hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Cayley–Bacharach theorem
In mathematics, the Cayley–Bacharach theorem is a statement about cubic curves (plane curves of degree three) in the projective plane P2. The original form states:

Assume that two cubics C1 and C2 in the projective plane meet in nine (different) points, as they do in general over an algebraically closed field. Then every cubic that passes through any eight of the points also passes through the ninth point.

A more intrinsic form of the Cayley–Bacharach theorem reads as follows:

Every cubic curve C over an algebraically closed field that passes through a given set of eight points P1, ..., P8 also passes through (counting multiplicities) a ninth point P9 which depends only on P1, ..., P8.

A related result on conics was first proved by the French geometer Michel Chasles and later generalized to cubics by Arthur Cayley and Isaak Bacharach.

Algebraically closed field
In mathematics, a field F is algebraically closed if every non-constant polynomial with coefficients in F has a root in F. In other words, a field is algebraically closed if the fundamental theorem of algebra holds for it.  For example, the field of real numbers is not algebraically closed because the polynomial  has no real roots, while the field of complex numbers is algebraically closed.

Every field  is contained in an algebraically closed field  and the roots in  of the polynomials with coefficients in  form an algebraically closed field called an algebraic closure of  Given two algebraic closures of  there are isomorphisms between them that fix the elements of

Algebraically closed fields appear in the following chain of class inclusions:

rngs ⊃ rings ⊃ commutative rings ⊃  integral domains ⊃ integrally closed domains ⊃ GCD domains ⊃ unique factorization domains ⊃ principal ideal domains ⊃ euclidean domains ⊃ fields ⊃ algebraically closed fields
UAAP 3x3 basketball championships
The University Athletic Association of the Philippines (UAAP) holds its two-day 3x3 basketball tournaments on first week of March. It was inaugurated as a demonstration event for seniors' division in UAAP Season 80 in 2018.

At the opening press conference of UAAP Season 82 in 2019, the UAAP Board announced that 3x3 basketball would become an official sport as of the said season for both men and women.

UAAP Season 80
UAAP Season 80 was the 2017–18 athletic year of the University Athletic Association of the Philippines (UAAP) (UAAP). This season was hosted by the Far Eastern University.

The eight member universities of the UAAP competed in the league's 28 events from 15 sports to vie for the overall championship. This season's sports events included the inaugural 3-on-3 basketball as a demonstration sport held at FEU Manila.
BSD/OS
BSD/OS is a proprietary Unix operating system first released in 1993 as BSD/386. It was originally developed and sold by Berkeley Software Design, Inc. (BSDi) and designed to be a Unix for 386-based PCs. It was built off the Net/2 distribution of BSD, to which the developers had previously contributed.

Eventually the operating system was also ported to support PowerPC and SPARC architectures, and consequently was retitled to BSD/OS as of version 2.0 (1995). In 2001, BSDi sold the rights of the OS to Wind River Systems who developed and released version 5.0 in 2003 before discontinuing the product.

Wind River Systems
Wind River Systems, Inc., also known as Wind River (trademarked as Wndrvr), is an Alameda, California–based company, subsidiary of Aptiv PLC. The company develops embedded system and cloud software consisting of real-time operating systems software, industry-specific software, simulation technology, development tools and middleware.
Anujan Rajendram
Anujan Rajendram (Sinhala: අනුජන් රාජේන්ද්‍රම්, Tamil: அனுஜன் ராஜேந்திரம்; born 11 May 2000) is a footballer who plays as a midfielder or full-back for Oppsal Fotball in the 3. divisjon. Born in Norway, he represents the Sri Lanka at international level.

Norwegian Third Division
The Norwegian Third Division, also called Norsk Tipping-Ligaen, is the fourth highest division of the men's football league in Norway. Like the rest of the Norwegian football league system, the season runs from spring to autumn, running approximately from April to October. After the 2010 season, the league was reorganised, reducing the number of teams to 164 and halving the number of parallel sections from 24 to 12. After the 2016 season, the league was again reorganised, reducing the number of teams from 164 to 84, and halved the number of groups from twelve to six.

All six group winners promote to 2. divisjon, while the bottom four in all groups are relegated to 4. divisjon.
Weston Mitchell
Weston Mitchell (December 8, 1890 – July 1962) was an American basketball coach. He was the head basketball coach for the Minnesota Golden Gophers for one lone season. in 1944–45. Mitchell replaced Carl Nordly as coach after Nordly had steered the Gophers to a 17–23 record over two seasons after replacing long-time coach Dave MacMillan. McMillan came back to coach the Gophers again for the 1945–46 season. The Gophers went 8–13 during Mitchell's one-year tenure , with a 4–8 record in the Big Ten Conference, which placed them in a tie for sixth place. Mitchell graduated from Wisconsin-Stout in 1913.

Before becoming a coach for the Gophers, Mitchell had been the head coach at Central High School in Minneapolis, where one of his players was John Kundla, the Hall of Fame coach, who led the Minneapolis Lakers to five National Basketball Association (NBA) titles and was later the Minnesota Gophers head coach.

John Kundla
John Albert Kundla (July 3, 1916 – July 23, 2017) was an American college and professional basketball coach.  He was the first head coach for the Minneapolis Lakers of the National Basketball Association (NBA) and its predecessors, the Basketball Association of America (BAA) and the National Basketball League (NBL), serving 12 seasons, from 1947 to 1959.  His teams won six league championships, one in the NBL, one in the BAA, and four in the NBA.  Kundla was the head basketball coach at the University of St. Thomas in Saint Paul for one season in 1946–47, and at the University of Minnesota for ten seasons, from 1959 to 1968.  He was inducted into the Naismith Memorial Basketball Hall of Fame in 1995 and the College Basketball Hall of Fame in 2006.
Gina Glocksen
Gina Glocksen (born July 4, 1984) is an American singer, who was the ninth-place finisher on the sixth season of American Idol. She was eliminated on April 4, 2007. She previously appeared in season 5. Glocksen is the first among the few contestants to have been eliminated in Hollywood round in an earlier season and then place in a later one.

American Idol season 5
The fifth season of American Idol began on January 17, 2006, and concluded on May 24, 2006. Paula Abdul, Simon Cowell, and Randy Jackson returned as judges, while Ryan Seacrest returned as host. Taylor Hicks was named the winner, while Katharine McPhee was the runner-up. 18 contestants (including all of the top 10 and a few semifinalists) got record deals – nine of them with major labels.
Carmen de Bolívar (song)
"Carmen de Bolívar" is a Colombian song written and performed by Lucho Bermúdez. The song, released in 1958, is about Bermudez's home town, El Carmen de Bolívar in Colombia's Bolívar Department.

Viva Music Colombia rated the song No. 14 on its list of the 100 most important Colombian songs of all time. In its list of the 50 best Colombian songs of all time, El Tiempo, Colombia's most widely circulated newspaper, ranked the version of the song by Lucho Bermudez and his orchestra at No. 20.

Lucho Bermúdez
Luis Eduardo Bermúdez Acosta (January 25, 1912 – April 23, 1994) better known as Lucho Bermúdez, was a Colombian musician, composer, arranger, director and performer. He is considered to be one of the most important performers and composers of Colombian music in the 20th century. He adapted traditional Colombian musical styles such as cumbia and porro into modern rhythms that would become symbols of national identity from the 1930s. His work had a substantial impact around Latin America. His musical work was influenced by the porros and fandangos of the Sabana de Bolívar and the coastal towns of northern Colombia.
2001 Colortex Budapest Grand Prix – Doubles
Lubomira Bacheva and Cristina Torrens Valero were the defending champions but lost in the first round to Laurence Courtois and Elena Tatarkova.

Tathiana Garbin and Janette Husárová won in the final 6–1, 6–3 against Zsófia Gubacsi and Dragana Zarić.

Janette Husárová
Janette Husárová (Slovak pronunciation: [ˈɦusaːrɔʋaː]; born 4 June 1974) is a Slovak former tennis player.

On 13 January 2003, she reached her best singles ranking of world No. 31. On 21 April 2003, she peaked at No. 3 in the doubles rankings.

She won the WTA Tour Championships women's doubles title in 2002, partnering with Elena Dementieva. With Dementieva, she reached the final of US Open doubles competition in the same year, losing to Virginia Ruano Pascual and Paola Suárez.

Playing for Slovakia Fed Cup team, Husárová has a win–loss record of 17–12.
Together with Daniela Hantuchová, she was a member of the Slovak team winning the Fed Cup in 2002.

In her career, Husárová won 25 doubles titles on the WTA Tour, including the season-ending WTA Championships and three Tier I tournaments (Berlin, Moscow (2002) and Tokyo (2005)), as well as four singles and 16 doubles titles on the ITF Circuit.

In February 2016, Husárová announced her retirement from professional tennis.
American lobster
The American lobster (Homarus americanus) is a species of lobster found on the Atlantic coast of North America, chiefly from Labrador to New Jersey. It is also known as Atlantic lobster, Canadian lobster, true lobster, northern lobster, Canadian Reds, or Maine lobster. It can reach a body length of 64 cm (25 in), and a mass of over 20 kilograms (44 lb), making it not only the heaviest crustacean in the world, but also the heaviest of all living arthropod species. Its closest relative is the European lobster Homarus gammarus, which can be distinguished by its coloration and the lack of spines on the underside of the rostrum. American lobsters are usually bluish green to brown with red spines, but several color variations have been observed.

Rostrum (anatomy)
Rostrum (from Latin rostrum, meaning beak) is a term used in anatomy for several kinds of hard, beak-like structures projecting out from the head or mouth of an animal. Despite some visual similarity, many of these are phylogenetically unrelated structures in widely varying species.
Alfie Alfandy
Alfie Alfandy (born 3 March 1990) is an Indonesian actor and musician who is known for his various roles in Islamic films and television series, including his role as Jefri Al Buchori in Hijrah Cinta (2014) which earned him a nomination for best lead actor in 2014 Maya Awards and 2015 Indonesian Movie Awards. As a musician, Alfie has released several singles and a mini-album. Outside of acting, Alfie founded a motorcycling and dawah club called Bikers Dakwah.

Dawah
Daʿwah (Arabic: دعوة, Arabic: [ˈdaʕwah], "invitation", also spelt dâvah, daawa, dawah, daawah or dakwah) is the act of proselytizing people to Islam. The plural is daʿwāt (دَعْوات) or daʿawāt (دَعَوات). Preachers who engage in dawah are known as da'i.
1979 All-Ireland Senior Football Championship final
The 1979 All-Ireland Senior Football Championship final was the 92nd All-Ireland Final and the deciding match of the 1979 All-Ireland Senior Football Championship, an inter-county Gaelic football tournament for the top teams in Ireland.

This was one of six All-Ireland SFC finals contested by both Dublin and Kerry between 1974 and 1986, a period when one of either team always contested the decider.

1986 All-Ireland Senior Football Championship final
The 1986 All-Ireland Senior Football Championship final was the 99th All-Ireland Final and the deciding match of the 1986 All-Ireland Senior Football Championship, an inter-county Gaelic football tournament for the top teams in Ireland.

This was one of the 13 consecutive All-Ireland SFC finals contested by either Dublin or Kerry between 1974 and 1986, a period when one of either team always contested the decider.
Kamakshi Amman Temple
The Kamakshi Amman Temple, also known as Kamakoti Nayaki Kovil, is a Hindu temple dedicated to the goddess Kamakshi, one of the highest form of Parvati. She is the highest aspect Adi Parashakti, the supreme goddess in Shaktism. The temple is located in the historic city of Kanchipuram, near Chennai, India.

It may have been founded in the 5th-8th century CE by the Pallava kings, whose capital was in Kanchipuram. It may also have been built by the Cholas in the 14th century, and legend also says it was built as recent as 1783.

The temple is one of the most important centers of Shaktism in the state of Tamil Nadu. The temple is dedicated mainly to Kamakshi, but also has a shrine for Vishnu, in his form of Varaha. Kamakshi is worshipped in the shrine in five forms.

The temple is also the center for the Kanchi Kamakoti Peetham.

Mahadevi
Mahadevi (Sanskrit: महादेवी, IAST: Mahādevī), also referred to as Devi, Mahamaya and Adi Parashakti, is the supreme goddess in Hinduism. According to the goddess-centric sect Shaktism, all Hindu gods and goddesses are regarded as manifestations of this great goddess, who is considered to be the ultimate reality or Para Brahman.

Mahadevi is mentioned as the Mulaprakriti (Primordial Goddess) 
in Shakta texts, having five primary forms—Parvati, Lakshmi, Sarasvati, Gayatri and Radha—collectively referred to as Panchaprakriti. Besides these, Goddess Tripura Sundari is often identified with the supreme goddess Mahadevi in Shaktism. Shaktas also worship her as Durga, whilst acknowledging her to have other forms. Author Helen T. Boursier says: "In Hindu philosophy, both Lakshmi (primary goddess in Vaishnavism) and Parvati (primary goddess of Shaivism) are identified as manifestations of this great goddess—Mahadevi—and the Shakti or divine power".
What Would Diplo Do?
What Would Diplo Do? is an American comedy television series created by Brandon Dermer and James Van Der Beek. The series stars James Van Der Beek, Dillon Francis, Dora Madison Burge, Jamar Malachi Neighbors, Bobby Lee and H. Michael Croner. The series premiered on Viceland on August 3, 2017.

Bobby Lee
Robert Young Lee Jr. (born September 17, 1971) is an American stand-up comedian, actor, and podcaster. Lee co-hosts the podcasts Bad Friends with Andrew Santino and TigerBelly with Khalyla Kuhn.

From 2001 to 2009, Lee was a cast member on MADtv, and he co-starred in the ABC single-camera sitcom series Splitting Up Together alongside Jenna Fischer and Oliver Hudson between 2018 and 2019. Lee has also appeared in the films Harold & Kumar Go to White Castle (2004), Pineapple Express (2008), and The Dictator (2012). He had a guest appearance as the cynical, burned-out Dr. Kang on FX on Hulu's TV comedy series Reservation Dogs.
Daniel Scioli
Daniel Osvaldo Scioli (Spanish: [daˈnjel ˈsjoli] ⓘ or [ˈʃoli], Italian: [ˈʃɔːli]; born 13 January 1957) is an Argentine politician, businessman, and former sportsman. He is serving as the Secretary of Tourism, Environment and Sports since January 2024. He was Vice President of Argentina from 2003 to 2007 and Governor of Buenos Aires Province from 2007 to 2015. From September 2022 to January 2024 and previously from June 2020 to June 2022, he was Argentina's ambassador to Brazil.

Scioli served two tenures as president of the Justicialist Party. He was the candidate to the presidency for the Front for Victory ticket in the 2015 Argentine general election, and lost to Mauricio Macri in a runoff election. From June to September 2022, he briefly served as Minister of Production in the cabinet of Alberto Fernández.

Front for Victory
The Front for Victory (Spanish: Frente para la Victoria, FPV) was a left-wing Peronist electoral alliance in Argentina, and is formally a faction of the Justicialist Party. Former presidents Néstor Kirchner and Cristina Fernández de Kirchner were elected as representatives of this party.

The Front for Victory is ideologically identified with what has been called Kirchnerism. Legally, the Front should not be confused with the Victory Party, which is just one of the political parties in it.
Ike Anigbogu
Christopher Ike Anigbogu (born October 17, 1998) is an American professional basketball player for Vanoli Cremona of the Italian Lega Basket Serie A (LBA). He played college basketball for one season with the UCLA Bruins. As a freshman, he was a key reserve for a Bruins squad that advanced to the Sweet 16 of the NCAA tournament. After the season, Anigbogu was selected by the Indiana Pacers in the second round of the 2017 NBA draft with the 47th overall pick. He played two seasons for the Pacers.

Guerino Vanoli Basket
Guerino Vanoli Basket, also known as Vanoli Cremona, is a professional basketball team of the city of Cremona. The team played in the LBA, the top Italian basketball league, for 12 years until 2021. 
From 1999 to 2011 the society had the name of Gruppo Triboldi Basket. For past club sponsorship names, see the list below.
KYES (AM)
KYES (1180 AM) is an American radio station licensed to serve the community of Rockville, Minnesota. The station is owned by Gabriel Media. The station's transmitter is located near Kimball, Minnesota, off MN 15. It can be heard throughout most of central Minnesota throughout the day with fringe coverage in the Twin Cities.

Station founder Andy Hilger began his radio career in 1958 as a disc jockey for WJON. Hilger later became owner and manager of WJON and three other stations in Central Minnesota. Hilger died in 2013.

Due to budgetary constraints, KYES shares radio studio space with KKJM ("Spirit 92.9") in Sauk Rapids, Minnesota—a radio station Hilger had donated to the Diocese of St. Cloud in 2000.

KKJM
KKJM "Spirit 92.9" is a radio station in St. Cloud, Minnesota airing a contemporary Christian music format. The station is owned by Gabriel Communications. Its main competitors are KCFB, Air 1 on 89.5 FM, and KTIS-FM in Minneapolis, Minnesota.
Epichloë sylvatica
Epichloë sylvatica is a haploid sexual species in the fungal genus Epichloë.

A systemic and seed-transmissible grass symbiont first described in 1998, Epichloë sylvatica forms a clade within the Epichloë typhina complex.

Epichloë sylvatica is found from Europe to Asia, where it has been identified in association with two grass species, Brachypodium sylvaticum and Hordelymus europaeus.

Hordelymus
Hordelymus is a genus of European, north African, and southwest Asian plants in the grass family.

The only known species is Hordelymus europaeus, native to Europe (from Sweden + Ireland to Spain, Italy, and Russia) as well as North Africa (Algeria + Morocco) and southwestern Asia (Turkey + Caucasus). Wood-barley is a common name for H. europaeus.

formerly included

see Taeniatherum

Hordelymus asper - Taeniatherum caput-medusae

Hordelymus caput-medusae - Taeniatherum caput-medusae
Lake Condon
Lake Condon was a temporary lake in the Pacific Northwest region of North America, formed periodically by the Missoula Floods from 15,000 to 13,000 BC. It was named after Oregon geologist Thomas Condon.

The restricted flow of waters from cataclysmic floods from Glacial Lake Missoula, and pluvial Lake Bonneville through the constriction of the Wallula Gap in the Horse Heaven Hills flowed into south-central Washington and north-central Oregon, and were backed up by the Columbia River Gorge, forming Lake Condon.  The water remained for a period of 5–7 days before the flood waters drained through the Columbia River Gorge. Lake Condon reached an elevation of about 1200 feet above sea level (today's sea level) before subsiding.

Lake Condon also flooded the Umatilla and John Day river valleys.

Missoula floods
The Missoula floods (also known as the Spokane floods, the Bretz floods, or Bretz's floods) were a series of cataclysmic glacial lake outburst floods that swept periodically across the area that would become eastern Washington, northern Idaho and northern Oregon, and down the Columbia River Gorge at the end of the last ice age. These floods were the result of periodic sudden ruptures of the ice dam on the Clark Fork River that created Glacial Lake Missoula. After each ice dam rupture, the waters of the lake would rush down the Clark Fork and the Columbia River, flooding much of eastern Washington and the Willamette Valley in western Oregon. After the lake drained, the ice would reform, creating glacial Lake Missoula again.
Alexander H. Rice
Alexander Hamilton Rice (August 30, 1818 – July 22, 1895) was an American politician and businessman from Massachusetts.  He served as Mayor of Boston from 1856 to 1857, a U.S. Congressman during the American Civil War, and as the 30th Governor of Massachusetts from 1876 to 1879.  He was part owner and president of Rice-Kendall, one of the nation's largest paper products distributors.

Educated at Union College, Rice was for many years involved in the paper business, and entered Boston politics in 1853.  As mayor, he helped broker an agreement that began development of its Back Bay area.  His Congressional service included the introduction of the failed Crittenden Compromise, oversight of naval affairs during the Civil War, and resistance to Radical Republican actions.  As governor, he promoted social reform legislation and reductions in working hours.

Crittenden Compromise
The Crittenden Compromise was an unsuccessful proposal to permanently enshrine slavery in the United States Constitution, and thereby make it unconstitutional for future congresses to end slavery. It was introduced by United States Senator John J. Crittenden (Constitutional Unionist of Kentucky) on December 18, 1860. It aimed to resolve the secession crisis of 1860–1861 that eventually led to the American Civil War by addressing the fears and grievances of Southern pro-slavery factions, and by quashing anti-slavery activities. The Crittenden Compromise is not to be confused with the Crittenden–Johnson Resolution, which provided that the Union would take no actions against slavery.
Otto Didrik Schack, 7th Count of Schackenborg
Otto Didrik Schack, Count of Schackenborg (3 October 1810 – 26 July 1856) was a Danish aristocrat. He was the seventh holder of the Countship of Schackenborg from 1814 to 1856 with the title of enfeoffed count (Danish: lensgreve).

Aristocracy (class)
The aristocracy (from Greek ἀριστοκρατία aristokratía, "rule of the best"; Latin: aristocratia) is historically associated with a "hereditary" or a "ruling" social class. In many states, the aristocracy included the upper class with hereditary rank and titles. They are usually below only the monarch of a country or nation in its social hierarchy.
The Verdict (2025 film)
The Verdict is a 2025 Indian Tamil-language courtroom drama film written and directed by debutant Krishna Sankar. Prakash Mohandas produced the film under his Agni Entertainment banner, while the film stars Suhasini Maniratnam, Varalaxmi Sarathkumar and Sruthi Hariharan in the lead roles, alongside Vidyullekha Raman and Prakash Mohandas in supporting roles.

The Verdict released in theatres on 30 May 2025.

Sruthi Hariharan
Sruthi Hariharan (born 2 February 1989) is an Indian actress who primarily appears in Kannada and Tamil films. Sruthi is a recipient of a National Film Award, three Filmfare Awards South and one Karnataka State Film Awards.

Sruthi made her acting debut in the Malayalam film, Cinema Company (2012). She had her breakthrough with her Kannada debut Lucia (2013). Sruthi won the Karnataka State Film Award for Best Actress and Filmfare Award for Best Actress – Kannada for her performance in Beautiful Manasugalu (2017). The 2018 film Nathicharami, won her the National Film Award – Special Mention. Sruthi established herself as a leading actress in Kannada cinema with Godhi Banna Sadharana Mykattu (2016), Urvi (2016), Upendra Matte Baa (2017) and Head Bush (2022).