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Holbrook Mann MacNeille
Holbrook Mann MacNeille (May 11, 1907 – September 30, 1973) was an American mathematician who worked for the United States Atomic Energy Commission before becoming the first Executive Director of the American Mathematical Society. Personal life MacNeille was born May 11, 1907 in New York City and was raised in Summit, New Jersey, the first of two brothers. His father was Perry Robinson MacNeille, an architect and urban planner and his mother Clausine Mann MacNeille who was active on the Summit Board of Education. His aunt was the Jungian analyst Kristine Mann. MacNeille went to the Summit Public Schools and summered in Bailey Island, Maine. At Bailey Island he became acquainted with Frank Aydelotte who encouraged him to go to Swarthmore College from which he graduated with highest honors in 1928. Following in Aydelotte's footsteps he was a Rhodes Scholar at Balliol College, Oxford, England 1928–1930 receiving a B.A. in 1930 and an M.A. in 1947. He received a Ph.D. i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Americans
Americans are the Citizenship of the United States, citizens and United States nationality law, nationals of the United States, United States of America.; ; Although direct citizens and nationals make up the majority of Americans, many Multiple citizenship, dual citizens, expatriates, and green card, permanent residents could also legally claim American nationality. The United States is home to race and ethnicity in the United States, people of many racial and ethnic origins; consequently, culture of the United States, American culture and Law of the United States, law do not equate nationality with Race (human categorization), race or Ethnic group, ethnicity, but with citizenship and an Oath of Allegiance (United States), oath of permanent allegiance. Overview The majority of Americans or their ancestors Immigration to the United States, immigrated to the United States or are descended from people who were Trans Atlantic Slave Trade, brought as Slavery in the United States ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oxford
Oxford () is a city in England. It is the county town and only city of Oxfordshire. In 2020, its population was estimated at 151,584. It is north-west of London, south-east of Birmingham and north-east of Bristol. The city is home to the University of Oxford, the oldest university in the English-speaking world; it has buildings in every style of English architecture since late Anglo-Saxon. Oxford's industries include motor manufacturing, education, publishing, information technology and science. History The history of Oxford in England dates back to its original settlement in the Saxon period. Originally of strategic significance due to its controlling location on the upper reaches of the River Thames at its junction with the River Cherwell, the town grew in national importance during the early Norman period, and in the late 12th century became home to the fledgling University of Oxford. The city was besieged during The Anarchy in 1142. The university rose to dom ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kenyon College
Kenyon College is a private liberal arts college in Gambier, Ohio. It was founded in 1824 by Philander Chase. Kenyon College is accredited by the Higher Learning Commission. Kenyon has 1,708 undergraduates enrolled. Its 1,000-acre campus is set in a rural setting and uses a semester-based academic calendar. The campus is home to the Brown Family Environmental Center (BFEC), which has over 380 acres and hosts seven different ecosystems. The BFEC also provides academic opportunities including the Summer Science Scholars program. There are more than 120 student clubs and organizations on campus, including 8 fraternities and sororities. Kenyon athletes are called ''Owls'' (previously the ''Lords'' and ''Ladies'') and compete in the NCAA Division III North Coast Athletic Conference. Notable alumni include six Rhodes Scholars, 10 Marshall Scholarship winners, 12 Truman Scholarship winners, and numerous Watson Fellowship holders and Fulbright scholarship recipients. Famous graduates ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dedekind Cut
In mathematics, Dedekind cuts, named after German mathematician Richard Dedekind but previously considered by Joseph Bertrand, are а method of construction of the real numbers from the rational numbers. A Dedekind cut is a partition of the rational numbers into two sets ''A'' and ''B'', such that all elements of ''A'' are less than all elements of ''B'', and ''A'' contains no greatest element. The set ''B'' may or may not have a smallest element among the rationals. If ''B'' has a smallest element among the rationals, the cut corresponds to that rational. Otherwise, that cut defines a unique irrational number which, loosely speaking, fills the "gap" between ''A'' and ''B''. In other words, ''A'' contains every rational number less than the cut, and ''B'' contains every rational number greater than or equal to the cut. An irrational cut is equated to an irrational number which is in neither set. Every real number, rational or not, is equated to one and only one cut of rati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Construction Of Real Numbers
In mathematics, there are several equivalent ways of defining the real numbers. One of them is that they form a complete ordered field that does not contain any smaller complete ordered field. Such a definition does not prove that such a complete ordered field exists, and the existence proof consists of constructing a mathematical structure that satisfies the definition. The article presents several such constructions. They are equivalent in the sense that, given the result of any two such constructions, there is a unique isomorphism of ordered field between them. This results from the above definition and is independent of particular constructions. These isomorphisms allow identifying the results of the constructions, and, in practice, to forget which construction has been chosen. Axiomatic definitions An axiomatic definition of the real numbers is to define them as the elements of a complete ordered field. Precisely, this means the following. A ''model for the real number sys ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
MacNeille Completion Theorem
MacNeille or McNeile may refer to: MacNeille *Tress MacNeille (born 1951), American voice actress *Holbrook Mann MacNeille (1907–1973), American mathematician McNeile *Ethel McNeile (1875–1922), British missionary and headmistress *H. C. McNeile (1888–1937), British writer, who published under the pen name "Sapper" *Hugh M'Neile (1795–1879), Anglican churchman in Ireland As middle name *William Macneile Dixon (1866–1946), British author and academic *John MacNeile Price (1843–1922), British civil engineer and the Surveyor General of Hong Kong See also *Clan MacNeil, a Scottish clan *McNeil (other) *McNeill (other) *MacNeil *MacNeill *McNeal *MacNeal {{surname Surnames Clan MacNeil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dissection
Dissection (from Latin ' "to cut to pieces"; also called anatomization) is the dismembering of the body of a deceased animal or plant to study its anatomical structure. Autopsy is used in pathology and forensic medicine to determine the cause of death in humans. Less extensive dissection of plants and smaller animals preserved in a formaldehyde solution is typically carried out or demonstrated in biology and natural science classes in middle school and high school, while extensive dissections of cadavers of adults and children, both fresh and preserved are carried out by medical students in medical schools as a part of the teaching in subjects such as anatomy, pathology and forensic medicine. Consequently, dissection is typically conducted in a morgue or in an anatomy lab. Dissection has been used for centuries to explore anatomy. Objections to the use of cadavers have led to the use of alternatives including virtual dissection of computer models. Overview Plant and animal b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Squaliformes
The Squaliformes are an order (biology), order of sharks that includes about 126 species in seven families. Members of the order have two dorsal fins, which usually possess spines, they usually have a sharp head, no anal fin or nictitating membrane, and five to seven gill slits. In most other respects, however, they are quite variable in form and size. Most species of the squaliform order live in saltwater or brackish water. They are found worldwide, from northern to tropical waters, and from shallow coastal seas to the open ocean. All members of the family Eptomeridae and Dalatiidae and ''Zameus squamulosus'' possess photophores, luminous organs, and exhibit intrinsic bioluminescence. Bioluminescence evolved once in Squaliformes, approximately 111–153 million years ago, and helped the Squaliformes radiate and adapt to the deep sea. The common ancestor of Dalatiidae, Etmopteridae, Somniosidae, and Oxynotidae possessed a luminous organ and used bioluminescence for camouf ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
David Richardson (optics)
David Richardson may refer to: Politics *David Richardson (Florida politician) (born 1957), accountant, former member of the Florida House of Representatives, and City Council member and Vice Mayor of Miami Beach * David L. Richardson, Virginia State Treasurer *David P. Richardson (Pennsylvania politician) (1948–1995), member of the Pennsylvania House of Representatives *David P. Richardson (New York politician) (1833–1904), U.S. Representative from New York *David C. Richardson (Virginia politician) (1845–1928), Confederate soldier and mayor of Richmond, Virginia Sports * David Richardson (American football) (born 1981), American football player * David Richardson (bobsleigh) (born 1948), Canadian bobsledder * David Richardson (figure skater) (born 1987), British figure skater * Dave Richardson (South African cricketer) (born 1959), South African cricketer * Dave Richardson (New Zealand cricketer) (born 1958), New Zealand cricketer * Dave Richardson (footballer) (born 1932), ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Benjamin Peirce
Benjamin Peirce (; April 4, 1809 – October 6, 1880) was an American mathematician who taught at Harvard University for approximately 50 years. He made contributions to celestial mechanics, statistics, number theory, algebra, and the philosophy of mathematics. Early life He was born in Salem, Massachusetts, the son of Benjamin Peirce (1778–1831), later librarian of Harvard, and Lydia Ropes Nichols Peirce (1781–1868). After graduating from Harvard University in 1829, he taught mathematics for two years at the Round Hill School in Northampton, and in 1831 was appointed professor of mathematics at Harvard. He added astronomy to his portfolio in 1842, and remained as Harvard professor until his death. In addition, he was instrumental in the development of Harvard's science curriculum, served as the college librarian, and was director of the U.S. Coast Survey from 1867 to 1874. In 1842, he was elected as a member of the American Philosophical Society. He was elected a Foreig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New Haven, Connecticut
New Haven is a city in the U.S. state of Connecticut. It is located on New Haven Harbor on the northern shore of Long Island Sound in New Haven County, Connecticut and is part of the New York City metropolitan area. With a population of 134,023 as determined by the 2020 U.S. census, New Haven is the third largest city in Connecticut after Bridgeport and Stamford and the principal municipality of Greater New Haven, which had a total 2020 population of 864,835. New Haven was one of the first planned cities in the U.S. A year after its founding by English Puritans in 1638, eight streets were laid out in a four-by-four grid, creating the "Nine Square Plan". The central common block is the New Haven Green, a square at the center of Downtown New Haven. The Green is now a National Historic Landmark, and the "Nine Square Plan" is recognized by the American Planning Association as a National Planning Landmark. New Haven is the home of Yale University, New Haven's biggest taxpayer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yale University
Yale University is a private research university in New Haven, Connecticut. Established in 1701 as the Collegiate School, it is the third-oldest institution of higher education in the United States and among the most prestigious in the world. It is a member of the Ivy League. Chartered by the Connecticut Colony, the Collegiate School was established in 1701 by clergy to educate Congregational ministers before moving to New Haven in 1716. Originally restricted to theology and sacred languages, the curriculum began to incorporate humanities and sciences by the time of the American Revolution. In the 19th century, the college expanded into graduate and professional instruction, awarding the first PhD in the United States in 1861 and organizing as a university in 1887. Yale's faculty and student populations grew after 1890 with rapid expansion of the physical campus and scientific research. Yale is organized into fourteen constituent schools: the original undergraduate col ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
