hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
F. and M. Riesz theorem
In mathematics, the F. and M. Riesz theorem is a result of the brothers Frigyes Riesz and Marcel Riesz, on analytic measures. It states that for a measure μ on the circle, any part of μ that is not absolutely continuous with respect to the Lebesgue measure dθ can be detected by means of Fourier coefficients. 
More precisely, it states that if the Fourier–Stieltjes coefficients of 
satisfy

for all , 
then μ is absolutely continuous with respect to dθ.

The original statements are rather different (see Zygmund, Trigonometric Series, VII.8). The formulation here is as in Walter Rudin, Real and Complex Analysis, p. 335. The proof given uses the Poisson kernel and the existence of boundary values for the Hardy space H1.

Expansions to this theorem were made by James E. Weatherbee in his 1968 dissertation: Some Extensions Of The F. And M. Riesz Theorem On Absolutely Continuous Measures.

Lebesgue measure
In measure theory, a branch of mathematics, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of higher dimensional Euclidean n-spaces. For lower dimensions , it coincides with the standard measure of length, area, or volume. In general, it is also called n-dimensional volume, n-volume, hypervolume, or simply volume. It is used throughout real analysis, in particular to define Lebesgue integration. Sets that can be assigned a Lebesgue measure are called Lebesgue-measurable; the measure of the Lebesgue-measurable set  is here denoted by .

Henri Lebesgue described this measure in the year 1901 which, a year after, was followed up by his description of the Lebesgue integral. Both were published as part of his dissertation Intégrale, Longueur, Aire in 1902.
Yakima Valley Transportation Company
The Yakima Valley Transportation Company (YVT Co.) was an interurban electric railroad headquartered in Yakima, Washington. It was operator of the city's streetcar system from 1907–1947, and it also provided the local bus service from the 1920s until 1957.

Transit bus
A transit bus (also big bus, commuter bus, city bus, town bus, urban bus, stage bus, public bus,  public transit bus, or simply bus) is a type of bus used in public transport bus services.  Several configurations are used, including low-floor buses, high-floor buses, double-decker buses, articulated buses and midibuses.

These are distinct from all-seated coaches used for intercity travel and smaller minibuses, for more flexible services.
Otto Paajanen
Otto Paajanen (born September 13, 1992) is a Finnish professional ice hockey player. He is currently playing for KooKoo of the Liiga.

Paajanen made his Liiga debut playing with HPK during the 2011–12 Liiga season. Paajanen has represented Finland at U20 level.

HPK
Hämeenlinnan Pallokerho (HPK) is a professional ice hockey team in the Liiga, the top men's ice hockey league in Finland. Their home ice is the Ritari-areena in Hämeenlinna. HPK was established in 1929. The parent club of the team is HPK Edustusjääkiekko ry and the team is sometimes promoted as the "Hockey Playing Knights," with a logo representing a knight's helmet. HPK won their first SM-liiga championship in 2006 and the second in 2019.
Rosa nutkana
Rosa nutkana, the Nootka rose, bristly rose, or wild rose is a 0.6–3.0-metre-tall (2–10-foot) perennial shrub in the rose family (Rosaceae).

The species name nootka comes from the Nootka Sound of Vancouver Island, where the plant was first described. This plant is native to Western North America.  There are 2 varieties:  hispida grows in the Intermountain West from east of the Cascades to the Rocky Mountains, and nutkana grows in coastal areas from Alaska to California west to the Cascades.  The Jepson Interchange (Flora of California) considers other varieties to be part of the nutkana variety.

Nootka Sound
Nootka Sound (French: Baie de Nootka) is a sound of the Pacific Ocean on the rugged west coast of Vancouver Island, in the Pacific Northwest, historically known as King George's Sound. It separates Vancouver Island and Nootka Island, part of the Canadian province of British Columbia. It played a historically important role in the maritime fur trade.
Cathedral of Saints Simon and Jude (Phoenix, Arizona)
The Cathedral of Saints Simon and Jude is the cathedral of the Roman Catholic Diocese of Phoenix in Phoenix, Arizona, in the United States. As of 2025, the rector of the cathedral is Monsignor Matthew Henry.

Sisters of Loreto
The Institute of the Blessed Virgin Mary, whose members are commonly known as the Loreto Sisters, is  a Catholic religious congregation of women dedicated to education. It was founded in Saint-Omer by an Englishwoman, Mary Ward, in 1609. The congregation takes its name from the Marian shrine at Loreto in Italy where Ward used to pray. Ward was declared Venerable by Pope Benedict XVI on 19 December 2009. The Loreto Sisters use the initials I.B.V.M. after their names.

Although education was its primary work, today the congregation is engaged in a wide variety of ministries: literacy programmes, spiritual direction, counselling, managing shelters for homeless women as well as several aspects of the movement for greater justice and peace in the world. The Loreto Sisters operate some 150 schools worldwide, educating over 70,000 pupils.
Ellada Eheis Talento season 1
The first season of the Greek reality television series Ellada Eheis Talento was broadcast from March 23, 2007 to June 15, 2007. It was hosted by actress and television presenter Sophia Aliberti. The judges of the Greek show were Ilias Psinakis, singers' manager, Vaggelis Perris, TV and radio producer and Matthildi Maggira, actress, TV presenter and comedian. The winner of the first series was 12-year-old singer Christos Zacharopoulos.

Ilias Psinakis
Ilias Psinakis (Greek: Ηλίας Ψινάκης, born 8 April 1958) is a Greek businessman, politician, manager, and television personality.

Psinakis served as Mayor of Marathon, located in the administrative region of Attica, from 2014 until 2019.
2021 Super League season results
Super League XXVI was the 2021 season of Super League, and 126th season of rugby league in Great Britain. The season started on 26 March 2021, with all six fixtures taking place behind closed doors, at Headingley. It was originally scheduled to have consisted of 27 regular season games, but changes introduced during the season shortened the competition to 25 rounds and subsequent play-offs. The season finale, the Grand Final, took place at Old Trafford, on 9 October 2021.

Due to the ongoing effects of the Covid-19 pandemic, the Magic Weekend, which was cancelled in 2020, took place over the weekend of 4–5 September 2021 at St James' Park, Newcastle.

The full fixture list was released on 26 February 2021, with defending champions St Helens, starting their title defence against Last Year's Challenge Cup finalists Salford Red Devils (a repeat of the 2019 Super League Grand Final), whilst last season's runners up, Wigan Warriors played newly promoted Leigh Centurions.

Leigh Leopards
The Leigh Leopards are a professional rugby league club based in Leigh, Greater Manchester, England. Leigh play homes games at Leigh Sports Village and compete in Super League, the top tier of British rugby league.

Leigh Leopards have won the League Championship twice and Challenge Cup three times.

The clubs traditional home colours are red and white. They have a local rivalry with Wigan Warriors.
Allen Pedersen
Allen Bentley Pedersen (born January 13, 1965) is a Canadian former professional ice hockey player who played 428 regular season games in the National Hockey League with the Boston Bruins, Minnesota North Stars, and Hartford Whalers.

Pedersen was a dependable, shot blocking, stay-at-home defencemen. He scored a total of 5 goals and 36 assists during his NHL career. He scored 0 points in 64 playoff games, the most games without a point in an NHL playoff career. He still holds the record for the most consecutive games played without scoring a goal - 273 (November 12, 1986, to February 4, 1990).

Pederson is now hockey director at the Monument Ice Arena in Monument, Colorado.

Monument, Colorado
Monument is a home rule town situated at the base of the Rampart Range in El Paso County, Colorado, United States. Monument is one of the three communities that make up the Tri-Lakes area, along with Palmer Lake and Woodmoor. Monument is bordered by Pike National Forest on the west, Colorado Springs and the United States Air Force Academy to the south, Bald Mountain, True Mountain, and Spruce Mountain to the north, and Black Forest and rolling plains to the east. Monument was first settled as a stop along the Rio Grande Railroad in 1872, and the area was incorporated as a town called Henry's Station in 1879, but the name was later changed to Monument.  The town population was 10,399 at the 2020 United States census, a 88% increase from a population of 5,530 in 2010 and a 528% increase from a population of 1,971 in 2000.
AlienBabelTech
AlienBabelTech started out as an international collaboration of computer enthusiasts and professionals.  It is an online computer and technology-related publication website that was officially launched on 1 October 2008.

Programmer
A programmer, computer programmer or coder is an author of computer source code – someone with skill in computer programming.
The professional titles software developer and software engineer may be used for jobs that require a programmer.
No Kitchen Required
No Kitchen Required is a television cooking show produced by BBC America that first aired in 2012. The show centres on three professional chefs who immerse themselves in a different culture each episode and then attempt to cook meals in the style of that culture with produce acquired by traditional means and with no commercial kitchen.

Produce
In American English, produce generally refers to fresh fruits and vegetables intended to be eaten by humans, although other food products such as dairy products or nuts are sometimes included.

In supermarkets, the term is also used to refer to the section of the store where fruit and vegetables are kept. Produce is the main product sold by greengrocers (UK, Australia) and farmers' markets. The term is widely and commonly used in the U.S. and Canada, but is not typically used outside the agricultural sector in other English-speaking countries.
Epsilon Esports
Epsilon Esports is a professional esports organisation that has teams competing in Call of Duty,  FIFA, Gears of War and H1Z1. It is an organisation in console esports, with multiple championship Call of Duty championships achieved from 2011 to 2014. Epsilon's Smite team won the Smite World Championship 2016. The organisation is headquartered in Brussels, Belgium, but individual teams are based across Europe and North America.

Z1 Battle Royale
Z1 Battle Royale (formerly H1Z1 and King of the Kill) is a battle royale game developed and published by Daybreak Game Company. The game's development began after the original H1Z1 was spun off into two separate projects in early 2016: H1Z1: Just Survive and H1Z1: King of the Kill. The games were further split as separate projects in October 2017, with Just Survive dropping the H1Z1 name, and King of the Kill becoming simply H1Z1.

After three years of being in early access for Windows, H1Z1 officially released as a free-to-play game in February 2018, later released for the PlayStation 4 in August 2018. A month later, development of the game was transferred to NantG Mobile, who attempted to "revert" (redevelop) the game back to how it was in March 2017 (pre-Season 3), rebranding it as Z1 Battle Royale with their Season 3 update. In April 2019, development of the game was given back over to Daybreak.
Triumph and Agony
Triumph and Agony is the fourth and final studio album by the German heavy metal band Warlock, released on 29 September 1987.

The album was recorded in the US with producer Joey Balin and a different band line-up in comparison with the previous album True as Steel, which had made the name of Warlock known outside of Europe. Peter Szigeti and Frank Rittel were replaced in 1987 by the American musicians Tommy Bolan and Tommy Henriksen respectively. The album also features British drummer Cozy Powell on one track.

The song "All We Are" received some airplay on American metal radio stations and its video clip shot by director Mark Rezyka had good rotation on MTV's Headbangers Ball. Many songs of this album are still performed live by Doro's band.

Mark Rezyka
Mark Rezyka (born 11 June 1959 in Montreal, Canada) was best known as a top director of heavy metal music videos in the 1980s and 1990s. With partners Marcelo Epstein and Dominic Orlando, he founded Pendulum Productions in 1982, and directed over 300 music videos over the next 15 years. Artists included Quiet Riot, Kiss, Ratt, Cinderella, Whitesnake, Survivor, Foreigner, Cheap Trick, and Joan Jett, among others.

Rezyka wrote and directed TV commercials and TV shows, including The CBS Fall Campaign 2004, Gatorade, Jovan, Ford, General Motors, The Hitchhiker and "Monsters". He also wrote and directed the feature film South of Reno, and won the best cinematography prize for his work on 14 Ways to Wear Lipstick  at the 2002 Slam Dance festival.

In 2005, Rezyka executive produced the CD/DVDs Spin the Bottle: an All-Star Tribute to Kiss and AC/DC: We Salute You.
Asham Wood
Asham Wood (grid reference ST705460) is a 140.6-hectare (347-acre) biological Site of Special Scientific Interest east of Downhead and south of Leigh-on-Mendip in the Mendip Hills, Somerset, notified in 1963.

Asham Wood is the largest and most diverse of the ancient semi-natural woodlands in the Mendips. It has a permanent stream that runs through it feeding Chantry Pond to the east of the wood. It has been the subject of controversy and attempts to protect the environment from increased quarrying activity in the area.

The woodland occupies 2 deep valleys and the intervening plateau. Most of the underlying
rocks are calcareous Carboniferous Limestone and Shales, but Devonian Portishead Beds
outcrop along the northern valley. There are a range of unusual flora and fauna.

At Asham Wood near Frome coppicing and 50 dormouse boxes have been introduced in order to encourage nesting. The boxes are monitored and dormice numbers are recorded.

Carboniferous Limestone
Carboniferous Limestone is a collective term for the succession of limestones occurring widely throughout Great Britain and Ireland that were deposited during the Dinantian Epoch of the Carboniferous Period.  These rocks formed between 363 and 325 million years ago. Within England and Wales, the entire limestone succession, which includes subordinate mudstones and some thin sandstones, is known as the Carboniferous Limestone Supergroup.
Idiosoma schoknechtorum
Idiosoma schoknechtorum is a species of mygalomorph spider in the Idiopidae family. It is endemic to Australia. It was described in 2018 by Australian arachnologists Michael Rix and Mark Harvey. The specific epithet schoknechtorum honours Daniel and Noel Schoknecht, for collecting an important female specimen on their property.

Arachnology
Arachnology (from Ancient Greek ἀράχνη (arákhnē), meaning "spider", and λόγος (lógos), meaning "study") is the scientific study of arachnids, which comprise spiders and related invertebrates such as scorpions, pseudoscorpions, harvestmen, ticks, and mites. Those who study spiders and other arachnids are arachnologists. More narrowly, the study of spiders alone (order Araneae) is known as araneology.

The word "arachnology" from Ancient Greek ἀράχνη (arákhnē), meaning "spider", and λόγος (lógos), meaning "study". The Ancient Greek word for "spider" itself refers to Arachne, the female protagonist of an ancient tale of the Greek Mythology.
Chondrocranium
The chondrocranium (or cartilaginous neurocranium) is the primitive cartilaginous skeletal structure of the fetal skull that grows to envelop the rapidly growing embryonic brain.

The chondrocranium in different species can vary greatly, but in general it is made up of four components, the sphenoids, occipitals, otic capsules, and nasal capsules.

In humans, the chondrocranium begins forming at 28 days from mesenchymal condensations and is fully formed between week 7 and 9 of fetal development. While the majority of the chondrocranium is succeeded by the bony skull, some components do persist into adulthood. In cartilaginous fishes (e.g. sharks and rays) and agnathans (e.g. lampreys and hagfish), the chondrocranium persists throughout life. Embryologically, the chondrocranium represents the basal cranial structure, and lays the base for the formation of the endocranium.

Embryology
Embryology (from Greek ἔμβρυον, embryon, 'the unborn, embryo'; and -λογία, -logia) is the branch of zoology that studies the prenatal development of gametes (sex cells), fertilization and development of embryos and fetuses. Embryology includes teratology, the study of congenital disorders that occur before birth.

Early embryology, put forward by Marcello Malpighi, was preformationist in concept: based on the idea that organisms develop from pre-existing miniature versions of themselves.  The theory now accepted, epigenesis, is the idea that organisms develop from seed or egg in a sequence of steps.  This concept was proposed in antiquity by Aristotle. Modern embryology developed from the work of Karl Ernst von Baer, though accurate observations had been made in Italy by anatomists such as Aldrovandi and Leonardo da Vinci in the Renaissance.
2020–21 Supercoppa Italiana (women)
The 2020 Supercoppa Italiana was the 24th edition of the Supercoppa Italiana.

The matches were played in Chiavari at Stadio Comunale between 6 and 10 January 2022 and Juventus won for the second time in a row.

Usually 2 teams participate in the competition, but the COVID-19 pandemic caused the Coppa Italia to end prematurely and it was decided to involve the best 4 teams of the 2019–20 Serie A: Juventus, Fiorentina, Milan and Roma.

Stadio Comunale (Chiavari)
Stadio Comunale Enrico "Richin" Sannazzari is a multi-purpose stadium in Chiavari, Italy. It is mainly used for football matches and hosts the home matches of local Italian Serie B club Virtus Entella. The stadium has a capacity of 5,535 spectators.

44°18′56″N 9°20′14″E﻿ / ﻿44.31556°N 9.33722°E﻿ / 44.31556; 9.33722
Prizefight Boxing
Prize Fight is a boxing promotional company in the southern United States.

Prize Fight Boxing was created by brothers Brian and Russell Young.

Prize Fight  has promoted fights such as: Lennox Lewis vs. Mike Tyson 2002, Roy Jones Jr. vs. Glen Johnson 2004, Antonio Tarver vs. Glen Johnson 2005, The 2004 United States Olympic Boxing Trials, and Jermain Taylor vs. Winky Wright.

Glen Johnson (boxer)
Glengoffe Donovan Bartholomew Johnson (born 2 January 1969) is a Jamaican former professional boxer who competed from 1993 to 2015. He held the IBF, IBO and Ring magazine light heavyweight titles between 2004 and 2005, and challenged once each for world titles at middleweight and super middleweight.

He was named Fighter of the Year in 2004 by The Ring, the Boxing Writers Association of America, and BoxingScene for his upset knockout victory over Roy Jones Jr. Throughout his career, Johnson was well known for his exceptionally durable chin and relentless pressure fighting style.
Talmei Menashe
Talmei Menashe (Hebrew: תלמי מנשה) is a moshav in central Israel. It was established in 1953 by the General Zionists movement. The moshav encompasses 1,800 dunams and consists of 62 farms, 5 auxiliary farms, and a residential annex ("Harchava"). The moshav falls under the jurisdiction of Be'er Ya'akov local council, and is located to the east of Be'er Ya'akov and to the west of route 44.

General Zionists
The General Zionists (Hebrew: הַצִיּוֹנִים הַכְּלָלִיים, romanized: HaTzionim HaKlaliym) were a centrist Zionist movement and a political party in Israel. The General Zionists supported the leadership of Chaim Weizmann and their views were largely colored by central European culture. The party was considered to have both conservative and liberal wings, and is one of the ancestors of the modern-day Likud.
Jargon File
The Jargon File is a glossary and usage dictionary of slang used by computer programmers. The original Jargon File was a collection of terms from technical cultures such as the MIT AI Lab, the Stanford AI Lab (SAIL) and others of the old ARPANET AI/LISP/PDP-10 communities, including Bolt, Beranek and Newman (BBN), Carnegie Mellon University, and Worcester Polytechnic Institute. It was published in paperback form in 1983 as The Hacker's Dictionary (edited by Guy Steele) and revised in 1991 as The New Hacker's Dictionary (ed. Eric S. Raymond; third edition published 1996).

The concept of the file began with the Tech Model Railroad Club (TMRC) that came out of early TX-0 and PDP-1 hackers in the 1950s, where the term hacker emerged and the ethic, philosophies and some of the nomenclature emerged.

PDP-1
The PDP-1 (Programmed Data Processor-1) is the first computer in Digital Equipment Corporation's PDP series and was first produced in 1959. It is known for being the most important computer in the creation of hacker culture at the Massachusetts Institute of Technology, Bolt, Beranek and Newman, and elsewhere. The PDP-1 is the original hardware for one of the first video games, Steve Russell's 1962 game Spacewar!.
New River (Withlacoochee River tributary)
The New River is a 34.4-mile-long (55.4 km) tributary of the Withlacoochee River in the U.S. state of Georgia.  Via the Withlacoochee and Suwannee rivers, its waters flow to the Gulf of Mexico.

The New River rises in the northern outskirts of Tifton, Georgia, and flows southeast to join the Withlacoochee between the cities of Adel and Nashville.  For the lower 2/3 of its course, it forms the boundary between Berrien and Cook counties.

Cook County, Georgia
Cook County is a county located in the south central portion of the U.S. state of Georgia. As of the 2020 census, the population was 17,229. The county seat is Adel. The constitutional amendment to create the county was proposed July 30, 1918, and ratified November 5, 1918. It is named for former Civil War general Philip Cook of the Confederate States Army.

Reed Bingham State Park is in Cook County.
Tai Po Waterfront Park
Tai Po Waterfront Park (Chinese: 大埔海濱公園) is a park in Tai Po in the New Territories of Hong Kong. It is located along the Tolo Harbour, and its western end is at the northern part of the mouth of the Lam Tsuen River. It occupies an area of 22 hectares (54 acres), and is the largest park managed by the Leisure and Cultural Services Department. The Park opened in 1994 at a cost of $210-million, but was not completed until 1997 with the creation of the Tai Po Lookout Tower.

Every year, the Tai Po Dragon Boat Race is held in the sea off the park.

Leisure and Cultural Services Department
The Leisure and Cultural Services Department (LCSD), is a department in the Government of Hong Kong. It reports to the Culture, Sports & Tourism Bureau, headed by the Secretary for Culture, Sports and Tourism. It provides leisure and cultural activities for the people of Hong Kong, which was also one of the tasks of the former Urban Council, and Regional Council and Home Affairs Bureau. It manages various public facilities around Hong Kong including public libraries, swimming pools, sports centres, parks, beaches and waterfront areas. The well-known Hong Kong Cultural Centre and Hong Kong Space Museum are among several museums also managed by the department. It was established in 2000 and its headquarters is in Shatin, New Territories.

Until July 2022, the department was headed by the Secretary for Home Affairs.