hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Kosnita's theorem
In Euclidean geometry, Kosnita's theorem is a property of certain circles associated with an arbitrary triangle.

Let  be an arbitrary triangle,  its circumcenter and  are the circumcenters of three triangles , , and  respectively.  The theorem claims that the three straight lines , , and  are concurrent. This result was established by the Romanian mathematician Cezar Coşniţă (1910-1962).

Their point of concurrence is known as the triangle's Kosnita point (named by Rigby in 1997).  It is the isogonal conjugate of the nine-point center. It is triangle center  in Clark Kimberling's list. This theorem is a special case of Dao's theorem on six circumcenters associated with a cyclic hexagon in.

Circumcircle
In geometry, the circumscribed circle or circumcircle of a triangle is a circle that passes through all three vertices. The center of this circle is called the circumcenter of the triangle, and its radius is called the circumradius. The circumcenter is the point of intersection between the three perpendicular bisectors of the triangle's sides, and is a triangle center.

More generally, an n-sided polygon with all its vertices on the same circle, also called the circumscribed circle, is called a cyclic polygon, or in the special case n = 4, a cyclic quadrilateral. All triangles, rectangles, isosceles trapezoids, right kites, and regular polygons are cyclic, but not every polygon is.
Bishramganj railway station
Bishramganj Railway Station is a railway station in Sipahijala district, Tripura. Its code is BHRM. It serves Bishramganj town. The station lies on the Lumding–Sabroom section, which comes under the Lumding railway division of the Northeast Frontier Railway. The segment from Agartala to Sabroom via Udaipur became operational on 3 October 2019.

Sipahijala district
Sipahijala district is a district of Tripura, India. This district was created in January 2012 when four new districts were established in Tripura, taking the number of districts in the state from four to eight. Part of the district was formed from the former district of West Tripura. The principal towns in the district are Bishalgarh, Bishramganj, Melaghar and Sonamura.
Rational irrationality
The concept known as rational irrationality was popularized by economist Bryan Caplan in 2001 to reconcile the widespread existence of irrational behavior (particularly in the realms of religion and politics) with the assumption of rationality made by mainstream economics and game theory. The theory, along with its implications for democracy, was expanded upon by Caplan in his book The Myth of the Rational Voter.

The original purpose of the concept was to explain how (allegedly) detrimental policies could be implemented in a democracy, and, unlike conventional public choice theory, Caplan posited that bad policies were selected by voters themselves. The theory has also been embraced by the ethical intuitionist philosopher Michael Huemer as an explanation for irrationality in politics. The theory has also been applied to explain religious belief.

Bryan Caplan
Bryan Douglas Caplan (born April 8, 1971) is an American economist and author. He is a professor of economics at George Mason University, a senior research fellow at the Mercatus Center, an adjunct scholar at the Cato Institute, and a former contributor to the Freakonomics blog. He currently publishes his own blog, Bet on It. Caplan is a self-described "economic libertarian". The bulk of Caplan's academic work is in behavioral economics and public economics, especially public choice theory.
1867 United States Senate election in California
The 1867 United States Senate election in California was held on December 20, 1867, by the California State Legislature to elect a U.S. Senator (Class 1) to represent the State of California in the United States Senate. In a special joint session, former Democratic State Printer Eugene Casserly was elected over fellow Democratic former Congressman from Illinois Joseph P. Hoge. Casserly and Hoge opposed each other over a dispute regarding an alleged deal that Hoge would let Casserly's protege Henry Huntly Haight run for Governor in exchange for Casserly backing Hoge for Senator.

Eugene Casserly
Eugene Casserly (November 13, 1820 – June 14, 1883) was an Irish-born American journalist, lawyer, and politician. He was the son of scholar Patrick S. Casserly, and he served in the United States Senate from California.
Emma Raducanu
Emma Raducanu (born 13 November 2002) is a British professional tennis player. She has reached a career-high singles ranking of world No. 10 by the WTA. Raducanu was the 2021 US Open champion, and she was the first British woman to win a major in singles since Virginia Wade at the 1977 Wimbledon Championships. She is currently the British No. 1 in women's singles.

With a wildcard entry at 2021 Wimbledon, ranked outside the world's top 300, she reached the fourth round at her first major tournament. At the 2021 US Open, she became the first qualifier in the Open era to win a singles major title, beating Leylah Fernandez in the final without dropping a set during the tournament. It was the second Grand Slam tournament of her career, and she holds the Open-era record for the fewest majors played before winning a title.

Marta Kostyuk
Marta Olehivna Kostyuk (Ukrainian: Марта Олегівна Костюк [ˈmɑrtɐ koˈsʲtʲuk]; born 28 June 2002) is a Ukrainian professional tennis player. She has career-high WTA rankings of No. 16 in singles, achieved on 17 June 2024 and No. 27 in doubles, achieved on 8 May 2023. On the WTA Tour, she has won one singles title (2023 ATX Open) and two doubles titles (2022 Slovenia Open and 2023 Birmingham Classic). Her best major singles performance is reaching the quarterfinals of the 2024 Australian Open. She is the current No. 2 Ukrainian player.
University North
The University North (Croatian: Sveučilište Sjever) is a public university in Croatia that operates in two university centres, Koprivnica and Varaždin. It is the fifth largest university in Croatia based on the number of students and the only public university operating in Northern Croatia alongside the University of Zagreb. The university was founded in 2015 by merging the University of Applied Sciences in Varaždin and the Media University in Koprivnica, thus becoming the eighth Croatian public university.

Northern Croatia
Northern Croatia or North Croatia (Croatian: Sjeverna Hrvatska, pronounced [sjêʋeːrnaː xř̩ʋaːtskaː]) refers to the northern parts of Croatia, encompassing Zagreb, Varaždin, Međimurje, Zagorje and Koprivnica-Križevci counties, including the cities of Zagreb, Varaždin, Čakovec, Krapina, Koprivnica and Križevci. The region is home to the Kajkavian dialect, which some consider to be a separate language of its own. The region borders Hungary to its north-east and Slovenia to its north-west.
Jong Tae-se
Jong Tae-se, also known as Chong Tese (鄭大世; チョン・テセ; Korean: 정대세; born 2 March 1984) is a former professional footballer who played as a forward. Born in Japan, he represented the North Korea national team internationally, notably appearing at the 2010 FIFA World Cup. He is one of few North Koreans who have played in the Japanese J-League and the German 2. Bundesliga.

Kawasaki Frontale
Kawasaki Frontale (川崎フロンターレ, Kawasaki Furontāre) is a Japanese professional football club based in Kawasaki, Kanagawa Prefecture, south of Tokyo. The club currently compete in the J1 League, which is the top tier of football in the country. Their home stadium is Kawasaki Todoroki Stadium in Nakahara Ward, located in the central area of Kawasaki.
Aleš Valenta
Aleš Valenta (Czech pronunciation: [ˈalɛʃ ˈvalɛnta]) (born 6 February 1973 in Šumperk, Czechoslovakia) is a former Czech freestyle skier who participated in aerials.

On February 19, 2002, he won the Winter Olympics gold medal in the freestyle aerials competition where he succeeded to perform the first triple back flip with five twists in the world. He operates the freestyle skiing centre in the town of Štíty.

In December 2007 Valenta won the second season of StarDance with his professional partner Iva Langerová.

Štíty
Štíty (Czech pronunciation: [ˈʃciːtɪ]; until 1949 Šilperk; German: Schildberg) is a town in Šumperk District in the Olomouc Region of the Czech Republic. It has about 1,900 inhabitants. The historic town centre is well preserved and is protected as an urban monument zone. Štíty is known for its freestyle skiing centre.
Monkey Beach (film)
Monkey Beach is a 2020 Canadian drama film, directed by Loretta Todd. Her debut narrative feature, the film is an adaptation of Eden Robinson's 2000 novel Monkey Beach.

The film stars Grace Dove as Lisamarie, a young Haisla woman in Kitamaat, British Columbia coming to terms with the mysterious disappearance of her brother Jimmy (Joel Oulette). The film's cast also includes Adam Beach, Nathaniel Arcand, Glen Gould, Tina Lameman and Ta'Kaiya Blaney.

The film premiered at the 2020 Vancouver International Film Festival.

2020 Vancouver International Film Festival
The 2020 Vancouver International Film Festival, the 39th event in the history of the Vancouver International Film Festival, was held from September 24 to October 7, 2020. On September 3, organizers announced a lineup of 180 films; due to the COVID-19 pandemic in British Columbia and the associated social distancing restrictions remaining in place at movie theatres and other public venues, the festival took place primarily on the online VIFF Connect platform.

Most films were geoblocked so that they were available for streaming only to viewers in British Columbia, although some of the festival's other programming, including its VIFF Talks series, was made available to viewers across Canada and internationally.
Martuthunira language
Martuthunira is an extinct Australian Aboriginal language, that was the traditional language of the Martuthunira people of Western Australia.

The last fluent speaker of Martuthunira, Algy Paterson, died on 6 August 1995. From 1980 he worked with the linguist Alan Dench to preserve Martuthunira in writing, and it is from their work that most of our knowledge of Martuthunira today comes.

Algy Paterson
Algy Paterson (died 6 August 1995) was the last fluent speaker of the Martuthunira language of Western Australia.

Algy's father was a European, which made him eligible to be removed from his family by the authorities under the policy now known as the Stolen Generation. His family avoided this by hiding in the bush, where they lived a traditional nomadic lifestyle. Algy grew up speaking Martuthunira and Kurrama, and did not learn any English until he was fifteen.

From 1980 he worked with the linguist Alan Dench to preserve the Martuthunira language in writing.
Liemeer
52°12′N 4°47′E﻿ / ﻿52.200°N 4.783°E﻿ / 52.200; 4.783

Liemeer (Dutch: [liˈmeːr] ⓘ) is a former municipality in the western Netherlands, in the province of South Holland. It was merged into the municipality of Nieuwkoop on January 1, 2007.

The municipality covered an area of 30.98 km² of which 0.76 km² is water. Its population was 6962 in November 2006. Liemeer consisted of the communities of Nieuwveen, Noorden, Vrouwenakker, and Zevenhoven.

The former municipality of Liemeer was established as a renaming of Nieuwveen in 1994.

Nieuwkoop
Nieuwkoop (Dutch pronunciation: [ˈniukoːp] ⓘ) is a town and municipality in the western Netherlands, in the province of South Holland. The municipality was enlarged on 1 January 2007, through the amalgamation of Liemeer and Ter Aar. The municipality now covers an area of 91.16 km2 (35.20 sq mi) of which 13.11 km2 (5.06 sq mi) is water. Its population was 29,151 in 2021.

On May 3, 2008, the Dutch newspaper Algemeen Dagblad published an article which stated that Nieuwkoop is the safest municipality of the Netherlands.

The municipality of Nieuwkoop includes the following communities:
Carina Ödebrink
Carina Ödebrink (born 1961) is a Swedish politician. Since September 2018, she serves as Member of the Riksdag representing the constituency of Jönköping County. She was also elected as Member of the Riksdag in September 2022. She is affiliated with the Social Democrats.

Jönköping County (Riksdag constituency)
Jönköping County (Swedish: Jönköpings Län) is one of the 29 multi-member constituencies of the Riksdag, the national legislature of Sweden. The constituency was established in 1970 when the Riksdag changed from a bicameral legislature to a unicameral legislature. It is conterminous with the county of Jönköping. The constituency currently elects 11 of the 349 members of the Riksdag using the open party-list proportional representation electoral system. At the 2022 general election it had 271,666 registered electors.
2017–18 Lowland Football League
The 2017–18 Scottish Lowland Football League (known as the Ferrari Packaging Lowland League for sponsorship reasons) was the fifth season of the Lowland Football League, the fifth tier of the Scottish football pyramid system. The season began on 28 July 2017 and ended on 8 May 2018. East Kilbride were the defending champions.

Edusport Academy became the first club to gain promotion from the South of Scotland League, replacing Preston Athletic who were relegated to the East of Scotland League.

The Spartans won the league on 14 April 2018, after a goalless draw with East Stirlingshire at Ainslie Park in their final match. They faced the winners of the 2017–18 Highland Football League (Cove Rangers) in the semi-finals of the League Two Play-offs, losing 5–2 on aggregate.

2017–18 Scottish League Two
The 2017–18 Scottish League Two (known as Ladbrokes League Two for sponsorship reasons) was the 24th season in the current format of 10 teams in the fourth-tier of Scottish football. The last placed team entered a play-off with a team nominated by the Scottish Football Association from outside the SPFL determining which team enters League Two in the 2018–19 season. The fixtures were published on 23 June 2017.

Ten teams contested the league: Annan Athletic, Berwick Rangers, Clyde, Cowdenbeath, Edinburgh City, Elgin City, Montrose, Peterhead, Stenhousemuir and Stirling Albion.
Juky San
Trần Thị Dung, known professionally as Juky San (born 14 January 1998), is a Vietnamese singer-songwriter.

She participated in season 6 of The Voice Vietnam (2019). Belonged to Huynh Hoai Anh's team. Stopped in the final Top 7. Before participating in TV shows, Juky San was known for her covers of famous songs such as "Cau hon", "Yeu em dai kho", "Em ngay nay"... After the cover, she started releasing official songs. For example, Phai ha em da yeu (2021) was a significant hit. San also participated in season 1 of The Masked Singer Vietnam with her character as Chip Chip Pink. In 2025, Juky San joined the TV show Em xinh "say hi".

The Masked Singer Vietnam
The Masked Singer Vietnam (Vietnamese: Ca sĩ mặt nạ, lit. 'masked singer') is a Vietnam reality singing competition that premiered on HTV2 - Vie Channel, Vie Giải Trí and the VieON app from July 16, 2022. This is the Vietnamese version of the South Korean television show King of Mask Singer, and is part of the Masked Singer franchise. The show is presented by Ngô Kiến Huy, with Trấn Thành, Tóc Tiên, Wowy (later Đức Phúc) and Bích Phương appearing in each episode as panelists, along with at least one guest panelist in each episode.
Central Lee Community School District
Central Lee Community School District is a rural public school district headquartered in Donnellson, Iowa. Entirely in Lee County, it serves Argyle, Donnellson, Franklin, Montrose and adjacent rural areas. A small section of Fort Madison lies in the district limits.

Fort Madison, Iowa
Fort Madison is a city in and a county seat of Lee County, Iowa, United States along with Keokuk. Of Iowa's 99 counties, Lee County is the only one with two county seats. The population was 10,270 at the time of the 2020 census. Located along the Mississippi River in the state's southeast corner, it lies between small bluffs along one of the widest portions of the river. Fort Madison is also the home of the Iowa State Penitentiary.
Winnebago County Courthouse (Wisconsin)
The Winnebago County Courthouse is a five-story county courthouse built in 1937 and located in Oshkosh, Wisconsin. It houses the circuit court and government offices of Winnebago County, Wisconsin. The building was listed on the National Register of Historic Places in 1982 and on the State Register of Historic Places in 1989 for its statewide significance as an example of Moderne architecture, a variety of Art Deco.

Oshkosh, Wisconsin
Oshkosh (/ˈɒʃkɒʃ/ ⓘ) is a city in Winnebago County, Wisconsin, United States, and its county seat. It is located on the western shore of Lake Winnebago, adjacent to the much less populous Town of Oshkosh in the north. The population was 66,816 at the 2020 census, making it the ninth-most populous city in Wisconsin. The Oshkosh metropolitan statistical area, consisting solely of Winnebago County, had 171,730 residents. Oshkosh is included in the greater Fox Cities region of Wisconsin.
Krasnoshchyokovsky District
Krasnoshchyokovsky District (Russian: Краснощёковский райо́н) is an administrative and municipal district (raion), one of the fifty-nine in Altai Krai, Russia. It is located in the south of the krai. The area of the district is 3,543 square kilometers (1,368 sq mi). Its administrative center is the rural locality (a selo) of Krasnoshchyokovo. As of the 2010 Census, the total population of the district was 19,251, with the population of Krasnoshchyokovo accounting for 26.4% of that number.

Krasnoshchyokovo, Altai Krai
Krasnoshchyokovo (Russian: Краснощёково) is a rural locality (a selo) and the administrative center of Krasnoshchyokovsky District of Altai Krai, Russia. Population:  5,078 (2010 Census); 5,506 (2002 Census); 5,501 (1989 Soviet census).
(I Just Wanna) B with U
"(I Just Wanna) B with U" is a song by English pop rock band Transvision Vamp, released in April 1991 by MCA Records as the lead single from their third and final studio album, Little Magnets Versus the Bubble of Babble (1991). It was also the first of their singles to be co-written by Wendy James. After a two-year gap since their previous single, "Born to Be Sold", "B with U" reached number 30 on the UK Singles Chart and number 16 in Australia.

Little Magnets Versus the Bubble of Babble
Little Magnets Versus the Bubble of Babble is the third and final album by UK pop rock band Transvision Vamp. The album was released in 1991, two years after their UK No. 1 album Velveteen.

This album did not get a UK release at the time due to disputes with their label. Little Magnets Versus the Bubble of Babble took on a more mellow sound, which was the reason that their record company at one stage refused to release it – it was eventually released in the US but not in the UK at the time. It was, however, released in Australia, where the band had enjoyed considerable success. The album peaked at No. 25 on the Australian Albums Chart. It was released in New Zealand where it reached No.14, and also released in Sweden, reaching No.27. Little Magnets Versus the Bubble of Babble produced a few singles, but before a UK release could be re-considered, Transvision Vamp broke up.

This was the only Transvision Vamp album to feature co-writing credits for Wendy James.
Billy Mackenzie
William MacArthur Mackenzie (27 March 1957 – 22 January 1997) was a Scottish singer and songwriter, known for his distinctive high tenor voice. He was the co-founder and lead vocalist of the post-punk and pop band the Associates. He also had a brief solo career releasing his debut studio album, Outernational, in 1992, his only solo album released during his lifetime.

Baby (Yello album)
Baby is the seventh studio album by the band Yello, released in 1991 under the label Mercury. An early cut of the album was used as the incidental soundtrack for the film The Adventures of Ford Fairlane.
Hermesh
Hermesh (Hebrew: חֶרְמֵשׁ, lit. 'Scythe') is an Israeli settlement in the western Samarian hills of the West Bank. Founded in 1984, it is organised as a community settlement and falls under the jurisdiction of Shomron Regional Council. In 2023 it had a population of 284.

The international community considers Israeli settlements in the West Bank to be illegal, but the Israeli government disputes this.

Shomron Regional Council
The Shomron Regional Council (Hebrew: מועצה אזורית שומרון, Mo'atza Azorit Shomron, English Samaria Regional Council) is an Israeli regional council in the northern portion of the Israeli-occupied West Bank. Thirty-five Israeli settlements fall under its jurisdiction. As of December 2020 the jurisdiction area of the council has a population of about 47,200 people. The main offices are located in the Barkan Industrial Park.

The international community considers Israeli settlements in the West Bank illegal under international law, but the Israeli government disputes this.

Covering 2,800 square kilometers of the West Bank, it was, prior to the fall of 2005 when some of its municipal land was abandoned as part of Israel's unilateral disengagement plan, the largest Israeli regional council in municipal area.

In August 2015, Yossi Dagan was elected to position of Chairman of Shomron Regional Council, with 62% of the vote.
2021 Kyrgyzstan Cup
The 2021 Kyrgyzstan Cup was the 30th season of the Kyrgyzstan Cup, the knockout football tournament in Kyrgyzstan. Neftchi Kochkor-Ata won the title for the second time in their history on 18 September, qualifying for the 2022 AFC Cup as a result.

FC Neftchi Kochkor-Ata
Football Club Neftchi Kochkor-Ata (Kyrgyz: Нефтчи Кочкор-Ата Футбол Клубу, Neftçi Qoçqor-Ata Futbol Klubu) is a Kyrgyz professional football club based in Kochkor-Ata. Founded in 1960, the club competes in the Kyrgyz Premier League.
IVX
IVX is a volatility index providing an intraday, VIX-like measure for any of US securities and exchange traded instruments. IVX is the abbreviation of Implied Volatility Index and is a popular measure of the implied volatility of each individual stock. IVX represents the cost level of the options for a particular security and comparing to its historical levels one can see whether IVX is high or low and thus whether options are more expensive or cheaper. IVX values can be compared for the stocks within one industry to find names which significantly differ from what is observed in overall sector.

Volatility (finance)
In finance, volatility (usually denoted by "σ") is the degree of variation of a trading price series over time, usually measured by the standard deviation of logarithmic returns.

Historic volatility measures a time series of past market prices.  Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option).
Wappilka
Wappilka is a locality in the Murray Mallee region of South Australia.

Wappilka was founded based on the Wappilka siding on the Moorook railway line. The railway opened in 1925 and closed in 1971. The town was surveyed in August 1926 and declared ceased to exist in February 1960. The railway siding received 30,000 bags of wheat in the 1926–1927 season.

The name continues to be used for the locality.

Yinkanie railway line
The Yinkanie railway line was a 50.6 kilometres (31.4 mi) railway line on the South Australian Railways network. Named the Wanbi to Moorook Railway in its enabling Act, it never reached its intended destination on the River Murray. The railway ran from a junction with the Barmera line at Wanbi northwards to Yinkanie, opening on 7 September 1925 and closing  on 1 May 1971.