hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Bell series
In mathematics, the Bell series is a formal power series used to study properties of arithmetical functions. Bell series were introduced and developed by Eric Temple Bell.

Given an arithmetic function  and a prime , define the formal power series , called the Bell series of  modulo   as:

Two multiplicative functions can be shown to be identical if all of their Bell series are equal; this is sometimes called the uniqueness theorem: given multiplicative functions  and , one has  if and only if:

for all primes .

Two series may be multiplied (sometimes called the multiplication theorem): For any two arithmetic functions  and , let  be their Dirichlet convolution.  Then for every prime , one has:

In particular, this makes it trivial to find the Bell series of a Dirichlet inverse.

If  is completely multiplicative, then formally:

Eric Temple Bell
Eric Temple Bell (7 February 1883 – 21 December 1960) was a mathematician, educator and science fiction writer who lived in the United States for most of his life. He published non-fiction using his given name and fiction as John Taine.
The Margaret Fulton Cookbook
The Margaret Fulton Cookbook is a cookbook by Australian cook and writer Margaret Fulton.

It was first published by Paul Hamlyn in 1968. It was an instant success. In its first year of publication, more than 200,000 copies were sold. By 1978 it had sold "more than two-thirds of a million copies".

It was Fulton's first published book; one and a half million copies of the book have been sold.

A new updated version was published in 2018 to celebrate the 50th Anniversary of her original cookbook.

Margaret Fulton
Margaret Isobel Fulton OAM (6 October 1924 – 24 July 2019) was a Scottish-born Australian food and cooking writer, journalist, author and commentator. She was the first of this genre of writers in Australia.

Fulton's early recipes encouraged Australians to alter their traditional staple of "meat and three vegetables" and to be creative with food. She encouraged international cuisine from places such as Spain, Italy, India and China. As the cookery editor of the Woman's Day magazine, she "brought these into Australian homes through her articles."

Although she did some television work, Fulton mainly concentrated on writing, because she felt it was her higher talent.
Montérolier–Buchy station
The Gare de Montérolier–Buchy (Montérolier-Buchy station) is a railway station in the commune of Montérolier in the Seine-Maritime department, France and near Buchy. The station is a stop on the Amiens–Rouen railway, and is the terminus a line to Motteville. It was also the terminus of the branch line to Saint-Saëns, which has been closed and removed.

Buchy, Seine-Maritime
Buchy (French pronunciation: [byʃi]) is a commune in the Seine-Maritime department in the Normandy region in northern France. On 1 January 2017, the former communes of Bosc-Roger-sur-Buchy and Estouteville-Écalles were merged into Buchy.

The inhabitants of the town of Buchy are called Buchois, Buchoises in French.
Amanda Woodward (Melrose Place)
Amanda Woodward is a fictional character on the primetime serial drama Melrose Place, portrayed by Heather Locklear. The character was brought onto the show in order to boost its ratings, a ploy that was successful. Amanda was brought back for The CW's 2009 reboot, but her appearance was not enough to prevent the show's cancellation.

Entertainment Weekly named Amanda one of the 100 Greatest Characters of the Last 20 Years. AOL ranked her the 37th Most Memorable Female TV Character. She was also included in TV Guide's list of the "best TV bitches", and their 2013 list of The 60 Nastiest Villains of All Time. In 2016, Rolling Stone ranked her #20 of their "40 Greatest TV Villains of All Time".

Melrose Place (2009 TV series)
Melrose Place is an American drama television series that aired on The CW from September 8, 2009, to April 13, 2010. The series is a revival of the 1990s Fox series of the same name and is the fifth series in the Beverly Hills, 90210 franchise. The show follows the lives of a group of young adults living at the fictitious Melrose Place apartment complex in West Hollywood, California. Smallville producers Todd Slavkin and Darren Swimmer were showrunners of the series.

The series was met with mixed reviews from critics. Due to low ratings, it was cancelled by The CW on May 20, 2010, after one season.
Andreas von Gundelsheimer
Andreas von Gundelsheimer (ca. 1668 – 17 June 1715) was a German physician and botanist born in Feuchtwangen.

He obtained his medical doctorate in Altdorf bei Nürnberg, afterwards spending several years working in Venice. Later in Paris he made the acquaintanceship of botanist Joseph Pitton de Tournefort (1656-1708). In 1700-02 with Tournefort and painter Claude Aubriet (1665-1742), he journeyed to Asia Minor and Armenia on a research expedition. His large collection of plants gathered from the expedition were sent to herbaria in Berlin and Munich.

In 1703 he settled in Berlin, where he subsequently became a physician to Prussian royalty. He died on 17 June 1715, while accompanying King Friedrich Wilhelm I to Stettin.

Claude Aubriet
Claude Aubriet (c. 1651 or 1665 – 3 December 1742) was a French illustrator and botanical artist. The standard author abbreviation Aubriet is used to indicate this person as the author when citing a botanical name.
Box–Jenkins method
In time series analysis, the Box–Jenkins method, named after the statisticians George Box and Gwilym Jenkins, applies autoregressive moving average (ARMA) or autoregressive integrated moving average (ARIMA) models to find the best fit of a time-series model to past values of a time series.

George E. P. Box
George Edward Pelham Box FRS (18 October 1919 – 28 March 2013) was a British statistician, who worked in the areas of quality control, time-series analysis, design of experiments, and Bayesian inference.  He has been called "one of the great statistical minds of the 20th century". He is famous for the quote "All models are wrong but some are useful".
Side (Caria)
Side (Ancient Greek: Σίδη). also known as Sibde (Σίβδη), was a town of ancient Caria. According to Pliny the Elder, Alexander the Great united in Halicarnassus six cities by synoecism, including Side, next to Theangela, Medmasa, Uranium, Pedasa, and Telmissus. Strabo, however, points out that this synoecism would have been carried out earlier, during the reign of Mausolus (c. 370 BCE).

Its site is tentatively located near Alazeytin, Turkey.

Caria
Caria (/ˈkɛəriə/; from Greek: Καρία, Karia; Turkish: Karya) was a region of western Anatolia extending along the coast from mid-Ionia (Mycale) south to Lycia and east to Phrygia. The Carians were described by Herodotus as being Anatolian mainlanders and they called themselves Caria because of the name of their king. He reports the Carians themselves maintained that they were Anatolian mainlanders intensely engaged in seafaring and were akin to the Mysians and the Lydians. The Carians spoke Carian, a native Anatolian language closely related to Luwian. Also closely associated with the Carians were the Leleges, which could be an earlier name for Carians.
Help Me Make It Through the Night
"Help Me Make It Through the Night" is a country ballad written and composed by Kris Kristofferson and released on his 1970 album Kristofferson. It was covered later in 1970 by Sammi Smith, on the album Help Me Make It Through the Night.  In 1982, Kris did a re-recording with Brenda Lee for the compilation album The Winning Hand.  It has been covered since by many other artists from Tammy Wynette and Johnny Cash to Elvis Presley, Joan Baez, Bryan Ferry, Mark Eitzel, Tyler Childers and Engelbert Humperdinck also as a duet between Michael Bublé and Loren Allred.

Help Me Make It Through the Night (Sammi Smith album)
Help Me Make It Through the Night is the debut studio album released by American country artist Sammi Smith. The album was originally released in September 1970 on Mega Records and was produced by Jim Malloy. The album was originally named He's Everywhere but was renamed Help Me Make It Through the Night due to the popularity of that track, which reached number one on the Billboard country music chart and the Top 10 on the Billboard Hot 100 chart. The album comprised Smith's first recordings for the Mega label.
William "Smitty" Pignatelli
William "Smitty" Pignatelli (born August 31, 1959) is an American politician who served as a member of the Massachusetts House of Representatives, representing the 4th Berkshire District and later the 3rd Berkshire District.

Massachusetts House of Representatives' 3rd Berkshire district
Massachusetts House of Representatives' 3rd Berkshire district in the United States is one of 160 legislative districts included in the lower house of the Massachusetts General Court. It covers the towns of Alford, Becket, Dalton, Egremont, Great Barrington, Lee, Lenox, Monterey, Mount Washington, New Marlborough, Otis, Richmond, Sandisfield, Sheffield, Stockbridge, Tyringham, Washington, and West Stockbridge. Democrat Leigh Davis has represented the district since 2025.

The current district geographic boundary overlaps with that of the Massachusetts Senate's Berkshire, Hampshire, Franklin and Hampden district.
Radioresistance
Radioresistance is the level of ionizing radiation that organisms are able to withstand.

Ionizing-radiation-resistant organisms (IRRO) were defined as organisms for which the dose of acute ionizing radiation (IR) required to achieve 90% reduction (D10) is greater than 1,000 gray (Gy)

Radioresistance is surprisingly high in many organisms, in contrast to previously held views. For example, the study of environment, animals and plants around the Chernobyl disaster area has revealed an unexpected survival of many species, despite the high radiation levels. A Brazilian study in a hill in the state of Minas Gerais which has high natural radiation levels from uranium deposits, has also shown many radioresistant insects, worms and plants. Certain extremophiles, such as the bacteria Deinococcus radiodurans and the tardigrades, can withstand large doses of ionizing radiation on the order of 5,000 Gy.

Extremophile
An extremophile (from Latin  extremus 'extreme' and Ancient Greek  φιλία (philía) 'love') is an organism that is able to live (or in some cases thrive) in extreme environments, i.e., environments with conditions approaching or stretching the limits of what known life can adapt to, such as extreme temperature, pressure, radiation, salinity, or pH level.

Since the definition of an extreme environment is relative to an arbitrarily defined standard, often an anthropocentric one, these organisms can be considered ecologically dominant in the evolutionary history of the planet. Extremophiles have continued to thrive in the most extreme conditions, making them one of the most abundant lifeforms. The study of extremophiles has expanded human knowledge of the limits of life, and informs speculation about extraterrestrial life. Extremophiles are also of interest because of their potential for bioremediation of environments made hazardous to humans due to pollution or contamination.
Jean de Beaumetz
Jean de Beaumetz is recorded to have been "painter and valet" to Philip the Bold, for whom he painted numerous works, and decorated, among other chapels, that of the Castle of Argilli, in Burgundy. Some of his mural paintings are still preserved at château de Germolles. Jean de Beaumetz was employed by his patron from about 1375 to 1395.

Château de Germolles
Château de Germolles is situated in Burgundy, now part of Bourgogne-Franche-Comté, 11 km west of Chalon-sur-Saône, 30 km south of Beaune, and 135 km north of Lyon. It is the best preserved residence of the Dukes of Burgundy. Built during the second part of the 14th century, this château is important for the history of the region. Furthermore, it is a rare example of such a well-preserved residence in France in the 14th and the beginning of the 15th centuries, when most of the princely palaces of that period have almost entirely disappeared.  This exceptional site evokes court life in France on the eve of the Renaissance.

It has been listed as a Historic monument since 1989.  The chateau is privately owned, but can be visited, by guided tour, most of the year round.
Terengganu Football League
Terengganu Football League is a football league held in Terengganu, Malaysia. It is the 4th-5th tier in Malaysia football league system.

It was established in 2015 by Terengganu Football Association to provide an alternative entry point for young players.

Football Association of Terengganu
Terengganu Football Association (TFA); Malay: Persatuan Bola Sepak Negeri Terengganu (PBSNT) is the governing body of football for the state of Terengganu , Malaysia. PBSNT is responsible for coordinating and developing regional football, and has teamed up with the Football Association of Malaysia (FAM) as the official governing body of football in Malaysia.
Kotda Bujurg
Kotda Bujurg is a village situated in the Garoth Tehsil of Mandsaur District in Madhya Pradesh, India. It is situated between multiple mountain ranges and is roughly 91 kilometers east of Mandsaur city. Located in the Ujjain Division, the village is known for its agricultural pursuits and cultural legacy.

Mandsaur district
Mandsaur district (Hindi pronunciation: [mən̪d̪.sɔːɾ]) is a district of Madhya Pradesh state in central India. The town of Mandsaur is the administrative headquarters of the district. The ancient Pashupatinath temple is situated in Mandsaur. Large quantities of opium are produced in Mandsaur district.Mandsaur district is located western part of Madhya Pradesh.
Skye Edwards
Skye Edwards (born Shirley Klaris Yonavieve Edwards; 27 May 1972), sometimes simply Skye, is a British singer. Her career began in the mid-1990s when she and the Godfrey brothers (Paul Godfrey, a DJ, and Ross Godfrey, a multi-instrumentalist) formed the band Morcheeba, which released five albums with Edwards as lead vocalist. In 2003, the band split, after which she released two solo albums: Mind How You Go in 2006, and Keeping Secrets in 2009. In 2010, Edwards returned to Morcheeba, again as lead vocalist. In 2012, she released her third solo album, Back to Now, and in 2015 she released her fourth album, In a Low Light.

Edwards decided to shorten her name to Skye by taking the first letter of each of her names and putting them together. She is married to bass player Steve Gordon and they have four children. Edwards has sung on two charity collaborations: "Perfect Day" (1997, in aid of Children in Need) and Band Aid 20 (2004, in aid of famine relief in Sudan, Africa).

Band Aid 20
Band Aid 20 was the 2004 incarnation of the charity supergroup Band Aid. The group, which included Daniel Bedingfield, Dido, Justin Hawkins of The Darkness, Thom Yorke and Jonny Greenwood of Radiohead, Chris Martin of Coldplay, Bono of U2, and Paul McCartney, re-recorded the 1984 song "Do They Know It's Christmas?", written by Band Aid organisers Bob Geldof and Midge Ure.
Palazzago
Palazzago (Bergamasque: Palasàch) is a comune (municipality) in the Province of Bergamo in the Italian region of Lombardy, located about 45 kilometres (28 mi) northeast of Milan and about 12 kilometres (7 mi) northwest of Bergamo. As of 31 December 2004, it had a population of 3,658 and an area of 14.0 square kilometres (5.4 sq mi).

Palazzago borders the following municipalities: Almenno San Bartolomeo, Ambivere, Barzana, Caprino Bergamasco, Mapello, Pontida, Roncola.

Province of Bergamo
The province of Bergamo (Italian: provincia di Bergamo; Bergamasque: proìnsa de Bèrghem) is a province in the Lombardy region of Italy. Its capital is the city of Bergamo. The province has a population of 1,103,768 (2023), an area of 2,754.91 square kilometers (1,063.68 sq mi), and contains 242 comuni (municipalities).
Graylands Copse
Graylands Copse is a largely inaccessible woodland in Graylands, near Horsham, England.

The woodland has a convex outline, being primarily inaccessible at all edges except for an unmaintained opening on the south-western edge, in which a footbridge had existed. The interior is very irregular, defined by dense thickets and dead wood. An unnamed stream cuts through the center of the copse.

A small pit exists in the opposing south-eastern corner, possibly a man-made quarry feature typical of woodland in the area. One former footpath and one track run through Graylands Copse in a north–south direction, neither are maintained or easily accessible.

Historical Ordnance Survey maps indicate that the eastern central portion (approximately 1⁄6) of Graylands Copse underwent a forest plantation in the mid to late 20th century to define agricultural boundaries.

Notably, a medieval moated site exists 200 metres (656 ft) from Graylands Copse.

Graylands
Graylands is a hamlet in the Horsham district of West Sussex, England. The largely rural hamlet is located north of Holbrook beyond the A264. It is bordered by Langhurstwood Road to the west, Old Holbrook to the east, and Green Lane on its northern perimeter.
Westminster Royals
The Westminster Royals (also Westminster United or New Westminster Royals FC) were a Canadian soccer club based in New Westminster, British Columbia. It has the distinction of winning Canada Soccer's The Challenge Trophy nine times, setting the existing record for most domestic cup championships by a team in Canada. Originally known as Westminster United in 1912, they were Canada's dominant team for close to a decade from when they were known as the Westminster Royals in the 1920s and 1930s. They were later known as New Westminster Royals FC when they rejoined the Pacific Coast League in 1948–49.

From their first of two dynasties, they became the first Canadian team to win the Challenge Trophy four times (1928, 1930, 1931, 1936).

Wrote Winnipeg sports journalist Vince Leah in 1943, "you can name the famous Canadian soccer teams on one hand... Westminster Royals, Toronto Ulster, Montréal Carsteel and United Weston.

United Weston FC
United Weston FC is a Canadian soccer club based in Winnipeg, Manitoba. The club was established in 1909 in the Weston neighbourhood of Winnipeg. They were two-time Dominion of Canada Football Championship winners, lifting the Connaught Cup in 1924 and the Challenge Trophy in 1926. They were Dominion runners up in 1929 and 1936. They were recognized by the Canada Soccer Hall of Fame as an Organisation of Distinction.

Over the course of their soccer history, they played in several leagues and competitions in Manitoba. They won their first Manitoba Cup provincial championship in 1909.

Wrote sports journalist Vince Leah in 1943, "you can name the famous Canadian soccer teams on one hand... Westminster Royals, Toronto Ulster, Montréal Carsteel and United Weston. When you think of soccer, you naturally think of Weston.

Their victory song was "Weston on the ball."
Wood County, Wisconsin
Wood County is a county located in the U.S. state of Wisconsin. As of the 2020 census, the population was 74,207. Its county seat is Wisconsin Rapids. The county is named after Joseph Wood, a member of the Wisconsin State Assembly. Wood County comprises the Wisconsin Rapids-Marshfield, WI Micropolitan Statistical Area and is included in the Wausau-Stevens Point-Wisconsin Rapids, WI Combined Statistical Area.

Portage County, Wisconsin
Portage County is a county  in the U.S. state of Wisconsin. As of the 2020 census, the population was 70,377. Its county seat is Stevens Point.

Portage County comprises the Stevens Point, WI Micropolitan Statistical Area and is included in the Wausau-Stevens Point-Wisconsin Rapids, WI Combined Statistical Area.
WBEL (AM)
WBEL (1380 kHz) is a 1990s hits AM radio station in South Beloit, Illinois, with studios in Janesville, Wisconsin. Established in 1948, the station is owned by Big Radio. Its programming is simulcast on translator stations W222AU (92.3 FM) in Beloit, Wisconsin, and W255CZ (98.9 FM) in Janesville.

Janesville, Wisconsin
Janesville is a city in and the county seat of Rock County, Wisconsin, United States. The population was 65,615 at the 2020 census, and was estimated at 66,428 in 2024, making it the tenth-most populous city in Wisconsin. The Janesville–Beloit Metropolitan statistical area, consisting solely of Rock County, has an estimated 165,461 residents in the 2024 estimate. It is located along the Rock River in southern Wisconsin.
Fourth, fifth, and sixth derivatives of position
In the physics field of kinematics, the fourth, fifth and sixth derivatives of position are  generalizations of velocity and acceleration. They are defined as derivatives of the position vector with respect to time – with the first, second, and third derivatives being velocity, acceleration, and jerk, respectively. These higher-order derivatives are less common than the first three; thus their names are not as standardized, though the concept of a minimum snap trajectory has been used in robotics.

The fourth derivative is referred to as snap, leading the fifth and sixth derivatives to be "sometimes somewhat facetiously" called crackle and pop, named after the Rice Krispies mascots of the same name. The fourth derivative is also called jounce.

Rice Krispies
Rice Krispies (known as Rice Bubbles in Australia and New Zealand) is a breakfast cereal produced by WK Kellogg Co for the United States, Canada and the Caribbean and by Kellanova for the rest of the world. Rice Krispies are made of crisped rice. When milk is added to the cereal the rice tends to collapse, creating the characteristic "snap, crackle and pop" sounds.

Rice Krispies cereal has a long advertising history with the elf cartoon characters Snap, Crackle and Pop touting the brand.
Army Academy R.O.C.
The Army Academy R.O.C. (AAROC; Chinese: 陸軍專科學校; Pe̍h-ōe-jī: Lio̍k-kun Choan-kho Ha̍k-hāu) is a military academy located in Zhongli District, Taoyuan City, Taiwan.

The academy offers a four-year program that covers a broad range of subjects, including military science, tactics, leadership, and physical fitness. In addition, students are required to take courses in mathematics, physics, chemistry, and other academic disciplines.

Zhongli District
Zhongli District (Chinese: 中壢區; pinyin: Zhōnglì Qū) is a district in Taoyuan City, Taiwan. Zhongli is spelled variously as Jungli, Jongli, Jhongli or Chungli on railway stations, bus stops and road signs. Historically, the city is the site of the Zhongli Incident of 1977, the most significant event of the democratization movement prior to the 1980s. Ethnically, it is considered a capital city for Hakka Taiwanese, who live in great numbers here and in surrounding areas; many elderly persons can speak Hakka in addition to Mandarin and Taiwanese Hokkien. In recent years many foreign workers (mainly from the Philippines and Thailand) have also settled in and around the city due to the heavy industry in the suburbs of the city, making it a center for foreign laborers. The district of Zhongli has three large parks and over 70 green reserves.

Zhongli District is the busiest district in Southern Taoyuan (南桃園), as well as the location of the Taoyuan HSR station.
Long Beach, North Carolina
Long Beach, North Carolina is a coastal neighborhood on Oak Island incorporated in 1955. It is well known for the total devastation it sustained during Hurricane Hazel in 1954; only five of the 357 buildings survived the storm.  It merged with neighboring Yaupon Beach in 1999 to form the town of Oak Island and is now a neighborhood of the town.

The community derives its name from one of the longest stretches of beach in the area.

Oak Island (North Carolina)
Oak Island is located on the Atlantic Ocean coast in Brunswick County, North Carolina near the South Carolina border.  A barrier island, it contains the towns of Oak Island and Caswell Beach, Fort Caswell (since 1949 home to the North Carolina Baptist Assembly) and the Oak Island Coast Guard Station which is co-located with the Oak Island Lighthouse.  Almost 13 miles long, the island averages about one mile wide. As of 2020 the island had 8,791 permanent residents, while the summertime population can swell to nearly 50,000.