hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Green's function for the three-variable Laplace equation
In physics, the Green's function (or fundamental solution) for the Laplacian (or Laplace operator) in three variables is used to describe the response of a particular type of physical system to a point source. In particular, this Green's function arises in systems that can be described by Poisson's equation, a partial differential equation (PDE) of the form

where  is the Laplace operator in ,  is the source term of the system, and  is the solution to the equation. Because  is a linear differential operator, the solution  to a general system of this type can be written as an integral over a distribution of source given by :

where the Green's function for Laplacian in three variables  describes the response of the system at the point  to a point source located at :

and the point source is given by , the Dirac delta function.

Dirac delta function
In mathematical analysis, the Dirac delta function (or  distribution), also known as the unit impulse, is a generalized function on the real numbers, whose value is zero everywhere except at zero, and whose integral over the entire real line is equal to one. Thus it can be represented heuristically as

such that

Since there is no function having this property, modelling the delta "function" rigorously involves the use of limits or, as is common in mathematics, measure theory and the theory of distributions.

The delta function is named after physicist Paul Dirac, and has been applied routinely in physics and engineering to model point masses and concentrated loads. It is called the delta function because it is a continuous analogue of the Kronecker delta function. The mathematical rigor of the delta function was disputed until Laurent Schwartz developed the theory of distributions, where it is defined as a linear form acting on functions.
Dalton E. Gray
Dalton E. Gray (born June 4, 1997) is an American actor best known for his role as Mike in American Horror Story: Freak Show and Jack Colson for two seasons on HBO's Treme. In 2012, Dalton made his film debut in the WWE Studios produced thriller film No One Lives. In 2014, Dalton played a young Harry Dunn, Jeff Daniels' character, in Dumb and Dumber To. He also appeared in Revolution.

WWE Studios
WWE Studios Inc. (formerly known as WWE Films) is an American film studio owned by the professional wrestling promotion WWE, a division of TKO Group Holdings, a majority-owned subsidiary of Endeavor Group Holdings. Founded on July 31, 2002, WWE Studios movies frequently mix well-known actors and actresses in lead roles with WWE wrestlers, and teams with existing production and distribution companies resulting in lower cost for both parties.
Dinas Rhondda
Dinas is a village near Tonypandy in the county borough of Rhondda Cynon Taf, Wales.  Dinas is often referred to as Dinas Rhondda to avoid confusion with Dinas Powys in the Vale of Glamorgan. The word dinas in Modern Welsh means "city", but here (as in Old and Middle Welsh more generally) it means "hill fort".

Tonypandy
Tonypandy (/tɒnəˈpændi/, Welsh pronunciation: [tɔnəˈpandi]) is a town, community and electoral ward located in the county borough of Rhondda Cynon Taf, within the historic county boundaries of Glamorgan, Wales, lying in the Rhondda Fawr Valley. A former industrial coal mining town, the town was the scene of the 1910 Tonypandy riots.

The community boundaries of Tonypandy are drawn relatively tightly around the central part of the urban area. According to the 2011 UK Census, the population of the community was 3,750. The Office for National Statistics defines a larger "Tonypandy built-up area" covering much of the Rhondda Fawr valley and the lower Rhondda Fach valley, which had a population of 62,545 in 2011. They also define a smaller "Tonypandy built-up area sub division" which had a population of 17,789.

The town is served by Tonypandy railway station on the Rhondda Line.
Avinguda de Blasco Ibañez
The Avinguda de Blasco Ibañez is an avenue in the Spanish city of Valencia named after Spanish writer and journalist Vicente Blasco Ibáñez (1867 – 1928), who was originally from Valencia. The avenue leads from the Jardins del Real in the west to the Poblats Marítims in the east. Plans to extend the avenue to the sea have existed for a long time, but have not been realized.

Vicente Blasco Ibáñez
Vicente Blasco Ibáñez (Spanish pronunciation: [biˈθente ˈβlaskojˈβaɲeθ], 29 January 1867 – 28 January 1928) was a journalist, politician, and a bestselling Spanish novelist in various genres whose most widespread and lasting fame in the English-speaking world is from Hollywood films that were adapted from his works.
Mayflower: The Pilgrims' Adventure
Mayflower: The Pilgrims' Adventure is a 1979 American made-for-television historical adventure film dramatizing the Pilgrims' voyage from Plymouth, England to Cape Cod in New England aboard the Mayflower in 1620. The film was directed by George Schaefer and stars Anthony Hopkins, Richard Crenna, and Jenny Agutter.

The story focuses on romantic interactions between the passengers and crew, with People describing it as "plotted like a pre-shuffleboard Love Boat".

The film was first broadcast by CBS on November 21, 1979.

Richard Crenna
Richard Donald Crenna (November 30, 1926 – January 17, 2003) was an American actor and television director.

Crenna starred in such motion pictures as Made in Paris (1966), Marooned (1969), Breakheart Pass (1975), The Evil (1978), The Flamingo Kid (1984), Summer Rental (1985) and Sabrina (1995). His first success came on radio in 1948 as high school student Walter Denton co-starring with Eve Arden and Gale Gordon in the series Our Miss Brooks. Crenna continued with the comedy in its 1952 move into television. He also starred as Luke McCoy in the television series The Real McCoys (1957–1963). In 1985, he won the Primetime Emmy Award for Outstanding Lead Actor in a Limited or Anthology Series or Movie for his portrayal of the title role in The Rape of Richard Beck (1985). He gained further notoriety for his role as Colonel Samuel Richard "Sam" Trautman in the first three Rambo films (1982–1988).
Erlands Point, Washington
Erlands Point is an unincorporated community and census-designated place (CDP) in Kitsap County, Washington, United States. As of the 2020 census, it had a population of 916. Prior to 2020, it was part of the Erlands Point-Kitsap Lake CDP.

Erlands Point is in the center of the county, on a point of land extending into Dyes Inlet from the west. Chico Bay, an arm of Dyes Inlet, borders the point to the north, and Ostrich Bay, another arm, borders the point to the east and south. The CDP is bordered by the city of Bremerton to the south, by the CDP of Kitsap Lake to the southwest, and by Chico to the northwest. To the northeast, across Dyes Inlet, is Tracyton, and to the southeast, across Ostrich Bay, is Rocky Point.

State Route 3 forms the western boundary of the Erlands Point CDP; the highway leads south into the western part of Bremerton and north 12 miles (19 km) to Poulsbo. Downtown Bremerton is 6 miles (10 km) southeast of Erlands Point.

Tracyton, Washington
Tracyton is a census-designated place (CDP) in Kitsap County, Washington, United States. Its population was 5,967 at the 2020 census. It was named for 19th century Secretary of the Navy Benjamin F. Tracy.
2026 World Lacrosse Women's Championship
The 2026 World Lacrosse Women's Championship, the 12th Women's World Championship is the preeminent international women's lacrosse tournament. The tournament will be hosted in Japan.

This will be the second time, Japan will host the tournament with the first being the 1997 Women's Lacrosse World Cup.

A new format is adopted for this championship with 16 national teams taking part in the main tournament. A Division II will also be held with 16 additional teams.

1997 Women's Lacrosse World Cup
The 1997 Women's Lacrosse World Cup was the fifth Women's Lacrosse World Cup and was played in Edogawa, Tokyo, Japan from 27 April – 4 May 1997. The United States defeated Australia in the final to win the tournament.
Richard and Judy
Richard and Judy is a term used to refer to married British television presenters Richard Madeley and Judy Finnigan. They co-hosted the ITV programme This Morning from 1988 to 2001 and later presented the chat show Richard & Judy from 2001 to 2009.

This Morning (TV programme)
This Morning is a British daytime magazine programme that is broadcast on ITV. It debuted on 3 October 1988 and is broadcast live every weekday from 10:00 am to 12:30 pm across the United Kingdom, and in the Republic of Ireland by Virgin Media One. The programme features a variety of news, showbiz, fashion, health and beauty, lifestyle, home and garden, food, technology, live phone-ins, and competitions.

The show was originally presented by husband and wife duo Richard Madeley and Judy Finnigan for more than a decade after its launch. It is currently presented by Ben Shephard and Cat Deeley from Monday to Thursday with Dermot O'Leary and Alison Hammond presenting on Fridays.

The daytime programme has aired on ITV for over 35 years, making it one of the longest-running daytime programmes on British television. It won the National Television Award for Best Daytime/Live Magazine Show for 12 years running, from 2011 to 2022.
The Projectionist (2026 film)
The Projectionist is a 2026 American crime thriller film written and directed by Alexandre Rockwell. It stars Vondie Curtis-Hall, Karyn Parsons, Kasi Lemmons, David Proval, Kevin Corrigan, and Michael Buscemi.

The film premiered as the opening film of the Slamdance Film Festival on February 19, 2026.

Karyn Parsons
Karyn Parsons Rockwell (born October 8, 1966) is an American actress, author and comedian. She is best known for her role as Hilary Banks on the NBC sitcom The Fresh Prince of Bel-Air from 1990 to 1996. Parsons also starred in the 1995 film Major Payne opposite Damon Wayans, and in The Job (2001–2002) as Toni.
Cane Creek Mountains
Cane Creek Mountains is a small mountain range that lies south of Burlington, North Carolina.  The range covers an area including Alamance County, Guilford County, Randolph County, and Chatham County in North Carolina.

Randolph County, North Carolina
Randolph County is a county located in the U.S. state of North Carolina. As of the 2020 census, the population was 144,171. Its county seat is Asheboro.

Randolph County is included in the Greensboro-High Point, NC Metropolitan Statistical Area, which is also included in the Greensboro–Winston-Salem–High Point, NC Combined Statistical Area.

In 2020, the center of population of North Carolina was located in Randolph County, east of Seagrove.
Bilino Polje abjuration
Bilino Polje abjuration, also known as “Confessio Christianorum bosniensis”, was an act of heresy abjuration by Bosnian clergy in presence of Ban Kulin and Giovanni da Casamari. It was signed by seven priors of the Bosnian Church, on 8 April 1203 at Bilino Polje field, near today town of Zenica, in Bosnia and Herzegovina. The same document was brought to Buda, in 30 April by Giovanni da Casamari, Ban Kulin and two abbots, where it was examined by Emeric, King of Hungary, and the high clergy.

Buda
Buda (Hungarian pronunciation: [ˈbudɒ], German: Ofen) is the part of Budapest, the capital city of Hungary, that lies on the western bank of the Danube. Historically, "Buda" referred only to the royal walled city on Castle Hill (Hungarian: Várhegy), which was constructed by Béla IV between 1247 and 1249 and subsequently served as the capital of the Kingdom of Hungary from 1361 to 1873. In 1873, Buda was administratively unified with Pest and Óbuda to form modern Budapest.

Royal Buda is called the Várnegyed (lit. 'Castle Quarter') today, while "Buda" pars pro toto denotes Budapest's I., II., III., XI., XII. and XXII. districts. This colloquial definition thus includes medieval Óbuda and amounts to a third of the city's total area, much of it forested. Buda's landmarks include the Royal Palace, Matthias Church, the Citadella, Gellért Baths, the Buda Hills, the Carmelite Monastery of Buda, and the residence of the President of Hungary, Sándor Palace.
Fernando, Lord of Serpa
Infante Fernando of Portugal (Portuguese pronunciation: [fɨɾˈnɐ̃du]), or Ferdinand in English, was a Portuguese infante (prince), son of King Afonso II of Portugal and his wife Urraca of Castile, daughter of Alfonso VIII of Castile.

Fernando was born in 1218 and was made Lord of Serpa in 1232. It is known that he travelled to Rome in 1237 to beg for a pardon from Pope Gregory IX for his violence against certain clerics. He died on 19 January 1246.

Serpa
Serpa (Portuguese pronunciation: [ˈsɛɾpɐ] ⓘ) is a municipality in the district of Beja in southern Portugal. The population in 2011 was 15,623, in an area of 1,105.63 square kilometres (426.89 mi2). The Guadiana River flows close to the town of Serpa.
2004 Latvian Higher League
The 2004 season in the Latvian Higher League, named Virslīga, was the 14th domestic competition since the Baltic nation gained independence from the Soviet Union on 6 September 1991. Eight teams competed in this edition, with Skonto FC claiming the title.

Latvian Higher League
Latvian Higher League or Virslīga, also known as TonyBet Virslīga for sponsorship reasons, is a professional association football league in Latvia and the highest level of the Latvian football league system. Organised by the Latvian Football Federation, the league is contested by ten clubs.
Yoshitomo Nara
Yoshitomo Nara (奈良 美智, Nara Yoshitomo; born 5 December 1959 in Hirosaki, Aomori Prefecture, Japan) is a Japanese artist. He lives and works in Nasushiobara, Tochigi Prefecture, though his artwork has been exhibited worldwide. Nara has had nearly 40 solo exhibitions since 1984. His art work has been housed at the MoMA and the Los Angeles County Museum of Art (LACMA). His most well-known and repeated subjects are "big-headed girls" with piercing eyes, who one Nara scholar describes as having "childlike expressions [that] resonate with adult emotions, [their] embodiment of kawaii (cuteness) carries a dark humor, and any explicit cultural references are intertwined with personal memories."

Tochigi Prefecture
Tochigi Prefecture (栃木県, Tochigi-ken) is a landlocked prefecture of Japan located in the Kantō region of Honshu. Tochigi Prefecture has a population of 1,897,649 (1 June 2023) and has a geographic area of 6,408 km2 (2,474 sq mi). Tochigi Prefecture borders Fukushima Prefecture to the north, Gunma Prefecture to the west, Saitama Prefecture to the south, and Ibaraki Prefecture to the southeast.

Utsunomiya is the capital and largest city of Tochigi Prefecture, with other major cities including Oyama, Tochigi, and Ashikaga. Tochigi Prefecture is one of only eight landlocked prefectures and its mountainous northern region is a popular tourist region in Japan. The Nasu area is known for its onsens, local sake, and ski resorts, the villa of the Imperial Family, and the Nasushiobara station of the Shinkansen railway line. The city of Nikkō, with its ancient Shintō shrines and Buddhist temples, is a UNESCO World Heritage Site.
George Bako
George Bako was the Anglican Bishop of Lokoja in Lokoja Province of the Church of Nigeria.

He attended CMS Grammar School, Lagos.

Bako was Director-General of the Federal Radio Corporation of Nigeria, and Third President of the Commonwealth Broadcasting Association, from June 1982 to November 1984.

He was consecrated as the pioneer Bishop of Lokoja in 1994. The second bishop, Emmanuel Egbunu, was enthroned in 2004.

He is the subject of the book George Bako Bishop of Lokoja: The Controversial Fool for Christ by Chukwurah Ezebube.

Emmanuel Egbunu
Emmanuel Egbunu is the Diocesan Bishop of Lokoja; and the Archbishop Emeritus of the  Anglican Province of Lokoja, one of 14 within the Church of Nigeria.

He was the second Bishop of Lokoja, enthroned in 2004.

Egbunu was born on 4 September 1960 in Lokoja.
Leona Farris
Leona Wright Farris (August 11, 1917 – February 27, 2022) was an American educator. She worked as an assistant professor at the University of Akron from 1969 to 1988 and some sources list her as the first African American woman to hold that position at the university. Her family was one of the first black families to live in Stow, Ohio, and her children were the first black children to attend the school district there. Farris was involved in integrating the dormitories of Ohio State University and continued to be active in groups such as the NAACP and Alpha Kappa Alpha throughout her life. The University of Akron has a scholarship in her name.

Alpha Kappa Alpha
Alpha Kappa Alpha Sorority, Inc. (ΑΚΑ) is a historically African-American sorority. The sorority was founded in 1908 at Howard University in Washington, D.C. Alpha Kappa Alpha was incorporated in 1913. It is a member of the National Pan-Hellenic Council (NPHC), a group of historically Black fraternities and sororities often called the Divine Nine.

In 2025, Alpha Kappa Alpha had more than 365,000 members in 1,085 chapters in the United States and eleven other countries. Women may join through undergraduate chapters at a college or university, or graduate chapters after acquiring an undergraduate or advanced college degree.
Tanktics: Computer Game of Armored Combat on the Eastern Front
Tanktics: Computer Game of Armored Combat on the Eastern Front is a 1976 two-player tank battle computer wargame by Chris Crawford. It was Crawford's first video game. He initially self-published it as Wargy I. It was published by Avalon Hill in 1981 as Tanktics.

The game has no graphics; the player moves tokens on a physical map to represent a tank battle, with the computer controlling one of the sides.

The game received weak reviews by critics, who found the artificial intelligence to be weak and suited for players who wanted neither a complex nor fast-paced game.

Avalon Hill
Avalon Hill Games Inc. is a game company that publishes wargames and strategic board games. It has also published miniature wargaming rules, role-playing games and sports simulations. It is a subsidiary of Hasbro, and operates under the company's "Hasbro Gaming" division.

Avalon Hill introduced many of the concepts of modern recreational wargaming, including the use of a hexagonal grid (a.k.a. hexgrid) overlaid on a flat folding board, zones of control (ZOC), stacking of multiple units at a location, and board games based upon historical events.
Hōgan-biiki
Hōgan-biiki (Japanese: 判官贔屓) is a term that has come to describe a physiological phenomenon where people extend sympathy to those in weaker or disadvantaged positions without critically assessing the rights and wrongs of their situation. It primarily refers to the sympathetic or pitying sentiment people feel towards Minamoto no Yoshitsune, often lacking an objective perspective.

The term "Hōgan" is typically read as "Hangan" but is traditionally pronounced "Hōgan" in the context of Yoshitsune's legends and Kabuki performances.

Kabuki
Kabuki (歌舞伎; Japanese pronunciation: [ka.bɯ.kʲi]) is a classical form of Japanese theatre, mixing dramatic performance with traditional dance. Kabuki theatre is known for its heavily stylised performances, its glamorous, highly decorated costumes, and for the elaborate kumadori make-up worn by some of its performers.

Kabuki is thought to have originated in the early Edo period, when the art's founder, Izumo no Okuni, formed a female dance troupe that performed dances and light sketches in Kyoto. The art form later developed into its present all-male theatrical form after women were banned from performing in kabuki theatre in 1629. Kabuki developed throughout the late 17th century and reached its zenith in the mid-18th century.

In 2005, kabuki theatre was proclaimed by UNESCO as an intangible heritage possessing outstanding universal value. In 2008, it was inscribed in the UNESCO Representative List of the Intangible Cultural Heritage of Humanity.
Libby Houston
Libby Houston (born 1941) is an English poet and botanist. The native of North London has published several collections of poetry. Houston, a research associate at the School of Biological Sciences at the University of Bristol, has discovered several new species of whitebeam (Sorbus), one of which has been given her name. In addition to membership in several organisations related to botany, Houston is a participant in the Avon Gorge & Downs Wildlife Project. She was the recipient of the H. H. Bloomer medal in 2012. The award from the Linnean Society of London acknowledged her contribution to natural history, in particular, the body of knowledge of whitebeams in Britain, and the flora of Avon Gorge in Bristol, England. In 2018, she was recipient of the Marsh Botany Award, in recognition of lifetime achievement in the field.

Avon Gorge
The Avon Gorge (grid reference ST560743) is a 1.5-mile (2.4 km) long gorge on the River Avon in Bristol, England. The gorge runs south to north through a limestone ridge 1.5 miles (2.4 km) west of Bristol city centre, and about 3 miles (5 km) from the mouth of the river at Avonmouth. The gorge forms the boundary between North Somerset and Bristol, with the boundary running along the south bank. As Bristol was an important port, the gorge formed a defensive gateway to the city.

On the east of the gorge is the Bristol suburb of Clifton, and The Downs, a large public park. To the west of the gorge is Leigh Woods, the name of both a village and the National Trust forest it is situated in. There are three Iron Age hill forts overlooking the gorge, as well as Clifton Observatory. The Clifton Suspension Bridge, an icon of Bristol, crosses the gorge.

51°27′18″N 2°37′40″W﻿ / ﻿51.4549°N 2.6279°W﻿ / 51.4549; -2.6279
The Milky Way (2023 film)
The Milky Way (Hebrew: חלב, romanized: Halav) is a 2023 Israeli-French dystopian black comedy film written, edited and directed by Maya Kenig. Starring Hila Ruach and Hadas Yaron. It is about a young musician and single mother who joins a company that extracts breast milk from poor women to sell to rich mothers.

Hadas Yaron
Hadas Yaron (Hebrew: הדס ירון; born April 12, 1990) is an Israeli actress. She began acting as a child and made her film debut as a supporting actress in the 2006 film, Out of Sight. Yaron played lead character Shira Mendelman in the 2012 Israeli drama film, Fill the Void.  In September of that year, she received an Ophir Award and became the first Israeli to win the Volpi Cup for Best Actress at the Venice Film Festival.
Frankford Avenue Bridge
The Frankford Avenue Bridge, also known as the Pennypack Creek Bridge, the Pennypack Bridge, the Holmesburg Bridge, and the King's Highway Bridge, erected in 1697 in the Holmesburg section of Northeast Philadelphia, in the U.S. state of Pennsylvania, is the oldest surviving roadway bridge in the United States. The three-span, 73-foot-long (22 m) twin stone arch bridge carries Frankford Avenue (U.S. Route 13), just north of Solly Avenue, over Pennypack Creek in Pennypack Park.

The bridge was designated a National Historic Civil Engineering Landmark by the American Society of Civil Engineers in 1970. It was listed in the National Register of Historic Places in 1988.

American Society of Civil Engineers
The American Society of Civil Engineers (ASCE) is a tax-exempt professional body founded in 1852 to represent members of the civil engineering profession worldwide. Headquartered in Reston, Virginia, it is the oldest national engineering society in the United States. Its constitution was based on the older Boston Society of Civil Engineers from 1848.

ASCE is dedicated to the advancement of the science and profession of civil engineering and the enhancement of human welfare through the activities of society members. It has more than 143,000 members in 177 countries. Its mission is to provide essential value to members, their careers, partners, and the public; facilitate the advancement of technology; encourage and provide the tools for lifelong learning; promote professionalism and the profession; develop and support civil engineers.