hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Correlation inequality
A correlation inequality is any of a number of inequalities satisfied by the correlation functions of a model. Such inequalities are of particular use in statistical mechanics and in percolation theory.

Examples include:

Bell's inequality

FKG inequality

Griffiths inequality, and its generalisation, the Ginibre inequality

Gaussian correlation inequality

FKG inequality
In mathematics, the Fortuin–Kasteleyn–Ginibre (FKG) inequality is a correlation inequality, a fundamental tool in statistical mechanics and probabilistic combinatorics (especially random graphs and the probabilistic method), due to Cees M. Fortuin, Pieter W. Kasteleyn, and Jean Ginibre (1971). Informally, it says that in many random systems, increasing events are positively correlated, while an increasing and a decreasing event are negatively correlated. It was obtained by studying the random cluster model.

An earlier version, for the special case of i.i.d. variables, called Harris inequality, is due to Theodore Edward Harris (1960), see below. One generalization of the FKG inequality is the Holley inequality (1974) below, and an even further generalization is the Ahlswede–Daykin "four functions" theorem (1978). Furthermore, it has the same conclusion as the Griffiths inequalities, but the hypotheses are different.
The Outfield (film)
The Outfield is an American sports comedy-drama film written by Lydia Genner and directed by Michael Goldfine & Eli Gonda. The film stars Nash Grier, Cameron Dallas, and Joey Bragg.

The film was released through video on demand on November 10, 2015, by Fullscreen Films.

Cameron Dallas
Cameron Alexander Dallas (born September 8, 1994) is an American social media personality, actor, and singer. He is best known for his prominence on the video applications Vine and YouTube. Dallas starred in two films in 2014 and 2015, Expelled and The Outfield. In 2016, Cameron starred on his Netflix reality show, Chasing Cameron, which followed him on his singing tour of Europe. In 2020, he assumed the role of Aaron Samuels in the musical adaptation of Mean Girls. In September 2020, he released Dear Scarlett, his first album.
1920 Minnesota gubernatorial election
The 1920 Minnesota gubernatorial election took place on November 2, 1920. Republican Party of Minnesota candidate J. A. O. Preus defeated Independent challenger's Henrik Shipstead and the Mayor of St. Paul, Laurence C. Hodgson. Shipstead narrowly lost to Preus in the Republican primary of that year and challenged him in the general, beating the Democratic nominee but coming far short of winning the general.

Shipstead would soon join the Farmer–Labor Party, which did not officially participate in this election, and would become the first party member to win statewide under that banner as Senator in 1922. The Farmer–Laborites would also become the main opposition party, replacing the Democrats, displacing them until the two parties' political union into the DFL in the 1944.

Henrik Shipstead
Henrik Shipstead (January 8, 1881 – June 26, 1960) was a Norwegian-American dentist and politician who served in the United States Senate from 1923 to 1947, representing the state of Minnesota. He served first as a member of the Minnesota Farmer-Labor Party from 1923 to 1941 and then as a Republican from 1941 to 1947.

Few members of Congress in American history were more consistent in opposing US foreign interventionism, despite not believing himself to be an isolationist and voting in favor of declaring war on Japan after the attack on Pearl Harbor. He is also noted for his antisemitism and support of anti-Jewish conspiracy theories.
Homeland (Salvatore novel)
Homeland is a fantasy novel by American writer R. A. Salvatore, the first book in The Dark Elf Trilogy, a prequel to The Icewind Dale Trilogy. It follows the story of Drizzt Do'Urden from the time and circumstances of his birth and his upbringing amongst the drow (dark elves).

The book takes the reader into Menzoberranzan, the city of drow that is Drizzt's homeland. From here, the reader follows Drizzt on his quest to follow his principles  in the cruel and competitive society of his underground homeland where such feelings are threatened.

Menzoberranzan
Menzoberranzan, the "City of Spiders", is a fictional city-state in the world of the Forgotten Realms, a Dungeons & Dragons campaign setting. The city is located in the Upper Northdark, about two miles below the Surbrin Vale, between the Moonwood and the Frost Hills (north of the Evermoors and under the River Surbin). It is famed as the birthplace of Drizzt Do'Urden, the protagonist of several series of best-selling novels by noted fantasy author R. A. Salvatore. Menzoberranzan has been developed into a video game (of the same name) and a tabletop RPG setting.
John Hawley (priest)
John Andrew Hawley (born 27 April 1950) was the Archdeacon of Blackburn  from 2002 until 2015.

He was educated at Ecclesfield Grammar School and King's College London, trained at Wycliffe Hall, Oxford and was ordained in 1976 After curacies in Hull and Bradford he was Vicar of All Saints, Doncaster then Team Rector of Dewsbury until his appointment as Archdeacon of Blackburn.

Archdeacon of Blackburn
The Archdeacon of Blackburn is a senior ecclesiastical officer within the Diocese of Blackburn. Originally created on 17 August 1877 within the Diocese of Manchester, the office became a part of the new Diocese of Blackburn upon its creation on 12 November 1926.

As archdeacon she or he is responsible for the disciplinary supervision of the clergy within the seven area deaneries: Accrington, Blackburn with Darwen, Burnley, Chorley, Leyland, Pendle and Whalley.
Grane Municipality
Graneⓘ is a municipality in Nordland county, Norway. It is part of the Helgeland traditional region. The administrative centre of the municipality is the village of Trofors. There are several other villages in the municipality including Fallmoen, Grane, Leiren, Majavatn, and Strendene. The European route E6 highway and the Nordland Line railway both run through the municipality from south to north.

The 2,004-square-kilometre (774 sq mi) municipality is the 37th largest by area out of the 357 municipalities in Norway. Grane Municipality is the 304th most populous municipality in Norway with a population of 1,447. The municipality's population density is 0.7 inhabitants per square kilometre (1.8/sq mi) and its population has decreased by 1.2% over the previous 10-year period.

Vefsn Municipality
Vefsn (Southern Sami: Vaapste) is a municipality in Nordland county, Norway. It is part of the Helgeland traditional region. The administrative centre of the municipality is the town of Mosjøen (population: 9,843). Some of the notable villages in Vefsn include Drevvassbygda, Elsfjord, and Husvik.

The 1,929-square-kilometre (745 sq mi) municipality is the 41st largest by area out of the 357 municipalities in Norway. Vefsn Municipality is the 91st most populous municipality in Norway with a population of 13,469. The municipality's population density is 7 inhabitants per square kilometre (18/sq mi) and its population has increased by 1.4% over the previous 10-year period.
Perfluorooctanesulfonic acid
Perfluorooctanesulfonic acid (PFOS) (conjugate base perfluorooctanesulfonate) is a chemical compound having an eight-carbon fluorocarbon chain and a sulfonic acid functional group, and thus it is a perfluorosulfonic acid and a perfluoroalkyl substance (PFAS). It is an anthropogenic (man-made) fluorosurfactant, now regarded as a global pollutant. PFOS was the key ingredient in Scotchgard, a fabric protector made by 3M, and related stain repellents. The acronym "PFOS" refers to the parent sulfonic acid and to various salts of perfluorooctanesulfonate. These are all colorless or white, water-soluble solids. Although of low acute toxicity, PFOS has attracted much attention for its pervasiveness and environmental impact. It was added to Annex B of the Stockholm Convention on Persistent Organic Pollutants in May 2009.

Scotchgard
Scotchgard is a 3M brand of stain repellent and durable water repellent applied to fabrics, upholstery, and carpets to protect them from stains. Scotchgard products typically are based on organofluorine chemicals dissolved in a petroleum distillate solvent.
KiHa 283 series
The KiHa 283 series (キハ283系) is a tilting diesel-hydraulic multiple unit (DMU) train type operated by Hokkaido Railway Company (JR Hokkaido) on limited express services in Hokkaido, Japan, since 1997. They were based on the KiHa 281 series trains introduced in 1994.

Ōzora (train)
The Ōzora (おおぞら) is a limited express train service between Sapporo and Kushiro in Hokkaido, Japan, operated by Hokkaido Railway Company (JR Hokkaido). There are six trains per day running in both directions, with the fastest journeys taking 3 hours 58 minutes.
Thunder Force (film)
Thunder Force is a 2021 American superhero comedy film written and directed by Ben Falcone, and starring Melissa McCarthy, Octavia Spencer, Bobby Cannavale, Pom Klementieff, Taylor Mosby, with Melissa Leo, and Jason Bateman. It is the fifth collaboration between McCarthy and her husband Falcone, and follows two childhood friends who invent a way to become superheroes in a world where criminals have developed superpowers.

The film was digitally released by Netflix on April 9, 2021. It received generally negative reviews from critics.

Ben Falcone
Benjamin Scott Falcone (born August 25, 1973) is an American actor, comedian and  filmmaker. He is married to actress Melissa McCarthy, with whom he frequently collaborates. Falcone made his directorial debut in 2014 with Tammy, which he co-wrote with McCarthy, and he also directed, co-wrote, and produced The Boss, Life of the Party, Superintelligence, and Thunder Force, all of which starred McCarthy. In 2022, Falcone created and starred in the Netflix series God's Favorite Idiot.

He has had cameos in Bridesmaids, Identity Thief, The Heat, Spy, Can You Ever Forgive Me?, and  Nine Perfect Strangers, all of which starred his wife.
Alastair Cutting
Alastair Murray Cutting (born 29 May 1960) is a British Anglican bishop. Since July 2024, he has been Bishop of Woolwich, an area bishop in the Church of England's Diocese of Southwark. From 2013 to 2024, he has served as the Archdeacon of Lewisham & Greenwich. He was consecrated as Bishop of Woolwich on July 3 2024 in Southwark Cathedral.

Bishop of Woolwich
Christianity portal

The Bishop of Woolwich is an episcopal title used by an area bishop of the Church of England Diocese of Southwark, in the Province of Canterbury, England.

The title takes its name after Woolwich, a suburb of the Royal Borough of Greenwich. Two of the best known former bishops are John A. T. Robinson, who was a major figure in Liberal Christianity, and David Sheppard, the former Sussex and England cricketer who went on to become the Anglican Bishop of Liverpool. The bishops suffragan of Woolwich have been area bishops since the Southwark area scheme was founded in 1991. The current bishop is Alastair Cutting, since his consecration on 3 July 2024 at Southwark Cathedral.
Hans Tetzner
Johannes Cornelis "Hans" Tetzner (9 June 1898 – 17 February 1987) was a Dutch association football defender and medical doctor. He was part of the Dutch team that finished fourth at the 1924 Summer Olympics. Between 1915 and 1926 he played for Be Quick 1887, winning nine Northern Dutch titles and one national title in 1920.

Hans Tetzner had an elder brother Max; they competed alongside both in football and speed skating. Hans also played tennis, once reaching the semifinals of the Dutch national doubles championships. He later became a prominent surgeon and served as a doctor for the football club AFC Ajax and for the 1936 Dutch Olympic cycling team. In the 1960s he was a regular guest at the television show Wie van de Drie?

Max Tetzner
Max Tetzner (25 September 1896 – 7 November 1932) was a Dutch footballer and speed skater. He played in three matches for the Netherlands national football team from 1921 to 1922. With his club Be Quick he won the Dutch national championship in 1920. His younger brother Hans was a member of the same team.

Max Tetzner was also successful as a speed skater. He became Dutch champion in 1919 and in 1922. In the last championship, held in his hometown of Groningen, he won all four distances.

He studied medicine and became a physician. He died of an infection at the age of 36.
Peebles Rovers F.C.
Peebles Rovers Football Club is a Scottish football club based in Peebles, Scottish Borders. Originally founded in 1888 as Greenside Rovers, the club changed their name to Peebles Rovers in May 1890. This is at odds with the official date of 1893 which appears to be based upon what was written in a newspaper article in 1947. They play their home matches at Whitestone Park. The club are members of the East of Scotland Football League, in the seventh tier of the Scottish football league system. They were briefly members of the Scottish Football League, between 1923 and 1926.

East of Scotland Football League
The East of Scotland Football League (EoSFL) is a senior football league based in the east and south-east of Scotland. The league sits at levels 6–9 on the Scottish football league system, acting as a feeder to the Lowland Football League.

Founded in 1923, it is currently composed of 59 member clubs competing in four divisions. Traditionally clubs were located in Edinburgh, Lothians and the Scottish Borders however in the 2010s the league expanded north and now also includes clubs from Clackmannanshire, Falkirk, Fife, Stirling, and Perth.

Since 2014–15 it has featured in the senior pyramid system. The winners take part in an end of season promotion play-off with the South of Scotland Football League and West of Scotland Football League champions, subject to clubs meeting the required licensing criteria.
Rudolf II, Margrave of Hachberg-Sausenberg
Margrave Rudolf II of Hachberg-Sausenberg (medieval: Rudolf II of Hachberg-Susenberg) (1301–1352) was the son of Margrave Rudolf I of Hachberg-Sausenberg and his wife Agnes, the heiress of Otto of Rötteln.  After their elder brother Henry died in 1318, Rudolf II and his younger brother Otto I took up government in Rötteln and Sausenberg.  They moved their seat of government from Sausenburg Castle to Rötteln Castle.  In the fall of 1332, troops from the City of Basel besieged Rötteln Castle, because one of the brothers had stabbed the mayor of Basel.  The conflict was settled after mediation by the nobility of the city and the margraviate.

Henry, Margrave of Hachberg-Sausenberg
Henry, Margrave of Hachberg-Sausenberg (1300-1318) was the son of Margrave Rudolf I of Hachberg-Sausenberg and his wife Agnes, who was the daughter and heiress of Otto of Rötteln.  In 1312, when he was still a minor, he inherited his father's possessions.  After he came of age in 1315, his uncle Lüthold II of Röttlen gave him the Lordship of Rötteln.  Lüthold II died in 1316.

Henry died young, in 1318, at the age of 18.  After his death, his younger brothers Rudolf II and Otto took up the reign of the Lordships Rötteln and Sausenberg.
Sri Lankan elephant
The Sri Lankan elephant (Elephas maximus maximus) is native to Sri Lanka and one of three recognised subspecies of the Asian elephant. It is the type subspecies of the Asian elephant and was first described by Carl Linnaeus under the binomial Elephas maximus in 1758.
The Sri Lankan elephant population is now largely restricted to the dry zone in the north, east and southeast of Sri Lanka. Elephants are present in Udawalawe National Park, Yala National Park, Lunugamvehera National Park, Wilpattu National Park and Minneriya National Park but also live outside protected areas. It is estimated that Sri Lanka has the highest density of elephants in Asia. Human-elephant conflict is increasing due to conversion of elephant habitat to settlements and permanent cultivation.

Udawalawe National Park
Udawalawe National Park is a national park on the boundary of Sabaragamuwa and Uva Provinces in Sri Lanka. The park was created to provide a sanctuary for wild animals displaced by the construction of the Udawalawe Reservoir on the Walawe River, as well as to protect the catchment of the  reservoir. The reserve covers 30,821 hectares (119.00 mi2) of land area and was established on 30 June 1972.

Before the designation of the national park, the area was used for shifting cultivation (chena farming). The farmers were gradually removed once the national park was declared. The park is 165 kilometres (103 mi) from Colombo. Udawalawe is an important habitat for water birds and Sri Lankan elephants. It is a popular tourist destination and the third-most visited park in the country.
Yukikaze (novel)
Yukikaze (戦闘妖精雪風, Sentō Yōsei Yukikaze; lit. Battle Fairy Yukikaze) is a Japanese military science fiction novel series, written by Chōhei Kambayashi. First published as a series of short stories, a collected bunkobon volume was released by Hayakawa Publishing in 1984. It was followed by two sequels, released in 1999 and 2009. A five-episode original video animation (OVA) series, produced by Gonzo and Bandai Visual, was released in Japan from August 2002 to August 2005.

The series is notable for its air combat scenes, which were created with the help of the Japan Air Self-Defense Force. The JASDF worked with the Gonzo production team by recording actual sounds of the F-15J Eagle and running test flights at Komatsu Air Base, and having discussions on air combat tactics.

In 1985, Yukikaze received the 16th Seiun Award for Best Japanese Long Work. The OVA series has twice won the Tokyo Anime Award for Original Video Animation in 2003 and 2006.

Tokyo Anime Award
The Tokyo Anime Awards started in 2002, but was named in 2005. The first, second and third award ceremonies were simply named 'Competition'. The award ceremonies were held at the Tokyo International Anime Fair (TAF) until 2013. In 2014, after the merger of the Tokyo International Anime Fair with the Anime Contents Expo and the formation of the AnimeJapan convention, the Tokyo Anime Awards was changed into a separate festival called Tokyo Anime Awards Festival (TAAF).

Notably, there are Open Entry Awards for amateur creators (the Grand Prize winner is awarded with one million yen). Though there are ten main judges, the total number of judges is over one hundred people. Various groups participate in judging the festival, such as anime studio staff members, professors of universities, as well as producers and chief editors of various magazines. (See also: Animation Kobe).
Sandman (Marvel Comics)
The Sandman (William Baker, a.k.a. Flint Marko) is a character appearing in American comic books published by Marvel Comics. A shapeshifter endowed through an accident with the ability to turn himself into sand, he started out as a recurring adversary to the superhero Spider-Man, but has redeemed himself over time, eventually becoming an antihero. The Sandman has also been an enemy of the Fantastic Four and is a founding member of the supervillain teams the Sinister Six and the Frightful Four.

The character has been adapted into various other media incarnations of Spider-Man, including films, television series, and video games. In live-action, he was portrayed by Thomas Haden Church in Spider-Man 3 (2007) and the Marvel Cinematic Universe (MCU) film Spider-Man: No Way Home (2021). An illusionary creature based on the Sandman appeared in the MCU film Spider-Man: Far from Home (2019). In 2009, the Sandman was ranked as IGN's 72nd Greatest Comic Book Villain of All Time.

Thomas Haden Church
Thomas Haden Church (born Thomas Richard McMillen; June 17, 1960) is an American actor. After starring in the 1990s sitcom Wings and playing the lead for two seasons in Ned & Stacey (1995–1997), Church became known for his film work, including his role of Lyle van de Groot in George of the Jungle (1997), his Academy Award–nominated performance in Sideways (2004), his role as the Marvel Comics villain Sandman in the superhero films Spider-Man 3 (2007) and Spider-Man: No Way Home (2021), as well as his starring roles in Over the Hedge (2006), Smart People (2008), Easy A (2010), We Bought a Zoo (2011), Max (2015), and Hellboy (2019). He also made his directorial debut with Rolling Kansas (2003). In 2023, he starred as antagonist Agent Stone in the post-apocalyptic action comedy series Twisted Metal.
South of the Border (Ed Sheeran song)
"South of the Border" is a song by English singer Ed Sheeran featuring American singer Camila Cabello and American rapper Cardi B. It was released on 12 July 2019 through Asylum and Atlantic Records, along with "Antisocial", as the sixth and seventh singles respectively from Sheeran's fourth studio album, No.6 Collaborations Project (2019).

The song was written by the artists alongside Pardison Fontaine, Steve Mac, and Fred Again, with the latter two producing it with Sheeran. It reached the top ten in eight countries and is certified Gold or higher in fifteen countries.

Antisocial (Ed Sheeran and Travis Scott song)
"Antisocial" is a song by English singer-songwriter Ed Sheeran and American rapper and singer Travis Scott. It was released on 12 July 2019 through Asylum and Atlantic Records, along with "South of the Border", as the sixth and seventh singles respectively from Sheeran's fourth studio album, No.6 Collaborations Project (2019).
8th Infantry Division (India)
The 8th Mountain Division is a division of the present-day Indian Army that specialises in mountain warfare.

It was initially raised as the 8th Indian Infantry Division, an infantry division, in Meerut on 25 October 1940 under Major-General Charles Harvey, a British Indian Army officer, as part of the Indian Army during World War II. It served in the Middle East in the garrisoning of Iraq and then the invasion of Persia to secure the oil fields of the area for the Allies. A brigade was detached to the Western Desert to reinforce the British Eighth Army as it withdrew before the Axis forces. Following training in the Near East, the division entered the Italian Campaign landing at Taranto on mainland Italy.

The division was disbanded at the end of World War II in 1946, but re-formed again in 1963 as a specialist mountain division of the Indian Army.

19th Indian Infantry Brigade
The 19th Indian Infantry Brigade was an infantry brigade formation of the Indian Army during World War II. It was formed in 1 October, 1940 at Old Delhi in India and assigned to the 8th Indian Infantry Division. In August 1941, they took part in the Anglo-Soviet invasion of Iran. In September 1943, they moved to the Italian Front, coming briefly under command of the 2nd New Zealand Division in November 1943 and the British 1st Infantry Division in December 1943. Apart from those two attachments the brigade remained with the 8th Indian Division for the remainder of the war.