hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Faulhaber's formula
In mathematics, Faulhaber's formula, named after the early 17th century mathematician Johann Faulhaber, expresses the sum of the th powers of the first  positive integers

as a polynomial in . In modern notation, Faulhaber's formula is

Here,  is the binomial coefficient " choose ", and the  are the  second Bernoulli numbers, identical to the first ones except for .

Arithmetic progression
An arithmetic progression, arithmetic sequence or linear sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression. For instance, the sequence 5, 7, 9, 11, 13, 15, ... is an arithmetic progression with a common difference of 2.

If the initial term of an arithmetic progression is  and the common difference of successive members is , then the -th term of the sequence () is given by

A finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression. The sum of a finite arithmetic progression is called an arithmetic series.
Wexford GAA
The Wexford County Board of the Gaelic Athletic Association (GAA) (Irish: Cumann Luthchleas Gael Coiste Chontae Loch Garman) or Wexford GAA is one of the 32 county boards of the GAA in Ireland, and is responsible for Gaelic games in County Wexford. The county board is also responsible for the Wexford county teams.

Wexford is one of the few counties to have won the All-Ireland Senior Championship in both football and hurling.

The county hurling team last won the All-Ireland Senior Hurling Championship in 1996.

The county football team has won five All-Ireland Senior Football Championships, with the most recent win achieved in 1918.

Wexford county football team
The Wexford county football team represents Wexford in men's Gaelic football and is governed by Wexford GAA, the county board of the Gaelic Athletic Association. The team competes in the three major annual inter-county competitions; the All-Ireland Senior Football Championship, the Leinster Senior Football Championship and the National Football League.

Wexford's home ground is Wexford Park, Wexford. The team's manager is John Hegarty.

The team last won the Leinster Senior Championship in 1945, the All-Ireland Senior Championship in 1918 and has never won the National League.
Mougins
Mougins (French pronunciation: [muʒɛ̃] ⓘ; Occitan: Mogins [muˈʒis]; Latin: Muginum [muːˈɡiːnũː]) is a commune in the Alpes-Maritimes department in the region of Provence-Alpes-Côte d'Azur, Southeastern France.

It is located on the heights of Cannes, in the arrondissement of Grasse. Mougins is a 15-minute drive from Cannes. The town is surrounded by forests, most notably the Valmasque forest. In the town there are pines, olives and cypress trees.

Roger Vergé
Roger Vergé (French pronunciation: [ʁɔʒe vɛʁʒe]; 7 April 1930 – 5 June 2015) was a French chef and restaurateur. He is considered one of the greatest chefs of his time. The Gault Millau described him as "the very incarnation of the great French chef for foreigners".
Evidently Chickentown
"Evidently Chickentown" is a poem by the English performance poet John Cooper Clarke. It was recorded and released as a track on Clarke's 1980 album Snap, Crackle & Bop. It became widely known internationally after being used in an episode of the HBO series The Sopranos in April 2007, and has appeared in several other films and TV series.

John Cooper Clarke
John Cooper Clarke (born 25 January 1949), also known as JCC and "The Bard of Salford", is an English performance poet and comedian who was often referred to as a "punk poet" in the late 1970s. In the late 1970s and early 1980s, he released several albums and performed on stage with punk and post-punk bands and has continued to write and perform since. The title of his first poetry anthology, Ten Years in an Open Necked Shirt, published in 1982, was also used for a documentary film about him in the same year.

Clarke has been an influence on many later artists, including The Arctic Monkeys. In 2013, he was presented with an honorary doctorate by the University of Salford. As of 2025 he has released three anthologies of poetry and a memoir, as well as many albums and singles, and continues to perform regularly.
Lev Perovski
Count Lev Alekseyevich von Perovski (Russian: Лев Алексе́евич Перо́вский, also transliterated as Perofsky, Perovskii, Perovskiy, Perovsky, Perowski, and Perowsky; also credited as L.A. Perovski) (9 September 1792 – 21 November 1856) was a Russian nobleman and mineralogist who also served as Minister of Internal Affairs under Nicholas I of Russia.

In 1845, he proposed the creation of the Russian Geographical Society.

The mineral perovskite is named after him.

Perovskite
Perovskite (pronunciation: /pəˈrɒvskaɪt/) is an orthorhombic calcium titanium oxide mineral composed of calcium titanate (chemical formula CaTiO3). Its name is also applied to the class of compounds which have the same type of crystal structure as CaTiO3, known as the perovskite structure, which has a general chemical formula A2+B4+(X2−)3 for chalcogen (group 16) perovskites, or A1+B2+(X1−)3 for the halogen (group 17) perovskites (the kind typically found in modern photovoltaics like photodiodes and solar panels). Many different cations can be embedded in this structure, allowing the development of diverse engineered materials.
The Comrads
The Comrads was American gangsta rap duo from Lynwood, California, composed of Kelly "K-Mac" Garmon and Terrell "Gangsta" Anderson. The pair made a major splash in the Los Angeles area in the summer of 1997 with the single "Homeboyz" from their self-titled debut album. The duo signed with Mack 10's Hoo-Bangin' Records and released their sophomore studio album Wake Up & Ball in 2000.

After the group split, K-Mac joined Mack 10's supergroup Da Hood to release Mack 10 Presents da Hood in 2002. Gangsta has released his solo album Penitentiary Chances via Heat Rocc Entertainment in 2003.

Wake Up & Ball
Wake Up & Ball is the second and final studio album by American West Coast hip hop duo The Comrads. It was released on June 27, 2000, via Hoo-Bangin'/Priority Records. Production was handled by Binky Mack, Fredwreck, Young Tre, DJ BattleCat, Meech Wells, Keith Clizark, Ant Banks, VMF and the Comrads' Terrell "Gangsta" Anderson. It features guest appearances from Krayzie Bone, Mack 10, MC Eiht and Snoop Dogg. The album peaked at #153 on the Billboard 200 albums chart in the United States.
Togo, Miyazaki
Tōgō (東郷町, Tōgō-chō) was a town located in Higashiusuki District, Miyazaki Prefecture, Japan.

As of 2003, the town had an estimated population of 5,025 and the density of 22.97 persons per km2. The total area was 218.73 km2.

On February 25, 2006, Tōgō was merged into the expanded city of Hyūga and no longer exists as an independent municipality.

Tōgō literally means "east shire". This town was an eastern quarter of so-called Irigo (literally Inlands Shire) area.

Hyūga, Miyazaki
Hyūga (日向市, Hyūga-shi) is a city in Miyazaki Prefecture, Japan.  As of 1 October 2023, the city had an estimated population of 57,746, and a  population density of 170 persons per km².,  making it the 4th largest city in Miyazaki Prefecture in terms of population. The total area of the city is 336.94 km2 (130.09 sq mi). Hyūga is a port city known for the production of Go stones and for beaches, many of which are popular surfing spots.
Adah, Pennsylvania
Adah is an unincorporated community in German Township, Fayette County in the U.S. state of Pennsylvania.  It is known as a patch town as it was created to support a coal mine.  Adah is the home of the Palmer Mine, one of Henry Clay Frick's holdings. It is also the birthplace of boxer Tommy Karpency, a contender in the light heavyweight division.

Tommy Karpency
Thomas Karpency (born January 10, 1986) is an American professional boxer who fights in the light heavyweight division. A professional since 2006, he is a three-time world title challenger; first challenging for the WBO and IBO light heavyweight titles in 2012, as well as the WBC light heavyweight title in 2015. He holds a notable upset win over former IBF and WBC title holder Chad Dawson.
A Kandahar Away
A Kandahar Away is a Canadian documentary film, directed by Aisha Jamal and released in 2019. Centred on her own family, who came to Canada as refugees from Kandahar, Afghanistan during the War in Afghanistan, the film documents a family trip to Kandahar, Saskatchewan, where her father Abdul has purchased plots of land for his children as a way to give them back a small piece of their heritage.

The film premiered at the 2019 Hot Docs Canadian International Documentary Festival. and later received a television broadcast on Documentary.

The film was longlisted for the 2019 DGC Discovery Award.

Kandahar, Saskatchewan
Kandahar is a special service area in Rural Municipality of Big Quill No. 308, Saskatchewan, Canada. Listed as a designated place by Statistics Canada, the community had a population of 20 in the Canada 2016 Census. Located on Highway 16 near Wynyard, the community was named by Canadian Pacific Railway executives in the 1909 for a British military victory by General Roberts in Kandahar, Afghanistan. Kandahar is too small to be enumerated on its own, so its population belongs to the RM of Big Quill No. 308. It is located near the southern shore of Big Quill Lake, the largest inland body of salt water in Canada.
Davao de Oro
Davao de Oro, officially the Province of Davao de Oro (Cebuano: Lalawigan sa Davao de Oro; Filipino: Lalawigan ng Davao de Oro), is a province in the Philippines located in the Davao Region in Mindanao. Its capital is Nabunturan while Monkayo is the most populous. It used to be part of the province of Davao del Norte until it was made a separate province in 1998.

The province borders Davao del Norte to the west, Agusan del Sur to the north, and Davao Oriental to the east. To the southwest lies the Davao Gulf. The first elected governor was Jose Caballero, formerly a lawyer for a mining group in the province. It was formerly known as Compostela Valley (shortened to ComVal; Cebuano: Kawalogang Kompostela) from its inception until December 2019, when a plebiscite ratified the law that proposed to rename the province to Davao de Oro.

Hugpong ng Pagbabago
Hugpong ng Pagbabago (HNP, lit. 'Alliance of Change') is a regional political party and former political alliance in the Philippines. Formed in 2018 by Sara Duterte, the party was established in support of President Rodrigo Duterte's administration, and was the administration electoral alliance for the 2019 Philippine general election.

In the 2022 Philippine presidential election, the party supported the candidacies of Bongbong Marcos and Sara Duterte for the Philippine presidency and vice presidency, respectively, under the UniTeam alliance.
Pointman
Pointman is a TV movie pilot and TV series on the Prime Time Entertainment Network in 1995. The main character was framed and convicted of fraud while he was an investment banker. Eventually cleared, Constantine 'Connie' Harper helps others while running a coastal resort. The hotel, pool, and marina scenes in the pilot episode were filmed at the South Shore Harbour Resort & Conference Center and adjacent South Shore Harbour Marina in League City, Texas.  The series was filmed in Jacksonville, Florida.

Jack Scalia
Jack Scalia (born November 10, 1950) is an American actor. Scalia is perhaps best known for his frequent appearances in prime-time television series (both as a regular and as a guest-star) and television movies in the 1980s and 1990s, as well as feature films.
Trần Ngọc Lan Khuê
Trần Ngọc Lan Khuê is a Vietnamese model and beauty pageant titleholder. Lan Khuê won the gold award at Vietnam supermodel 2013. In 2014, she won Miss Aodai Vietnam (the previous name of Miss World Vietnam). Then represented Vietnam at Miss World 2015 and reached the top 11. She then became one of the mentors in the reality show The Face Vietnam. Lan Khuê is the CEO of Elite Model Management, Elite Vietnam in Ho Chi Minh City, and the managing editor of L'Officiel Vietnam.

Miss World Vietnam
Miss World Vietnam (Vietnamese: Hoa hậu Thế giới Việt Nam) is a national beauty pageant held to select a representative of Vietnam to participate in the Miss World pageant, one of the four largest beauty pageants in the world. Besides, Vietnam also has Mr World Vietnam contest.

Vietnam first participated in Miss World 2002 and also successfully bid to host Miss World 2010 but later withdrew. The current titleholder is Huỳnh Trần Ý Nhi from Bình Định, who was crowned on July 22, 2023.

Miss Vietnam, Miss Cosmo Vietnam and Miss World Vietnam are the three biggest beauty pageants, given the surplus of beauty pageants in Vietnam.
John Hewson (artist)
John Hewson (1744 – 1821) was a textile artist. He trained in a cotton-printing factory in London, but moved to the United States on the advice of his friend Benjamin Franklin, and set up a calico printing factory in the Kensington neighborhood of Philadelphia, Pennsylvania. His chintzes were used in American quilts, often as the centerpiece. In November 2014, a DNA test revealed Hewson to be the paternal fifth great-grandfather of American actress and comedian Tina Fey.

He is interred at Palmer Cemetery in Philadelphia.

Palmer Cemetery
Palmer Cemetery, originally known as the Kensington Burial Grounds, was established around 1732 in the Fishtown section of Philadelphia.

The cemetery holds the remains of many of the original families of Kensington such as the Cramp and Shibe Families. There are veterans of every war buried here, beginning with the American Revolutionary War. There are markers for veterans of the American Civil War, World War I, World War II, the Korean War and the Vietnam War.

The cemetery is also home to one of the first memorials to local World War I Veterans (1921). The exact number of burials is unknown, but it is estimated that 40,000 to 50,000 people are buried in Palmer Cemetery.  The cemetery is maintained by volunteer trustees who oversee its operation and preservation.

Palmer Cemetery is a 501c3 Non profit. All donation are used for the care and preservation of the historic grounds.
Kyrgyz-Gava Botanical Reserve
The Kyrgyz-Gava Botanical Reserve (Kyrgyz: Кыргыз-Гава ботаникалык заказниги, also Кыргызкаба Kyrgyzkaba) is located in Bazar-Korgon District of Jalal-Abad Region of Kyrgyzstan. It was established in 1975 with a purpose of conservation of endemic Juno magnifica. The botanical reserve occupies 50 hectares. It is located near the village Sary-Jayyk (formerly Kyrgyzkaba).

Jalal-Abad Region
Jalal-Abad (/dʒəˈlɑːl əˈbɑːd/; Kyrgyz: [dʒɑˌɫɑɫɑˈbɑt]) is a region (oblus) of Kyrgyzstan. Its capital is Manas. It is surrounded by (clockwise from the north) Talas Region, Chüy Region, Naryn Region, Osh Region, and Uzbekistan. Jalal-Abad Region was established on 21 November 1939. On 27 January 1959 it became a part of Osh Region, but regained its old status as a region on 14 December 1990. Its total area is 32,418 km2 (12,517 sq mi). The resident population of the region was 1,260,617 as of January 2021. The region has a sizeable Uzbek (24.8% in 2009) minority.
Midland Flyers
The Midland Flyers are a Canadian junior ice hockey team based in Midland, Ontario.  They play in the Provincial Junior Hockey League and were former members of the Georgian Mid-Ontario Junior C Hockey League.

Provincial Junior Hockey League
The Provincial Junior Hockey League (PJHL) is a Canadian junior ice hockey league spanning parts of Southern Ontario. The PJHL is the third tier of the Ontario Hockey Association and is sanctioned by the Ontario Hockey Federation and Hockey Canada. The league was formed in 2016 with the merging of eight Junior C leagues. PJHL teams compete for the Clarence Schmalz Cup.
Blake Coburn
Blake Peter Coburn (born 25 December 1995) is a New Zealand cricketer. He played for Canterbury from 2017–18 to 2022–23.

Coburn was born in Christchurch and educated there at Shirley Boys' High School. A left-arm wrist-spin bowler, he has an unusual bowling action: his torso rotates downward and his head gets below the horizontal when releasing the ball.

Coburn made his first-class debut for Canterbury in the 2017–18 Plunket Shield season on 23 October 2017. In November 2017, in his second match, he took 7 for 64 in the second innings to lead Canterbury to victory over Northern Districts by 8 runs. He made his Twenty20 debut for Canterbury in the 2017–18 Super Smash on 17 December 2017.

He made his List A debut for Canterbury in the 2018–19 Ford Trophy on 7 November 2018. After some time out of the Canterbury team, he was awarded a contract for the 2022–23 season.

Coburn announced his retirement from professional cricket in June 2023, aged 27.

2017–18 Super Smash
The 2017–18 Burger King Super Smash (named after the competition's sponsor Burger King) was the thirteenth season of the Men's Super Smash Twenty20 cricket tournament in New Zealand. The competition was run from 13 December 2017 to 20 January 2018. The Wellington Firebirds were the defending champions.

Following the completion of the round-robin fixtures, Northern Knights, Auckland Aces and Central Stags had qualified for the finals of the competition. Northern Knights  won the tournament after they beat Central Stags by nine wickets in the final.
Harry Charles
Harry Charles (born 15 July 1999) is a British show jumping competitor. He represented Great Britain at the 2020 Summer Olympics in Tokyo, competing in individual jumping and team jumping. Charles replaced Holly Smith in the individual competition. In December, 2021 Harry won the Taittinger Ivy Stakes CI5* class individual jumping event at the London International Horse Show, staged at the ExCel Centre in London's Docklands, riding 15 year old gelding, Borsato (Contendro 1 x Nijinski). In 2024 he was a member of the British team that won show jumping gold at the 2024 Paris Summer Olympics, riding Romeo 88. Charles competed with a strapped arm after suffering a fracture four weeks prior to the Olympics.

Equestrian at the 2024 Summer Olympics – Team jumping
The team show jumping event at the 2024 Summer Olympics took place on 1–2 August 2024. The event was won by the Great Britain team of Scott Brash, Harry Charles and Ben Maher, the third gold medal for Great Britain in the event. Brash and Maher had already been part of the second Great Britain gold medal team in 2012, along with Charles' father, Peter Charles (and Nick Skelton).

The American team won silver and the French bronze.
Islampur College
Islampur College, established in 1973, is the general degree college in Islampur, in the Uttar Dinajpur district. It offers Graduate courses in Arts, Commerce and Science. It is affiliated to University of North Bengal.

Uttar Dinajpur district
Uttar Dinajpur (Bengali pronunciation: [utːor dinad͡ʒpur]), also known as North Dinajpur, is one of the 23 districts of the state of West Bengal in India. The district is the part of Malda Division. Raiganj city is the headquarters of the district. This district bifurcated on 1 April 1992 from the erstwhile West Dinajpur district.
Philip of Spanheim
Philip of Spanheim (also Philip of Sponheim; died 22 July 1279) was a 13th century bishop who was

elected Archbishop of Salzburg (1247–1257) and Patriarch of Aquileia (1269–1271). He held the title of a Count of Lebenau (1254–1279) and was nominal Duke of Carinthia. With his death the senior line of the House of Sponheim came to an end.

Archdiocese of Salzburg
The Archdiocese of Salzburg (Latin: Archidioecesis Salisburgensis) is a Latin rite archdiocese of the Catholic Church, based in Salzburg, Austria. It serves as the leading diocese of the ecclesiastical province of Salzburg and is one of two Austrian archdioceses, alongside the Archdiocese of Vienna.

During the late medieval and early modern periods, the Archbishops of Salzburg held the title of prince-archbishops within the Holy Roman Empire, governing the Prince-Archbishopric of Salzburg—a distinct polity that lasted until 1803. That year, it was secularized and became the Electorate of Salzburg, ending the archbishops' temporal authority.
Joseph Sweens
Joseph Francis Marie Sweens (22 March 1858 – 12 April 1950), was a Dutch Roman Catholic missionary bishop who served as the Vicar Apostolic of South Nyanza in German East Africa, later in the British-administered Tanganyika Territory, now Tanzania.

Rubya
Rubya (or Rubyia) is the site of a Catholic Church mission to the south of Bukoba near the west bank of Lake Victoria in Muleba District, Kagera Region, Tanzania.
A seminary was established at Rubya in 1904, one of the first in German East Africa, as it then was. The seminary still operates. There is a cathedral, a nursing school and a district hospital, all operated by the church.
Suck (film)
Suck is a 2009 vampire black comedy horror film starring, written and directed by Rob Stefaniuk. Stefaniuk stars alongside Canadian actress Jessica Paré, Nicole de Boer (Stefaniuk's castmate from the TV series Catwalk), Malcolm McDowell and rock artists Alice Cooper, Iggy Pop, Henry Rollins and Alex Lifeson of Rush. Production took place in and around Toronto in late 2008.

Burning Brides
Burning Brides was an American hard rock band. They were partially known for their live performances, such as selected dates as the opening band for The White Stripes in 2000. In 2002 they toured with …And You Will Know Us by the Trail of Dead and Queens of the Stone Age, in 2003 with Audioslave, in 2004 with A Perfect Circle, in 2005 with Mastodon, and in 2006 with Eagles of Death Metal and Peaches. They also opened for both Melvins and Marilyn Manson in their home town of Philadelphia, Pennsylvania.
The Indian Love Lyrics
The Indian Love Lyrics is a 1923 British silent romantic drama film directed by Sinclair Hill and starring Catherine Calvert, Owen Nares and Malvina Longfellow. It is based on the poem The Garden of Kama by Laurence Hope. The film's sets were designed by art director Walter Murton.

In India, a princess disguises herself as a commoner to escape an arranged marriage.

Walter Murton
Walter Murton was a British art director, who worked from the 1920s until the 1940s. During his early career in the 1920s Murton was the regular set designer on the silent film series The Further Adventures of Sherlock Holmes and The Mystery of Dr. Fu Manchu.

Along with Clifford Pember, Murton was identified as part of an "old guard" resisting change in British set design sought by younger set designers and by German immigrants. During his later career Murton worked for Gainsborough Pictures. His final film was the influential Gainsborough Melodrama The Man in Grey (1943). His son Peter Murton was also an art director.
Gottleuba
The Gottleuba (German pronunciation: [ˈɡɔtlɔʏba]; Czech: Rybný potok) is a small river in the Czech Republic and in Saxony, Germany. It is a left tributary of the Elbe.

The Gottleuba's source is in the eastern part of the Ore Mountains in Krásný Les within the municipality of Petrovice. After a few km, it crosses the Czech-German border and flows the rest of its 34 km (21 mi) in Saxony. It passes the Gottleuba Dam and the town Bad Gottleuba-Berggießhübel, and flows into the Elbe in Pirna. In July 1927, there was a flash flood in the river due to heavy rain.

Bad Gottleuba-Berggießhübel
Bad Gottleuba-Berggießhübel (German pronunciation: [baːt ˈɡɔtlɔʏba ˈbɛʁkɡiːsˌhyːbl̩] ⓘ) is a spa town in the district Sächsische Schweiz-Osterzgebirge in Saxony, in eastern Germany. The municipality borders the Czech Republic in the south. The municipality was formed on 1 January 1999 by the merger of the former municipalities Bad Gottleuba, Berggießhübel, Langenhennersdorf, and Bahratal. Surrounded by forests and near a water dam, Bad Gottleuba-Berggießhübel has several facilities including a spa health park, a plant garden, and a heated open air pool.