OpenLLM-France/wikimedia huggingface dataset:
# Flexible algebra

In mathematics, particularly abstract algebra, a binary operation • on a set is flexible if it satisfies the flexible identity:
    $a\bullet \left(b\bullet a\right)=\left(a\bullet b\right)\bullet a$
for any two elements a and b of the set. A magma (that is, a set equipped with a binary operation) is flexible if the binary operation with which it is equipped is flexible. Similarly, a nonassociative algebra is flexible if its multiplication operator is flexible.
Every commutative or associative operation is flexible, so flexibility becomes important for binary operations that are neither commutative nor associative, e.g. for the multiplication of sedenions, which are not even alternative.
In 1954, Richard D. Schafer examined the algebras generated by the Cayley–Dickson process over a field and showed that they satisfy the flexible identity.

## Examples

Besides associative algebras, the following classes of nonassociative algebras are flexible:
* Alternative algebras
* Lie algebras
* Jordan algebras (which are commutative)
* Okubo algebras
In the world of magmas, there is only a binary multiplication operation with no addition or scaling with from a base ring or field like in algebras. In this setting, alternative and commutative magmas are all flexible - the alternative and commutative laws all imply flexibility. This includes many important classes of magmas: all groups, semigroups and moufang loops are flexible.
The sedenions and trigintaduonions, and all algebras constructed from these by iterating the Cayley–Dickson construction, are also flexible.
# Jorge Vieira (Brazilian footballer)

Jorge Silva Vieira, usually known as Jorge Vieira (18 July 1934 – 24 July 2012), was a Brazilian football player and head coach.

## Career

Jorge Vieira was born in Rio de Janeiro. He won the Campeonato Carioca as America's manager, when he was 26 years old. America's line-up was Amaro, Antoninho, Nilo, Jorge, Calazans, Djalma Dias, Quarentinha, Ari, Pompéia, Ivan and Wilson Santos.
Jorge Vieira managed Belenenses, of Portugal, in 1965-66 (26 matches) and in 1966-67 (one match). In 1977, he managed Botafogo-SP, winning that year's Campeonato Paulista first stage, named Taça Cidade de São Paulo. Botafogo-SP's line-up was: Aguillera, Wilson Campos, Nei, Manoel and Mineiro; Mário, Lorico and Sócrates; Zé Mário, Arlindo and João Carlos Motoca.
Vieira managed Palmeiras in 1977 and in 1978, and in 1979, as Corinthians's manager, he, with the help of the midfielder Sócrates, who was a former Botafogo-SP player, won the Campeonato Paulista. Jorge Vieira managed Corinthians again when the club won the Campeonato Paulista 1983, replacing Mário Travaglini, who was hired by Corinthians rival São Paulo. Its rival was defeated in the competition's final. Corinthians' line-up was: Leão; Alfinete, Juninho, Mauro and Wladimir; Paulinho, Biro-Biro, Sócrates and Zenon; Casagrande and Eduardo Amorim.
He then managed several Mexican clubs, and the Iraq and El Salvador national teams. He won two league titles with Mexican side Club América.

## Honors

Vieira won the Campeonato Carioca as América's manager in 1960, and won the Campeonato Paulista twice managing Corinthians in 1979 and in 1983.
# Clinton Herald

The Clinton Herald is a six-day (Monday through Saturday) daily newspaper published in Clinton, Iowa, and covering Clinton and Jackson counties in Iowa, and Carroll and Whiteside counties in Illinois.

## Overview

It is owned by CNHI. The paper was founded in 1856 by the publisher Charles E. Leonard, the husband of suffragist Cynthia Leonard and father of Lillian Russell.
The newspaper's marketing slogans include "News About You!" and "Where It's At!"
# Adam Deja

Adam Deja (born 24 June 1993) is a Polish professional footballer who plays as a midfielder for I liga club Górnik Łęczna, which he captains.

## Career statistics

    As of 31 May 2024.
Appearances and goals by club, season and competition :
| Club | Season | League | League | League | Polish Cup | Polish Cup | Europe | Europe | Other | Other | Total | Total |
| Club | Season | Division | Apps | Goals | Apps | Goals | Apps | Goals | Apps | Goals | Apps | Goals |
| MKS Kluczbork | 2011–12 | II liga West | 26 | 0 | 1 | 1 | — | — | — | — | 27 | 1 |
| MKS Kluczbork | 2012–13 | II liga West | 16 | 1 | 1 | 0 | — | — | — | — | 17 | 1 |
| MKS Kluczbork | Total | Total | 42 | 1 | 2 | 1 | — | — | — | — | 44 | 2 |
| Podbeskidzie Bielsko-Biała | 2012–13 | Ekstraklasa | 10 | 0 | — | — | — | — | — | — | 10 | 0 |
| Podbeskidzie Bielsko-Biała | 2013–14 | Ekstraklasa | 17 | 0 | 1 | 0 | — | — | — | — | 18 | 0 |
| Podbeskidzie Bielsko-Biała | 2014–15 | Ekstraklasa | 21 | 0 | 4 | 0 | — | — | — | — | 25 | 0 |
| Podbeskidzie Bielsko-Biała | 2015–16 | Ekstraklasa | 25 | 1 | 1 | 0 | — | — | — | — | 26 | 1 |
| Podbeskidzie Bielsko-Biała | 2016–17 | I liga | 26 | 0 | 1 | 0 | — | — | — | — | 27 | 0 |
| Podbeskidzie Bielsko-Biała | Total | Total | 99 | 1 | 7 | 0 | — | — | — | — | 106 | 1 |
| Podbeskidzie II | 2013–14 | III liga, gr. F | 9 | 3 | — | — | — | — | — | — | 9 | 3 |
| Podbeskidzie II | 2014–15 | III liga, gr. F | 5 | 0 | — | — | — | — | — | — | 5 | 0 |
| Podbeskidzie II | 2015–16 | III liga, gr. F | 1 | 0 | — | — | — | — | — | — | 1 | 0 |
| Podbeskidzie II | Total | Total | 15 | 3 | — | — | — | — | — | — | 15 | 3 |
| Cracovia | 2017–18 | Ekstraklasa | 14 | 0 | 2 | 1 | — | — | — | — | 16 | 1 |
| Arka Gdynia | 2017–18 | Ekstraklasa | 27 | 2 | 2 | 0 | — | — | — | — | 29 | 2 |
| Arka Gdynia | 2019–20 | Ekstraklasa | 21 | 1 | 0 | 0 | — | — | — | — | 21 | 1 |
| Arka Gdynia | 2020–21 | I liga | 28 | 5 | 4 | 1 | — | — | 1 | 0 | 33 | 6 |
| Arka Gdynia | 2021–22 | I liga | 26 | 4 | 2 | 0 | — | — | 1 | 0 | 29 | 4 |
| Arka Gdynia | Total | Total | 102 | 12 | 8 | 1 | — | — | 2 | 0 | 112 | 13 |
| Korona Kielce | 2022–23 | Ekstraklasa | 19 | 0 | 1 | 0 | — | — | — | — | 20 | 0 |
| Korona Kielce II | 2022–23 | III liga, gr. IV | 1 | 1 | — | — | — | — | — | — | 1 | 1 |
| Górnik Łęczna | 2023–24 | I liga | 30 | 2 | 1 | 1 | — | — | 1 | 0 | 32 | 3 |
| Career total | Career total | Career total | 322 | 20 | 21 | 4 | 0 | 0 | 3 | 0 | 346 | 24 |
* 1 2 3 Appearance in I liga promotion play-offs
# Adabas, Hama

Adabas, Hama (Arabic: عدبس) is a Syrian village located in Hama Nahiyah in Hama District in Hama. According to the Syria Central Bureau of Statistics (CBS), Adabas, Hama had a population of 933 in the 2004 census. By 2018, it's population had increased to roughly 3,000 people.
# Montana Southern Railway

The Montana Southern Railway, now defunct, was an American 3 ft (914 mm) narrow gauge railroad constructed between Divide, Montana and the mining district of Coolidge, Montana. The short-lived line was noteworthy in that it was the last common carrier narrow gauge railroad to be constructed in the United States.

## History

The Montana Southern Railway was largely the brainchild of William R. Allen, a politician and entrepreneur who had served as the lieutenant governor of Montana between 1909 and 1913. Allen was the president of the Boston-Montana Mining Company, which was developing a large silver-mining operation in the remote Pioneer Mountains of far southwestern Montana. Because of the site's remoteness and poor access, a railroad was considered to be a necessary component of the mining district's development.
The railway was first incorporated in 1914 as the "Southern Montana Railway." Construction of the line began in earnest in 1917 after the company was reincorporated as the Montana Southern Railway. Completed on November 1, 1919, the railroad ran westward from a connection with the Oregon Short Line Railroad at Divide, following the Big Hole River upstream to the town of Wise River, Montana, also known as Allentown. From there, the railroad headed south into the Pioneer Mountains, terminating at the booming mining camp of Coolidge, where the Boston-Montana had constructed a 750-ton per day oil flotation mill and other developments. In all, the line was about 38 miles long.
The headquarters and repair shops of the Montana Southern were located in Wise River. The steam locomotives and rolling stock used on the line were acquired second-hand from the Florence and Cripple Creek Railroad in Colorado, which had recently been abandoned.
The vast majority of the Montana Southern's freight and passenger traffic came from the Coolidge mining region, and as the mines there declined in the 1920s, the railroad followed suit. The railroad entered receivership in 1923 and was reorganized twice, first as the "Montana Southern Railroad" and later as the "Montana Southwestern Railway." The line was heavily damaged by a flood in 1927, and apparently not reopened until 1930. The railroad sat mostly idle after about 1933, and the tracks were finally removed in 1940. Its formal abandonment was completed in 1941.
# John Brown Francis Herreshoff

John Brown Francis Herreshoff (February 7, 1850 – January 30, 1932) was second winner of the Perkin Medal. He was also the president of The General Chemical Company.

## Biography

Herreshoff was born February 7, 1850, Bristol, Rhode Island, to the marriage of Charles Frederick Herreshoff III (1809–1888) and Julia Ann Lewis (maiden; 1811–1901).
Herreshoff was a metallurgical chemist affiliated with the firm of Herreshoff Manufacturing Company, builders of yachts and torpedo boats. Herreshoff was hired by G. H. Nichols and Company in 1880 or 1882. He invented and built for them a water-jacketed furnace and quickly became a partner in the company.
Herreshoff was also the president of The General Chemical Company, which was founded in 1899 and merged in 1920 with Allied Corporation.

## Recipient of the Perkin Medal

Herreshoff, in 1908, received the Perkin Medal, an award conferred annually by the American section of the Society of Chemical Industry to a scientist residing in America for an "innovation in applied chemistry resulting in outstanding commercial development." It is considered the highest honor given in the U.S. chemical industry.

## Death

Herreshoff died January 30, 1932.

## Family

John Brown Francis Herreshoff was married four times.
* He first married – on February 9, 1876 – Grace Eugenia Dyer (maiden; 1851–1880), with whom he had a daughter, Louise Chamberlain Herreshoff (1876–1967), who went on to become a painter.
* After Grace's death, he married – on October 25, 1882, in Philadelphia – Emaline Duval ("Mildred") Lee (maiden; 1863–1930). From that marriage, he had two sons and a daughter. One of the sons, Frederick Herreshoff (1888–1920), became a noted American amateur golfer. By way his daughter from that marriage, Sarah Lothrop Herreshoff (1889–1958), a grandson, Guido Borgianni (it) (1914–2011), became a noted Italian painter.
* Herreshoff and Mildred divorced June 4, 1919, in Manhattan, and five days later, on June 9, 1919, Herreshoff married Carrie Lucas Ridley (maiden; 1878–1924), her second.
* On October 5, 1924 (six months after Carrie's death), Herreshoff married Carrie's sister, Irma Grey Ridley (1872–1946).
# Jodi Barnes

Jodi Grace Barnes (born March 9, 1971) is a Canadian former pairs skater competing for Canadian Nationals for almost a decade. 1980's Canadian medalists included Jodi Barns and Rob Williams who competed for Canada. With former partner Rob Williams, she made her international debut at the 1987 Junior World ranking 7th Archived December 20, 2016, at the Wayback Machine in the World. Studied Business at Douglas College in Vancouver. In 1997 Barnes and Williams were selected to represent Canada in the 1997 in Jaca Spain for the World Professional Figure Skating Championships. After Barnes and Williams competitive career they went on tour as principal pairs. Barnes and Williams starred in Holiday on Ice, Feld Entertainment (1996 Disney's World On Ice - Toy Story.) Willy Bietak Productions the leaders in the Ice Show Industry. After William retired Barnes continued pairs skating as a performance director for major ice productions as well as choreographing for international skaters Scarlett Rouzet & Yannick Bonheur and major ice productions. Barnes began her coaching career on the West Coast of the United States in 2008. Barnes is currently coaching at Panthers Figure Skating Club, Panthers Ice Den in Coral Springs, Florida.

## Personal life

Jodi Grace Banes was born on March 9, 1971, in Vancouver, Canada she is the daughter of Janet Banes and William Barnes. Barnes has two sisters Wendi Harvey and Cindi Nawyn. Barnes was raised in Pitt Meadows, British Columbia. She attended Sentinel Secondary School in West Vancouver. Barnes went on to study business at Douglas College. Barnes is married to Alexander "Sasha" Klimkin Soviet Union born, former Junior National Champion. They coach at the Panthers Figure Skating Club, Panthers Ice Den in Coral Springs, Florida. They have identical twin boys Pavel and Ilya Klimkin born December 13, 2008.

## Coaching career

Former students include: Samantha Marchant and Chad Hawse, Meirlya Findley, Madalyn Moree.
In 2017 Barnes received from U.S.Figure Skating her Sectionals Pairs Technical Specialist Appointment

## Results

(with Williams)

## Competitive highlights

International :
| Event | 84–85 | 85–86 | 86–87 | 87–88 | 88–89 | 92–93 |
| Junior Worlds Championships | | | 7th | | | |
| Blue Swords | | | | 3rd | | |
| National ||||||||||
| Fours | | | | | | 1st |
| Seniors | | | | | | |
| Junior | | | | 3rd | 4th | |
| Novice | | 9th | 4th | | | |
| Divisional ||||||||||
| Seniors | | | | | | |
| Junior | | | | | | |
| Novice | 1st | 1st | Bye | 2nd | | |
| Sectionals ||||||||||
| Seniors | | | | | | |
| Junior | | | | | | |
| Novice | | | | | | |
# Colorado Tribune

The Colorado Tribune, also known as Daily and Weekly Colorado Tribune, was a newspaper published in Denver, Colorado from 15 May 1867 to 19 January 1871. It was the successor to the Denver Daily, published from 5 February to 14 May 1867, and it was succeeded by the Denver Daily Tribune, which continued through a series of name changes, eventually becoming the Denver Republican, which merged in 1913 with the Rocky Mountain News. An 1868 advertisement claimed the Daily Colorado Tribune was "the largest daily newspaper published between the Missouri River and California."
# Liesel

The name Liesel is short for Elizabeth. The name was most popular during the 17th century.
Liesel can also refer to:
* Liesel Meminger, a character in The Book Thief
* Liesel Matthews (born Liesel Pritzker), an American heiress and actress.
* Liesel Westermann, a German athlete who competed mainly in the discus throw.
* Liesel Litzenburger, a writer from Michigan.
* Liesel Holler, the 2004 Miss Peru (for Miss Earth 2004).
* Liesel Moak Skorpen, a children's author.
* Liesel Mueller, a character from book series Scolomance by Naomi Novik
# Palaeophanes

Palaeophanes is a genus of moths in the family Arrhenophanidae.

## Species

* Palaeophanes lativalva Davis, 2003
* Palaeophanes taiwanensis Davis, 2003
* Palaeophanes brevispina Davis, 2003
* Palaeophanes xoutha Davis, 2003
# Colasanti

Colasanti is a surname. Notable people with the surname include:
* Arduino Colasanti (1877–1935), Italian Renaissance scholar
* Marina Colasanti (1937–2025), Italian-Brazilian writer, translator, and journalist
* Maurizio Colasanti, Italian conductor
* Susane Colasanti (born 1973), American novelist
* Veniero Colasanti (1910–1996), Italian costume designer, set decorator, and art director
# Żarki Średnie

Żarki Średnie (Upper Sorbian: Žarki Šědne) is a village in the administrative district of Gmina Pieńsk, within Zgorzelec County, Lower Silesian Voivodeship, in south-western Poland, close to the German border.
# The Myth of the First Three Years

The Myth of the First Three Years: A New Understanding of Early Brain Development and Lifelong Learning (ISBN 978-0-7432-4260-8, 1999) is a book written by John Bruer. The book explains the exaggerations of basic critical period research in neuroscience "resulting in a potentially disproportionate channeling of resources toward early childhood education."

## First three years

The book discusses the myths surrounding early childhood development, in particular, the myth that "the first three years of a baby's life determine whether or not the child will grow into a successful, thinking person." According to a review: "Parents have been sold a bill of goods that is highly destructive because it overemphasizes infant and toddler nurturing to the detriment of long-term parental and educational responsibilities."
# Rivolta d'Adda

Rivolta d'Adda (Lombard: Riólta) is a comune (municipality) in the Province of Cremona in the Italian region Lombardy, located about 25 kilometres (16 mi) east of Milan and about 70 kilometres (43 mi) northwest of Cremona.
Rivolta d'Adda borders the following municipalities: Agnadello, Arzago d'Adda, Casirate d'Adda, Cassano d'Adda, Comazzo, Merlino, Pandino, Spino d'Adda, Truccazzano. Sights include the church of San Sigismondo (11th century), the church of Santa Maria Immacolata (15th century), a Prehistoric Park with a museum and reconstruction of extinct prehistoric creatures.

## Interesting sites

Prehistoric Park, themed nature park located on the outskirts of the town itself, within the Adda Park.
# Stepnohirsk

Stepnohirsk (Ukrainian: Степногірськ; Russian: Степногорск) is a rural settlement in Vasylivka Raion, Zaporizhzhia Oblast, southern Ukraine. The settlement is located on the left bank of the Dnieper, dammed here and forming Kakhovka Reservoir. Stepnohirsk hosts the administration of Stepnohirsk settlement hromada, one of the hromadas of Ukraine. Population: 4,294 (2022 estimate).

## Transport

The closest railway station, Plavni-Vantazhni, is about two kilometres (1.2 mi) west of the settlement, on the railway connecting Zaporizhzhia and Melitopol. There is some passenger traffic.
The settlement is on highway M18 which connects Zaporizhzhia and Melitopol.

## History

Until 26 January 2024, Stepnohirsk was designated urban-type settlement. On this day, a new law entered into force which abolished this status, and Stepnohirsk became a rural settlement.
On 2 January 2025, a Russian airstrike struck the settlement, killing 1 person.

## Notable people

* Yehor Demchenko (born 1997), Ukrainian footballer
# Coos County Democrat

The Coös County Democrat (/'koʊɒs/ with two syllables) is a weekly newspaper located in Lancaster, New Hampshire. It has a circulation of 4,945.

## History

The Democrat was established in 1838 by James Madison Rix. His operation ran out of a small room above Kent's dry goods store on Main Street in Lancaster. Not by coincidence, the first newspaper to appear in Lancaster had been established earlier that year; Richard P. Kent's White Mountains Aegis represented the Whig Party of Coös County. The Democrat was established to serve the Coös County Democrats by opposition. James Rix employed teenage boys as apprentices, as there were not many other jobs besides farming and professional trades in northern New Hampshire. Rix taught them the printer's trade as well as the ideology of the New Hampshire Democratic Party, predominantly the party's contempt for African Americans and abolitionists.
Among the apprentices was Edward E. Cross, who Rix appointed as the foreman of the paper in 1847. The same year a young Charles Farrar Browne came to work for the Democrat, his mother sending him from Maine in a stagecoach. Browne proved to be too rambunctious for the editor, and ultimately Rix fired him. After his termination he became a humor columnist for The Plain Dealer under his pen name, Artemus Ward, which is the name he continued to use throughout his comedy career.
James Rix remained editor until his death in 1856, upon which editorship shifted to Jared I. Williams, then to Charles D. Johnson. In 1859, Johnson moved the paper to North Stratford, and when he died a year later, the Democrat ceased publication. A portion of the plant materials were sold to Henry O. Kent, who used them to publish the Coös Republican out of the same office the Democrat first published from in 1838.
In 1884, F. A. Kehew published the next edition of the Coös County Democrat, using the title and serial number of the last paper published over 20 years previously.
In September 2024, Salmon Press merged the Berlin Reporter into the Coös County Democrat.

## Owner

The Democrat has been owned by Salmon Press LLC since David Cutler and John Coots bought the weekly in 2001. Salmon Press owns newspapers across New Hampshire, including:
* The Baysider
* Berlin Reporter
* Carroll County Independent
* Gilford Steamer
* Granite State News
* Littleton Courier
* Meredith News
* Newfound Landing
* Plymouth Record Enterprise
* Winnisquam Echo
# Jack Street (footballer, born 1934)

John Street (27 July 1934 – 2007) was an English professional footballer who played as a winger.

## Career

Street signed for Bradford City in November 1951 from 'minor football'. He made 1 league appearance for the club, before moving to Lincoln City in September 1952.

## Personal life and death

Street was born in Sheffield on 27 July 1934. He died there in early 2007, at the age of 72.

## Sources

* Frost, Terry (1988). Bradford City A Complete Record 1903-1988. Breedon Books Sport. ISBN 0-907969-38-0.
# Stella F. Thayer

Stella F. Thayer (born December 27, 1940, in Tampa, Florida) is a vice-chair and former president of the National Museum of Racing and Hall of Fame.

## Biography

Thayer, president of Tampa Bay Downs, succeeded John T. von Stade, becoming the museum's ninth president in 2005. She had been a museum trustee since 1994, previously serving as an executive vice-president before being elected president.
The daughter of Chester Howell Ferguson, for whom the University of South Florida’s College of Business Administration building is named, Thayer has been active in thoroughbred racing and has been in ownership with her brother, Howell Ferguson, of Tampa Bay Downs since 1986. She previously served as president of the Thoroughbred Racing Association for a two-year term, beginning in 1999. She is also a member of the Lykes Family of Florida that wholly owns Lykes Bros. Inc with 337000 acres of land holdings (526 sq miles) including cattle ranching, forestry, sod, sugarcane farms, insurance, and ecoassets.
Thayer graduated in 1962 from Hollins College in Virginia and earned her law degree in 1965 at Columbia Law School. A member of the Florida, New Jersey and New York bars, she is an attorney and shareholder in the Tampa-based law firm of Macfarlane, Ferguson and McMullen where she is engaged in the practice of Estate Planning, Probate and Corporate Law. Before it was acquired by British Aerospace, Thayer was the chairman of the board and a director of Reflectone, a manufacturer of full flight simulators.
Among her many civic and governmental activities in Tampa, Thayer is a member of the board of trustees of the Tampa General Hospital Foundation, and a member of the board of trustees of the University of South Florida Foundation. She is the former chairman of the Hillsborough County Aviation Authority, the governing board of Tampa International Airport and is the former chairman of the Hillsborough County Hospital Authority. She, along with Dick Corbett and Bob Blanchard, purchased the Tampa Bay Rowdies soccer club from George W. Strawbridge, Jr. in 1983. In 1986 Dick's wife, Cornelia Corbett, became sole owner of the team.
Thayer resides in Thonotosassa, Florida. She was married to banker Bronson Thayer until his death in 2016. They have one daughter, Susannah.
Through holding companies, she and brother Howell own an entire island in Pine Island Sound, Mondongo Island, off the coast of west Florida, just north of Useppa Island.
In 2023 Thayer was inducted into the National Museum of Racing and Hall of Fame as a Pillar of the Turf for her contributions to thoroughbred racing.