hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Polynomial solutions of P-recursive equations
In mathematics a P-recursive equation can be solved for polynomial solutions. Sergei A. Abramov in 1989 and Marko Petkovšek in 1992 described an algorithm which finds all polynomial solutions of those recurrence equations with polynomial coefficients. The algorithm computes a degree bound for the solution in a first step. In a second step an ansatz for a polynomial of this degree is used and the unknown coefficients are computed by a system of linear equations. This article describes this algorithm.

In 1995 Abramov, Bronstein and Petkovšek showed that the polynomial case can be solved more efficiently by considering power series solution of the recurrence equation in a specific power basis (i.e. not the ordinary basis ).

Other algorithms which compute rational or hypergeometric solutions of a linear recurrence equation with polynomial coefficients also use algorithms which compute polynomial solutions.

Ansatz
In physics and mathematics, an ansatz (/ˈænsæts/; German: [ˈʔanzats] ⓘ, meaning: "initial placement of a tool at a work piece", plural ansatzes or, from German, ansätze /ˈænsɛtsə/; German: [ˈʔanzɛtsə] ⓘ) is an educated guess or an additional assumption made to help solve a problem, and which may later be verified to be part of the solution by its results.
EMD F9
The EMD F9 is a 1,750 horsepower (1,300 kW) Diesel-electric locomotive produced between February 1953 and May 1960 by the Electro-Motive Division of General Motors (EMD) and General Motors Diesel (GMD). It succeeded the F7 model in GM-EMD's F-unit sequence. Final assembly was at GM-EMD's La Grange, Illinois plant. The F9 was also built in Canada by General Motors Diesel at their London, Ontario plant.  A total of 92 cab-equipped lead A units and 156 cabless booster B units were built. The F9 was the fifth model in GM-EMD's highly successful "F" series of cab unit diesel locomotives.

By the time cab units such as the F9 were built, railroads were turning to the road switcher-style of locomotive, as they had much better visibility from the cab without the need to lean out the window. The F9 was succeeded in most part by the EMD GP9.

Road switcher locomotive
A road switcher locomotive is a type of railroad locomotive 
designed to both haul railcars in mainline service and shunt them in railroad yards. Both type and term are North American in origin, although similar types have been used elsewhere.

A road switcher must be able to operate and have good visibility in both directions. As a road engine, a road switcher must be able to operate at road speeds, with suitable power and cooling capacity. It has high-speed road trucks rather than low-speed switcher only trucks.

Modern road trucks are always equipped with "frictionless" roller bearings, whereas switcher trucks were almost always equipped with "friction" plain bearings, until plain bearings were outlawed in interchange service on both railcars and locomotives.
Andy Burnham 2015 Labour Party leadership campaign
In 2015, Andy Burnham, the Member of Parliament for Leigh, stood as a candidate for leadership of the Labour Party in the United Kingdom. His candidacy was announced upon the release of a YouTube video on 15 May 2015. His announcement involved the promise to "rediscover the beating heart of Labour" and appeal to the aspirations "of everyone".

Burnham was initially considered the frontrunner in the race to succeed Ed Miliband. However the emergence of Jeremy Corbyn as the candidate representing the left-wing faction of the party, in June 2015, and the consequent growth in support for Corbyn's campaign saw Burnham's lead diminish to the point that Corbyn overtook him – this was first reflected in a YouGov poll published by The Times on 21 July.

Leigh (UK Parliament constituency)
Leigh was a constituency in Greater Manchester represented in the House of Commons of the UK Parliament.

From 2019 to 2024, Leigh was held by James Grundy of the Conservative Party. Before this, the seat was represented by Andy Burnham of the Labour Party, who served as the MP from 2001, and Shadow Home Secretary in Jeremy Corbyn's Shadow Cabinet until October 2016. Burnham stood down following his victory at the 2017 Greater Manchester mayoral election, and was succeeded by the Labour and Co-operative Party's Jo Platt who was MP from 2017 to 2019. Burnham, who was re-elected as Mayor of Greater Manchester in 2021 with an increased majority, still resides in the Leigh constituency.

The constituency was abolished as a result of the 2023 Periodic Review of Westminster constituencies. With the addition of the town of Atherton, it was reformed as Leigh and Atherton, and was first contested in the 2024 general election.
Andy Talley
Andrew J. Talley (born April 6, 1943) is a retired American football coach. He served as the head football coach at St. Lawrence University in Canton, New York from 1979 to 1983 and Villanova University from 1985 to 2016, compiling a career college football coaching record of 257–155–2.

Talley was hired by Villanova in 1984 to revive the Wildcats football program, which had been dormant since 1980. In 1997, he won the AFCA Coach of the Year Award and the Eddie Robinson Award. Talley led his 2009 Villanova team to an NCAA Division I Football Championship. He is a 1967 graduate of Southern Connecticut State University, where he played college football as a defensive back. Talley was inducted into the College Football Hall of Fame as a coach in 2020.

Southern Connecticut State University
Southern Connecticut State University (Southern Connecticut, Southern Connecticut State, SCSU, or simply "Southern") is a public research university in New Haven, Connecticut, United States. Part of the Connecticut State University System, it was founded in 1893 and is governed by the Connecticut Board of Regents for Higher Education. It is classified among "R2: Doctoral Universities – High research activity".
Selwyn Range (British Columbia)
The Selwyn Range is a mountain range in the Canadian Rockies in British Columbia. A subrange of the Park Ranges of the Continental Ranges, it is located west of Jasper National Park, east of Valemount and south of Mount Robson Provincial Park.

It was named after Alfred Selwyn, the first director of the Geological Survey of Canada.

The Fraser River originates in this mountain range, near Fraser Pass.

Jasper National Park
Jasper National Park, in Alberta, Canada, is the largest national park within Alberta's Rocky Mountains, spanning 11,000 km2 (4,200 sq mi). It was established as Jasper Forest Park in 1907, renamed as a national park in 1930, and declared a UNESCO world heritage site in 1984. Its location is north of Banff National Park and west of Edmonton. The park contains the glaciers of the Columbia Icefield, springs, lakes, waterfalls and mountains.
James Van Langenberg
James Arthur Van Langenberg KC (2 March 1866 – 30 April 1915) was the 5th Solicitor General of Ceylon.

James Arthur Van Langenberg was born in Colombo on 2 March 1866, the second son of James Arthur Van Langenberg (1839–1886) Knight Commander of the Papal Order of St. Gregory the Great, advocate and member of the Legislative Council of Ceylon, and Maria Susan née Toussaint (1839–1901). He matriculated at Merton College, Oxford in 1886, and was called to the bar at the Inner Temple in 1888.

On 16 May 1892 he married Francis Ethel Vander Straaten (1867–1948) in St. Mary's Church, Bambalapitiya. They had ten children: Ethel (b.1893), Lillian Eleanor (b.1894), Edith Frances Agatha (b.1895), Beatrix (b.1898), James William (b.1900), Henry (b.1901), Bertha (b.1903), Cyril (b.1906), Arthur (b.1909) and Hugh Patrick (b.1911).

He was appointed Solicitor General of Ceylon in 1912, succeeding James Cecil Walter Pereira, and held the office until 1915. He was succeeded by Thomas Garvin.

Bambalapitiya
Bambalapitiya is a southern coastal neighbourhood of Colombo, Sri Lanka.

The area also known as Colombo 4, spans about 1.5 km2 (370 acres)  along Galle Road. The western boundary of the suburb is the Indian Ocean and it is bordered to the east by Havelock Town, the north by Kollupitiya, and to the south by Wellawatte. It falls within the Kollupitiya (Colpetty) Ward of the Colombo Municipal Council.
Thiobarbituric acid
Thiobarbituric acid is an organic compound and a heterocycle. It is used as a reagent in assaying malondialdehyde (the TBARS assay of lipid peroxidation).

It is also used in Kodak Fogging Developer FD-70, part of the Kodak Direct Positive Film Developing Outfit for making black and white slides (positives).

Heterocyclic compound
A heterocyclic compound or ring structure is a hydrocarbon-based cyclic compound that contains at least one heteroatom as member(s) of its ring(s). Heterocyclic organic chemistry is the branch of organic chemistry dealing with the synthesis, properties, and applications of organic heterocycles.

Examples of heterocyclic compounds include all of the nucleic acids, the majority of drugs, most biomass (cellulose and related materials), and many natural and synthetic dyes.  More than half of known compounds are heterocycles.  59% of US FDA-approved drugs contain nitrogen heterocycles.
The Hot Mikado (1939 production)
The Hot Mikado was a musical theatre adaptation of Gilbert and Sullivan's 1885 comic opera The Mikado with an African-American cast. It was first produced by Mike Todd on Broadway in 1939. It starred Bill "Bojangles" Robinson in the title role, with musical arrangements by Charles L. Cooke and direction by Hassard Short.

New York Public Library for the Performing Arts
The New York Public Library for the Performing Arts, Dorothy and Lewis B. Cullman Center, is located at 40 Lincoln Center Plaza, in the Lincoln Center complex on the Upper West Side in Manhattan, New York City. Situated between the Metropolitan Opera House and the Vivian Beaumont Theater, it houses one of the world's largest collections of materials relating to the performing arts.  It is one of the four research centers of the New York Public Library's Research library system, and it is also one of the branch libraries.
Correll Nunatak
Correll Nunatak (67°35′S 144°14′E﻿ / ﻿67.583°S 144.233°E﻿ / -67.583; 144.233) is a nunatak lying within the western part of Mertz Glacier, about 13 nautical miles (24 km) south of Aurora Peak. It was discovered by the Australasian Antarctic Expedition (1911–14) under Douglas Mawson, who named it for Percy E. Correll, a mechanic with the expedition.

Nunatak
A nunatak (from Inuit nunataq) is the summit or ridge of a mountain that protrudes from an ice field or glacier that otherwise covers most of the mountain or ridge. They often form natural pyramidal peaks. Isolated nunataks are also called glacial islands, and smaller nunataks rounded by glacial action may be referred to as rognons.

The word is of Greenlandic origin and has been used in English since the 1870s.
Wangi-wangi Island
Wangi-wangi Island is in the north-west cluster of the Tukangbesi Islands and is the seat of the Wakatobi Regency, part of the province of Southeast Sulawesi. It covers an area of 191 km2 and had an estimated 61,283 inhabitants in mid 2022. To the west is the Gulf of Kolowana Watabo (Teluk Kolowana Watabo). The Wangi-wangi white-eye (Zosterops paruhbesar) is a recently discovered endangered bird on the island.

Southeast Sulawesi
Southeast Sulawesi (Indonesian: Sulawesi Tenggara, Indonesian pronunciation: [sulaˌwesi t̪əŋˈɡara]; often abbreviated to Sultra, Indonesian pronunciation: [ˈsʊlt̪ra]),  is a province on the island of Sulawesi, forming the southeastern peninsula of that island, together with a number of substantial offshore islands such as Buton, Muna, Kabaena and Wawonii (formerly called Wowoni), together with many smaller islands. It is bordered by South Sulawesi and Central Sulawesi to the north, sharing a maritime border with Maluku and North Maluku to the east and East Nusa Tenggara to the south, as well a very narrow maritime border with East Timor to the south. The capital is the city of Kendari, on the east coast of the peninsula.

The province has no highway road connecting to the rest of the island, and the primary transportation link is a ferry across the Bone Gulf between Watampone (Bone) in South Sulawesi and the port of Kolaka in Southeast Sulawesi.
Daxia River
The Daxia River (Chinese: 大夏河; pinyin: Dàxià hé) or Sangchu (Tibetan: བསང་ཆུ, Wylie: bsang chu) is a tributary of the Yellow River in southern Gansu province in China's west.

The Daxia River starts in eastern Huangnan Tibetan Autonomous Prefecture in Qinghai, then flows easterly through northern Gannan Tibetan Autonomous Prefecture where its drainage basin covers large parts of Hezuo County-level City and Xiahe County. It then flows northeast into Linxia Hui Autonomous Prefecture, where it is crosses the breadth of Linxia County, and Linxia City. Its lower course forms the border between Linxia County and the neighbouring Dongxiang Autonomous County to the east. The river forms a large bay at its mouth in the Liujiaxia Reservoir.

Within Linxia Hui Autonomous Prefecture, the wide valley of Daxia River, flanked on both sides by loess plateaus, is a major agricultural and residential area. Both Hanji town (the county seat of Linxia County) and Linxia City are located in this valley.

Huangnan Tibetan Autonomous Prefecture
Huangnan Tibetan Autonomous Prefecture (simplified Chinese: 黄南藏族自治州; traditional Chinese: 黃南藏族自治州; pinyin: Huángnán Zàngzú Zìzhìzhōu; Tibetan: རྨ་ལྷོ་བོད་རིགས་རང་སྐྱོང་ཁུལ་, Wylie: rma lho bod rigs rang skyong khul) is an autonomous prefecture of eastern Qinghai, northwest China, bordering Gansu to the east. The prefecture has an area of 17,921 km2 (6,919 sq mi) and its seat is in Tongren County.
Blandings (radio series)
The Blandings radio series is a series of radio dramas based on the Blandings Castle stories by British comic writer P. G. Wodehouse. The stories were dramatised by Wodehouse biographer Richard Usborne. The series ran between 1985 and 1992 on BBC Radio 4.

The 1985 episodes are based on six short stories. The first five of these short stories were featured in the collection Blandings Castle and Elsewhere (1935), while the sixth, "The Crime Wave at Blandings", was collected in Lord Emsworth and Others (1937). The later episodes are based on four novels published between 1929 and 1965.

Richard Usborne
Richard Alexander Usborne (16 May 1910 – 21 March 2006) was a journalist, advertising executive, schoolmaster and author. After the publication of his book Wodehouse at Work in 1961 he became regarded as the leading authority on the works of P. G. Wodehouse. He published or contributed to nine more books on the subject. He adapted eight Wodehouse novels and several other of the author's works for broadcast on BBC radio between 1979 and 1996.
Mela Lee
Mela Lee is an American voice actress based in Los Angeles who voices characters on a number of animated series, films, television shows and video games. She is best known as the voice of Jade in Mortal Kombat 11. In anime, she voices lead characters Rin Tosaka, in Fate/stay night as well as Fate/stay night: Unlimited Blade Works and the film trilogy Fate/stay night: Heaven's Feel; Yuki Cross in Vampire Knight; Shinku the fifth Rozen Maiden doll in Rozen Maiden; and Erika Karisawa in the Durarara!! series, which was broadcast on Adult Swim. In animation, she is the voice of Tikki in Miraculous: Tales of Ladybug & Cat Noir, which airs on Disney Channel, Disney+ 
and Netflix, and Kikimora in The Owl House. In video games, she voices Lifeline in Apex Legends, Rena Ryūgū in Higurashi When They Cry, Rachel Alucard in the BlazBlue series, Tiki in the Fire Emblem series and Super Smash Bros. Ultimate, and Sharon Kreuger and Scarlet in The Legend of Heroes: Trails of Cold Steel series.

Durarara!!
Durarara!! (デュラララ!!), shortened to DRRR!! in some official materials, is a Japanese light novel series written by Ryohgo Narita, with illustrations by Suzuhito Yasuda. Durarara!! tells the story of a dullahan working as an underworld courier in Ikebukuro, an internet-based anonymous gang called the Dollars, and the chaos that unfolds around the most dangerous people in Ikebukuro. The series ran for thirteen volumes, published by ASCII Media Works under their Dengeki Bunko imprint. A sequel series, titled Durarara!! SH set two years after the events of the original series, started in 2014.

A manga adaptation of the same name, first illustrated by Akiyo Satorigi and later by Aogiri, has been serialized in Square Enix's shōnen manga magazine Monthly GFantasy since July 2009. A 24-episode anime television series adaptation was broadcast from January to June 2010. It was followed by a 36-episode second season, titled Durarara!!×2, broadcast from January 2015 to March 2016.
23S rRNA (uracil1939-C5)-methyltransferase
23S rRNA (uracil1939-C5)-methyltransferase (EC 2.1.1.190, RumA, RNA uridine methyltransferase A, YgcA) is an enzyme with systematic name S-adenosyl-L-methionine:23S rRNA (uracil1939-C5)-methyltransferase. This enzyme catalyses the following chemical reaction

S-adenosyl-L-methionine + uracil1939 in 23S rRNA  S-adenosyl-L-homocysteine + 5-methyluracil1939 in 23S rRNA

The enzyme specifically methylates uracil1939 at C5 in 23S rRNA.

S-Adenosyl-L-homocysteine
S-Adenosyl-L-homocysteine (SAH) is the biosynthetic precursor to homocysteine.  SAH is formed by the demethylation of S-adenosyl-L-methionine. Adenosylhomocysteinase converts SAH into homocysteine and adenosine.
MV Stolt Commitment
MV Stolt Commitment is a chemical tanker owned by Stolt Tankers that collided with, and subsequently sank, the general cargo ship Thorco Cloud in the Singapore Strait in December 2015. The collision resulted in six casualties from a total crew of 12 on the Thorco Cloud, and minor structural damage to the Stolt Commitment.

Singapore Strait
The Singapore Strait is a 113 km-long (70 mi), 19 km-wide (12 mi) strait between the Strait of Malacca in the west and the South China Sea in the east. Singapore is on the north of the channel, and the Indonesian Riau Islands are on the south. The two countries share a maritime border along the strait.

It includes Keppel Harbour and many small islands. The strait provides the deepwater passage to the Port of Singapore, which makes it very busy. Approximately 2,000 merchant ships traverse the waters on a daily basis in 2017. The depth of the Singapore Strait limits the maximum draft of vessels going through the Straits of Malacca, and the Malaccamax ship class.
Haw wars
The Haw Wars (Thai: สงครามปราบฮ่อ) were triggered by southern Chinese paramilitary refugee gangs invading parts of Northern Thailand, Laos and Tonkin from 1865–1890. Forces invading Lao domains were ill-disciplined and freely demolished Buddhist temples. Not knowing these were remnants of secret societies, the invaders were wrongly called Haw (Lao: ຫໍ້; Thai: ฮ่อ; Chinese: Hao). Forces sent by King Rama V successfully fought the various groups, the last of which eventually disbanded in 1890.

Tự Đức
Tự Đức (Hanoi: [tɯ̂ ɗɯ́k], chữ Hán: 嗣德, lit. 'inheritance of virtues', 22 September 1829 – 19 July 1883) (personal name: Nguyễn Phúc Hồng Nhậm, also Nguyễn Phúc Thì) was the fourth emperor of the Nguyễn dynasty of Vietnam, and the country's last pre-colonial monarch. Ruling for about 36 years from 1847 to 1883, this made him the longest reigning Nguyễn emperor.
Twentymile River
The Twentymile River is a river near the Kenai Peninsula in Alaska. It rises in a remote valley from meltwater of several small glaciers on Whitecrown in the Chugach Mountains and flows out into a large, wide valley where it receives the water of the Moraine and Glacier rivers. Eventually, the river empties into Turnagain Arm after flowing 17 miles (27 km)  to a broad marshy delta alongside the deltas of Portage Creek and the Placer River. Contrary to popular belief, the source of the river is not Twentymile Glacier.

This river is known locally for its large runs of smelt (hooligan) every summer during the month of May. Many people from Anchorage go there to dipnet for them. It also has some small salmon runs.

Kenai Peninsula
The Kenai Peninsula (Dena'ina: Yaghenen) is a large peninsula jutting from the coast of Southcentral Alaska. The name Kenai (/ˈkiːnaɪ/, KEE-ny) is derived from the word "Kenaitze" or "Kenaitze Indian Tribe", the name of the Native Athabascan Alaskan tribe, the Kahtnuht’ana Dena’ina ("People along the Kahtnu (Kenai River)"), who historically inhabited the area. They called the Kenai Peninsula Yaghanen ("the good land").
Türgen, Uvs
Türgen (Mongolian: Түргэн) is a sum (district) of Uvs Province in western Mongolia.

The center of the sum lies on the banks of the Türgen River in the valley between the Kharkhiraa and the Türgen mountains. It is about 35 km NW of Ulaangom, along the highway to the Russian border.

Kharkhiraa
Kharkhiraa (Mongolian: Хархираа, romanized: Harhiraa, pronounced [χarçɪˈɾa]; lit. "common crane") is a mountain of the Altai Mountains and is located in the Uvs Province in Mongolia. It has an elevation of 4,040 metres (13,255 ft).
Brett Kenny
Brett "Bert" Edward Kenny (born 16 March 1961) is an Australian former professional rugby league footballer who played in the 1980s and 1990s. He was a centre and five-eighth for the Australian national team and New South Wales Blues representative sides, and the Parramatta Eels. He played in 17 Tests, made 17 State of Origin appearances and won 4 premierships with Parramatta. He is considered one of the nation's finest footballers of the 20th century.

New South Wales rugby league team
The New South Wales rugby league team has represented the Australian state of New South Wales in rugby league football since the sport's beginnings there in 1907. Also known as the Blues due to their sky blue jerseys, the team competes in the annual State of Origin series against Queensland. The team is currently coached by Laurie Daley and captained by Isaah Yeo, and is administered by the New South Wales Rugby League.

Prior to 1980 when the "state of origin" selection criteria was introduced, the New South Wales team, in addition to playing annually against Queensland, played matches against foreign touring sides and occasionally toured overseas themselves. Their home stadium is  Accor Stadium in Sydney, the largest stadium in the state, having been constructed for the 2000 Summer Olympics.
Jayasekera
Jayasekera is a surname. Notable people with the surname include:

D. S. Jayasekera (fl. 1947–1995), Sri Lankan teacher

Kingsley Jayasekera (1924–2004), Sri Lankan actor

Lakkana Jayasekera (born 1996), Sri Lankan cricketer

Michael Jayasekera (fl. 1975), Sri Lankan rugby union player

Nicholas Jayasekera (fl. 2013), Sri Lankan rear admiral

Rohan Jayasekera (cricketer)  (born 1957), Sri Lankan cricketer

Rohan Jayasekera (writer) (born 1961), English freelance journalist

Shantha Jayasekera (born 1963), Sri Lankan cricketer

Thushari Jayasekera (born 1984), Sri Lankan-American actress

Nicholas Jayasekera
Surgeon Rear Admiral(Retired) Nicholas E. L. W. Jayasekera was the Director-General of the Health Services of Sri Lanka Navy. Before he retires from the service, he served as the Chief Executive Officer at the General Sir John Kotelawala Defence University Hospital.