hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Hypernetted-chain equation
In statistical mechanics the hypernetted-chain equation is a closure relation to solve the Ornstein–Zernike equation which relates the direct correlation function to the total correlation function. It is commonly used in fluid theory to obtain e.g. expressions for the radial distribution function. It is given by:

where  is the number density of molecules, ,   is the radial distribution function,  is the direct interaction between pairs.  with   being the Thermodynamic temperature and  the Boltzmann constant.

Number density
The number density (symbol: n or ρN) is an intensive quantity used to describe the degree of concentration of countable objects (particles, molecules, phonons, cells, galaxies, etc.) in physical space: three-dimensional volumetric number density, two-dimensional areal number density, or one-dimensional linear number density. Population density is an example of areal number density. The term number concentration (symbol: lowercase n, or C, to avoid confusion with amount of substance indicated by uppercase N) is sometimes used in chemistry for the same quantity, particularly when comparing with other concentrations.
Crime in Russia
Crime in Russia refers to the multivalent issues of organized crime, extensive political and police corruption, and all aspects of criminality at play in Russia. Violent crime in Siberia is much more apparent than in Western Russia.

European Russia
European Russia is the western and most populated part of the Russian Federation. It is geographically situated in Europe, as opposed to the country's sparsely populated and vastly larger eastern part, Siberia, which is situated in Asia, encompassing the entire northern region of the continent. The two parts of Russia are divided by the Ural Mountains and Ural river, bisecting the Eurasian supercontinent. European Russia spans roughly 40% of Europe's total landmass, with over 15% of its total population, making Russia the largest and most populous country in Europe. The region is divided into six Federal districts.
Hunter-class sloop
The Hunter class was a class of two sloops of wooden construction built for the Royal Navy between 1755 and 1756. Both were built by contract with commercial builders to a common design prepared by Thomas Slade, the Surveyor of the Navy.

Both were ordered on 5 August 1755, and contracts with the builders were agreed on 8 August. They were two-masted (snow-rigged) vessels, although the Hunter was built with a 'pink' or very narrow stern (and a keel 3 feet longer than the original design), while her sister Viper had a traditional 'square' stern.

Hunter was captured by two American privateers off Boston on 23 November 1775, but was retaken by HMS Greyhound the following day.

Thomas Slade
Sir Thomas Slade (1703/4 – 23 February 1771) was an English shipwright best known for designing the Royal Navy warship HMS Victory, which served as Lord Nelson's flagship at the Battle of Trafalgar in 1805.
R-11 regional road (Montenegro)
R-11 regional road (Montenegrin: Regionalni put R-11) (previously known as R-10 regional road) is a Montenegrin roadway.

It serves as a connection between  M-2 and  M-6 highways, and also is shortest connection between Bijelo Polje and Pljevlja

Bijelo Polje
Bijelo Polje (Cyrillic: Бијело Поље, pronounced [bîjɛlɔː pɔ̂ʎɛ]) is a town located in the Northern Region of Montenegro, situated along Lim River. It has an urban population of 12,900 (2011 census). It is the administrative, economic, cultural and educational centre of northern Montenegro.

Bijelo Polje is the center of Bijelo Polje Municipality (population of 38,662). Bijelo Polje means 'white field' in Serbo-Croatian.
Bill Irons
William Irons is an American evolutionary anthropologist and professor emeritus in anthropology at the Northwestern University known for his research on the Yomut Turkmen, in northern Iran. His research interests include evolutionary ecology, reproductive strategies, demography and the evolutionary foundations of morality and religion.

Together with Napoleon Chagnon he organized a set of symposia for the 1976 annual meeting of the American Anthropological Association exploring the use of behavioral ecology in anthropology. In 1979 this led to the publication of a volume edited by Chagnon and Irons entitled Evolutionary Biology and Human Social Behavior: An Anthropological Perspective encompassing much of the earliest work in anthropology designed to evaluate evolutionary theories of human behavior. Irons, Chagnon and Lee Cronk also co-edited the volume Adaptation and Human Behavior: An Anthropological Perspective

Yomut
The Yomut (Turkmen: Ýomut,  Persian: یَمود/یُمود ) is a large ethnographic group within the Turkmen people and historically one of the five major tribes of Turkmenistan. The Yomut have maintained a distinct cultural identity and continue to live primarily in Turkmenistan, Iran, and Uzbekistan.

The earliest depictions and descriptions of the Yomut date back to the 16th century. The first official guidebook about the Yomut and the neighboring ethnic groups was written by Clement Augustus de Bode, titled On the Yamud and Goklan Tribes of Turkomania.
Palézieux–Lyss railway
The Palézieux–Lyss railway is a single-track standard-gauge line of the Swiss Federal Railways (SBB) in Romandy.

The section south of Kerzers is sometimes considered to form one of two lines that intersect at Payerne station and are referred to in French as the Ligne de la Broye (Broye line) or in German as the Broyelinien (Broye lines) or Broyetallinien (Broye valley lines). The Palézieux–Lyss railway includes the Broye longitudinal (Palézieux–Payerne–Murten–Kerzers). The Fribourg–Yverdon railway is considered to form the Broye transversal (Yverdon-les-Bains–Payerne–Fribourg/Freiburg). The lines are named after the Broye river, which passes through the cantons of Vaud and Fribourg, crossing the cantonal border ten times in total.

Romandy
Romandy is the French-speaking historical and cultural region of Switzerland. In 2020, about 2 million people, or 22.8% of the Swiss population, lived in Romandy. The majority of the romand population lives in the western part of the country, especially the Arc Lémanique region along Lake Geneva, connecting Geneva, Vaud, and the Lower Valais.

French is the sole official language in four Swiss cantons: Geneva, Vaud, Neuchâtel, and Jura. Additionally, French and German have co-official status in three cantons: Fribourg/Freiburg, Valais/Wallis, and Berne/Bern.
Concordia Academy (Austin, Texas)
Concordia High School (formerly known as Concordia Academy) is a private Christian high school in Pflugerville, Texas. The school is the only Lutheran high school in the greater Austin area. Founded in 2002, Concordia High School is a Christian, accredited, college preparatory school.

The AP courses offered are: AP Calculus, AP Economics, AP Physics B, and AP US History. Dual credit classes are also offered and vary by year. Currently ten sports are offered: cheer, football, cross country, soccer, volleyball, basketball, baseball, tennis, golf, and track. Extracurricular activities include band, choir, drama, art, Science Olympiad, National Honor Society, yearbook, TAPPS academic competition, student council, and class retreats. Before the start of classes every August, the new freshman class goes to Camp Lone Star to ease the transition from middle to high school. Prom is hosted every year by the Junior class for the Juniors and Seniors to celebrate the end of the school year.

Christian school
A Christian school is a religious school run on Christian principles or by a Christian organization. These schools often include religious education and worship in their curriculum. They may also have a distinct Christian mission or philosophy.

The nature of Christian schools varies enormously from country to country, according to the religious, educational, and political cultures. In some countries, there is a strict separation of church and state, so all religious schools are private; in others, there is an established church whose teachings form an integral part of the state-operated educational system; in yet others, the state subsidizes religious schools of various denominations.
Jeet (1996 film)
Jeet (transl. Victory) is a 1996 Indian Hindi-language romantic action film written and directed by Raj Kanwar and produced by Sajid Nadiadwala under Nadiadwala Grandson Entertainment. The film stars Sunny Deol, Salman Khan, Karisma Kapoor, Tabu and Amrish Puri.

Released on 23 August 1996, Jeet was blockbuster at the box office. With a production budget of ₹5.6 crore, it earned ₹30.5 crore worldwide, becoming one of the highest-grossing Hindi films of 1996. The film was remade in Dhallywood as Laal Badshah (1999).

Blockbuster (entertainment)
A blockbuster is a work of entertainment—typically used to describe a feature film produced by a major film studio, but also other media—that is highly popular and financially successful. The term has also come to refer to any large-budget production intended for "blockbuster" status, aimed at mass markets with associated merchandising, sometimes on a scale that meant the financial fortunes of a film studio or a distributor could depend on it.
Jagdgeschwader 51
Jagdgeschwader 51 (JG 51)  was a German fighter wing during World War II. JG 51's pilots won more awards than any other fighter wing of the Luftwaffe, and operated in all major theatres of war. Its members included Anton Hafner, Heinz Bär, Karl-Gottfried Nordmann, and Günther Schack.

Oryol
Oryol (Russian: Орёл, IPA: [ɐˈrʲɵl] ⓘ, lit. 'eagle'), also transliterated as Orel or Oriol, is a city and the administrative center of Oryol Oblast, Russia, situated on the Oka River, approximately 368 kilometers (229 mi) south-southwest of Moscow. It is part of the Central Federal District, as well as the Central Economic Region.

First founded as a medieval stronghold of the Principality of Chernigov, Oryol was part of Lithuania in the late medieval period, and then Russia since the early modern period. It has served as the seat of regional administration since 1778. The city is particularly known for the infamous former prison for political and war prisoners of Tsarist Russia, the Soviet Union and Nazi Germany.
Montborget
Montborget (French: [mɔ̃bɔʁʒɛ], Franco-Provençal: [mɔ̃bɔʁˈdzɛ] ⓘ) is a village and former municipality in the district of Broye in the canton of Fribourg, Switzerland.

It was first recorded in 1314 as Mauborget.

The municipality had 98 inhabitants in 1811, which increased to 124 in 1850 and 137 in 1900. It then declined to 104 in 1950 and 79 in 1980.

In 1981 the municipality was incorporated into the larger, neighboring municipality Murist.

Broye District
Broye District (French: [distʁi(kt) d(ə) la bʁwa]; Arpitan: District de la Brouye [diʃˈtʁi də la ˈbʁuj(ə)] ⓘ; German: Broyebezirk) is one of the seven districts of the Canton of Fribourg, Switzerland, lying in the vicinity of Lake Neuchâtel. Its territory is non-contiguous and Broye is fragmented into four parts, three of which exist as exclaves from the canton of Fribourg. It has a population of 33,901 (as of 31 December 2020).
Single Street
Single Street is a hamlet in the London Borough of Bromley in Greater London, located between Luxted and Berry's Green, and centred around a street of the same name. The first record of a settlement under the name 'Single Street' is from an Ordnance Survey map in 1871, but its name is derived from sengel, an Old English word meaning 'burnt clearing'.
Situated around 1 mile from both the Kent and Surrey borders, it is part of the largest ward in Greater London,  Darwin (ward), covering a rural area including Downe, Cudham, Leaves Green, Berry's Green, and Westerham Hill.

Westerham
Westerham is a town and civil parish in the Sevenoaks District of Kent, England. It is located 3.4 miles east of Oxted and 6 miles west of Sevenoaks, adjacent to the Kent border with both Greater London and Surrey.
It is recorded as early as the 9th century, and was mentioned in the Domesday Book of 1086 in a Norman form, Oistreham (compare Ouistreham in Normandy, Oistreham in 1086). Hām is Old English for a village or homestead, and so Westerham means a westerly homestead. The River Darent flows through the town, and formerly powered three watermills. The total population in 2021 was 4,498.
2023 WAFU Zone B U-20 Women's Cup
The 2023 WAFU Zone B U-20 Women's Cup is the inaugural edition of the WAFU Zone B U20 Women's Cup, the international women's youth football championship contested by the under-20 national teams of the member associations of the West African Football Union Zone B, the tournament is scheduled to take place in Ghana between 20 May and 3 June 2023.

West African Football Union
The West African Football Union (French: Union des Fédérations Ouest-Africaines de Football; Portuguese: União das Federações Oeste Africanas), officially abbreviated as WAFU-UFOA and WAFU,  is a sports governing body representing the football associations in West Africa that was founded in 1975 and is a subregional body of the Confederation of African Football (CAF).

It mainly organizes qualifying tournaments/championships for the CAF Women's Champions League and CAF's national team competitions except the Africa Cup of Nations, but also organizes its own competitions, like the currently-inactive WAFU Nations Cup.
Most Dangerous
Most Dangerous: Daniel Ellsberg and the Secret History of the Vietnam War is a 2015 non-fiction book, aimed for young adolescent readers, written by Steve Sheinkin and published through Roaring Brook Press. The multi-award-winning book tells the story of Daniel Ellsberg's role in the Vietnam War and the Pentagon Papers.

The Bulletin of the Center for Children's Books
The Bulletin of the Center for Children's Books is an academic journal established in 1945 by Frances E. Henne (University of Chicago Graduate Library School). The journal publishes reviews of the latest in children's literature in order to assist librarians and school instructors in their educational mission. The editor-in-chief is Kate Quealy-Gainer (University of Illinois Urbana-Champaign). The journal is published by the Johns Hopkins University Press.
Plaaz
Plaaz is a municipality  in the Rostock district, in Mecklenburg-Vorpommern, Germany.
It is situated close to the cities Güstrow, Laage and Teterow.
Plaaz includes several villages such as Mierendorf, Wendorf and Zapkendorf. As of January 2005, both Spoitgendorf and Recknitz are incorporated in this municipality.

Güstrow
Güstrow (German: [ˈɡʏstʁoː] ⓘ; Latin: Gustrovium) is a town in Mecklenburg-Vorpommern in north-eastern Germany. It is capital of the Rostock district;   Rostock itself is a district-free city and regiopolis.

It has a population of 28,999 (2020) and is the seventh largest town in Mecklenburg-Western Pomerania. Since 2006 Güstrow has had the official suffix Barlachstadt.

The town is known for its renaissance Güstrow Palace, the old town and its brick gothic cathedral with Ernst Barlach's Floating Angel sculpture.
Kitigan
Kitigan is a dispersed rural community in the Unorganized North Part of Cochrane District in Northeastern Ontario, Canada. It is located in geographic O'Brien Township along Ontario Highway 11 between the incorporated municipalities of Moonbeam to the east and Kapuskasing to the west.

The community is counted as part of Unorganized North Cochrane District in Canadian census data.

Township (Canada)
The term township, in Canada, is generally a district or area associated with a town or other locality. The specific use of the term to describe political subdivisions has varied across the country, usually to describe a local rural or semirural government.

In Eastern Canada, a township is one form of the subdivision of a county. In Quebec, the term is canton in French.
Quasi-identity
In universal algebra, a quasi-identity is an implication of the form

s1 = t1 ∧ … ∧ sn = tn → s = t

where s1, ..., sn, t1, ..., tn, s, and t are terms built up from variables using the operation symbols of the specified signature.

A quasi-identity amounts to a conditional equation for which the conditions themselves are equations. Alternatively, it can be seen as a disjunction of inequations and one equation s1 ≠ t1 ∨ ... ∨ sn ≠ tn ∨ s = t—that is, as a definite Horn clause. A quasi-identity with n = 0 is an ordinary identity or equation, so quasi-identities are a generalization of identities.

Term (logic)
In mathematical logic, a term is an arrangement of dependent/bound symbols that denotes a mathematical object within an expression/formula. In particular, terms appear as components of a formula. This is analogous to natural language, where a noun phrase refers to an object and a whole sentence refers to a fact.

A first-order term is recursively constructed from constant symbols, variable symbols, and function symbols.
An expression formed by applying a predicate symbol to an appropriate number of terms is called an atomic formula, which evaluates to true or false in bivalent logics, given an interpretation.
For example, ⁠⁠ is a term built from the constant 1, the variable x, and the binary function symbols ⁠⁠ and ⁠⁠; it is part of the atomic formula ⁠⁠ which evaluates to true for each real-numbered value of x.

Besides in logic, terms play important roles in universal algebra, and rewriting systems.
Chávez High School
Chávez High School can refer to several schools in the United States:

Chávez Huerta K-12 Preparatory Academy (Pueblo, Colorado)

Chávez High School (Delano, California)

Chávez High School (Houston)

César Chávez High School (Phoenix, Arizona)

Chávez High School (Santa Ana, California)

Cesar Chavez High School (Stockton, California)

César Chávez Learning Academies (San Fernando, California)

Chávez Huerta Preparatory Academy
Chávez Huerta Preparatory Academy was a charter school system in Pueblo, Colorado. It was divided into three campuses: César Chávez Academy (CCA), the elementary school; Ersilia Cruz Middle School (ECMS), the middle school; and Dolores Huerta Preparatory High School (DHPH), which was the only charter high school in Pueblo. It remained open for 25 years until closing in June 2025.
Agesilaus (historian)
Agesilaus (/əˌdʒɛsəˈleɪəs/; Ancient Greek: Ἀγησίλαος) was a Greek historian who wrote a work on the early history of Italy, fragments of which are preserved in Plutarch's "Parallel Lives", and in Stobaeus' Florilegium.

Florilegium
In medieval Latin, a florilegium (plural florilegia) was a compilation of excerpts or sententia from other writings and is an offshoot of the commonplacing tradition. The word is from the Latin flos (flower) and legere (to gather): literally a gathering of flowers, or collection of fine extracts from the body of a larger work. It was adapted from the Greek anthologia (ἀνθολογία) "anthology", with the same etymological meaning.

Later the word was used for various forms of compilation to do with flowers or plants, such as Banks' Florilegium, or just for published collections of various sorts.
Cookie Cutter (album)
Cookie Cutter is the fourth official studio album by recording artist Jim Bianco.

Released October 1, 2013, this album was created as a pledge sponsored gift for fans participating in Bianco's 2010 Kickstarter campaign. Over the course of the 45-day campaign, Bianco was able to raise $31,500 to launch the release of his 2011 album LOUDMOUTH. Bianco's campaign success was featured in an article by Shanna Schwarze at CNN.com.
Fans that pledged $500 or more to Bianco's Kickstarter campaign were given a questionnaire, which Bianco used to personalize a song about that person. "Cookie Cutter" is the result of this campaign gift, with proceeds of the sale given to charity benefiting veterans.

Bianco hosted a live concert performance at the Hudson Theater in Hollywood, CA in honor of the release on October 1, 2014.  
On October 2, 2013, Audie Cornish of NPR’s All Things Considered featured Bianco and his process of creating Cookie Cutter.

Audie Cornish
Audie N. Cornish (born October 9, 1979) is an American journalist who hosts CNN This Morning with Audie Cornish and the weekly CNN Audio podcast, The Assignment with Audie Cornish. Prior to joining CNN, she co-hosted NPR's All Things Considered from 2012 to 2022. She was previously the host of Profile by BuzzFeed News, a web-only interview show that lasted one season, as well as NPR Presents, a long-form conversation series with creatives about their projects, processes, and shaping culture in America.
Mary Bubb
Mary Bubb (née Mary Elizabeth Chaffin, 17 September 1920 – 28 March 1988) was one of the first space journalists reporting on launches out of Cape Canaveral, Florida. Bubb was the only woman reporter for military publication Daily Pacifican during World War II and the first woman space reporter.

NASA lists Bubb alongside Walter Cronkite and John Noble Wilford as one of its "Chroniclers," an honor recognizing broadcasters, journalists, authors, public relations representatives, and public affairs officers who covered Kennedy Space Center for at least a decade.

Decade
A decade (from Ancient Greek: δεκάς, dekas, lit. 'group of 10') is a period of 10 years. It may also be called a decennium (from Latin: decennium, lit. 'ten-year'). Decades may describe any ten-year period, such as those of a person's life, or refer to specific groupings of calendar years.
Biatora chrysanthoides
Biatora chrysanthoides is a species of corticolous (bark-dwelling), leprose lichen in the family Ramalinaceae. It is found in Norway, the Pacific Northwest of northern North America, Sweden, and Russia. It was formally described as a new species in 2003 by the lichenologists Christian Printzen and Tor Tønsberg. It contains gyrophoric acid in both the thallus and the apothecia (fruiting bodies), resulting in a C+ (quickly reddish) chemical spot test reaction. Its ascospores are 9.3–10.7 by 3.2–3.3 μm.

Tor Tønsberg
Tor Tønsberg (born 1948 in Oslo) is a Norwegian lichenologist who has made significant contributions to the taxonomy, chemistry, floristics, and phytogeography of lichens and lichenicolous fungi. Throughout his career, he has described more than one hundred species and genera new to science, advancing the knowledge of lichens in Europe and North America.
Jason Baitieri
Jason Baitieri (born 2 July 1989) is a France international rugby league footballer who retired professionally at the end of the 2021 season with the Catalans Dragons after 11 years with the club and over 250 appearances. Jason captained his country of birth France on multiple occasions including the 2017 Rugby League World Cup and the Inaugural Rugby League World Cup 9s competition.

He has previously played for the Sydney Roosters in the NRL, as well as bradford Bulls in the RFL Championship  . Jason is now head of Recruitment for the Baroudeurs de Pia XIII who play in the French FFR13 Elite 1 competition

Rugby League World Cup 9s
The Rugby League World Cup 9s was an international tournament played in the rugby league nines tournament.

The inaugural World Cup 9s took place on 18 and 19 October 2019 at the Bankwest Stadium in Sydney, New South Wales, Australia. The women's competition was won by New Zealand, and the men's competition by the hosts  Australia. The tournament, like the XIII's tournament, was intended to be held every four years. However the  2023 tournament, which was due to be held in Australia, was cancelled due to the New South Wales Government withdrawing support after the COVID-19 pandemic.