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Frank Nelson Cole
Frank Nelson Cole (September 20, 1861 – May 26, 1926) was an American mathematician. He is most famous for discovering the factors of the Mersenne number 267 − 1. Life and works Cole was born in Ashland, Massachusetts. When he was very young, the family moved to Marlborough, Massachusetts where he attended school and graduated from Marlborough High School. He was then educated at Harvard, where he lectured on mathematics from 1885 to 1887. Later, he was employed at the University of Michigan (from 1888 to 1895) and Columbia University (from 1895 until his death in 1926). Professor Cole became the Secretary of the American Mathematical Society in 1895 and an editor of the Bulletin of the AMS in 1897. Cole published a number of important papers, including ''The Diurnal Variation of Barometric Pressure'' (1892). In 1893 in Chicago, his paper ''On a Certain Simple Group'' (the group is PSL(2,8)) was read (but not by him) at the International Mathematical Congress held in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ashland, Massachusetts
Ashland is a town in Middlesex County, Massachusetts, United States. It is part of the MetroWest region. The population was 18,832 at the 2020 United States census. History The area now known as Ashland was settled in the early 18th century and inhabited prior to that by the Megunko Native Americans, to which Megunko Hill owes its name. Previously known as "Unionville", Ashland was incorporated in 1846, bearing the name of statesman Henry Clay's Kentucky estate. It is considerably younger than many of the surrounding towns, as Ashland's territory was taken in near-equal parts from the previously established towns of Hopkinton, Holliston (previously of colonial era Sherborn's territory), and Framingham. The construction of the Boston & Worcester Railroad, later the Boston & Albany, in the 1830s was key to the early development of the town. Decades later, two other rail lines opened stations in Ashland. Along with the Sudbury River, the railroad helped to attract numerous mil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marlborough High School (Massachusetts)
Marlborough is a city in Middlesex County, Massachusetts, United States. The population was 41,793 at the 2020 census. Marlborough became a prosperous industrial town in the 19th century and made the transition to high technology industry in the late 20th century after the construction of the Massachusetts Turnpike. It is part of the Worcester metropolitan area. Marlborough was declared a town in 1660, and was incorporated as a city in 1890 when it changed its municipal charter from a New England town meeting system to a mayor–council government. History John Howe in 1656 was a fur trader and built a house at the intersection of two Indian trails, Nashua Trail and Connecticut path. He could speak the language of the Algonquian Indians though the local tribe referred to themselves as the Pennacooks. The settlers were welcomed by the Indians because they protected them from other tribes they were at war with. In the 1650s, several families left the nearby town of Sudbury, 18 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harvard College Alumni
The list of Harvard University alumni includes notable graduates, professors, and administrators affiliated with Harvard University. For a list of notable non-graduates of Harvard, see the list of Harvard University non-graduate alumni. For a list of Harvard's presidents, see President of Harvard University. Eight Presidents of the United States have graduated from Harvard University: John Adams, John Quincy Adams, Rutherford B. Hayes, John F. Kennedy, Franklin Delano Roosevelt, Theodore Roosevelt, George W. Bush, and Barack Obama. Bush graduated from Harvard Business School, Hayes and Obama from Harvard Law School, and the others from Harvard College. Over 150 Nobel Prize winners have been associated with the university as alumni, researchers or faculty. Nobel laureates Pulitzer Prize winners ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Columbia University Faculty
Columbia most often refers to: * Columbia (personification), the historical personification of the United States * Columbia University, a private university in New York City * Columbia Pictures, an American film studio owned by Sony Pictures * Columbia Sportswear, an American clothing company * Columbia, South Carolina * Columbia, Missouri Columbia may also refer to: Places North America Natural features * Columbia Plateau, a geologic and geographic region in the U.S. Pacific Northwest * Columbia River, in Canada and the United States ** Columbia Bar, a sandbar in the estuary of the Columbia River ** Columbia Country, the region of British Columbia encompassing the northern portion of that river's upper reaches *** Columbia Valley, a region within the Columbia Country ** Columbia Lake, a lake at the head of the Columbia River *** Columbia Wetlands, a protected area near Columbia Lake ** Columbia Slough, along the Columbia watercourse near Portland, Oregon * Glacial Lake ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century American Mathematicians
The 19th century began on 1 January 1801 (represented by the Roman numerals MDCCCI), and ended on 31 December 1900 (MCM). It was the 9th century of the 2nd millennium. It was characterized by vast social upheaval. Slavery was Abolitionism, abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanded beyond its British homeland for the first time during the 19th century, particularly remaking the economies and societies of the Low Countries, France, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Catholic Church, in response to the growing influence and power of modernism, secularism and materialism, formed the First Vatican Council in the late 19th century to deal with such problems an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1926 Deaths
In Turkey, the year technically contained only 352 days. As Friday, December 18, 1926 ''(Julian Calendar)'' was followed by Saturday, January 1, 1927 '' (Gregorian Calendar)''. 13 days were dropped to make the switch. Turkey thus became the last country to officially adopt the Gregorian Calendar, which ended the 344-year calendrical switch around the world that took place in October, 1582 by virtue of the Papal Bull made by Pope Gregory XIII. Events January * January 3 – Theodoros Pangalos declares himself dictator in Greece. * January 8 **Ibn Saud is crowned ruler of the Kingdom of Hejaz. ** Crown Prince Nguyễn Phúc Vĩnh Thuy ascends the throne as Bảo Đại, the last monarch of the Nguyễn dynasty of the Kingdom of Vietnam. * January 16 – A British Broadcasting Company radio play by Ronald Knox about workers' revolution in London causes a panic among those who have not heard the preliminary announcement that it is a satire on broadcasting. * January 21 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1861 Births
This year saw significant progress in the Unification of Italy, the outbreak of the American Civil War, and the Emancipation reform of 1861, emancipation reform abolishing serfdom in the Russian Empire. Events January * January 1 ** Benito Juárez captures Mexico City. ** The first steam-powered carousel is recorded, in Bolton, England. * January 2 – Frederick William IV of Prussia, Friedrich Wilhelm IV of Prussia dies, and is succeeded by Wilhelm I of Germany, Wilhelm I. American Civil War: ** January 3 – Delaware votes not to secede from the United States, Union. ** January 9 – Mississippi in the American Civil War, Mississippi becomes the second state to secede from the Union. ** January 10 – Florida in the American Civil War, Florida secedes from the Union. ** January 11 – Alabama in the American Civil War, Alabama secedes from the Union. ** January 12 – Major Robert Anderson (Union officer), Robert Anderson sends dispatches to Was ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cole Prize
The Frank Nelson Cole Prize, or Cole Prize for short, is one of twenty-two prizes awarded to mathematicians by the American Mathematical Society, one for an outstanding contribution to algebra, and the other for an outstanding contribution to number theory.. The prize is named after Frank Nelson Cole, who served the Society for 25 years. The Cole Prize in algebra was funded by Cole himself, from funds given to him as a retirement gift; the prize fund was later augmented by his son, leading to the double award.. The prizes recognize a notable research work in algebra (given every three years) or number theory (given every three years) that has appeared in the last six years. The work must be published in a recognized, peer-reviewed venue. The first award for algebra was made in 1928 to L. E. Dickson, while the first award for number theory was made in 1931 to H. S. Vandiver. Frank Nelson Cole Prize in Algebra Frank Nelson Cole Prize in Number Theory For full citations, see exter ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Édouard Lucas
__NOTOC__ François Édouard Anatole Lucas (; 4 April 1842 – 3 October 1891) was a French mathematician. Lucas is known for his study of the Fibonacci sequence. The related Lucas sequences and Lucas numbers are named after him. Biography Lucas was born in Amiens and educated at the École Normale Supérieure. He worked in the Paris Observatory and later became a professor of mathematics at the Lycée Saint Louis and the Lycée Charlemagne in Paris. Lucas served as an artillery officer in the French Army during the Franco-Prussian War of 1870–1871. In 1875, Lucas posed a challenge to prove that the only solution of the Diophantine equation :\sum_^ n^2 = M^2\; with ''N'' > 1 is when ''N'' = 24 and ''M'' = 70. This is known as the cannonball problem, since it can be visualized as the problem of taking a square arrangement of cannonballs on the ground and building a square pyramid out of them. It was not until 1918 that a proof (using elliptic functions) was found for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
World's Columbian Exposition
The World's Columbian Exposition, also known as the Chicago World's Fair, was a world's fair held in Chicago from May 5 to October 31, 1893, to celebrate the 400th anniversary of Christopher Columbus's arrival in the New World in 1492. The centerpiece of the Fair, held in Jackson Park, was a large water pool representing the voyage that Columbus took to the New World. Chicago won the right to host the fair over several competing cities, including New York City, Washington, D.C., and St. Louis. The exposition was an influential social and cultural event and had a profound effect on American architecture, the arts, American industrial optimism, and Chicago's image. The layout of the Chicago Columbian Exposition was predominantly designed by John Wellborn Root, Daniel Burnham, Frederick Law Olmsted, and Charles B. Atwood. It was the prototype of what Burnham and his colleagues thought a city should be. It was designed to follow Beaux-Arts principles of design, namely ne ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Projective Linear Group
In mathematics, especially in the group theoretic area of algebra, the projective linear group (also known as the projective general linear group or PGL) is the induced action of the general linear group of a vector space ''V'' on the associated projective space P(''V''). Explicitly, the projective linear group is the quotient group : PGL(''V'') = GL(''V'')/Z(''V'') where GL(''V'') is the general linear group of ''V'' and Z(''V'') is the subgroup of all nonzero scalar transformations of ''V''; these are quotiented out because they act trivially on the projective space and they form the kernel of the action, and the notation "Z" reflects that the scalar transformations form the center of the general linear group. The projective special linear group, PSL, is defined analogously, as the induced action of the special linear group on the associated projective space. Explicitly: : PSL(''V'') = SL(''V'')/SZ(''V'') where SL(''V'') is the special linear group over ''V'' and SZ('' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
