hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Denjoy's theorem on rotation number
In mathematics, the Denjoy theorem gives a sufficient condition for a diffeomorphism of the circle to be topologically conjugate to a diffeomorphism of a special kind, namely an irrational rotation. Denjoy (1932) proved the theorem in the course of his topological classification of homeomorphisms of the circle. He also gave an example of a C1 diffeomorphism with an irrational rotation number that is not conjugate to a rotation.

Diffeomorphism
In mathematics, a diffeomorphism is an isomorphism of differentiable manifolds. It is an invertible function that maps one differentiable manifold to another such that both the function and its inverse are continuously differentiable.
St. Catharines (provincial electoral district)
St. Catharines is a provincial electoral district in Ontario, Canada, that has been represented in the Legislative Assembly of Ontario, first from 1914 to 1934, and again from 1967.

The riding was redrawn in 1999, when Ontario adjusted all of its provincial electoral divisions to match those already existing at the federal level, and has matched the federal riding since. It currently consists of the part of the City of St. Catharines lying north of a line drawn from west to east along St. Paul Street West, St. Paul Crescent, Twelve Mile Creek, Glendale Avenue, Merrit Street and Glendale Avenue.

St. Catharines (federal electoral district)
St. Catharines is a federal electoral district in the Niagara Region of Ontario, Canada, that has been represented in the House of Commons of Canada since 1968.

It consists of the part of the City of St. Catharines lying east and north of a line drawn from Lake Ontario: Courtleigh Road, Third Street Louth, the QEW, Highway 406, First Street Louth, St. Paul Street West, St. Paul Crescent, Twelve Mile Creek, Glendale Avenue, Merrit Street and Glendale Avenue.
Blue Mountain (New York)
Blue Mountain is a peak in the Adirondack Mountains of New York State in the United States. Located east of Blue Mountain Lake, Hamilton County, the peak reaches a height of 3,750 ft (1,140 m). For hiking, the elevation gain is 1,559 feet (475 meters) and the trail length is four miles. The trailhead elevation is 2,200 feet (670 meters).  It is the location of the Blue Mountain Fire Observation Station, listed on the National Register of Historic Places in 2001.

Hamilton County, New York
Hamilton County is a county in the U.S. state of New York. As of the 2020 census, the population was 5,107, making it the least populous county in New York and its only county with fewer than 10,000 residents. With a land area nearly the size of Delaware, it is the least densely populated county east of the Mississippi River. Its county seat is Lake Pleasant.  The county was created in 1816 and organized in 1847. The county is part of the North Country region of the state.

Hamilton County is one of only two counties that lie entirely within the Adirondack Park (Essex being the other). There are no permanent traffic lights in the county, and much of the county has no cell phone service.
Gragnano
Gragnano is a hill town and comune (municipality) in the Metropolitan City of Naples, in southern Italian region of Campania. It is located about 30 kilometres (19 miles) southeast of Naples, between a mountain crest and the Amalfi Coast.

Gragnano borders the following municipalities: Agerola, Casola di Napoli, Castellammare di Stabia, Lettere, Pimonte, Ravello, Sant'Antonio Abate, Santa Maria la Carità, Scala.

In 1169 its name was added to the title of the bishopric of nearby Lettere, which was thus renamed Roman Catholic Diocese of Lettere-Gragnano, but Gragnano never had a co-cathedral and its title was dropped when the suppressed see was nominally restored as titular bishopric of Lettere.

Ravello
Ravello (Campanian: Raviello, Reviello) is a comune (municipality) situated above the Amalfi Coast (exactly 782 stairs above the town of Atrani), in the province of Salerno, Campania, with approximately 2,500 inhabitants. Its scenic location makes it a popular tourist destination, and earned it a listing as a UNESCO World Heritage Site in 1997.
Sovereign 23
The Sovereign 23 and Sovereign 24 are a family of American trailerable sailboats that was designed by Arthur Edmunds as cruisers and first built in 1981.

The boat was also sold as the Sovereign 23 Adventure and a simplified, budget version with a different deck was sold as the Sovereign Antares 24.

The Sovereign 23 and 24 are developments of Edmunds' S2 7.0, using the same hull mold, as are the Sovereign 7.0 and the Sovereign Princess 24.

Trailer sailer
A trailer sailer is a keelboat that is big enough to accommodate crew for a weekend cruise, yet small enough to be launched, rigged, and recovered single-handed. It is also relatively easy to haul on a trailer behind a car, which requires low displacement and a shallow draft.

Although many small yachts can in principle be moved on a trailer, not all qualify as trailer sailers. The term is generally reserved for cabin sailboats intended for regular ramp launching. It does not apply to dinghies or small open keelboats under about 19 feet, since these are almost always easy to tow due to their characteristic light weight and shallow draft.
Violeta, Malaybalay
Violeta is a rural barangay in the Basakan District of Malaybalay, Bukidnon, Philippines. According to the 2015 census, it has a population of 2,199 people. It is bordered to the north by Linabo, to the east by Managok, to the south by Simaya, and to the west by Cabangahan and Aglayan, separated by the Sawaga River.

Managok
Managok is an urbanizing barangay in the Basakan District of Malaybalay, Bukidnon, Philippines. According to the 2015 census, it has a population of 7,200 people.

It is bounded to the north by Linabo and Maligaya, to the east by Miglamin, to the south by San Martin, to the southwest by Simaya, and to the west by Violeta. Situated on a fertile plain of the Sawaga Valley, it is a major rice producing area in the city. It is drained by the Abuhan and Balongkot Rivers, which is a source for irrigation for many farmers. It is the most populous village in the Basakan District and it serves as the district's center. The village was home to Bukidnon National Agricultural School which was later transferred to Musuan as Central Mindanao University. Mount Capistrano, a culturally important landmark, is shared by Managok, Simayà, and San Martin. The trail in Managok is the easiest to trek.
Riha (Mandaeism)
In Mandaeism, riha (Classical Mandaic: ࡓࡉࡄࡀ, Modern Mandaic pronunciation: [ˈriːha]) is incense used for religious rituals. It is offered by Mandaean priests on a ritual clay tray called kinta in order to establish laufa (communion) between humans in Tibil (Earth) and uthras (celestial beings) in the World of Light during rituals such as the masbuta (baptism) and masiqta (death mass), as well as during priest initiation ceremonies. Various prayers in the Qulasta are recited when incense is offered. Incense must be offered during specific stages of the typically lengthy and complex rituals.

Tarmida
A tarmida (singular form in Classical Mandaic: ࡕࡀࡓࡌࡉࡃࡀ, lit. 'disciple', plural form in Classical Mandaic: ࡕࡀࡓࡌࡉࡃࡉࡀ tarmidia; Persian: ترمیدا; Arabic: ترميذة; Modern Mandaic pronunciation: [tarˈmida]) is a junior priest in Mandaeism. Ganzibras, or head priests, rank above tarmidas.
Amparo Cabotaje-Tang
Amparo Cabotaje-Tang (née Magabung; born November 8, 1954) is a Filipino jurist who previously served as the Presiding Justice of the Sandiganbayan, the Philippines' anti-graft court. She was appointed Presiding Justice from October 1, 2013, until her retirement on November 8, 2024.

Supreme Court of the Philippines
The Supreme Court (Filipino: Kataas-taasang Hukuman), colloquially referred to as the Korte Suprema (also used in formal writing), is the highest court in the Philippines. It was established by the Taft Commission in June 11, 1901, through the enactment of Act No. 136, which abolished the Real Audiencia of Manila, the predecessor of the Supreme Court.

The Supreme Court compound is located in what was formerly a part of the University of the Philippines Manila campus. It occupies the corner of Padre Faura Street and Taft Avenue in Ermita, Manila, with the main building sited directly in front of Philippine General Hospital's cancer institute.
2020 Dutch Athletics Championships
The 2020 Dutch Athletics Championships was the national championship in outdoor track and field for the Netherlands. It was held 29–30 August 2020 at the Sportpark Maarschalkerweerd in Utrecht. It was organised by local organisations AV Phoenix and U-track. The competition was originally scheduled earlier in the year, and to include qualification for the 2020 European Athletics Championships, but the events were delayed due to the COVID-19 pandemic. This necessitated a change of location and events were carried out without an audience. The 10,000 metres races were held separately at the Golden Spike Leiden meet on 19 September.

Dutch Athletics Championships
The Dutch Athletics Championships (Dutch: Nederlandse kampioenschappen atletiek) is an annual outdoor track and field competition organised by the Royal Dutch Athletics Federation, which serves as the national championship for the sport in the Netherlands. It is typically held as a two- or three-day event in the Dutch summer, ranging from late June to early August. The venue of the championships varies, though Amsterdam's Olympic Stadium has been a regular host.

Established in 1910 as a men-only competition, the programme expanded to include women's events in 1921.
2006 Kulgam massacre
2006 Kulgam massacre was the killing of nine Nepalese and Bihari labourers and a Muslim Kashmiri Indian Army soldier by Hizbul Mujahideen militants in a broad daylight near Yaripora in Kulgam area of Anantnag district in Kashmir on 12 June 2006.

Anantnag district
Anantnag district is an administrative district of Indian-administered Jammu and Kashmir in the disputed Kashmir region. It is one of ten districts which make up the Kashmir Valley. The district headquarters is Anantnag city. As of 2011, it was the third most populous district of Jammu and Kashmir (out of 22), after Jammu and Srinagar.
2020 Iași Open
The 2020 Iași Open was a professional tennis tournament played on clay courts. It was the first edition of the tournament which was part of the 2020 ATP Challenger Tour. It took place in Iași, Romania between 14 and 20 September 2020.

2020 ATP Challenger Tour
The ATP Challenger Tour in 2020 was the secondary professional tennis circuit organized by the ATP. The 2020 ATP Challenger Tour calendar comprised 57 tournaments with prize money ranging from $35,000 up to $162,480. It was the 43rd edition of challenger tournaments cycle and 12th under the name of Challenger Tour.

The Challenger Tour was suspended between 13 March and 16 August due to the COVID-19 pandemic.
Blush (2015 film)
Blush (Hebrew: ברש - "Barash") is a 2015 Israeli drama film about teenage lesbian girls. It was written and directed by Michal Vinik, starring Sivan Noam Shimon, Jade Sakori and Dvir Benedek. The original title was Barash.

According to film researcher Raz Yosef, the film is part of the discourse of LGBT rights in contemporary Israeli cinema. In contrast to films such as Yossi and Jagger, The Bubble, and The Secrets, the film offers "new ways of being in the world, life and relationships based on queer temporality that are not necessarily founded on past lessons or future expectations, but rather derive from the desire for the 'here and now.'” Film critic Uri Klein finds that the film serves not only as a portrait of a single Israeli girl in distress but also places this portrait within the broader context of a disintegrating Israeli family.

The Bubble (2006 film)
The Bubble (Hebrew: הבועה, romanized: HaBuah) is a 2006 romantic drama directed by Eytan Fox telling the story of two men who fall in love, one Israeli and one Palestinian.

The title of the film is the nickname of Tel Aviv for it being a relatively peaceful city, remote from the war actions.
Biakalé
Biakalé is a village in western Ivory Coast. It is in the sub-prefecture of Gbangbégouiné-Yati, Man Department, Tonkpi Region, Montagnes District.

Biakalé was a commune until March 2012, when it became one of 1,126 communes nationwide that were abolished.

Gbangbégouiné-Yati
Gbangbégouiné-Yati is a town in western Ivory Coast. It is a sub-prefecture of Man Department in Tonkpi Region, Montagnes District.

Gbangbégouiné-Yati was a commune until March 2012, when it became one of 1,126 communes nationwide that were abolished.

In 2014, the population of the sub-prefecture of Gbangbégouiné-Yati was 10,068.
Geophagini
Geophagini is a tribe of cichlids from the subfamily Cichlinae, the American cichlids. It is the sister taxon to the clade which includes the Cichlasomatini and Heroini. Fishes in the Geophagini are distributed from Panama south to Argentina, it is the most speciose of the seven tribes within the Cichlinae and it is subdivided into three sub-tribes, Acarichthyina, Crenicaratina, and Geophagina which together contain over 200 species. Geophagines show morphological and behavioural specialisations to enable them to sift the substrates within their mouths so that they can separate benthic invertebrates from substrates dominated by sand or silt.

Cichlasomatini
Cichlastomatini is a tribe of cichlids from South America, one of two tribes that make up the subfamily Cichlasomatinae. They were recognised in 1983 as an assemblage by the Swedish ichthyologist Sven O. Kullander by their four rather than five  5 dentary foramina in the lateralis canal system of the head, describing them as closely related to the genus Cichlasoma. Melanie Stiassny suggested that these fishes recognised as a clade by Kullander were divided into two groupings in 1991 which she termed cichlasomines and heroines, Kullander formally raised these to the tribes Cichlasomatini and Heroini of the subfamily Cichlasomatinae in 1999. In other classifications the tribe Cichlasomatini is placed in the subfamily Cichlinae.
Radio Norwich 99.9
Greatest Hits Radio Norfolk & North Suffolk (Norwich) (formerly Radio Norwich 99.9) is an Independent Local Radio station owned and operated by Bauer, broadcasting to Norwich and the surrounding area. The station was merged with North Norfolk Radio and The Beach and became Greatest Hits Radio Norfolk and North Suffolk.

Restricted Service Licence
A Restricted Service Licence (often called an RSL) is a type of broadcast licence typically granted to radio stations and television stations broadcasting within the United Kingdom to serve a local community or a special event. Licences are granted by the broadcasting authority Ofcom (formerly the Radio Authority and the Independent Television Commission, respectively).
Czech Republic women's national under-20 basketball team
The Czech Republic women's national under-20 basketball team is a national basketball team of the Czech Republic, administered by the Czech Basketball Federation. It represents the country in international under-20 women's basketball competitions.

Czech Basketball Federation
The Czech Basketball Federation (Czech: Česká basketbalová federace), also known as ČBF, is the governing body of basketball in the Czech Republic. It was founded after the dissolution of the unified state in 1993, with the Slovakia national basketball team continuing as the successor of the Czechoslovak team.

They organize national competitions in the Czech Republic for the Czech men's national team and Czech women's national team.

The top level professional league is the National Basketball League.
1st NWHL All-Star Game
The 1st NWHL All-Star Game took place on January 24, 2016, at HarborCenter in Buffalo, New York. The event featured two 20-minute periods in a 4-on-4 format and a Skills Competition. Team Pfalzer entered the game with a 4-0 lead having won all events in the Skills Competition.

This edition of the All-Star Game featured a "fantasy draft" format in order to determine the rosters. The team captains were Hilary Knight from the Boston Pride, and forward Emily Pfalzer, also a team captain with the Buffalo Beauts. Team Knight had the first pick overall and selected Kacey Bellamy. The captains each chose 11 players for their team.

Buffalo Beauts
The Buffalo Beauts were a professional ice hockey team in the Premier Hockey Federation (PHF). They played in Amherst, New York, a suburb of Buffalo, at the Northtown Center.

The Beauts were established in 2015 as one of the four founding franchises of the National Women's Hockey League (NWHL), rebranded as the PHF in 2021. The team played at Harborcenter in downtown Buffalo during their first four seasons. The team advanced to the Isobel Cup Finals in the PHF's first four seasons, winning the championship title in 2016–17. The team folded in 2023 after the PHF and its assets were purchased and dissolved as part of the process of creating a new, unified professional league, the Professional Women's Hockey League.
Reginald Talbot (priest)
Reginald Thomas Talbot (1862 - 29 March 1935) was an Anglican priest in the first part of the 20th century.

Talbot was educated at Clifton College and Exeter College, Oxford. He was ordained in 1886 and was a curate at Gateshead Parish Church and then a lecturer in church history and doctrine in the Dioceses of Durham, Ripon and Newcastle. He then held incumbencies in Sunderland and Derby. From 1906 to 1928 he was a Canon Residentiary at  Bristol Cathedral and Archdeacon of Swindon. He was then Dean of Rochester until his retirement in 1932.

Dean of Rochester
The Dean of Rochester is the head of the chapter of canons at Rochester Cathedral, the mother church of the Church of England Diocese of Rochester. The current dean is Philip Hesketh, who has served in that role since June 2016.
Aylesbury Clock Tower
The Aylesbury Clock Tower is located at the centre of Aylesbury, in Buckinghamshire, United Kingdom's Market Square was built in 1876. It dominates the square and stands on the site of a former market house which was demolished in 1866. The clock tower does not actually ring or have a bell inside of it unlike St Mary's Church. It is a staple of Aylesbury culture.

The tower was designed by architect D Brandon who also designed other public buildings in the town including the Corn Exchange. Throughout the tower, there are floral scrolls made of stone going up and down the side. This was made and carved by Frank William Bennett who was married to Lucy Stevens. The group who built this was the Webster and Cannon team that Frank was a part of.

On 3 November 2025 it was listed as a grade II listed building.

Aylesbury
Aylesbury (/ˈeɪlzbəri/ AYLZ-bər-ee or /ˈɛlzbri/ ELLZ-bree) is the county town of Buckinghamshire, England. It is home to the Roald Dahl Children's Gallery and the Waterside Theatre.  There is also one of the largest independent Arts Centre in the UK, the Queens Park Arts Centre which recently received the King's Award for Voluntary Service. It is located in central Buckinghamshire, midway between High Wycombe and Milton Keynes.

In 2011 its urban area had a population of 94,238 The housing target for the town is set to grow with 16,000 homes set to be built by 2033.
Montreal Trust Company
The Montreal Trust Company is a Canadian trust company that has existed since 1889. In 1967, Paul Desmarais acquired minority control of the company. The following year, he transferred his shares in the company to the Power Corporation of Canada, which in 1972 increased its share to a majority. In 1982, Montreal Trust formed a sister company called the Montreal Trust Company of Canada, and both companies were placed under a parent called Montreal Trustco Inc. In 1989, BCE acquired Montreal Trustco for $875 million. BCE ran the company at substantial loss for the next five years and sought a buyer in the summer of 1993. In the spring of 1994, the Bank of Nova Scotia acquired the company for $292 million, and since that time it has operated as a subsidiary.

Power Corporation of Canada
Power Corporation of Canada is a management and holding company that focuses on financial services in North America, Europe and Asia. Its core holdings are insurance, retirement, wealth management and investment management, including a portfolio of alternative investment platforms.
Ocú District
Ocú District is a district (distrito) of Herrera Province in Panama. The population according to the 2000 census was 15,936. The district covers a total area of 625 km². The capital lies at the city of Ocú.

Herrera Province
7°50′N 80°40′W﻿ / ﻿7.833°N 80.667°W﻿ / 7.833; -80.667

Herrera (Spanish pronunciation: [eˈreɾa]) is a province in Panama. Named after General Tomás Herrera, the province was founded on January 18, 1915 from a division of the Los Santos province.  The capital city of Herrera is Chitré, which is located near the province's coastline.  Herrera is bordered on the north by the provinces of Veraguas and Coclé, on the south by the province of Los Santos, on the east by Golfo de Parita and the province of Los Santos, and on the west by the province of Veraguas.
Arlington Fly-In
The Arlington Fly-In, also known as the Arlington Air Show, is an annual airshow hosted in Arlington, Washington at the Arlington Municipal Airport (IATA airport code AWO). Thousands of general aviation pilots fly in from around the country and camp for up to four days, many showing their aircraft for judging.

The Northwest Fly-In is the third largest in the nation, after Oshkosh's EAA AirVenture Oshkosh and Lakeland's Sun N' Fun.

Until 2008, the event was known as the Northwest EAA Fly-In. It was moved from July to August in 2019 because of scheduling issues with other city events.

EAA AirVenture Oshkosh
EAA AirVenture Oshkosh (formerly the EAA Annual Convention and Fly-In), or just Oshkosh, is an annual air show and gathering of aviation enthusiasts held each summer at the Wittman Regional Airport and adjacent Pioneer Airport in Oshkosh, Wisconsin, United States. The southern part of the show grounds, as well as "Camp Scholler", are located in the town of Nekimi and a base for seaplanes is located on Lake Winnebago in the town of Black Wolf.

The airshow is arranged by the Experimental Aircraft Association (EAA), an international general aviation organization based in Oshkosh, and is the largest of its kind in the world. The show lasts a week, usually beginning on the Monday of the last full week in July. During the gathering, the airport's control tower, frequency 118.5, is the busiest in the world.
Sam Hollander
Sam Hollander is an American songwriter. He has collaborated with Panic! at the Disco, One Direction, Fitz and the Tantrums, Weezer, The Living Tombstone, blink-182, Train, Ringo Starr, Carole King, Katy Perry, Boys Like Girls, Metro Station, Billy Idol, Def Leppard, Public Enemy, Daughtry, Gym Class Heroes, Tom Morello, among others.

Hollywood Records
Hollywood Records is an American record label owned by the Disney Music Group which focuses on pop, rock, alternative, hip hop and country genres, also specializing in recordings for a more mature audience not suitable for the flagship Walt Disney Records label.

Founded in December 1989, its current roster includes Sofia Carson, Tini, Kevin Jonas, Area21, Queen, Little Image, Almost Monday, Joywave, Andy Grammer, Adrian Lyles, Freya Skye, and Kenzie. The label also releases soundtrack albums and digital releases from Marvel Studios, 20th Century Studios, Searchlight Pictures, ABC, National Geographic, Hulu, 20th Television, Freeform, FX Productions, and ESPN since their acquisitions by The Walt Disney Company.