hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Solving quadratic equations with continued fractions
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is

where a ≠ 0.

The quadratic equation on a number  can be solved using the well-known quadratic formula, which can be derived by completing the square. That formula always gives the roots of the quadratic equation, but the solutions are expressed in a form that often involves a quadratic irrational number, which is an algebraic fraction that can be evaluated as a decimal fraction only by applying an additional root extraction algorithm.

If the roots are real, there is an alternative technique that obtains a rational approximation to one of the roots by manipulating the equation directly. The method works in many cases, and long ago it stimulated further development of the analytical theory of continued fractions.

Lucas sequence
In mathematics, the Lucas sequences  and  are certain constant-recursive integer sequences that satisfy the recurrence relation

where  and  are fixed integers. Any sequence satisfying this recurrence relation can be represented as a linear combination of the Lucas sequences  and

More generally, Lucas sequences  and  represent sequences of polynomials in  and  with integer coefficients.

Famous examples of Lucas sequences include the Fibonacci numbers, Mersenne numbers, Pell numbers, Lucas numbers, Jacobsthal numbers, and a superset of Fermat numbers (see below). Lucas sequences are named after the French mathematician Édouard Lucas.
Jane Scarpantoni
Jane Scarpantoni (born 1960) is an American classically trained cello player, who has played on a number of alternative rock albums.

She was a member of Hoboken, New Jersey's Tiny Lights in the mid-1980s, then went on to play with other musicians especially those associated with the Hoboken underground rock scene of the 1980s and early 1990s, including Silverchair, Bruce Springsteen, Sheryl Crow, Patti Smith, Richard Barone, R.E.M., Indigo Girls, 10,000 Maniacs, Throwing Muses, Kristin Hersh, Lou Reed, Chris Cacavas, Bob Mould, John Lurie's Lounge Lizards, Boo Trundle, Train and many others.

Underground music
Underground music is music with practices perceived as outside, or somehow opposed to, mainstream popular music culture. Underground styles lack the commercial success of popular music movements, and may involve the use of avant-garde or abrasive approaches. Underground music may be perceived as expressing sincerity and creative freedom in opposition to those practices deemed formulaic or market-driven. Tying into broader anti-establishment themes, counterculture music can refer to a web of various nonconforming social groups that distinguish themselves from mainstream society.
James Vandewater
James Vandewater is a Canadian film editor. He is most noted at a two-time Canadian Screen Award nominee for Best Editing, receiving nods at the 4th Canadian Screen Awards in 2016 for Sleeping Giant, and at the 12th Canadian Screen Awards in 2024 for Infinity Pool.

He was also credited as a producer of Sleeping Giant, which was a CSA nominee for Best Picture in 2016.

His other editing credits have included the films We Ate the Children Last, And Now a Word from Our Sponsor, The Other Half, The Grizzlies, Body and Bones, Please Speak Continuously and Describe Your Experiences as They Come to You, See for Me, V/H/S/94, Seance and Sweet Angel Baby, and the television series New Eden, Tales from the Territories and Dark Side of the Ring.

Please Speak Continuously and Describe Your Experiences as They Come to You
Please Speak Continuously and Describe Your Experiences as They Come to You is a 2019 Canadian science fiction thriller short film directed by Brandon Cronenberg. The film stars Deragh Campbell as Emily, an institutionalized woman who is describing her dreams to psychiatrist Dr. Fino (Neil Bennett).

The film premiered at the 2019 Cannes Film Festival, and had its North American premiere at the 2019 Toronto International Film Festival. In December 2019, the film was named to TIFF's annual year-end Canada's Top Ten list for short films.
Jim Chambers
Jim Chambers (March 16, 1927 – December 31, 1997) was a Canadian halfback who played in the Western Interprovincial Football Union.

A native of Montreal, and a graduate of the Westmount Warriors junior program, Chambers won the Dr. Beattie Martin Trophy for Canadian rookie of the year in the west by rushing for 513 yards and an amazing 9.9 yard average for the Edmonton Eskimos in 1951 (coupled with team mate and all-star Normie Kwong).

He played 3 seasons for the Eskimos, rushing for 921 yards and catching 38 passes, but when all-star Rollie Miles joined the team he saw little playing time. He finished his career with the 1954 inaugural BC Lions team, playing 5 games, rushing for 27 yards and catching 4 passes. He died on December 31, 1997, in Toronto, Ontario.

Dr. Beattie Martin Trophy
The Dr. Beattie Martin Trophy is a Canadian Football League award, given to the most outstanding Canadian player in the West Division.  Each team nominates a player for this award, from which the winner is chosen.  Either the winner of this trophy or the winner of the Lew Hayman Trophy will also win the Canadian Football League Most Outstanding Canadian award.

The Martin trophy is named after former Saskatchewan Roughriders president Beattie Martin.  Originally presented in 1949, it served as the Western Interprovincial Football Union's award for the outstanding Canadian rookie until 1974.  As part of the failed American expansion, the Martin trophy was awarded in 1995 to the North Division's outstanding Canadian.
Politics of Jiangxi
The politics of Jiangxi Province in the People's Republic of China is structured in a dual party-government system like all other governing institutions in mainland China.

The Governor of Jiangxi is the highest-ranking official in the People's Government of Jiangxi. However, in the province's dual party-government governing system, the Governor has less power than the Jiangxi Chinese Communist Party (CCP) Provincial Committee Secretary, colloquially termed the "Jiangxi CCP Party Chief".

Lu Xinshe
Lu Xinshe (Chinese: 鹿心社; pinyin: Lù Xīnshè; born November 1956) is a Chinese politician who served as Party Secretary of Guangxi Zhuang Autonomous Region from 2018 to 2021. Prior to becoming Guangxi party chief, he was Governor of Jiangxi from 2011 to 2016, and Party Secretary of Jiangxi from 2016 to 2018.
Buhse
Buhse or Bühse is a surname. Notable people with this surname include:

Friedrich Alexander Buhse (1821–1898), Baltic-German botanist

Rudolf Buhse (1905–1997), German military officer

Werner Bühse (born 1951), German sports shooter

Rudolf Buhse
Rudolf Gustav Buhse (10 April 1905  – 26 November 1997) was an officer in the Wehrmacht of Nazi Germany during World War II and a Brigadegeneral in Bundeswehr.  He was a recipient of the Knight's Cross of the Iron Cross. Buhse surrendered to the Allied troops during the fall of Tunisia in 1943.
The Madness (TV series)
The Madness is an American action conspiracy thriller limited series created by Stephen Belber for Netflix. Colman Domingo stars as a media pundit who must clear his name after he accidentally stumbles upon a murder in the woods. The series premiered on November 28, 2024, with eight episodes.

Action fiction
Action fiction is a genre in literature that focuses on stories involving high-stakes, high-energy, and fast-paced events. This genre includes a wide range of subgenres, such as spy novels, adventure stories, tales of terror, intrigue ("cloak and dagger"), and mysteries.  These kinds of stories utilize suspense, the tension that is built up when the reader wishes to know how the conflict between the protagonist and antagonist is going to be resolved or the solution to a mystery of a thriller.

The intricacies of human relationships or the nuances of philosophy and psychology are rarely explored in action fiction, typically being fast-paced mysteries that merely seek to provide the reader with an exhilarating experience.

Action fiction can also be a plot element of non-literary works such as graphic novels and film.
Moses M. Young
Moses Mackenzie Young (1878–1947) was a mariner, merchant and politician in Newfoundland. He represented Harbour Grace in the Newfoundland House of Assembly from 1913 to 1919.

The son of James Young, he was born in Upper Island Cove and was educated in Spaniard's Bay. Young became a master mariner and skipper. In 1900, he began operating a business supplying fishermen on the Labrador coast. He was named a justice of the peace in 1920. From 1929 to 1934, he was an inspector for outport roads, bridges and other public works. He was a freemason and a member of the Orange Order. Young married Mary Ann Squires.

Labrador
Labrador (/ˈlæbrədɔːr/) is a geographic and cultural region within the Canadian province of Newfoundland and Labrador.  It is the primarily continental portion of the province and constitutes 71% of the province's area but is home to only 6% of its population. It is separated from the island of Newfoundland by the Strait of Belle Isle. It is the largest and northernmost geographical region in the four Atlantic provinces.

Labrador occupies most of the eastern part of the Labrador Peninsula. It is bordered to the west and south by the province of Quebec. Labrador also shares a small land border with the territory of Nunavut on Killiniq Island.

The indigenous peoples of Labrador include the Northern Inuit of Nunatsiavut, the Southern-Inuit of NunatuKavut, and the Innu of Nitassinan.
Árbæjarhverfi í Ölfusi
Árbæjarhverfi í Ölfusi (Icelandic pronunciation: [ˈaurˌpaiːjarˌkʰvɛrvɪ i ˈœlvʏsɪ, -xʷɛrvɪ]) is a municipality in Árnessýslu, Iceland, with a population of 81 people in 2016. It is the smallest municipality of Iceland in terms of the number of inhabitants. There is now only one dairy farm operating in Ölfusi (Hvammur), but they were numerous in the past. The municipality is composed of the residential areas of Hveragerði, Þorlakshofn Árbæjarhverfi considered to town hall that Hveragerði. In 2011, the Ölfus assigned a specific postal code, 816, to distinguish it from other municipality of the South.

Counties of Iceland
Iceland was historically divided into 23 counties known as sýslur (Icelandic pronunciation: [ˈsistlʏr̥]), and 23 independent towns known as kaupstaðir ([ˈkʰœypˌstaːðɪr̥]). Iceland is now split up between 24 sýslumenn (magistrates) that are the highest authority over the local police (except in Reykjavík where there is a special office of police commissioner) and carry out administrative functions such as declaring bankruptcy and marrying people outside of the church. The jurisdictions of these magistrates often follow the lines of the historical counties, but not always. When speaking of these new "administrative" counties, the custom is to associate them with the county seats rather than using the names of the traditional counties, even when they cover the same area.
Jayli Wolf
Jayli Wolf (born 23 November) is a Canadian singer-songwriter, actress, and filmmaker. She began her music career in collaboration with Hayden Wolf under the name Once A Tree. As a solo artist, she broke out with her single and music video "Child of the Government", which made CBC Music's top 10 Canadian songs of 2021 and won Best Music Video at the Venice Short Film Awards.

For her debut solo EP Wild Whisper, Wolf was nominated for Contemporary Indigenous Artist of the Year at the Juno Awards of 2022. She was nominated for Best Supporting Actress at the American Indian Film Festival for her performance in the film Run Woman Run (2021).

American Indian Film Festival
The American Indian Film Festival is an annual non-profit film festival in San Francisco, California, United States. It is the world's oldest venue dedicated  solely to Native American/First Nations films and prepared the way for the 1979 formation of the American Indian Film Institute.

According to the institute, the Festival was first presented in Seattle, Washington in 1975 and moved in 1977 to San Francisco, where it remains today. In 1979, the Festival was incorporated.

Over 3,100 films have been screened from Native American/First Nations communities in the U.S. and Canada, and the festival includes events such as film screenings, panel discussions, an awards ceremony and networking events.

This festival is not to be confused by the Native American Film and Video Festival, which was founded in 1979.
Concord School District (Arkansas)
Concord School District is a public school district based in Concord, Arkansas, United States. The school district encompasses 203.23 square miles (526.4 km2) of land.

In Cleburne County the district includes Concord, Drasco, Wilburn, and a very small portion of Tumbling Shoals. The district also includes portions of Independence County and Stone County. It also serves two unincorporated areas: Locust Grove and Ida.

The district proves comprehensive education for more than 500 prekindergarten through grade 12 students while employing more than 100 teachers and staff. The district and its schools are accredited by the Arkansas Department of Education.

Ida, Arkansas
Ida is an unincorporated community in Cleburne County, Arkansas, United States. Ida is located on Arkansas Highway 25, 9 miles (14 km) northeast of Heber Springs. Ida has a post office with ZIP code 72546., Ida also hosts a hair-salon and convenience store
Canoe Lake (Scarfe Township)
Canoe Lake is a lake in geographic Scarfe Township in Algoma District, Ontario, Canada, about 10 kilometres (6 mi) north of the community of Blind River. The lake is shaped like a compressed letter "Z" with the horizontal strokes of the "Z" aligned northwest to southeast. The more northerly arm of the lake is about 4.6 kilometres (2.9 mi) long and the southerly arm 3 kilometres (2 mi). The lake occupies a total envelope of about 6 kilometres (4 mi) by 1.6 kilometres (1.0 mi). The primary inflow and outflow is the Blind River, which leads into Lake Huron. The outflow point is a small hydroelectric dam.

There is a second Canoe Lake in Algoma District further east, Canoe Lake (The North Shore), part of the Serpent River system.

Serpent River
The Serpent River is a tributary of the Mégiscane River, flowing into the townships of Trévet, Vasson and Noiseux, in the territory of Senneterre, in La Vallée-de-l'Or Regional County Municipality (RCM), in the administrative region of Abitibi-Témiscamingue, in Quebec, in Canada.

The Serpent River flows entirely in forest area, west of the Gouin Reservoir. Forestry is the main economic activity of this hydrographic slope; recreational tourism activities, second. The surface of the river is usually frozen from mid-December to mid-April.

The south side of the Snake River Head Zone is served by the Canadian National Railway and a forest road from the west along the North Railway and then along the shore. South of the upper part of the Serpent River.
Ito Ogawa
Ito Ogawa (小川 糸, Ogawa Ito) is a Japanese novelist, lyricist and translator. She was born in 1973 in Yamagata, Yamagata.

Several of her books have gained international recognition, such as The Restaurant of Love Regained (2008; Japanese Title: 食堂かたつむり - Shokudō Katatsumuri), described as a "foodie fable", which was made into a film in 2010 under the title "Shokudo Katatsumuri" ("Rinco's Restaurant").

Foodie
A foodie is a person who has an ardent or refined interest in food, and who eats food not only out of hunger but also as a hobby. The related terms "gastronome" and "gourmet" define roughly the same thing, i.e. a person who enjoys food for pleasure; the connotation of "foodie" differs slightly—an everyday person with a love for food culture and different foods. Some, such as Paul Levy, say the foodie can still be a "foodist". Foodie in slang can be used to describe someone who searches out food and bases their schedule around that endeavor.
Cressman
Cressman is a surname. Notable people with the surname include:

Beverley Cressman, a British actress

Dave Cressman (born 1950), retired Canadian ice hockey left winger

George P. Cressman (1919–2008), American meteorologist and National Weather Service director (1965-1979)

Glen Cressman (born 1934), retired Canadian professional ice hockey forward

Joseph Cressman Thompson or Joseph Cheesman Thompson, M. D., (1874–1943), career medical officer in the United States Navy

Luther Cressman (1897–1994), American anthropologist

Tom Cressman, murdered by Jane Andrews, a one-time Royal dresser for Sarah, the Duchess of York

Dave Cressman
David Gregory Cressman (born January 2, 1950) is a Canadian retired ice hockey left winger. He played 85 games in the NHL for the Minnesota North Stars over the 1974–75 and 1975–76 NHL seasons.

Cressman was born in Kitchener, Ontario. He was drafted by the Minnesota North Stars in the fourth round  (48th overall) of the 1970 NHL Amateur Draft, but he did not begin to play professional hockey until after he had completed his university education to become a teacher.
Peter A. Boodberg
Peter Alexis Boodberg (born Pyotr Alekseyevich von Budberg; 8 April 1903 – 29 June 1972) was a Russian-American scholar, linguist, and sinologist who taught at the University of California, Berkeley for 40 years. Boodberg was influential in 20th century developments in the studies of the development of Chinese characters, Chinese philology, and Chinese historical phonology. He has been described as "one of the most original and commanding scholars" of the 20th century.

Sinology
Sinology, also referred to as China studies, is a subfield of area studies or East Asian studies involved in social sciences and humanities research on China. It is an academic discipline that focuses on the study of the Chinese civilization primarily through Chinese language, history, culture, literature, philosophy, art, music, cinema, and science. Its origin "may be traced to the examination which Chinese scholars made of their own civilization."

The academic field of sinology often refers to Western scholarship. Until the 20th century, it was historically seen as equivalent to philology concerning the Chinese classics and other literature written in the Chinese language. Since then, the scope of sinology has expanded to include Chinese history and palaeography, among other subjects.
Adam Thompson (politician)
Adam Thompson (born 30 November 1990) is a British Labour Party politician who has served as Member of Parliament (MP) for Erewash since 2024.

He stood for the neighbouring Amber Valley constituency for the previous general election in 2019.

Sandiacre
Sandiacre /ˈsændieɪkər/ ⓘ is a town and civil parish in the borough of Erewash, Derbyshire, England; it adjoins the border with Nottinghamshire. The population of the parish was 8,889 at the 2011 Census.
Grammetal (Verwaltungsgemeinschaft)
Grammetal is a former Verwaltungsgemeinschaft in the district Weimarer Land in Thuringia, Germany. The seat of the Verwaltungsgemeinschaft was in Isseroda. It was disbanded in December 2019, when its members merged into the new municipality Grammetal.

The Verwaltungsgemeinschaft Grammetal consisted of the following municipalities:

Bechstedtstraß

Daasdorf am Berge

Hopfgarten

Isseroda

Mönchenholzhausen

Niederzimmern

Nohra

Ottstedt am Berge

Troistedt

50°57′22″N 11°13′16″E﻿ / ﻿50.956°N 11.221°E﻿ / 50.956; 11.221

Hopfgarten, Thuringia
Hopfgarten (German pronunciation: [ˈhɔpfˌɡaʁtn̩]) is a village and a former municipality in the Weimarer Land district of Thuringia, Germany. Since December 2019, it is part of the municipality Grammetal.
Thomas Dixon (architect)
Thomas Dixon (1819 - July 25, 1886) was a Presbyterian architect born in Wilmington, Delaware and one of the founders of the Baltimore chapter of AIA.  He was the father of minister Thomas Freeman Dixon, an 1893 graduate of Princeton Theological Seminary. He partnered with his brother, James M. Dixon, from 1851 until James's death in 1863. In 1871, he partnered with another well-known Baltimore architect Charles L. Carson for some time doing business from their offices at 117 Baltimore Street as Thomas Dixon and Charles L. Carson until sometime before 1877 when the partnership was dissolved. In 1827, he was elected Honorary Academician at the National Academy of Design.

He was married to Rebecca Howard, with whom he had one son: Rev. L. Freeman Dixon.  He was living at 253 North Eutaw Street in Baltimore at the time of his death.

Baltimore County, Maryland
Baltimore County is the third-most populous county in the U.S. state of Maryland. The county is part of the Central Maryland region of the state. Baltimore County partly surrounds but does not include the independent city of Baltimore. It is part of the Northeast megalopolis, which stretches from Northern Virginia in the south to Boston in the north and includes major American population centers, including New York City and Philadelphia. Major economic sectors in the county include education, government, and health care. As of the 2020 census, the population was 854,535. The county is home to several universities, including Goucher College, Stevenson University, Towson University, and University of Maryland, Baltimore County.
2010 UCI Road World Championships – Men's under-23 road race
The Men's under-23 road race of the 2010 UCI Road World Championships cycling event took place on 1 October in Melbourne, Australia.

Home rider Michael Matthews claimed Australia's first gold medal of the championships by winning the sprint finish at the end of the race, outsprinting Germany's John Degenkolb, who took silver. Time trial champion Taylor Phinney and Guillaume Boivin of Canada shared the bronze medal after Tissot's photo finish system could not split the riders. Phinney became the sixth rider to medal in both the time trial and the road race in the under-23s category.

Tissot
Tissot SA (French pronunciation: [ti'so]) is a Swiss luxury watch brand owned by the Swatch Group. The company was founded in Le Locle, Switzerland by Charles-Félicien Tissot and his son, Charles-Émile Tissot, in 1853.

Tissot is not associated with Mathey-Tissot, another Swiss watchmaking firm.
1977 LPGA Tour
The 1977 LPGA Tour was the 28th season since the LPGA Tour officially began in 1950. The season ran from February 11 to November 13. The season consisted of 32 official money events. Debbie Austin and Judy Rankin won the most tournaments, five each. Rankin led the money list with earnings of $122,890, becoming the first player to win $100,000 in a season.

There were six first-time winners in 1977: Debbie Austin, Silvia Bertolaccini, Vivian Brownlee, Bonnie Lauer, Debbie Massey, and Hollis Stacy.

The tournament results and award winners are listed below.

Debbie Massey
Debbie Massey (born November 5, 1950) is an American professional golfer.

Before joining the LPGA Tour, Massey worked as a skiing instructor. She was LPGA rookie of the year in 1977.

Massey won three events on the LPGA Tour, not including back-to-back victories in the Women's British Open, which is now one of the LPGA's major championships.