hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Split-complex number
In algebra, a split-complex number (or hyperbolic number, also perplex number, double number) is based on a hyperbolic unit j satisfying , where . A split-complex number has two real number components x and y, and is written  The conjugate of z is  Since  the product of a number z with its conjugate is  an isotropic quadratic form.

The collection D of all split-complex numbers  for ⁠⁠ forms an algebra over the field of real numbers.  Two split-complex numbers w and z have a product wz that satisfies   This composition of N over the algebra product makes (D, +, ×, *) a composition algebra.

A similar algebra based on ⁠⁠ and component-wise operations of addition and multiplication, ⁠⁠ where xy is the quadratic form on ⁠⁠ also forms a quadratic space. The ring isomorphism

is an isometry of quadratic spaces.

Split-complex numbers have many other names; see § Synonyms below. See the article Motor variable for functions of a split-complex number.

Composition algebra
In mathematics, a composition algebra A over a field K is a not necessarily associative algebra over K together with a nondegenerate quadratic form N that satisfies

for all x and y in A.

A composition algebra includes an involution called a conjugation:  The quadratic form  is called the norm of the algebra.

A composition algebra (A, ∗, N) is either a division algebra or a split algebra, depending on the existence of a non-zero v in A such that N(v) = 0, called a null vector. When x is not a null vector, the multiplicative inverse of x is . When there is a non-zero null vector, N is an isotropic quadratic form, and "the algebra splits".
Shooting at the 1960 Summer Olympics – Men's 25 metre rapid fire pistol
The men's ISSF 25 meter rapid fire pistol was a shooting sports event held as part of the Shooting at the 1960 Summer Olympics programme. It was the 11th appearance of the event. The competition was held on 8 and 9 September 1960 at the shooting ranges in Rome. 57 shooters from 35 nations competed. Nations had been limited to two shooters each since the 1952 Games. The event was won by William McMillan of the United States, the nation's first victory in the event since 1924 and third overall (most of any nation). Silver went to Pentti Linnosvuo of Finland, similarly taking his nation's first medal since 1924. Aleksandr Zabelin of the Soviet Union earned bronze. The three men had tied for first after the main round of 60 shots and had required a three-way shoot-off to determine the medals.

Aleksandr Zabelin
Aleksandr Nikolayevich Zabelin (Russian: Александр Николаевич Забелин; born 6 December 1931) is a Russian former sport shooter who competed in the 1960 Summer Olympics and in the 1964 Summer Olympics. He won the bronze medal in the 25m pistol event at the 1960 Summer Olympics.
Drammen District Court
Drammen District Court (Norwegian: Drammen tingrett) was a district court in southeastern Buskerud and northeastern Vestfold counties in Norway. The court was based in Drammen. The court existed until 2021. It had jurisdiction over the municipalities of Drammen, Lier, Sande, and Svelvik. Cases from this court could be appealed to Borgarting Court of Appeal.

The court was a court of first instance. Its judicial duties were mainly to settle criminal cases and to resolve civil litigation as well as bankruptcy. The administration and registration tasks of the court included death registration, issuing certain certificates, performing duties of a notary public, and officiating civil wedding ceremonies. Cases from this court were heard by a combination of professional judges and lay judges.

Svelvik Municipality
Svelvikⓘ [ˈsvæ̀ɽviːk] is a former municipality in Vestfold county, Norway. The 58-square-kilometre (22 sq mi) municipality existed from 1845 until its dissolution in 2020. The area is now part of Drammen Municipality in Buskerud county. The administrative centre was the town of Svelvik. The other population centres in Svelvik included Nesbygda and Berger.
Lavaca County, Texas
Lavaca County (/ləˈvɑːkə/ ⓘ lə-VAH-kə) is a county located in the U.S. state of Texas. As of the 2020 census, its population was 20,337. Its county seat is Hallettsville. The county was created in 1846. It is named for the Lavaca River, which curves its way southeast through Moulton and Hallettsville before reaching the coast at Matagorda Bay.

Hallettsville, Texas
Hallettsville is a city in Lavaca County, Texas, United States. Its population was 2,731 at the 2020 census. It is the county seat of Lavaca County. Hallettsville also has a sizable German-Texan population, as the town founders were mainly German and Czech immigrants.
I Putu Sukreta Suranta
I Putu Sukreta Suranta (11 April 1938 – 16 September 2022) was a high-level commander in Indonesia's army and a major figure in Parisada Hindu Dharma, he is also top figure of Pangestu (Paguyuban Ngesti Tunggal).

Parisada Hindu Dharma Indonesia
Parisada Hindu Dharma Indonesia (Indonesian Hindu Dharma Society) is a major reform movement and organization that assisted in maintaining recognition of Balinese Hinduism  and the revival of Hinduism in Indonesia. It was started in 1959 by Ida Bagus Mantra and led by Gedong Bagus Oka.
Bucky (Marvel Comics)
Bucky is the name used by several different fictional characters appearing in American comic books published by Marvel Comics, usually as a sidekick to Captain America. The original version was created by Joe Simon and Jack Kirby and first appeared in Captain America Comics #1 (cover-dated March 1941), which was published by Marvel's predecessor, Timely Comics. Following the apparent death of the hero James "Bucky" Barnes, the Bucky nickname and costume (or one based on the uniform used by Barnes) have been used by various heroes, including Fred Davis, Jack Monroe, Rick Jones, Lemar Hoskins, and Rikki Barnes. For a time, a child looked after by Jack Monroe was named "Bucky," but she was later adopted and given the name Julia Winters.

Patriot (Marvel Comics)
Patriot is the name of several superheroes appearing in American comic books published by Marvel Comics. The first incarnation of Patriot, Jeffrey Mace, first appeared in Human Torch Comics #4 (March 1941). The second incarnation, Eli Bradley, debuted in Young Avengers #1 (April 2005). The third incarnation, Rayshaun Lucas, made his first appearance in Captain America: Sam Wilson #18 (January 2017).
Doug Phillips (speaker)
Douglas Winston Phillips (born 1965) is an American Christian author, speaker, attorney, and homeschooling advocate who was once president of the now-defunct Vision Forum Ministries until he resigned due to an inappropriate relationship and allegations of sexual abuse. He advocates biblical patriarchy, young Earth creationism, homeschooling, the Quiverfull movement, and the family integrated church.

Vision Forum
Vision Forum was an evangelical Christian organization based in San Antonio, Texas. It was founded in 1998; its president was Doug Phillips, son of U.S. Constitution Party leader Howard Phillips. Vision Forum Ministries was a 501(c) non-profit organization which was closed by its board of directors in November 2013 after Doug Phillips' confession of marital infidelity and allegations of sexual abuse. The associated commercial operation, called Vision Forum, Inc., continued to operate until January 2014, when it was announced that it too was shutting down operations. Vision Forum advocated for biblical patriarchy, creationism, homeschooling, Family Integrated Churches, and Quiverfull beliefs.
Rural City of Wangaratta
The Rural City of Wangaratta is a local government area in the Hume region of Victoria, Australia, located in the north-east part of the state. It covers an area of 3,645 square kilometres (1,407 sq mi) and, in August 2021, had a population of 29,808. It includes the towns of Cheshunt, Eldorado, Everton, Glenrowan, Greta, Greta West, Milawa, Moyhu, Oxley, Tarrawingee, Wangaratta and Whitfield. When formed the municipality was originally called the Shire of Milawa, but a few months later, was renamed to its current name.

The Rural City is governed and administered by the Wangaratta Rural City Council; its seat of local government and administrative centre is located at the council headquarters in Wangaratta. The Rural City is named after the main urban settlement located in the north of the LGA, that is Wangaratta, which is also the LGA's most populous urban centre with a population of around 18,500.

Glenrowan, Victoria
Glenrowan is a town located in the Wangaratta local government area of Victoria, Australia. It is 236 kilometres north-east of Melbourne and 14 kilometres from Wangaratta and near the Warby Ranges and Mount Glenrowan. At the 2021 census, Glenrowan had a population of 1,049.
NForce 600
The nForce 600 chipset was released in the first half of November 2006, coinciding with the GeForce 8 series launch on November 8, 2006. The nForce 600 supports  Intel's LGA 775 socket and AMD's Quad FX platform and replaces the nForce 500 series.

AMD Quad FX platform
The AMD Quad FX platform is an AMD platform targeted at enthusiasts which allows users to plug two Socket F Athlon 64 FX or 2-way Opteron processors (CPUs) into a single motherboard for a total of four physical cores. This is a type of dual processor setup, where two CPUs are installed on a motherboard to increase computing power. The major difference between the platform and past dual processor systems like Xeon (pre Intel 5000X/P chipset) is that each processor has its own dedicated memory stores. The Quad FX platform also has HyperTransport capability targeted toward consumer platforms.

In May 2007, AMD officially codenamed the eight core setup with two Phenom FX processors to be the FASN8 (pronounced as "fascinate", /ˈfæsɪneɪt/, in short for First AMD Silicon Next-gen 8-core Platform) from the previous codename "4x4+" used in Analyst Day presentations.
Darejan Dadiani
Darejan Dadiani (Georgian: დარეჯანი), also known as Daria (Georgian: დარია; Russian: Дарья Георгиевна, romanized: Darya Georgyevna) (20 July 1738 – 8 November 1807), was Queen Consort of Kakheti, and later Kartli-Kakheti in Eastern Georgia, as the third wife of King Heraclius II of Georgia. She was a daughter of Katsia-Giorgi Dadiani, a member of the princely house of Mingrelia. Darajan married Heraclius in 1750 and their marriage lasted 48 years until his death in 1798; the union produced 23 children. In the final years of her husband's reign, Darejan exerted significant influence on politics and court affairs. She was skeptical of the pro-Russian policies of Heraclius II and his successor, her step-son, George XII, whose progeny she tried to prevent from succeeding to the throne of Georgia. After the Russian annexation of Georgia, Queen Dowager Darejan was deported to Russia proper in 1803. She died in Saint Petersburg at the age of 69 and was buried at the Alexander Nevsky Lavra.

Princess Helen of Georgia
Elene (Georgian: ელენე; 1753 – 17 June 1786) was a Georgian princess royal (batonishvili), a daughter of Heraclius II, King of Kartli and Kakheti. She was the mother of Solomon II of Imereti, the last king to have reigned in the Georgian polities.
Elvis and Me
Elvis and Me: The True Story of the Love Between Priscilla Presley and the King of Rock N' Roll is a 1985 memoir written by Priscilla Presley, with Sandra Harmon. In the book, Priscilla talks about meeting Elvis Presley, their marriage, and the factors and issues that led to the couple's divorce.

The book adaptation rights were purchased in 1987. In 1988, the book was adapted into the two-part ABC miniseries Elvis and Me, written by Joyce Eliason and directed by Larry Peerce; it stars Dale Midkiff as Elvis and Susan Walters as Priscilla. In 2023, a film adaptation, Priscilla, written and directed by Sofia Coppola, was released; Priscilla executive produced the film, and Cailee Spaeny stars in the title role, alongside Jacob Elordi as Elvis.

Elvis and Me (miniseries)
Elvis and Me is a 1988 American two-part television miniseries directed by Larry Peerce, and adapted by Joyce Eliason from the 1985 memoir of the same name by Priscilla Presley. It stars Susan Walters as Priscilla, and Dale Midkiff as Elvis Presley.

Elvis and Me aired on ABC on February 7–8, 1988. The first part of the miniseries was ranked the week's fifth most-watched program, as well as ABC's highest-rated television film of the season. Following the airing of the second part, Elvis and Me was ranked as ABC's second highest-rated miniseries ever broadcast, behind Lace (1984).
Nathalie Tauziat
Nathalie Tauziat (born 17 October 1967) is a French former professional tennis player and coach. She was the runner-up in women's singles at the 1998 Wimbledon Championships and runner-up in the women's doubles at the 2001 US Open partnering  Kimberly Po-Messerli. She reached a career-high ranking of world No. 3 in both singles and doubles.

She previously coached Canadian tennis player Bianca Andreescu and compatriot Harmony Tan, and currently coaches Victoria Mboko.

Kimberly Po
Kimberly Po (born October 20, 1971) is a former professional tennis player from the United States.

In her career, she won the mixed doubles title at Wimbledon in 2000, partnering Donald Johnson. She also was a runner-up at the US Open in women's doubles in 2001, partnering Nathalie Tauziat, as well as at the 1999 US Open in mixed doubles, with Johnson. She has also been elected for the UCLA hall of fame in 2025

Po won six top-level doubles titles. Her career-high world rankings were world No. 6 in doubles (in 2001) and No. 14 in singles (in 1997). Her best singles performance at a Grand Slam event came at the 1997 Australian Open when she reached the quarterfinals before being knocked out by Amanda Coetzer.

Po married Oliver Messerli in 2001, and was known thereafter as Kimberly Po-Messerli.
Paribal Shallabugh
Paribal or Paribal Shallabugh (Kashmiri: پَرٕ بَل شالہٕ بۆگ) is a small notified village and locality forming part of the tourist village of Shallabugh. It is situated between the villages of Shallabugh, Chundina Deh Nowabad, and Takenwaripora in the Sherpathri block of Tulmulla tehsil, Ganderbal district, in the Kashmir Valley of the Union Territory of Jammu and Kashmir India.

Sherpathri
Sherpathri or Shairpather (شیر پٔتھر) is one of the Blocks in District Ganderbal, Jammu and Kashmir, India. It was formed in 2014 by the J&K Govt and is located 5 km from the main town. It is one of 7 Blocks in the Ganderbal District. Sherpathri Consists of 5 Halqas: Gogjigund, Sehpora, Rabitar, Shallabugh and Hakim Gund. Mr. Rafeeq Ahmad Wani is currently the Naib Tehsildar Sherpathri.
Cameron Menzies
Cameron Menzies (born 27 June 1989) is a Scottish professional darts player who competes in Professional Darts Corporation (PDC) events, where he is ranked world number twenty-nine. A PDC Tour Card holder since 2022, Menzies has won two Players Championship titles. He is a two-time PDC major quarter-finalist, reaching the last eight at the 2024 Grand Slam and the 2025 World Grand Prix.

Menzies previously participated in British Darts Organisation (BDO) and World Darts Federation (WDF) events. He reached the semi-finals at the 2017 World Masters and the 2022 Lakeside World Championship.

2024 Grand Slam of Darts
The 2024 Grand Slam of Darts (known for sponsorship reasons as the 2024 Mr Vegas Grand Slam of Darts) was a professional darts tournament that was held at Aldersley Leisure Village in Wolverhampton, England from 9–17 November 2024. It was the eighteenth staging of the Grand Slam of Darts organised by the Professional Darts Corporation.

Luke Humphries was the defending champion, having defeated Rob Cross 16–8 in the 2023 final. He was eliminated in the group stage, after losing his first two matches. Michael van Gerwen was eliminated in the group stage for the first time since 2010, while 2022 champion Michael Smith was also unable to qualify from his group, meaning all former champions present at the tournament were eliminated before the knockout stage.

Luke Littler won the tournament, defeating Martin Lukeman 16–3 in the final for his first ranking major title.
Pennsylvania Route 153
Pennsylvania Route 153 (PA 153) is a 48.7-mile-long (78.4 km) state highway located in Clearfield and Elk counties in Pennsylvania. The southern terminus is at PA 253/PA 453 near Viola.  The northern terminus is at U.S. Route 219 (US 219) near Brockport.

Clearfield County, Pennsylvania
Clearfield County is a county in the Commonwealth of Pennsylvania. As of the 2020 census, the population was 80,562. The county seat is Clearfield, and the largest city is DuBois. The county was created in 1804 and later organized in 1822.

Clearfield County comprises the DuBois, PA Micropolitan Statistical Area, which is also included in the State College–DuBois, PA Combined Statistical Area. The county is part of the North Central region of the commonwealth.
How to Be a Woman
How to Be a Woman is a 2011 non-fiction memoir by British writer Caitlin Moran. The book documents Moran's early life (from teens until mid-thirties) including her views on feminism. As of July 2014, it had sold over a million copies.

Caitlin Moran
Catherine Elizabeth Moran (/ˈkætlɪn məˈræn/ KAT-lin mə-RAN; born 5 April 1975) is an English journalist, broadcaster, and author at The Times, where she writes two columns a week: one for the Saturday Magazine, and the satirical Friday column "Celebrity Watch".

Moran was named British Press Awards (BPA) Columnist of the Year for 2010, and both BPA Critic of the Year 2011 and Interviewer of the Year 2011. In 2012, she was named Columnist of the Year by the London Press Club, and Culture Commentator at the Comment Awards in 2013.
Parc of the Kabir Kouba Cliff and Waterfall
The Park of the Kabir Kouba Cliff and Waterfall is a public park in Quebec City, Quebec crossed by the Saint-Charles River. The rapids and falls of this section of the river are called Kabir Kouba the "river of a thousand bends" in the Montagnais language. An interpretive center and trails permit the observation of the Kabir Kouba waterfall that has a height of 28 metres. The trails also provide a view of the canyon which at its highest point measures 42 metres as well as a rich variety of flora, fauna and fossils dating over 455 million years old. The interpretive center also offers services such as Kabir Kouba by Lantern, A Day at Loretteville package as well as guided visits of the falls. A song by the singer Claire Pelletier, Kabir Kouba, evoques the many Huron legends that honour the river and the waterfall.

Saint-Charles River (Quebec City)
The Saint-Charles River (Wendat: Akiawenrahk) is the main watercourse crossing Quebec City, Quebec, Canada.

The surface of the Saint-Charles River (except the rapids areas) is generally frozen from the beginning of December to the end of March; however, safe circulation on the ice is generally done from the end of December to the beginning of March. The water level of the river varies with the seasons and the precipitation; the spring flood occurs in March or April.
Alabama Department of Corrections
The Alabama Department of Corrections (ADOC) is the agency responsible for incarceration of convicted felons in the state of Alabama in the United States. It is headquartered in the Alabama Criminal Justice Center in Montgomery.

Alabama has relatively long mandatory sentencing laws compared to most other states, resulting in a rising prison population stemming from longer prison sentences. It operates the nation's most crowded prison system. In 2015 it housed more than 24,000 inmates in a system designed for 13,318. In 2015 it settled a class-action suit over physical and sexual violence against inmates at the Julia Tutwiler Prison for Women in Wetumpka. The department also spends the least of any state on a per-prisoner basis.

As of 2018, Alabama has the 6th highest incarceration rate under state prison or local jail jurisdiction per 100,000 population in the U.S.

Julia Tutwiler Prison for Women
The Julia Tutwiler Prison for Women is a prison for women of the Alabama Department of Corrections (ADOC), located in Wetumpka, Alabama named after prison reform activist Julia Tutwiler. All female inmates entering ADOC are sent to the receiving unit in Tutwiler. Tutwiler houses Alabama's female death row, which qualifies it for the "maximum security" classification.
Yang Chen-Ning
Yang Chen-Ning (simplified Chinese: 杨振宁; traditional Chinese: 楊振寧; pinyin: Yáng Zhènníng; October 1, 1922 – October 18, 2025) also known as C.N. Yang and Franklin Yang, was a Chinese-American theoretical physicist who made significant contributions to statistical mechanics, integrable systems, gauge theory, particle physics and condensed matter physics.

Yang is known for his collaboration with Robert Mills in 1954 in developing non-abelian gauge theory, widely known as the Yang–Mills theory, which describes the nuclear forces in the Standard Model of particle physics.

Yang and Tsung-Dao Lee received the 1957 Nobel Prize in Physics for their work on parity non-conservation of the weak interaction, which was confirmed by the Wu experiment in 1956. The two proposed that the conservation of parity, a physical law observed to hold in all other physical processes, is violated in weak nuclear reactions – those nuclear processes that result in the emission of beta or alpha particles.

Wang Zhuxi
Wang Zhuxi (Chinese: 王竹溪; Pinyin: Wáng Zhúxī; June 7, 1911 - January 30, 1983), also known as J. S. Wang, who had the given name Zhiqi (治淇) and the sobriquet Zhuxi, was a Chinese physicist, philologist, and writer.
Dongying
Dongying (simplified Chinese: 东营; traditional Chinese: 東營; pinyin: Dōngyíng), is a prefecture-level city on the northern (Bohai Sea) coast of Shandong province, People's Republic of China. As of the 2020 census, 2,193,518 people resided within its administrative area of 7,923.26 km2 (3,059.19 sq mi) and 1,188,656 in the built-up area made up of Dongying and Kenli districts. Dongying is home to the Shengli Oilfield, which after the Daqing oilfield is the second largest oilfield in China.

Shengli Oil Field
The Shengli Oil Field (simplified Chinese: 胜利油田; traditional Chinese: 勝利油田; pinyin: Shènglì Yóutián; lit. 'Victory Oil Field') is the second-largest oil field in China. Located in the delta of the Yellow River, it was discovered in 1961, and oil production began in earnest in 1964. Oil output quickly increased, peaking in 1991 at 33.55 million tons. While output has decreased since then, enhanced oil recovery techniques have maintained oil production at high levels, producing around 650,000 barrels (103,000 m3) per day.

The Shengli Oil Field Company is a subsidiary of Sinopec. The oil field also produces natural gas, and activities have recently expanded into shale oil, solar power, and wind power. The development of the oil fields was an important contributor to the economy of the local area, playing a role in the establishment of the city of Dongying in 1983. The activities of the oil industry have damaged the local wetland areas, and contributed to local pollution.