hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
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.

Integer sequence
In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers.

An integer sequence may be specified explicitly by giving a formula for its nth term, or implicitly by giving a relationship between its terms. For example, the sequence 0, 1, 1, 2, 3, 5, 8, 13, ... (the Fibonacci sequence) is formed by starting with 0 and 1 and then adding any two consecutive terms to obtain the next one: an implicit description (sequence A000045 in the OEIS). The sequence 0, 3, 8, 15, ... is formed according to the formula  for the nth term: an explicit definition.

Alternatively, an integer sequence may be defined by a property which members of the sequence possess and other integers do not possess. For example, we can determine whether a given integer is a perfect number, (sequence A000396 in the OEIS), even though we do not have a formula for the nth perfect number.
Charlotte Owen, Baroness Owen of Alderley Edge
Charlotte Kathryn Tranter Owen, Baroness Owen of Alderley Edge (born 10 May 1993) is a British life peer and former special adviser. She has been a Conservative member of the House of Lords since 2023, and was the youngest recipient of a life peerage at the time of her appointment.

Number 10 Policy Unit
The Number 10 Policy Unit is a body of policymakers based in 10 Downing Street, providing policy advice directly to the British Prime Minister. Originally set up to support Harold Wilson in 1974, it has gone through a series of guises to suit the needs of successive prime ministers, staffed variously by political advisers, civil servants and more recently a combination of both.

The current Director of the Number 10 Policy Unit is Stuart Ingham.
Outline of Bosnia and Herzegovina
The following outline is provided as an overview of and topical guide to Bosnia and Herzegovina:

Bosnia and Herzegovina – country in Southwestern Europe, on the Balkan Peninsula. It  comprises two autonomous entities: the Federation of Bosnia and Herzegovina and Republika Srpska, with a third region, the Brčko District, governed under local government. The country is home to three ethnic groups:  Bosniaks are the largest group of the three, with Serbs second and Croats third.

Economy of Bosnia and Herzegovina
The economy of Bosnia and Herzegovina is a developing transitional economy. Since its independence movement during the 1990s, the country has sought deeper economic integration within Europe. Their main trading partner is the European Union and neighboring countries in Southeast Europe. Its complex political governance has strained domestic economic and fiscal policy. It runs a structural trade deficit financed by remittances from the Bosnian diaspora, and as such, is heavily dependent on foreign aid. Bosnia and Herzegovina has an emerging tourism sector which has helped diversify a historically strong agricultural sector. It has limited infrastructure, heavy public regulation, as well as a large informal economy.
2006 Sharpie Mini 300
The 2006 Sharpie Mini 300 was a NASCAR Busch Series race held at Bristol Motor Speedway in Bristol, Tennessee on March 25, 2006. The race was the 6th of the 2006 NASCAR Busch Series and the 24th iteration of the event. The race was once again dominated by Cup Series regulars. Kevin Harvick won the pole and led the most laps at 120 but it was Kyle Busch who would win his first ever Busch Series race at Bristol. But the race was most remembered when Snow fell onto the track during the race that caused a long red flag and would become one of the most remembered red flagged events and one of the craziest weather events in NASCAR history.

NASCAR O'Reilly Auto Parts Series at Bristol Motor Speedway
Stock car racing events in the NASCAR O'Reilly Auto Parts Series have been held at Bristol Motor Speedway, in Bristol, Tennessee during numerous seasons and times of year since the series’ inception in 1982. From 2021 to 2023, the series has had one date. However, when the 2025 schedule was announced, the series returned to 2 dates.
Exponential integrator
Exponential integrators are a class of numerical methods for the solution of ordinary differential equations, specifically initial value problems.  This large class of methods from numerical analysis is based on the exact integration of the linear part of the initial value problem. Because the linear part is integrated exactly, this can help to mitigate the stiffness of a differential equation. Exponential integrators can be constructed to be explicit or implicit for numerical ordinary differential equations or serve as the time integrator for numerical partial differential equations.

Numerical method
In numerical analysis, a numerical method is a mathematical tool designed to solve numerical problems. The implementation of a numerical method with an appropriate convergence check in a programming language is called a numerical algorithm.
Sir Thomas Wodehouse, 2nd Baronet
Sir Thomas Wodehouse, 2nd Baronet (c. 1585 – 18 March 1658), was an English baronet and Member of Parliament.

Wodehouse was the son of Sir Philip Wodehouse, 1st Baronet, of Kimberley, Norfolk, and his wife Grizell Yelverton, daughter of William Yelverton. He was Member of Parliament for Thetford from 1640 to 1653, and served as High Sheriff of Norfolk in 1624.

Wodehouse married Blanche Carey, daughter of John Carey, 3rd Baron Hunsdon, on 16 June 1605. She died on 6 November 1651. Wodehouse survived her by six years and died on 18 March 1658. He was succeeded in the baronetcy by his son Philip.

High Sheriff of Norfolk
The high sheriff is the oldest secular office under the Crown and is appointed annually (in March) by the Crown. The High Sheriff of Norfolk was originally the principal law enforcement officer in Norfolk and presided at the assizes and other important county meetings. Most of the responsibilities associated with the post have been transferred elsewhere or are now defunct, so that its functions are now largely ceremonial. There was a single high sheriff serving the two counties of Norfolk and Suffolk until 1576.
Forgive Me (TV series)
Forgive Me is a Canadian television drama series, about a young insomniac priest who gets caught up in the sins of his congregants while a secret from his own past threatens his calling.

The series is written and directed by Thom Fitzgerald. It stars Mike McLeod, John Dunsworth, Jane Alexander, Hugh Thompson, Olympia Dukakis, Brenda Fricker, Wendy Crewson, Bruce Davison, Jeremy Akerman, Ryan Doucette, Candy Palmater, Ed Asner, Gharrett Patrick Paon and Rob Joseph Leonard.

The series began its original broadcast on September 4, 2013 on Super Channel in Canada. It aired its second season in 2015, and its third in 2018.

ACTRA Award
The ACTRA Awards are Canadian accolades presented since 1972 to celebrate excellence in cinema, television and radio industries. Initially it was organized and presented by the Alliance of Canadian Television and Radio Artists, which represented performers, writers and broadcast journalists, and were responsible for awarding the Nellie statuettes until 1986. That year, they were taken over by the Academy of Canadian Cinema and Television to create the new Gemini Awards, although ACTRA continued to present Nellies in radio categories.

The organization relaunched the awards in 2003, this time as a more local-focused film industry award, separately presented by each of ACTRA's regional chapters to honour performances in local film and television production, since expanded to incorporate web series and video games.
Arthur's Pass National Park
Arthur's Pass National Park is located in the South Island of New Zealand and covers 1,185 km2 of mostly mountainous terrain. Adjacent to it lies Craigieburn Forest Park. The park is administered by the Department of Conservation.

Hiking in New Zealand
Tramping, known elsewhere as backpacking, rambling, hill walking or bushwalking, is a popular activity in New Zealand.

Tramping is defined as a recreational activity involving walking over rough country. Trampers often carry a backpack and wet-weather gear, and may also carry equipment for cooking and sleeping.
Dust (The Twilight Zone)
"Dust" is episode 48 of the American television anthology series The Twilight Zone. It originally aired on January 6, 1961, on CBS, and was the 12th episode of the second season. The episode was written by series creator Rod Serling, and was directed by Douglas Heyes. It starred Thomas Gomez in his second appearance on the show following "Escape Clause", as well as Vladimir Sokoloff, in the first of his three appearances on the series. It is one of the few episodes that does not contain any overtly fantasy or science-fiction elements, though its ending is quite ambiguous in this regard.

Escape Clause
"Escape Clause" is episode six of the American television anthology series The Twilight Zone. It is "the story of a strange contract between a mortal man and his most satanic majesty"; it originally aired on November 6, 1959, on CBS.
Gmina Koprzywnica
Gmina Koprzywnica is an urban-rural gmina (administrative district) in Sandomierz County, Świętokrzyskie Voivodeship, in south-central Poland. Its seat is the town of Koprzywnica, which lies approximately 16 kilometres (10 mi) south-west of Sandomierz and 76 km (47 mi) south-east of the regional capital Kielce.

The gmina covers an area of 69.19 square kilometres (26.7 sq mi), and as of 2006 its total population is 7,043 (out of which the population of Koprzywnica amounts to 2,531, and the population of the rural part of the gmina is 4,512).

Sandomierz
Sandomierz (pronounced: [sanˈdɔmjɛʂ] ⓘ; Latin: Sandomiria, Yiddish: צויזמר, צוזמיר, romanized: Tsouzmer, Tsoyzmer) is a historic town in south-eastern Poland with 23,863 inhabitants (as of 2017), situated on the Vistula River near its confluence with the San, in the Sandomierz Basin. It is the capital of Sandomierz County within the Świętokrzyskie Voivodeship. Sandomierz is known for its preserved Old Town, a major cultural and tourist attraction which the President of Poland declared a National Monument of Poland in 2017.

In the past, Sandomierz was one of the most important urban centers not only of Lesser Poland, but also of the whole country. It was a royal city of the Polish Crown and functioned as a regional administrative centre from the High Middle Ages to the 19th century.
Outline of Malaysia
The following outline is provided as an overview of and topical guide to Malaysia:

Malaysia is a sovereign country located on the Malay Peninsula and a northern portion of the Island of Borneo in Southeast Asia.  It comprises 13 states and three federal territories with a total land area of 329,847 square kilometres (127,355 sq mi).  The capital of Malaysia is Kuala Lumpur, while Putrajaya is the seat of the federal government.

The population stands at over 32 million. The country is separated into two regions—Peninsular Malaysia and Malaysian Borneo—by the South China Sea. Malaysia borders Thailand, Indonesia, Singapore, Brunei, the Philippines, and Vietnam. The country is located near the equator and experiences a tropical climate.

Malaysia is headed by the Yang di-Pertuan Agong and politically led by a Prime Minister. The government is closely modeled after the Westminster parliamentary system.

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Geography of Malaysia
The geography of Malaysia includes both the physical and the human geography of Malaysia, a Southeast Asian country made up of two major landmasses separated by water—Peninsular Malaysia to the west and East Malaysia to the east—and numerous smaller islands that surround those landmasses. Peninsular Malaysia is on the southernmost part of the Malay Peninsula, south of Thailand, north of Singapore and east of the Indonesian island of Sumatra; East Malaysia comprises most of the northern part of Borneo, and shares land borders with Brunei to the north and Indonesian Borneo to the south.
Gornji Oštrc
Gornji Oštrc, together with Tupčina and Donji Oštrc form the settlement (naselje) of Oštrc, and belong to the municipality of Žumberak. In 1835, Gornji Oštrc had 12 houses and 167 inhabitants, however, it currently has 57 inhabitants according to the census in 2011.

Gornji Oštrc belongs to the parish of Oštrc, which was founded in 1827.

Žumberak, Zagreb County
Žumberak is a village and a municipality in Croatia in the Zagreb County. According to the 2011 census, there are 883 inhabitants, 98% of which are Croats. Žumberak municipality covers an area of 110 km2 (42 sq mi). The municipal centre is located in the village of Kostanjevac.

Žumberak together with the Samobor Mountains form a nature park. Žumberak is a karst area with beech and chestnut forests. Many residents of Žumberak at the end of the 19th century immigrated to Slovenia, Austria and Germany because of grapevine phylloxera. Nowadays, rural tourism, wine production and viticulture have developed in Žumberak.
1914 Dublin Senior Hurling Championship
The 1914 Dublin Senior Hurling Championship was the 27th staging of the Dublin Senior Hurling Championship since its establishment by the Dublin County Board in 1887.

Thomas Davis entered the championship as the defending champions.

The final was played on 4 May 1914 at Croke Park in Dublin, between Faughs and Collegians, in what was their first ever meeting in the final. Faughs won the match by 11–03 to 3–01 to claim their ninth championship title overall and a first title in three years.

Dublin Senior Hurling Championship
The Dublin Senior Hurling Championship (Irish: Craobh Sinsear Iomána Átha Cliath) is an annual hurling competition organised by the Dublin County Board of the Gaelic Athletic Association (GAA) since 1887 for the top hurling clubs in County Dublin, Ireland.

Sixteen clubs compete. Initially the teams are divided into four groups of four with the group matches being played from April to May with a break to accommodate the All-Ireland Championship and resume during August or September. The group stage is followed by a knock-out phase which takes place during the months of October and November.

Sponsored by Go-Ahead, it is therefore officially known as the Go-Ahead Dublin Senior Hurling Championship.

Since the establishment of the Dublin Senior Hurling Championship in 1887, a total of 26 clubs have won the tournament. Faughs have been the most successful club having won 31 titles.

Na Fianna are the title holders having defeated Lucan Sarsfields 1-20 to 0-22 in the 2025 final.
1967 Tangerine Bowl
The 1967 Tangerine Bowl was an NCAA College Division game following the 1967 season, between West Chester and Tennessee–Martin. The most valuable players were defensive end Gordon Lambert and quarterback Errol Hook, both of Tennessee–Martin.

Citrus Bowl
The Citrus Bowl  is an annual college football bowl game played at Camping World Stadium in Orlando, Florida. The bowl is operated by Florida Citrus Sports, a non-profit group that also organizes the Pop-Tarts Bowl and Florida Classic. For sponsorship reasons, the game is officially known as the Cheez-It Citrus Bowl, named after the Cheez-It brand of cheese crackers produced by Kellanova, a subsidiary of Mars Inc.

Since the mid-1980s, the Citrus Bowl has drawn many high-ranked teams and is typically played at 1 p.m. EST on New Year's Day and broadcast nationally on ABC. When January 1 is a Sunday, the game has been played on January 2 or December 31, to avoid conflicting with the National Football League (NFL) schedule. As of 2019, it had the largest payout of all bowls other than those that were part of the College Football Playoff (CFP), at $8.55 million per team. In nearly every year since 1985, the game has featured two teams ranked in the AP poll.
Imadec Executive Education
The Imadec Executive Education GmbH is a business training provider in Vienna, Austria. The company briefly gained accreditation as a for-profit private university in 2001, albeit under dubious circumstances. The accreditation was rescinded in 2006 as a result of compliance issues and persistent diploma mill allegations. Imadec was forced into bankruptcy proceedings by its creditors in 2010 but was permitted to restructure under court supervision. The company continues to operate and is currently offering negotiation and management seminars.

Diploma mill
A diploma mill or degree mill is a business that sells illegitimate diplomas or academic degrees. The term diploma mill is also used pejoratively to describe any educational institution with low standards for admission and graduation, low career placement rate, or low average starting salaries of its graduates.

The degrees can be fabricated, falsified, or misrepresented. These businesses may claim to give credit for relevant life experience but without actual prior learning assessment programs. They may also claim to evaluate work history or require submission of a thesis or dissertation for evaluation to give an appearance of authenticity. Diploma mills are frequently supported by accreditation mills set up for the purpose of providing an appearance of authenticity. Diploma mills are considered a global threat to academic integrity.
Gabriela Núñez
Gabriela Núñez Ennabe, Congresswoman and President of the Budget and Finance Committee, was twice Minister of Finance of Honduras under the interim government of Roberto Micheletti. She had previously been Minister of Finance from 1998 to 2002, under the government of Carlos Flores and President of the Central Bank during 2006–2007. She was at the board of directors at the IADB, Washington, D.C., 1994–96.  She has been an independent international consultant to the World Bank and the IADB. 2010–2011.

In the private sector she was Vice-President of Banco Atlántida and was a member of the board of directors of the Asociación de Instituciones Bancarias of Honduras. She is a member of Inter-American Dialogue.

Carlos Roberto Flores
Carlos Roberto Flores Facussé (born 10 March 1950) is a Honduran politician and businessman who served as the 33rd President of Honduras from 27 January 1998 to 27 January 2002. A member of the Liberal Party, Flores was previously the President of the National Congress from 25 January 1994 to 25 January 1998.
Āwhitu Peninsula
The Āwhitu Peninsula is a long peninsula in the North Island of New Zealand, extending north from the mouth of the Waikato River to the entrance to Manukau Harbour.

The Peninsula is bounded in the west by rugged cliffs over the Tasman Sea, but it slopes gently to the east, with low-lying pastoral and swamp land along the edge of the Waiuku River and Manukau Harbour. At the northern tip, the Manukau Heads rises to a 285-metre (935 ft) prominence above the entrance to the similarly named harbour. The nearby historic Manukau Heads Lighthouse is one of the few in the country open to the public.

The peninsula is relatively sparsely populated, despite its proximity to the centre of Auckland city (which lies 30 kilometres (19 miles) to the northeast). The largest settlement on or near the peninsula is Waiuku, which lies at the peninsula's isthmus. There are rural settlements at Grahams Beach and Matakawau Point.

Waiuku River
The Waiuku River, also known as the Waiuku Estuary, is an estuarial arm of the Manukau Harbour, near the town of Waiuku, south-west of Auckland. It joins the harbour at the south west and extends south for 12 kilometres (7 mi), having its head close to the town of Waiuku.
Druze in Syria
The Druze faith is the third-largest religion in Syria with 2010 results recording that their adherents made up 3.2 percent of the population. The Druze are concentrated in the rural, mountainous areas east and south of Damascus in the area of Mount Druze.

The Druze faith is a monotheistic and Abrahamic religion. Syria has the largest Druze population in the world. Many Syrian Druze have  been living abroad for centuries, particularly in Venezuela.

Harim Mountains
Harim Mountains (Arabic: جبال حارم, romanized: Jibāl Ḥārim [d͡ʒiˈbæːl ˈħaːrim]) are highlands in the north of Idlib Governorate in northwestern Syria. The mountains are located in the Harim and Jisr Shughur districts of Idlib Governorate.
Red Ventures
Red Ventures is an American media company that owns and operates brands such as Lonely Planet, The Points Guy, Healthline, and Bankrate. Red Ventures focuses on news, advice, and review websites. The company's corporate headquarters is located in Indian Land, South Carolina, a suburb of Charlotte, North Carolina.

Search engine optimization
Search engine optimization (SEO) is the practice of improving the visibility and performance of websites and web pages in search engine results pages (SERPs). It focuses on increasing the quantity and quality of traffic from unpaid (organic) search results rather than paid advertising. SEO applies to multiple search formats, including web, image, video, news, academic, and vertical search engines, as well as AI-assisted search interfaces.

SEO is commonly used as part of a broader digital marketing strategy and involves optimizing technical infrastructure, content relevance, and authority signals to improve rankings for user queries. The objective of SEO is to attract users who are actively searching for information, products, or services, thereby supporting brand visibility, user engagement, and conversions.
Chang Chun-hsiung
Chang Chun-hsiung (Chinese: 張俊雄; pinyin: Zhāng Jùnxióng; Pe̍h-ōe-jī: Tiuⁿ Chùn-hiông; 23 March 1938 – 27 September 2025) was a Taiwanese politician and lawyer who served as the premier of the Republic of China from 2000 to 2002 and 2007 to 2008, both under Chen Shui-bian's presidency. His appointment by then-President Chen in 2000 marked the first time a Democratic Progressive Party (DPP) member occupied the premiership.

As a founding member of the DPP, he served on its Central Committee and Central Standing Committee from 1986 to 2000.

President of the Republic of China
The president of the Republic of China, also known as the president of Taiwan, is the head of state of the Republic of China (Taiwan), as well as the commander-in-chief of the Republic of China Armed Forces. Before 1949 the position had the authority of ruling over mainland China, but losing control of it after communist victory in the Chinese Civil War, the remaining jurisdictions of the ROC have been limited to Taiwan, Penghu, Kinmen, Matsu, and smaller islands.

Originally elected by the National Assembly, the presidency was intended to be a ceremonial office with no real executive power because the ROC was originally envisioned as a parliamentary republic. Since the 1996 election however, the president has been directly elected by plurality voting to a four-year term, with incumbents limited to serving two terms. The current president is Lai Ching-te of the Democratic Progressive Party, preceded by Tsai Ing-wen from the same party.
Anna of Oldenburg
Anna of Oldenburg (14 November 1501 – 24 September 1575) was a Countess consort of East Frisia as the spouse of Count Enno II of East Frisia. She was the Regent of East Frisia in 1542–1561 as the guardian for her minor sons, Johan II and Edzard II.  Her reign lasted until 1561 and was generally supported by the Estates.

Christopher, Count of Oldenburg
Christopher, Count of Oldenburg (German: Christoph, Graf von Oldenburg)  (c. 1504 – 4 August 1566) was a German count and regent in eastern Denmark between  1534–36 during the Count's Feud (Danish: Grevens Fejde)   which was named after him.