hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
GKS Katowice Stadium
The GKS Katowice Stadium is a football stadium at Silesian Culture and Recreation Park in Chorzów (just at the border with Katowice), Poland. It currently serves as the home ground of GKS Katowice's women's team. The stadium also hosted GKS Katowice's men's team (until 2025) and three matches of Poland national football team. The venue holds 6,710 people and was built in 1955.

GKS Katowice
GKS Katowice (Polish pronunciation: [ɡʲɛ ka ˈɛs katɔˈvitsɛ]; GKS stands for Górniczy Klub Sportowy, lit. 'Miners Sporting Club') is a Polish men's professional football club based in Katowice. They currently compete in the Ekstraklasa in the 2024–25 season after gaining promotion from the I liga in 2024.
Pieri's formula
In mathematics, Pieri's formula, named after Mario Pieri, describes the product of a Schubert cycle by a special Schubert cycle in the Schubert calculus, or the product of a Schur polynomial by a complete symmetric function.

In terms of Schur functions sλ indexed by partitions λ, it states that

where hr is a complete homogeneous symmetric polynomial and the sum is over all partitions λ obtained from μ by adding r elements, no two in the same column.
By applying the ω involution on the ring of symmetric functions, one obtains the dual Pieri rule
for multiplying an elementary symmetric polynomial with a Schur polynomial:

The sum is now taken over all partitions λ obtained from μ by adding r elements, no two in the same row.

Pieri's formula implies Giambelli's formula. The Littlewood–Richardson rule is a generalization of Pieri's formula 
giving the product of any two Schur functions. Monk's formula is an analogue of Pieri's formula for flag manifolds.

Elementary symmetric polynomial
In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial can be expressed as a polynomial in elementary symmetric polynomials.  That is, any symmetric polynomial P is given by an expression involving only additions and multiplication of constants and elementary symmetric polynomials.  There is one elementary symmetric polynomial of degree d in n variables for each positive integer d ≤ n, and it is formed by adding together all distinct products of d distinct variables.
Corsley
Corsley is a hamlet and civil parish 3 miles (5 km) west of Warminster in Wiltshire, England. The parish is on the county border with Somerset; the Somerset town of Frome is about 3 miles (5 km) to the northwest. The largest settlement in the parish is Corsley Heath, which is on the A362 Warminster-Frome road.

The parish has several small settlements. Lye's Green is between Corsley and Corsley Heath (not to be confused with Lye Green, in Westwood parish near Bradford on Avon). Lane End is west of Corsley Heath on the A362, while the small hamlet of Sturford is to the east. South of the main road are Dertfords, Longhedge, Whitbourne Moor (formerly Lower Whitbourne), Temple (formerly Middle Whitbourne) and Whitbourne Springs (formerly Upper Whitbourne).

Much of the parish was originally part of the Longleat Estate and part of the Longleat Safari Park lies within the parish boundary. Cley Hill, owned by the National Trust, is in the east of the parish.

Warminster
Warminster (/ˈwɔːrmɪnstər/) is a historic market town and civil parish in south-west Wiltshire, England, on the western edge of Salisbury Plain. The parish had a population of 18,173 in 2021.

The name Warminster occurs first in the early 10th century and the Minster Church of St Denys was begun in the 11th century. The High Street and Market Place have many fine buildings including the Athenaeum Centre, the Town Hall, St Lawrence Chapel, The Old Bell and a variety of independent shops. Several Army establishments, known collectively as the Warminster Garrison, are on the edges of the town.
Eilenberg–Moore spectral sequence
In mathematics, in the field of algebraic topology, the Eilenberg–Moore spectral sequence addresses the calculation of the homology groups of a pullback over a fibration. The spectral sequence formulates the calculation from knowledge of the homology of the remaining spaces. Samuel Eilenberg and John C. Moore's original paper addresses this for singular homology.

Double complex
In mathematics, specifically Homological algebra, a double complex is a generalization of a chain complex where instead of having a -grading, the objects in the bicomplex have a -grading. The most general definition of a double complex, or a bicomplex, is given with objects in an additive category . A bicomplex is a sequence of objects  with two differentials, the horizontal differential

and the vertical differential

which have the compatibility relation

Hence a double complex is a commutative diagram of the form

where the rows and columns form chain complexes.

Some authors instead require that the squares anticommute. That is

This eases the definition of Total Complexes. By setting , we can switch between having commutativity and anticommutativity. If the commutative definition is used, this alternating sign will have to show up in the definition of Total Complexes.
Santa Cristina d'Aspromonte
Santa Cristina d'Aspromonte is a comune in the Province of Reggio Calabria in the Italian region Calabria, located about 90 kilometres (56 mi) southwest of Catanzaro and about 30 kilometres (19 mi) northeast of Reggio Calabria. As of 31 December 2004, it had a population of 1,086 and an area of 23.1 square kilometres (8.9 sq mi).  In 2022 there is less than 600.

Santa Cristina d'Aspromonte borders the following municipalities: Careri, Cosoleto, Oppido Mamertina, Platì, San Luca, Scido.

Oppido Mamertina
Oppido Mamertina (Calabrian Greek: Oppidù, Ofidus) is a town and comune of the province of Reggio Calabria in Calabria in southern Italy at about 62 kilometres (39 mi) northeast of Reggio Calabria and about 120 kilometres (75 mi) southwest of Catanzaro.

It is the seat of the Diocese of Oppido Mamertina.

The municipality includes the following boroughs (frazioni): Castellace, Messignadi, Piminoro, and Tresilico.
Zabralo ballistic vests
"Zabralo" (6B11, 6B12, 6B13) (Russian: "Забрало", lit. 'Visor') is a series of ballistic vests created for the Russian Armed Forces under the supervision of GRAU for inclusion in the basic set of personal equipment "Barmitsa". They were intended as a replacement for the Soviet ballistic vests 6B3, 6B4 and 6B5. The Zabralo armors was a major advance for Russian armor development due to its design.

Bulletproof vest
A bulletproof vest, also known as a ballistic vest or bullet-resistant vest, is a type of body armor designed to absorb impact and prevent the penetration of firearm projectiles and explosion fragments to the torso. The vest can be either soft—as worn by police officers, security personnel, prison guards, and occasionally private citizens to protect against stabbing attacks or light projectiles—or hard, incorporating metallic or para-aramid components. Soldiers and police tactical units typically wear hard armour, either alone or combined with soft armour, to protect against rifle ammunition or fragmentation. Additional protection includes trauma plates for blunt force and ceramic inserts for high-caliber rounds. Bulletproof vests have evolved over centuries, from early designs like those made for knights and military leaders to modern-day versions. Early ballistic protection used materials like cotton and silk, while contemporary vests employ advanced fibers and ceramic plates.
Ludovica Torelli
Ludovica Torelli (26 September 1500 – 28 October 1569) was ruling Countess of Guastalla in 1522–1539. A philanthropist, she was instrumental in the founding of two religious institutes for woman: the Angelic Sisters of Saint Paul and the "Collegio della Guastalla"/"Daughters of Mary".

Barnabites
The Barnabites (Latin: Barnabitum), officially named as the Clerics Regular of Saint Paul (Latin: Clerici Regulares Sancti Pauli), are a religious order of clerics regular founded in 1530 in the Catholic Church. They are associated with the Angelic Sisters of Saint Paul and the members of the Barnabite lay movement.
1974 Nairn District Council election
Elections to Nairn District Council were held on 7 May 1974, on the same day as the other Scottish local government elections. This was the first election to the district council following the implementation of the Local Government (Scotland) Act 1973.

The election used the 10 wards created by the Formation Electoral Arrangements in 1974. Each ward elected one councillor using first-past-the-post voting.

Independent candidates took control of the council after winning a majority – six – of seats. Nairn was considered an intermediate district in terms of its partisanship as 60 per cent of councillors were not affiliated to a political party. The remaining four seats were won by the Scottish National Party (SNP).

1974 Scottish local elections
Elections for the Scottish district councils were held on Tuesday 7 May 1974, for both the new regional and district councils, between the two United Kingdom general elections of February and October in that same year.

These were the first elections held to the 53 district councils established by the Local Government (Scotland) Act 1973.  The Labour Party did reasonably well and the Scottish National Party (SNP) did not.  The councillors acted as "shadow" councils until May 1975, when the provisions of the Local Government (Scotland) Act 1973 came into effect.
Clarence Cannon
Clarence Andrew Cannon (April 11, 1879 – May 12, 1964) was a Democratic congressman from Missouri serving from 1923 until his death in Washington, D.C. in 1964. He was a notable parliamentarian and chaired the U.S. House Committee on Appropriations. He is the longest-serving member of the United States House of Representatives from the state of Missouri.

Parliamentarian of the United States House of Representatives
The parliamentarian of the United States House of Representatives manages, supervises, and administers the Office of the Parliamentarian, which is responsible for advising the House's presiding officers, members, and staff on procedural questions under the U.S. Constitution and House rules and precedents, as well as for preparing, compiling, and publishing the precedents of the House.
Clément Cogitore
Clément Cogitore (born 27 August 1983) is a French contemporary artist and filmmaker. Combining film, video, installations and photographs, Cogitore questions the modalities of cohabitation between humankind and its own images and representations.

Marcel Duchamp Prize
The Marcel Duchamp Prize (in French : Prix Marcel Duchamp) is an annual award given to a young artist by the Association pour la Diffusion Internationale de l'Art Français (ADIAF).

The winner receives €35,000 personally and up to €30,000 in order to produce an exhibition of their work in the Modern Art museum (Centre Georges Pompidou).

The prize is named after the artist Marcel Duchamp.
Gryphon (Alice's Adventures in Wonderland)
The Gryphon is a fictional character devised by Lewis Carroll in the popular 1865 book Alice's Adventures in Wonderland. True to the conventional view of a griffin, he has the head, talons, and wings of an eagle and the body of a lion.

Griffin
The griffin, griffon, or gryphon (Ancient Greek: γρύψ, romanized: grýps; Classical Latin: gryps or grypus; Late and Medieval Latin: gryphes, grypho etc.; Old French: griffon) is a legendary creature with the body, tail, and back legs of a lion, and the head and wings of an eagle with its talons on the front legs.
Religion in Eritrea
Religion in Eritrea consists of a number of faiths. The two major religions in Eritrea are Christianity and Islam. However, the number of adherents of each faith is subject to debate. Estimates of the Christian share of the population range from 47% and 63%, while estimates of the Muslim share of the population range from 37% to 52%.

Most Eritrean Christians belong to the Eritrean Orthodox Tewahedo Church, although a minority is affiliated with the Eritrean Catholic Church and various Protestant denominations. Eritrean Muslims are predominantly Sunni.

Apart from the officially recognized denominations of Christianity and Sunni Islam, all other faiths and denominations are in principle required to undergo a registration process; in practice they are not allowed to register. Among other things, the government's registration system requires religious groups to submit personal information on their membership to be allowed to worship.

Ezana of Axum
Ezana (Ge'ez: ዒዛና, ‘Ezana, unvocalized ዐዘነ ‘zn); Ancient Greek: Ἠεζάνα, Aezana) was the ruler of the Kingdom of Aksum (320s – c. 360 AD). One of the best-documented rulers of Aksum, Ezana is important as he first adopted for his country the religion of Christianity and the name of Ethiopia. Tradition states that Ezana succeeded his father Ella Amida (Ousanas) as king while still a child; his mother, Sofya, served as regent until he came of age.
Lövheim Cube of Emotions
Lövheim Cube of Emotion is a theoretical model for the relationship between the monoamine neurotransmitters serotonin, dopamine and noradrenaline and emotions. The model was presented in 2012 by Swedish researcher Hugo Lövheim.

Orthogonality
Orthogonality is a term with various meanings depending on the context.

In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity. Although many authors use the two terms perpendicular and orthogonal interchangeably, the term perpendicular is more specifically used for lines and planes that intersect to form a right angle, whereas orthogonal is used in generalizations, such as orthogonal vectors or orthogonal curves.

The term is also used in other fields like physics, art, computer science, statistics, and economics.
Wine rack
A wine rack is a set of shelves for the organized storage of wine.  Wine racks can be built out of a number of different materials.  The size of the rack and the number of bottles it can hold can vary widely.  Wine racks can be located in a winemaker's professional wine cellar as well as private homes for personal collections.

Wine cellar
A wine cellar is a storage room for wine in bottles or barrels, or more rarely in carboys, amphorae, or plastic containers. In an active wine cellar, important factors such as temperature and humidity are maintained by a climate control system. In contrast, passive wine cellars are not climate-controlled, and are usually built underground to reduce temperature swings. An aboveground wine cellar is often called a wine room, while a small wine cellar (fewer than 500 bottles) is sometimes termed a wine closet. The household department responsible for the storage, care and service of wine in a great mediaeval house was termed the buttery.  Large wine cellars date back over 3,700 years.
Schwan Super Rink
The Super Rink at National Sports Center is a 300,000-square-foot (28,000 m2) ice rink facility that features eight sheets of ice and is the largest ice arena complex in the world. It is located on the National Sports Center campus in Blaine, Minnesota, a northern suburb of Minneapolis – Saint Paul.

Bethel University (Minnesota)
Bethel University is a private Baptist  university and seminary in Arden Hills, Minnesota, United States.

It was founded in 1871 as a seminary and is affiliated with Converge. The university enrolls 5,600 students in undergraduate, graduate, and seminary programs. Its main campus is situated on about 290 acres on the east side of Lake Valentine, just south of Interstate 694.
2024 Poznań Open
The 2024 Enea Poznań Open was a professional tennis tournament played on clay courts. It was the 20th edition of the tournament which was part of the 2024 ATP Challenger Tour. It took place at the Park Tenisowy Olimpia in Poznań, Poland from 17 to 22 June 2024.

Park Tenisowy Olimpia
The Park Tenisowy Olimpia is a tennis complex in Poznań, Poland, owned by the city since November 2013. It is the host of the annual ATP Challenger Tour stop, the Poznań Open. The complex consist of two show courts (Kort Centralny and Kort nr 1), three ground courts and five indoor courts.

Main Court (Kort Centralny) holds approximately 1,500 spectators (including places on VIP lounge), and Grandstand (Kort nr 1) holds 720 spectators. During the tournaments the Main Court is upgraded by around 250 seats due to installation of the temporary stand, opposite to the VIP lounge.
Griebelschied
Griebelschied is an Ortsgemeinde – a municipality belonging to a Verbandsgemeinde, a kind of collective municipality – in the Birkenfeld district in Rhineland-Palatinate, Germany. It belongs to the Verbandsgemeinde Herrstein-Rhaunen, whose seat is in Herrstein.

Birkenfeld (district)
Birkenfeld (German pronunciation: [ˈbɪʁkŋ̍fɛlt]) is a district (Landkreis) in Rhineland-Palatinate, Germany. Its seat is the town of Birkenfeld. It is bounded by (from the south and clockwise) the districts of Sankt Wendel (Saarland), Trier-Saarburg, Bernkastel-Wittlich, Rhein-Hunsrück, Bad Kreuznach and Kusel.
Outline of adoption
The following outline is provided as an overview of and topical guide to adoption:

Adoption – process whereby a person assumes the parenting for another and, in so doing, permanently transfers all rights and responsibilities from the original parent or parents. Adopters assume parenting responsibilities by a legal process.

Embryo donation
Embryo donation is one disposition option for users of in vitro fertilisation with remaining fresh or frozen embryos. It is defined as the giving—generally without compensation—of  embryos remaining after in vitro fertilization procedures to recipients for procreative implantation or research. Most IVF users with supernumerary embryos make embryo donation decisions after completing their families or discontinuing use of in vitro fertilization. Recipients of embryos donated for procreative implantation typically plan to transfer fresh or frozen embryos into a prepared uterus in order to facilitate pregnancy and childbirth. Recipients of embryos donated for research typically use them for clinical training, quality improvement research, or human embryonic stem cell research.
Orkdalen
Orkdalen (English: the Orkla Valley) is a valley and a traditional Norwegian district in Trøndelag county, Norway. In the early Viking Age, before King Harald Fairhair, the Orkla Valley was also a petty kingdom.

The valley begins in the high Dovrefjell mountains and creates a deep, narrow valley. As the river progresses, the valley widens and flattens out. From Rennebu northwards, the valley is fairly heavily populated with good farmland. At the mouth of the river (the north end of the valley) is the town of Orkanger, the largest population centre in the valley.

The district encompasses Rennebu Municipality and Orkland Municipality, both of which surround the Orkla River in the valley. Oppdal Municipality and Skaun Municipality are often traditionally counted as a parts of the district also even though they lie outside the actual valley of the river Orkla. The river itself actually begins in Oppdal Municipality and then winds its way north to the Trondheimsfjord.

Orkanger
Orkanger is a town and the administrative centre of Orkland Municipality in Trøndelag county, Norway. The town sits at the end of the Orkdal Fjord, an arm of the Trondheimsfjord. Orkanger is the commercial centre of Orkland Municipality and it is the site of the Orkanger Church. It was established as a "town" in 2014.

Combined with the neighbouring suburban village of Fannrem, the conurbation constitutes one of the largest urban areas in Trøndelag county. The 6.26-square-kilometre (1,550-acre) town has a population (2018) of 8,204 and a population density of 1,311 inhabitants per square kilometre (3,400/sq mi).
Sentencing (The Wire)
"Sentencing" is the 13th episode and finale of the first season of the HBO original series The Wire. The episode was written by David Simon and Ed Burns and was directed by Tim Van Patten. It originally aired on September 8, 2002.

Omar Little
Omar Devone Little is a fictional character on the HBO crime drama series The Wire, portrayed by Michael K. Williams. He is a notorious Baltimore stick-up man who frequently robs street-level drug dealers. He is legendary around the inner city for his characteristic duster, under which he hides his shotgun, large caliber handgun, and bulletproof vest, as well as for his facial scar and his whistling of "A-Hunting We Will Go" (a.k.a. "The Farmer in the Dell") when stalking targets. Omar's homosexual character is based on the heterosexual Baltimore area robber and hitman Donnie Andrews. Andrews served 18 years in prison after murdering a drug dealer. Andrews was married to Francine Boyd, who inspired the miniseries The Corner on HBO. Both the character and Williams's performance have received critical acclaim, with Omar frequently being mentioned as one of the greatest and most iconic television characters of all time.
2011 Tour de Wallonie
The 2011 Tour de Wallonie was the 38th edition of the Tour de Wallonie cycle race and was held on 23–27 July 2011. The race started in Amay and finished in Thuin. The race was won by Greg Van Avermaet.

Tour de Wallonie
The Tour de Wallonie is a stage race cycling race on the UCI Europe Tour. It runs in Wallonia, the French-speaking part of Belgium at the end of July. Between 1974 and 1995, it was reserved to amateurs. Since 2005, the race has been organized as a 2.HC event on the UCI Europe Tour. The race became part of the UCI ProSeries in 2020.
RK Metalurg Skopje
RK Metalurg Skopje (Macedonian: РК Металург Скопје) is a Macedonian handball club based in Skopje. They compete in the domestic Macedonian Handball First League, and have competed in the EHF Champions League.

Handball Cup of North Macedonia
The Handball Cup of North Macedonia (Macedonian: Ракометен куп на Македонија), is an elimination handball tournament held annually. It is the second most important national title in Macedonian handball after the Macedonian First League of Handball. Currently, RK Vardar holds the record for most titles won with 17.
New Al Mirqab
New Al Mirqab (Arabic: المرقاب الجديد, romanized: Al-Mirqāb al-Jadīdah; also referred to as Al Mirqab Al Jadeed) is a district in Qatar, located in the municipality of Doha.

Together with Al Sadd and Fereej Al Nasr, it makes up Zone 39 which has 23,853 people in it.

Fereej Al Nasr (Doha)
Fereej Al Nasr (Arabic: فريج النصر, romanized: Farīq an Naşr; also referred to simply as Al Nasr) is a district in Qatar, located in the municipality of Doha.

Al Nasr Street, one of the main roads that runs through the district, is locally known for its high density of commercial establishments. Among its occupants are Doha Clinic Hospital which is the first private hospital in Qatar as well as barber shops, tailors, electronics shops, and stationery supplies shops. Several international restaurants are found on the street.
Tyń
Tyń (Polish pronunciation: [tɨɲ]; German: Thyn) is a village in the administrative district of Gmina Postomino, within Sławno County, West Pomeranian Voivodeship, in north-western Poland. It lies approximately 5 km (3 mi) south of Postomino, 11 km (7 mi) north of Sławno, and 183 km (114 mi) north-east of the regional capital Szczecin.

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

Postomino
Postomino (Polish pronunciation: [pɔstɔˈminɔ]; German: Pustamin) is a village in Sławno County, West Pomeranian Voivodeship, in north-western Poland. It is the seat of the gmina (administrative district) called Gmina Postomino. It lies approximately 15 km (9 mi) north of Sławno and 184 km (114 mi) north-east of the regional capital Szczecin.

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

The village has a population of 625.