hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Gopakumar–Vafa invariant
In theoretical physics, Rajesh Gopakumar and Cumrun Vafa introduced in a series of papers numerical invariants of Calabi-Yau threefolds, later referred to as the Gopakumar–Vafa invariants. These physically defined invariants represent the number of BPS states on a Calabi–Yau threefold. In the same papers, the authors also derived the following formula which relates the Gromov–Witten invariants and the Gopakumar-Vafa invariants.

,

where

is the class of holomorphic curves with genus g,

is the topological string coupling, mathematically a formal variable,

with  the Kähler parameter of the curve class ,

are the Gromov–Witten invariants of curve class  at genus ,

are the Gopakumar–Vafa invariants of curve class  at genus .

Notably, Gromov-Witten invariants are generally rational numbers while Gopakumar-Vafa invariants are always integers.

Cumrun Vafa
Cumrun or Kamran Vafa (Persian: کامران وفا, Persian pronunciation: [kɒːmˈrɒːn væˈfɒː]; born 1 August 1960) is an Iranian-American theoretical physicist and the Hollis Professor of Mathematicks and Natural Philosophy at Harvard University. In October 2025, Vafa was appointed the Timken University Professor at Harvard, the highest distinction a faculty member can receive at the university.
Hyridella glenelgensis
Hyridella glenelgensis, also known as the Glenelg freshwater mussel or Glenelg River mussel, is a species of freshwater mussel, an aquatic bivalve mollusc in the family Unionidae, the river mussels.

The species is endemic to the Glenelg River, which is close to the border between the states of South Australia and Victoria in south-eastern Australia. They used to be plentiful, when the last assessment was done in 2014 there were only about 1000 individuals left, and as of 2020 there are only a few small populations left. They have been affected by run-off of sediment into the river from land that had been degraded by livestock, and then further damaged by the bushfires over the 2019-2020 summer. In October 2020 the Glenelg Hopkins Catchment Management Authority was given funding of A$180,000 by the federal government towards restoring the habitat of the mussel.

Glenelg River (Victoria)
The Glenelg River, a perennial river of the Glenelg Hopkins catchment, is located in the Australian states of Victoria and South Australia.

The river rises in the Grampian Ranges and flows generally north, then west, then south, for over 350 kilometres (220 mi), making the river the longest river in south-west Victoria and third longest overall. A short stretch of the lower end winds through southeastern South Australia before returning to Victoria to enter Discovery Bay at Nelson. The Glenelg River is a central feature of the Lower Glenelg National Park.

The river was named after Colonial Secretary Baron Glenelg, Charles Grant, by Major Thomas Mitchell in August 1836.

Large amounts of water diverted from the upper reaches of the river for agricultural purposes, including irrigation and town water demands. The estuary is listed under the Heritage Rivers Act, 1992 (VIC) and is a nationally important wetland.
Capela, Sergipe
Capela (Brazilian Portuguese: [kaˈpɛlɐ]; 'Chapel') is a municipality located in the Brazilian state of Sergipe. As of the 2020 IBGE estimate, there were 34,514 people living there and its area is 441 km2.

Sergipe
Sergipe (English: /ˌsɛərˈʒiːpi/, sair-ZHEE-pee ⓘ; Brazilian Portuguese: [sɛʁˈʒipi] ⓘ), officially the State of Sergipe, is a state of Brazil. Located in the Northeast Region along the Atlantic coast of the country, Sergipe is the smallest state in Brazil by geographical area at 21,910 square kilometres (8,460 mi2), larger only than the Federal District. Sergipe borders Bahia to the south and west and Alagoas to the north. Aracaju is the capital and the largest city in the state; the state is divided into 75 municipalities. The state has 1.1% of the Brazilian population and produces 0.6% of the Brazilian GDP.
Ay!
"Ay!" is a song by American rappers Machine Gun Kelly and Lil Wayne. It was released on March 4, 2022 as the third single from the former's sixth studio album Mainstream Sellout (2022). The song was produced by Travis Barker, BazeXX, and SlimXX.

Mainstream Sellout
Mainstream Sellout is the sixth studio album by American musician and singer-songwriter Machine Gun Kelly, released on March 25, 2022, through Bad Boy Records and Interscope Records. It is his second collaborative project with drummer and producer Travis Barker, following 2020's Tickets to My Downfall. The album was initially announced in August 2021 under the title Born with Horns, before being renamed in January 2022.

A continuation of Kelly's transition into pop-punk, Mainstream Sellout was met with mixed reviews from critics. Kelly embarked on the Mainstream Sellout Tour throughout 2022 to promote the album. A deluxe edition with six new tracks, subtitled "Life in Pink Deluxe", was released on June 24, 2022. The album was nominated for Best Rock Album at the 65th Annual Grammy Awards.
Benton Academy
Benton Academy is an independent, co-educational college preparatory school in Benton, Mississippi (United States). It is a member of the Midsouth Association of Independent Schools. The school is located in Yazoo County, Mississippi.  It was founded as a segregation academy in 1969, and still did not enroll a single black student as of 2010.

Benton, Mississippi
Benton is a census-designated place and unincorporated community in Yazoo County, Mississippi. It was first named as a CDP in the 2020 Census which listed a population of 415.

Mississippi Highway 433 passes through the community.
Kaya Scodelario
Kaya Rose Scodelario (born 13 March 1992) is an English-Brazilian actress. She first came to prominence co-starring on E4's Skins (2007–2010, 2013), receiving two Golden Nymph nominations for her portrayal of Effy Stonem. She then took on leading roles in a variety of films, such as Wuthering Heights (2011), the Maze Runner series (2014–2018), Pirates of the Caribbean: Dead Men Tell No Tales (2017), Crawl (2019), and Resident Evil: Welcome to Raccoon City (2021). In 2024, she starred in the action-comedy series The Gentlemen and limited biographical drama series Senna.

Senna (miniseries)
Senna is a Brazilian biographical drama television miniseries created by Vicente Amorim and directed by Amorim and Júlia Rezende, based on the life of racing driver Ayrton Senna, and starring Gabriel Leone as Senna. The series was produced by Brazilian studio Gullane Entretenimento with funding from American studio Netflix, in collaboration with the Senna family. Budgeted at $170 million, it is the most expensive Brazilian television series in history.

The series was released on Netflix on 29 November 2024. It received mixed reviews from critics, who praised Leone's performance, the production design, and the racing scenes, but criticised the character development, historical inaccuracies and perceived bias. It received a nomination for Best Foreign Language Series at the 30th Critics' Choice Awards.
Art Students League of Los Angeles
Art Students League of Los Angeles was a modernist painting school that operated in Los Angeles, California from 1906 to 1953.

Among its students were painters Nicholas P. Brigante, Mabel Alvarez, Herman Cherry, Stanton Macdonald-Wright and Rex Slinkard; illustrators Conrad Buff, Pruett Carter and Paul Sample; architects Harwell Hamilton Harris and Chalfant Head; and artists who worked on Hollywood films, such as Carl Anderson, John Huston and Dorothy Jeakins. The League had a pattern of hiring its own—many of its instructors and most of its directors were alumni. It suspended classes during World War II, and had a short-lived revival after the war.

Pruett Carter
Pruett Carter (9 February 1891 – 1 December 1955) was an American illustrator who taught at the Grand Central School of Art and the Chouinard Art Institute. He illustrated national magazines, and was art director for Atlanta Journal and Good Housekeeping. Carter was inducted into the Society of Illustrator's Hall of Fame in 1988.
Mahates
Mahates is a river town and municipality located in the Bolívar Department, northern Colombia. The town of Mahates was founded on April 17, 1533 by Spanish conquistador Pedro de Heredia.

The municipality of Mahates also covers the village of Palenque de San Basilio, inhabited mainly by Afro-Colombians which are direct descendants of African slaves brought by the Spanish during the Colonization of the Americas and have preserved their ancestral traditions. In 2005 the Palenque de San Basilio village was proclaimed Masterpiece of the Oral and Intangible Heritage of Humanity by UNESCO.

Bolívar Department
Bolívar (Spanish pronunciation: [boˈliβaɾ]) is a department of Colombia. It was named after one of the original nine states of the United States of Colombia. It is located to the north of the country, extending roughly north–south from the Caribbean coast at Cartagena near the mouth of the Magdalena River, then south along the river to a border with Antioquia Department. The departments of Sucre and Córdoba are located to the west, and Atlántico Department to the north and east (most of the border formed by the Canal del Dique). Across the Magdalena River to the east is Magdalena Department. The flag of the department bears a resemblance to the flag of Lithuania.

Its capital is Cartagena de Indias. Other important cities include Magangué, El Carmen de Bolívar and Turbaco.
I.C. Møllerparken
55°28′08″N 8°26′57″E﻿ / ﻿55.468844°N 8.449041°E﻿ / 55.468844; 8.449041

I.C. Møllerparken is a recreational park located in central Esbjerg, Denmark. It covers the space of Esbjerg's first cemetery, belonging to Church of Our Saviour, which since 2005 has been disused for burials.

In 2012 and 2013 the cemetery was renovated for DKK 5,000,000 and transformed into a recreational park which was opened for the public on 21 June 2013. The renovation preserved most tombstones, some of which belongs to notable pioneers in the early history of Esbjerg. The park is named after one of these, namely Jens Christian Møller who was the founder and director of A/S I C Møller the company which built and operated the first cold store warehouse for use by the fish industry.

Despite its official name being I.C. Møllerparken, it is still mostly referred to by locals as Den gamle Kirkegård (The old cemetery).

Church of Our Saviour, Esbjerg
The Church of Our Saviour (Danish: Vor Frelsers Kirke) is a parish church in Esbjerg, Denmark. Completed in 1887 to a design by Axel Møller, it was the first church to be built in the rapidly growing new town.
Lothar Maier
Lothar Maier (born 19 June 1944) is a German politician. Born in Wolfach, Baden-Württemberg, he represents Alternative for Germany (AfD). Lothar Maier has served as a member of the Bundestag from the state of Baden-Württemberg from 2017 to 2021.

Wolfach
Wolfach (German pronunciation: [ˈvɔlfax] ⓘ; Low Alemannic: Wolfä) is a town in the Black Forest and part of the Ortenaukreis in Baden-Württemberg (Germany) and borders the Freudenstadt and Rottweil districts.
Archdiocese of Ranchi
The Ranchi Catholic Metropolitan Archdiocese (Latin: Archidioecesis Metropolitae Ranchiensis) comprises the districts of Ranchi and Lohardaga of Jharkhand state, India. It was established by a decree of the Holy See dated 25 May 1927, when it was separated from the Calcutta Archdiocese to form a new Diocese, with its episcopal seat at Ranchi. In 1953 it was elevated to the status of an archdiocese. The Roman Catholic Archdiocese of Ranchi declares that it "subscribes to ahimsa and satyagraha".

Constant Lievens
Constant Lievens (11 April 1856 – 7 November 1893) was a Belgian (Flemish) Jesuit priest, missionary among the tribal peoples of Central India, particularly the Mundaris, Oraons. He is regarded as the apostle of the Chotanagpur (Jharkhand and Chhattisgarh states in central India).
College Humor (film)
College Humor is a 1933 American pre-Code musical comedy film, directed by Wesley Ruggles, and starring Bing Crosby, Jack Oakie, Richard Arlen, Mary Kornman and Mary Carlisle. Based on a story by Dean Fales, the film is about a college professor and the school's star football player who become rivals for the same beautiful student. Released by Paramount Pictures, the film co-stars George Burns and Gracie Allen.

Gracie Allen
Grace Ethel Cecile Rosalie Allen (July 26, 1895 – August 27, 1964) was an American vaudevillian, singer, actress, and comedian who became internationally famous as the zany partner and comic foil of husband George Burns, her straight man, appearing with him on radio, television and film as the duo Burns and Allen.

For her contributions to the television industry, Allen was honored with a star on the Hollywood Walk of Fame at 6672 Hollywood Boulevard. She and Burns were inducted into the Television Hall of Fame in 1988.

Costar Bea Benaderet said of Allen in 1966, "She was probably one of the greatest actresses of our time."
Carrots and Eggs
Carrots and Eggs is a solo album by Canadian rapper and producer Moka Only. It was released by Urbnet Records on October 28, 2008. It features guest appearances from Sadat X, Bootie Brown and Ishkan. Psy and Buck 65 narrate on the album. In 2009, the album was nominated for Western Canadian Music Awards Rap/Hip-Hop Recording of the Year.

Moka Only
Daniel Denton (born November 14, 1973), better known by his stage names Moka Only and Ron Contour, is a Canadian rapper, singer and record producer. He has released music through Legendary Entertainment, Battle Axe Records and Urbnet Records.
In High Places (1943 film)
In High Places (Italian:Quartieri alti) is a 1943 Italian comedy film directed by Mario Soldati and starring Adriana Benetti, Massimo Serato and Nerio Bernardi. It is based on a play by Jean Anouilh, Le Rendez-vous de Senlis, but also on the novel of the same name (Quartieri alti) by Ercole Patti. The film portrays the rise into high society of an immoral young man. It belongs to the movies of the calligrafismo style.

Calligrafismo
Calligrafismo (Italian: [kalligraˈfizmo]; lit. 'caligraphism') is an Italian style of filmmaking relating to some films made in Italy in the first half of the 1940s and endowed with an expressive complexity that isolates them from the general context. Calligrafismo is in a sharp contrast to Telefoni Bianchi-American style comedies and is rather artistic, highly formalistic, expressive in complexity, and deals mainly with contemporary literary material, above all the pieces of Italian realism from authors such as Corrado Alvaro, Ennio Flaiano, Emilio Cecchi, Francesco Pasinetti, Vitaliano Brancati, Mario Bonfantini, and Umberto Barbaro.
Birregurra
Birregurra, is a town in Colac Otway Shire, Victoria, Australia, approximately 130 kilometres (81 mi) south-west of Melbourne. At the 2021 census, it had a population of 942.

The name comes from an Aboriginal word thought to mean "kangaroo camp". The town is on Gulidjan Country.

Gulidjan
The Gulidjan people (perhaps originally Kolidjon,), also known as the Kolakngat, or Colac tribe, are an Aboriginal Australian tribe whose traditional lands cover the Lake Colac region of the state of Victoria, Australia. They occupied the grasslands, woodlands, volcanic plains and lakes region east of Lake Corangamite, west of the Barwon River and north of the Otway Ranges. Their territory bordered the Wathaurong to the north, Djargurd Wurrung to the west, Girai Wurrung to the south-west, and Gadubanud to the south-east.
Fort Worth University
Fort Worth University was a private Methodist Episcopal Church    in Fort Worth, Texas. It was chartered and opened in 1881 as the Texas Wesleyan College. Its name changed to Fort Worth University in 1889. It merged with the Methodist University of Oklahoma (now Oklahoma City University) in 1911.

William Duncan MacMillan
William Duncan MacMillan (July 24, 1871 – November 14, 1948) was an American mathematician and astronomer on the faculty of the University of Chicago. He published research on the applications of classical mechanics to astronomy, and is noted for pioneering speculations on physical cosmology. For the latter, Helge Kragh noted, "the cosmological model proposed by MacMillan was designed to lend support to a cosmic optimism, which he felt was threatened by the world view of modern physics."
National Swedish War Materials Inspectorate
The National Swedish War Materials Inspectorate (Swedish: Krigsmaterielinspektionen, KMI), was a Swedish government agency established in 1935 and existing until 1 February 1996. It was merged with the strategic export control activities in the Swedish Government Offices and formed National Inspectorate of Strategic Products. KMI was not an independent agency but was originally included in the Ministry of Commerce and Industry and later in the Ministry for Foreign Affairs' Department of Trade.

Ministry of Commerce and Industry (Sweden)
The Ministry of Commerce and Industry (Swedish: Handelsdepartementet) was a ministry in Sweden, established in 1920 when certain matters were taken over from the Ministry of Finance. The ministry was headed by the minister of commerce and industry. The ministry ceased to exist in 1982 and matters were transferred to the Ministry for Foreign Affairs.
Wygoda Sierakowska
Wygoda Sierakowska ([vɨˈɡɔda ɕɛraˈkɔfska]; Kashubian: Wigòda Serakòwskô) is a village in the administrative district of Gmina Sierakowice, within Kartuzy County, Pomeranian Voivodeship, in northern Poland.

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

Gmina Sierakowice
Gmina Sierakowice (Kashubian: Gmina Sërakòjce) is a rural gmina (administrative district) in Kartuzy County, Pomeranian Voivodeship, in northern Poland. Its seat is the village of Sierakowice, which lies approximately 21 kilometres (13 mi) west of Kartuzy and 49 km (30 mi) west of the regional capital Gdańsk.

The gmina covers an area of 182.36 square kilometres (70.4 sq mi), and as of 2006 its total population is 16,570. It belongs to bilingual communes in Poland.

The gmina contains part of the protected area called Kashubian Landscape Park.
Tim Harrell
Timothy Allen Harrell (born 31 October 1975 in Mowbray, Cape Town) is a South African professional baseball player. In the 1998 MLB draft, Harrell was drafted in the 20th round (606th overall) by the Los Angeles Dodgers. He played minor league baseball from 1998 to 2002 with the Yakima Bears, San Bernardino Stampede, Vero Beach Dodgers and Jacksonville Suns.

Mowbray, Cape Town
Mowbray is one of the Southern Suburbs of Cape Town, South Africa and lies on the slopes of Devil's Peak. Mowbray is at a junction of several major Cape Town freeways and has an important multi-modal public transport interchange at Mowbray railway station. Its original name was Driekoppen ("Three heads" in Dutch).
Tiresia
Tiresia is a 2003 French film directed by Bertrand Bonello and written by Bonello and Luca Fazzi. Based on the legend of Tiresias, it tells of a transgender woman who is kidnapped by a man and left to die in the woods. She is then saved by a family and receives the gift of telling the future. The film stars Laurent Lucas, Clara Choveaux, Thiago Telès, and Célia Catalifo.

Tiresia was nominated for the Palme d'Or at the 2003 Cannes Film Festival.

Bertrand Bonello
Bertrand Bonello (French: [bɛʁtʁɑ̃ bɔnɛlo]; born 11 September 1968) is a French film director, screenwriter, producer, composer and actor. Most known for House of Tolerance (2011), Saint Laurent (2014), Nocturama (2016) and The Beast (2023).

His early work has been associated with the New French Extremity, Something Organic (1998), The Pornographer (2001). He also starred in Portrait of the Artist (2015) and Titane (2021). He was nominated for the César Award for Best Director for Saint Laurent, and was named a Knight of the Order of Arts and Letters in France in 2015.
Siejkowo
Siejkowo [ɕɛi̯ˈkɔvɔ] is a settlement in the administrative district of Gmina Ryn, within Giżycko County, Warmian-Masurian Voivodeship, in northern Poland. It lies approximately 4 km (2 mi) south of Ryn, 20 km (12 mi) south-west of Giżycko, and 71 km (44 mi) east of the regional capital Olsztyn.

Gmina Ryn
Gmina Ryn is an urban-rural gmina (administrative district) in Giżycko County, Warmian-Masurian Voivodeship, in northern Poland. Its seat is the town of Ryn, which lies approximately 18 kilometres (11 mi) south-west of Giżycko and 71 km (44 mi) east of the regional capital Olsztyn.

The gmina covers an area of 211.21 square kilometres (81.5 sq mi), and as of 2006 its total population is 5,986 (out of which the population of Ryn amounts to 3,006, and the population of the rural part of the gmina is 2,980).
Miss Alabama
The Miss Alabama competition is the pageant that selects the representative for the state of Alabama in the annual Miss America Competition.

Alabama has won four Miss America titles: Abbie Stockard in 2025, Deidre Downs in 2005, Heather Whitestone (the first deaf woman to win the Miss America crown) in 1995, and Yolande Betbeze in 1951. Betbeze refused to pose in a swimsuit, causing swimsuit sponsor Catalina Swimwear to pull out and ultimately start the Miss USA pageant.

Emma Terry of Leeds was crowned Miss Alabama 2025 on June 28, 2025, at Samford University's Wright Center in Birmingham, Alabama. She competed for the title of Miss America 2026 in September 2025, placing 4th runner-up.

Leeds, Alabama
Leeds is a tricounty municipality in Jefferson, St. Clair, and Shelby counties in the U.S. state of Alabama; it is an eastern suburb of Birmingham. As of the 2020 census, its population was 12,324.

Leeds was founded in 1877, during the final years of the post-Civil War Reconstruction Era. It housed the workers and their families of Lehigh, a Portland cement manufacturing plant.

Leeds is nicknamed "The City of Valor" because of three Congressional Medal of Honor recipients from World War II and the Korean War who called Leeds home: Alford McLaughlin, William Lawley and Henry "Red" Erwin.
Cascadia County Park
Cascadia County Park (formerly Cascadia State Park) is a park in the U.S. state of Oregon near Sweet Home along the South Santiam River at Cascadia. The park includes a day use area, campsites, hiking trails and 150 foot Lower Soda Creek Falls.

Sweet Home, Oregon
Sweet Home is a city in Linn County, Oregon, United States, with a population of 9,828 at the 2020 census. Sweet Home is referred to as the 'Gateway to the Santiam Playground' due to its proximity to nearby lakes, rivers and the Cascade Mountains.
Forensic polymer engineering
Forensic polymer engineering is the study of failure in polymeric products. The topic includes the fracture of plastic products, or any other reason why such a product fails in service, or fails to meet its specification. The subject focuses on the material evidence from crime or accident scenes, seeking defects in those materials that might explain why an accident occurred, or the source of a specific material to identify a criminal. Many analytical methods used for polymer identification may be used in investigations, the exact set being determined by the nature of the polymer in question, be it thermoset, thermoplastic, elastomeric or composite in nature.

One aspect is the analysis of trace evidence such as skid marks on exposed surfaces, where contact between dissimilar materials leaves material traces of one left on the other. Provided the traces can be analyzed successfully, then an accident or crime can often be reconstructed.

Skid mark
A skid mark is the visible mark left by any solid which moves against another, and is an important aspect of trace evidence analysis in forensic science and forensic engineering. Skid marks caused by tires on roads occur when a vehicle wheel stops rolling and slides or spins on the surface of the road. Skid marks can be analyzed to find the maximum and minimum vehicle speed prior to an impact or incident. Skidding can also occur on black ice or diesel deposits on the road and may not leave a mark at all.