hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Stone's theorem on one-parameter unitary groups
In mathematics, Stone's theorem on one-parameter unitary groups is a basic theorem of functional analysis that establishes a one-to-one correspondence between self-adjoint operators on a Hilbert space  and one-parameter families

of unitary operators that are strongly continuous, i.e.,

and are homomorphisms, i.e.,

Such one-parameter families are ordinarily referred to as strongly continuous one-parameter unitary groups.

The theorem was proved by Marshall Stone (1930, 1932), and John von Neumann (1932) showed that the requirement that  be strongly continuous can be relaxed to say that it is merely  weakly measurable, at least when the Hilbert space is  separable.

This is an impressive result, as it allows one to define the derivative of the  mapping  which is only supposed to be  continuous. It is also related to the theory of Lie groups and Lie algebras.

Weakly measurable function
In mathematics—specifically, in functional analysis—a weakly measurable function taking values in a Banach space is a function whose composition with any element of the dual space is a measurable function in the usual (strong) sense.  For separable spaces, the notions of weak and strong measurability agree.
2017 IndyCar Series
The 2017 Verizon IndyCar Series was the 22nd season of the Verizon IndyCar Series and the 106th official championship season of American open-wheel racing. The premier event was the 101st Indianapolis 500 won by Takuma Sato. Josef Newgarden, the 2011 Indy Lights champion, in his sixth full-time season in the IndyCar Series, won the championship. It was Newgarden's first season as part of Team Penske, and he collected four wins, one pole position, and ten top-five finishes. It was Team Penske's 15th Indy car season championship, and third in four years.

Simon Pagenaud entered the season as the defending IndyCar champion, and finished second in points behind his teammate Newgarden. The 2017 season was the final season for the Honda/Chevy aerokits introduced in 2015, as 2018 saw the introduction of a new spec-aerokit.

All events from 2016 returned to the schedule. In addition, the series returned to Gateway Motorsports Park for the first time since 2003.

Mikhail Aleshin
Mikhail Petrovich Aleshin (Russian: Михаи́л Петро́вич Алёшин, IPA: [mʲɪxɐˈil pʲɪˈtrovʲɪtɕ ɐˈlʲɵʂɨn], born 22 May 1987) is a Russian former professional racing driver and the 2010 champion of the Formula Renault 3.5 Series.
Hinterhoeller Yachts
Hinterhoeller Yachts was a Canadian boat builder based in St. Catharines, Ontario. The company specialized in the design and manufacture of fiberglass sailboats.

The company was originally founded by George Hinterhoeller as Hinterhoeller Limited in Niagara-on-the-Lake, when he started boatbuilding in 1956. It was absorbed into C&C Yachts when he helped found that company in 1969. He sold his C&C shares in 1975 and restarted his own company in 1977. The company was wound-up in 1995 and Hinterhoeller died in 1999.

Shark 24
The Shark 24 is a Canadian-designed 24 ft sailing yacht which has earned itself a reputation of extraordinary reliability and longevity among sailors both in North America and Central Europe. Having been designed by George Hinterhoeller back in 1959 to cope well even with the harshest conditions found in the Great Lakes region, the vessel has proven to be well suited for extended leisure trips as well as for tough racing.

The Shark 24 was awarded International status by World Sailing in 2000.
Mengzhou (spacecraft)
The Mengzhou (Chinese: 梦舟; pinyin: mèng zhōu; lit. 'Dream Vessel'), formerly known as the Next-Generation Crewed Spacecraft (新一代载人飞船; xīnyīdài zàirén fēichuán), is a reusable spacecraft developed and manufactured by China Aerospace Science and Technology Corporation (CASC). The spacecraft prototype underwent its first uncrewed test flight on 5 May 2020.

The crew carrier is designed to conduct lunar exploration in conjunction with China's future lunar descent spacecraft, the Lanyue lander, by the end of the 2020s. A low-earth orbit (LEO) version of the spacecraft intended to ferry astronauts to the Tiangong space station is also under development; this LEO version will serve as a modern replacement for the existing Shenzhou spacecraft. The new spacecraft is expected to attain crewed flight capability around 2027–2028.

China Aerospace Science and Technology Corporation
The China Aerospace Science and Technology Corporation (CASC) is a main contractor for the Chinese space program. It is state-owned and has subsidiaries which design, develop and manufacture a range of spacecraft, launch vehicles, and ground equipment. It also has a division for strategic and tactical missile systems.
Matt Miller (baseball, born 1974)
Matthew Lincoln Miller  (born August 2, 1974) is a former left-handed Major League Baseball pitcher who played for the Detroit Tigers in 2001 and 2002.

Miller attended Monterey High School before attending Texas Tech University, both in Lubbock, Texas. In the 1996 draft, Miller was drafted in the 2nd round by the Detroit Tigers. Miller played collegiately with the Texas Tech Red Raiders baseball team. In 1994 and 1995, he played collegiate summer baseball with the Wareham Gatemen of the Cape Cod Baseball League, and returned to the league in 1996 to play with the Hyannis Mets.

He made his major league debut May 8, 2001, for the Tigers against the Texas Rangers.

Monterey High School (Lubbock, Texas)
Monterey High School is a 5A high school located in central Lubbock, Texas, United States (Monterey High School became a 6A school at the beginning of the 2014–2015 academic year per the UIL realignment announcement of February 2012).  Monterey is part of the Lubbock Independent School District.  Established in 1955, Monterey was the third high school to be established in Lubbock, after Lubbock High School and Dunbar High School. Dunbar was later changed to a Junior High.

The current city of Lubbock started from the merger of two separate communities, Old Lubbock and Monterey.  In a compromise move, the residents of Old Lubbock relocated to Monterey but renamed the new community Lubbock; the high school name is in remembrance to Lubbock's past.

In 2025, the school won the Girls Basketball 5A Division 2 State Championship.
I Want It All Now!
I Want It All Now! is a 1978 American documentary television special produced by NBC News about Marin County, California and the hedonistic and narcissistic lifestyle ostensibly characteristic of the affluent county. The program also explored the popularity of the human potential movement and new age ideologies in Marin, social problems such as suicide, alcoholism, and divorce associated with the Marin lifestyle, and the effect that this had on children growing up there. The program presented Marin as at the forefront of trends that were becoming more predominant in the larger American society in the late 1970s, and it represented an early snapshot of the lifestyle that a few years later would be termed "yuppie".

Narcissism
Narcissism is a self-centered personality style characterized as having an excessive preoccupation with oneself and one's own needs, often at the expense of others. Named after the Greek mythological figure Narcissus who fell in love with his own reflection, narcissism has evolved into a psychological concept studied extensively since the early 20th century, and it has been deemed highly relevant in various societal domains.

Narcissism exists on a continuum that ranges from normal to abnormal personality expression. While many psychologists believe that a moderate degree of narcissism is normal and healthy in humans, there are also more extreme forms, observable particularly in people who have a personality condition like narcissistic personality disorder (NPD), where one's narcissistic qualities become pathological, leading to functional impairment and psychosocial disability. It has also been discussed in dark triad studies, along with subclinical psychopathy and Machiavellianism.
Charles Marquet
Charles Marquet (1820 in Beziers – 1900 in Toulouse), was a French naturalist. He was especially active in the fields of entomology, ornithology and herpetology. He was employed at the Compagnie des Canons du Midi and he was a founder member of the Société d'histoire naturelle de Toulouse in 1866.

Béziers
Béziers (French: [bezje] ⓘ; Occitan: Besièrs) is a city in southern France. It is a subprefecture of the Hérault department in the Occitanie region. Every August Béziers hosts the famous Feria de Béziers, which is centred on bullfighting. A million visitors are attracted to the five-day event.

The town is located on a small bluff above the river Orb, about ten kilometres (six miles) from the Mediterranean coast and 75 kilometres (47 miles) southwest of Montpellier. At Béziers, the Canal du Midi passes over the river Orb by means of the Pont-canal de l'Orb, an aqueduct claimed to be the first of its kind.
City of Fire (band)
City of Fire is a Canadian metal band formed in 2008. Members include vocalist Burton C. Bell of Fear Factory, bassist Byron Stroud from Fear Factory, Strapping Young Lad and Zimmers Hole, and drummer Bob Wagner of Econoline Crush. So far, the band has released two studio albums.

Econoline Crush
Econoline Crush is a Canadian rock band from Vancouver, British Columbia, formed in 1992. They have released six studio albums and three studio EPs, and are best known for their charting singles such as "You Don't Know What It's Like", "Home", "Surefire (Never Enough)", "All That You Are (X3)", "Make It Right", and "Dirty". They achieved platinum status with the 1997 album The Devil You Know and also received two Juno nominations, in 1995 for Purge and in 1998 for The Devil You Know.

Vocalist Trevor Hurst has been the only consistent member of the band since its formation.
Lake Kildinskoye
Lake Kildinskoye (Russian: Кильдинское озеро) is a lake in Kolsky District, Murmansk Oblast, Russia. It is located in the east of the Kola Peninsula close to the confluence of the Tuloma River and Kola River, 13 kilometers (8.1 mi) south-east of the city of Murmansk. The lake is approximately 8 kilometers (5.0 mi) long and 1 kilometer (0.62 mi) wide. Lake Kildinskoye's proximity to Murmansk, European route E105, and Severomorsk-3 air base has made it a popular year-round tourism location used for various recreational purposes, including sailing regattas during the summer and wind surfing during the winter. Activities related to the Festival of the North, an annual winter sports festival held across Murmansk Oblast since 1934, are held on and round the lake when it is frozen over.

Kola (river)
The Kola (Russian: Кола) is a river on the Kola Peninsula in Murmansk Oblast, Russia. It is 83 kilometres (52 mi) long, and has a drainage basin of 3,850 square kilometres (1,490 sq mi). The river flows out of Lake Kolozero north into the Kola Bay of the Barents Sea, some 10 km south of Murmansk. The neighbouring river Tuloma has its mouth just one kilometer to the west. The average discharge is 40 m3/s, but there are large seasonal variations. Its largest tributaries is Kitza and Orlovka from the right, and Tukhta and Medvezhya from the left. The only town on the river is also called Kola.
Karlsruhe/Baden-Baden Airport
Karlsruhe/Baden-Baden Airport (IATA: FKB, ICAO: EDSB) (German: Flughafen Karlsruhe/Baden-Baden) is the international airport of Karlsruhe, the third-largest city in the German state of Baden-Württemberg, and also serves the spa town of Baden-Baden. It is the state's second-largest airport after Stuttgart Airport, and the 12th-largest in Germany with 2,257,542 passengers as of 2025 and mostly serves low-cost and leisure flights.

The airport itself is part of Baden Airpark, a business park with numerous other tenants. It is located in Rheinmünster, 40 km (25 mi) south of Karlsruhe, 12 km (7.5 mi) west of Baden-Baden, 25 km (16 mi) east of Haguenau and 25 km (16 mi) north of Strasbourg, France.

Spa town
A spa town is a resort town based on a mineral spa (a developed mineral spring). Patrons may visit spas to "take the waters" for their purported health benefits.

Thomas Guidott set up a medical practice in the English town of Bath in 1668. He became interested in the curative properties of the hot mineral waters there and in 1676 wrote A discourse of Bathe, and the hot waters there. Also, Some Enquiries into the Nature of the water. This brought the purported health-giving properties of the waters to the attention of the aristocracy, who started to partake in them soon after.

The term spa is used for towns or resorts offering hydrotherapy, which can include cold water or mineral water treatments and geothermal baths, and comes from the Belgian town Spa.
Dongchimi
Dongchimi (Korean: 동치미) is a variety of kimchi in Korean cuisine consisting of Korean radish, napa cabbage, scallions, pickled green chilli, ginger, Korean pear and watery brine . As the name dong (동; 冬; lit. winter) and chimi (치미, an ancient term for "kimchi"), suggests, this kimchi is traditionally consumed during the winter season.

Dongchimi is fermented like other varieties of kimchi, but its maturing period is relatively short (2–3 days). Although it can be made at any time of the year, it is usually made during the gimjang season. The northern regions, particularly Hamgyong Province and Pyongan Province in North Korea, are particularly famous for their dongchimi.
The clear and clean taste of the watery dongchimi is used as a soup for making dongchimi guksu (동치미국수 cold noodle soup made with dongchimi) and naengmyeon, or served with tteok or steamed sweet potatoes to balance out the rich flavors.

Scallion
Scallions (also known as green onions and spring onions) are edible vegetables of various species in the genus Allium. Scallions generally have a milder taste than most onions. Green onions/scallions have a long, delicate green stem that is white near the root. They have no bulb and a mild, sweet onion flavour. Their close relatives include garlic, shallots, leeks, chives, and Chinese onions. The leaves are eaten both raw and cooked.

Scallions produce hollow, tubular, green leaves that grow directly from the bulb, which does not fully develop. This is different to other Allium species where bulbs fully develop, such as commercially available onions and garlic. True spring onions look similar to green onions, but have a distinctive white bulb at the base.
Thelma (2017 film)
Thelma is a 2017 supernatural thriller drama film directed by Joachim Trier, who co-wrote the screenplay with Eskil Vogt. The film stars Eili Harboe, Kaya Wilkins, Henrik Rafaelsen, and Ellen Dorrit Petersen. Thelma tells the story of a sheltered young woman who discovers she has an inexplicable power that materializes when she feels desire for a female student at her university.

Thelma was selected as the Norwegian entry for the Academy Award for Best Foreign Language Film at the 90th Academy Awards, but did not receive the nomination.

Thunderbird Entertainment
Thunderbird Entertainment, Inc. is a television and animation production company headquartered in Vancouver, British Columbia. Founded in 2003 as Thunderbird Films, it produces scripted, unscripted, and animated programming for domestic and international broadcasters and streaming platforms.

With offices in Toronto, Los Angeles and Ottawa, the firm operates several subsidiaries, including Atomic Cartoons, Great Pacific Media, and Thunderbird Releasing. On January 28, 2026, it was announced that Blue Ant Media had completed its acquisition of Thunderbird.
Mihir
Mihir is a given name. Notable people with the given name include:

Mihir Bose, British Indian journalist and author

Mihir Das, Indian actor

Mihir Desai, Indian human rights lawyer

Mihir A. Desai, American economist

Mihir Diwakar (born 1982), Indian cricketer

Mihir Goswami, Indian politician

Mihir Hirwani (born 1994), Indian cricketer

Mihir Joshi (born 1981), Indian singer and television anchor

Mihir Kanti Shome, Indian politician

Mihir Mishra, Indian television actor

Mihir Rakshit (born 1936), Indian economist

Mihir Sen (1930–1997), Indian long distance swimmer

Mihir Sengupta, Indian writer

Mihir Shah, Indian economist

Mihir Sharma, Indian economist

Mihir is also used as a title see Mihir (title)

Mihir Kanti Shome
Mihir Kanti Shome is a Bharatiya Janata Party politician from Assam, India. He has been elected in Assam Legislative Assembly election in 2016 from Udharbond constituency. He currently resides in Kumbhirgram. His father was a well known social worker of the area.
South African National Accreditation System
The South African National Accreditation System (SANAS) is the official laboratory accreditation body for South Africa. Founded in 1996, SANAS is headquartered in Pretoria, South Africa. SANAS accreditation certificates are a formal recognition by the Government of South Africa that an organisation is competent to perform specific tasks.

SANAS provides formal recognition to

Laboratories (testing and calibration) to ISO/IEC 17025 and medical laboratories to ISO/IEC 17025 and/or ISO 15189

Certification bodies for Quality Management Systems and Environmental Management Systems to ISO/IEC 17021 (and the IAF interpretation),

Inspection bodies to ISO/IEC/17020.

Proficiency testing scheme providers

Good Laboratory Practice (GLP) test facilities for compliance to OECD GLP principles

Good laboratory practice
The Principles of Good Laboratory Practice (GLP) establish rules and criteria for a quality system that oversees the organizational processes and conditions in which non-clinical (non-pharmaceutical) health and environmental safety–or simply  toxicology–studies are planned, conducted, monitored, recorded, reported, and archived. These principles apply to the toxicity testing of chemicals in commerce, to ensure the quality and integrity of the safety data submitted by manufacturers to regulatory authorities globally.
Juba Initiative Project
The Juba Initiative Project is an ad hoc funding mechanism funded by several world donors, to support the peace talks between the Government of Uganda and the opposition group Lord's Resistance Army, which resumed in Juba, Southern Sudan, in May 2007.

The revived talks, mediated and hosted by the Government of Southern Sudan, are supported by the Special Representative of the United Nations Secretary-General for LRA-affected areas, Joaquim Chissano.  Logistic support is provided by the United Nations Office for the Coordination of Humanitarian Affairs, whose Juba office is headed by Eliane Duthoit.  OCHA manages the fund on behalf of the Southern Sudan Government.

Juba
Juba is the capital and largest city of South Sudan. The city is situated on the White Nile and also serves as the capital of the Central Equatoria State. It is the most recently declared national capital and had a population of 525,953 in 2017. It has an area of 52 km2 (20 sq mi), with the metropolitan area covering 336 km2 (130 sq mi).

Juba was established in 1920–21 by the Church Missionary Society (CMS) in a small Bari village, also called Juba. The city was made the capital of Mongalla Province in the late 1920s. The growth of the town accelerated following the signing of the Comprehensive Peace Agreement in 2005, which made Juba the capital of the Autonomous Government of Southern Sudan. Juba became the capital of South Sudan in 2011 after its independence, but influential parties wanted Ramciel to be the capital. The government announced the move of the capital to Ramciel, but it has not yet occurred.
The Act (video game)
The Act is an interactive movie arcade video game originally produced by American studio Cecropia in the United States in 2007.  The game is an interactive cartoon featuring the hand-drawn art of a number of former Disney animators.  It was test marketed in selected locations throughout North America in 2006, and it received generally favorable press coverage. The game was cancelled in late 2007, and Cecropia shut its doors in early 2008. The game was later ported to iOS and OSX by React Entertainment and published by Chillingo in June 2012.

Test market
A test market, in the field of business and marketing, is a geographic region or demographic group used to gauge the viability of a product or service in the mass market prior to a wide scale rollout.  The criteria used to judge the acceptability of a test market region or group include:

a population that is demographically similar to the proposed target market; and

relative isolation from densely populated media markets so that advertising to the test audience can be efficient and economical.
JaCorey Williams
JaCorey Williams (born June 12, 1994) is an American professional basketball player for Maroussi of the Greek Basketball League. He played college basketball at Middle Tennessee State University, where he was named the Conference USA Player of the Year in 2017.

Hapoel Jerusalem B.C.
Hapoel Jerusalem Basketball Club (Hebrew: מועדון כדורסל הפועל ירושלים), known for sponsorship reasons as Hapoel Midtown Jerusalem (הפועל מידטאון ירושלים), is a professional basketball club based in  the City of Jerusalem, and competes in the Israeli Basketball Premier League (the top tier of Israeli basketball), the Israeli State Cup, and the EuroCup. It has won several titles, including the ULEB Cup (now called EuroCup) in 2004, the Israeli Basketball Premier League championship in 2015 and 2017, and seven state Cups. In 2013, a new ownership group took over, and the club has since seen a remarkable advancement and expansion. The team began playing in the Pais Arena in 2014.
1950 Southern Conference men's basketball tournament
The 1950 Southern Conference men's basketball tournament took place from March 1–3, 1950 at the Duke Indoor Stadium in Durham, North Carolina. The North Carolina State Wolfpack, led by head coach Everett Case, won their fifth Southern Conference title and received the automatic berth to the 1950 NCAA tournament.

Cameron Indoor Stadium
Cameron Indoor Stadium is an indoor arena located on the campus of Duke University in Durham, North Carolina. The 9,314-seat facility is the primary indoor athletic venue for the Duke Blue Devils and serves as the home court for Duke men's and women's basketball and women's volleyball. It opened in January 1940 and was known as Duke Indoor Stadium until 1972, when it was named for Eddie Cameron, who served at Duke as men's basketball coach from 1928 to 1942, as football coach from 1942 to 1945, and as athletic director from 1951 to 1972. The arena is located adjacent to its predecessor, Card Gymnasium, which opened in 1930.
Adrian Cunningham
Adrian Cunningham (born 1960) is an Australian archivist who worked for many years at the National Archives of Australia.  He is known for his contributions to the practice of digital records management, including development of international standards in this field.

International Council on Archives
The International Council on Archives (ICA; French: Conseil international des archives; Spanish: Consejo Internacional de Archivos) is an international non-governmental organization which exists to promote international cooperation for archives and archivists. It was set up on 9 June 1948, with Charles Samaran, the then director of the Archives nationales de France, as chairman, and membership is open to national and international organisations, professional groups and individuals. In 2024, it grouped together about 2,000 institutional members in 149 countries and territories. Its mission is to promote the conservation, development and use of the world's archives.

ICA has close partnership links with UNESCO, and is a founding member of the Blue Shield, which works to protect the world's cultural heritage threatened by wars and natural disasters, and which is based in The Hague.