hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Nested interval topology
In mathematics, more specifically general topology, the nested interval topology is an example of a topology given to the open interval (0,1), i.e. the set of all real numbers x such that 0 < x < 1. The open interval (0,1) is the set of all real numbers between 0 and 1; but not including either 0 or 1.

To give the set (0,1) a topology means to say which subsets of (0,1) are "open", and to do so in a way that the following axioms are met:

The union of open sets is an open set.

The finite intersection of open sets is an open set.

The set (0,1) and the empty set ∅ are open sets.

Subset
In mathematics, a set A is a subset of a set B if and only if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion (or sometimes containment). A is a subset of B may also be expressed as B includes (or contains) A or A is included (or contained) in B. A k-subset is a subset with k elements.

When quantified,  is represented as

One can prove the statement  by applying a proof technique known as the element argument:

Let sets A and B be given. To prove that 
suppose that a is a particular but arbitrarily chosen element of A
show that a is an element of B.

The validity of this technique can be seen as a consequence of universal generalization: the technique shows  for an arbitrarily chosen element c. Universal generalisation then implies  which is equivalent to  as stated above.
Matt Nardo
Matthew Nardo is an American college football coach. He is the head football coach for Muskingum University, a position he has held since 2025. He was the head football coach for Bishop McLaughlin Catholic High School in 2010 and Bluffton University from 2022 to 2024. He also coached for Ohio, Marietta, Pikeville, Emporia State, Basehor-Linwood High School, and North Carolina Wesleyan.

Emporia State Hornets football
The Emporia State Hornets football program is a college football team that represents Emporia State University. The team competes as a member of the Mid-America Intercollegiate Athletics Association (MIAA), which is a conference in the NCAA Division II. The program began in 1897 and has fifteen conference titles. On December 15, 2006, former Hornets quarterback Garin Higgins became the team's 24th head coach, following the resignation of Dave Wiemers. Home games are played on Jones Field at Welch Stadium, located on the Emporia State University campus in Emporia, Kansas. In August 2017, Hero Sports named Emporia State the "best football team in Kansas, regardless of division".
Juan Manuel Corzo
Juan Manuel Corzo Román (born 3 October 1961) is a Colombian lawyer and politician, currently serving as Senator of Colombia since 2002. A Conservative party politician, he was first elected to Congress as Representative for the Department of North Santander in 1998. He ran and was elected Senator of Colombia in 2002, continuing to be re-elected in 2006 and 2010; he forms part of the First Commission of the Senate.

On 12 April 1999 Corzo was kidnapped along with the 39 other passengers of an Avianca Fokker flight between Bucaramanga and Cúcuta by a command of the National Liberation Army (ELN), a leftist terrorist guerrilla group, and was held captive for 17 months until his release in September 2000.

Norte de Santander Department
Norte de Santander (Spanish for Northern Santander) (Spanish pronunciation: [ˈnoɾte ðe santanˈdeɾ]) is a department of northeastern Colombia. It is in the north of the country, bordering Venezuela. Its capital is Cúcuta, one of the country's major cities.

Norte de Santander is bordered by Venezuela to the east and north, by Santander Department and Boyacá Department to the south, and by Santander Department and Cesar Department to the west.

The official department name is "Departamento de Norte de Santander" (Norte de Santander Department) in honor of Colombian military and political leader Francisco de Paula Santander, who was born and raised near Cúcuta. Norte de Santander Department is located in the northwestern zone of the Colombian Andean Region.

The area of present-day Norte de Santander played an important role in the history of Colombia, during the War of Independence from Spain when Congress gave origin to the Greater Colombia in Villa del Rosario.
Viktor Blažič
Viktor Blažič (19 July 1928 – 25 June 2014) was a Slovenian journalist, essayist, translator and former anti-Communist dissident.

He was born in the village of Smolenja Vas near Novo Mesto in south-eastern Slovenia, then part of the Kingdom of Serbs, Croats and Slovenes. In 1944, he joined the partisan resistance. After World War II, he became a journalist. In the early 1960s, he was member of the editorial board of the alternative journal Perspektive. In the early 1970s, he was one of the founders of the environmentalist movement in Slovenia.

Novo Mesto
Novo Mesto (pronounced [ˈnɔ̀ːʋɔ ˈmèːstɔ] ⓘ; Slovene: Novo mesto; also known by alternative names) is the seventh-largest city of Slovenia. It is the economic and cultural centre of the traditional region of Lower Carniola (southeastern Slovenia) and the seat of the City Municipality of Novo Mesto. It lies on a bend of the Krka River, close to the border with Croatia.
1946 in Soviet football
The 1946 Soviet football championship was the 14th seasons of competitive football in the Soviet Union and the 8th among teams of sports societies and factories. Among the worst teams of the top tier before World War II, CDKA Moscow won the championship becoming the Soviet domestic champions for the first time.

The defending champions Dinamo once again had a slow start in the first half and were not able to regain their champion pace in the second half as well, almost placing third behind clubmates from Tbilisi.

In 1946 there was reintroduced the third tier for a season, status of which is not determined and data for which is sparse.

FC Sokol Saratov
PFC Sokol (Russian: ПФК "Сокол") is a Russian association football club based in Saratov. In 2001 and 2002, Sokol played in the Russian Premier League. The club now plays in the second-tier Russian First League.
Daewoo S-TEC engine
S-TEC or M-TEC is a low-displacement engine range co-developed by Suzuki and Daewoo Motors for use in micro and subcompact cars. The original version was a license-built version of the Suzuki F8B engine; later generations were derived from the original design in South Korea.

Suzuki
Suzuki Motor Corporation (Japanese: スズキ株式会社, Hepburn: Suzuki Kabushiki gaisha) is a Japanese multinational mobility manufacturer headquartered in Hamamatsu, Shizuoka. It manufactures automobiles, motorcycles, all-terrain vehicles (ATVs), outboard marine engines, wheelchairs and a variety of other small internal combustion engines. In 2016, Suzuki was the eleventh biggest automaker by production worldwide.
Suzuki has over 45,000 employees and has 35 production facilities in 23 countries, and 133 distributors in 192 countries. The worldwide sales volume of automobiles is the world's tenth largest, while domestic sales volume is the third largest in the country.

Suzuki's domestic motorcycle sales volume is the third largest in Japan.
Medusa (Clan of Xymox album)
Medusa is the second studio album by Dutch dark wave band Clan of Xymox. It was released in November 1986 by 4AD. Founding member Pieter Nooten re-recorded the songs "After the Call" and "Theme I" on Sleeps with the Fishes, his 1987 collaborative album with Michael Brook, following a brief split from the band.

Dark wave
Dark wave (also known as darkwave) is a music genre that emerged from the new wave and post-punk movement of the late 1970s. Dark wave compositions are largely based on minor key tonality and introspective lyrics and have been perceived as being dark, romantic and bleak, with an undertone of sorrow. Common features include the use of chordophones such as electric and acoustic guitar, violin and piano, as well as electronic instruments such as synthesizer, sampler and drum machine. Like new wave, dark wave is not a "unified genre but rather an umbrella term" that encompasses a variety of musical styles, including cold wave, ethereal wave, gothic rock, neoclassical dark wave and neofolk.

In the 1980s, a subculture developed primarily in Europe alongside dark wave music, whose followers were called "wavers" or "dark wavers". In some countries, most notably Germany, the movement also included fans of gothic rock (so-called "trad-goths").
Greenbrier Presidential Express
The Greenbrier Presidential Express was a proposed luxury passenger train that was planned to operate between Union Station in Washington, D.C., United States, and the train station at the Greenbrier resort in White Sulphur Springs, West Virginia.  The project was initiated in June 2011 but canceled in May 2012 due to numerous issues, among which were capacity constraints on the Buckingham Branch Railroad and Federal approval of the train's engineering.

White Sulphur Springs, West Virginia
White Sulphur Springs is a city in Greenbrier County, West Virginia, United States. The population was 2,231 at the 2020 census. The city emblem consists of five dandelion flowers and the citizens celebrate spring with an annual Dandelion Festival.
Jorge Cepernic
Jorge Cepernic (23 February 1915 – 18 July 2010) was an Argentine politician and Governor of Santa Cruz Province between 1973 and 1974.

In 1974, during Isabel Perón's term in office, he was removed from office.
Afterwards, he was given a five-year jail sentence at the Magdalena jail for allowing the filming of Rebellion in Patagonia during his tenure in office. He was then forced into house arrest with his family in their farm nearby El Calafate. One day he escaped and managed to arrive to a police station, where he waited for the chief of police and asked him to have him removed from his house arrest and sent to a prison so that his family would not be victims of his sentence.

On 18 July 2010, Jorge died in his house in Río Gallegos after a long illness at the age of 95.
The Santa Cruz governor Daniel Peralta declared provincial mourning for three days.

El Calafate
El Calafate, also called Calafate, is a city in the Argentine province of Santa Cruz, in Patagonia. It is located on the southern border of Lago Argentino, in the southwest part of the province (about 320 kilometres (200 mi) northwest of Río Gallegos). It is the seat of government for the Lago Argentino Department within the province. The name of the city is also the name of a small bush, with yellow flowers and dark-blue berries, that is very commonly seen in the region—the calafate (Berberis buxifolia). The word comes from the word calafate, which is Spanish for 'caulk'.

El Calafate is an important tourist destination, serving as the hub for visitors of different parts of Los Glaciares National Park, Perito Moreno Glacier, Cerro Chaltén, and Cerro Torre, in addition to the area surrounding Lago Argentino.
Istres
Istres (French pronunciation: [istʁ]; Occitan: Istre) is a commune in southern France, some 60 km (38 mi) northwest of Marseille. It is in the Provence-Alpes-Côte d'Azur region, in the Bouches-du-Rhône department, of which it is a subprefecture.

Bouches-du-Rhône
Bouches-du-Rhône (/ˌbuːʃ djuː ˈroʊn/ BOOSH dew ROHN; French: les Bouches-du-Rhône [le buʃ dy ʁon] ⓘ, locally [le ˈbuʃə dy ˈʁɔnə]; Occitan: lei Bocas de Ròse [lej ˈbukɔz de ˈʀɔze]; "the Mouths of the Rhône") is a department in southern France. It borders Vaucluse to the north, Gard to the west and Var to the east. The Mediterranean Sea lies to the south. Its prefecture and largest city is Marseille; other important cities include Aix-en-Provence, Arles, Martigues and Aubagne.

Marseille, France's second-largest city, has one of the largest container ports in the country. It prides itself on being France's oldest city, founded by Greek settlers from Phocaea around 600 BC. Bouches-du-Rhône is the most populous department of the Provence-Alpes-Côte d'Azur region, with 2,043,110 inhabitants as of 2019. It has an area of 5,087 km2 (1,964 sq mi). Its INSEE and postal code is 13.
Dagmar Andreasen
Dagmar Andreasen née Rasmussen (1920–2006) was a Danish businesswoman and a politician. In 1953, she took over the management of Rynkeby Mosteri, an apple juice factory which had been founded by her mother in the village of Rynkeby on the island of Funen. She introduced significant improvements, began to produce other juices, especially blackcurrant, and successfully promoted the Rynkeby brand name. When she retired from management in 1986, the firm had 170 employees and a turnover of DKK 200 million. On the political front, representing the Danish Social Liberal Party, she was a Member of the Folketing from 1968 to 1975.

Member of the Folketing
Members of the Folketing (Danish: Folketingsmedlem, lit. 'Medlem af Folketinget') are members of the Danish parliament, known as the Folketing. The title is frequently shortened to the initialism MF. The term of office is up to 4 years, but usually shorter as the prime minister can call a snap election at any time before the full term is up.

Since the general election on 22 September 1953, which was the first under the Constitution of 1953, there have been 179 members of parliament in each session. 175 are elected in Denmark proper, while two each are elected in Greenland and the Faroe Islands, known collectively as the North Atlantic mandates (da). When someone ceases to be an MF, other members of their party who didn't win a seat at the most recent election are offered to take their place as substitutes, making by-elections unnecessary. The current MFs were elected in the general election on 1 November 2022
WSOC-TV
WSOC-TV (channel 9) is a television station in Charlotte, North Carolina, United States, affiliated with ABC and Telemundo. It is owned by Cox Media Group alongside Kannapolis-licensed independent station WAXN-TV (channel 64). The two stations share studios on West 23rd Street north of uptown Charlotte; WSOC-TV's transmitter is located near Reedy Creek Park in the Newell section of the city.

Reedy Creek Park
Reedy Creek Park is a 125-acre (51 ha) urban park at 2900 Rocky River Road in the Newell section of Charlotte, North Carolina.  Adjacent to the park is a 737 acre nature preserve.

The main park contains courts and fields for basketball, softball, tennis, soccer, horseshoes, cricket, and volleyball. There are indoor and outdoor picnic facilities, extensive benches, playgrounds, a disc golf course, a dog park, a community garden, several ponds, and a lakeside fishing pier.  Reedy Creek Park is the home of the Charlotte based South Park Cricket Club.

The ruins of the John Robinson Rockhouse, a revolutionary era structure dating from the 1780s, lies deep within Reedy Creek Park, and can be reached by one of the popular trails leading through the nature preserve.  It was added to the National Register of Historic Places in 2009.
Eternal (Branford Marsalis album)
Eternal is an album by saxophonist Branford Marsalis recorded at Tarrytown Music Hall, Tarrytown, New York in October 2003. It peaked at number 9 on the Top Jazz Albums chart.

The Allmusic review by Matt Collar states, "Eternal finds saxophonist Branford Marsalis in a contemplative mood performing a mix of original and standard ballads... dedicated in memory to a list of people one can only assume were as influential musically on Marsalis as emotionally. Among them are bassist Malachi Favors, drummer Elvin Jones, saxophonist Steve Lacy, and the one and only Ray Charles. Their spirits are palpable here as Marsalis and his band have clearly documented a handful of quietly beautiful and deeply moving performances".

Eric Revis
Eric Sebastian Revis (born May 31, 1967) is a jazz bassist and composer. Revis came to prominence as a bassist with singer Betty Carter in the mid-1990s. Since 1997 he has been a member of Branford Marsalis's ensemble.
Yellowlees
Yellowlees is a surname. Notable people with the surname include:

Henry Yellowlees (1919–2006), English medical officer

J. Yellowlees Douglas (born 1962), American academic

Lesley Yellowlees (born 1953), British chemist

Michael Yellowlees (born 1960), Scottish field hockey player

Norm Yellowlees (1912–1991), Canadian ice hockey player

Peter Yellowlees (born 1954), British psychiatrist and author

William Yellowlees (1796–1855), Scottish painter

Michael Yellowlees
Michael Yellowlees (born 1959) is a former Scottish field hockey player who played for the Scotland national outdoor and indoor teams during the 1980s and early 1990s.  He played his club hockey for Edinburgh Civil Service and Murray International Metals.

In 1983 he scored the only goal for the Scotland outdoor team that beat Spain 1–0 in Barcelona.  Scotland's first victory against Spain in international competition.

Yellowlees was also a member of the Scotland outdoor squad that beat Holland for the first time in 1986.  Scotland won the match 2–1 with a goal in the last few minutes at Largs.  Holland were the reigning European champions at the time.

Yellowlees graduated from the University of Edinburgh in history and law.  In 2003 he published his first book. He is a practising solicitor in Edinburgh.

Michael J Yellowlees (2003). 'So Strange a Monster As a Jesuiste': The Society of Jesus in Sixteenth-Century Scotland. House of Lochar. ISBN 1899863885.
Choi Kwang-jo
Choi Kwang-jo (born March 2, 1942) is a former South Korean national champion in taekwondo, and is one of the twelve original masters of taekwondo of the Korea Taekwon-Do Association. Following a career in the South Korean military, he emigrated to the United States of America in 1970. Choi is the founder and head of the Choi Kwang Do international martial art organization, with headquarters in Atlanta, Georgia, USA.

Korea Taekwondo Association
Korea Taekwondo Association (Korean: 대한 태권도 협회; Hanja: 大韓 跆拳道 協會; KTA), originally the Korea Tae Soo Do Association, is the first taekwondo organisation. It was founded in 1961, and in 1963 it received approval to join the Korean Sports Council.

The Kukkiwon and World Taekwondo (formerly known as the World Taekwondo Federation) were established by the KTA in the early and late 1970s, respectively. Today, the KTA is aligned with Kukkiwon and serves as the Member National Association (MNA) of World Taekwondo. Its mission is to promote taekwondo as a national sport within South Korea.
Madge Lake
Madge Lake is a freshwater lake located in eastern Saskatchewan, 18 km east of the town of Kamsack and just a few kilometres west of the province's eastern boundary. Road access to the lake is via Highway 57, which passes by the south shore of Madge Lake as it connects Highway 5 to Manitoba Highway 83.

Madge Lake is the largest body of water in Saskatchewan's Duck Mountain Provincial Park. The lake measures approximately 5 km by 5 km for a total surface area of 21 square kilometres.

Burbot
The burbot (Lota lota), also known as bubbot, mariah, loche, cusk, freshwater cod, freshwater ling, freshwater cusk, the lawyer, coney-fish, lingcod, or eelpout, is a species of coldwater ray-finned fish native to the subarctic regions of the Northern Hemisphere. It is the only member of the genus Lota, and is the only freshwater species of the order Gadiformes. The species is closely related to marine fish such as the common ling and cusk, all of which belong to the family Lotidae (rocklings).
Lost Girl season 3
Lost Girl is a Canadian supernatural drama television series that premiered on Showcase on September 12, 2010. The series was created by Michelle Lovretta and is produced by Jay Firestone and Prodigy Pictures Inc., with the participation of the Canadian Television Fund (Canada Media Fund), and in association with Shaw Media. It follows the life of a bisexual succubus named Bo, played by Anna Silk, as she learns to control her superhuman abilities, help those in need, and discover the truth about her origins.

On December 9, 2011, Showcase announced that Lost Girl had been renewed for a third season. Season Three premiered on January 6, 2013.

In Australia, Season Three premiered on SF (formerly Sci Fi) on January 10, 2013.  In the United States, Season Three premiered on Syfy on January 14, 2013.  In the United Kingdom and Ireland, Season Three premiered on Syfy (UK) on April 23, 2013.

SF (Australian TV channel)
SF (formerly Sci Fi Channel) was an Australian subscription channel that aired science fiction, fantasy and related programs. It was available on Foxtel, Austar and Optus Television subscription platforms.

In 2012, the channel rebranded from Sci Fi to SF. The channel used a world-exclusive version of the "Syfy" branding, SF being a joint venture between NBCUniversal (the owners of the Syfy brand), Sony Pictures Television and CBS Studios International.

On 31 December 2013, SF ceased broadcasting and closed, being replaced by an Australian version of Syfy in 2014.
Battle at Jurjeve Stijene
The Battle at Jurjeve Stijene (Croatian: Bitka kod Jurjevih Stijena) was fought on 16 October 1663, at a canyon near Otočac in the Habsburg Kingdom of Croatia between the forces of Petar Zrinski, at the time captain of Senj, Ogulin and Primorje, and the forces of the Ottoman Empire under Ali-Pasha Čengić of the Eyalet of Bosnia.

Ogulin
Ogulin (Croatian pronunciation: [ôɡulin]) is a town in central Croatia, in Karlovac County. It has a population of 7,389 (2021) (it was 8,216 in 2011), and a total municipal population of 12,251 (2021). Ogulin is known for its historic stone castle, known as Kula, and the nearby mountain of Klek.
Benxi Steel Group
Benxi Steel Group Corp., Ltd. known as Benxi Steel Group (or Bengang in China) is a Chinese holding company based in Benxi, Liaoning Province, for two steel making group.

The company was formed in 2010 as the holding company for Benxi Iron and Steel (Group) Co., Ltd. (Chinese: 本溪钢铁(集团)有限责任公司) and Beitai Iron and Steel (Group) Co., Ltd. (Chinese: 北台钢铁(集团)有限责任公司), the latter now known as Benxi Beiying Iron and Steel (Group) Co., Ltd. (Chinese: 本溪北营钢铁(集团)股份有限公司).

According to World Steel Association (Chinese companies data was provided by China Iron and Steel Association), the corporation was ranked the 21st in 2015 the world ranking by production volume.

It was owned by State-owned Assets Supervision and Administration Commission (SASAC) of Liaoning Provincial People's Government.

World Steel Association
World Steel Association, abbreviated as worldsteel, is the international industry association for the iron and steel sector. The association  is one of the largest and most dynamic industry associations in the world, with members in every major steel-producing country. worldsteel represents steel producers, national and regional steel industry associations, and steel research institutes. Members represent around 85% of global steel production.

It is a non-profit organisation with its headquarters in Brussels, Belgium and a second office in Beijing, China, whose purpose is to promote steel and the steel industry to customers, the industry, media and the general public.
Junaid Halim
Junaid Halim is a Bangladeshi film actor and editor. He is also one of the renowned professors of film studies in Bangladesh. He was the chairman of the Film & TV department at Jagannath University, one of the reputed public universities in Bangladesh. He won Bangladesh National Film Award for Best Editing three times for the films Shankhonad (2004), Britter Baire (2009) and Maya: The Lost Mother (2019).

Maya: The Lost Mother
Maya: The Lost Mother is a 2019 Bangladeshi war drama film. The film was written and directed by Masud Pathik and produced by Information Ministry of Bangladesh Government. It features Mumtaz Sorcar, Pran Roy, Jyotika Jyoti and Debashish Kaiser in the lead roles. The film was released on December 27, 2019. The film also premiered on 18th Dhaka International Film Festival.