hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Maschke's theorem
In mathematics, Maschke's theorem, named after Heinrich Maschke, is a theorem in group representation theory that concerns the decomposition of representations of a finite group into irreducible pieces. Maschke's theorem allows one to make general conclusions about representations of a finite group G without actually computing them. It reduces the task of classifying all representations to a more manageable task of classifying irreducible representations, since when the theorem applies, any representation is a direct sum of irreducible pieces (constituents). Moreover, it follows from the Jordan–Hölder theorem that, while the decomposition into a direct sum of irreducible subrepresentations may not be unique, the irreducible pieces have well-defined multiplicities. In particular, a representation of a finite group over a field of characteristic zero is determined up to isomorphism by its character.

Multiplicity (mathematics)
In mathematics, the multiplicity of a member of a multiset is the number of times it appears in the multiset.  For example, the number of times a given polynomial has a root at a given point is the multiplicity of that root.

The notion of multiplicity is important to be able to count correctly without specifying exceptions (for example, double roots counted twice).  Hence the expression, "counted with multiplicity".

If multiplicity is ignored, this may be emphasized by counting the number of distinct elements, as in "the number of distinct roots". However, whenever a set (as opposed to multiset) is formed, multiplicity is automatically ignored, without requiring use of the term "distinct".
Patrick Banor
Patrick Banor is a Ghanaian politician and an administrator. He was a member the eighth parliament of the fourth republic of Ghana of parliament for the Asutifi North constituency on the ticket of the New Patriotic Party (NPP)

Asutifi North (Ghana parliament constituency)
Asutifi North is one of the constituencies represented in the Parliament of Ghana. It elects one Member of Parliament (MP) by the first past the post system of election. Ebenezer Kwaku Addo is the member of parliament for the constituency. He was elected on the ticket of the National Democratic Congress and won a majority of 18,584 votes.
Maaten al-Sarra Air Base
The Maaten al-Sarra Air Base is an airbase in southernmost Libya located near the Ma'tan as-Sarra oasis in the Kufra district. It is one of the 13 military airbases in Libya.

During the final phase of the Chadian-Libyan conflict, Maaten al-Sarra was the main air base in Southern Libya, having three modern runways and parking space for over 100 combat aircraft.

Military aircraft
A military aircraft is any fixed-wing or rotary-wing aircraft that is operated by a legal or insurrectionary military of any type. Some military aircraft engage directly in aerial warfare, while others take on support roles:

Combat aircraft, such as fighters and bombers, are designed to destroy enemy equipment or personnel using their own ordnance. Combat aircraft are typically developed and procured only by military forces.

Non-combat aircraft, such as transports and tankers, are not designed for combat as their primary function but may carry weapons for self-defense. These mainly operate in support roles, and may be developed by either military forces or civilian organizations.
How Could I Want More
"How Could I Want More" is the debut single by American actress and singer Jamie Lynn Spears. The song was written by Spears and Rivers Rutherford, and was self-released (under the label name Sweet Jamie Music, Inc.) on November 25, 2013 as the lead single from Spears' debut EP, The Journey. The track received acclaim from music critics, who praised Spears for taking a different musical direction than her sister, and for the maturity expressed in the lyrics and her delivery. Spears wrote the song about her future-husband Jamie Watson.

Rivers Rutherford
Melvern Rivers Rutherford II (born June 17, 1967) is an American country music songwriter. He has written songs since at least the 1990s as a songwriter; he has written several number one country hits including "Ain't Nothing 'bout You" by Brooks & Dunn, which was the Number One country song of 2001 according to Billboard. Among the other number one songs which he has composed are "If You Ever Stop Loving Me" by Montgomery Gentry, "When I Get Where I'm Going" by Brad Paisley and Dolly Parton, "Real Good Man" by Tim McGraw, "Living in Fast Forward" by Kenny Chesney, "Ladies Love Country Boys" by Trace Adkins, and "These Are My People" by Rodney Atkins. He has also released a solo CD called Just Another Coaster.
He was inducted into the Nashville Songwriters Hall of Fame in 2019
Bone Cave, Tennessee
Bone Cave (also Big Bone Cave or Bonecave) is an unincorporated community in Van Buren County, Tennessee, United States.  It lies just off U.S. Route 70S northwest of Spencer and southeast of Rock Island.  Its elevation is 965 feet (294 m), and it is located at 35°46′30″N 85°35′6″W﻿ / ﻿35.77500°N 85.58500°W﻿ / 35.77500; -85.58500 (35.7750675, -85.5849782).  The Rocky River passes through the community.  The various forms of its names led the Board on Geographic Names to decide on the official form of the community's name in 1895.

The community is named for nearby Big Bone Cave, one of the most famous and historic caves in Tennessee.  Big Bone Cave was named for the discovery of a giant ground sloth skeleton in 1811 during the mining of cave dirt to be processed for saltpeter.

A post office called Bone Cave was established in 1866, and remained in operation until it was discontinued in 1977.

United States Board on Geographic Names
The United States Board on Geographic Names (BGN) is a federal body operating under the United States secretary of the interior. The purpose of the board is to establish and maintain uniform usage of geographic names throughout the federal government of the United States.
10th Class Diaries
10th Class Diaries is a 2022 Indian Telugu-language coming-of-age romantic comedy film directed and filmed by Garudavega Anji (in his directorial debut) from a story written by Vennela Ramarao. The film stars Sriram, Avika Gor, Srinivasa Reddy, Ramarao, Himaja and Archana.

10th Class Diaries was theatrically released on 1 July 2022.

Himaja
Himaja Mallireddy is an Indian actress and model who works primarily in Telugu cinema. She is popularly known for her debut serial Konchem Istam Konchem Kastam and primarily known for her roles in movies Sathamanam Bhavati, Vunnadhi Okate Zindagi and Chitralahari. She participated as a contestant in Season 3 of Bigg Boss and evicted on day 63.
Orange bellowsfish
The orange bellowsfish (Notopogon fernandezianus) is a species of fish of the family Macroramphosidae, found around South America, at depths of 150 to 580 m (490 to 1,900 ft).  Its length is up to 18 cm (7.1 in).

The orange bellowsfish is a bathydemersal species which occurs over the continental shelf and continental slope off the subtropical coasts of South America, in the south-eastern Pacific from Juan Fernández to the Nazca and the Isla Salas y Gómez while in the south western Atlantic it ranges from southern Brazil to Argentina. It is not known to be subject to any threats and is therefore listed by the IUCN as Least Concern. The body has six slanted purplish-blue bands with a background colour of silvery white. The gill cover and area beneath the eye are silvery while the upper portion of the head and the snout are dark blue. The fins are translucent.

Isla Salas y Gómez
Isla Salas y Gómez (Spanish pronunciation: [ˈisla ˈsalas i ˈɣomes]), also known as Isla Sala y Gómez (Spanish pronunciation: [ˈisla ˈsalaj ˈɣomes]; Rapa Nui: Motu Motiro Hiva), is a small uninhabited Chilean island in the Pacific Ocean. It is sometimes considered the easternmost point in the Polynesian Triangle.

Isla Salas y Gómez and its surrounding waters are a Marine Protected Area called Parque Marino Salas y Gómez, with a surface area of 150,000 km2. Throughout its history, the island has been largely untouched by humans, due to its diminutive size and remoteness.
Lazar Raschkow
Lazar Raschkow (Hebrew: אלעזר ראשקאוו; 1798 – 2 August 1870) was a German Jewish physician, writer, and poet.

Born in Raschkow, he received his early instruction in Hebrew from his father, the local rabbi, and later studied at the yeshiva of Rabbi Tuvia Asche. At an early age he took a position as tutor at Neisse, where he prepared himself for the secunda of the gymnasium of that city. After his graduation he studied medicine at the University of Budapest, and was then appointed surgeon in the Austrian army, but was obliged to resign because of his writings on behalf of the emancipation of the Jews.

Raschkow then began to practise at Mád, but being soon forced to give up this work on account of ill health, he engaged in tutoring and writing. From this period dates his history Ḳerot yeme 'olam, while his dramatic poem Amnon ve-Tamar (Breslau, 1832) was a product of his youth. Shortly before his death he composed his epitaph, in which he related the story of his life.

Mád
Mád (Yiddish: מאדע Made) is a village in Borsod-Abaúj-Zemplén County in northeastern Hungary.

The former Jewish synagogue (1795) in Mád was restored between 2000 and 2004 with aid from the World Monuments Fund.
National Anthem (album)
National Anthem is the debut album by North Carolina hip hop duo The Away Team, released on 6-Hole Records in 2005. The album features guest appearances from Joe Scudda, Chaundon, Smif-n-Wessun, and Little Brother's Big Pooh and Phonte. It was described by ALARM magazine as "a combination of consistent rhymes and better then [sic] stellar production".

Little Brother (group)
Little Brother were an American hip-hop duo from Durham, North Carolina, that consists of rappers Phonte and Big Pooh. DJ and producer 9th Wonder was an original member of the group but departed in 2007. The group has produced five acclaimed studio albums and six mixtapes. Little Brother is highly regarded among hip-hop fans and critics.
Erhard Bodenschatz
Erhard Bodenschatz (1576 in Lichtenberg – 1636 in Groß-Osterhausen) was a German pastor, cantor and composer. He was cantor at Schulpforta from 1600 to 1603 and pastor in Groß-Osterhausen/Querfurt from 1608 onwards.

He produced several motets. Among his best known works was the edited motet collection Florilegium Portense, meaning "Schulpforta's anthology". It was published in two volumes in Leipzig in 1618 and 1621 and held 365 motets by 58 composers, giving a good insight into the 17th century choral repertoire in Saxony and Thuringia. Johann Sebastian Bach is known to have been familiar with the work, using it and ordering further copies for the Thomanerchor whilst he was Thomaskantor.

Thomanerchor
The Thomanerchor (English: St. Thomas Choir of Leipzig) is a boys' choir in Leipzig, Germany. The choir was founded in 1212. The choir comprises about 90 boys from 9 to 18 years of age. The members, called Thomaner, reside in a boarding school, the Thomasalumnat and attend the St. Thomas School, Leipzig, a Gymnasium school with a linguistic profile and a focus on musical education. The younger members attend the primary school Grundschule Forum Thomanum or Anna-Magdalena-Bach-Schule. Johann Sebastian Bach served as Thomaskantor, director of the choir and church music in Leipzig, from 1723 to 1750.
Dialipina
Dialipina is an extinct genus of prehistoric marine bony fish from the Early Devonian. It contains two species, both known from the high Arctic of Asia and North America. It was initially thought to be and sometimes still is treated as an early, basal actinopterygian, but recent phylogenetic analyses suggest that it may instead be a stem-osteichthyan.

The following species are known:

†D. markae Schultze, 1992 - Lochkovian of Kotelny Island, Russia

†D. salgueiroensis Schultze, 1968 (type species) - Emsian of the Northwest Territories, Canada (Bear Rock Formation)

The early Devonian stem-gnathostome Janusiscus was described from remains from the Siberian mainland that were previously attributed to D. markae.

Lochkovian
The Lochkovian is one of three faunal stages in the Early Devonian Epoch. It lasted from 419.62 ± 1.36 million years ago to 413.02 ± 1.91 million years ago. It marked the beginning of the Devonian Period, and was followed by the Pragian Stage. It is named after the village of Lochkov in the Czech Republic, now part of the city of Prague. The GSSP is located within the Lochkow Formation at the Klonk Section in Prague.

In North America the Lochkovian Stage is represented by Gedinnian or Helderbergian time.
Charcot Fan
Charcot Fan (66°0′S 86°0′W﻿ / ﻿66.000°S 86.000°W﻿ / -66.000; -86.000) is a deep-sea formation in the Southern Ocean. It lies off the coast of the West Antarctic Ellsworth Land.

The Charcot Fan is an abyssal fan specifically located between  the Bellingshausen Plain and the continental shelf of the Bellingshausen Sea.

It is named after the French polar explorer Jean-Baptiste Charcot (1867–1936). The US Advisory Committee for Undersea Features (ACUF) confirmed the designation in June 1988.

Bellingshausen Plain
Bellingshausen Plain (64°0′S 90°0′W﻿ / ﻿64.000°S 90.000°W﻿ / -64.000; -90.000), also known as Bellinghausen Abyssal Plain, is an undersea plain parallel to the continental rise in the Bellingshausen Sea, named for Admiral Fabian Gottlieb von Bellingshausen, commander of the Russian Antarctic Expedition (1818–1821). The name was approved by the Advisory Committee for Undersea Features in April 1974.
No. 6 Squadron (Finland)
No. 6 Squadron (Finnish: Lentolaivue 6 or LLv.6, from 3 May 1942 Le.Lv.6), renamed No. 6 Bomber Squadron (Finnish: Pommituslentolaivue 6 or PLe.Lv.6 on 14 February 1944) was a maritime bomber squadron of the Finnish Air Force during World War II. The squadron was part of Flying Regiment 5.

Finnish Air Force
The Finnish Air Force (FAF or FiAF; Finnish: Ilmavoimat, lit. 'Air forces' [ˈilmɑˌʋoi̯mɑt]; Swedish: Flygvapnet, lit. 'Air arm') is the aerial warfare branch of the Finnish Defence Forces. Its primary peacetime tasks include airspace surveillance, identification and interception missions, and maintaining operational readiness for wartime operations. The Finnish Air Force was founded on 6 March 1918.
Hernanz
Hernanz (Spanish pronunciation: [eɾˈnanθ]) is a Spanish surname. Notable people with the surname include:

Javier Hernanz (born 1983), Spanish sprint canoeist

Javier Martí Hernanz (born 1992), Spanish tennis player

Samuel Hernanz (born 1986), French-born Spanish slalom canoeist

Samuel Hernanz
Samuel Hernanz Obrador (Spanish pronunciation: [saˈmwel eɾˈnanθ oβɾaˈðoɾ]; born 15 April 1986) is a French-born Spanish slalom canoeist who has competed at the international level since 2004 He represented France in his first international season.

Hernanz won a gold medal in the K1 team event at the 2019 ICF Canoe Slalom World Championships in La Seu d'Urgell. He also won one silver and two bronzes at the European Championships.

At the 2012 Summer Olympics he competed in the K1 event where he finished in 5th place.

His father Richard represented France in canoe slalom.
Joe Nina
Makhosini Henry Xaba (born 12 June 1974), better known by stage name Joe Nina, is a popular South African singer. In 1997 he wrote the theme song for, and joined the cast, of Les Blair's Channel Four Films improv comedy film Jump the Gun.

Jump the Gun (film)
Jump the Gun is a 1997 South African film directed by Les Blair for Channel Four Films. The film follows six diverse, working-class individuals as they try and establish themselves in the newly democratic South Africa. Les Blair's quintessentially British kitchen sink realism is applied to a South African context. The film stars Baby Cele, Lionel Newton, and Michele Burgers amongst others. Characters were built from the ground up with South African actors by using improvisation.

The film was nominated at the 1997 Chicago International Film Festival for a Gold Hugo award for best film.
1.Cuz
Abas Abdikarim Bakar, better known as 1.Cuz (born September 23, 1997), is a Swedish rapper of Somali heritage from Hässelby, Stockholm.  He is known for performing with a white balaclava covering his head.

1.Cuz spent two years in prison, an experience that he later said influenced his musical career. In November 2018, he released his debut single "Akta mannen", and in December 2019, his studio album 1 År reached the top of the Swedish Albums Chart. In 2022, 1.Cuz was featured on a remix of Ed Sheeran's song "2step", and the two later performed together at the Ullevi stadium. In August 2025, Ed Sheeran was the secret guest when 1.Cuz played at Gröna Lund performing "2step" with him.

Balaclava (clothing)
A balaclava, also called a ski mask or racing mask (and sometimes a sheisty in African-American Vernacular English), is a piece of cloth headgear designed to expose only part of the face, usually the eyes and mouth. Depending on style and how it is worn, only the eyes, mouth and nose, or just the front of the face are unprotected. Versions with enough of a full face opening may be rolled into a hat to cover the crown of the head or folded down as a collar around the neck. It is commonly used in alpine skiing, snowboarding, motorsport and motorcycle racing.
Nuolja
Nuolja, also known as Njulla, is a field research site in Sweden that stretches across Mt. Njulla. With the mountain to the east, the village of Abisko to the south, and bordering Lake Torneträsk, this is a varied-habitat field site. Mountain birch forests are one of the main appeals of this research site.

The name "Nuolja" may also refer specifically to a 12 km hiking trail on Mt. Njulla, Sweden.

Abisko
Abisko (Swedish: [ˈɑ̌ːbɪskʊ]; Northern Sami: Ábeskovvu) is a village in Sápmi (Lapland), in northern Sweden, roughly 200 km north of the Arctic Circle, and near Abisko National Park, located 4 km west of the village. It had 85 inhabitants as of 2005.

Permafrost is common around the village, although this low-altitude permafrost is disappearing because of global warming and increased snowfall.
1980 Metro Manila Film Festival
The 6th Metro Manila Film Festival was held in 1980.

Fernando Poe, Jr. had his first Panday film, the undisputed top grosser of the festival; Nora Aunor had two entries: Lino Brocka's Bona and Laurice Guillen's Kung Ako'y Iiwan Mo; Vilma Santos came up with Danny Zialcita's Langis at Tubig;  Amy Austria in Marilou Diaz-Abaya's Brutal. Other entries were Basag with Alma Moreno, Taga sa Panahon with Christopher de Leon and Bembol Roco, and three comedy films: Tembong with Niño Muhlach, Kape't Gatas with Chiquito and Julie Vega, and Dang-Dong with Andrea Bautista (daughter of Ramon Revilla, Sr.).

The Festival's Best Picture was awarded to Premiere Productions' Taga sa Panahon. The awards were spread equally and the category for Best Child Performer was first introduced in this year received by Julie Vega.

Amy Austria
Esmeralda Dizon Tuazon-Ventura (born December 13, 1961), known professionally as Amy Austria (Tagalog: [ˈami ˈʔaʊstɾija bɛnˈtʊɾa]), is a Filipino film and television actress. She is a recipient of a FAMAS Award, 2 Gawad Urian Awards, 3 FAP Awards and 4 MMFF Awards (including three Best Actress wins).

The Philippine Star listed Austria among the 15 Best Actresses of All Time. In 2019, Austria was inducted at the Hall of Fame at the Metro Manila Film Festival.
Baseline Rock
Baseline Rock is an isolated rock lying between Nøst Island and the Flat Islands in Holme Bay, Mac. Robertson Land. It was mapped by Norwegian cartographers from air photos taken by the Lars Christensen Expedition, 1936–37, and so named by the Antarctic Names Committee of Australia because the rock was used as one end of the baseline of a triangulation carried out by Australian National Antarctic Research Expeditions in 1959.

Holme Bay
Holme Bay is a bay in Antarctica in Mac. Robertson Land, 22 miles (35 km) wide, containing many islands, indenting the coast 5 miles (8 km) north of the Framnes Mountains. Holme Bay is largely snow-free and was mapped by Norwegian cartographers from aerial photographs taken by the Lars Christensen Expedition in January-February 1937, and named Holmevika because of its island-studded character (holme means "islet" in Norwegian) .
Isla Gatun, Panama
Isla Gatun is a private island located in the middle of the Panama Canal in the southwest of Gatun Lake, which was the largest man-made lake in the world at the time it was built. The island has an area of 2,994 m2 (32,230 sq ft). The island is ringed with trees and foliage but the center is barren. There are no known indigenous people residing on the island; however, small animals such as monkeys, parrots, toucans and tapirs do inhabit the island. The island is currently for sale for the price of $30,000; however, much like 95% of Panamanian islands, it is not titled and is only available with a Right of Possession. Isla Gatun is 820 metres (2,690 ft) northwest of the small fishing village Arenosa. The village Arenosa also has a small marina, restaurants, and cell phone reception.

Toucan
Toucans (/ˈtuːkæn/, UK: /-kən/) are Neotropical birds in the family Ramphastidae. They are most closely related to the Toucan barbets. They are brightly marked and have large, often colorful bills. The family includes five genera and over 40 different species.

Toucans are arboreal and typically lay two to four white eggs in their nests. They make their nests in tree hollows and holes excavated by other animals such as woodpeckers—the toucan bill has very limited use as an excavation tool. When the eggs hatch, the young emerge completely naked, without any down. Toucans are resident breeders and do not migrate. Toucans are usually found in pairs or small flocks. They sometimes fence with their bills and wrestle, which scientists hypothesize they do to establish dominance hierarchies. In Africa and Asia, hornbills occupy the toucans' ecological niche, an example of convergent evolution.
Ackerman syndrome
Ackerman syndrome or interstitial granulomatous dermatitis is a familial syndrome of fused molar roots with a single canal (taurodontism), hypotrichosis, full upper lip without a cupid's bow, thickened and wide philtrum, and occasional juvenile glaucoma.
It was described by James L. Ackerman, A. Leon Ackerman, and A. Bernard Ackerman.

Taurodontism
Taurodontism is defined as the enlargement of pulp chambers with the furcation area being displaced toward the apex of the root of a tooth. It cannot be diagnosed clinically and requires radiographic visualization since the crown of a taurodontic tooth appears normal and its distinguishing features are present below the alveolar margin. Taurodontism can present in deciduous or permanent dentition, unilaterally or bilaterally, but is most common in the permanent molar teeth of humans. The underlying mechanism of taurodontism is the failure or late invagination of Hertwig's epithelial root sheath, which leads an apical shift of the root furcation.
A.E. Nikaia
A.E. Nikaia (full name Athlitiki Enosi Nikaia) was a volleyball club based in Nikaia. The club was founded in 2001, after the merger of the Ionikos Nikaias and G.N.O. Aris Nikaias volleyball clubs. The team's greatest success was winning the Greek Volleyball Cup in 2003. A.E. Nikaia beat Panathinaikos V.C. in the finals, 3–2. Following the championship, the team experienced many financial problems and was eventually relegated to the A2 division, during 2005–2006 season.  After one year in the second division, the club dissolved.

Jorge Elgueta
Jorge Elgueta (born (1969-11-21)21 November 1969) is a former Argentine male volleyball player and current coach. He was part of the Argentina men's national volleyball team. He competed with the national team at the 1996 Summer Olympics in Atlanta, USA and at the 2004 Summer Olympics in Athens, Greece.