hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Structure theorem for Gaussian measures
In mathematics, the structure theorem for Gaussian measures shows that the abstract Wiener space construction is essentially the only way to obtain a strictly positive Gaussian measure on a separable Banach space. It was proved in the 1970s by Kallianpur–Satô–Stefan and Dudley–Feldman–le Cam.

There is the earlier result due to H. Satô (1969)  which proves that "any Gaussian measure on a separable Banach space is an  abstract Wiener measure in the sense of  L. Gross". The result by Dudley et al. generalizes this result to the setting of Gaussian measures on a general topological vector space.

Banach space
In mathematics, more specifically in functional analysis, a Banach space (/ˈbɑː.nʌx/, Polish pronunciation: [ˈba.nax]) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vectors and is complete in the sense that a Cauchy sequence of vectors always converges to a well-defined limit that is within the space.

Banach spaces are named after the Polish mathematician Stefan Banach, who introduced this concept and studied it systematically in 1920–1922 along with Hans Hahn and Eduard Helly.
Maurice René Fréchet was the first to use the term "Banach space" and Banach in turn then coined the term "Fréchet space".
Banach spaces originally grew out of the study of function spaces by Hilbert, Fréchet, and Riesz earlier in the century. Banach spaces play a central role in functional analysis. In other areas of analysis, the spaces under study are often Banach spaces.
Mount Clemenceau
Mount Clemenceau is the fourth highest mountain in the Park Ranges of the Canadian Rockies. The peak was originally named "Pyramid" in 1892 by Arthur Coleman. The mountain was renamed by the Interprovincial Boundary Survey in 1919 to its present name, which is for Georges Clemenceau, premier of France during World War I.

Mount Clemenceau was first climbed in 1923 by D.B. Durand, H.S. Hall, W.D. Harris and H.B. De V. Schwab.

Park Ranges
The Park Ranges, also known as the Main Ranges, are a group of mountain ranges in the Canadian Rockies of southeastern British Columbia and southwestern Alberta, Canada. It is one of the three main subranges and the most central of the Continental Ranges, extending from southeast of Mount McGregor to the Fernie Basin.
2013 Hockey East men's ice hockey tournament
The 2013 Hockey East Men's Ice Hockey Tournament was the 29th tournament in the history of the conference. It was played between March 14 and March 13, 2013 at campus locations and the TD Garden in Boston, Massachusetts. The Massachusetts–Lowell River Hawks won their first Hockey East Tournament and earned the Hockey East's automatic bid into the 2013 NCAA Division I Men's Ice Hockey Tournament.

Hockey East men's ice hockey tournament
The Hockey East Men's Tournament is the conference tournament for the men's division of the Hockey East, an NCAA Division I men's ice hockey conference that has operated since 1984. The winner of the tournament receives an automatic berth into the NCAA Tournament and the Lamoriello Trophy.
Kentucky Route 922
Kentucky Route 922 (KY 922) is a 20.201 miles (32.510 km) long state highway in northern Kentucky. The southern terminus of the route is at U.S. Route 27 and U.S. Route 68 in Lexington. The northern terminus is at Kentucky Route 620 north of Georgetown. From US 27/68 north to US 25, KY 922 is named Oliver Lewis Way. From US 25 north to U.S. Route 62, it is named Newtown Pike. Between New Circle Rd (KY 4) and Interstate 75, Newtown Pike is one of the most congested routes during rush hour.

U.S. Route 68
U.S. Route 68 (US 68) is a United States highway that runs for 560 miles (900 km) from northwest Ohio to Western Kentucky. The highway's western terminus is at US 62 in Reidland, Kentucky. Its present eastern terminus is at Interstate 75 in Findlay, Ohio, though the route once extended as far north as Toledo. US 68 intersects with US 62 three times during its route.
2009–10 FA Women's Premier League Cup
The 2009–10 FA Women's Premier League Cup was the 19th edition of the FA Women's Premier League Cup, a cup tournament for teams at both levels of the FA Women's Premier League (level 1, the National Division, and level 2, the Northern and Southern Divisions). The 2010 cup final was won by Leeds United, who defeated Everton 3–1.

This was the last season of the Women's Premier League Cup as a top-level competition, before the formation of the FA Women's Super League in 2011 as the new top flight. Subsequently, three of the four semi-finalist teams in 2009–10 (Arsenal, Chelsea and runners-up Everton) moved to the Super League and did not compete in the next season's FA WPL. The WPL Cup in 2010–11 was contested by clubs at women's levels 2 and 3.

2010–11 FA Women's Premier League Cup
The 2010–11 FA Women's Premier League Cup was the 20th edition of the FA Women's Premier League Cup, a cup tournament for teams both levels of the Women's Premier League, the National Division and the Northern and Southern Divisions, the second and third level of English women's football respectively.

This was the first season of the cup following the demotion of the FA Women's Premier League National Division from the highest level of women's football in England; it became the second tier due to the creation of the FA Women's Super League in 2011. As a result, a number of previous competitors such as Arsenal did not compete in the Premier League Cup.

The cup was won by National Division side Barnet, who defeated Nottingham Forest 4–3 on penalties after the match finished 0–0 after extra time.
Budslaw
Budslaw or Budslau is an agrotown in Myadzyel District, Minsk Region, Belarus. It is located 150 kilometres (93 mi) north of the capital Minsk.

The main landmark is the Catholic Minor Basilica of the Assumption of the Blessed Virgin Mary consecrated in 1643. The church is known for the icon of Our Lady of Budslau. The annual celebration in honor of the icon (Budslaw Fest), which takes place on July 2, was added to the UNESCO Intangible Cultural Heritage List in 2018.

Myadzyel district
Myadzyel district or Miadziel district (Belarusian: Мядзельскі раён, romanized: Miadzielski rajon; Russian: Мядельский район) is a district (raion) of Minsk region in Belarus. Its administrative center is the town of Myadzyel. As of 2024, it has a population of 24,326.

Four of the main lakes of Belarus are situated in this district: Narach (the largest one), Svir (8th largest), Myadel (11th largest) and Myastro (15th largest).
Mikey Whiplash
Michael John Gilbert (born 16 July 1980) is a professional wrestler, best known by his ring name Mikey Whiplash. He resides in Glasgow, Scotland, and has wrestled for numerous promotions on the British Independent circuit.

Gilbert was the owner and promoter of two Glasgow-based wrestling ventures: Fierce Females and Source Wrestling school. He ceased involvement with Fierce Females following abuse allegations stemming from the Speaking Out movement and explicit messages sent to a young trainee.

ICW Zero-G Championship
The ICW Zero-G Championship is a professional wrestling junior heavyweight championship owned by United Kingdom's Insane Championship Wrestling promotion. The title was first established as the Zero Gravity Championship at Fear & Loathing III  on 21 November 2011, with Noam Dar becoming the inaugural champion.
Ramavarmapuram
Ramavarmapuram is the northern suburb of Thrissur City in Kerala. It is home to several governmental and other institutions. The largest menhir type megalithic monument in granite in Kerala is found there.

At the time of the founding of a broadcasting station of All India Radio in Thrissur, the place where the station was established was renamed as Ramavarmapuram. Prior to that the place was known as Anappara. The original place name is still used locally. Over the years the place specified as Ramavarmapuram expanded to include the entire region in the northern suburbs of Thrissur City. After of the formation of Thrissur Municipal Corporation in September 2000, one of the fifty-two divisions of the city has been named Ramavarmapuram.

Viyyoor
Viyyoor is a residential area situated in the city of Thrissur in Kerala state of India. Viyyur is Ward 4 of Thrissur Municipal Corporation. It is dotted by a number of temples, churches, Mosques and is surrounded by lush greenery. It is about 4 km from Swaraj Round. It has one of the three central jails in Kerala, Viyyoor Central Jail, which opened its gates for public in July 2018.
2023 International Challenger Zhangjiagang
The 2023 International Challenger Zhangjiagang was a professional tennis tournament played on hard courts. It was the fourth edition of the tournament which was part of the 2023 ATP Challenger Tour. It took place in Zhangjiagang, China between 28 August and 3 September 2023.

International Challenger Zhangjiagang
The International Challenger Zhangjiagang is a professional tennis tournament played on hard courts. It is currently part of the ATP Challenger Tour. It is held annually in Zhangjiagang, China since 2017. The prize for the tournament is $80,000 USD.
Chris Koster
Christopher Andrew Koster (born August 31, 1964) is an American lawyer and politician who served as the 41st Attorney General of Missouri from 2009 to 2017. Before that, Koster was elected three times as prosecuting attorney of Cass County, Missouri, and served four years as state senator from Missouri's 31st Senatorial district.

In 2016, Koster was the Democratic nominee for Governor of Missouri and was defeated by Republican nominee Eric Greitens in the general election. After completing his terms as attorney general, Koster joined Centene Corporation, where he currently serves as Executive Vice President, Secretary, and General Counsel.

Missouri Attorney General
The Office of the Missouri Attorney General was created in 1806 when Missouri was part of the Louisiana Territory. Missouri's first Constitution in 1820 provided for an appointed attorney general, but since the 1865 Constitution, the Attorney General has been elected. As of September 2025 there have been 45 attorneys general in Missouri.

By law, the attorney general is a member of the Board of Fund Commissioners, the Board of Public Buildings, the Governor's Committee on Interstate Cooperation, the Missouri Highway Reciprocity Commission and the Missouri Housing Development Commission.

Offices of the Attorney General are located throughout the state of Missouri with the main office being in the Supreme Court building in Jefferson City.
St. Andrew's cross (philately)
In philately, a St. Andrew's cross is a saltire (an heraldic ordinary) or crossed x design that occurs on some philatelic items; on a few sheets of stamps, censor labels and a few British Forces air letter sheets issued during World War II.

Saltire
A saltire, also called Saint Andrew's Cross or the crux decussata, is a heraldic symbol in the form of a diagonal cross. The word comes from the Middle French sautoir, Medieval Latin saltatoria ("stirrup").

From its use as field sign, the saltire came to be used in a number of flags, in the 16th century for Scotland and Burgundy, in the 18th century also as the ensign of the Russian Navy, and for Ireland. Notable 19th-century usage includes some of the flags of the Confederate States of America. It is also used in the flag of Jamaica and on seals, and as a heraldic charge in coats of arms.

The term saltirewise or in saltire refers to heraldic charges arranged as a diagonal cross. The shield may also be divided per saltire, i.e. diagonally.

A warning sign in the shape of a saltire is also used to indicate the point at which a railway line intersects a road at a level crossing.
Andy Scott (saxophonist)
Andy Scott (born 15 June 1966 in Bournemouth) is a British tenor saxophonist, "equally at home in jazz and classical contexts", and award-winning composer who has made "important and sometimes mould-breaking contributions to the repertoire". He is currently Composer in Residence for Foden's Band. He has played with the Halle Orchestra, has formed and played with several ensembles whose musical style is rooted in big band jazz, Latin and funk.

Royal Northern College of Music
The Royal Northern College of Music (RNCM) is a conservatoire in Manchester, England. It is one of four conservatoires associated with the Associated Board of the Royal Schools of Music. In addition to being a centre of music education, the RNCM is a busy and diverse public performance venue.
Rachid Belhout
Rachid Belhout (Arabic: رشيد بلحوت; June 14, 1944 – August 9, 2020) was an Algerian football manager and player. At the time of his death, he was managing Al-Ahly Benghazi in the Libyan Premier League.

2010–11 Algerian Cup
The 2010–11 Algerian Cup was the 47th edition of the Algerian Cup. JS Kabylie won the Cup by defeating USM El Harrach 1–0 in the final with a goal from Farès Hamiti in the 13th minute. It was the fifth time in the club's history that JS Kabylie won the Algerian Cup.

On 7 December 2010, the draw for the Round of 64 was held.
1996 Dimapur car bombing
The 1996 Dimapur car bombing occurred on 25 December 1996, when the NSCN-IM detonated a powerful car bomb triggered from remote control in the Ara Mile neighbourhood of Dimapur, Nagaland in an attempted assassination on Kihoto Hollohon, the then Minister of Industries & Commerce of Nagaland. Hollohon escaped as he was not in the vehicle. The blast killed his wife, daughter, granddaughter, grandson and one other on the spot.

Dimapur
Dimapur (/diməˈpʊər/) is the largest city and municipality in the Indian state of Nagaland. As of 2024 , the municipality had a population of 172,000. The city is the main gateway and commercial centre of Nagaland. It is located near the border with Assam, along the banks of the Dhansiri River. Its main railway station is the second busiest station in Northeast India. It was an important logistics and supply hub for the Allied forces during the Second World War.
Lake DuBay
Lake DuBay is a reservoir on the Wisconsin River in Marathon and Portage Counties in the U.S. state of Wisconsin. The lake covers an area of 6,700 acres (2,700 ha) and has a maximum depth of 30 feet (9.1 m). A dam on the lake is used to generate hydroelectric power. The community of Knowlton is located on the shore of the lake, as are 122 homes and three parks. Interstate 39 and U.S. Route 51 provide access to the lake, as do several county highways. While the lake is frozen in winter, it is used for ice racing by the "Winter Thunder Club".

Wisconsin River
The Wisconsin River is the longest river in the U.S. state of Wisconsin, at approximately 430 miles (692 km) long. As a tributary of the Mississippi River, it is part of the Mississippi River System. The river's name was first recorded in 1673 by Jacques Marquette as "Meskousing" from his Indian guides - most likely Miami for "river running through a red place."

The river has been used for transportation, hunting, and fishing since prehistoric times. In the lumber industry, loggers used the upper reaches of the river and its tributaries to drive logs to their sawmills and the lower reaches to float rafts of sawn boards to markets as near as Portage and as far as St. Louis. Today, it is source of energy and tourism: dams along the river generate hydroelectric power, and people fish, boat, water-ski and sight-see on the river. It is home to many species of fish and other wildlife.
1-63 Windmill Street, Millers Point
1–63 Windmill Street, Millers Point is a heritage-listed residence located at 1–63 Windmill Street, in the inner city Sydney suburb of Millers Point in the City of Sydney local government area of New South Wales, Australia. The property is privately owned. It was added to the New South Wales State Heritage Register on 2 April 1999.

Millers Point, New South Wales
Millers Point is an inner-city suburb of Sydney, in the state of New South Wales, Australia. It is on the north-western edge of the Sydney central business district, adjacent to The Rocks and is part of the local government area of the City of Sydney.

Millers Point lies on the southern shore of Sydney Harbour, beside Darling Harbour. The Barangaroo development is taking place on 22 hectares of land on the western side of the suburb. Millers Point historically includes what are now known as the suburbs of Dawes Point and Barangaroo and the renaming of those parts of Millers Point is controversial. The original headland of Millers Point is now known as Barangaroo Reserve, though the point itself has been returned to its original name.
Star Wars Battle Pod
Star Wars Battle Pod is a 2014 rail shooter video game developed and published by Bandai Namco Games for arcades. Based on the Star Wars franchise, it was unveiled at New York Comic Con on October 8, 2014.

Rail shooter
Rail shooter, also known as on-rails shooter, is a subgenre of shoot 'em up video game. Beginning with arcade games such as the 1985 Space Harrier, the gameplay locks the player character into a set path, only allowing for limited or no divergence from it, in a manner similar to a theme park dark ride, which is typically on train tracks. While moving on this path, players must aim and shoot enemies while dodging projectiles and avoiding damage.

Many rail shooters feature a flying protagonist or ship. Some take place while walking, running or driving. While rail shooters saw a resurgence on the Wii due to its Wii Remote control scheme, new games in the genre are considered a rarity in the modern day, although many games of other genres contain rail shooter segments.
Japanese submarine I-60
I-60 was an Imperial Japanese Navy Kaidai-class cruiser submarine of the KD3B sub-class commissioned in 1928. In 1939, she was involved in a collision that sank her sister ship I-63. She served in World War II, supporting Japanese forces during the Dutch East Indies campaign in early 1942 until she was sunk by a British destroyer on 17 January 1942 during her first war patrol.

Kaidai-type submarine
The Kaidai-type submarine (海大型潜水艦, Kaidai-gata sensuikan) was a type of first-class submarine operated by the Imperial Japanese Navy (IJN) before and during World War II. The type name was shortened to Kaigun-shiki Ōgata Sensuikan (海軍式大型潜水艦) Navy Large Type Submarine.

All Kaidai-class submarines originally had a two-digit boat name, from I-51 onwards. On 20 May 1942, all Kaidai submarines added a '1' to their names. For example, I-52 became I-152. Ships are listed by the three-digit boat name if they had one, two-digit if they were not granted one or left service before 20 May 1942.
Takeoff/go-around switch
A takeoff/go-around switch (TO/GA or TOGA; /ˈtoʊɡə/) is a switch on the autothrottle of modern large aircraft, with two modes: takeoff (TO) and go-around (GA). The mode is dependent on the phase of flight; usually, on approach to land, the autopilot will be set to approach mode, therefore if the TO/GA switch is pressed it will activate the go-around mode of the autothrottle (about 90–92% N1), if pressed again, go around thrust will increase to full (100+% N1); conversely, when takeoff is set on the autopilot, the switch activates takeoff mode of the autothrottle. On Boeing aircraft, TO/GA modes are selected by a separate button near the throttle levers; on Airbus aircraft, it is activated by advancing the thrust levers forward to the TO/GA detent.

Autothrottle
An autothrottle (automatic throttle; also known as autothrust, A/T, or A/THR) is a system that allows a pilot to control the power setting of an aircraft's engines by specifying a desired flight characteristic, rather than manually controlling the fuel flow. The autothrottle can greatly reduce the pilots' workload and help conserve fuel and extend engine life by metering the precise amount of fuel required to attain a specific target indicated air speed, or the assigned power for different phases of flight. A/T and AFDS (Auto Flight Director Systems) can work together to fulfill the whole flight plan.
1990 Norstar Bank Hamlet Challenge Cup
The 1990 Norstar Bank Hamlet Challenge Cup was a tennis tournament played on outdoor hard courts. It was the 10th edition of the event (the first as a professional tournament and not an exhibition) known that year as the Norstar Bank Hamlet Challenge Cup, and was part of the ATP World Series of the 1990 ATP Tour. It took place at the Hamlet Golf and Country Club in Commack, Long Island, New York, United States, from August 20 to August 26, 1990.

The singles field was headlined by new world No. 1, Australian Open runner-up, Wimbledon champion, Indian Wells and Cincinnati titlist Stefan Edberg, French Open champion, Barcelona and Madrid winner Andrés Gómez, and Rotterdam and Orlando titlist Brad Gilbert. Other seeded players were Philadelphia and Manchester winner Pete Sampras, Stuttgart titlist Goran Ivanišević, John McEnroe, Jonas Svensson and Guy Forget.

First-seeded Stefan Edberg won the singles title and earned $32,800 first-prize money.

1990 Ebel U.S. Pro Indoor
The 1990 U.S. Pro Indoor (known as the Ebel U.S. Pro Indoor in 1990 for sponsorship reasons) was a men's tennis tournament played on indoor carpet courts. It was the 23rd edition of the event known that year as the Ebel U.S. Pro Indoor, and was part of the ATP Championship Series, double-week events of the 1990 ATP Tour, running concurrently with the 1990 Eurocard Classic. It took place at the Spectrum in Philadelphia, Pennsylvania, United States, from February 19 to February 25, 1990. Pete Sampras, who was seeded 13th, won the singles title.
Oakamoor railway station
Oakamoor railway station is a closed railway station in the Churnet Valley, Staffordshire.  The station was opened in 1849 as part of the Churnet Valley Line constructed by the North Staffordshire Railway.  Serving the village of Oakamoor the station remained open until 1965 when all services were withdrawn,   A little north of the station, freight traffic from Oakamoor Sand Sidings continued until 1988.

From 1917 until 1963 shunting in these sidings was performed by a battery-electric locomotive, built on a wagon chassis. This has now been preserved at the National Railway Museum.

Churnet Valley line
The Churnet Valley line was one of the three original routes planned and built by the North Staffordshire Railway. Authorised in 1846, the line opened in 1849 and ran from North Rode in Cheshire to Uttoxeter in East Staffordshire. The line was closed in several stages between 1964 and 1988 but part of the central section passed into the hands of a preservation society and today operates as the Churnet Valley Railway.
Maria Amapola Cabase
Maria Amapola Cabase, better known by her stage name Amapola, is a Filipina singer, actress, musician, television and radio host. She is widely known in the Philippines as the original artist for the song "Kapantay ay Langit", which was later popularized by Pilita Corrales. Philippine First Lady Imelda Marcos dubbed Cabase as a "Music Ambassador" for the country in 1973 in celebration of Amapola's first concert in New York, November 3, 1973, at New York's Town Hall. In 1984, she released her international debut album produced in collaboration with jazz pianist Bobby Enriquez, who led the Cal Tjader Trio for Amapola's debut jazz album, Sophisticated Lady.

Awit Awards
The Awit Awards are music awards in the Philippines given annually by the Philippine Association of the Record Industry (PARI) to recognize the outstanding achievements in the music industry. The word "Awit" means "song" literally in Tagalog.

The first awards were given in 1969 at a ceremony in Makati. After three awards ceremonies were held, the Awit Awards were discontinued in 1972. In 1988, PARI brought back the awards and today, the organization still handles these awards.