hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Zipf–Mandelbrot law
In probability theory and statistics, the Zipf–Mandelbrot law is a discrete probability distribution. Also known as the Pareto–Zipf law, it is a power-law distribution on ranked data, named after the linguist George Kingsley Zipf, who suggested a simpler distribution called Zipf's law, and the mathematician Benoit Mandelbrot, who subsequently generalized it.

The probability mass function is given by

where  is given by

which may be thought of as a generalization of a harmonic number. In the formula,  is the rank of the data, and  and  are parameters of the distribution. In the limit as  approaches infinity, this becomes the Hurwitz zeta function . For finite  and  the Zipf–Mandelbrot law becomes Zipf's law. For infinite  and  it becomes a zeta distribution.

Zeta distribution
In probability theory and statistics, the zeta distribution is a discrete probability distribution. If X is a zeta-distributed random variable with parameter s, then the probability that X takes the positive integer value k is given by the probability mass function

where ζ(s) is the Riemann zeta function (which is undefined for s = 1).

The multiplicities of distinct prime factors of X are independent random variables.

The  Riemann zeta function being the sum of all terms  for positive integer k, it appears thus as the normalization of the Zipf distribution. The terms "Zipf distribution" and "zeta distribution" are often used interchangeably. But while the Zeta distribution is a probability distribution by itself, it is not associated with Zipf's law with the same exponent.
Far West Story
Far West Story is a 1952 Australian short film which had a cinematic release.

It was made to promote the Far West Children's Health Scheme.

It starred Muriel Steinbeck and Grant Taylor and was produced by T.O. McCreadie.

ABC Weekly called it a "moving, well-told little story."

Grant Taylor (actor)
Ronald Grant Taylor (6 December 1917 – 26 January 1971) was an English-Australian actor best known as the abrasive General Henderson in the Gerry Anderson science fiction series UFO and for his lead role in Forty Thousand Horsemen (1940).
Juno Awards of 2019
The Juno Awards of 2019, honouring Canadian music achievements, were presented in London, Ontario during the weekend of 16–17 March 2019. The primary telecast ceremonies were held at Budweiser Gardens, preceded by numerous Juno Week events from 11 March. This was the first time the Juno Awards were hosted in London.

The award ceremony was hosted by Sarah McLachlan.

Shawn Mendes won five awards, the most at the ceremonies, including Artist of the Year, Album of the Year, and Single of the Year.

Sarah McLachlan
Sarah Ann McLachlan (born January 28, 1968) is a Canadian singer-songwriter. As of 2015, she had sold over 40 million albums worldwide. McLachlan's best-selling album is Surfacing (1997), for which she won two Grammy Awards (out of four nominations) and four Juno Awards. She has won three Grammy and twelve Juno Awards in total, and is a member of the Canadian Music Hall of Fame and the Canadian Songwriters Hall of Fame. McLachlan founded the Lilith Fair tour, which showcased female musicians.
Chōchin (film)
Chōchin (ちょうちん), also known as Paper Lantern, is a 1987 Japanese crime drama film directed by Shunichi Kajima. It is an adaptation of a novel by Shōji Kaneko, who died of cancer four years prior to the film's production. The screenplay was written by Goro Hanawa. It stars Takanori Jinnai in the lead role, alongside Eri Ishida, Yoshio Harada and Mariko Kaga. Toei released Chōchin on May 23, 1987, in Japan, where it was a financial success.

Eri Ishida
Eri Ishida (石田 えり, Ishida Eri) is a Japanese actress. She won the award for best supporting actress at the 14th Japan Academy Awards for Tsuribaka Nisshi 2, Tsuribaka Nisshi 3 and Tobu yume o shibaraku minai. She also won in that same category at the 9th Yokohama Film Festival for Chōchin and at the 13th Hochi Film Award for A Chaos of Flowers, Hope and Pain and Wuthering Heights.
Rim-driven thruster
The rim-driven thruster, also known as rim-driven propulsor/propeller (or RDP) is a novel type of electric propulsion unit for ships. The concept was proposed by Kort around 1940, but only became commercially practical in the early 21st century due to advances in DC motor controller technology. As of 2017, commercial models of between 500 kW and 3 MW are available from manufacturers such as Rolls-Royce, Schottel, Brunvoll, Baliño, Voith, Van der Velden, etc.

Azipod
Azipod is a trademarked azimuth thruster pod design, a marine propulsion unit consisting of a fixed pitch propeller mounted on a steerable gondola ("pod") containing the electric motor driving the propeller, allowing ships to be more maneuverable. They were developed in Finland in the late 1980s jointly by Wärtsilä Marine, Strömberg and the Finnish National Board of Navigation.

Although "Azipod" is a registered trademark and brand name owned by ABB, it is sometimes used as a generic term for podded propulsion units manufactured by other companies.
Ch'iyara Ch'ankha
Ch'iyara Ch'ankha (Aymara ch'iyara black, ch'ankha wool cord, "black wool cord", also spelled Chiara Chanca) is a 4,566-metre-high (14,980 ft) mountain in the Andes of Bolivia. It is situated in the Oruro Department, Pantaleón Dalence Province, Huanuni Municipality. Ch'iyara Ch'ankha lies between  Janq'u Qalani and Ñuñu Qullu in the northwest and Muru Qullu and Juch'uy Yaritani in the south and southeast. The Jalantaña River flows along its eastern side.

Muru Qullu (Oruro)
Muru Qullu (Aymara muru truncated, qullu mountain, "truncated mountain", also spelled Muru Kkollu) is a 4,504-metre-high (14,777 ft) mountain in the Andes of Bolivia. It is situated in the Oruro Department, Pantaleón Dalence Province, Huanuni Municipality. Muru Qullu lies between Ch'iyara Ch'ankha in the northwest and Juch'uy Yaritani in the southeast. The river Jalantaña flows east of Muru Qullu.
Mixed 4 × 400 metres relay
The mixed 4 × 400 metres relay is a mixed-sex 4 × 400 metres relay in which teams field two men and two women. Initially, teams were free to arrange participants in any order.  This created scenarios where mixed genders run on the same leg.  This was changed in March 2022, where team members run in the order: man-woman-man-woman. It was introduced at the 2017 IAAF World Relays and was then held at the 2019 World Athletics Championships in Qatar.

4 × 400 metres relay
The 4 × 400 metres relay or long relay is an athletics track event in which teams consist of four runners who each complete 400 metres or one lap, totaling 1600 meters. It is traditionally the final event of a track meet. The first leg and the first bend of the second leg are run in lanes. Start lines are thus staggered over a greater distance than in an individual 400 metres race; the runners then typically move to the inside of the track. The slightly longer 4 × 440 yards relay, on an Imperial distance, was a formerly run British Commonwealth and American event, until metrication was completed in the 1970s.
UMhlanga, KwaZulu-Natal
uMhlanga, alternatively rendered Umhlanga, is a residential, commercial and resort town  north of Durban on the coast of KwaZulu-Natal, South Africa. It is part of the eThekwini Metropolitan Municipality, which was created in 2000 and includes the greater Durban area. The name means "place of reeds" in the Zulu language, and the correct pronunciation of "hl" in uMhlanga is similar to the Welsh "ll".

uMhlanga is well known for the Gateway Theatre of Shopping, the largest shopping mall in the Southern Hemisphere. It also has the tallest skyscraper in South Africa outside Johannesburg, Pearl Dawn, at 152 m. uMhlanga is one of the fastest-growing towns in South Africa; its population increased 57.5% from 15,387 in the 2001 census to 24,238 in the 2011 census.

Mount Edgecombe
Mount Edgecombe or Mt Edgecombe is a town in KwaZulu-Natal, South Africa, situated just north of Durban, which forms part of eThekwini, the Greater Durban Metropolitan area. Much of the suburb is cordoned off as a gated settlement comprising resorts, golf courses and a retirement home. It was previously a sugar growing area. The population increased by 89% between 2001 and 2011 from 3,874 to 7,323. Its name is derived from Mount Edgcumbe House in Cornwall, England, the family seat of the Earls of Mount Edgcumbe.
2012–13 President's Trophy
The 2012–13 President's Trophy was one of two first-class cricket competitions that were held in Pakistan during the 2012–13 season, the other being the Quaid-e-Azam Trophy. It was the inaugural edition of the President's Trophy. Ten departmental teams each played nine 4-day matches in a round-robin league phase between 3 October and 7 December 2012, with the top two teams contesting the final on 11–14 January 2013.

Sui Northern Gas Pipelines Limited went undefeated in claiming the title, winning six of their nine group matches and beating Habib Bank Limited in the final.

2012–13 Quaid-e-Azam Trophy
The 2012–13 Quaid-e-Azam Trophy was one of two first-class domestic cricket competitions that were held in Pakistan during the 2012–13 season. It was the 55th edition of the Quaid-e-Azam Trophy, and was contested by fourteen teams representing regional cricket associations. It was preceded in the schedule by the President's Trophy, which was contested by ten departmental teams.

The Pakistan Cricket Board made substantial changes to the structure of domestic first-class cricket for the 2012–13 season. Having competed together for the previous five seasons, the regional associations and departments were separated into their own competitions. The format of the Quaid-e-Azam Trophy was also changed, with two round-robin group stages and a final between the top sides in the "Super-Eight" to determine the winner.

Karachi Blues won the Quaid-e-Azam Trophy for the ninth time, and the twentieth by a Karachi team, beating Sialkot by nine wickets in the final.
Celebrating Fred Anderson
Celebrating Fred Anderson is an album by American jazz saxophonist Roscoe Mitchell, which was recorded live in 2015 at Chicago's Constellation and released on Nessa. For this tribute to saxophonist Fred Anderson, Mitchell assembled a quartet with cellist Tomeka Reid, bassist Junius Paul and drummer Vincent Davis and prepared four original pieces and adaptations of two Fred Anderson compositions, "Bernice" and "Ladies in Love".

Roscoe Mitchell
Roscoe Mitchell (born August 3, 1940) is an American composer, jazz instrumentalist, and educator, known for being "a technically superb – if idiosyncratic – saxophonist". The Penguin Guide to Jazz described him as "one of the key figures" in avant-garde jazz; All About Jazz stated in 2004 that he had been "at the forefront of modern music" for more than 35 years. Critic Jon Pareles in The New York Times has mentioned that Mitchell "qualifies as an iconoclast". In addition to his own work as a bandleader, Mitchell is known for cofounding the Art Ensemble of Chicago and the Association for the Advancement of Creative Musicians (AACM).
Wasp-class amphibious assault ship
The Wasp class is a class of landing helicopter dock (LHD) amphibious assault ships operated by the United States Navy. Based on the Tarawa class, with modifications to operate more advanced aircraft and landing craft, the Wasp class is capable of transporting almost the full strength of a United States Marine Corps Marine Expeditionary Unit (MEU), and landing them in hostile territory via landing craft or helicopters as well as providing air support via AV-8B Harrier II attack aircraft or F-35B Lightning II stealth strike-fighters. All Wasp-class ships were built by Ingalls Shipbuilding, at Pascagoula, Mississippi, with the lead ship, USS Wasp, commissioned on 29 July 1989. Eight Wasp-class ships were built, and as of April 2021, seven are in active service, as USS Bonhomme Richard was seriously damaged by fire on 12 July 2020, and subsequently decommissioned in April 2021.

USS Makin Island (LHD-8)
USS Makin Island (LHD-8), a Wasp-class amphibious assault ship, is the second ship of the United States Navy to be named for Makin Island, target of the Marine Raiders' Makin Island raid early on in the United States' involvement in World War II.

Makin Island's task is to embark, deploy, and land elements of a Marine Corps landing force in an amphibious assault by helicopters, landing craft, and amphibious vehicles. The secondary or convertible mission for Makin Island is sea control and power projection.
Jesuit (band)
Jesuit was an American hardcore punk band from Virginia Beach, Virginia. Active in the mid and late 1990s, the group released twelve songs but disbanded before recording a full-length album.

In 2011, Jesuit played reunion shows and released the compilation album Discography, which includes remastered versions of all of the band's songs.

Discography (Jesuit album)
Discography is a compilation album by American rock band Jesuit. Released on April 12, 2011, through Magic Bullet Records, the album features every song recorded by the hardcore punk group during their tenure in the mid and late 1990s. Jesuit released a demo tape, two self-titled EPs, and a Black Sabbath cover before disbanding.

In 2021, Discography was reissued by Dark Operative for Jesuit's 25th anniversary.
Uchechukwu Deborah Ukeh
Uchechukwu Deborah Ukeh (born 12 November 1996) is a Nigerian badminton player. In 2014, she competed at the African Youth Games, and won two gold medals in the girls' doubles and mixed team event. In 2016, she was the women's singles runner-up at the Ivory Coast International, and won the mixed doubles title partnered with Gideon Babalola. In 2017, she and Babalola reached the final round at the Ivory Coast International, but finished in second place. Ukeh also was the runner-up at the Benin International tournament in the women's singles and doubles events. At the national event, Ukeh who represented Edo State, was the women's singles and doubles runner-up at the Katsina Golden Star Badminton Championships.

Gideon Babalola
Gideon Babalola (born 11 February 1994) is a Nigerian badminton player. He was part of the national team that won the gold medal at the 2019 African Games.

In 2016, he won the mixed doubles title at the Ivory Coast International, partnered with Uchechukwu Deborah Ukeh. In 2017, he and Ukeh reached the final round at the Ivory Coast International, but finished runners-up.
Mount Fitzgerald (Nevada)
Mount Fitzgerald is the fourth-highest named mountain in the Ruby Mountains and the fifth-highest in Elko County, in the U.S. state of Nevada. It is the thirty-ninth-highest mountain in the state. It rises from the heads of both Thomas and Right Fork Canyons (branches of Lamoille Canyon), and is also part of the north wall of Box Canyon, making it a true glacial horn. The summit is a high-level ridge and is located about 24 miles (39 km) southeast of the community of Elko, within the Ruby Mountains Wilderness of the Ruby Mountains Ranger District in the Humboldt-Toiyabe National Forest.

Ruby Mountains
The Ruby Mountains (Shoshoni: 'Duka Doya', meaning “Snowcapped”) are a mountain range, primarily located within Elko County with a small extension into White Pine County, in Nevada, United States. Most of the range is included within the Humboldt-Toiyabe National Forest. The range reaches a maximum elevation of 11,387 feet (3,471 m) on the summit of Ruby Dome. To the north is Secret Pass and the East Humboldt Range, and from there the Rubies run south-southwest for about 80 miles (130 km). To the east lies Ruby Valley, and to the west lie Huntington and Lamoille Valleys. The Ruby Mountains are the only range of an introduced bird, the Himalayan snowcock, in North America. The mountain range was named after the garnets found by early explorers. The central core of the range shows extensive evidence of glaciation during recent ice ages, including U-shaped canyons, moraines, hanging valleys, and steeply carved granite mountains, cliffs, and cirques.
F-41 (Michigan county highway)
F-41 is a county-designated highway in the Lower Peninsula of Michigan. It was previously designated as M-171, a former state trunkline highway, until 1960, running from US Highway 23 (US 23) just north of Oscoda, and coming back to US 23 about 20 miles (32 km) south of Alpena. The road runs through rural, forested areas of Iosco and Alcona counties, inland from Lake Huron.

Although it has been a county road since 1960, F-41 was a state highway in 1919 when the state trunkline highway system was formed. It was a segment of the original M-10 that was replaced by US 23 in 1926. Later changes to US 23 shifted that road closer to Lake Huron, and the Michigan State Highway Department (MSHD) created two different routings for M-171 out of the former US 23 routings in the area. The second of these highways has been designated F-41 since 1970.

Oscoda, Michigan
Oscoda (/ɒˈskoʊdə/ ah-SKOH-də) is an unincorporated community and census-designated place (CDP) in Iosco County in the U.S. state of Michigan.  The CDP had a population of 916 at the 2020 census.  The community is located within Au Sable Township and Oscoda Township at the mouth of the Au Sable River along Lake Huron.
Echo Beach (TV series)
Echo Beach is a British soap opera created by Tony Jordan which broadcast on ITV from 10 January to 21 March 2008, lasting only one series of twelve episodes. It stars Martine McCutcheon, Jason Donovan and Hugo Speer, and is set in the fictional Cornish coastal town of Polnarren. The series was produced by Kudos for ITV, while Jordan and Jane Featherstone served as executive producers.

The show's title refers to the Canadian song Echo Beach, by Martha and The Muffins. A cover version of the song, by Australian singer-songwriter Gabriella Cilmi, was recorded for the series' theme.

Jason Donovan
Jason Sean Donovan (born 1 June 1968) is an Australian actor and singer. He initially achieved fame in the Australian soap Neighbours, playing Scott Robinson, before beginning a career in music. In 1988 Jason was signed to PWL and has sold estimated 3 million records. His debut album Ten Good Reasons was the highest-selling album in the UK in 1989, with sales of over 1.5 million. He has had four UK No. 1 singles. He has also appeared in several stage musicals, most prominently in the lead role of Joseph and the Amazing Technicolor Dreamcoat in the early 1990s.
Nick Bucci (American football)
Nicholas Bucci Sr. (February 10, 1932 – February 8, 2019) was an American football back. He was inducted into the Delaware Sports Museum and Hall of Fame for his play at Claymont High School, where he was the first "Delaware Athlete of the Year" after leading the state with 149 points in 1949. He later played college football for Florida and Delaware before spending three years with the Marcus Hook Athletic Association of the Wilmington Football League, winning two championships.

Wilmington Football League
The Wilmington Football League, also known as the Wilmington Football Association (1930–1935, 1940–1941), was a semi-professional American football league that existed from 1929 to 1956. It was based in Wilmington, Delaware. From 1932 to 1935, the league was split into the Wilmington City Football League and Wilmington Football Association.
Good Morning Britain
Good Morning Britain (often abbreviated to GMB) is a British breakfast television programme that is broadcast on ITV. It first aired on 28 April 2014 and is broadcast live every weekday from 6:00 am to 9:30 am across the United Kingdom. The programme features a wide variety of news, interviews, politics, sport, entertainment, competitions and weather as well as local news bulletins delivered by the ITV regions. The programme is currently presented by Susanna Reid, Kate Garraway, Ranvir Singh, Richard Madeley and Ed Balls.

Lorraine (TV programme)
Lorraine is a British breakfast television programme that is broadcast on ITV. Launched on 6 September 2010, it is presented by Lorraine Kelly and broadcasts live every weekday from 9:30 a.m. to 10:00 a.m. The programme features a variety of showbiz, fashion, health, food, celebrity interviews and competitions.
Mariana Cox Méndez
Mariana Cox Méndez (also, Mariana Cox-Stuven; pseudonyms, Shade and Oliver Brand; 1871 – September 8, 1914) was a Chilean writer, feminist, essayist and novelist. In addition to novels and short stories, she wrote pieces in the newspaper El Mercurio, La Union, and La Nación.

Cox was born in Punta Arenas. She was condemned and criticized by Chilean society because she wrote for the media. Her work can be framed within the so-called feminismo aristocrático, which includes her contemporaries such as Inés Echeverría Bello, María Mercedes Vial, Teresa Wilms Montt, María Luisa Fernández de García Huidobro, and Ximena Morla Lynch. Her second marriage was to Juan Stuven González. She had a son, Ivan. She died in Paris.

María Mercedes Vial
María Mercedes Vial Solar (1863–1942), also known as María Mercedes Vial de Ugarte  or by her literary pseudonym Serafia, was a Chilean feminist writer and novelist.

Her parents were Wenceslao Vial y Guznián and Luisa Solar y Marín.

For some authors, her work can be framed within so-called "aristocratic feminism", along with other writers such as Inés Echeverría Bello, Mariana Cox Méndez, Teresa Wilms Montt, María Luisa Fernández, and the sisters Ximena and Carmen Morla Lynch.
Jonathan Raymond
Jonathan Raymond (born June 26, 1971), usually credited Jon Raymond, is an American writer living in Portland, Oregon. He is best known for writing the novels The Half-Life and Rain Dragon, and for writing the short stories and novels adapted for the films Old Joy, Wendy and Lucy, and First Cow, all directed by Kelly Reichardt, with whom he co-wrote the screenplays.

As a screenwriter, Raymond wrote the original scripts for Meek's Cutoff and Night Moves. He was nominated for a Primetime Emmy for his teleplay writing on the HBO miniseries, Mildred Pierce.

Kelly Reichardt
Kelly Reichardt (/ˈraɪkɑːrt/ RYE-kart; born March 3, 1964) is an American film director and screenwriter. She is known for her minimalist films closely associated with slow cinema, many of which deal with working-class characters in small, rural communities.

Reichardt made her feature film debut with River of Grass (1994) and subsequently directed a series of films set and filmed in Oregon: the dramas Old Joy (2006) and Wendy and Lucy (2008); the Western Meek's Cutoff (2010); and the thriller Night Moves (2013). In 2016, she wrote and directed the Montana-set drama Certain Women. Since 2019, Reichardt has returned to directing Oregon-set dramas, with First Cow (2019) and Showing Up (2022). Reichardt's ninth film, The Mastermind, premiered at the 2025 Cannes Film Festival.
Michele Ferrero
Michele Ferrero (Italian pronunciation: [miˈkɛːle ferˈrɛːro]; 26 April 1925 – 14 February 2015) was an Italian billionaire businessman. He owned the chocolate manufacturer Ferrero SpA, Europe's second-largest confectionery company (at the time of his death), which he developed from the small bakery and café of his father in Alba, Piedmont. His first big success was his work with Francesco Rivella in adding vegetable oil to the traditional gianduja paste to make the popular spread Nutella.

Nutella
Nutella (UK: /nʌˈtɛlə/ nuh-TEL-ə, US: /nuːˈtɛlə/ ⓘ noo-TEL-ə, Italian: [nuˈtɛlla]; stylized in all lowercase) is a brand of sweetened hazelnut cocoa spread. Nutella is manufactured by the Italian company Ferrero and was introduced in 1964, although its first iteration dates to 1963.