hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Tautological one-form
In mathematics, the tautological one-form is a special 1-form defined on the cotangent bundle  of a manifold  In physics, it is used to create a correspondence between the velocity of a point in a mechanical system and its momentum, thus providing a bridge between Lagrangian mechanics and Hamiltonian mechanics (on the manifold ).

The exterior derivative of this form defines a symplectic form, giving  the structure of a symplectic manifold. The tautological one-form plays an important role in relating the formalism of Hamiltonian mechanics and Lagrangian mechanics. The tautological one-form is sometimes also called the Liouville one-form, the Poincaré one-form, the canonical one-form, or the symplectic potential. A similar object is the canonical vector field on the tangent bundle.

Hamiltonian mechanics
In physics, Hamiltonian mechanics is a reformulation of Lagrangian mechanics that emerged in 1833. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities  used in Lagrangian mechanics with (generalized) momenta. Both theories provide interpretations of classical mechanics and describe the same physical phenomena.

Hamiltonian mechanics has a close relationship with geometry (notably, symplectic geometry and Poisson structures) and serves as a link between classical and quantum mechanics.
James Orthwein
James Busch Orthwein (March 13, 1924 – August 15, 2008) was an American heir and business executive. He owned the New England Patriots of the National Football League (NFL) from 1992 to 1993. After unsuccessfully attempting to move the franchise to his home city of St. Louis, he sold the Patriots to Robert Kraft in 1994.

Robert Kraft
Robert Kenneth Kraft (born June 5, 1941) is an American billionaire businessman. He is the chairman and chief executive officer (CEO) of the Kraft Group, a diversified holding company with assets in paper and packaging, sports and entertainment, real estate development, and a private equity portfolio. Since 1994, Kraft has owned the New England Patriots of the National Football League (NFL). He also owns the New England Revolution of Major League Soccer (MLS), which he founded in 1996. In 2017, he founded the Boston Uprising, an Overwatch League esports team that competed from 2017 until it disbanded in January 2024.  As of July 2024, he has an estimated net worth of US$11.1 billion according to Forbes.
The Hollow Crown (TV series)
The Hollow Crown is a British television series which aired from 30 June 2012 to 21 May 2016 on BBC Two. It is an adaptation of William Shakespeare's history plays. The first series is an adaptation of Shakespeare's second historical tetralogy, the Henriad: Richard II, Henry IV, Part 1, Henry IV, Part 2 and Henry V and aired in 2012. The concluding second series which aired in 2016 and known as The Hollow Crown: The Wars of the Roses, a reference to the series of English civil wars known as the Wars of the Roses, are based on Shakespeare's first tetralogy: Henry VI, Part 1, Henry VI, Part 2, Henry VI, Part 3, and Richard III. Both series received widespread praise for their production and performances.

Richard II (play)
The Life and Death of King Richard the Second (1595), also Richard II, is a Shakespearean history play about the lifetime and reign of King Richard II of England (r. 1377–1399). As a dramatised period history of the English monarchy, Richard II chronicles the machinations of the noblemen of the royal court who conspire, precipitate, and realise the downfall and death of the King of England.

As the first work in the Henriad tetralogy of English history plays, the political narrative of Richard II is thematically followed throughout the stories of Henry IV, Part 1, Henry IV, Part 2, and Henry V, which also are histories of the reigns of his royal successors to the Throne of England. Although the First Folio (1623) classifies The Life and Death of Richard the Second as an English history play, the earlier Quarto edition (1597) classifies Richard II as a tragedy, under the title The Tragedie of King Richard the Second.
Covert prestige
In sociolinguistics, covert prestige is the high social prestige with which certain nonstandard languages or dialects are regarded within a speech community, though usually only by their own speakers. This is in contrast to the typical case of standard varieties holding widespread and often consciously acknowledged high prestige—that is, overt prestige—within a speech community.

The concept of covert prestige was first introduced by linguist William Labov, when he observed speakers preferring to use a nonstandard dialect, even though the speakers considered that dialect to be inferior. Labov proposed an explanation for the continued usage of the nonstandard dialect: to form a sense of group identity in informal speech situations.

Vernacular
Vernacular is the ordinary, informal, spoken form of a language or dialect, particularly when perceived as having lower social status or less prestige than standard language, which is more codified, institutionally promoted, literary, or formal. More narrowly, any particular variety of a natural language that does not hold a widespread high-status perception, and sometimes even carries social stigma, is also called a vernacular, vernacular dialect, nonstandard dialect, etc. and is typically its speakers' native variety. Regardless of any such stigma, all nonstandard dialects are full-fledged varieties of language with their own consistent grammatical structure, sound system, body of vocabulary, etc.
Property Brothers
Property Brothers is a Canadian reality television series now produced by Scott Brothers Entertainment, and is the original show in the Property Brothers franchise. The series features twin brothers Drew Scott and Jonathan Scott.

Drew is a real estate expert who scouts neglected houses and negotiates their purchases. His brother, Jonathan, is a licensed contractor who then renovates the houses. Together, the Property Brothers help families find, buy, and transform fixer-uppers into dream homes on a strict timeline and budget. The show has aired in over 150 countries, including on the W Network in Canada and on HGTV in the United States.

Scott Brothers Global
Scott Brothers Global is the international entertainment production company founded by brothers and partners Jonathan and Drew Scott. The company has its origins in Dividian Production Group, an independent film company that the twins, along with their older brother JD, founded in 2002. Dividian Production Group became Scott Brothers Entertainment in 2010, before coming under the umbrella of Scott Brothers Global in 2017.
The Godfathers of Hardcore
The Godfathers of Hardcore is a 2017 American documentary film about the hardcore band Agnostic Front mainly focusing on the bands two longest tenured members vocalist Roger Miret and guitarist Vinnie Stigma It was directed by Ian McFarland.

Agnostic Front
Agnostic Front is an American hardcore punk band from New York City. Founded in 1980, the band is considered an important influence on the New York hardcore scene, as well as a pioneer of the crossover thrash genre.
Hoplitosaurus
Hoplitosaurus (meaning "Hoplite lizard") was a genus of armored dinosaur related to Polacanthus. It was named from a partial skeleton found in the Barremian (Early Cretaceous) Lakota Formation of Custer County, South Dakota. It is an obscure genus which has been subject to some misinterpretation of its damaged remains. Although there was a push to synonymize it with Polacanthus in the late 1980s-early 1990s, Hoplitosaurus has been accepted as a valid albeit poorly known genus in more recent reviews.

Polacanthus
Polacanthus (from the Ancient Greek polys-/πολύς- "many" and akantha/ἄκανθα "thorn" or "prickle") is an extinct genus of ankylosaurian dinosaurs from the early Cretaceous (130–125 million years ago) of England. Several species have been named in the genus Polacanthus, but only the type species, Polacanthus foxii, is currently seen as valid. There are not many fossil remains of this dinosaur, and some important anatomical features, such as its skull, are poorly known. It grew to about 4–5 metres (13–16 ft) long. Its body was covered with armour plates and spikes. It may be a basal member of the Nodosauridae or part of a separate family, the Polacanthidae.
Beckum Hills
The Beckum Hills (German: Beckumer Berge), named after the town of Beckum, are a range of low hills, up to  174.4 m above sea level (NN), in the region of Münsterland in the German state of North Rhine-Westphalia (Germany). Along with the Baumberge and its foothills and the Haltern Hills they are among the few prominent elevations in the otherwise gently rolling Münsterland (which lies at 55 m above NN in the centre), the River Werse passes the ridge at 100 m to the east and the Lippe passing it at a height of 60 m near Hamm-Uentrop at some distance away from their highest point.

In terms of natural regions the Beckum Hills belong to the Kernmünsterland, being located in the southeast of that region.

Werse
The Werse [German pronunciation: [ˈvɛʁzə]]  (river no. 32) is a 67-kilometre-long (42 mi), left-hand tributary of the River Ems in Münsterland, North Rhine-Westphalia in Germany. The catchment area of the Werse is 762.47 km². Its name may be derived from a pre-Indo-European language, Vasconic, from which the Basque language developed. Its water quality is Class II-III and, in places, Class II. Contamination from communal sewage farms, fish ponds, but especially diffuse contamination from agriculture pollutes the mass balance of the Werse and leads to eutrophication along the entire river course, especially in the retention basin areas.
Crested capuchin
The crested capuchin or robust tufted capuchin (Sapajus robustus) is a species of robust capuchin monkey. It is endemic to Brazil. It was formerly considered a subspecies of the black capuchin but is now considered by some to be a separate species.

Black capuchin
The black capuchin (Sapajus nigritus), also known as the black-horned capuchin, is a capuchin monkey from the Atlantic Forest in south-eastern Brazil and far north-eastern Argentina. Historically, it was included as a subspecies of the tufted capuchin.
Maccabiah Games
The Maccabiah Games (Hebrew: משחקי המכביה, or משחקי המכביה העולמית; sometimes referred to as the "Jewish Olympics") is an international multi-sport event with summer and winter sports competitions featuring Jews and Israelis regardless of religion. Held every four years in Israel, the Maccabiah Games is considered the foremost sports competition for global Jewry.

The Maccabiah Games were declared a "Regional Sports Event" by, and under the auspices and supervision of, the International Olympic Committee in 1961.

Organized by the Maccabi World Union, the first games were held in 1932.

The 2022 Maccabiah Games were originally scheduled for 2021, but were postponed and held in 2022 due to the global COVID-19 pandemic, making it the first summer games to be postponed.

The next Maccabiah Games were supposed to be held in Israel between July 1, 2025 and July 22, 2025, but were postponed to the summer of 2026 due to the Iran–Israel war.

Maccabi World Union
Maccabi World Union is an international Jewish sports organisation spanning five continents (Africa, North America, South America, Australia, Europe) and more than 50 countries, with some 400,000 members. The Maccabi World Union organises the Maccabiah Games, a prominent international Jewish athletics event.

The organisation comprises six confederations: Maccabi Israel, European Maccabi confederation, confederation Maccabi North America, confederation Maccabi Latin America, Maccabi South Africa, and Maccabi Australia.
MV Yulius Fuchik
Yulius Fuchik (Russian: Юлиус Фучик) was a Soviet and later Ukrainian barge carrier. Derivatives of the Seabee system, she and her sister ship, Tibor Szamueli, were built in the late 1970s by the Finnish state-owned shipbuilder Valmet in Vuosaari shipyard. As the demand for lighter transport fell in the 1990s, she was sold and eventually broken up in Alang in 2003.

MV Tibor Szamueli
MV Tibor Szamueli was a Soviet and later Russian barge carrier. Derivatives of the Seabee system, she and her sister ship, MV Yulius Fuchik, were built in the late 1970s by the Finnish state-owned shipbuilder Valmet in Vuosaari shipyard. As the demand for lighter transport fell in the 1990s, she was sold and eventually broken up.

The ship was named for the Hungarian revolutionary Tibor Szamuely, who had a major role in the short-lived Hungarian Soviet Republic of 1919, her sister ship being called for the Czech Communist hero and martyr of the anti-Nazi Resistance Julius Fučík.
Kenya Regiment
The Kenya Regiment was a unit of the British Army recruited primarily among white settlers in Kenya and to a lesser extent Uganda. Formed in 1937, it was disbanded at the outbreak of World War II in 1939.  It was reformed in 1950 and participated in the suppression of the Mau Mau uprising (1952–56). It was finally disbanded on Kenyan independence in May 1963.

Kenya Colony
The Colony and Protectorate of Kenya, commonly known as British Kenya or British East Africa, was a colony part of the British Empire located in East Africa from 1920 until 1963. It was established when the former East Africa Protectorate was transformed into a British Crown colony in 1920. Technically, the "Colony of Kenya" referred to the interior lands, while a 16-kilometre (9.9 mi) coastal strip, nominally on lease from the Sultan of Zanzibar, was the "Protectorate of Kenya", but the two were controlled as a single administrative unit. The colony came to an end in 1963 when a native Kenyan majority government was elected for the first time and eventually declared independence.

However, Kenya is sometimes referred to as the "Scottish Colony" due to the fact that William Mackinnon, the founder of the Imperial British East Africa Company that was governing Kenya, was a native of Scotland.
Grande Prairie Transit
Grande Prairie Transit (marketed as "GP Transit") is the public transportation system serving the city of Grande Prairie in northwestern Alberta, Canada. Established in 1981, the system operates nine fixed bus routes, on-demand transit services, and Paratransit across the city. The service is operated directly by the city.

Grande Prairie
Grande Prairie is a city in northwestern Alberta, Canada, within the southern portion of an area known as Peace River Country. It is located at the intersection of Highway 43 (part of the CANAMEX Corridor) and Highway 40 (the Bighorn Highway), approximately 456 kilometres (283 mi) northwest of the provincial capital, Edmonton. The city is surrounded by the County of Grande Prairie No. 1.

Grande Prairie was the seventh-largest city in Alberta in 2016, with a population of 63,166, and was one of Canada's fastest growing cities between 2001 and 2006, and Canada's northernmost city with more than 50,000 people.

The city has adopted the trumpeter swan as its official symbol due to its proximity to the bird's migration route and its summer nesting grounds. For that reason, Grande Prairie is sometimes nicknamed the Swan City. The dinosaur has also emerged as an unofficial symbol of the city due to paleontological discoveries in the areas north and west of Grande Prairie.
54th Rifle Division (Soviet Union)
The 54th Rifle Division was an infantry division of the Soviet Union's Red Army and Soviet Army, formed twice. The division was formed in 1936 and fought in the Winter War. The division spent most of World War II in Karelia fighting with Finnish troops in the Continuation War. After Finland left the war the division was relocated southward and fought in the East Prussian Offensive and the Prague Offensive in 1945. The division was disbanded in the summer of that year. The 54th Rifle Division was awarded the Order of Lenin, the Order of the Red Banner and the Order of Kutuzov 2nd class. It was also awarded the honorific "Masuria" for its actions in the East Prussian Offensive. The division was reformed in 1955 from the 341st Rifle Division and became a motor rifle division in 1957.

341st Rifle Division (Soviet Union)
The 341st Rifle Division was first formed in September 1941, as a standard Red Army rifle division, at Stalingrad. It was a "sister" unit to the 335th Rifle Division, which was formed at about the same time and place and shared a very similar combat path in its first formation. It was assigned to the southern sector of the Soviet-German front during the winter counteroffensive, but was effectively destroyed during the German spring offensive that formed the Izium Pocket, and was soon disbanded. The division was formed again almost exactly two years later, this time in the Karelian Front, facing Finland, and saw only limited action in the Continuation War before being assigned to coastal defense duties during 1945. The 341st Rifle Division continued to serve well into the Cold War, eventually being re-designated and becoming a motorized rifle division.
Grapevine Pinot gris virus
Grapevine Pinot gris virus (GPGV) is a positive sense single-stranded RNA virus in the genus Trichovirus. It affects the growth of grapevine plants' leaves and fruit, and is similar to grapevine berry inner-necrosis virus.

Trichovirus
Trichovirus is a genus of viruses in the order Tymovirales, in the family Betaflexiviridae. Plants, specifically angiosperms such as pome fruits, citrus, and pear, serve as natural hosts for this plant pathogen. There are ten species in this genus.
Annetta Johnson Saint-Gaudens
Annetta Johnson Saint-Gaudens (1869–1943) was an American sculptor, born in Flint, Ohio. She is best remembered for creating sculptures of "animals, children (and) fountains", but she also did the finishing carving on a "colossal marble figure", the allegorical sculpture Painting in front of the St. Louis Art Museum. She was also significant in the art world as being the wife of Louis Saint-Gaudens and the sister-in-law of Augustus Saint-Gaudens, with whom she studied and worked as an assistant.

Louis Saint-Gaudens
Louis Saint-Gaudens  (January 1, 1854 – March 8, 1913) was an American sculptor of the Beaux-Arts generation.  He was the brother of renowned sculptor Augustus Saint-Gaudens; Louis later changed the spelling of his name to St. Gaudens to differentiate himself from his well-known brother.
1st Airborne Command Control Squadron
The 1st Airborne Command Control Squadron is part of the 95th Wing at Offutt Air Force Base, Nebraska.  It operates the Boeing E-4 aircraft conducting airborne command and control missions.

The squadron is one of the oldest in the United States Air Force, its origins dating to 25 September 1917, when it was organized at Fort Omaha, Nebraska.  It served overseas in France as part of the American Expeditionary Forces during World War I.   The squadron saw combat during World War II, and became part of the Strategic Air Command during the Cold War.

Boeing E-4
The Boeing E-4 Advanced Airborne Command Post (AACP), the current "Nightwatch" aircraft, is a series of strategic command and control military aircraft operated by the United States Air Force (USAF). The E-4 series are specially modified from the Boeing 747-200B for the National Emergency Airborne Command Post (NEACP) program. One of its primary purposes is continuity of government during nuclear warfare, thus being nicknamed the "Doomsday plane".

The E-4 serves as a survivable mobile command post for the National Command Authority, namely the president of the United States, the secretary of Defense, and successors.  The four E-4s are operated by the 1st Airborne Command and Control Squadron of the 595th Command and Control Group located at Offutt Air Force Base, near Omaha, Nebraska. An E-4 when in action is denoted a "National Airborne Operations Center" (NAOC).

The E-4B aircraft are to be replaced by the SNC E-4C Survivable Airborne Operations Center.
Sumitomo Mitsui Banking Corporation
Sumitomo Mitsui Banking Corporation (株式会社三井住友銀行, Kabushiki-gaisha Mitsui Sumitomo Ginkō; SMBC) is a Japanese multinational banking financial services institution owned by the Sumitomo Mitsui Financial Group, which is also known as the SMBC Group. It is headquartered in the same building as SMBC Group in Marunouchi, Chiyoda, Tokyo, Japan.

SMBC was established in 2001 through the merger of the Sakura Bank, which originated from the Mitsui zaibatsu and was founded as Mitsui Bank in 1876, and The Sumitomo Bank, which originated from the Sumitomo zaibatsu and was founded in 1895.

Mitsui Bank
Mitsui Bank, Ltd. (三井銀行, Mitsui Ginkō) was a major Japanese bank from 1876 to 1990. The home bank of the Mitsui conglomerate, it was one of the largest Japanese banks for much of the 20th century, together with Dai-Ichi Bank, Mitsubishi Bank, Sumitomo Bank, and Yasuda / Fuji Bank. In 1943 it merged with Dai-Ichi Bank to form Teikoku Bank (Japanese: 帝国銀行, lit. 'Imperial Bank'). In 1948, Dai-Ichi Bank was spun off again from Teikoku, which changed its name back to Mitsui Bank in 1954.

In 1990, Mitsui Bank merged with Taiyo Kobe Bank to form Mitsui Taiyo Kobe Bank (MTKB), which was renamed Sakura Bank in April 1992 and was a predecessor entity of Sumitomo Mitsui Banking Corporation (SMBC).
Malangen Municipality
Malangen (Northern Sami: Málatvuotna or Kven: Malankivuono) is a former municipality in Troms county in Norway. The 372-square-kilometre (144 sq mi) municipality existed from 1871 until its dissolution in 1964. The old municipality surrounded the Malangen fjord and today that area is divided between several municipalities: Balsfjord, Lenvik, Tromsø, and Målselv. The administrative centre was the village of Mortenhals where the main church for the municipality, Malangen Church, is located.

Prior to its dissolution in 1964, the 372.2-square-kilometre (143.7 sq mi) municipality was the 244th largest by area out of the 689 municipalities in Norway. Malangen Municipality was the 421st most populous municipality in Norway with a population of about 2,090. The municipality's population density was 5.6 inhabitants per square kilometre (15/sq mi) and its population had decreased by 7.2% over the previous 10-year period.

Målselv Municipality
Målselv (Northern Sami: Málatvuomi suohkan) is a municipality in Troms county, Norway. The administrative centre of the municipality is the village of Moen. The main commercial centre of the municipality is the town of Bardufoss (which includes the neighborhoods of Andselv, Andslimoen, and Heggelia). Other villages in the municipality include Alapmoen, Fossmoen, Holmen, and Skjold.

The 3,324-square-kilometre (1,283 sq mi) municipality is the 11th largest by area out of the 357 municipalities in Norway. Målselv is the 149th most populous municipality in Norway with a population of 6,714. The municipality's population density is 2 inhabitants per square kilometre (5.2/sq mi) and its population has increased by 1.2% over the previous 10-year period.
Dorasan
Dorasan (Korean: 도라산) or Mount Dora is a 156-metre (512 ft) hill on the north bank of the Imjin River in northernmost Paju, South Korea. It lies very near the Korean Demilitarized Zone. The hill gives its name to several nearby landmarks, including Dorasan Station and the Mt. Dora Observatory, as well as to the local administrative unit Dorasan-ri.

Dorasan station
Dorasan station (Korean: 도라산역) is a railway station situated on the Gyeongui–Jungang Line, which formerly connected North Korean and South Korean rail systems and has since been restored. Dorasan station is located approximately 650 meters (710 yards) from the southern boundary of the Korean Demilitarized Zone and is currently the northern terminus of Korail's Gyeongui-Jungang Line, which is served by shuttle service to Imjingang station. North of here the former Gyeongui Line continues as the Korean State Railway's P'yŏngbu Line, but this connection is not in regular service. The current purpose of the station is largely symbolic of the hope for eventual Korean reunification.