hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Root of unity
In mathematics, a root of unity is any complex number that yields 1 when raised to some positive integer power n. Roots of unity are used in many branches of mathematics, and are especially important in number theory, the theory of group characters, and the discrete Fourier transform. It is occasionally called a de Moivre number after French mathematician Abraham de Moivre.

Roots of unity can be defined in any field. If the characteristic of the field is zero, the roots are complex numbers that are also algebraic integers. For fields with a positive characteristic, the roots belong to a finite field, and, conversely, every nonzero element of a finite field is a root of unity. Any algebraically closed field contains exactly n nth roots of unity, except when n is a multiple of the (positive) characteristic of the field.

Order (group theory)
In mathematics, the order of a finite group is the number of its elements. If a group is not finite, one says that its order is infinite. The order of an element of a group (also called period length or period) is the order of the subgroup generated by the element. If the group operation is denoted as a multiplication, the order of an element a of a group, is thus the smallest positive integer m such that am = e, where e denotes the identity element of the group, and am denotes the product of m copies of a. If no such m exists, the order of a is infinite.

The order of a group G is denoted by ord(G) or |G|, and the order of an element a is denoted by ord(a) or |a|, instead of  where the brackets denote the generated group.

Lagrange's theorem states that for any subgroup H of a finite group G, the order of the subgroup divides the order of the group; that is, |H| is a divisor of |G|. In particular, the order |a| of any element is a divisor of |G|.
DR (broadcaster)
DR (pronounced [ˈte̝ˀˌɛɐ̯]), officially the Danish Broadcasting Corporation in English, is a Danish public-service radio and television broadcasting company. Founded in 1925 as a public-service organization, it is Denmark's oldest and largest electronic media enterprise. DR shares many of its organisational characteristics with its British counterpart, the BBC, on which it was largely modelled. DR is a founding member of the European Broadcasting Union.

DR was originally funded by a media licence, however since 2022, the media license has been replaced by an addition to the Danish income tax.

Today, DR operates three television channels, all of which are distributed free-to-air via a nationwide DVB-T2 network. DR also operates seven radio channels. All are available nationally on DAB+ radio and online, with the four original stations also available on FM radio. Bjarne Corydon serves as the current Director-General of DR since August 2025.

Fly on the Wings of Love
"Fly on the Wings of Love" is a song recorded by Danish pop-rock duo Olsen Brothers –Jørgen and Niels Olsen–, with music composed and lyrics written by Jørgen Olsen. It represented Denmark in the Eurovision Song Contest 2000, held in Stockholm, resulting in the country's second win at the contest. The song was an international hit, most notably in Sweden, where it reached number one. The original Danish-language version "Smuk som et stjerneskud" was a number-one hit in their native Denmark.
Friedrich Dürrenmatt
Friedrich Dürrenmatt (German: [ˈfriːdrɪç ˈdʏrənˌmat] ⓘ; 5 January 1921 – 14 December 1990) was a Swiss author and dramatist. He was a proponent of epic theatre whose plays reflected the recent experiences of World War II. The politically active author's work included avant-garde dramas, philosophical crime novels, and macabre satire. Dürrenmatt was a member of the Gruppe Olten, a group of left-wing Swiss writers who convened regularly at a restaurant in the city of Olten.

Heinrich Böll
Heinrich Theodor Böll (/bɜːrl/; German: [ˈhaɪnʁɪç ˈteːodoːɐ̯ ˈbœl] ⓘ; 21 December 1917 – 16 July 1985) was a German writer. Considered one of Germany's foremost post–World War II writers, Böll received the Georg Büchner Prize (1967) and the Nobel Prize for Literature (1972).
Pernilla Lindberg
Pernilla Anna Lindberg (born 13 July 1986) is a Swedish professional golfer who played on the U.S.-based LPGA Tour and the Ladies European Tour. She won the 2018 ANA Inspiration, a major championship, and represented Sweden at the 2016 Summer Olympics. As an amateur she was part of the team winning the 2008 Espirito Santo Trophy, the IGF's World Amateur Team Championship.

Moriya Jutanugarn
Moriya Jutanugarn (Thai: โมรียา จุฑานุกาล; RTGS: Moriya Chuthanukan; born 28 July 1994) is a Thai professional golfer.

In 2009, Jutanugarn became the first female to win the Duke of York Young Champions Trophy. In 2013, she was named LPGA Rookie of the Year. She has played on the LPGA Tour since 2013.

Her sister, Ariya, also plays on the LPGA Tour. Moriya won her first event in her 156th start at the 2018 Hugel-JTBC LA Open. Moriya and Ariya are the second set of sisters to win on the LPGA, after Charlotta and Annika Sörenstam. In July 2021, she secured her second LPGA win alongside her sister, Ariya, at the Dow Great Lakes Bay Invitational in Michigan.
Giacomo Carissimi
(Gian) Giacomo Carissimi (Italian pronunciation: [ˈʒaːkomo kaˈrissimi] ⓘ; baptized 18 April 1605 – 12 January 1674) was an Italian composer and music teacher. He is one of the most celebrated masters of the early Baroque or, more accurately, the Roman School of music.  Carissimi established the characteristic features of the Latin oratorio and was a prolific composer of masses, motets, and cantatas. He was highly influential in musical developments in northern European countries through his pupils, like Kerll in Germany and Charpentier in France, and the wide dissemination of his music.

Alessandro Stradella
Antonio Alessandro Boncompagno Stradella (Bologna, 3 July 1643 – Genoa, 25 February 1682) was an Italian composer of the middle Baroque period. He enjoyed a dazzling career as a freelance composer, writing on commission, and collaborating with distinguished poets, producing over three hundred works in a variety of genres.
Basingstoke and Deane
51°15′22″N 1°06′40″W﻿ / ﻿51.256°N 1.111°W﻿ / 51.256; -1.111

Basingstoke and Deane is a local government district with borough status in Hampshire, England. The main town is Basingstoke, where the council is based. The district also includes the towns of Tadley and Whitchurch, along with numerous villages and surrounding rural areas. The modern district was created in 1974, initially being called Basingstoke. It changed its name to "Basingstoke and Deane" in 1978 at the same time that it was made a borough; Deane was added to the name to represent the rural parts of the borough, being the area's smallest village.

Parts of the borough lie within the North Wessex Downs, an Area of Outstanding Natural Beauty. The neighbouring districts are Hart, East Hampshire, Winchester, Test Valley, West Berkshire and Wokingham.

Non-metropolitan district
Non-metropolitan districts, or colloquially "shire districts", are a type of local government district in England. As created, they are sub-divisions of non-metropolitan counties (colloquially shire counties) in a two-tier arrangement. Non-metropolitan districts with borough status are known as boroughs, able to appoint a mayor. Some shire counties, for example Cornwall, now have no sub-divisions so are a single non-metropolitan district.

Typically, a district will consist of a market town and its more rural hinterland. However, districts are diverse, with some being mostly urban (such as Dartford) and others more polycentric (such as Thurrock).
Gestation
Gestation is the period of development during the carrying of an embryo, and later fetus, inside viviparous animals (the embryo develops within the parent). It is typical for mammals, but also occurs for some non-mammals. Mammals during pregnancy can have one or more gestations at the same time, for example in a multiple birth.

The time interval of a gestation is called the gestation period. In obstetrics, gestational age refers to the time since the onset of the last menses, which on average is fertilization age plus two weeks.

Estrous cycle
The estrous cycle (from Latin  oestrus 'frenzy', originally from Ancient Greek  οἶστρος (oîstros) 'gadfly') is a set of recurring physiological changes induced by reproductive hormones in females of mammalian subclass Theria. Estrous cycles start after sexual maturity in females and are interrupted by anestrous phases, otherwise known as "rest" phases, or by pregnancies. Typically, estrous cycles repeat until death. These cycles are widely variable in duration and frequency depending on the species. Some animals may display bloody vaginal discharge, often mistaken for menstruation. Many mammals used in commercial agriculture, such as cattle and sheep, may have their estrous cycles artificially controlled with hormonal medications for optimum productivity. The male equivalent, seen primarily in ruminants, is called rut.
Bobby Isaac
Robert Vance Isaac (August 1, 1932 – August 14, 1977) was an American stock car racing driver. Isaac made his first NASCAR appearance in 1961, and quickly forged a reputation of one of the toughest competitors of the 1960s and 1970s. He was most famously associated with driving Nord Krauskopf's red No. 71 K&K Insurance Dodge Charger. Isaac was NASCAR's Grand National Series champion in 1970. Isaac abruptly retired from full-time top-level competition in 1973 and died of a heart attack during a late model race at Hickory Motor Speedway in 1977. For his achievements, Isaac was named as one of NASCAR's 50 Greatest Drivers and inducted into the NASCAR Hall of Fame.

Dick Brooks
Richard Harold Brooks (April 14, 1942 – February 1, 2006) was an American NASCAR driver. Born in Porterville, California, he was the 1969 NASCAR Rookie of the Year, and went on to win the 1973 Talladega 500. Brooks held off veteran Buddy Baker by 7.2 seconds for the Talladega win. After he retired, he served as a NASCAR sportscaster for a brief period of time. His Grand National statistics include the win at Talladega Superspeedway, 57 top-fives, 150 top-tens, 4 top-ten points finishes (1975 through 1978), and 358 career races. Although Brooks only won one NASCAR race, he was a popular figure in that  league of motorsports. Brooks drove for the underfunded Junie Donlavey team throughout his racing career.
Grand Duchy of Frankfurt
The Grand Duchy of Frankfurt was a German satellite state of Napoleonic creation.  It came into existence in 1810 through the combination of the former territories of the Archbishopric of Mainz along with the Free City of Frankfurt itself.

Prince-primate
Prince-primate (German: Fürstprimas, Hungarian: hercegprímás) is a rare princely title held by individual (prince-) archbishops of specific sees in a presiding capacity in an august assembly of mainly secular princes, notably the following:
Leeds Rhinos
The Leeds Rhinos are a professional rugby league club in Leeds, West Yorkshire, England. The club play their home games at AMT Headingley Rugby Stadium and compete in the Super League, the top tier of British rugby league.

Leeds Rhinos have won the League Championship 11 times, Challenge Cup 14 times and World Club Challenge three times.

The club share big long-standing West Yorkshire Derby rivalries and City rival with Hunslet Rugby League Huddersfield Giants and Bradford Bulls. Leeds' traditional home colours are blue and amber shirts with white shorts and blue socks.

2010 World Club Challenge
The 2010 World Club Challenge (known as the Gillette World Club Challenge due to sponsorship by Gillette Fusion) was a rugby league tournament contested by Super League XIV champions, Leeds Rhinos, and 2009 NRL Premiers the Melbourne Storm. This was Leeds' third consecutive appearance in the World Club Challenge, and the second appearance in three years for Melbourne. Melbourne and Leeds previously played each other in the 2008 World Club Challenge with Leeds winning that match 11 - 4.

Melbourne Storm won the game 18-10; however later in the year were stripped of the title (as well as its 2009 NRL premiership and other titles) after the club was found guilty of salary cap breaches. The prize money was redistributed to Leeds, but the title of World Club Champion was not.
Shapeshifting
In mythology, folklore and speculative fiction, shapeshifting is the ability to physically transform oneself through unnatural means. The idea of shapeshifting is found in the oldest forms of totemism and shamanism, as well as the oldest existent literature and epic poems such as the Epic of Gilgamesh and the Iliad. The concept remains a common literary device in modern fantasy, children's literature and popular culture. Examples of shape-shifters include changelings, jinns, kitsune, vampires, and werewolves, along with deities such as Loki and Vertumnus.

Myth
Myth is a genre of folklore consisting primarily of narratives that play a fundamental role in a society. For scholars, this is totally different from the ordinary sense of the term myth, meaning a belief that is not true, as the veracity of a piece of folklore is entirely irrelevant to determining whether it constitutes a myth.

Myths are often endorsed by religious and secular authorities, and may be natural or supernatural in character. Many societies group their myths, legends, and history together, considering myths and legends to be factual accounts of their remote past. In particular, creation myths take place in a primordial age when the world had not achieved its later form. Origin myths explain how a society's customs, institutions, and taboos were established and sanctified. National myths are narratives about a nation's past that symbolize the nation's values. There is a complex relationship between recital of myths and the enactment of rituals.
Terry Teachout
Terrance Alan Teachout (February 6, 1956 – January 13, 2022) was an American author, critic, biographer, playwright, stage director, and librettist.

He was the drama critic of The Wall Street Journal, the critic-at-large of Commentary, and the author of "Sightings", a column about the arts in the U.S. that was published biweekly in The Wall Street Journal. He weblogged at About Last Night and wrote about the arts for many other magazines and newspapers, including The New York Times and National Review. He was a co-host on Three on the Aisle, a monthly podcast about theater in the United States, hosted by American Theatre magazine, which ran from September 2017 to December 2021.

The Silent Speaker
The Silent Speaker is a Nero Wolfe detective novel by Rex Stout, first published by the Viking Press in 1946. It was published just after World War II, and key plot elements reflect the lingering effects of the war: housing shortages and restrictions on consumer goods, including government regulation of prices, featuring the conflict between a federal price regulatory body and a national business association, paralleling the conflicts between the Office of Price Administration and the U.S. Chamber of Commerce and the National Association of Manufacturers.

The Silent Speaker was Stout's first full-length Nero Wolfe novel since Where There's a Will in 1940. "Thereafter, though he would continue writing for another thirty years, his stories would all be Nero Wolfe stories," wrote biographer John McAleer. "He liked Wolfe and Archie. After all, they were an essential part of himself. 'During the war years I missed them,' he told me."
Issey Miyake
Issey Miyake (Japanese: 三宅 一生, Hepburn: Miyake Issei; [mijake iꜜsseː] 22 April 1938 – 5 August 2022) was a Japanese fashion designer. He was known for his technology-driven clothing designs, notably the Pleats, Please line, exhibitions and fragrances such as L'eau d'Issey.

Jean Paul Gaultier
Jean Paul Gaultier (French: [ʒɑ̃ pɔl ɡotje]; born 24 June 1952) is a French haute couture and prêt-à-porter fashion designer.

He is described as an "enfant terrible" of the fashion industry and is known for his unconventional designs with motifs including corsets, marinières, and tin cans. Gaultier founded his eponymous fashion label in 1982, and expanded with a line of fragrances in 1993. He was the creative director for French luxury house Hermès from 2003 to 2010, and retired following his 50th-anniversary haute couture show during Paris Fashion Week in January 2020.

As a costume designer, Gaultier created Madonna's cone bra for the 1990 Blond Ambition World Tour, and the costumes for the movies The City of Lost Children (1995), The Fifth Element (1997), Bad Education (2004) and The Skin I Live In (2011).
Henry Draper Catalogue
The Henry Draper Catalogue (HD) is an astronomical star catalogue published between 1918 and 1924, giving spectroscopic classifications for 225,300 stars; it was later expanded by the Henry Draper Extension (HDE), published between 1925 and 1936, which gave classifications for 46,850 more stars, and by the Henry Draper Extension Charts (HDEC), published from 1937 to 1949 in the form of charts, which gave classifications for 86,933 more stars. In all, 359,083 stars were classified as of August 2017.

The HD catalogue is named after Henry Draper, an amateur astronomer, and covers the entire sky almost completely down to an apparent photographic magnitude of about 9; the extensions added fainter stars in certain areas of the sky. The construction of the Henry Draper Catalogue was part of a pioneering effort to classify stellar spectra, and its catalogue numbers are commonly used as a way of identifying stars.

Harvard College Observatory
The Harvard College Observatory (HCO) is an institution managing a complex of buildings and multiple instruments used for astronomical research by the Harvard University Department of Astronomy. It is located in Cambridge, Massachusetts, United States, and was founded in 1839. With the Smithsonian Astrophysical Observatory, it forms part of the Center for Astrophysics | Harvard & Smithsonian.

HCO houses the Harvard Plate Stacks, a collection of approximately 600,000 astronomical plates taken between the mid-1880s and 1989 (with a gap from 1953–1968). This 100-year coverage is a unique resource for studying temporal variations in the universe. The Digital Access to a Sky Century @ Harvard project scanned and 429,274 direct image plates, leaving nearly 200,000 spectra and other photographic plates yet to be digitized. In 2024, a new database, StarGlass, was created to combine the scientific data from the plates with the Plate Stack's archival holdings.
Charles XV
Charles XV and IV (Carl Ludvig Eugen; Swedish and Norwegian officially: Karl; 3 May 1826 – 18 September 1872) was King of Sweden and King of Norway, there often referred to as Charles IV, from 8 July 1859 until his death in 1872. Charles was the third Swedish monarch from the House of Bernadotte. He was the first one to be born in Sweden, the first to grow up speaking Swedish as his first language, and the first to be raised from birth in the Lutheran faith.

Louis Gerhard De Geer
Baron Louis Gerard De Geer af Finspång (18 July 1818 – 24 September 1896) was a Swedish statesman, lawyer, and writer who served as the first Prime Minister of Sweden from 1876 to 1880. He previously served as Prime Minister for Justice from 1858 to 1870.  De Geer was the principal architect of the 1865 representation reform, replacing the Riksdag of the Estates with a bicameral parliament and playing a pivotal role in modernizing Swedish politics.
Lupinus
Lupinus, commonly known as lupin, lupine, or regionally bluebonnet, is a genus of plants in the legume family Fabaceae. The genus includes over 199 species, with centres of diversity in North and South America. Smaller centres occur in North Africa and the Mediterranean. They are widely cultivated both as a food source and as ornamental plants, but are invasive to some areas. For instance, lupine has become an ecological problem in Iceland since the beginning of the 21st century.

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.
Tau2 Eridani
Tau2 Eridani (τ2 Eridani, abbreviated Tau2 Eri, τ2 Eri), formally named Angetenar /æŋˈɡɛtənɑːr/, is a star in the constellation of Eridanus. It is visible to the naked eye with an apparent visual magnitude of 4.78. The distance to this star, as determined via the parallax method, is around 187 light-years.

Tau6 Eridani
Tau6 Eridani, Latinized from τ6 Eridani, is a single star in the equatorial constellation of Eridanus, located near the constellation border with Fornax. It has a yellow-white hue with an apparent visual magnitude of 4.22, which is bright enough to be seen with the naked eye. Based upon parallax measurements, the distance to this star is around 57.5 light years. It is drifting further away with a radial velocity of +8 km/s.

The spectrum of Tau6 Eridani matches a stellar classification of F5IV-V, indicating it is an F-type star that shows traits of both a main sequence star and a subgiant. It has an estimated 140% of the Sun's mass and 1.73 times the radius of the Sun. The star is radiating 5.29 times the luminosity of the Sun at an effective temperature of 6,651 K, and it does not display any surface magnetic activity. The star has been examined for infrared excess emission that could indicate the presence of circumstellar matter, but none has been detected.
Tyous Team of Commandos
The Tyous Team of Commandos – TTC (Arabic: فريق التيوس من المغاوير| Fariq Tyous min' al-Maghawir) or simply Tyous for short ('Tyous' means 'Male Goat' in Arabic, also translated as the "Stubborn Ones"; "Les Têtus", "Les Obstinés" in French), was a small Christian militia which fought in the 1975–78 phase of the Lebanese Civil War.

Army of Free Lebanon
The Army of Free Lebanon – AFL (Arabic: جيش لبنان الحر, romanized: Jayish Lubnan al-Horr), also known variously as the Colonel Barakat's Army (Arabic: جيش بركات, romanized: Jayish Barakat) or Armée du Liban Libre (ALL) and Armée du Colonel Barakat in French, was a predominantly Christian splinter faction of the Lebanese Army that came to play a major role in the 1975–77 phase of the Lebanese Civil War.
Robert Smithson
Robert Smithson (January 2, 1938 – July 20, 1973) was an American artist known for sculpture and land art who often used drawing and photography in relation to the spatial arts. His work has been internationally exhibited in galleries and museums and is held in public collections. He was one of the founders of the land art movement whose best known work is the Spiral Jetty (1970).

Walter De Maria
Walter Joseph De Maria (October 1, 1935 – July 25, 2013) was an American artist, sculptor, illustrator and composer, who lived and worked in New York City. Walter de Maria's artistic practice is connected with minimal art, conceptual art, and land art of the 1960s.

LACMA director Michael Govan said, "I think he's one of the greatest artists of our time." Govan, who worked with De Maria for a number of years, found De Maria's work "singular, sublime and direct".