hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Tensor–hom adjunction
In mathematics, the tensor-hom adjunction is the statement that the tensor product  and hom-functor  form an adjoint pair:

This is made more precise below.  The order of terms in the phrase "tensor-hom adjunction" reflects their relationship: tensor is the left adjoint, while hom is the right adjoint.

Natural transformation
In category theory, a branch of mathematics, a natural transformation provides a way of transforming one functor into another while respecting the internal structure (i.e., the composition of morphisms) of the categories involved. Hence, a natural transformation can be considered to be a "morphism of functors". Informally, the notion of a natural transformation states that a particular map between functors can be done consistently over an entire category.

Indeed, this intuition can be formalized to define so-called functor categories. Natural transformations are, after categories and functors, one of the most fundamental notions of category theory and consequently appear in the majority of its applications.
Divisiones Regionales de Fútbol
The Divisiones Regionales de Fútbol (Regional Football Divisions) are the Spanish football regional divisions. They are administered by the Autonomous football federations. The level immediately above (in the fifth tier) is the Tercera División RFEF. The autonomous regional divisions include:

Tercera Federación
Tercera Federación, previously known as Tercera RFEF, is the fifth tier of the Spanish football league system. It is below the La Liga, Segunda División, and its fellow semi-professional divisions Primera Federación and Segunda Federación. It was founded in 1929 as the third tier, and dropped down to the fourth and fifth tiers in 1977 and 2021, respectively.
Asen's Fortress
Asen's Fortress (Bulgarian: Асенова крепост, romanized: Asenova krepost), identified by some researchers as Petrich (Петрич), is a medieval fortress in the Bulgarian Rhodope Mountains, 2 to 3 kilometres (1.2 to 1.9 mi) south of the town of Asenovgrad, on a high rocky ridge on the left bank of the Asenitsa River. Asen's Fortress is 279 metres (915 ft) above sea level.

Rhodope Mountains
The Rhodopes (/ˈrɒdəpiːz/; Bulgarian: Родопи, Rodopi; Greek: Ροδόπη, Rodopi; Turkish: Rodoplar) are a mountain range in Southeastern Europe, and the largest by area in Bulgaria, with over 83% of its area in the southern part of the country and the remainder in Greece. Golyam Perelik is its highest peak at 2,191 meters (7,188 ft). The mountain range gives its name to the terrestrial ecoregion Rodope montane mixed forests that belongs in the temperate broadleaf and mixed forests biome and the Palearctic realm. The region is particularly notable for its karst areas with their deep river gorges, large caves and specific sculptured forms, such as the Trigrad Gorge.

A significant part of Bulgaria's hydropower resources are located in the western areas of the range. There are a number of hydro-cascades and dams used for electricity production, irrigation, and as tourist destinations.
1962 Air Force Falcons football team
The 1962 Air Force Falcons Football Team represented the United States Air Force Academy as an independent during the 1962 NCAA University Division football season. They were led by fifth-year head coach Ben Martin, and played their home games at the new Falcon Stadium in Colorado Springs, Colorado, opening with a 34–0 win over Colorado State. The Falcons compiled a record 5–5 and outscored their opponents 173–171.

The $3.5 million stadium was formally dedicated on October 20 against Oregon, which included a flyover by the Thunderbirds. This was during the early stages of the Cuban Missile Crisis, which was disclosed to the nation by President John F. Kennedy two days later on Monday.

1962 Colorado State Rams football team
The 1962 Colorado State Rams football team represented Colorado State University as an independent during the 1962 NCAA University Division football season.  In their first season under head coach Mike Lude, the Rams lost all ten games and were outscored 269 to 66. The winless season extended the program's losing streak to 26 games, dating back to October 1960. The streak was broken with a win in the 1963 season opener.

The team's statistical leaders included John Christensen with 562 passing yards, Phil Jackson with 314 rushing yards, and John Swanson with 160 receiving yards.

The Rams opened the season at Air Force in the inaugural game at the new Falcon Stadium.
Disa forcipata
Disa forcipata was a perennial plant and geophyte belonging to the genus Disa and was part of the fynbos. The plant was endemic to the Western Cape and occurred at Knysna. The plant is considered extinct. One species of the plant was discovered in the Knysna area in 1870. The plant was never seen again after that.

Disa (plant)
Disa is a genus of flowering plants in the family Orchidaceae. It comprises about 182 species. Most of the species are indigenous to tropical and southern Africa, with a few more in the Arabian Peninsula, Madagascar, and Réunion. Disa bracteata is naturalised in Western Australia, where the local name is "African weed-orchid."

The genus Disa was named by P.J. Bergius in 1767. It was named after Disa, the heroine of a Swedish legend.
Jevrem Nenadović
Jevrem Nenadović (Serbian Cyrillic: Јеврем Ненадовић; 27 September 1793 – 6 April 1867) was a Serbian voivode and politician. He was the President of the Court in Valjevo, and State Counselor in Belgrade.

Persida Nenadović
Persida Karađorđević née Nenadović (Serbian Cyrillic: Персида Ненадовић; 15 February 1813 – 29 March 1873) was the Princess of Serbia as the wife of Alexander Karađorđević, who ruled the Principality of Serbia from his election on 14 September 1842 until his abdication on 24 October 1858. She was the mother of ten children, including future king Peter I of Serbia, who succeeded to the throne after the assassination of King Alexander I, the last ruler of the Obrenović dynasty (the traditional rivals of the Karađorđevićs).
Ground-effect train
A ground-effect train is a conceptualized alternative to a magnetic levitation (maglev) train. In both cases the objective is to prevent the vehicle from making contact with the ground. Whereas a maglev train accomplishes this through the use of magnetism, a ground-effect train uses an air cushion; either in the manner of a hovercraft (as in hovertrains) or using the wing–in–ground-effect design.

Ground-effect vehicle
A ground-effect vehicle (GEV), also called a wing-in-ground-effect (WIGE or WIG), ground-effect craft/machine (GEM), wingship, flarecraft, surface effect vehicle or ekranoplan (Russian: экранопла́н – "screenglider"), is a vehicle that makes use of the ground effect, the aerodynamic interaction between a moving wing and the stationary surface below (land or water). Typically, it glides over a level surface (usually over water). Some models can operate over any flat area such as a lake or flat plains similar to a hovercraft. The term Ground-Effect Vehicle originally referred to any craft utilizing ground effect, including what later became known as hovercraft, in patent descriptions during the 1950s. However, this term came to exclude air-cushion vehicles or hovercraft. GEVs do not include racecars utilizing ground-effect for increasing downforce.
Lazare Kaplan International
Lazare Kaplan International (LKI) is a diamond manufacturing and distribution company based in New York City. The Chairman of the Board of Directors was Maurice Tempelsman. The first LKI was located in Ponce, Puerto Rico, at el Barrio de los Diamantes, a community named after the factory was located there. LKI was founded in 1903 where it operated until it was moved to Caguas, Puerto Rico in the 1970s.

Maurice Tempelsman
Maurice Tempelsman (August 26, 1929 – August 23, 2025) was a Belgian-American businessman, diamond magnate and merchant. He was the longtime companion of Jacqueline Kennedy Onassis, the 35th First Lady of the United States.
Pierre Mauroy
Pierre Mauroy (French: [pjɛʁ moʁwa]; 5 July 1928 – 7 June 2013) was a French politician who was Prime Minister of France from 1981 to 1984 under President François Mitterrand. Mauroy also served as Mayor of Lille from 1973 to 2001 and President of the Socialist International from 1992 to 1999. At the time of his death, Mauroy was the emeritus mayor of the city of Lille.

Charles Hernu
Eugène Charles Hernu (French pronunciation: [ʃaʁl ɛʁny]; 3 July 1923 – 17 January 1990) was a French Socialist politician. He served as Minister of Defence from 1981 to 1985, when he was forced to resign over the bombing of the Greenpeace ship Rainbow Warrior in New Zealand.
Drum Tower and Bell Tower of Beijing
The Drum Tower of Beijing, or Gulou (traditional Chinese: 鼓樓; simplified Chinese: 鼓楼; pinyin: Gǔlóu), is situated at the northern end of the central axis of the Inner City to the north of Di'anmen Street. Originally built for musical reasons, it was later used to announce the time and is now a tourist attraction.

The Bell Tower of Beijing, or Zhonglou (traditional Chinese: 鐘樓; simplified Chinese: 钟楼; pinyin: Zhōnglóu), stands closely behind the drum tower. Together, the Bell Tower and Drum Tower have panoramic views over central Beijing. Before the modern era, both towers dominated the Beijing skyline.

Drum tower (Asia)
A drum tower (Chinese: 鼓楼; pinyin: gǔlóu) or gulou is a tower in the center of an old Asian city or village, mainly China, housing signal drums. There was usually also a bell tower nearby.

They were once found all over China in villages, marking the symbolic center of the settlement and used to mark nightfall and to summon the people for civic ceremonies and significant occasions, such as Chinese New Year.

The drum tower often being located in the symbolic center of a city, downtown districts of several Chinese cities have been named after the tower.
Vincent Mensah
Vincent Mensah (19 July 1924 – 10 March 2010) was the Catholic bishop of the Diocese of Porto Novo, Benin.

Ordained to the priesthood on 21 December 1952, Mensah was appointed bishop of the Porto Novo Diocese on 21 September 1970 and was ordained on 14 December 1970, retiring on 29 January 2000.

Diocese of Porto-Novo
The Diocese of Porto-Novo (Latin: Dioecesis Portus Novi) is a Roman Catholic diocese located in the city of Porto-Novo in the ecclesiastical province of Cotonou in Benin.

Caritas Porto-Novo is the social arm of the diocese.
Paul Bradley (fighter)
Paul Bradley (born June 13, 1983) is a retired American mixed martial artist who competed mostly in the Welterweight division. A professional competitor since 2006, Bradley has also fought in the Bellator MMA, UFC, Strikeforce, Shark Fights, King of the Cage, PFL, and was a contestant on The Ultimate Fighter: Team Rampage vs. Team Forrest.

2014 in Bellator MMA
2014 in Bellator MMA was the tenth season for Bellator MMA, a mixed martial arts promotion. It began on February 28, 2014 and aired on Spike TV.

The season included tournaments for the Heavyweight, Welterweight, Featherweight, Light Heavyweight, and Lightweight weight classes. At the end of the season, Bellator held its first pay-per-view event, Bellator 120, on May 17, 2014.
Gold Coast hinterland
The Gold Coast hinterland is an area of South East Queensland, Australia that comprises the Tweed Range, Nimmel Range, Tamborine Mountain, Numinbah Valley, eastern parts of the McPherson Range and western parts of suburban Gold Coast, such as Mudgeeraba.  This undefined unit of area is known for its tourist attractions including resorts, rainforest, lookouts, national parks, its diversity of fauna and flora and as a green backdrop to the coastal strip.  It overlaps part of the Scenic Rim and is part of both the City of Gold Coast and Scenic Rim Region and includes Springbrook, Binna Burra and O'Reilly.

Scenic Rim Region
The Scenic Rim Region is a local government area (LGA) in the West Moreton region of South East Queensland, Australia. Established in 2008, it was preceded by several previous local government areas with histories extending back to the early 1900s and beyond. The main town of the region is Beaudesert.

It has an estimated operating budget of A$33 million.

In the 2021 census, the Scenic Rim Region had a population of 42,984 people.
Beale Street
Beale Street is a street in Downtown Memphis, Tennessee, which runs from the Mississippi River to East Street, a distance of approximately 1.8 miles (2.9 km). It is a significant location in the city's history, as well as in the history of blues music. Today, the blues clubs and restaurants that line Beale Street are major tourist attractions in Memphis. Festivals and outdoor concerts frequently bring large crowds to the street and its surrounding areas.

Furry Lewis
Walter E. "Furry" Lewis (March 6, 1893 or 1899 – September 14, 1981) was an American country blues guitarist and songwriter from Memphis, Tennessee. He was one of the earliest of the blues musicians active in the 1920s to be brought out of retirement and given new opportunities to record during the folk blues revival of the 1960s.
Delphinium andersonii
Delphinium andersonii is a species of perennial larkspur known as Anderson's larkspur. This wildflower is native to western North America, where it can be found in the Great Basin and the Sierra Nevada.

D. andersonii is an erect perennial usually reaching about half a meter in height. It has small leaves on long petioles with the leaf blades divided into long fingerlike lobes. The top of the slender stem is occupied by a cylindrical inflorescence of flowers, each flower two to four centimeters wide with a spur measuring nearly two centimeters in length. The flowers usually have sepals of a brilliant dark blue, with the lower two petals the same color and the upper two petals white. Some individuals have sepals and petals of very light purple or blue to almost white. The anthers are often yellow. It was named after Charles Lewis Anderson by Asa Gray.

Delphinium
Delphinium is a genus of about 300 species of annual and perennial flowering plants in the family Ranunculaceae, native throughout the Northern Hemisphere and also on the high mountains of tropical Africa. The genus was erected by Carl Linnaeus.

All members of the genus Delphinium are toxic to humans and livestock. The common name larkspur is shared between perennial Delphinium species and annual species of the genus Consolida. Molecular data show that Consolida, as well as another segregate genus, Aconitella, are both embedded in Delphinium.

The genus name Delphinium derives from the Ancient Greek word δελφίνιον (delphínion) which means "dolphin", a name used in De Materia Medica for some kind of larkspur. Pedanius Dioscorides said the plant got its name because of its dolphin-shaped flowers.
Bladworth
Bladworth (2016 population: 65) is a village] in the Canadian province of Saskatchewan within the Rural Municipality of McCraney No. 282 and Census Division No. 11. The village is located 99 kilometres (62 mi) south of the city of Saskatoon on Highway 11.

Rural Municipality of McCraney No. 282
The Rural Municipality of McCraney No. 282 (2016 population: 310) is a rural municipality (RM) in the Canadian province of Saskatchewan within Census Division No. 11 and SARM Division No. 5. It is located in the south-central portion of the province.
Granulomatous slack skin
Granulomatous slack skin (GSS) is a rare cutaneous condition, a variant of lymphoma that typically presents in middle-aged adults.: 735

It is a form of cutaneous T-cell lymphoma and a variant of mycosis fungoides.

Cutaneous T-cell lymphoma
Cutaneous T-cell lymphoma (CTCL) is a class of non-Hodgkin lymphoma, which is a type of cancer of the immune system.  Unlike most non-Hodgkin lymphomas (which are generally B-cell-related), CTCL is caused by a mutation of T cells.  The cancerous T cells in the body initially migrate to the skin, causing various lesions to appear.  These lesions change shape as the disease progresses, typically beginning as what appears to be a rash which can be very itchy and eventually forming plaques and tumors before spreading to other parts of the body.
105th Guards Vienna Airborne Division
The 105th Guards Airborne Division (Russian: 105-я гвардейская воздушно-десантная Венская дивизия) was an airborne forces division unit of the Soviet Airborne Troops.

The division was originally formed as the 12th Guards Airborne Division as part of the 38th Guards Airborne Corps in December 1943. In December 1944, it became the 105th Guards Rifle Division of the 9th Guards Army. On 7 June 1946, the 105th Guards Airborne division was formed from the 105th Guards Rifle Division. Disbanded in 1979, the division was reactivated in 1990. It was taken over by Uzbekistan in 1992, while still not yet fully formed. The division was dissolved in 1994 and became the 17th Air Assault Brigade.

345th Independent Guards Airborne Regiment
The 345th Guards Air Assault Red Banner Order of Suvorov Regiment (Russian: 345-й гвардейский десантно-штурмовой Краснознаменный ордена Суворова полк; MUN 33702) is a unit of the Russian Airborne Forces (VDV) and regiment of the 104th Guards Air Assault Division. Before 1992, it was part of the Soviet Airborne Forces. After the collapse of the Soviet Union, it was active in the Russian Armed Forces until 1998, when it was disbanded. The regiment was restored by a decision of the Russian Ministry of Defense in 2023.
Elgin East (federal electoral district)
Elgin East was a federal electoral district represented in the House of Commons of Canada from 1867 to 1925. It was located in the province of Ontario. It was created by the British North America Act 1867 which divided the county of Elgin into two ridings: Elgin East and Elgin West based on a traditional division.

In 1882, the East Riding of the county of Elgin was defined as consisting of the townships of Yarmouth, Malahide and Bayham, the villages of Port Stanley, Aylmer and Vienna, and the city of St. Thomas.

In 1903, the riding was redefined to exclude the township of Malahide and the city of St. Thomas, and to include the townships of Dorchester South and Malahide, and the village of Springfield.

The electoral district was abolished in 1924 when it was redistributed between Elgin West and Norfolk—Elgin ridings.

Norfolk—Elgin
Norfolk—Elgin was a federal electoral district represented in the House of Commons of Canada from 1925 to 1935. It was located in the province of Ontario. This riding was created in 1924 from Norfolk riding and parts of Elgin East riding.

It consisted of the county of Norfolk and the townships of Bayham and Malahide in the county of Elgin.

The electoral district was abolished in 1933 when it was redistributed between Norfolk and Elgin ridings.
Lake Havasu
Lake Havasu (/ˈhɑːvəsuː/ HAH-və-soo) is a large reservoir formed by Parker Dam on the Colorado River, on the border between San Bernardino County, California, and Mohave County, Arizona. Lake Havasu City sits on the Arizonan side of the lake with its Californian counterpart of Havasu Lake directly across the lake. The reservoir has an available capacity of 619,400 acre-feet (0.7640 km3). The concrete arch dam was built by the United States Bureau of Reclamation between 1934 and 1938. The lake's primary purpose is to store water for pumping into two aqueducts. Prior to the dam construction, the area was home to the Mojave people. The lake was named (in 1939) after the Mojave word for blue. In the early 19th century, it was frequented by beaver trappers. Spaniards also began to mine the areas along the river.

Havasu Lake, California
Havasu Lake is an unincorporated community in San Bernardino County, California, United States, located on Lake Havasu on the Chemehuevi Reservation in the Mojave Desert. The community serves as the seat of the tribal government of the Chemehuevi Indian Tribe and is home to the Havasu Landing Casino.

The Siwavaats Junior College in Havasu Lake teaches the Chemehuevi language.

Water is provided by the Havasu Water Company. Sanitation Services are provided by San Bernardino County Service area HL 70 Havasu Lake

Students in Havasu Lake attend schools within the Needles Unified School District. Elementary School Students attend Chemehuevi Valley Elementary School

Havasu Landing Resort and Casino provides a ferry from Havasu Lake to Lake Havasu City, Arizona.
Jean Marie Le Bris
Jean Marie Le Bris (25 March 1817, Concarneau – 17 February 1872, Douarnenez) was a French aviator, born in Concarneau, Brittany who built two glider aircraft and performed at least one flight on board of his first machine in late 1856. His name (French pronunciation: [ʒɑ̃ maʁi lə bʁis]) is sometimes spelled Jean-Marie Le Bris, and he is also known as Yann Vari Ar Briz (Breton pronunciation: [jɑ̃n vari ar briz\s]) in Breton language.

Early flying machines
Early flying machines include all forms of aircraft studied or constructed before the development of the modern aeroplane by 1910. The story of modern flight begins more than a century before the first successful manned aeroplane, and the earliest aircraft thousands of years before.
GADGET
GADGET is free software for cosmological N-body/SPH simulations written by Volker Springel at the Max Planck Institute for Astrophysics. The name is an acronym of "GAlaxies with Dark matter and Gas intEracT". It is released under the GNU GPL. It can be used to study for example galaxy formation and dark matter.

N-body simulation
In physics and astronomy, an N-body simulation is a simulation of a dynamical system of particles, usually under the influence of physical forces, such as gravity (see n-body problem for other applications). N-body simulations are widely used tools in astrophysics, from investigating the dynamics of few-body systems like the Earth-Moon-Sun system to understanding the evolution of the large-scale structure of the universe. In physical cosmology, N-body simulations are used to study processes of non-linear structure formation such as galaxy filaments and galaxy halos from the influence of dark matter. Direct N-body simulations are used to study the dynamical evolution of star clusters.
Packerland Conference
The Packerland Conference is an athletic conference of high schools located in northeastern Wisconsin. Formed in 1970, the conference and its member schools are affiliated with the Wisconsin Interscholastic Athletic Association.

Marinette & Oconto Conference
The Marinette & Oconto Conference is a high school athletic conference in northeastern Wisconsin.  Founded in 1927, the conference and its members are affiliated with the Wisconsin Interscholastic Athletic Association.
Hot springs in Taiwan
Taiwan is part of the collision zone between the Yangtze Plate and Philippine Sea Plate. Eastern and southern Taiwan are the northern end of the Philippine Mobile Belt.

Located next to an oceanic trench and volcanic system in a tectonic collision zone, Taiwan has evolved a unique environment that produces high-temperature springs with crystal-clear water, usually both clean and safe to drink. These hot springs are commonly used for spas and resorts.

Soaking in hot springs became popular in Taiwan around 1895 during the 50-year long colonial rule by Japan.

Guanziling Hot Spring
Guanziling Hot Spring (Chinese: 關子嶺溫泉; pinyin: Guānzilǐng Wēnquán; Wade–Giles: Kuan1-tzu1-ling3) is a hot spring in Baihe District, Tainan, Taiwan. The hot spring was discovered by the Japanese troops in the area and it was named Taiwan's No. 1 Hot Spring in 1920. The hot spring is located at an altitude of 270 meters above sea level. This rare spring releases methane, which has been burning constantly for around three centuries.