hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Myers's theorem
Myers's theorem, also known as the Bonnet–Myers theorem, is a celebrated, fundamental  theorem in the mathematical field of Riemannian geometry.  It was discovered by Sumner Byron Myers in 1941. It asserts the following:

In the special case of surfaces, this result was proved by Ossian Bonnet in 1855. For a surface, the  Gauss, sectional, and Ricci curvatures are all the same, but Bonnet's proof easily generalizes to higher dimensions if one assumes a positive lower bound on the  sectional curvature. Myers' key contribution was therefore to show that a Ricci lower bound is all that is needed to reach the same conclusion.

Sectional curvature
In Riemannian geometry, the sectional curvature is one of the ways to describe the curvature of Riemannian manifolds. The sectional curvature K(σp) depends on a two-dimensional linear subspace σp of the tangent space at a point p of the manifold. It can be defined geometrically as the Gaussian curvature of the surface which has the plane σp as a tangent plane at p, obtained from geodesics which start at p in the directions of σp (in other words, the image of σp under the exponential map at p). The sectional curvature is a real-valued function on the 2-Grassmannian bundle over the manifold.

The sectional curvature determines the Riemann curvature tensor completely.
Rumelia Eyalet
The Eyalet of Rumeli, or Eyalet of Rumelia (Ottoman Turkish: ایالت روم ایلی, romanized: Eyālet-i Rūm-ėli), known as the Beylerbeylik of Rumeli until 1591, was a first-level province (beylerbeylik or eyalet) of the Ottoman Empire encompassing most of the Balkans ("Rumelia"). For most of its history, it was the largest and most important province of the Empire, containing key cities such as Edirne, Yanina (Ioannina), Sofia, Filibe (Plovdiv), Manastır/Monastir (Bitola), Üsküp (Skopje), and the major seaport of Selânik/Salonica (Thessaloniki). It was also among the oldest Ottoman eyalets, lasting more than 500 years with several territorial restructurings over the long course of its existence.

The capital was in Adrianople (Edirne), Sofia, and finally Monastir (Bitola). Its reported area in an 1862 almanac was 48,119 square miles (124,630 km2).

Sanjak of Monastir
The Sanjak of Monastir or Manastir (Turkish: Manastir Sancağı) or Bitola, was a sanjak within the Rumelia Eyalet (1465–1867) and then the Manastir Vilayet (1874–1912). The administrative seat was in Manastir (Bitola).
Didsbury
Didsbury is a suburb of Manchester, England, on the north bank of the River Mersey, 5 miles (8 kilometres) south of Manchester city centre. The population at the 2011 census was 26,788.

Within the boundaries of the historic county of Lancashire, there are records of Didsbury existing as a small hamlet as early as the 13th century. Its early history was dominated by being part of the Manor of Withington, a feudal estate that covered a large part of what is now the south of Manchester. Didsbury was described during the 18th century as a township separate from outside influence. In 1745 a section of the Jacobite army including the Duke of Perth crossed the Mersey at Didsbury in the Jacobite march south from Manchester to Derby.

Didsbury was largely rural until the mid-19th century, when it underwent development and urbanisation during the Industrial Revolution. It became part of Manchester in 1904.

The Royal Society for the Protection of Birds was formed in Didsbury in 1889.

Withington and West Didsbury railway station
Withington and West Didsbury (previously named Withington and Withington & Albert Park) is a former railway station in West Didsbury, in south Manchester, England. It was located on Lapwing Lane, close to the junction with Palatine Road and opposite Withington Town Hall. Nothing now remains of the old station buildings, which have been demolished. The area is now served by West Didsbury tram stop, which is approximately 85 metres (279 ft) further down the line from the original station.
GS9
GS9 is an American hip hop collective and a street gang based in New York City, United States. Its current members include Bobby Shmurda, Rowdy Rebel, Fetty Luciano, Corey Finesse, Abillyon, Wayveeporter, and Lil Skrap1090.

Bobby Shmurda
Ackquille Jean Pollard (born August 4, 1994), known professionally as Bobby Shmurda, is an American rapper. Along with Rowdy Rebel, Shmurda is considered a pioneer of Brooklyn drill music. He rose to international fame in 2014 when his single, "Hot Nigga", peaked at number six on the Billboard Hot 100. Its success led him to sign with Epic Records to release his debut extended play (EP), Shmurda She Wrote (2014).

In December 2014, New York City Police arrested Shmurda and charged him, along with several other members of GS9, with conspiracy to murder, weapons possession, and reckless endangerment. In 2016, he pleaded guilty and was sentenced to seven years in prison, which was reduced to five years after receiving credit for the two years he already served awaiting trial. After over six years in prison, Shmurda was released from Clinton Correctional Facility in February 2021. His release was celebrated in the hip-hop community.
Manitoba Highway 83
Provincial Trunk Highway 83 (PTH 83) is a 402 kilometres (250 mi) long, major north–south highway that runs in the far western region of the Canadian province of Manitoba. It travels from the North Dakota border south of Melita, north through Virden, Birtle, Russell, and Roblin to its northern terminus with PTH 10 in the town of Swan River. Along with U.S. 83, PTH 83 is part of a continuously numbered north–south highway in North America with a combined distance of 3,450 kilometres (2,140 mi).

PTH 83 travels no further than 32 kilometres (20 mi) east of the Saskatchewan border, and comes within 2 kilometres (1.2 mi) of the provincial boundary from the junction with PR 487 just north of Benito to the junction with PTH 57.

Manitoba Provincial Road 366
Provincial Road 366 (PR 366) is a 219-kilometre-long (136 mi) north-south provincial road in the Parkland Region and Swan River Valley of the Canadian province of Manitoba. It serves as the main north-south thoroughfare through Duck Mountain Provincial Park, as well as providing a connection between Inglis and Grandview on its southern end, while also connecting Minitonas and Bonsman on its northern end.
Joyrex J5 EP
Joyrex J5 EP is an EP by Richard D. James under the alias Caustic Window. The release is a 12 inch vinyl.

All tracks, except the untitled second track on side B, were later re-released on the album Compilation.

Compilation (Caustic Window album)
Compilation (also known as Caustic Window Compilation) is an album released by Richard D. James under the pseudonym Caustic Window. The album consists of most of the tracks from the EPs Joyrex J4 EP, Joyrex J5 EP, Joyrex J9i and Joyrex J9ii.
Lê Quang Liêm
Lê Quang Liêm (born 13 March 1991) is a Vietnamese chess grandmaster, the top-ranked of his country. He was awarded the title of Grandmaster by FIDE in 2006. Liêm won the Asian Chess Championship in 2019 and was the World Blitz Chess Champion in 2013.

He has competed for the Vietnamese team at the Chess Olympiad since 2006. The best result occurred in 2012, when he scored 8/10 points on board 1 and his team finished in 7th place, the highest ever for Vietnam.

Since 2021, Quang Liêm has been living in St. Louis, Missouri, working as head coach for the Webster University Chess Team.

Ruslan Ponomariov
Ruslan Olehovych Ponomariov (Ukrainian: Русла́н Оле́гович Пономарьо́в; born 11 October 1983) is a Ukrainian chess grandmaster. He was FIDE World Chess Champion from 2002 to 2004 and is the youngest holder of the title at the age of 18 years and 104 days, though the title was split at the time. He won the Ukrainian Chess Championship in 2011.

He was runner-up in the Chess World Cup 2005 and Chess World Cup 2009, and reached the semi-finals in 2011 and the quarterfinals in 2007.
The Forbidden Girl
The Forbidden Girl (German: Das verbotene Mädchen) is a 2013 German horror film that was directed by Till Hastreiter. The film was released in Germany on 7 February 2013 and was released to video in the United States on 26 August 2014. It stars Peter Gadiot as a young man that finds himself fascinated by a woman who seems to be the mirror image of his former sweetheart, who was carted off by a demon six years ago.

Peter Gadiot
Alan-Peter Gadiot (/ˈɡædioʊ/, born 2 January 1985) is a British actor known for his roles as James Valdez in the USA Network show Queen of the South (2016–2021) and as Shanks in Netflix's series One Piece (2023). He also played Cyrus in ABC's Once Upon a Time in Wonderland (2013–2014), Adam in Showtime's Yellowjackets (2021), and Tom Westfall in season two of NBC's Quantum Leap (2023–2024).
Pelican West
Pelican West is the debut studio album by the British new wave band Haircut One Hundred, released on 26 February 1982 by Arista Records. It peaked at No. 2 on the UK Albums Chart and No. 31 on the Billboard 200, and was certified platinum by the British Phonographic Industry (BPI).

The album featured three hit singles: "Love Plus One", "Favourite Shirts (Boy Meets Girl)" and "Fantastic Day". It was reissued on CD in 1992, retitled as Pelican West Plus and including five bonus tracks.

Frontman Nick Heyward later said, "It was a team effort, and everyone had their roles. My job was like the Paul McCartney one in the Beatles' Get Back film. The rest of the guys looked to me for direction, and I had to push them to turn these glorified jam sessions into three-minute pop songs."

Nick Heyward
Nicholas Heyward (born 20 May 1961) is an English singer-songwriter and guitarist. He came to international attention in the early 1980s as the lead singer and songwriter for Haircut One Hundred. He and the band parted ways after their first album, after which he continued as a solo artist.
Edguy
Edguy is a German power metal band formed in 1992 in Fulda by students Tobias Sammet, Jens Ludwig, Dominik Storch, and Dirk Sauer. Initially named after their math teacher, the band faced early rejections from record labels but persevered, releasing their unofficial debut album, Savage Poetry, in 1995. They gained wider recognition with their subsequent albums, including Kingdom of Madness (1997) and Vain Glory Opera (1998), featuring guest appearances from notable musicians. Over the years, Edguy has evolved their sound, with Sammet also launching the successful metal opera project Avantasia. The band has released multiple studio albums, including Age of the Joker (2011) and Space Police: Defenders of the Crown (2014), and has engaged in extensive touring. As of March 2020, Edguy is on hiatus while Sammet focuses on new Avantasia material.

Age of the Joker
Age of the Joker is the ninth studio album by the German power metal band Edguy. It was released on 26 August 2011 through Nuclear Blast.

Alongside the normal release, a double disc digipak edition was also issued, featuring b-sides, single versions of two album songs, as well as a cover of the Slade hit "Cum on Feel the Noize". A music video was shot for "Robin Hood", featuring German comedian Bernhard Hoecker and parodying the film The Adventures of Robin Hood.

The album was listed at many charts throughout Europe, reaching No. 3 in Germany, No. 10 in Czech Republic, No. 13 in Switzerland, No. 30 in Austria and No. 63 in France.
Sverre Stenersen
Sverre Stenersen (18 June 1926 – 17 December 2005) was a Norwegian Nordic combined skier who dominated the event throughout the 1950s. His biggest triumphs were winning individual gold medals at the 1954 World Championships and 1956 Olympics. He also won a bronze at the 1952 Olympics and a silver at the 1958 World Championships. Stenersen won the Nordic combined event at the national championships in 1954–58 and at the Holmenkollen ski festival in 1955, 1956 and 1959. In 1955 he received the Holmenkollen medal, shared with King Haakon VII, Hallgeir Brenden, and Veikko Hakulinen.

Stenersen was born on a small farm in Målselv Municipality. In the late 1940s, seeking better training conditions, he moved to the Oslo area and worked there as a lumberjack to earn a living. He retired after placing seventh at the 1960 Winter Olympics and for several years ran a sport store in Målselv. After that he served as secretary for culture and sport in his municipality until retiring by age.

Veikko Hakulinen
Veikko Johannes Hakulinen (4 January 1925 – 24 October 2003) was a Finnish cross-country skier, triple champion in both the Olympics and World Championships. He also competed in biathlon, orienteering, ski-orienteering, cross-country running, and rowing at a national level.
Smart Strike
Smart Strike (May 21, 1992, in Ontario – March 25, 2015) was a Canadian Thoroughbred racehorse. The son of the Champion sire, Mr. Prospector, and out of the Canadian Horse Racing Hall of Fame mare Classy 'n Smart, Smart Strike is a half-brother to 1991 Canadian Triple Crown champion Dance Smartly.

Owned and bred by Sam-Son Farm, on the racetrack, Smart Strike's most important win came in the Grade I Philip H. Iselin Handicap. However, he was just developing into a top-flight horse when his career was cut short by injury.  He suffered a condylar fracture during a workout while preparing for the Breeders' Cup.

At maturity, he reached 16 hands (64 inches, 163 cm) high.

Dance Smartly
Dance Smartly (1988–2007) was a Champion Thoroughbred racemare who went undefeated in 1991 while winning the Canadian Triple Crown and becoming the first horse bred in Canada to win a Breeders' Cup race. She was inducted into both the Canadian and American Racing Halls of Fame.

Bred in Ontario by Ernie Samuel's Sam-Son Farm, Dance Smartly was a bay mare with a distinctive white star on her forehead that earned her the nickname Daisy. She was by Danzig, one of Northern Dancer's most influential sire sons. Her dam was the Canadian Hall of Fame mare Classy 'n Smart by Smarten. She was trained by Jim Day.
Cumberland County, Virginia
Cumberland County is a quiet, rural United States county located near the geographic center of the Commonwealth of Virginia.  The county's population is 9,675, as of the 2020 census, and the county seat is the small town of Cumberland.

The county was created in 1749 from part of Goochland County, and was named in honor of  Prince William Augustus, the Duke of Cumberland at the time.  In April 1776, it became the first Virginia county to call for independence from Great Britain.

Cumberland, Virginia
Cumberland is a census-designated place (CDP) in and the county seat of Cumberland County, Virginia, United States. Cumberland lies along U.S. Route 60 and State Route 45. It is 48 miles (77 km) west of Richmond and 51 miles (82 km) east of Amherst. The population as of the 2020 census was 365.
Roger Brousse
Roger Brousse (8 June 1901 – 24 September 1975) was a French boxer. He competed in the 1924 Summer Olympics. In 1924, Brousse initially was awarded the victory on points in his quarter-final bout of the middleweight class. However, he was later disqualified for having bitten his opponent, the eventual gold medallist, Harry Mallin.

Roger François Brousse was born on 8 June 1901 in Courtenay. He died on 24 September 1975 in Vétheuil at the age of 74.

Harry Mallin
Henry William Mallin (1 June 1892 – 8 November 1969) was an English middleweight amateur boxer. He came originally from Hackney Wick, his younger brother was the Olympic boxer Fred Mallin. He lived in Dartmouth Park, North London and was a police officer with the Metropolitan Police.
Bridget Regan
Bridget Catherine Regan (/ˈriːɡənˈ/ REE-gən; born February 3, 1982) is an American actress best known for her lead roles as Kahlan Amnell in the ABC adventure romance series Legend of the Seeker (2008–10) and Sasha Cooper in the last three seasons of the TNT action drama series The Last Ship (2016–18), as well as her recurring roles as Rebecca Lowe / Rachel Turner in the USA Network police procedural drama series White Collar (2013–14), Rose Solano in The CW romantic comedy drama series Jane the Virgin (2014–19), Dottie Underwood in the ABC action adventure superhero series Agent Carter (2015–16), and as lawyer Monica Stevens in the ABC police series The Rookie (2018–present). Regan has also appeared in films such as The Babysitters (2007), John Wick (2014), and Devil's Gate (2017).

White Collar (TV series)
White Collar is an American police procedural television series created by Jeff Eastin, starring Tim DeKay as FBI Special Agent Peter Burke and Matt Bomer as Neal Caffrey, a highly intelligent, charming and multi-talented con artist, forger, and thief, working as both Burke's criminal informant and an FBI consultant. Willie Garson and Tiffani Thiessen also star. The show premiered on October 23, 2009, on USA Network, and aired six complete seasons, concluding on December 18, 2014.

In June 2024, after four years of stops and starts, it was announced that a reboot with many members of the original cast is in the works.
The More You Ignore Me, the Closer I Get
"The More You Ignore Me, the Closer I Get" is a song by English singer-songwriter Morrissey, co-written by Boz Boorer released as a single on 28 February 1994, by Parlophone. It was taken from the then-unreleased Vauxhall and I album and was the first Morrissey single to be produced by Steve Lillywhite. The extra B-side "I'd Love To" features Kirsty MacColl on backing vocals.

Reaching number eight on the UK Singles Chart, the single became Morrissey's first top-10 hit since "Interesting Drug" in 1989. It is also Morrissey's only charting single on the US Billboard Hot 100, reaching number 46, and it became his second Modern Rock Tracks number-one hit. The song also reached the top 50 in Canada, France and Ireland. It charted the highest in Iceland, where it reached number two for three weeks.

Boz Boorer
Martin James "Boz" Boorer (born 19 May 1962) is an English guitarist and producer. He founded the new wave rockabilly group the Polecats, and starting in 1991 had a 30-year collaboration with singer Morrissey as co-writer, guitarist and musical director.
Irvin Mayfield
Irvin Mayfield Jr. (born December 23, 1977) is an American trumpeter, composer, bandleader and educator.  On November 3, 2021, Mayfield was sentenced to 18 months in prison for defrauding the New Orleans public library system for over one million dollars.

Kermit Ruffins
Kermit Ruffins (born December 19, 1964) is an American jazz trumpeter, singer, and composer from New Orleans. He has been influenced by Louis Armstrong and Louis Jordan and says that the highest note he can hit on trumpet is a high C. He often accompanies his songs with his own vocals. Most of his bands perform New Orleans jazz standards though he also composes many of his own pieces. Jon Pareles of The New York Times wrote, "Mr. Ruffins is an unabashed entertainer who plays trumpet with a bright, silvery tone, sings with off-the-cuff charm and never gets too abstruse in his material."
Al Fong
Al Fong (born c. 1953) is an American gymnastics coach and owner of Great American Gymnastics Express, a gymnastics club in Blue Springs, Missouri. Fong coached Julissa Gomez and Christy Henrich, Olympic hopefuls for the 1988 Seoul Olympics, who died after a competition accident and from anorexia, respectively. He has since coached two Olympic silver medalists: Terin Humphrey and Courtney McCool.

In 2025, USA Gymnastics suspended Fong from coaching for five years after an investigation substantiated allegations of verbal, physical, and emotional abuse.

Christy Henrich
Christina "Christy" Renée Henrich (July 18, 1972 – July 26, 1994) was an American artistic gymnast. Her death from anorexia nervosa at age 22 led to major reforms in the way women's gymnastics is covered on television and in the news media. She was coached by Al Fong.
Hyderabad House
Hyderabad House is an official residence in New Delhi, India. It is the State Guest House of the Prime Minister of India. It is used by the Government of India for banquets, and as a venue for meetings with visiting foreign dignitaries. It was designed by British architect Sir Edwin Lutyens as a residence for Mir Osman Ali Khan, the last Nizam of Hyderabad.

Baroda House
28°37′01″N 77°13′50″E﻿ / ﻿28.616831°N 77.230480°E﻿ / 28.616831; 77.230480

Baroda House was the residence of the Maharaja of Baroda in Delhi. It is located on Kasturba Gandhi Marg, next to Faridkot House.
My Tender Matador (film)
My Tender Matador (Spanish: Tengo miedo torero) is a 2020 historical romantic drama film directed by Rodrigo Sepúlveda with a screenplay written by the same Sepúlveda, alongside Juan Elias Tovar. It is based on Pedro Lemebel's 2001 novel of the same name. It is a co-production between Chile, Argentina and Mexico.

Pedro Lemebel
Pedro Segundo Mardones Lemebel (21 November 1952 – 23 January 2015) was a Chilean essayist, chronicler, performer and novelist.  He was openly gay and known for his cutting critique of authoritarianism and for his humorous depiction of Chilean popular culture, from a queer perspective. He was nominated for Chile's National Literature Prize in 2014. He died of laryngeal cancer on 23 January 2015 in Santiago, Chile.
Yukti Kapoor
Yukti Kapoor is an Indian  actress who mainly works in Hindi television. She is best known for portraying Urmila in Star Plus's mythological series, Siya Ke Ram,  Ragini Singh in &TV's drama series Agniphera and Karishma Singh in Sony Sab's comedy series Maddam Sir.

Siya Ke Ram
Siya Ke Ram (transl. Sita's Ram) is an Indian television series on Star Plus produced by Nikhil Sinha under the banner of Triangle Film Company. This show presents the epic Ramayana, the story of Sita and from Sita's perspective. The show features Madirakshi Mundle as Sita and Karthik Jayaram as Raavan. It premiered on 16 November 2015 and ended on 4 November 2016.
Shubhangi Atre
Shubhangi Atre (born 11 April 1981) is an Indian television actress. Atre debuted in acting with Ekta Kapoor's Kasautii Zindagii Kay where she played Palchinn Basu. She went on to earn numerous recognition and awards success for starring as the titular lead, Kasturi, in Kapoor's Kasturi (2007–09), Preeti in the Indian Drama serial Do Hanson Ka Jodaa (2009-2010) and Angoori Manmohan Tiwari in the Hindi sitcom Bhabiji Ghar Par Hain! (2016–2025), that ranks among the longest running Indian comedy sitcoms.

Kasturi (2007 TV series)
Kasturi is an Indian soap opera that aired on STAR Plus channel from 23 April 2007 through 31 March 2009. It starred Shubhangi Atre and Karan Patel in the lead roles. The soap opera was created by Ekta Kapoor and was produced by her production company Balaji Telefilms.
The Ducksters
The Ducksters is a 1950 Warner Bros. Looney Tunes theatrical cartoon short, directed by Chuck Jones and written by Michael Maltese. The cartoon was released on September 2, 1950, and stars Daffy Duck and Porky Pig. The title is a pun on the 1947 film The Hucksters, and the cartoon is a parody largely based on the popular game and quiz show Truth or Consequences.

Truth or Consequences
Truth or Consequences is an American game show originally hosted on NBC radio by Ralph Edwards (1940–57) and later on television by Edwards (1950–54), Jack Bailey (1954–56), Bob Barker (1956–75), Steve Dunne (1957–58), Bob Hilton (1977–78) and Larry Anderson (1987–88). The television show ran on CBS, NBC and also in syndication. The premise of the show was to mix the original quiz element of game shows with wacky stunts.

The daily syndicated show was produced by Ralph Edwards Productions (later Ralph Edwards/Stu Billett Productions), in association with and distributed by Metromedia Producers Corporation (1966–78) and Lorimar-Telepictures (1987–88). Current rights are owned by Ralph Edwards Productions.