hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Zeros and poles
In complex analysis (a branch of mathematics), a pole is a certain type of singularity of a complex-valued function of a complex variable. It is the simplest type of non-removable singularity of such a function (see essential singularity). Technically, a point z0 is a pole of a function f if it is a zero of the function 1/f and 1/f is holomorphic (i.e. complex differentiable) in some neighbourhood of z0.

A function f is meromorphic in an open set U if for every point z of U there is a neighborhood of z in which at least one of f and 1/f is holomorphic.

If f is meromorphic in U, then a zero of f is a pole of 1/f, and a pole of f is a zero of 1/f. This induces a duality between zeros and poles, that is fundamental for the study of meromorphic functions. For example, if a function is meromorphic on the whole complex plane plus the point at infinity, then the sum of the multiplicities of its poles equals the sum of the multiplicities of its zeros.

Multiplicity (mathematics)
In mathematics, the multiplicity of a member of a multiset is the number of times it appears in the multiset.  For example, the number of times a given polynomial has a root at a given point is the multiplicity of that root.

The notion of multiplicity is important to be able to count correctly without specifying exceptions (for example, double roots counted twice).  Hence the expression, "counted with multiplicity".

If multiplicity is ignored, this may be emphasized by counting the number of distinct elements, as in "the number of distinct roots". However, whenever a set (as opposed to multiset) is formed, multiplicity is automatically ignored, without requiring use of the term "distinct".
Angels in the Infield
Angels in the Infield is a 2000 American sports comedy television film directed by Robert King and starring Patrick Warburton, Brittney Irvin, David Alan Grier, and Kurt Fuller. A follow-up to the 1994 film Angels in the Outfield and the 1997 film Angels in the Endzone, it is about a group of angels trying to help a baseball team win a championship game, while at the same time helping to reunite the team's pitcher's family. The Anaheim Angels are again featured, in a reprise of the role that the team played during Angels in the Outfield. The film originally aired on ABC on April 9, 2000, as part of The Wonderful World of Disney.

Robert and Michelle King
Robert King (born 1959) and Michelle King (née Stern; born 1962) are an American television writing and producing duo. The two are best known as the creators and showrunners of the legal drama series The Good Wife (2009–16), its spin-offs The Good Fight (2017–22) and Elsbeth (2024–present), and the supernatural drama Evil (2019–24). The two are also the founders of their own production company, King Size Productions. Prior to his television work with his wife, King had worked extensively as a film screenwriter for a wide variety of genres.
Double Check
Double Check is a 1982 sculpture by John Seward Johnson II, located across from Zuccotti Park at the corner of Liberty Street and Broadway in Manhattan, New York City.  The bronze sculpture portrays a well-dressed businessman sitting with his briefcase open, which is filled with office materials getting ready to enter an office building. The statue is notable for its association with the 9/11 attacks.

John Seward Johnson II
John Seward Johnson II (April 16, 1930 – March 10, 2020), also known as J. Seward Johnson Jr. and Seward Johnson, was an American artist known for trompe-l'œil painted bronze statues. He was a grandson of Robert Wood Johnson I, the co-founder of Johnson & Johnson, and of Colonel Thomas Melville Dill of Bermuda.

He designed life-size bronze statues that were castings of living people, depicting them engaged in day-to-day activities. A large staff of technicians did the fabrication of the works he designed. Computers and digital technology often were used in the manufacturing process. Sometimes the manufacture was contracted in China. He was the founder of Grounds For Sculpture, a 42-acre (17 ha) sculpture park and museum located in Hamilton Township, Mercer County, New Jersey.
Heian'nan Province
Heian'nan-dō (平安南道; Korean: 평안남도), alternatively Heian'nan Province or South Heian Province, was a province of Korea under Japanese rule. Its capital was at Heijō. The province consisted of modern-day South Pyongan, North Korea.

South Pyongan Province
South Pyongan Province (Korean: 평안남도; MR: Phyŏngannamdo; IPA: [pʰjʌŋanːamdo]) is a province of North Korea. The province was formed in 1896 from the southern half of the former Pyongan Province, remained a province of Korea until 1945, then became a province of North Korea. Its capital is Pyongsong.
Anderson Mesa
Anderson Mesa (Navajo: Hosh Dikʼání) is approximately five miles long, located 20 miles southeast of Flagstaff, Arizona, United States, east of Lake Mary and north of Mormon Lake, in Coconino County.

This mesa landform, with an elevation between 6,200 and 7,200 feet (1,900 and 2,200 m), has been the site of Lowell Observatory's Anderson Mesa Station since 1959. Because it is also very flat, it is also home to the Naval Observatory's Navy Precision Optical Interferometer, or "NPOI", since 1992.

It is also the inspiration for the 1996 Jimmy Eat World song of the same title.

Mesa
A mesa is an isolated, flat-topped elevation, ridge, or hill, bounded from all sides by steep escarpments and standing distinctly above a surrounding plain. Mesas consist of flat-lying soft sedimentary rocks, such as shales, capped by a resistant layer of harder rock, like sandstone or limestone, forming a caprock that protects the flat summit. The caprock may also include dissected lava flows or eroded duricrust.

Unlike a plateau, which is a broader, elevated region that may not have horizontal bedrock (e.g., Tibetan Plateau), a mesa is defined by flat-lying strata and steep-sided isolation. Large, flat-topped plateaus with horizontal strata, less isolated and often part of extensive plateau systems, are called tablelands. A butte is a smaller, eroded mesa with a limited summit, while a cuesta has a gentle dip slope and one steep escarpment due to tilted strata.
8½ Otto e Mezzo Bombana
8+1⁄2 Otto e Mezzo Bombana is an Italian restaurant at Shop 202, Alexandra House, Central, Hong Kong. It is the only Italian restaurant outside of Italy to have received 3 stars from the Michelin Guide, having been awarded 3 stars by the 2012 Michelin Guide Hong Kong and Macau. Its head chef is Umberto Bombana.

Alexandra House
Alexandra House (Chinese: 歷山大廈) is an office building in Central, Hong Kong near Central station.

The building has 37 levels. It hosts a shopping arcade, Landmark Alexandra, and it is connected to the Central Elevated Walkway. The block formed by Alexandra house is surrounded by Ice House Street, Des Voeux Road Central and Chater Road.
Rex Armstrong
Reginald "Rex" Armstrong OBE (6 December 1897 – 17 February 1968) was a rugby union international prop who represented England in one international during 1925.

Armstrong was born in Newcastle upon Tyne and educated at the Newcastle University Medical School. He played for Durham Medicals, Northumberland and the Barbarians. During World War II he served with the RAMC and was awarded the OBE in 1944.
In 1967 he became the first doctor to describe Foot-and-mouth disease in man in the UK. He died in Morpeth.

He was the grandfather of comedian and television presenter Alexander Armstrong.

Medicals RFC
Medicals RFC is a rugby union club in Newcastle Upon Tyne who have been in existence since 1898. They currently play in the Counties 1 Durham & Northumberland, having been promoted from Durham/Northumberland 2 in the 2009–10 season. Medicals highest profile success came in 1995–96 when the club reached the final of the Pilkington Shield at Twickenham and won the trophy – beating Cornish side Helston 16 – 6.

The uniform of the club is maroon jerseys with white collars, white shorts and maroon stockings with white tops. The club crest is a serpent entwined around a rod, a symbol representing the Greek god of medicine, Asclepius.
It's Okay to Not Be Okay (Philippine TV series)
It's Okay to Not Be Okay is a Philippine romantic comedy drama television series based on the 2020 South Korean television drama series of the same name. Directed by Mae Cruz-Alviar and Raymund B. Ocampo, it stars Anne Curtis, Joshua Garcia, and Carlo Aquino. It premiered on Kapamilya Channel's Primetime Bida evening block on July 21, 2025. The series concluded on October 17, 2025 with a total of 65 episodes.

Xyriel Manabat
Xyriel Anne Bustamante Manabat (Tagalog: [ˈsaɪɾɪl mɐˈnabɐt]; born January 27, 2004) is a Filipino actress. She began her acting career as a child actress after finishing third runner-up in the talent search program Star Circle Kid Quest: Search for the Kiddie Idol. She rose to fame for her performances as young version of the titular roles in Agua Bendita and 100 Days to Heaven. She then became the leading child actress from early to mid 2010s and has received numerous accolades including two FAMAS Awards, two PMPC Star Awards for Movies, two Gawad Tanglaw Awards, a Box Office Entertainment Award and a Metro Manila Film Festival Award.
Sheffield Eagles
The Sheffield Eagles are a professional rugby league club based in Sheffield, South Yorkshire, England. They play home games at the Olympic Legacy Park and compete in the Championship, the second tier of British rugby league.

Sheffield's only major honour was winning the 1998 Challenge Cup, they have won the Second Division twice.

The clubs traditional home colours are red, white and gold and they share a rivalry with Doncaster.

Belle Vue (Wakefield)
Belle Vue, also known as the DIY Kitchens Stadium for sponsorship reasons, in Wakefield, England, is the home of Rugby League club Wakefield Trinity RLFC and, previously, Association Football club Wakefield A.F.C. It is on the A638 Doncaster Road, a mile south of Wakefield city centre.
Victoria's Secret Fashion Show 2016
The Victoria's Secret Fashion Show is an annual fashion show sponsored by Victoria's Secret. Victoria's Secret uses the show to promote and market its goods in high-profile settings. The show features some of the world's leading fashion models, such as current Victoria's Secret Angels Adriana Lima, Alessandra Ambrosio, Lily Aldridge, Lais Ribeiro, Elsa Hosk, Jasmine Tookes, Sara Sampaio, Martha Hunt, Taylor Hill, Stella Maxwell, Romee Strijd, and Josephine Skriver. Behati Prinsloo and Candice Swanepoel both missed this year's show due to their pregnancies. The show also featured PINK spokesmodels Rachel Hilbert, Zuri Tibby and Grace Elizabeth.

The Victoria's Secret Fashion Show 2016 was recorded in Paris, France at the Grand Palais. The show featured musical performances by Lady Gaga, The Weeknd, and Bruno Mars. Angel Jasmine Tookes was wearing the Victoria's Secret Fantasy Bra: The Bright Night Fantasy Bra worth $3,000,000.

Sara Sampaio
Sara Pinto Sampaio (born 21 July 1991) is a Portuguese model and actress, best known for being a Victoria's Secret Angel. She is a Giorgio Armani beauty ambassador and works for Calzedonia.

She was named Best Female Model at the Portuguese Golden Globes (Globos de Ouro) in 2011, 2012, 2014, 2015, and 2016. In 2019, she was the winner of the Globos de Ouro  for Fashion Personality of the Year.
Greena Park
Greena Park (Korean: 박그리나; born January 8, 1985) is a South Korean actress. Park debuted in the film The Ghost (2004). She has played a variety of characters and roles, including the cafe waitress Hee-young in BABO (2008), the tom·boy Soon-nam in Once Upon a Time in Seoul (2008), and the female cop Lee Min-jae in the television series Lucifer (2007).

Miracle of a Giving Fool
Miracle of a Giving Fool, also known as BA:BO (Korean: 바보; lit. fool, idiot) is a 2008 South Korean film. Based on a webtoon, the film was directed by Kim Jung-kwon, and stars Cha Tae-hyun and Ha Ji-won in the lead roles.
Überschall
Überschall (German Überschall: supersonic) is an improvisational rock band based in Las Vegas, Nevada consisting of past and present Blue Men and band members of Blue Man Group. Uberschall frequently performs at the Double-Down Saloon.

Blue Man Group
Blue Man Group is an American performance art company based in New York City in 1987. It is known for its stage productions that incorporate many kinds of music and art, both popular and obscure. Its performers, known as Blue Men, have their skin painted blue. They are mute during shows and always appear in groups of three.

As of 2025, the company's only United States show is in Las Vegas.

A typical production employs seven to nine full-time Blue Men who are selected by audition. In addition to their stage shows, Blue Man Group has toured nationally and internationally, appeared on television programs as characters and performers, released multiple studio albums, contributed to a number of film scores, and performed with orchestras around the United States.
Choyang Tangwang station
Choyang T'an'gwang station (Choyang Colliery station) is a railway station in Choyang-dong, Kaech'ŏn municipal city, South P'yŏngan province, North Korea. It is the terminus of the Choyang Colliery Line of the Korean State Railway.

Choyang Tangwang Line
The Choyang T'an'gwang Line, or Choyang Colliery Line is an electrified railway line of the Korean State Railway in Kaech'ŏn city, South P'yŏngan Province, North Korea, running from Kaech'ŏn at the junction of the Kaech'ŏn and Manp'o Lines to Choyang Colliery.
Le Lac (poem)
Le Lac (English: The Lake) is a poem by French poet Alphonse de Lamartine. The poem was published in 1820.

The poem consists of sixteen quatrains. It was met with great acclaim and propelled its author to the forefront of famous romantic poets.

The poem is often compared to the Tristesse d'Olympio of Victor Hugo and the Souvenir of Alfred de Musset. It was set to music by Niedermeyer and more recently by British composer David Matthews, which was premiered by the Orchestra of the Swan and soprano April Fredrick under the baton of Kenneth Woods in 2019.

Louis Niedermeyer
Abraham Louis Niedermeyer (27 April 1802 – 14 March 1861) was a Swiss and naturalized French composer.

He chiefly wrote church music and a few operas. He also taught music and took over the École Choron, renamed École Niedermeyer de Paris, a school for the study and practice of church music, with students that include several eminent French musicians such as Gabriel Fauré and André Messager.
Odartey Lamptey
Private Odartey Lamptey (died 28 February 1948) was a Ghanaian soldier and activist. He was one of the three veterans shot dead by Superintendent Colin Imray  while on their way to present a petition to Sir Gerald Creasy who was Governor of Gold Coast at the time. The death of these three ex-servicemen led to the 1948 Accra Riots and subsequently the arrest of "the Big Six".

The Big Six (Ghana)
The Big Six were six leaders of the United Gold Coast Convention (UGCC), one of the leading political parties in the British colony of the Gold Coast, known after independence as Ghana. They were detained by the colonial authorities in 1948 following disturbances that led to the killing of three World War II veterans. They are pictured on the front of the Ghana cedi notes.
Wolfgang Boss
Wolfgang Boss is a German music executive, producer and president of A&R for  Sony Music Entertainment company.  
Wolfgang holds the position of Sony Music's Executive President A&R globally since 2013. With more than 100 gold and platinum certifications Wolfgang Boss is one of the most successful A&R executives of the last two decades.

Axel F
"Axel F" is an electronic instrumental track by German musician Harold Faltermeyer. The track served as the theme tune for the film Beverly Hills Cop, its eponymous character, and the film franchise it is based on, and became an international number one hit in 1985. The single was released in 1984 by MCA Records and reached number one in Ireland as well as on the US Billboard Hot Dance Club Play chart. Additionally, it was a number-two hit in Belgium, Canada, the Netherlands, Switzerland, the United Kingdom, and West Germany.

In addition to the Beverly Hills Cop soundtrack, the track also appears on Faltermeyer's own album Harold F. as a bonus track. Its music video was directed by Faltermeyer himself.
YOLO (film)
YOLO (Chinese: 热辣滚烫; pinyin: Rè là gǔntàng; lit. 'A Hot', 'Spicy', 'Boiling', 'Burning [Life]') is a 2024 Chinese comedy-drama film directed by Jia Ling and starring Jia and Lei Jiayin. A comedic adaptation of the 2014 Japanese film 100 Yen Love, it tells the story of Du Leying who has stayed at home for many years, and after meeting boxing coach Hao Kun overcomes the challenges that follow and starts a new life.

YOLO grossed $484.5 million worldwide, making it the highest-grossing Chinese film in 2024.

100 Yen Love
100 Yen Love (百円の恋, Hyakuen no Koi) is a 2014 Japanese sports drama film directed by Masaharu Take and starring Sakura Ando. The film was released in Japan on December 20, 2014. It was selected as the Japanese entry for the Best Foreign Language Film at the 88th Academy Awards but it was not nominated.
Gerald Perry (American football)
Gerald Perry (born November 12, 1964) is an American former professional football player who was an offensive tackle for eight seasons in the National Football League (NFL). He played college football for the Southern Jaguars and was selected by the Denver Broncos in the second round of the 1988 NFL draft. He started in Super Bowl XXIV for the Broncos. He was a star basketball player in high school, winning the honor of the state's Mr. Basketball in 1983 as a center for Dreher High School.

On December 27, 1989, Perry was convicted of soliciting a prostitute, and was sentenced to 15 days imprisonment. He was injured in a shooting in 2009.

Southern Jaguars football
The Southern Jaguars are the college football team representing Southern University. The Jaguars play in NCAA Division I Football Championship as a member of the Southwestern Athletic Conference (SWAC). The Jaguars started collegiate football in 1916, and played in the Gulf Coast Athletic Conference before joining the SWAC in 1934.

Every late November they play their last regular season game against in-state rival Grambling in the Bayou Classic in New Orleans, Louisiana. Another notable football rivalry, dubbed the "BoomBox Classic", is played against Jackson State yearly.
Janowo, Myślibórz County
Janowo [jaˈnɔvɔ] is a village in the administrative district of Gmina Barlinek, within Myślibórz County, West Pomeranian Voivodeship, in north-western Poland. It lies approximately 4 km (2 mi) north of Barlinek, 25 km (16 mi) north-east of Myślibórz, and 59 km (37 mi) south-east of the regional capital Szczecin.

Gmina Barlinek
Gmina Barlinek is an urban-rural gmina (administrative district) in Myślibórz County, West Pomeranian Voivodeship, in north-western Poland. Its seat is the town of Barlinek, which lies approximately 24 kilometres (15 mi) east of Myślibórz and 62 km (39 mi) south-east of the regional capital Szczecin.

The gmina covers an area of 258.77 square kilometres (99.9 sq mi), and as of 2006 its total population is 19,528, of which the population of Barlinek is 14,156, and the population of the rural part of the gmina is 5,372.

The gmina contains part of the protected area called Barlinek-Gorzów Landscape Park.
My Transsexual Summer
My Transsexual Summer is a British documentary-style reality series about seven transgender people in different stages of transition. For five weekends in the summer of 2011, they stay together in a large holiday home in Bedfordshire, where they meet and help each other with some of the struggles that transgender people face. Between these weekend retreats, they go back to their lives and real-world challenges.

In the early 2010s, Channel 4 resolved to improve the accuracy and depth of their representation of transgender people. My Transsexual Summer was the first transgender programme they created after making this resolution. Channel 4 broadcast the series in November 2011. It was rebroadcast in the UK on More4 in 2012, and on ABC2 in Australia in 2013. Also in 2013, two of the show's participants themselves started making documentary short films and videos about being transgender.

Paris Lees
Paris Lees is an English author, journalist, presenter and campaigner. She topped The Independent on Sunday's 2013 Pink List, came second in the 2014 Rainbow List, and was awarded the Positive Role Model Award for LGBT in the 2012 National Diversity Awards. Lees is the first transgender columnist at Vogue and was the first transgender woman to present shows on BBC Radio 1 and Channel 4. Her first book, What It Feels Like For a Girl, was published by Penguin in 2021 and adapted into a television series in 2025.
Harborfields Central School District
Harborfields Central School District is a school district in the Town of Huntington in Suffolk County, New York on the North Shore of Long Island. The district serves four hamlets; all of Centerport, large parts of Huntington and Greenlawn, and a small part of Huntington Station.

Huntington (CDP), New York
Huntington is a hamlet and census-designated place (CDP) located within the Town of Huntington in Suffolk County, on the North Shore of Long Island, in New York, United States. The population was 19,645 at the time of the 2020 census. The hamlet serves as the Town Seat of the Town of Huntington.

The hamlet's central business district, known locally as Huntington Village, is old and well developed, but it is not incorporated and does not have a village form of government.
Processor direct slot
A processor direct slot (PDS) is a slot incorporated into many older Macintosh models that allowed direct access to the signal pins of a CPU, similar to the functionality of a local bus in PCs. This would result in much higher speeds than having to go through a bus layer, such as NuBus, which typically ran at a slower 10 MHz speed.

Macintosh LC
The Macintosh LC is a personal computer designed, manufactured, and sold by Apple Computer, Inc. from October 1990 to March 1992. The "LC" in the name stood for Low Cost—or Low-cost Color, a reference to it being the first affordable color Macintosh computer for the entry level consumer.
Volkhov (river)
The Volkhov (/ˈvɔːlxɒv/ VAWL-khov; Russian: Волхов [ˈvoɫxəf]; Veps: Olhav) is a river in Novgorodsky and Chudovsky Districts of Novgorod Oblast and Kirishsky and Volkhovsky Districts of Leningrad Oblast in northwestern Russia. The Volkhov, which forms part of the basin of the Neva, is the only outflow of Lake Ilmen, and connects it with Lake Ladoga. The length of the Volkhov is 224 kilometres (139 mi), and the area of its drainage basin is 80,200 square kilometres (31,000 sq mi). The city of Veliky Novgorod, the towns of Kirishi, Volkhov and Novaya Ladoga, and the historically important village of Staraya Ladoga are located along the Volkhov.

Novgorodsky District
Novgorodsky District (Russian: Новгородский район) is an administrative and municipal district (raion), one of the twenty-one in Novgorod Oblast, Russia. It is located in the southwest of the oblast and borders with Tosnensky District of Leningrad Oblast in the north, Chudovsky District in the northeast, Malovishersky District in the east, Krestetsky District in the southeast, Shimsky District in the southwest, Batetsky District in the west, and with Luzhsky District of Leningrad Oblast in the northwest. In the south, the district is limited by Lake Ilmen. The area of the district is 4,600 square kilometers (1,800 sq mi). Its administrative center is the city of Veliky Novgorod (which is not administratively a part of the district). Population: 57,673 (2010 census); 58,622 (2002 Census); 55,491 (1989 Soviet census). In terms of both area and population, this is the largest district in Novgorod Oblast.