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Frank Nelson Cole
Frank Nelson Cole (September 20, 1861 – May 26, 1926) was an American mathematician. 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 and Columbia University. Professor Cole became secretary of the American Mathematical Society in 1895 and an editor of its ''Bulletin'' 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 connection with the World's Columbian Exposition. On October 31, 1903, Cole famously made a presentation to a meeting of the American Mathematical ... [...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 mills ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harvard College Alumni
The list of Harvard University people includes notable graduates, professors, and administrators affiliated with Harvard University. For a list of notable non-graduates of Harvard, see notable non-graduate alumni of Harvard. 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 may refer to: * Columbia (personification), the historical female national personification of the United States, and a poetic name for America 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 Columbia, a proglacial lake in Washington state * Columbia Icefield, in the Canadian Rockies * Columbia Island (District of Columbia), in the Potomac River * Columbia Island (New York), in Long Island Sound Populated plac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century American Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, 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 Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1926 Deaths
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * '' Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1861 Births
Statistically, this year is considered the end of the whale oil industry and (in replacement) the beginning of the petroleum oil industry. Events January–March * January 1 ** Benito Juárez captures Mexico City. ** The first steam-powered carousel is recorded, in Bolton, England. * January 2 – Friedrich Wilhelm IV of Prussia dies, and is succeeded by Wilhelm I. * January 3 – American Civil War: Delaware votes not to secede from the Union. * January 9 – American Civil War: Mississippi becomes the second state to secede from the Union. * January 10 – American Civil War: Florida secedes from the Union. * January 11 – American Civil War: Alabama secedes from the Union. * January 12 – American Civil War: Major Robert Anderson sends dispatches to Washington. * January 19 – American Civil War: Georgia secedes from the Union. * January 21 – American Civil War: Jefferson Davis resigns from the United States Senate. * Janua ... [...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 Frank Nelson Cole (September 20, 1861 – May 26, 1926) was an American mathematician. Life and works Cole was born in Ashland, Massachusetts. When he was very young, the family moved to Marlborough, Massachusetts where he attended school a ..., 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.. To be eligible for the Cole prize, the author must be a member of the American Mathematical Society or the paper should appear in a recognized North American journal. The first award for algebra was made in 1928 to L. E. Di ... [...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 this ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mersenne Prime
In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17th century. If is a composite number then so is . Therefore, an equivalent definition of the Mersenne primes is that they are the prime numbers of the form for some prime . The exponents which give Mersenne primes are 2, 3, 5, 7, 13, 17, 19, 31, ... and the resulting Mersenne primes are 3, 7, 31, 127, 8191, 131071, 524287, 2147483647, ... . Numbers of the form without the primality requirement may be called Mersenne numbers. Sometimes, however, Mersenne numbers are defined to have the additional requirement that be prime. The smallest composite Mersenne number with prime exponent ''n'' is . Mersenne primes were studied in antiquity because of their close connection to perfect numbers: the Euclid–Euler theorem as ... [...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 in 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 Columbus took to the New World. Chicago had won the right to host the fair over several other 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, in large part, 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 neoclassical architecture principles b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
