hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Gromov's inequality
The following pages deal with inequalities due to Mikhail Gromov:

Bishop–Gromov inequality

Gromov's inequality for complex projective space

Gromov's systolic inequality for essential manifolds

Lévy–Gromov inequality

Gromov's inequality for complex projective space
In Riemannian geometry, Gromov's optimal stable 2-systolic inequality is the inequality

,

valid for an arbitrary Riemannian metric on the complex projective space, where the optimal bound is attained
by the symmetric Fubini–Study metric, providing a natural geometrisation of quantum mechanics.  Here  is the stable 2-systole, which in this case can be defined as the infimum of the areas of rational 2-cycles representing the class of the complex projective line  in 2-dimensional homology.

The inequality first appeared in Gromov (1981) as Theorem 4.36.

The proof of Gromov's inequality relies on the Wirtinger inequality for exterior 2-forms.
National Lacrosse League Weekly Awards
In the 1994 season, the National Lacrosse League (then called the Major Indoor Lacrosse League) began naming a Player of the Week. The first recipient was Buffalo Bandits legend John Tavares.

In 2002, the league renamed the award to Overall Player of the Week, and added weekly awards for Offensive Player of the Week, Defensive Player of the Week, and Rookie of the Week. In 2007, another new award was added, Transition Player of the Week.

National Lacrosse League
The National Lacrosse League (NLL) is a professional box lacrosse league in North America. The league comprises 14 teams – 7 in the United States and 7 in Canada. The NLL is headquartered in Philadelphia, Pennsylvania.

The NLL ranks third in average attendance for pro indoor sports worldwide, behind only the National Hockey League (NHL) and National Basketball Association (NBA). Unlike other box lacrosse leagues, which play in the summer, the NLL plays its games in the winter and spring, from December to June. Each year, the playoff teams battle for the National Lacrosse League Cup. The NLL has averaged between 8,900 and 10,700 spectators per game each year since 2004.
Antonio Allegra
Antonio Allegra (1905 – 1969) was an Italian organist and lyricist. As one of the organists of St. Peter's Basilica at his time, he wrote the words to Inno e Marcia Pontificale, which was adopted in 1949 as the national anthem of the Holy See (Vatican City).  The music was by Charles Gounod.

Pontifical Hymn
The "Pontifical Hymn" (Italian: Inno Pontificio), also known as the "Pontifical Anthem and March" (Italian: Inno e Marcia Pontificale; Latin: Hymnus et modus militaris Pontificalis), is the anthem played to mark the presence of the Pope or one of his representatives, such as a nuncio, and on other solemn occasions. When the Vatican's flag is ceremonially raised, only the first eight bars are played.

While the Papal Anthem also serves as the national anthem of the Holy See and the Vatican City State, the Vatican stresses that it "is not to be understood as a national anthem"; it is a composition whose words and music "speak to the heart of many throughout the world who see in Rome the See of Peter."
Remember (Becky Hill and David Guetta song)
"Remember" is a song by English singer and songwriter Becky Hill and French DJ and producer David Guetta. It was released on 18 June 2021 as the fourth single from Hill's debut studio album, Only Honest on the Weekend. The song peaked at number three on the UK Singles Chart, becoming Hill's fourth top ten hit and Guetta's twenty-sixth.

Despite only peaking at #34 on the Australian ARIA Charts, it was the second-most played song on Australian radio in 2022.

Only Honest on the Weekend
Only Honest on the Weekend is the debut studio album by English singer Becky Hill, released on 27 August 2021 through Eko and Polydor Records. The album was preceded by the release of five singles over the course of 2020 and 2021: "Better Off Without You", "Heaven on My Mind", "Last Time", "Remember" and "My Heart Goes (La Di Da)", all of which reached the top 40 of the UK Singles Chart. It includes collaborations with Shift K3Y, David Guetta, Topic, S1mba, Ella Eyre, Banx & Ranx, Sigala and 220 Kid.

A deluxe edition, released in March, included the single "Run" featuring Galantis and was updated again in August 2022, with "History" with Joel Corry and "Crazy What Love Can Do", with Guetta and Ella Henderson.

Only Honest on the Weekend peaked at number seven on the UK Albums Chart and has been certified platinum.
Vladimír Hrivnák
Vladimír Hrivnák (23 April 1945 – 17 October 2014) was a Slovak football player and later a football manager. He played for Czechoslovakia, for which he played 13 matches. He helped Slovan Bratislava to the 1969 European Cup Winners' Cup Final where he scored one of their goals as they beat Barcelona 3–2.

He was a participant at the 1970 FIFA World Cup. He played mostly for Slovan Bratislava.

Hrivnák coached DAC Dunajská Streda, ZŤS Košice, Inter Bratislava, DAC Dunajská Streda, Matador Púchov, ŠKP Bratislava.

ŠK Slovan Bratislava
ŠK Slovan Bratislava (Slovak pronunciation: [ˈslɔʋam ˈbracislaʋa], "Bratislava Slavs") is a professional football club based in Bratislava, Slovakia, that plays in the Slovak First Football League. Founded as I. ČSŠK Bratislava in 1919, the club changed its name to Slovan Bratislava in 1953. Slovan is the most successful team in Slovakia with the most titles in both league and cup in the country.

Slovan Bratislava became the first and so far only club in Slovakia as well as former Czechoslovakia to win one of the European cup competitions, the Cup Winners' Cup when they defeated FC Barcelona in the final in Basel in 1969. The club also supplied seven players to the victorious Czechoslovakia team of UEFA Euro 1976.
Osceola Magic
The Osceola Magic are an American professional basketball team in the NBA G League based in Kissimmee, Florida, and are affiliated with the Orlando Magic. The Magic began play in the 2017–18 season as the Lakeland Magic, and now play their home games at the Silver Spurs Arena.

The franchise was previously based in Erie, Pennsylvania, and known as the Erie BayHawks until their move to Lakeland in 2018. The franchise was known as the Lakeland Magic until April 11, 2023, when the Orlando Magic announced that the team would move to Kissimmee beginning in November 2023 and be renamed the Osceola Magic.

Alade Aminu
Abdul Wahab "Alade" Aminu Listenⓘ(born September 14, 1987) is a Nigerian-American former professional basketball player. He played college basketball for the Georgia Tech Yellow Jackets, before playing professionally in France, Turkey, Italy, Israel, and Lebanon. In 2015–16, he was the top rebounder in the Israel Basketball Premier League.
Terry Betts
Terence Arnold Betts (born 15 September 1943 in Harlow, Essex, England) is a former international speedway rider who reached the final of the Speedway World Championship in 1974. He became World Pairs Champion with Ray Wilson in 1972 and was a member of the Great Britain team that won the World Team Cup in 1972 and 1973.

King's Lynn Stars
King's Lynn Stars are a motorcycle speedway team who compete in the SGB Premiership. The nickname "Stars" was adopted from the defunct Norwich Stars team. The team was founded in 1965 and has been running continually since then, except for 1996 when King's Lynn failed to have a team competing in the British league system.
I Was Made for Dancin'
"I Was Made for Dancin'" is a song written by Michael Lloyd and performed by Leif Garrett. It reached #4 on the UK Singles Chart, #10 on the Billboard Hot 100, and #38 on the US adult contemporary chart. It also reached #2 in Australia, #10 in Germany, #13 in The Netherlands and #12 in Japan.  The song, produced by Lloyd and arranged by John D'Andrea, was featured on his 1978 album, Feel the Need.

The single ranked #37 on the Billboard Year-End Hot 100 singles of 1979.

Michael Lloyd (music producer)
Michael Jeffrey Lloyd (born November 3, 1948) is an American record producer, arranger, songwriter and musician.  After working with Mike Curb, Kim Fowley and others in the mid-to-late 1960s on musical projects including the West Coast Pop Art Experimental Band, and Steven Spielberg's first short film, Amblin', he became a producer of such teen idol pop stars as the Osmonds, Shaun Cassidy and Leif Garrett in the 1970s.

During the 1980s, Lloyd supervised the music soundtrack for the film Dirty Dancing (1987)—including production of the hit "(I've Had) The Time of My Life"—and worked with Belinda Carlisle, Barry Manilow and many others. By his own account, Lloyd has earned over 100 gold and platinum records.
Saiin (priestess)
Saiin or Itsuki no In (斎院) were female relatives of the Japanese emperor (termed saiō) who served as High Priestesses in Kamo shrines. Saiin princesses were usually elected from royalty (内親王, naishinnō) or princess (女王, joō). In principle, Saiin remained unmarried, but there were exceptions. Some Saiin became consorts of the Emperor, called Nyōgo in Japanese. The Saiin order of priestesses existed throughout the Heian and Kamakura periods.

Saiin is also the name given to the palace where the Saiin Priestesses lived and served the Shinto deities.

Emperor Toba
Emperor Toba (鳥羽天皇, Toba-tennō; February 24, 1103 – July 20, 1156) was the 74th Emperor of Japan, according to the traditional order of succession.

Toba's reign spanned the years from 1107 through 1123.
Govett-Brewster Art Gallery
The Govett-Brewster Art Gallery is a contemporary art museum at New Plymouth, Taranaki, New Zealand. The gallery receives core funding from the New Plymouth District Council. Govett-Brewster is recognised internationally for contemporary art.

Taranaki
Taranaki is a region in the west of New Zealand's North Island. It is named after its main geographical feature, the stratovolcano Mount Taranaki.

The main centre is the city of New Plymouth. The New Plymouth District is one of three in the region and is home to more than 65 per cent of the population of Taranaki. The Stratford District includes the main centres of Stratford, Midhirst, Toko and Whangamōmona. The South Taranaki District includes Hāwera, Manaia, Eltham, and Ōpunake.

Since 2005, Taranaki has used the promotional brand "Like no other".
Brad Walst
Brad Walst (born February 17, 1977) is a Canadian musician. He is the bassist and a founding member of the rock band Three Days Grace, which also includes his younger brother Matt. As of 2022, Three Days Grace has sold over 10 million albums and singles combined worldwide and the band's songs streams surpass two billion.

Explosions (Three Days Grace album)
Explosions (stylized as EXPLOSIONS) is the seventh studio album by the Canadian rock band Three Days Grace. It was released on May 6, 2022, through RCA Records. The album was produced by Howard Benson and by the band themselves. It is the band's third album to feature Matt Walst as lead vocalist, and their last as a quartet, as founding vocalist Adam Gontier rejoined Three Days Grace in 2024, with Walst remaining in the band as well.

Explosions is also Three Days Grace's first album not to be released three years after the preceding album, a tradition set by their first six releases.
René Huguenin Hospital
The René Huguenin Hospital is a renowned teaching hospital in Saint-Cloud, France. Part of the Curie Institute and a teaching hospital of Versailles Saint-Quentin-en-Yvelines University.

Established in 2010, it was named in honour of René Huguenin (1894–1955), oncologist, Professor of Pathology and a former director of the Institut Gustave Roussy.

Saint-Cloud
Saint-Cloud (French pronunciation: [sɛ̃ klu]) is a French commune in the western suburbs of Paris, France, 10 kilometres (6 miles) from the centre of Paris. Like other communes of Hauts-de-Seine such as Marnes-la-Coquette, Neuilly-sur-Seine and Vaucresson, Saint-Cloud is one of France's wealthiest towns, with the second-highest average household income of communities with 10,000 to 50,000 households.

Saint-Cloud is home to the International Bureau of Weights and Measures (BIPM), located in the Parc de Saint-Cloud's Pavillon de Breteuil.
Dulles International Airport station
Washington Dulles International Airport station (commonly Dulles International Airport or Dulles Airport) is a Washington Metro station at Dulles International Airport in Loudoun County, Virginia, U.S., on the Silver Line. After years of delays, the station opened on November 15, 2022. The station was originally planned to be underground but was built as an above-ground station next to daily parking garage 1.

The station is connected to the Main Terminal using the existing pedestrian tunnel which connects the hourly and daily parking lots and parking garage 1 to the baggage claim level of the airport terminal; the tunnel is equipped with moving sidewalks.

Loudoun County, Virginia
Loudoun County (/ˈlaʊdən/) is in the northern part of the Commonwealth of Virginia in the United States. In 2020, the census returned a population of 420,959, making it Virginia's third-most populous county. The county seat is Leesburg. Loudoun County is part of the Washington–Arlington–Alexandria, DC–VA–MD–WV Metropolitan Statistical Area.

As of 2023, Loudoun County had a median household income of $156,821, the highest of any county or county equivalent in the nation.
The Curious Quests of Brigadier Ffellowes
The Curious Quests of Brigadier Ffellowes is a collection of fantasy short stories by American writer Sterling E. Lanier.  The stories take the form of tall tales told in a bar or club, similar to the Jorkens stories of Lord Dunsany.  It was first published in 1986 by Donald M. Grant, Publisher, Inc. in an edition of 1,200 copies; each copy was signed by the author and artist.  The last story is original to this collection.  The other stories first appeared in the magazine Fantasy and Science Fiction.

Sterling E. Lanier
Sterling Edmund Lanier (December 18, 1927 – June 28, 2007) was an American editor, science fiction author and sculptor. He is perhaps known best as the editor who championed the publication of Frank Herbert’s bestselling novel Dune.
Sutrapada
Sutrapada  is a city and a municipality in Gir Somnath district in the Indian state of Gujarat. Sutrapada is located 16 km distance from its District Main City Veraval. It is located 445 km distance from its State Main City Gandhinagar.

Sutrapada Taluka has the 47 numbers of villages as following Alidhra, Ajotha, Amrapur, Anand Para, Barevla, Barula, Bhuva-Timbi, Bhuvavada, Bosan, Chagiya, Dhamlej, Gangetha, Ghantiya, Gorakh Madhi, Harnasa, Kadsala, Kadvar, Kanjotar, Khambha, Khera, Lakhapara, Lati, Lodhva, Mahobatpara, Matana, Moradiya, Morasa, Navagam, Padruka, Pipalva, Pransli, Prashnavda, Rakhej, Rangpur, Sara, Singsar, Solaj, Sundarpara, Sutrapada, Thareli, Thordi, Timbdi, Tobra, Umbri, Vadodra (Jhala), Vansavad, Vavdi (Sutra) and Virodar.

Gir Somnath district
Gir Somnath district is a district of Gujarat, India. Gir somnath district is located on the southern corner of the Kathiawar peninsula with its headquarters at the city of Somnath.

Gir Somnath was split from Junagadh district in August 2013, when seven new districts came into existence in Gujarat.

Veraval, Talala, Sutrapada, Kodinar, Una and Gir-Gadhada are the talukas of Gir Somnath.

The Gir Forest is a home of many wildlife creatures including lions, deer, and monkeys. Asiatic Lions can be only be found in the Gir Forest.
Mafamude
Mafamude is a former civil parish in the municipality of Vila Nova de Gaia, Portugal. In 2013, the parish merged into the new parish Mafamude e Vilar do Paraíso. The population in 2011 was 38,544, in an area of 5.28 km². It is an urban parish in the city of Gaia.

Mafamude e Vilar do Paraíso
Mafamude e Vilar do Paraíso is a civil parish in the municipality of Vila Nova de Gaia, Portugal. It was formed in 2013 by the merger of the former parishes Mafamude and Vilar do Paraíso. The population in 2011 was 52,422, in an area of 10.58 km².
Gościeradz, Kościerzyna County
Gościeradz (Polish: [ɡɔɕˈt͡ɕɛrat͡s]) is a settlement in the administrative district of Gmina Kościerzyna, within Kościerzyna County, Pomeranian Voivodeship, in northern Poland.

For details of the history of the region, see History of Pomerania.

Gmina Kościerzyna
Gmina Kościerzyna is a rural gmina (administrative district) in Kościerzyna County, Pomeranian Voivodeship, in northern Poland. Its seat is the town of Kościerzyna, although the town is not part of the territory of the gmina.

The gmina covers an area of 310.15 square kilometres (119.7 sq mi), and as of 2006 its total population is 13,295.

The gmina contains parts of the protected areas called Kashubian Landscape Park and Wdydze Landscape Park.
Arthur Herbert Procter
Arthur Herbert Procter VC (11 August 1890 – 27 January 1973) was an English recipient of the Victoria Cross, the highest and most prestigious award for gallantry in the face of the enemy that can be awarded to British and Commonwealth forces.

Droylsden
Droylsden is a town in Tameside, Greater Manchester, England, 4 miles (6.4 km) east of Manchester and 2 miles (3.2 km) west of Ashton-under-Lyne, with a population at the 2011 Census of 22,689.

Within the boundaries of the historic county of Lancashire, in the mid-19th century Droylsden grew as a mill town on the Ashton canal. Beginning in the early 1930s, Droylsden's population expanded rapidly as it became a housing overflow area for neighbouring Manchester.

Since 1785, the Fairfield area of Droylsden has been home to a Moravian Church.
BBC Four
BBC Four is a British free-to-air public broadcast television channel owned and operated by the BBC. It was launched on 2 March 2002 and shows a wide variety of programmes including arts, documentaries, music, international film and drama, and current affairs. It is required by its licence to air at least 100 hours of new arts and music programmes, 110 hours of new factual programmes, and to premiere twenty foreign films each year. The channel broadcasts daily from 7:00 pm to 4:00 am, timesharing with CBeebies (which starts at 6:00 am).

Hattie (film)
Hattie is a television film about the life of British comic actress Hattie Jacques, played by Ruth Jones, her marriage to John Le Mesurier (Robert Bathurst) and her affair with their lodger John Schofield (Aidan Turner).  First broadcast in January 2011, it became the most watched programme on BBC Four ever and outdid biopic The Curse of Steptoe, which had held the record since 2008. Jacques' son Robin Le Mesurier later described Jones' performance as "(having) captured my mother perfectly".
The Celian Hill from the Palatine
The Celian Hill from the Palatine is an oil on canvas landscape painting by the British artist Charles Lock Eastlake, from 1823. It depicts a scene of the Celian Hill in Rome as viewed from the Palatine Hill, notable for the ancient walls and Renaissance churches.

Charles Lock Eastlake
Sir Charles Lock Eastlake PRA (17 November 1793 – 24 December 1865) was a British painter, gallery director, collector and writer of the 19th century. After a period as keeper, he was the first director of the National Gallery. From 1850 to 1865 he served as President of the Royal Academy, succeeding Martin Archer Shee in the role.
Phaq'u Quta
Phaq'u Quta (Aymara phaq'u, paqu, p'aqu light brown, reddish, blond, dark chestnut, quta lake, "chestnut coloured lake") is a lake in Bolivia located in the La Paz Department, Pedro Domingo Murillo Province, El Alto Municipality. It is situated at a height of about 4,667 metres (15,312 ft) south of the mountain Chacaltaya, south-east of Milluni Lake and south-west of Qillwani (Khelluani).

El Alto Municipality
El Alto Municipality or El Alto de La Paz Municipality is a municipal section of the Pedro Domingo Murillo Province in the La Paz Department, Bolivia. Its seat is El Alto, the second-largest city in Bolivia.
Rama Rama Krishna Krishna
Rama Rama Krishna Krishna is a 2010 Telugu language action drama film directed by Sriwass of Lakshyam fame and produced by noted producer Dil Raju. It stars Ram Pothineni, Arjun, Priya Anand and Bindu Madhavi in the lead roles, whilst Vineet Kumar, Nassar, Brahmanandam, Pragathi and Sayaji Shinde play pivotal roles with Gracy Singh appears in a cameo appearance. The music was composed by M. M. Keeravani with cinematography by Sekhar V. Joseph and editing by Marthand K. Venkatesh. Upon the film's release on 12 May 2010, it received mixed reviews with critics mainly praising Pothineni's and Sarja's performance. It fared well at the box office.

Bindu Madhavi
Bindu Madhavi (born 14 June 1986) is an Indian actress and model, who works in Tamil and Telugu films and television. After starting her acting career in Telugu cinema, she ventured into Tamil cinema where she was part of several successful productions including Kazhugu (2012), Kedi Billa Killadi Ranga (2013), Tamizhuku En Ondrai Azhuthavum (2015) and Pasanga 2 (2015). In 2022, she emerged as the title winner of the inaugural Bigg Boss Non-Stop and became the first female winner of the Bigg Boss franchise.
Quinault, Washington
Quinault (/kwɪˈnɒlt/ or /kwɪˈnɔːlt/) is an unincorporated community in Grays Harbor County, Washington, United States. Quinault is located on the shores of Lake Quinault on the Olympic Peninsula.

Lake Quinault is the location of Lake Quinault Lodge, which is listed on the National Register of Historic Places.

Grays Harbor County, Washington
Grays Harbor County is a county in the U.S. state of Washington. As of the 2020 census, the population was 75,636. Its county seat is Montesano, and its largest city is Aberdeen. Grays Harbor County is included in the Aberdeen Micropolitan Statistical Area.
Laos at the 1990 Asian Games
Laos participated in the 1990 Asian Games. The 11th Asian Games, also known as XI Asiad, were held from September 22, 1990 to October 7, 1990 in Beijing, China.

This was the 3rd time that the Laos delegation participated. Laos ended the games with 1 bronze medal won by Vongkot Chinda in the men's Lightweight (60 kg) boxing event.

1990 Asian Games
The 1990 Asian Games, also known as the XI Asiad and the 11th Asian Games (第十一届亚洲运动会) or simply Beijing 1990 (北京1990), were held from September 22 to October 7, 1990, in Beijing, China. This was the first Asian Games held in China.

Along with the 1993 East Asian Games, this event served as a precursor to China's further development in the sporting arena, as before the city went on to bid for the 2000 Summer Olympics (losing to Sydney) and eventually won the bids for the 2001 Summer Universiade, the 2008 Summer Olympics and the 2022 Winter Olympics . In a fact with precedent, China dominated the games, grabbing 60% of the gold medals and 34% of the total medal count. China set a new record by becoming the first nation in the history of the Asian Games to cross the 100-gold medal mark and the 300-total medal mark in one edition.

This also marked Taiwan's first participation in the Asian Games as Chinese Taipei.
Aristolochene
Aristolochene is a bicyclic sesquiterpene produced by certain fungi, most notably the cheese mold Penicillium roqueforti. It is biosynthesized from farnesyl pyrophosphate by the enzyme aristolochene synthase and serves as the parent hydrocarbon for a variety of fungal toxins.

Penicillium roqueforti
Penicillium roqueforti is a common saprotrophic fungus in the genus Penicillium. Widespread in nature, it can be isolated from soil, decaying organic matter, and plants.

The major industrial uses of this fungus are the production of blue cheeses, flavouring agents, antifungals, polysaccharides, proteases, and other enzymes. The fungus has been a constituent of Roquefort, Stilton, Danish blue, Cabrales, and other blue cheeses. A few blue cheeses, such as Gorgonzola, are made instead with Penicillium glaucum.