hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
McKay conjecture
In mathematics, specifically in the field of group theory, the McKay conjecture is a theorem of equality between two numbers: the number of irreducible complex characters of degree not divisible by a prime number  for a given finite group and the same number for the normalizer in that group of a Sylow -subgroup.

It is named after the Canadian mathematician John McKay, who originally stated a limited version of it as a conjecture in 1971, for the special case of  and simple groups. The conjecture was later generalized by other mathematicians to a more general conjecture for any prime value of  and more general groups.

In 2023, a proof of the general conjecture was announced by Britta Späth and Marc Cabanes.

Conjecture
In mathematics, a conjecture is a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis or Fermat's conjecture (now a theorem, proven in 1995 by Andrew Wiles), have shaped much of mathematical history as new areas of mathematics are developed in order to prove them.
Bunour railway station
Bunour railway station is an abandoned railway station on the Pinkenba railway line on the boundary between the suburbs of Eagle Farm and Pinkenba in the City of Brisbane, Queensland, Australia. The station is 8.1 kilometres (5.0 mi) from the Brisbane central business district and 12.4 kilometres (7.7 mi) from Central station by rail. It opened in 1949 and closed on 27 September 1993.

The name is derived from the Aboriginal name for the black and white Australian white ibis bird.

Central railway station, Brisbane
Central railway station is located on the North Coast line in Queensland, Australia. It is the principal station on the City network and is located in the north of the Brisbane central business district. Central station is one of four inner city stations that form a core corridor through the centre of Brisbane.
Jonas M. Platt
Jonas Mansfield Platt (September 21, 1919 – July 28, 2000) was highly decorated officer in the United States Marine Corps with the rank of major general. A veteran of three wars, Platt is most noted for his service during Vietnam War as assistant division commander, 3rd Marine Division and commander of Task Force Delta. He was also a member of so-called "Chowder Society", special Marine Corps Board, which was tasked to conduct research and prepare material relative to postwar legislation concerning the role of the Marine Corps in national defense.

3rd Battalion, 1st Marines
3rd Battalion, 1st Marines (3/1) is an infantry battalion in the United States Marine Corps based out of Camp Horno on Marine Corps Base Camp Pendleton, California.  Nicknamed the "Thundering Third", the battalion consists of approximately 1,200 Marines and Sailors and falls under the command of the 1st Marine Regiment and the 1st Marine Division.
Kinzig Pass
The Kinzig Pass or Chinzig Pass or Chinzig Chulm (German: Kinzigpass) is a high mountain pass in the Schwyz Alps of Central Switzerland. The trail across the pass reaches a maximum elevation of 2,073 metres (6,801 ft). During the War of the Second Coalition, the Allied army of Alexander Suvorov marched across the pass.

Central Switzerland
Central Switzerland is a subdivision of Switzerland as defined by the Federal Statistical Office for statistical purposes. It is classified as a NUTS-2 statistical region of Switzerland, and encompasses the cantons of Uri, Schwyz, Obwalden, Nidwalden, Lucerne and Zug. It incorporates the highlands in the central portion of the country.
European green toad
The European green toad (Bufotes viridis) is a species of true toad found in steppes, mountainous areas, semi-deserts, urban areas and other habitats in mainland Europe, ranging from far eastern France and Denmark to the Balkans, Western Russia and the Caucasus. As historically defined, the species ranged east through the Middle East and Central Asia to western China, Mongolia and northwestern India, and south through Italy and the Mediterranean islands to North Africa.

Following genetic and morphological reviews, 14 populations (all largely or entirely Asian, except for the African and Balearic green toads) are now regarded as separate species. These species and the European green toad are placed in their own genus Bufotes, but they were included in Bufo.

True toad
A true toad is any member of the family Bufonidae, in the order Anura (frogs and toads). This is the only family of anurans in which all members are known as toads, although some may be called frogs (such as harlequin frogs). The bufonids now comprise more than 35 genera, Bufo being the best known.
Dalian Road station
Dalian Road (simplified Chinese: 大连路; traditional Chinese: 大連路; pinyin: Dàlián Lù) is an interchange station between Line 4 and Line 12 of the Shanghai Metro. Service began on Line 4 on 31 December 2005, while the interchange with Line 12 opened on 29 December 2013 with the initial, eastern section of that line from Tiantong Road to Jinhai Road.

Shanghai Metro
The Shanghai Metro (Chinese: 上海地铁; pinyin: Shànghǎi Dìtiě; Shanghainese: Zaon6he5 Di6thiq7) is a rapid transit system in Shanghai, operating urban and suburban transit services to 14 of its 16 municipal districts and to the neighboring township of Huaqiao, in Kunshan, Jiangsu Province.

Forming the vast majority of the broader, multi-operator Shanghai rail transit network, the Shanghai Metro system is the world's second longest metro system by route length, totaling 808 kilometres (502 mi) and the second largest system by number of stations, with 506 stations across 19 lines (408, if stations connected by transfers are counted as single stations). It also ranks first in the world by annual ridership, with 3.88 billion rides delivered in 2019. The last daily ridership record was set on 9 March 2024, at 13.39 million rides. Ridership routinely stands at over 10 million on an average workday, accounting for 73% of trips on public transport in the city.
William Brownrigg
William Brownrigg (24 March 1712 [O.S. 13 March 1711] – 6 January 1800) was an English physician and scientist who practised at Whitehaven in Cumberland. While there, Brownrigg carried out experiments that earned him the Copley Medal in 1766 for his work on carbonic acid gas. He was the first person to recognise platinum as a new element.

He was created a Fellow of the Royal Society.

Cumberland
Cumberland (/ˈkʌmbərlənd/ KUM-bər-lənd) is an area of North West England which was historically a county. The county was bordered by Northumberland to the north-east, County Durham to the east, Westmorland to the south-east, Lancashire to the south, and the Scottish counties of Dumfriesshire and Roxburghshire to the north. The county included the city of Carlisle, part of the Lake District and North Pennines, and the Solway Firth coastline.

Cumberland had an administrative function from the 12th century until 1974, when it was subsumed into Cumbria with Westmorland as well as parts of Yorkshire and Lancashire. It gives its name to the unitary authority area of Cumberland, which has similar boundaries but excludes Penrith.
1869 Town of New Plymouth by-election
The 1869 Town of New Plymouth by-election was a by-election held  on 28 April 1869 in the Town of New Plymouth electorate during the 4th New Zealand Parliament.

The by-election was caused by the resignation of the incumbent, Harry Atkinson on 18 March 1869.

He was replaced by Thomas Kelly.

This by-election required a poll, unlike previous by-elections in the Town of New Plymouth (1862 by-election, 1863 by-election, 1864 by-election, 1865 by-election and 1867 by-election) when the sole candidate was unopposed and was declared the winner without a show of hands or poll.

Frederic Carrington, who came second, was described as the Father of New Plymouth.

After the returning officer had declared the result of the poll, the candidate Mr Upjohn asked if he could have the names of the 15 people who voted for him; the returning officer said he would have to ask for permission from the Government.

Harry Atkinson
Sir Harry Albert Atkinson KCMG (1 November 1831 – 28 June 1892) served as the tenth premier of New Zealand on four occasions in the late 19th century, and was Colonial Treasurer for a total of ten years. He was responsible for guiding the country during a time of economic depression, and was known as a cautious and prudent manager of government finances, though distrusted for some policies such as his 1882 National Insurance (welfare) scheme and leasehold land schemes. He also participated in the formation of voluntary military units to fight in the New Zealand Wars, and was noted for his strong belief in the need for seizure of Māori land.
Edayur chilli
The Edayur chilli is a variety of chilli mainly grown in the Indian state of Kerala. The Edayur chilli is a local cultivar primarily grown in specific regions of Kerala's Malappuram district. Specifically, it is cultivated in the panchayaths of Edayur, Athavanad, Marakkara, Irimbiliyam, Kalpakanchery, and Valanchery within the Valanchery block, as well as Moorkanad and Kuruva panchayaths within the Angadippuram block.

Kalpakanchery
Kalpakanchery  is a town and a Gram Panchayat in Tirur Taluk, Malappuram district, Kerala, India. The town is located 8 kilometres (5.0 mi) east of Tirur and 21 kilometres (13 mi) south-west of Malappuram.

Kadungathukundu, Puthanathani, Kurukathani, and Randathani are four major towns within Kalpakanchery.  The National Highway 66 passes through the town. The town is a centre of academic institutions and other offices. There are several educational institutions, healthcare institutions, two industrial training centres, Kalpakanchery police station, Bafakhy Yatheem Khana (orphanage), post office, Kalpakanchery Sub-registrar Office, and Kalpakanchery Panchayat Office in the town. The town historically had a weekly market on Tuesdays known as Melangadi Chantha. The weekly market was held at present-day Melangadi, between Puthanathani and Kadungathukundu. The municipal towns of Tirur, Kottakkal, and Valanchery are just within 8 or 9 kilometres (5.0 or 5.6 mi) from here.
Netjerkare Siptah
Netjerkare Siptah (also Neitiqerty Siptah and possibly the origin of the legendary figure Nitocris) was an ancient Egyptian pharaoh, the seventh and last ruler of the Sixth Dynasty. Alternatively some scholars classify him as the first king of the Seventh or Eighth Dynasty. As the last king of the 6th Dynasty, Netjerkare Siptah is considered by some Egyptologists to be the last king of the Old Kingdom period.

Netjerkare Siptah enjoyed a short reign in the early 22nd century BC, at a time when the power of the pharaoh was crumbling and that of the local nomarchs was on the rise. Although he was male, Netjerkare Siptah is most likely the same person as the female ruler Nitocris mentioned by Herodotus and Manetho.

Nomarch
A nomarch (Ancient Greek: νομάρχης, Ancient Egyptian: ḥrj tp ꜥꜣ Great Chief) was a provincial governor in ancient Egypt; the country was divided into 42 provinces, called nomes (singular spꜣ.t, plural spꜣ.wt). A nomarch was the government official responsible for a nome. More recent studies are more cautious about using this term as it is a Greek word that does not exactly match Ancient Egyptian administrative titles and modern scholars often prefer other, more neutral words for describing the heads of the provinces, such as governor.
January 6 (Eastern Orthodox liturgics)
January 5 - Eastern Orthodox liturgical calendar - January 7

All fixed commemorations below are observed on January 19 by Eastern Orthodox Churches on the Old Calendar.

For January 6th, Orthodox Churches on the Old Calendar commemorate the Saints listed on December 24.

Eastern Orthodox liturgical calendar
The Eastern Orthodox liturgical calendar describes and dictates the rhythm of the life of the Eastern Orthodox Church. Passages of Holy Scripture, saints and events for commemoration are associated with each date, as are many times special rules for fasting or feasting that correspond to the day of the week or time of year in relationship to the major feast days.

There are two types of feasts in the Orthodox Church calendar: fixed and movable. Fixed feasts occur on the same calendar day every year, whereas movable feasts change each year. The moveable feasts are generally relative to Pascha (Easter), and so the cycle of moveable feasts is referred to as the Paschal cycle.
Santhana Krishnan Ravichandran
Santhana Krishnan Ravichandran is an Indian cinematographer who predominantly works in the Hindi film industry. His debut film Two Countries (2015) was in Malayalam, directed by Shafi and Bollywood debut with Tiger Shroff's Baaghi 2 (2018).

Shafi (director)
Rasheed M. H. (18 February 1968 – 26 January 2025), known professionally as Shafi, was an Indian film director who worked in Malayalam cinema, best known for directing comedy films. He has also directed a Tamil film. Shafi made his directorial debut with One Man Show in 2001. Rafi of the Rafi Mecartin duo is his elder brother. Director Siddique is their uncle. Shafi started his film career in the mid-1990s by assisting director Rajasenan and the Rafi Mecartin duo.
In This Life (Delta Goodrem song)
"In This Life" is a song by Australian singer-songwriter Delta Goodrem. It was released as the first single from her third album Delta. The song was written by Goodrem, Brian McFadden, Stuart Crichton, and Tommy Lee James and was produced by John Shanks. According to an article in the Herald Sun, the song is "a more guitar-driven vibe and updates Goodrem's sound."

The song was released on Australian radio on 28 August 2007 and had a physical release through CD and digital download on 17 September 2007. It was also released as the first single in the United States on 15 April 2008.

John Shanks
John Matthew Shanks (born December 18, 1964) is an American songwriter, record producer, and guitarist. He has been the rhythm guitarist of the rock band Bon Jovi since 2024, having served as a producer and session and touring musician for the band for several years prior.
Josef Stoer
Josef Stoer (born 21 June 1934) is a German mathematician specializing in numerical analysis and professor emeritus of the Institut für Mathematik of Universität Würzburg.

Stoer was born in Meschede, and earned his Ph.D. in 1961 at Johannes Gutenberg-Universität Mainz under Friedrich Ludwig Bauer and Klaus Samelson. He has advised over 20 doctoral students.

He is the author (with Roland Bulirsch) of Introduction to Numerical Analysis, a standard reference for the theory of numerical methods. He has an honorary doctorate from the University of Augsburg (2007) and the Technical University of Munich (1997) and is a member of the Bavarian Academy of Sciences (1981). The Bulirsch–Stoer algorithm is named after him and Roland Bulirsch.

Klaus Samelson
Klaus Samelson (21 December 1918 – 25 May 1980) was a German mathematician, physicist, and computer pioneer in the area of programming language translation and push-pop stack algorithms for sequential formula translation on computers.
Dalekmania
Dalekmania is a 1995 British direct-to-video documentary film about the 1960s Doctor Who film adaptations Dr. Who and the Daleks and Daleks' Invasion Earth 2150 A.D. In 1960s Britain, "Dalekmania" was the name given to the craze or "mania" among children for all things associated with the Daleks, recurring villains on Doctor Who. The documentary was directed by Kevin Davies.

Fad
A fad, trend, or craze is any form of collective behavior that develops within a culture, a generation, or social group in which a group of people enthusiastically follow an impulse for a short time period.

Fads are products or behaviors that achieve short-lived popularity but fade away. Fads are often seen as sudden, quick-spreading, and short-lived events. Fads include diets, clothing, hairstyles, toys, and more. Some fads in the last hundred years include toys such as yo-yos, and hula hoops, and fad dances such as the Macarena, floss and the twist.

Similar to habits or customs but less durable, fads often result from an activity or behavior being perceived as popular or exciting within a peer group, or being deemed "cool" as often promoted by social networks. A fad is said to "catch on" when the number of people adopting it begins to increase to the point of being noteworthy or going viral. Fads often fade quickly when the perception of novelty is gone.
Haibara, Nara
Haibara (榛原町, Haibara-chō) was a town located in Uda District, Nara Prefecture, Japan.

As of 2005, the town had an estimated population of 18,708 and a density of 290.45 persons per km2. The total area was 64.41 km2.

On January 1, 2006, Haibara, along with the towns of Ōuda and Utano, and the village of Murō (all from Uda District), was merged to create the city of Uda.

Nara Prefecture
Nara Prefecture (奈良県, Nara-ken; Japanese pronunciation: [naꜜ.ɾa, na.ɾaꜜ.keɴ]) is a prefecture of Japan located in the Kansai region of Honshu. As of 2020, Nara Prefecture has a population of 1,321,805 and has a geographic area of 3,691 square kilometres (1,425 sq mi). Nara Prefecture borders Kyoto Prefecture to the north, Osaka Prefecture to the northwest, Wakayama Prefecture to the southwest, and Mie Prefecture to the east.

Nara is the capital and largest city of Nara Prefecture, with other major cities including Kashihara, Ikoma, and Yamatokōriyama. Nara Prefecture is located in the center of the Kii Peninsula on Japan's Pacific Ocean coast, and is one of only eight landlocked prefectures. Nara Prefecture has the distinction of having more UNESCO World Heritage listings than any other prefecture in Japan.
Riosa
Riosa is a municipality and parish (administrative division) in the Autonomous Community of the Principality of Asturias, Spain. It is situated in the central mountains of Asturias. Its capital is La Vega.

Parish (administrative division)
A parish is an administrative division used by several countries. To distinguish it from an ecclesiastical parish, the term civil parish is used in some jurisdictions, as noted below.

The table below lists countries which use this administrative division:
Canton of Saint-Cyr-l'École
The canton of Saint-Cyr-l'École is an administrative division of the Yvelines department, northern France. Its borders were modified at the French canton reorganisation which came into effect in March 2015. Its seat is in Saint-Cyr-l'École.

It consists of the following communes:

Bois-d'Arcy

Chavenay

Fontenay-le-Fleury

Rennemoulin

Saint-Cyr-l'École

Villepreux

Chavenay
Chavenay (French pronunciation: [ʃavnɛ] ⓘ), also known as Vallon de Chavenay, is a commune in the Yvelines department in the Île-de-France region in north-central France. It is located close to Saint-Nom-la-Bretèche, Saint-Germain-en-Laye, and Versailles.
Bernhard Ingemann
Bernhard Ingemann (21 October 1869 – 28 October 1923) was a Danish architect. He was the son of architect Valdemar Ingemann with whom he collaborated in the first part of his career (1900–1910). His later works include Gutenberghus on Gothersgade in Copenhagen, now home to the Danish Film Institute.

Danish Film Institute
The Danish Film Institute (Danish: Det Danske Filminstitut; DFI) is the national Danish agency responsible for supporting and encouraging film and cinema culture, and for conserving these in the national interest. It is the successor organisation to the Danish Film Foundation (Danish: Den Danske Filmfond).

Also known as Filmhuset ("the film house"), it is located in Gothersgade in central Copenhagen. Facilities directed at the general public include a library and Cinemateket, Denmark's national film museum. Tine Fischer was appointed to take over from current director of the institute, Claus Ladegaard, from 1 August 2024.
Amirjan Qosanov 2019 presidential campaign
Amirjan Qosanov, a Kazakh journalist and opposition politician expressed his interest on 9 April 2019 in joining the race, believing a chance of possible fair election being held under Acting President Kassym-Jomart Tokayev. On 26 April, Qosanov announced his bid for presidency for the Ult Tagdyry political association where he was unanimously nominated by the group. Qosanov became a registered candidate by the Central Election Commission. On 12 May 2019, Qosanov's campaign officially published the electoral platforms on the website.

Central Election Commission (Kazakhstan)
The Central Election Commission of the Republic of Kazakhstan (CEC RK or CEC, Kazakh: Қазақстан Республикасының Орталық сайлау комиссиясы, ҚР OSK; Russian: Центральная избирательная комиссия Республики Казахстан, ЦИК РК) is a state body in Kazakhstan, which heads the unified system of election commissions.
Francis Ferris
Sir Francis Mursell Ferris, TD (19 August 1932 – 26 March 2018) was a British High Court Judge.

Francis Ferris was the son of Francis William Ferris and Elsie Lilian May Ferris (née Mursell). He educated at Bryanston School and Oriel College, Oxford. He was a High Court Judge (Chancery Division) from 1990 to 2003 and was a Queen's Counsel. He was appointed as an Honorary Fellow of Oriel College, Oxford, in 2000.

Ferris was an amateur rower and the only person to be successively Captain (1957), Chairman (1971–1986), and President (1992–2007) of the Marlow Rowing Club at Marlow, Buckinghamshire on the River Thames. He became a member of the Marlow Regatta's Committee in 1963, the Management Committee in 1999, and was elected as a Vice President in 2004.

Francis Ferris married Sheila Elizabeth Hester Falloon Bedford in 1957 and had four children. He was knighted in 1990.

Territorial Decoration
The Territorial Decoration (TD) was a military medal of the United Kingdom awarded for long service in the Territorial Force and its successor, the Territorial Army.

This award superseded the Volunteer Officer's Decoration when the Territorial Force was formed on 1 April 1908, following the enactment of the Territorial and Reserve Forces Act 1907, (7 Edw.7, c.9) which was a large reorganisation of the old Volunteer Army and the remaining units of militia and Yeomanry.  However, the Militia were transferred to the Special Reserve rather than becoming part of the Territorial Force. Recipients of this award are entitled to use the letters "TD" after their name (post-nominal).
2026 Rio Open – Doubles
Defending champion Marcelo Melo and his partner João Fonseca defeated Constantin Frantzen and Robin Haase in the final, 4–6, 6–3, [10–8] to win the doubles tennis title at the 2026 Rio Open. It was the first ATP Tour doubles title for Fonseca and 41st for Melo.

Rafael Matos and Melo were the reigning champions, but chose not to compete together. Matos partnered Orlando Luz, but lost in the first round to Guido Andreozzi and Manuel Guinard.

Rafael Matos
Rafael Fabris de Matos (born 6 January 1996) is a Brazilian professional tennis player who specializes in doubles. He has a career-high ATP doubles ranking of world No. 26, achieved on 6 February 2023 and a singles ranking of No. 440, reached on 21 May 2018. His most notable result is a major mixed doubles title at the 2023 Australian Open, playing with compatriot Luisa Stefani. They became the first Brazilian pair to win a major.

Matos has won thirteen ATP Tour titles in doubles. He represents Brazil at the Davis Cup.