King Tamar. They were also known by their Georgian nickname Mkhargrdzeli (მხარგრძელი, "Long-armed", in Armenian: Երկայնաբազուկ, Yerkaynbazuk). The Zakarians considered themselves Armenians.

During the 13th century, the Zakarids held the highest offices in the Georgian court, as Atabegs (Governor General) and Amirspasalars (Commander-in-Chief of the Army) of the Kingdom of Georgia.
Chonmage
The chonmage (丁髷) is a type of traditional Japanese topknot haircut worn by men. It is most commonly associated with the Edo period (1603–1868) and samurai, and in recent times with sumo wrestlers. It was originally a method of using hair to hold a samurai kabuto helmet steady atop the head in battle, and became a status symbol among Japanese society.

In a traditional Edo-period chonmage, the top of the head is shaved. The remaining hair was oiled and waxed before being tied into a small tail folded onto the top of the head in the characteristic topknot.

Professional sumo divisions
Professional sumo as administered by the Japanese Sumo Association is divided into six ranked divisions. Wrestlers are promoted and demoted within and between these divisions based on the merit of their win–loss records in official tournaments. For more information, see kachi-koshi and make-koshi. Wrestlers are also ranked within each division. The higher a wrestler's rank within a division is, the general level of opponents he will have to face becomes stronger. According to tradition, each rank is further subdivided into East and West, with East being slightly more prestigious, and ranked slightly higher than its West counterpart. The divisions, ranked in order of hierarchy from highest to lowest, are as follows:
1932 Summer Olympics
The 1932 Summer Olympics (officially the Games of the X Olympiad and also known as Los Angeles 1932) were an international multi-sport event held from July 30 to August 14, 1932, in Los Angeles, California, United States. The Games were held during the worldwide Great Depression, with some nations not traveling to Los Angeles as a result; 37 countries competed, compared to the 46 at the 1928 Games in Amsterdam, and even then-U.S. President Herbert Hoover did not attend the Games. The organizing committee did not report the financial details of the Games, although contemporary newspapers stated that the Games had made a profit of US$1 million (equivalent to US$18.67 million in 2024).

Athletics at the 1932 Summer Olympics – Men's 1500 metres
The men's 1500 metres middle-distance event at the 1932 Summer Olympics took place on August 3 and August 4 at the Los Angeles Memorial Coliseum. Twenty-four athletes from 14 nations competed. The 1930 Olympic Congress in Berlin had reduced the limit from 4 athletes per NOC to 3 athletes. The event was won by Luigi Beccali of Italy, earning the nation's first medal in the 1500 metres. Canada also won its first 1500 metres medal, with Phil Edwards's bronze.
Shinano Province
Shinano Province (信濃国, Shinano no Kuni, Japanese pronunciation: [ɕiꜜ.na.no (no kɯ.ɲi), ɕi.na.noꜜ-]) or Shinshū (信州, [ɕiꜜɰ̃.ɕɯː]) is an old province of Japan that is now Nagano Prefecture.

Shinano bordered Echigo, Etchū, Hida, Kai, Kōzuke, Mikawa, Mino, Musashi, Suruga, and Tōtōmi Provinces. The ancient capital was located near modern-day Matsumoto, which became an important city of the province.

The World War II-era Japanese aircraft carrier Shinano was named after this old province.

Uesugi clan
The Uesugi clan (上杉氏, Uesugi-shi, historically also Uyesugi) is a Japanese samurai clan which was at its peak one of the most powerful during the Muromachi and Sengoku periods (14th to 17th centuries). At its height, the clan had three main branches: the Ōgigayatsu, Inukake, and Yamanouchi. Its most well-known member is the warlord Uesugi Kenshin (1530–1578).

During the Edo period, the Uesugi were a tozama or outsider clan, in contrast with the fudai or insider daimyō clans which had been hereditary vassals or allies of the Tokugawa clan.
Ted Drake
Edward Joseph Drake (16 August 1912 – 30 May 1995) was an English football player and manager. As a player, he first played for Southampton but made his name playing for Arsenal in the 1930s, winning two league titles and an FA Cup, as well as five caps for England. Drake is Arsenal's joint fifth highest goalscorer of all time. He also holds the record for the most goals scored in a top flight game in English football, with seven against Aston Villa in December 1935. A former centre forward, Drake has been described as a "classic number 9" and as a "strong, powerful, brave and almost entirely unthinking" player who "typified the English view."

After retiring from playing football, Drake became a manager, most notably of Chelsea. In 1955, he led the club to their first league title. This made him the first person to win the English top-flight as both a player and a manager. He was also a cricketer, but only ever played sparingly for Hampshire.

Cliff Bastin
Clifford Sydney Bastin (14 March 1912 – 4 December 1991) was an English footballer who played as a winger for Exeter City and Arsenal. He also played for the England national team. Bastin is Arsenal's third-highest goalscorer of all time.
Serhii Vasylkivsky
Serhii Ivanovych Vasylkivsky (Ukrainian: Сергій Іванович Васильківський, pronounced [serˈɦij wɐsɪlʲˈkiu̯sʲkɪj]; Russian: Серге́й Иванович Васильковский; October 19, 1854 — October 7, 1917) was one of the most prolific Ukrainian artists of the pre-revolutionary period and an expert on Ukrainian ornamentation and folk art.

Nikolay Samokish
Nikolay Semyonovich Samokish (Russian: Николай Семёнович Самокиш; Ukrainian: Микола Семенович Самокиш, romanized: Mykola Semenovych Samokysh; 25 October 1860, Nezhin, Government of Chernigov, Russian Empire – 18 January 1944, Simferopol, Russian SFSR, USSR) was a Ukrainian and Soviet painter and illustrator of Ukrainian Cossack descent who specialized in military art and animal painting. During the First World War Samokish was a correspondent for The Russian Sun, one of the most popular patriotic journals in Imperial Russia. He was a recipient of the Stalin Prize in 1941.

Samokish is also known as the second husband of the book illustrator Elena Sudkovskaya, with whom he often collaborated.
Trabzon
Trabzon is a city on the Black Sea coast of northeastern Turkey and the capital of Trabzon Province. Historically known as Trebizond, the city was founded in 756 BC as Trapezous by Greek colonists from Miletus. It was added into the Achaemenid Empire by Cyrus the Great and was later part of the independent Kingdom of Pontus that challenged Rome until 68 BC. Thenceforth part of the Roman and later Byzantine Empire, the city was the capital of the Empire of Trebizond, one of the successor states of the Byzantine Empire after the Fourth Crusade in 1204. In 1461 it came under Ottoman rule.

During the early modern period, Trabzon, because of the importance of its port, again became a focal point of trade to Persia and the Caucasus. Today Trabzon is the second largest city and port on the Black Sea coast of Turkey with a population of almost 300,000. The urban population of the city is 330,836 (Ortahisar), with a metropolitan population of 822,270. Trabzon has 18 districts in total.

Bayburt
Bayburt is a city in northeast Turkey lying on the Çoruh River. It is the seat of Bayburt Province and Bayburt District. Its population is 48,036 (2021).

Bayburt was once an important center on the ancient Silk Road. It was visited by Marco Polo in the 13th century, and also by Evliya Çelebi in the 16th century. Remains of its medieval castle still exist. There are several historical mosques, Turkish baths, and tombs in the city. There are also ancient historical sites such as the Çatalçeşme Underground Complex and natural wonders like the Sirakayalar Waterfall in the other parts of the province.
AP Environmental Science
Advanced Placement (AP) Environmental Science (also known as APES, AP Enviro, AP Environmental, AP Environment, or AP EnviroSci) is a course and exam offered by the American College Board as part of the Advanced Placement Program to high school students interested in the environmental and natural sciences. AP Environmental Science was first offered in the 1997–1998 school year.

AP Capstone
AP Capstone, officially known as the Advanced Placement Capstone Diploma Program, is a two-year program for high school students in the United States and Canada, developed by the College Board. It consists of two courses: the AP Seminar and AP Research. Students who successfully complete the program and obtain scores of 3 or higher on at least four other AP exams receive either an AP Capstone Diploma or an AP Seminar and Research Certificate.
Typha
Typha /ˈtaɪfə/ is a genus of about 30 species of monocotyledonous flowering plants in the family Typhaceae. These plants have a variety of common names, in British English bulrush or (mainly historically) reedmace, in American English cattail or punks, in Australia cumbungi or bulrush, in Canada bulrush or cattail, and in New Zealand raupō, bullrush, cattail, or reed.

The genus is largely distributed in the Northern Hemisphere, where it is found in a variety of wetland habitats. Although they can accumulate toxins in polluted areas, many parts of the plant are edible, including the starchy rhizomes.

Potamogeton
Potamogeton is a genus of aquatic, mostly freshwater, plants of the family Potamogetonaceae. Most are known by the common name pondweed, although many unrelated plants may be called pondweed, such as Canadian pondweed (Elodea canadensis). The genus name means "river neighbor", originating from the Greek potamos (river) and geiton (neighbor).
Łódź Voivodeship
Łódź Voivodeship (Polish: województwo łódzkie [vɔjɛˈvut͡stfɔ ˈwut͡skʲɛ] ⓘ) is a voivodeship (province) of Poland. The province is named after its capital and largest city, Łódź (pronounced [wut͡ɕ]).

Łódź Voivodeship is bordered by six other voivodeships: Masovian to the north and east, Świętokrzyskie to the south-east, Silesian to the south, Opole to the south-west, Greater Poland to the west, and Kuyavian-Pomeranian for a short stretch to the north. Its territory belongs to three historical provinces of Poland – Masovia (in the east), Greater Poland (in the west) and Lesser Poland (in the southeast, around Opoczno).

Gmina Nowa Brzeźnica
Gmina Nowa Brzeźnica is a rural gmina (administrative district) in Pajęczno County, Łódź Voivodeship, in central Poland. Its seat is the village of Nowa Brzeźnica, which lies approximately 15 kilometres (9 mi) south-east of Pajęczno and 81 km (50 mi) south of the regional capital Łódź.

The gmina covers an area of 135.95 square kilometres (52.5 sq mi), and as of 2006 its total population is 5,031.
Populus
Populus is a genus of 25–30 species of deciduous flowering plants in the family Salicaceae, native to most of the Northern Hemisphere. English names variously applied to different species include poplar (/ˈpɒplər/ ⓘ), aspen, and cottonwood.

The western balsam poplar (P. trichocarpa) was the first tree to have its full DNA code determined by DNA sequencing, in 2006.

Aesculus hippocastanum
Aesculus hippocastanum, the horse chestnut, is a species of flowering plant in the maple, soapberry and lychee family Sapindaceae. It is a large, deciduous, synoecious (hermaphroditic-flowered) tree. It is also called horse-chestnut, European horsechestnut, buckeye, and conker tree. It is not to be confused with the sweet chestnut or Spanish chestnut, Castanea sativa, which is a tree in another family, Fagaceae.: 371
Sextus Pompey
Sextus Pompeius Magnus Pius (c. 67 – 35 BC), also known in English as Sextus Pompey, was a Roman military leader who, throughout his life, upheld the cause of his father, Pompey the Great, against Julius Caesar and his supporters during the last civil wars of the Roman Republic.

Sextus Pompey formed the last organized opposition to the Second Triumvirate, in defiance of which he succeeded in establishing an independent state in Sicily for several years.

Hispania
Hispania was the Roman name for the Iberian Peninsula. Under the Roman Republic, it was divided into two provinces: Hispania Citerior and Hispania Ulterior. During the Roman Empire, under the Principate, Hispania Ulterior was subdivided into Baetica and Lusitania, while Hispania Citerior was reorganized as Hispania Tarraconensis.

Beginning with Diocletian’s Tetrarchy (AD 293), the territory of Tarraconensis was further divided to create the provinces of Carthaginensis and Gallaecia (also called Callaecia, the origin of the name of modern Galicia). All the Hispanic provinces on the mainland, together with the Balearic Islands and the North African province of Mauretania Tingitana, were later organized into the Diocesis Hispaniarum, governed by a vicarius.

The name Hispania was also used in the period of Visigothic rule. The modern place names of Spain and Hispaniola are both derived from Hispania.
Vesper mouse
Vesper mice are rodents belonging to the genus Calomys. They are widely distributed in South America. Some species are notable as the vectors of Argentinian hemorrhagic fever and Bolivian hemorrhagic fever.

The genus was originally named Hesperomys, but was changed to Calomys in 1962.

Abrothrix
Abrothrix is a genus of rodent in the tribe Abrotrichini of family Cricetidae.
It contains the following living species:

Abrothrix andina

Abrothrix hershkovitzi

Abrothrix hirta

Abrothrix illutea

Abrothrix jelskii

Abrothrix lanosa

Abrothrix longipilis

Abrothrix manni

Abrothrix olivacea

Abrothrix sanborni

Abrothrix xanthorhina
Acton and Willesden R.L.F.C.
Acton and Willesden RLFC was a professional rugby league team based at Acton Park Royal in London. Along with Streatham and Mitcham R.L.F.C., the club was an early attempt to establish rugby league in London during the 1930s.

The club was discontinued after the 1935-36 season.

Newcastle RLFC
Newcastle was a semi-professional rugby league club based in Newcastle upon Tyne in North East England.

The club played semi-professional rugby league for two seasons, 1936–37 and 1937–38, possibly joining direct from non-league. They left the league at the end of season 1937–38.
Eric Wynalda
Eric Boswell Wynalda (born June 9, 1969) is an American soccer coach, television commentator, and former player. He was formerly an analyst and color commentator for soccer coverage on Fox Sports 1 and ESPN. Previously, he served as head coach and technical director of Las Vegas Lights FC in the USL Championship and he is the host of WTF: Wynalda Talks Football on SiriusXM FC.

Wynalda was one of the first Americans to play professionally in Europe before returning to his home country in 1996 to play in Major League Soccer and scoring the first goal in the league's history. Until 2008, he was the all-time leading goal scorer for the United States national team. Wynalda was described as a "shifty, dynamic player off the dribble with a heavy shot." He was also known for his fiery play, and earned the nickname, "Eric the Red Card." He was elected to the National Soccer Hall of Fame in 2004.

JP Dellacamera
John Paul "JP" Dellacamera (born January 11, 1952) is an American play-by-play sportscaster primarily for Major League Soccer with the Philadelphia Union, as well as major soccer tournaments and ice hockey.
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers (IEEE) is an American 501(c)(3) charitable professional organization for electrical engineering, electronics engineering, and related disciplines. Today, it is a global network of more than 486,000 engineering and STEM professionals across a variety of disciplines whose core purpose is to foster technological innovation for the benefit of humanity.

The IEEE has a corporate office in New York City and an operations center in Piscataway, New Jersey. The IEEE was formed in 1963 as an amalgamation of the American Institute of Electrical Engineers and the Institute of Radio Engineers.

American Association for the Advancement of Science
The American Association for the Advancement of Science (AAAS) is a United States–based international nonprofit with the stated mission of promoting cooperation among scientists, defending scientific freedom, encouraging scientific responsibility, and supporting scientific education and science outreach for the betterment of all humanity. AAAS was the first permanent organization established to promote science and engineering nationally and to represent the interests of American researchers from across all scientific fields. It is the world's largest general scientific society, with over 120,000 members, and is the publisher of the well-known scientific journal Science.
Pear
Pears are fruits produced and consumed around the world, growing on a tree and are harvested in late summer into mid-autumn. The pear tree and shrub are a species of genus Pyrus /ˈpaɪrəs/, in the family Rosaceae, bearing the pomaceous fruit of the same name. Several species of pears are valued for their edible fruit and juices, while others are cultivated as trees.

The tree is medium-sized and native to coastal and mildly temperate regions of Europe, North Africa, and Asia. Pear wood is one of the preferred materials in the manufacture of high-quality woodwind instruments and furniture.

About 3,000 known varieties of pears are grown worldwide, which vary in both shape and taste. The fruit is consumed fresh, canned, as juice, dried, or fermented as perry.

Malus sylvestris
Malus sylvestris, the European crab apple, also known as the European wild apple or simply the crab apple, is a species of the genus Malus. Its scientific name means "forest apple", reflecting its habitat. It is native to western Eurasia.
Chiang Rai province
Chiang Rai (Thai: เชียงราย, pronounced [tɕʰīaŋ rāːj]; Northern Thai: ᨩ᩠ᨿᨦᩁᩣ᩠ᨿ, pronounced [tɕīaŋ hāːj])  is one of Thailand's seventy-six provinces that lies in upper northern Thailand and is Thailand's northernmost province. It is bordered by the Shan State of Myanmar to the north, Bokeo province of Laos to the east, Phayao to the south, Lampang to the southwest, and Chiang Mai to the west. The province is linked to Houayxay, Laos by the Fourth Thai–Lao Friendship Bridge that spans the Mekong.

Phrae province
Phrae (Thai: แพร่, pronounced [pʰrɛ̂ː]; Northern Thai:  ᨻᩯᩖ᩵, pronounced [pɛ̂ː]) is one of Thailand's seventy-six Provinces (changwat) and lies in upper northern Thailand. Neighboring provinces are (clockwise from north) Phayao, Nan, Uttaradit, Sukhothai, and Lampang.
Edmondson Park railway station
Edmondson Park railway station is a suburban railway station located on the South West Rail Link, serving the Sydney suburb of Edmondson Park in the Liverpool Local Government Area. It is served by Sydney Trains T2 Leppington & Inner West Line and T5 Cumberland Line services.

Leppington railway station
Leppington railway station is the terminus of the South West Rail Link which serves the south-western Sydney suburb of Leppington. It opened on 8 February 2015. A ten road stabling facility is located to the west of the station at Rossmore. It is serviced by Sydney Trains' T2 Leppington & Inner West Line and T5 Cumberland Line services.
Caspar Frederik Harsdorff
Caspar Frederik (Friedrich) Harsdorff (26 May 1735 – 24 May 1799), also known as C.F. Harsdorff, was a Danish neoclassical architect considered to have been the leading Danish architect in the late 18th century.

Andreas Hallander
Andreas Hallander (13 November 1755 – 3 April 1828) was a Danish master carpenter and architect who made a significant contribution to the city of Copenhagen. Together with the buildings of Johan Martin Quist, his classically styled apartment houses form part of the legacy of 19th-century Danish Golden Age architects who reconstructed areas of the old town which had been destroyed in the Great Fire of 1795.
Sabiaceae
Sabiaceae is a family of flowering plants that were placed in the order Proteales according to the APG IV system. It comprises three genera, Meliosma, Ophiocaryon and Sabia, with 66 known species, native to tropical to warm temperate regions of southern Asia and the Americas. The family has also been called Meliosmaceae Endl., 1841, nom. rej.

Trochodendraceae
Trochodendraceae is the only family of flowering plants in the order Trochodendrales.  It comprises two extant genera, each with a single species along with up to five additional extinct genera and a number of extinct species.  The living species are native to south east Asia.  The two living species (Tetracentron sinense and Trochodendron aralioides) both have secondary xylem without vessel elements, which is quite rare in angiosperms. As the vessel-free wood suggests primitiveness, these two species have attracted much taxonomic attention.
Pakistan Football Federation
The Pakistan Football Federation (PFF) is the national governing body of association football in Pakistan. It is a member of FIFA, the international governing body of football, and affiliated to the Asian Football Confederation and South Asian Football Federation. The federation was founded in 1947; it also manages the futsal and beach soccer national teams.

Pakistan women's national football team
The Pakistan women's national football team is the female representative in international women's football for Pakistan. The team was formed in 2010 and has not yet qualified for the AFC Women's Asian Cup or the FIFA Women's World Cup, but has competed in five editions of the biennial SAFF Women's Championship.

Its under-19 and under-16 teams have competed in the qualification rounds of the 2019 AFC U-19 Women's Championship and 2019 AFC U-16 Women's Championship, respectively.