hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Triangular decomposition
In computer algebra, a triangular decomposition of a polynomial system S is a set of simpler polynomial systems S1, ..., Se such that a point is a solution of S if and only if it is a solution of one of the systems S1, ..., Se.

When the purpose is to describe the solution set of S in the algebraic closure of its coefficient field, those simpler systems are regular chains. If the coefficients of the polynomial systems S1, ..., Se are real numbers, then the real solutions of  S can be obtained by a triangular decomposition into regular semi-algebraic systems. In both cases, each of these simpler systems has a triangular shape and remarkable properties, which justifies the terminology.

Maple (software)
Maple is a symbolic and numeric computing environment as well as a multi-paradigm programming language. It covers several areas of technical computing, such as symbolic mathematics, numerical analysis, data processing, visualization, and others. A toolbox, MapleSim, adds functionality for multidomain physical modeling and code generation.

Maple's capacity for symbolic computing include those of a general-purpose computer algebra system. For instance, it can manipulate mathematical expressions and find symbolic solutions to
certain problems, such as those arising from ordinary and partial differential equations.

Maple is developed commercially by the Canadian software company Maplesoft. The name 'Maple' is a reference to the software's Canadian heritage.
2023 World Athletics Road Running Championships
The 2023 World Athletics Road Running Championships took place in Riga, Latvia, on 1 October 2023. As the inaugural World Athletics Road Running Championships, they included the World Athletics Half Marathon Championships, which were last held in 2020. A flat, single-lap marathon course in the Baltics' largest city. All courses were traffic-free.

The championships held races for the half marathon, 5K, and mile distances, and also included mass-participation events for the same.

This was the first time when any recreational runner who was ready for a challenge could register for any of the official mass races of the World Championships in Riga and earn a unique medal from the World Athletics Road Running Championships.

2020 World Athletics Half Marathon Championships
The 2020 World Athletics Half Marathon Championships, originally scheduled for 29 March 2020 in Gdynia, Poland, was postponed until 17 October 2020, due to the coronavirus pandemic.

On 31 August 2020, the mass participation race was cancelled, while the elite championships remained scheduled.
2,3-Oxidosqualene
(S)-2,3-Oxidosqualene ((S)-2,3-epoxysqualene) is an intermediate in the synthesis of the cell membrane sterol precursors lanosterol and cycloartenol, as well as saponins.  It is formed when squalene is oxidized by the enzyme squalene monooxygenase.  2,3-Oxidosqualene is the substrate of various oxidosqualene cyclases, including lanosterol synthase, which produces lanosterol, a precursor to cholesterol.

The stereoisomer (R)-2,3-oxidosqualene is an inhibitor of lanosterol synthase.

Cycloartenol
Cycloartenol is an important triterpenoid often found in plants. It belongs to the sterol class of steroids. It is the starting point for the synthesis of almost all plant steroids, making them chemically distinct from the steroids of fungi and animals, which are, instead, produced from lanosterol.
Kam Ying (constituency)
Kam Ying is one of the 41 constituencies in the Sha Tin District in Hong Kong. The constituency returns one district councillor to the Sha Tin District Council, with an election every four years.

The Kam Ying constituency is loosely based on Kam Ying Court, Park Belvedere and part of Sunshine City in Ma On Shan, with an estimated population of 16,942.

Sunshine City (Hong Kong)
Sunshine City (Chinese: 新港城) is a private housing estate in the town centre of Ma On Shan in the Sha Tin District of Hong Kong. It was developed by Henderson Land Development, and contains a series of 20 high-rise residential tower blocks and a series of shopping arcades.
2 Chronicles 18
2 Chronicles 18 is the eighteenth chapter of the Second Book of Chronicles the Old Testament in the Christian Bible or of the second part of the Books of Chronicles in the Hebrew Bible. The book is compiled from older sources by an unknown person or group, designated by modern scholars as "the Chronicler", and had the final shape established in late fifth or fourth century BCE. This chapter belongs to the section focusing on the kingdom of Judah until its destruction by the Babylonians under Nebuchadnezzar and the beginning of restoration under Cyrus the Great of Persia  (2 Chronicles 10 to 36). The focus of this chapter (as all chapters from 17 to 20) is the reign of Jehoshaphat, king of Judah.

2 Chronicles 36
2 Chronicles 36 is the thirty-sixth (and the final) chapter of the Second Book of Chronicles the Old Testament of the Christian Bible or of the second part of the Books of Chronicles in the Hebrew Bible. The book is compiled from older sources by an unknown person or group, designated by modern scholars as "the Chronicler", and had the final shape established in late fifth or fourth century BCE. This chapter belongs to the section focusing on the kingdom of Judah until its destruction by the Babylonians under Nebuchadnezzar and the beginning of restoration under Cyrus the Great of Persia  (2 Chronicles 10 to 36). It contains the regnal accounts of the last four kings of Judah - Jehoahaz, Jehoiakim, Jehoiachin and Zedekiah - and the edict of Cyrus allowing the exiled Jews to return to Jerusalem.
Lead Upturn 2023: Jack in the Beats
Lead Upturn 2023: Jack in the Beats (stylized as Lead Upturn 2023 ～Jack in the Beats～) is the twentieth concert video released by Japanese hip-hop group Lead. The concert video was released on March 20, 2024. It received a weekly ranking at No. 13 on the Oricon DVD charts.

Due to having no corresponding album, the tour borrowed songs from various singles, including their then-most recent single "See Your Heart". It also featured original songs "Billionaire" and "Jack in the Beats."

Behind-the-scenes
In filmmaking, behind-the-scenes (BTS), also known as the making-of, the set, or  on the set, is a documentary film that features the production of a film or television program. This is often referred to as the EPK (electronic press kit) video, due to its main usage as a promotional tool, either concurrent with theatrical release or as a bonus feature for the film's DVD or Blu-ray release.
2011 Challenger of Dallas – Doubles
The 2011 Challenger of Dallas was a professional tennis tournament played on indoor hard courts. It was a Challenger of Dallas competition that forms part of the 2011 ATP Challenger Tour. It took place in Dallas, United States, between 28 February and 6 March 2011.
Scott Lipsky and David Martin were the defending champions, but they decided not to participate together.
Martin played alongside Bobby Reynolds, but they were eliminated by Matthew Ebden and Samuel Groth already in the first round.
Lipsky partnered up with Rajeev Ram and they won this tournament, defeating Dustin Brown and Björn Phau 7–6(7–3), 6–4 in the final.

2011 ATP Challenger Tour
The ATP Challenger Tour was the secondary professional tennis circuit organized by the Association of Tennis Professionals (ATP). The 2011 ATP Challenger Tour calendar comprised 15 top tier Tretorn SERIE+ tournaments, and approximately 150 regular series tournaments, with prize money ranging from $35,000 up to $150,000.
Agnes, Victoria
Agnes is a locality in Victoria, Australia. It is located at the junction of the South Gippsland Highway and Barry Road, close to Corner Inlet.

The railway arrived in 1892 and the Post Office opened on 28 December 1915 and closed in 1960.

South Gippsland railway line
The South Gippsland railway line is a partially closed railway line in Victoria, Australia. It was first opened in 1892, branching from the Orbost line at Dandenong, and extending to Port Albert. Much of it (the section up to Leongatha) remained open until December 1994 (passenger services finished the previous July). Today, only the section between Dandenong and Cranbourne remains open for use. The section of the line from Nyora to Leongatha was used by the South Gippsland Tourist Railway until it ceased operations in 2016. The section from Nyora to Welshpool, with extension trail to Port Welshpool and a portion of the former line at Koo Wee Rup, have been converted into the Great Southern Rail Trail.
A Squatter's Tale
A Squatter's Tale is a 1997 novel by Nigerian author Ike Oguine. The novel focuses on the experience of African immigrants to the United States, and the challenges faced in the contemporary African diaspora. Other themes include discussion of African economic policies.

The novel received the 1997 Association of Nigerian Authors award for fiction. The novel was published as part of the African Writers Series in 2000.

Heinemann African Writers Series
The African Writers Series (AWS) is a collection of books written by African novelists, poets and politicians. Published by Heinemann, 359 books appeared in the series between 1962 and 2003.

The series has provided an international audience for many African writers, including Chinua Achebe, Ngũgĩ wa Thiong'o, Steve Biko, Ama Ata Aidoo, Nadine Gordimer, Buchi Emecheta, and Okot p'Bitek.
Haylmore Creek
Haylmore Creek is the largest tributary of the Gates River, flowing northwest from its origin in the central Cayoosh Range to join that river at the community of Devine, British Columbia, Canada, in the Lillooet Country of the Southern Interior of British Columbia.

Above the basins of a lower west fork and lower east fork, the upper valley of the creek is formed by three basins which back up against the spine of the Cayoosh Range along the north side of Duffey Lake, immediately south of the ridge defining the basin.  The easternmost of these, that of Common Johnny Creek, is the location of Barkley Valley, a former gold-mining community, now a ghost town.

The namesake of the valley was Will Haylmore, Mining Sub-Recorder for the Bridge River Mines District.  While his name is usually pronounced "HAIL-more", the creek's name is typically pronounced "HAIL-ey-more".`

Duffey Lake Provincial Park
Duffey Lake Provincial Park is a provincial park in British Columbia, Canada, located at the lake of the same name, which lies along BC Highway 99 just east of the summit of Cayoosh Pass. The lake's inflow and outflow are Cayoosh Creek. The park's highest point is Mount Rohr at the westernmost boundary.
Least-angle regression
In statistics, least-angle regression (LARS) is an algorithm for fitting linear regression models to high-dimensional data, developed by Bradley Efron, Trevor Hastie, Iain Johnstone and Robert Tibshirani.

Suppose we expect a response variable to be determined by a linear combination of a subset of potential covariates.  Then the LARS algorithm provides a means of producing an estimate of which variables to include, as well as their coefficients.

Instead of giving a vector result, the LARS solution consists of a curve denoting the solution for each value of the L1 norm of the parameter vector. The algorithm is similar to forward stepwise regression, but instead of including variables at each step, the estimated parameters are increased in a direction equiangular to each one's correlations with the residual.

High-dimensional statistics
In statistical theory, the field of high-dimensional statistics studies data whose dimension is larger (relative to the number of datapoints) than typically considered in classical multivariate analysis.  The area arose owing to the emergence of many modern data sets in which the dimension of the data vectors may be comparable to, or even larger than, the sample size, so that justification for the use of traditional techniques, often based on asymptotic arguments with the dimension held fixed as the sample size increased, was lacking.

There are several notions of high-dimensional analysis of statistical methods including:

Non-asymptotic results which apply for finite  (number of data points and dimension size, respectively).

Kolmogorov asymptotics which studies the asymptotic behavior where the ratio  is converges to a specific finite value.
Persebata Lembata
Persatuan Sepakbola Lembata (simply known as Persebata) is an Indonesian football club based in Lembata Regency, East Nusa Tenggara. They compete in Liga Nusantara, the third tier of Indonesian football, starting from the 2025–26 season after being promoted from Liga 4. Their homeground is Gelora 99 Stadium in Lembata and Oepoi Stadium in Kupang.

2024–25 Liga 4 East Nusa Tenggara
The 2024–25 Liga 4 East Nusa Tenggara (also known as Liga 4 El Tari Memorial Cup XXXIII 2024–25 or simply Liga 4 ETMC XXXIII 2024–25) was the 33rd season of the El Tari Memorial Cup and the inaugural season as Liga 4 East Nusa Tenggara after the structural changes of Indonesian football competition and serves as a qualifying round for the national phase of the 2024–25 Liga 4. The competition is organised by the East Nusa Tenggara Provincial PSSI Association.
The Yes-Men
The Yes-Men were a rock band from Melbourne, New South Wales formed by Sean Greenway in 1995. Musically, the band played a style of rock and roll similar to Radio Birdman and Sonic's Rendezvous Band. The band dissolved after Sean Greenway's death on 21 January 2001.

Rocket Science (band)
Rocket Science is an Australian alternative rock band from Melbourne, Victoria, formed in June 1998. They released four studio albums during their initial run: Welcome Aboard the 3C10 (2000), Contact High (2002), Eternal Holiday (2004) and Different Like You (2008), the latter of which was released months before their split. The band reunited in 2014 and has since released a further two studio albums: Snake (2019) and Push Play (2023).

Contact High and Eternal Holiday charted at 60 and 67, respectively, in the top 100 of the ARIA Albums Chart, while Contact High's single "Being Followed" charted at number 91 in the triple j Hottest 100 of 2002.
Nevada State Route 163
State Route 163 (SR 163), also referred to as the Laughlin Highway, is a state highway in southern Clark County, Nevada.  The route connects the town of Laughlin to the rest of the state via U.S. 95.

NV 163 and Arizona State Route 95 provide the next closest public Colorado River crossing to Hoover Dam. Due to the restriction of commercial vehicles over the dam following the September 11 attacks, SR 163 comprised part of the required detour for truck traffic traveling between the Las Vegas and Phoenix metropolitan areas from September 11, 2001, to October 19, 2010, when the Mike O'Callaghan–Pat Tillman Memorial Bridge just downstream from the dam was opened to traffic.

Prior to the renumbering of Nevada state routes on July 1, 1976, SR 163 previously comprised the northern part of State Route 76 and all of State Route 77.

U.S. Route 95 in Nevada
U.S. Route 95 (US 95) is a major U.S. highway traversing the U.S. state of Nevada from north to south directly through Las Vegas and providing connections to both Carson City (via US 50 in Silver Springs, Nevada area only) and Reno (via Interstate 80 in Fernley, Nevada only or U.S. 95A north to U.S. 50 west to I-580/U.S. 395 north in Carson City, Nevada area only). US 95 is cosigned with Interstate 80 for 95 miles (153 km) between Winnemucca and a junction 32 miles north of Fallon before heading north into Oregon at McDermitt. At 646.71 miles (1,040.78 km), it is the longest highway in Nevada.

Along much of its course through Nevada, US 95 has signs designating it as the Veterans Memorial Highway. A portion of the route in Las Vegas northwest of downtown is also called the Oran K. Gragson Freeway, named for Las Vegas mayor Oran K. Gragson who advocated for construction of that portion of freeway in the 1960s.
1967 European Judo Championships
The 1967 European Judo Championships were the 16th edition of the European Judo Championships, and were held in Rome, Italy from 11 to 13 May 1967. Championships were subdivided into six individual competitions, and a separate team competition.

European Judo Championships
The European Judo Championships is the Judo European Championship organized by the European Judo Union. The 2015 and 2019 editions were held during the respective European Games. This is also expected for future editions of the European Games.
Cancelled-to-order
A cancelled to order (also called and abbreviated CTO) postage stamp, philatelic symbol , is a stamp the issuing postal service has cancelled (marked as used), but has not traveled through the post, but instead gets handed back to a stamp collector or dealer. They can come from withdrawn stocks of stamps cancelled in sheets and sold as remainders or from new sheets for sale at reduced rates to the stamp trade. Postal services of various countries do this in response to collector demand, or to preclude stamps issued for the collector market being used on mail. Some of the history of CTOs is from stamps being given to collectors on an approval basis, in person or through mailings; the first CTOs began in the late 19th century.

Stamp collecting
Stamp collecting is the collecting of postage stamps and related objects. It is an area of philately, which is the study (or combined study and collection) of stamps. It has been one of the world's most popular hobbies since the late nineteenth century with the rapid growth of the postal service, as a stream of new stamps was produced by countries that sought to advertise their distinctiveness through their stamps.
Recycling Rates of Metals report
Recycling Rates of Metals: A Status Report was the 2nd of six scientific assessments on global metals to be published by the International Resource Panel (IRP) of the United Nations Environment Programme. The IRP provides independent scientific assessments and expert advice on a variety of areas, including:

•	the volume of selected raw material reserves and how efficiently these resources are being used

•	the lifecycle-long environmental impacts of products and services created and consumed around the globe

•	options to meet human and economic needs with fewer or cleaner resources.

International Resource Panel
The International Resource Panel is a scientific panel of experts that aims to help nations use natural resources sustainably without compromising economic growth and human needs. It provides independent scientific assessments and expert advice on a variety of areas, including:

The volume of selected raw material reserves and how efficiently these resources are being used

The lifecycle-long environmental impacts of products and services created and consumed around the globe

options to meet human and economic needs with fewer or cleaner resources.

The Secretariat of the IRP is hosted by the United Nations Environment Programme (UN Environment) through its office in Paris, France.
Thabo Mabuza
Sikhumbuzo Thabo Mabuza (born 1 February 1994 in Nelspruit, South Africa) is a South African rugby union player for the Falcons in the Currie Cup and the Rugby Challenge. He generally plays as an openside flanker.

Bulls (rugby union)
The Bulls (known for sponsorship reasons as the Vodacom Bulls) are a South African professional rugby union team based in Pretoria. They play their home matches at Loftus Versfeld. They compete in the United Rugby Championship, having competed in the Super Rugby competition until 2020 and the domestic Currie Cup competition.

The side won the Super 14 in 2007, 2009 and 2010, placing them among the most successful teams in Super Rugby history with three titles. They were the most successful team of the Super 14 era (2006–10), winning three out of the five titles. They are the most successful South African team, and the only South African team to win a Super Rugby title.

Formerly known as Northern Transvaal the side has competed in the Currie Cup since 1937 before becoming the Bulls in 1997.
2006 Canadian Senior Curling Championships
The 2006 Canadian Senior Curling Championships were held March 25-April 1 at the Silver Fox Curling Club in Summerside, Prince Edward Island. The winning teams represented Canada at the 2007 World Senior Curling Championships.

Canadian Senior Curling Championships
The Canadian Senior Curling Championships are an annual bonspiel held to determine the national champions in senior curling for Canada. Seniors are defined as being people over the age of 50. The championship teams play at the World Senior Curling Championships the following year.

The event's first committee was established in October 1964. Frank Sargent was an original member of the senior championship committee, and believed the event would attract former Brier competitors and give seniors a place to compete which had not existed. The inaugural Canadian Seniors Curling Championship was hosted in Port Arthur in March 1965. It used a minimum age of 55 for competitors, and had the Seagram Company as its title sponsor.
Holy Innocents Children's Hospital
Holy Innocents Children's Hospital (HICH) is a pediatric general hospital in the  Western Region of Uganda. Founded in 2009, it is the second entirely pediatric hospital in the country, the other being CURE Children's Hospital of Uganda (CCHU), located in Mbale, in Eastern Uganda, which was founded in 2000.

CURE Children's Hospital of Uganda
CURE Children's Hospital of Uganda (CCHU) is a specialized children's neurosurgery hospital in Uganda. It is a private hospital, owned and operated by CURE International. The hospital is also a teaching center in pediatric neurosurgery for Sub-Saharan Africa.
1969 Offaly Senior Hurling Championship
The 1969 Offaly Senior Hurling Championship was the 72nd staging of the Offaly Senior Hurling Championship since its establishment by the Offaly County Board in 1896.

St Rynagh's entered the championship as the defending champions.

The final was played on 12 October 1969 at St Brendan's Park in Birr, between St Rynagh's and Kinnitty, in what was their first ever meeting in the final. St Rynagh's won the match by 4–07 to 1–09 to claim their fourth championship title overall and a second championship title in succession.

Offaly Senior Hurling Championship
The Offaly Senior Hurling Championship (known for sponsorship reasons as the Molloy Environmental Senior Hurling Championship) is an annual hurling competition contested by top-tier Offaly GAA clubs. The Offaly County Board of the Gaelic Athletic Association has organised it since 1896.

Kilcormac–Killoughey are the title-holders, defeating shinrone by 1–24 to 2–14 in the 2025 final.
Kwara State College of Arabic and Islamic Legal Studies, Ilorin
Kwara State College of Arabic and Islamic Legal Studies Ilorin,  was established by the Kwara State Government through an act in 1992.  The college is one out of 4 that are affiliated to the Bayero University  in Kano, Nigeria.

Kwara State College of Arabic and Islamic legal studies was established by the state's Muslim community to provide the college and other similar institutions with a place to acquire arts and Islamic education.

On September 7, 2020, The National Board for Technical Education (NBTE) approved the college to begin National Diploma (ND) programme.

Bayero University Kano
The Bayero University KanoListenⓘ  (BUK) is a university situated in Kano, Kano State, Nigeria. It was founded in 1975, when it was renamed from Bayero University College and upgraded from university college to university. It is the first university in Kano State, North-western Nigeria.