hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Addition principle
In combinatorics, the addition principle or rule of sum is a basic counting principle.  Stated simply, it is the intuitive idea that if we have A number of ways of doing something and B number of ways of doing another thing and we can not do both at the same time, then there are  ways to choose one of the actions. In mathematical terms, the addition principle states that, for disjoint sets A and B, we have , provided that the intersection of the sets is without any elements.

The rule of sum is a fact about set theory, as can be seen with the previously mentioned equation for the union of disjoint sets A and B being equal to |A| + |B|.

The addition principle can be extended to several sets. If  are pairwise disjoint sets, then we have:This statement can be proven from the addition principle by induction on n.

Disjoint sets
In set theory in mathematics and formal logic, two sets are said to be disjoint sets if they have no element in common. Equivalently, two disjoint sets are sets whose intersection is the empty set. For example, {1, 2, 3} and {4, 5, 6} are disjoint sets, while {1, 2, 3} and {3, 4, 5} are not disjoint. A collection of two or more sets is called disjoint if any two distinct sets of the collection are disjoint.
Coconut water
Coconut water (also coconut juice) is the clear liquid inside young coconuts (fruits of the coconut palm). In early development, it serves as a suspension for the endosperm of the coconut during the nuclear phase of development. As development continues, the endosperm matures into its cellular phase and deposits into the rind of the coconut pulp. The liquid inside young coconuts is sometimes preferred to the liquid of a ripened coconut. Coconut water from young green coconuts is also known specifically as buko juice in Philippine English.

Peel (fruit)
Peel, also known as rind or skin, is the outer protective layer of a fruit or vegetable which can be peeled off. The rind is usually the botanical exocarp, but the term exocarp also includes the hard cases of nuts, which are not named peels since they are not peeled off by hand or peeler, but rather shells because of their hardness.

A fruit with a thick peel, such as a citrus fruit, is called a hesperidium. In hesperidia, the inner layer (also called albedo or, among non-botanists, pith) is peeled off together with the outer layer (called flavedo), and together they are called the peel. The flavedo and albedo, respectively, are the exocarp and the mesocarp. The juicy layer inside the peel (containing the seeds) is the  endocarp.
Pennsylvania House of Representatives, District 149
The 149th Pennsylvania House of Representatives District is located in Montgomery County and includes the following areas:

Bridgeport

Lower Merion Township (PART)
Ward 05
Ward 06
Ward 07
Ward 10 [PART, Divisions 01 and 02]
Ward 11
Ward 14

Upper Merion Township

West Conshohocken

West Norriton Township (PART)
District 02 [PART, Division 02]
District 04

West Norriton Township, Pennsylvania
West Norriton Township is a township that is located in Montgomery County, Pennsylvania, United States. It is part of the Norristown Area School District.

The population of the township was 15,663 at the time of the 2010 census.
HD 28736
HD 28736 (HIP 21152, HR 1436) is a triple star system in the constellation of Taurus. It is composed of an F-type main-sequence star, an orbiting low-mass brown dwarf or giant planet, and a high-mass brown dwarf or low-mass star. Located some 141 light-years (43 parsecs) away according to Gaia DR3 parallax measurements, it is a member of the Hyades cluster, moving away from Earth at a heliocentric radial velocity of 39.58 km/s. With an apparent magnitude of 6.352, it is near the limit for naked eye visibility under dark skies.

Star system
A star system or stellar system is a small number of stars that orbit each other, bound by gravitational attraction. It may sometimes be used to refer to a single star. A large group of stars bound by gravitation is generally called a star cluster or galaxy, although, broadly speaking, they are also star systems. Star systems are not to be confused with planetary systems, which include planets and similar bodies (such as comets).
Deckert
Deckert is a surname. Notable people with the surname include:

Alf-Gerd Deckert (born 1955), German cross-country skier

Blue Deckert American actor

Claudelle Deckert (born 1974), German actress

Günter Deckert (born 1940), far-right German political activist

Günter Deckert (nordic combined) (1950–2005), East German Nordic combined skier

Hans Erik Deckert (1927–2022), German cellist

Heinz Deckert (1927–2008), German trade union leader

Josef Deckert (1843–1901), Austrian Catholic priest and anti-Semitic agitator

Manfred Deckert (born 1961), East German ski jumper

Ryan Deckert (born c. 1971), businessman and politician in Oregon, U.S.

Tempany Deckert (born 1978), Australian actress and author

Claudelle Deckert
Claudelle Deckert (born Claudia Deckert, 1974) is a German actress.

She is part of the main cast of the German soap opera Unter uns since 2001 with a two-year break between 2006 und 2008. In 2013, she appeared on season 7 of the German reality show Ich bin ein Star – Holt mich hier raus! (German version of I'm a Celebrity...Get Me Out of Here!), where she finished third. She also appeared in the German edition of Playboy in the February 2013 issue.

Deckert has a daughter, Romy, with Düsseldorf-based photographer Tom Lemke (d. 2017).
Russell 2500 Index
The Russell 2500 Index measures the performance of the 2,500 smallest companies (19% of total capitalization) in the Russell 3000 Index, with a weighted average market capitalization of approximately $4.3 billion, median capitalization of $1.2 billion and market capitalization of the largest company of $18.7 billion.

The index, which was launched on June 1, 1990, is maintained by FTSE Russell, a subsidiary of the London Stock Exchange Group. Its ticker symbol is ^R25I.

Ticker symbol
A ticker symbol or stock symbol is an abbreviation used to uniquely identify publicly traded shares of a particular stock or security on a particular stock exchange. Ticker symbols are arrangements of symbols or characters (generally Latin letters or digits) which provide a shorthand for investors to refer to, purchase, and research securities. Some exchanges include ticker extensions, which encode additional information such as share class, bankruptcy status, or voting rights into the ticker.

The first ticker symbol was used in 1867, following the invention of the ticker tape machine by Edward Calahan. It was used to identify shares of the Union Pacific Railroad Company.
Yidu Yangtze River Bridge
The Yidu Yangtze River Bridge (Chinese: 宜都长江大桥) is a suspension bridge over the Yangtze river in Yichang, China. The bridge is one of the longest suspension bridges with a main span of 1,000 m (3,300 ft).

Yichang
Yichang (Chinese: 宜昌), alternatively romanized as Ichang, is a prefecture-level city located in western Hubei province, China. Yichang had a population of 3.92 million people at the 2022 census, making it the third most populous city in Hubei. The city is famous for the Three Gorges, the Three Gorges Dam and the Gezhouba Dam, all three of which are located in Yiling District, one of the city's districts.
Dongqiao, Ningbo
Dongqiao (simplified Chinese: 洞桥; traditional Chinese: 洞橋; pinyin: Dòngqiáo; Ningbo dialect: don3jio1), is a town in Yinzhou District, Ningbo, Zhejiang, People's Republic of China. Located in the southwestern suburbs of the city, it is roughly 5 kilometres (3.1 mi) southwest of Ningbo Lishe International Airport. There are many factories in the area, including a plastic factory in Shagang Village.

Ningbo dialect
The Ningbo dialect (Chinese: 宁波话/寧波話, 宁波闲话/寧波閒話) is a dialect of Wu Chinese, one subdivision of Chinese language. Ningbo dialect is spoken throughout Ningbo and Zhoushan prefectures, in Zhejiang province.
Dainis Deglis
Dainis Deglis (born 26 January 1959 in Smiltene) is a former Latvian football defender, who was called the Latvian rifleman while he played for FK Daugava Rīga. Currently, he is a member of the board and the main shareholder at the Latvian Higher League club FK Daugava Rīga.

Latvian Higher League
Latvian Higher League or Virslīga, also known as TonyBet Virslīga for sponsorship reasons, is a professional association football league in Latvia and the highest level of the Latvian football league system. Organised by the Latvian Football Federation, the league is contested by ten clubs.
CitrusTV
CitrusTV is the completely student-run television studio of Syracuse University and SUNY ESF in Syracuse, New York. It was founded in 1970 and has more than 350 student members.

The organization is not a station, network or channel and does not broadcast its own programming, except for online streaming. Instead, CitrusTV provides programming, both live and taped—primarily to its website, YouTube, and the Orange Television Network, which is the university-controlled cable network available in all campus buildings on channel 24.2.

WJPZ-FM
WJPZ-FM (89.1 FM) – branded as Z89 – is a radio station in Syracuse, New York. It broadcasts on 89.1 MHz with an effective radiated power of 1,000 watts and can be heard throughout Syracuse, the rest of Onondaga County, and beyond to the north and east. WJPZ primarily programs a Top 40 (CHR) radio format. A notable amount of airtime during the academic year is devoted to sports talk and live play-by-play coverage of select local sporting events.
Thomas Jackson (Alabama politician)
Thomas E. Jackson Jr. (born August 24, 1949) is an American politician. He is a member of the Alabama House of Representatives from the 68th district, serving since 1994. He is a member of the Democratic Party.

Jackson is a member of the National Black Caucus of State Legislators.

Alabama House of Representatives
The Alabama House of Representatives is the lower house of the Alabama Legislature, the state legislature of state of Alabama. The House is composed of 105 members representing an equal number of districts, with each constituency containing at least 42,380 citizens. There are no term limits in the House. The House is also one of the five lower houses of state legislatures in the United States that is elected every four years. Other lower houses, including the United States House of Representatives, are elected for a two-year term.

The House meets at the Alabama State House in Montgomery. The speaker of the Alabama House of Representatives is its leader.
Nayana Fernando
Nayana Fernando (full name Palamandadige Nayana Priyanjana Fernando; born 14 October 1988) is a Sri Lankan cricketer. He is a right-handed batsman and right-arm bowler who plays for Moratuwa Sports Club. He was born in Panadura.

Fernando, who has played with Moratuwa Under-23s since 2007, made his List A debut during the 2009–10 season, against Police Sports Club, scoring 26 runs in his debut innings, though he followed this up with a golden duck in his next match.

Moratuwa Sports Club
Moratuwa Sports Club is a first-class cricket team in Sri Lanka. As of 2026, Moratuwa SC competes in Tier "B" 3 Day League. Previously, it had competed in the Premier Trophy, Sri Lanka's main first-class cricket competition, for 13 seasons following the international recognition of first-class status for the 1988–89 season. However, its first-class status was not continuous. In addition, it competed in the Premier Limited Overs Tournament, Sri Lanka's main List A cricket competition, for five seasons.
Sinokrot
Sinokrot Holding is the largest family-owned business group in Palestine, established in 1982. It is based in Ramallah, operating in 20,000 m2 of buildings with 350 employees. The company sells from more than 4,000 outlets. The chairman, Mazen Sinokrot, who was a Minister of National Economy until March 2006, as well as Chairman of the Board for the Palestine Standards Institute, Palestine Investment and Promotion Agency, and Palestine Industrial Zones and Free Zones Authority.

Ministry of National Economy (Palestine)
The Ministry of National Economy is a government agency in Palestine responsible for overseeing the country's economic policies and programs. Its primary role is to promote economic development and growth through the implementation of various economic policies and programs. The current minister is Mohammed al-Amour.

The ministry is responsible for a range of functions, including the development and implementation of economic policies, the management of public finances, the regulation of economic activity, and the promotion of trade and investment.

Some of the specific areas of focus for the Ministry of National Economy in Palestine include:

Promoting private sector development and entrepreneurship

Encouraging foreign investment and trade

Developing and implementing policies to support economic growth and development

Managing public finances and ensuring fiscal sustainability

Regulating economic activity to ensure fair competition and protect consumers
Arizona State Route 587
State Route 587, also known as SR 587, is a state highway in south-central Arizona that travels from its junction with State Route 87 just south of Sun Lakes directly south to Interstate 10 in Bapchule.  The entire highway is just six miles (10 km) long, traveling entirely within the Gila River Indian Reservation, and serves as a shortcut from the far southern suburbs of the Phoenix metropolitan area to Interstate 10.

This highway was formerly part of State Route 387 and State Route 93.

Sun Lakes, Arizona
Sun Lakes is a census-designated place (CDP) in Maricopa County, Arizona, United States. The population was 14,868 at the 2020 census. Sun Lakes is an active adult community comprising five country club communities in three homeowner associations. These include the gated communities of Oakwood and IronWood (IronOaks), the gated and non-gated communities of Palo Verde and Cottonwood (Cottonwood Palo Verde), and the non-gated community of Sun Lakes 1.
2nd Battalion, 10th Marines
2nd Battalion 10th Marines (2/10) is an artillery battalion of the United States Marine Corps comprising two cannon batteries, three rocket batteries, and a headquarters battery.   The battalion is stationed at Marine Corps Base Camp Lejeune, North Carolina and its primary weapon systems are the M777A2 howitzer with a maximum effective range of 30 km and the M142 HIMARS with a maximum effective range of 300km.  They fall under the command of the 10th Marine Regiment and 2nd Marine Division.

M777 howitzer
The M777 howitzer is a British towed 155 mm artillery piece in the howitzer class. It is used by the ground forces of Australia, Canada, Colombia, India, Saudi Arabia, Ukraine, and the United States. It was first used in combat during the War in Afghanistan.

The M777 is manufactured by BAE Systems' Global Combat Systems division. Prime contract management is based in Barrow-in-Furness in Cumbria, England, as well as manufacture and assembly of the titanium structures and associated recoil components. Final integration and testing of the weapon is undertaken at BAE's facility in Hattiesburg, Mississippi, US. Depending on the year, contract and systems package, the M777 has been exported with individual unit costs from US$2.025 million (in 2008) to $3.738 million (in 2017).
Vodka (horse)
Vodka (ウオッカ; 4 April 2004 – 1 April 2019) was a Japanese Thoroughbred racemare which won the 2007 Group One (GI) Tokyo Yūshun (Japanese Derby), the first filly to win this race in 64 years, as well as the 2009 Japan Cup. She won seven G1 races in Japan and was the highest earning racemare in Thoroughbred history at the time.

Triple Crown of Thoroughbred Racing
The Triple Crown of Thoroughbred Racing, often shortened to Triple Crown, is a series of horse races for Thoroughbreds, often restricted to three-year-olds. Winning all three of these Thoroughbred horse races is considered the greatest accomplishment in Thoroughbred racing. The term originated in mid-19th-century England and nations where Thoroughbred racing is popular, each having their own Triple Crown series.
Asian Mile Challenge
The Asian Mile Challenge is a series of four one-mile (eight furlongs) Thoroughbred horse races. Created in 2005, the series was launched with two races, one in Hong Kong, the other in Japan. In 2006, a race each at the Melbourne Racing Club of Australia and the Dubai Racing Club of the United Arab Emirates joined the series.

Raced approximately four weeks apart between March and June, a US$1 million bonus is given to any horse who wins two legs of the  Asian Mile Challenge. In 2006, the Hong Kong–based horse Bullish Luck collected the bonus after winning the Champions Mile and the Yasuda Kinen.

The Asian Mile Challenge now consists of four Grade I races:

Futurity Stakes at Caulfield Racecourse, Melbourne

Dubai Duty Free Stakes at Meydan Racecourse in Dubai

Champions Mile at Sha Tin Racecourse, Hong Kong

Yasuda Kinen at Tokyo Racecourse, Tokyo

Sha Tin Racecourse
Sha Tin Racecourse is one of the two racecourses for horse racing in Hong Kong. It is located in Sha Tin in the New Territories. It is managed by Hong Kong Jockey Club.

Penfold Park is encircled by the track, and the Hong Kong Sports Institute is located immediately south of the property.

Michael Jackson planned to perform at the racecourse on his Dangerous World Tour, which was the start of the third leg, but it did not materialize due to the dates conflicting with the racing season.
Chinese Taipei at the 1992 Winter Olympics
Due to the political status of Taiwan, the Republic of China (ROC) competed as Chinese Taipei at the 1992 Winter Olympics in Albertville, France.  The International Olympic Committee mandates that the Chinese Taipei Olympic Committee flag is used, and not the flag of the Republic of China.

Albertville
Albertville (French pronunciation: [albɛʁvil] ⓘ; Arpitan: Arbèrtvile) is a subprefecture of the Savoie department in the Auvergne-Rhône-Alpes region in southeastern France. 
It is best known for hosting the 1992 Winter Olympics and Paralympics. In 2022, the commune had a population of 19,706; its urban area had 40,715 inhabitants.
Homi Sethna
Homi Nusserwanji Sethna (24 August 1923 – 5 September 2010) was an Indian nuclear scientist and a chemical engineer, gaining international fame as the Chairman of the Atomic Energy Commission (India) during the time when the first nuclear test, codename Smiling Buddha in Pokhran Test Range in 1974 was conducted. He was the primary and central figure in India's civilian nuclear program as well as the construction of nuclear power plants. In 1991, he was appointed as Sheriff of Mumbai.

He was awarded the second highest civilian award the Padma Vibhushan in 1975, by Government of India.

Earlier in his career, he had full technical responsibility for setting up of the Thorium extraction plant at Alwaye, Kerala India, for separation of rare earth from monazite sands.

Nuclear physics
Nuclear physics is the field of physics that studies atomic nuclei and their constituents and interactions, in addition to the study of other forms of nuclear matter.

Nuclear physics should not be confused with atomic physics, which studies the atom as a whole, including its electrons.

Discoveries in nuclear physics have led to applications in many fields such as nuclear power, nuclear weapons, nuclear medicine and magnetic resonance imaging, industrial and agricultural isotopes, ion implantation in materials engineering, and radiocarbon dating in geology and archaeology. Such applications are studied in the field of nuclear engineering.

Particle physics evolved out of nuclear physics and the two fields are typically taught in close association. Nuclear astrophysics, the application of nuclear physics to astrophysics, is crucial in explaining the inner workings of stars and the origin of the chemical elements.
Web-based VoIP
Web-based VoIP is the integration of voice over IP technologies into the facilities and methodologies of the World-Wide Web. It enables digital communication sessions between Web users or between users of traditional telecommunication services.

Instead of using dedicated, hardware-based VoIP devices, such as IP phones, analog telephone adapters, or integrated VoIP/Internet access routers, services are provided via a web page and the facilities of the user's computer or hand-held device for accessing and operating a locally attached headset and microphone. This is assisted by various software components such as Flash, Active X, Silverlight, Java applet or browser plugins like NPAPI.

Using click-to-call, for example, a  web user may click on a telephone number, or some other suitable icon, embedded in a corporate web site to initiate a web-based telephone call with a customer service representative without leaving the website or using any other additional telephony equipment.

Microsoft Silverlight
Microsoft Silverlight is a discontinued application framework designed for writing and running rich internet applications, similar to Adobe's runtime, Adobe Flash. While early versions of Silverlight focused on streaming media, later versions supported multimedia, graphics, and animation, and gave support to developers for CLI languages and development tools. Silverlight was one of the two application development platforms for Windows Phone, but web pages using Silverlight did not run on the Windows Phone or Windows Mobile versions of Internet Explorer, as there was no Silverlight plugin for Internet Explorer on those platforms.

Microsoft terminated support for Silverlight on Internet Explorer 11 (the last remaining web browser still supporting Silverlight) on October 12, 2021.
Zorro (1990 TV series)
Zorro (also known as The New Zorro, New World Zorro, and Zorro 1990) is an American Western superhero television series featuring Duncan Regehr as the character of Zorro. Regehr portrayed the fearless Spanish hero and fencer on The Family Channel from 1990 to 1993. The series was shot entirely in Madrid, Spain and produced by New World Television (U.S.), The Family Channel (U.S.), Ellipse Programme of Canal Plus (France), Beta TV (Germany), and RAI (Italy). 88 episodes of the series were produced, Raymond Austin directed 55 episodes and produced 37. There were 10 more  episodes made than the first Zorro television series, which was produced by Disney in the late 1950s.

Since 2011, the series is airing in the United States on Retro Television Network as The New Zorro. Sony Pictures is the distributor for this version of Zorro.

Western fiction
Western fiction is a genre of literature set in the American Old West frontier and typically set from the late eighteenth to the late nineteenth century. Well-known writers of Western fiction include Zane Grey from the early 20th century and Louis L'Amour from the mid-20th century. The genre peaked around the early 1960s, largely due to the popularity of televised Westerns such as Bonanza. Readership began to drop off in the mid- to late 1970s and reached a new low in the 2000s. Most bookstores, outside a few west American states, only carry a small number of Western fiction books.