hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Archimedean group
In abstract algebra, a branch of mathematics, an Archimedean group is a linearly ordered group for which the Archimedean property holds: every two positive group elements are bounded by integer multiples of each other. The set R of real numbers together with the operation of addition and the usual ordering relation between pairs of numbers is an Archimedean group. By a result of Otto Hölder, every Archimedean group is isomorphic to a subgroup of this group. The name "Archimedean" comes from Otto Stolz, who named the Archimedean property after its appearance in the works of Archimedes.

Linearly ordered group
In mathematics, specifically abstract algebra, a linearly ordered or totally ordered group is a group G equipped with a total order "≤" that is translation-invariant. This may have different meanings. We say that (G, ≤) is a:

left-ordered group if ≤ is left-invariant, that is a ≤ b implies ca ≤ cb for all a, b, c in G,

right-ordered group if ≤ is right-invariant, that is  a ≤ b implies ac ≤ bc for all a, b, c in G,

bi-ordered group if ≤ is bi-invariant, that is it is both left- and right-invariant.

A group G is said to be left-orderable (or right-orderable, or bi-orderable) if there exists a left- (or right-, or bi-) invariant order on G. A simple necessary condition for a group to be left-orderable is to have no elements of finite order; however this is not a sufficient condition. It is equivalent for a group to be left- or right-orderable; however there exist left-orderable groups which are not bi-orderable.
Seenu Atoll
Seenu Atoll, historically known as Addu Atoll, is the southernmost atoll of the Maldives. Addu Atoll, together with Fuvahmulah, located 40 km north of Addu Atoll, extend the Maldives into the Southern Hemisphere. Addu Atoll is located 540 km south of Malé, the country's capital. Administratively, Addu Atoll is the location of Addu City, one of the four cities of the Maldives. Addu City consists of the inhabited areas of Addu Atoll, namely the natural islands of Hulhudhoo, Meedhoo, Maradhoo, Feydhoo, and Hithadhoo. (The districts of Addu City are not according to the natural islands that it comprises). In addition to the areas that are included as a part of Addu City, Addu Atoll has a number of other inhabited and uninhabited islands, including the island of Gan, where Gan International Airport is located.

Feydhoo (Addu Atoll)
Feydhoo (Dhivehi: ފޭދޫ) is one of the inhabited islands of the Addu Atoll (formerly known as Seenu Atoll).

The people of Feydhoo are former residents of Gan. Gan was a very fertile island with its coconut palms, breadfruit trees, yam, binbi and numerous other types of trees flourishing. Even during the Second World War, the people of Gan were economically self-sufficient. However, in 1956/1957 they had to leave their livelihood they had been enjoying for so long, forever because the British Royal Air Force leased the island to build RAF Gan, a military base on the island. All the residents were moved to the next island west of Gan, Feydhoo, a less fertile and much smaller island whose own residents were moved to the eastern side of Maradhoo.
Naval Air Station Patuxent River
Naval Air Station Patuxent River (IATA: NHK, ICAO: KNHK, FAA LID: NHK), also known as NAS Pax River, is a United States naval air station in St. Mary’s County, Maryland on the Chesapeake Bay near the mouth of the Patuxent River.

It is home to Headquarters, Naval Air Systems Command (NAVAIR), the U.S. Naval Test Pilot School, the Atlantic Test Range, Patuxent River Naval Air Museum, and serves as a center for test and evaluation and systems acquisition relating to naval aviation. The station also operates a small outlying field, NOLF Webster.

Commissioned on April 1, 1943, on land largely acquired through eminent domain, the air station grew rapidly in response to World War II and continued to evolve through the Cold War to the present.

United States Naval Test Pilot School
The United States Naval Test Pilot School, located at Naval Air Station Patuxent River in Patuxent River, Maryland, provides instruction to experienced United States Navy, Marine Corps, Army, Air Force, and foreign military experimental test pilots, flight test engineers, and flight test flight officers in the processes and techniques of aircraft and systems testing and evaluation.
138th Infantry Regiment (United States)
The 138th Infantry Regiment is a light infantry regiment of the United States Army and the Missouri National Guard.

There are currently two Battalions within the 138th Infantry Regiment:

The 1st Battalion, 138th Infantry Regiment is a light infantry battalion assigned to the 39th Infantry Brigade Combat Team, subordinate to the 35th Infantry Division. Headquartered at Jefferson Barracks.

The 3rd Battalion, 138th Infantry Regiment is a light infantry battalion assigned to the 72nd Infantry Brigade Combat Team (United States), subordinate to the 36th Infantry Division. As of 2024, the unit wears the 110th Maneuver Enhancement Brigade's patch until the official alignment is completed. Headquartered in Kansas City, Missouri.

35th Infantry Division (United States)
The 35th Infantry Division (formerly known as the 35th Division) is a formation of the Army National Guard, with its headquarters located at Fort Leavenworth, Kansas. The division is primarily composed of Army National Guard units from Missouri and Kansas, though it also includes subordinate units from other states. While the Kansas National Guard provides the headquarters element, the division is federally funded and maintained through the Department of the Army under the Department of Defense.
Marjorie Clarke
Marjorie J. "Maggie" Clarke is an American environmental scientist who specializes in recycling participation, waste prevention methods, waste-to-energy/incinerator emissions controls, environmental impacts of the World Trade Center fires and collapse, and community botanical gardening. Since the September 11, 2001 attacks she has focused on increasing participation in New York City's waste prevention and recycling programs.

Health effects arising from the September 11 attacks
Within seconds of the collapse of the World Trade Center in the September 11 attacks, building materials, electronic equipment, and furniture were pulverized and spread over the area of the Financial District of Lower Manhattan. In the five months following the attacks, dust from the pulverized buildings continued to fill the air of the World Trade Center site. Many New York residents have reported symptoms of Ground Zero–related respiratory illnesses.

Various health programs have arisen to deal with the ongoing health effects of the September 11 attacks. The World Trade Center Health Program, which provides testing and treatment to 9/11 responders and survivors, consolidated many of these after the James Zadroga 9/11 Health and Compensation Act became law in January 2011.

More people have died from illnesses caused by 9/11 than during the attack itself.
Gale–Ryser theorem
The Gale–Ryser theorem is a result in graph theory and combinatorial matrix theory, two branches of combinatorics. It provides one of two known approaches to solving the bipartite realization problem, i.e. it gives a necessary and sufficient condition for two finite sequences of natural numbers to be the degree sequence of a labeled simple bipartite graph; a sequence obeying these conditions is called "bigraphic". It is an analog of the Erdős–Gallai theorem for simple graphs. The theorem was published independently in 1957 by H. J. Ryser and David Gale.

Erdős–Gallai theorem
The Erdős–Gallai theorem is a result in graph theory, a branch of combinatorial mathematics. It provides one of two known approaches to solving the graph realization problem, i.e. it gives a necessary and sufficient condition for a finite sequence of natural numbers to be the degree sequence of a simple graph. A sequence obeying these conditions is called "graphic". The theorem was published in 1960 by Paul Erdős and Tibor Gallai, after whom it is named.
Hong Kong University of Science and Technology
The Hong Kong University of Science and Technology (HKUST) is a public university in Sai Kung District, New Territories, Hong Kong. Founded in 1991, it was the territory's third institution to be granted university status, and the first university without any precursory existence upon its formation. It occupies a 60-hectare (150-acre) seaside site in Tai Po Tsai, Clear Water Bay Peninsula.

The university is organised into five academic schools: School of Engineering, School of Business and Management, School of Science, School of Humanities and Social Science, and the Academy of Interdisciplinary Studies. In the 2023–24 academic year, it enrolled around 10,000 undergraduates and 6,800 postgraduates, and employed 903 academic staff.

Sai Kung District
Sai Kung District is one of the 18 districts of Hong Kong. The district comprises the southern half of the Sai Kung Peninsula, the Clear Water Bay Peninsula in the New Territories and a strip of land to the east of Kowloon. Areas in the district include Sai Kung Town, Hong Kong UNESCO Global Geopark, Tseung Kwan O and over 70 islands of different sizes. The administrative centre had been located in Sai Kung Town until the Sai Kung District Office was relocated to Tseung Kwan O recently. The district's population is concentrated in Tseung Kwan O, as of 2011. In 2011, the district was the third youngest district, with a median age of 39.3. Known as the "back garden of Hong Kong", Sai Kung has been able to retain its natural scenery. Many traditional customs and cultures are still retained in the rural villages.
Niohuru clan
The Niohuru (Manchu: ᠨᡳᠣᡥᡠᡵᡠ; Chinese: 鈕祜祿; pinyin: Niǔhùlù; Wade–Giles: Niu3-hu4-lu4; lit. 'wolf' in Manchu) were a prominent Manchu clan during the Qing dynasty. The clan had inhabited the Changbai Mountains since as early as the Liao dynasty. The clan was well known during the Qing dynasty for producing a variety of consorts of all ranks for emperors, several of whom went on to become mothers to reigning emperors. Prominent people who belonged or trace heritage to the Niohuru clan including famed Manchu warrior Eidu, his son the high official Ebilun, the Empress Dowager Ci'an, the infamous corrupt official Heshen, the contemporary concert pianist Lang Lang and Lang Tsuyun (Ann Lang), Taiwanese TV, movie and stage actress, singer and producer.

Heshen
Heshen (Manchu: ᡥᡝᡧᡝᠨ, romanized: Hešen; Chinese: 和珅; pinyin: Héshēn; Wade–Giles: Ho2-shen1; 1 July 1750 – 22 February 1799) of the Manchu Niohuru clan, was an official of the Qing dynasty. Favored by the Qianlong Emperor, he was described as the most corrupt official in Chinese history, having acquired an estimated 1.1 billion taels of silver, equal to roughly US$270 billion, during his career. After the death of Qianlong, the Jiaqing Emperor confiscated Heshen's wealth and forced him to commit suicide. Heshen is remembered as one of the richest men in history.

Born Shanbao (Shan-pao; 善保), his name was later changed to Heshen. His courtesy name was Zhizhai (Chih-chai; 致齋). He was a member of the Plain Red Banner.
Digital encoding of APL symbols
The programming language APL uses a number of symbols, rather than words from natural language, to identify operations, similarly to mathematical symbols. Prior to the wide adoption of Unicode, a number of special-purpose EBCDIC and non-EBCDIC code pages were used to represent the symbols required for writing APL.

ISO-IR-68
The APL Character Set for Workspace Interchange, registered for use with ISO/IEC 2022 as ISO-IR-68, is a character set developed by the APL Working Group of the Canadian Standards Association. IBM calls it Code page 371. It is one of several APL code pages used for the syntax and symbols used by the APL programming language.
750th Space Group
The United States Air Force's 750th Space Group was a space operations unit located at Onizuka Air Force Station, California. its predecessor was formed on 1 October 1987; it assumed the designation of the 750th Space Group on 30 January 1992, and it was inactivated on 25 June 1999.

Onizuka Air Force Station
Onizuka Air Force Station or Onizuka AFS was a U.S. Air Force installation in Sunnyvale, California, at the intersection of State Route 237 and North Mathilda Avenue. It operated from 1960 to 2010.

One of its distinguishing feature was Building 1003, known locally as the Blue Cube and the "Cube" given its shape, color, and lack of windows. The station's other distinguishing features were its three primary parabolic antennas, used for communication with remote tracking stations used to control military satellites; these antennas were named Sun East, Sun West, and Sun 3.
Oinoi, Boeotia
Oinoi (Greek: Οινόη) is a village in Boeotia, Greece. Since the 2011 local government reform it is part of the municipality Tanagra, and the municipal unit of Schimatari. Population 855 (2021). It is situated in the wide valley of the river Asopos, at 6 km from the South Euboean Gulf coast. It is situated about 3 km southeast of Schimatari, 26 km east of Thebes and 41 km north-northwest of Athens.

Schimatari
Schimatari (Greek: Σχηματάρι) is a town and a former municipality in Boeotia, Greece. Since the 2011 local government reform it is part of the municipality Tanagra, of which it is the seat and a municipal unit. The municipal unit has an area of 38.285 km2. It is situated in the wide valley of the river Asopos, at 6 km from the South Euboean Gulf coast. The A1 motorway (Athens - Lamia - Thessaloniki) passes north of Schimatari. Schimatari is located 13 km south of Chalcis, 23 km east of Thebes and 43 km north-northwest of Athens. The Tanagra Airport lies to the south.

An agricultural settlement until the 1980s, its proximity to Athens has led to a significant growth in industrial activities and population.
Undie 500
The Undie 500, originally named the Under 500, was an annual student-run car rally between Christchurch and Dunedin, New Zealand with multiple stops at drinking establishments along the way. The name comes from the original rule that the vehicle must be  purchased for less than NZ$500, and optionally decorated. The event ran from 1988 to 2009 and was organised by ENSOC, the engineering society at the University of Canterbury.

ENSOC
ENSOC, short for Engineering Society and formally the University of Canterbury Engineering Society Inc., is a faculty-based student society at the University of Canterbury in Christchurch, New Zealand founded in 1897. The Society was established as a medium for scholars to discuss relevant engineering issues and to fraternise.

Nowadays, ENSOC is the largest faculty club at the University and welcomes members from all faculties. ENSOC is run by a student committee elected annually by the university's engineering students.
Mudhoney
Mudhoney is an American rock band formed in Seattle, Washington, on January 1, 1988, following the demise of Green River. Its members are singer and rhythm guitarist Mark Arm, lead guitarist Steve Turner, bassist Guy Maddison and drummer Dan Peters. Original bassist Matt Lukin left the band in 1999, but rejoined the band in December 2000 for a tour that lasted through January 2001.

Mudhoney's early releases on the Sub Pop label, particularly their debut single "Touch Me I'm Sick" and the Superfuzz Bigmuff EP, were instrumental in the creation of the grunge genre. Although the band found little commercial success and remained somewhat 'underground' and non-mainstream, Mudhoney has released eleven studio albums and inspired countless grunge and alternative rock musicians during their long career.

Sub Pop
Sub Pop is an independent record label founded in 1986 in Seattle by Bruce Pavitt and Jonathan Poneman. Sub Pop achieved fame in the early 1990s for signing Seattle bands such as Nirvana, Soundgarden, and Mudhoney, central players in the grunge movement. They are often credited with helping popularize grunge music. The label's roster includes Fleet Foxes, Tad, Beach House, The Postal Service, Sleater-Kinney, Flight of the Conchords, Foals, Blitzen Trapper, Father John Misty, clipping., Shabazz Palaces, Weyes Blood, Guerilla Toss, Bully,  La Luz, Low, METZ, Rolling Blackouts Coastal Fever, Kiwi Jr., Built to Spill, TV Priest and The Shins. In 1995, the owners of Sub Pop sold a 49% stake of the label to the Warner Music Group.
Aguinaldo Shrine
The Emilio Aguinaldo Shrine (or the Cavite El Viejo Shrine) is a national shrine located in Kawit, Cavite in the Philippines, where the Philippine Declaration of Independence from Spain was declared on June 12, 1898, or Independence Day. To commemorate the event, now known as Araw ng Kalayaan or Independence Day, a national holiday, the Philippine flag is raised here by top government officials on June 12 each year. The house is now a museum.

Philippine Declaration of Independence
The Philippine Declaration of Independence (Filipino: Pagpapahayag ng Kasarinlan ng Pilipinas; Spanish: Declaración de Independencia de Filipinas) was proclaimed by Filipino revolutionary forces general Emilio Aguinaldo on June 12, 1898, in Cavite el Viejo (present-day Kawit, Cavite), Philippines. It asserted the sovereignty and independence of the Philippine islands from the 300 years of colonial rule by Spain.
Power system reliability
The power system reliability (sometimes grid reliability) is the probability of a normal operation of the electrical grid at a given time. Reliability indices characterize the ability of the electrical system to supply customers with electricity as needed by measuring the frequency, duration, and scale of supply interruptions.  Traditionally two interdependent components of the power system reliability are considered:

power system adequacy, a presence in the system of sufficient amounts of generation and transmission capacity;

power system security (also called operational reliability), an ability of the system to withstand real-time contingencies (adverse events, e.g., an unexpected loss of generation capacity).

Ability of the system to limit the scale and duration of a power interruption is called resiliency. The same term is also used to describe the reaction of the system to the truly catastrophic events.

Contingency (electrical grid)
In an electrical grid, contingency is an unexpected failure of a single principal component (e.g., an electrical generator or a power transmission line) that causes the change of the system state large enough to endanger the grid security. Some protective relays are set up in a way that multiple individual components are disconnected due to a single fault, in this case, taking out all the units in a group counts as a single contingency. A scheduled outage (like maintenance) is not a contingency.

The choice of term emphasizes the fact that a single fault can cause severe damage to the system so quickly that the operator will not have time to intervene, and therefore a reaction to every single fault has to be defensively pre-built into the system configuration. Some sources use the term interchangeably with "disturbance" and "fault".
Plethodon
Plethodon is a genus of salamanders in the family Plethodontidae. They are commonly known as woodland salamanders. All members of the genus are endemic to North America (Canada and the United States). They have no aquatic larval stage. In some species, such as the red-backed salamander (Plethodon cinereus). Young hatch in the adult form. Members of Plethodon primarily eat small invertebrates. The earliest known fossils of this genus are from the Hemphillian of Tennessee in the United States.

Red-backed salamander
The red-backed salamander (Plethodon cinereus) is a small, hardy woodland salamander species in the family Plethodontidae. It is also known as the redback salamander, eastern red-backed salamander, or the northern red-backed salamander to distinguish it from the southern red-backed salamander (Plethodon serratus). The species inhabits wooded slopes in eastern North America, west to Missouri, south to North Carolina, and north from southern Quebec and the Maritime provinces in Canada to Minnesota. It is one of 56 species in the genus Plethodon. Red-backed salamanders are notable for their color polymorphism and primarily display two color morph varieties ("red-backed" and "lead-backed"), which differ in physiology and anti-predator behavior.
Gambling in the United Kingdom
Gambling in the United Kingdom is regulated by the Gambling Commission on behalf of the government's Department for Culture, Media and Sport (DCMS) under the Gambling Act 2005. This Act of Parliament significantly updated the UK's gambling laws, including the introduction of a new structure of protections for children and vulnerable adults, as well as bringing the burgeoning Internet gaming sector within British islands for the first time.

Gambling for centuries has been a main recreational activity in Great Britain. Horse racing has been a favourite theme for over three centuries. It has been heavily regulated. Historically much of the opposition comes from evangelical Protestants, and from social reformers.

On 8 December 2020, Nigel Huddleston MP announced a call for evidence to begin the Gambling Act Review.

Gambling Commission
The Gambling Commission is an executive, non-departmental public body of the Government of the United Kingdom responsible for regulating gambling and supervising gaming law in Great Britain. Its remit covers arcades, betting, bingo, casinos, slot machines and lotteries, as well as remote gambling, but not spread betting. Free prize competitions and draws are free of the Commission's control under the "Gambling Act 2005".

The stated aims of the Commission are to keep crime out of gambling, and to protect the vulnerable. It issues licenses to operators and advises the government on gambling-related issues. It also collaborates with the police over suspected illegal gambling.
The Commission replaced the Gaming Board for Great Britain in 2007. In 2013, it assumed responsibility for regulating the National Lottery.
Gadsden High School (New Mexico)
Gadsden High School (GHS), originally named Valley High School, is a public high school in unincorporated Doña Ana County, New Mexico, United States, with an Anthony, New Mexico, postal address. Gadsden High School is administered by Gadsden Independent School District.

Gadsden High School serves the surrounding towns of Mesquite, Vado, Berino, La Mesa, San Miguel, Chamberino, La Union, and Anthony.

Anthony, New Mexico
Anthony is a city in Doña Ana County, New Mexico, United States. The population was 8,693 at the 2020 census. It is located on the New Mexico–Texas state line in the Upper Mesilla Valley (immediately north of Anthony, Texas), and on Interstate 10, 24 miles south of Las Cruces and 18 miles north of El Paso, Texas.
Mary French Rockefeller
Mary Billings French Rockefeller (May 1, 1910 – April 17, 1997) was an American heiress, socialite, philanthropist, and a member of the extensive Rockefeller family. She was married to Laurance Rockefeller, son of John Davison Rockefeller Jr. and Abby Aldrich Rockefeller. She was the mother of Laura Rockefeller Chasin, Marion Rockefeller Weber, Lucy Rockefeller Waletzky, and Laurance Spelman Rockefeller Jr.

Marion Rockefeller Weber
Marion Rockefeller Weber (born 1938) is the second eldest daughter of Laurance Spelman Rockefeller (1910–2004) and Mary French (1910–1997) and a fourth generation member of the Rockefeller family. Her paternal great-grandfather is Standard Oil's founder John D. Rockefeller and maternal great-grandfather is Frederick Billings, a president of Northern Pacific Railway.