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Herman L. Smith
Herman Lyle Smith (July 7, 1892 – 1950) was an American mathematician, the co-discoverer, with E. H. Moore, of nets, and also a discoverer of the related notion of filters independently of Henri Cartan. Born in Pittwood, Illinois, Smith received his B.S. degree from the University of Oregon in 1914 and his M.S. from the University of Chicago the following year. His Ph.D. was granted in 1926 by the University of Chicago for work done under Moore. He was later employed as a professor of mathematics by Louisiana State University Louisiana State University and Agricultural and Mechanical College, commonly referred to as Louisiana State University (LSU), is an American Public university, public Land-grant university, land-grant research university in Baton Rouge, Louis .... Notes References * External links * 1892 births 20th-century American mathematicians Louisiana State University faculty American topologists 1950 deaths Mathematicians from Illinois Da ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pittwood, Illinois
Pittwood is an unincorporated community in Middleport Township, Iroquois County, Illinois Illinois ( ) is a U.S. state, state in the Midwestern United States, Midwestern United States. It borders on Lake Michigan to its northeast, the Mississippi River to its west, and the Wabash River, Wabash and Ohio River, Ohio rivers to its ..., United States. Geography Pittwood is located at an elevation of 643 feet. References Unincorporated communities in Iroquois County, Illinois Unincorporated communities in Illinois {{IroquoisCountyIL-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Oregon
The University of Oregon (UO, U of O or Oregon) is a Public university, public research university in Eugene, Oregon, United States. Founded in 1876, the university is organized into nine colleges and schools and offers 420 undergraduate and graduate degree programs. The university also operates the Ballmer Institute for Children's Behavioral Health in Portland, Oregon; the Oregon Institute of Marine Biology in Charleston, Oregon; and Pine Mountain Observatory in Central Oregon. UO's 295-acre campus is situated along the Willamette River. Most academic programs follow the 10-week quarter system. The university is Carnegie Classification of Institutions of Higher Education, classified among "R1: Doctoral Universities – Very high research activity" and is a member of the Association of American Universities. Since July 2014, UO has been governed by Board of Trustees of the University of Oregon, its own board of trustees. UO student-athletes compete as the Oregon Ducks and are pa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Chicago
The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chicago, South Side, near the shore of Lake Michigan about from Chicago Loop, the Loop. The university is composed of an College of the University of Chicago, undergraduate college and four graduate divisions: Biological Science, Arts & Humanities, Physical Science, and Social Science, which include various organized departments and institutes. In addition, the university operates eight professional schools in the fields of University of Chicago Booth School of Business, business, Crown Family School of Social Work, Policy, and Practice, social work, University of Chicago Divinity School, divinity, Graham School of Continuing Liberal and Professional Studies, continuing studies, Harris School of Public Policy, public policy, University of Chi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Net (mathematics)
In mathematics, more specifically in general topology and related branches, a net or Moore–Smith sequence is a function whose domain is a directed set. The codomain of this function is usually some topological space. Nets directly generalize the concept of a sequence in a metric space. Nets are primarily used in the fields of analysis and topology, where they are used to characterize many important topological properties that (in general), sequences are unable to characterize (this shortcoming of sequences motivated the study of sequential spaces and Fréchet–Urysohn spaces). Nets are in one-to-one correspondence with filters. History The concept of a net was first introduced by E. H. Moore and Herman L. Smith in 1922. The term "net" was coined by John L. Kelley. The related concept of a filter was developed in 1937 by Henri Cartan. Definitions A directed set is a non-empty set A together with a preorder, typically automatically assumed to be denoted by \,\ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Louisiana State University
Louisiana State University and Agricultural and Mechanical College, commonly referred to as Louisiana State University (LSU), is an American Public university, public Land-grant university, land-grant research university in Baton Rouge, Louisiana, United States. The university was founded in 1860 near Pineville, Louisiana, under the name Louisiana State Seminary of Learning & Military Academy. The current LSU main campus was dedicated in 1926 and consists of more than 250 buildings constructed in the style of Renaissance, Italian Renaissance architect Andrea Palladio, occupying a plateau on the banks of the Mississippi River. LSU is the Flagship campus, flagship university of the state of Louisiana, as well as the flagship institution of the Louisiana State University System. In 2021, the university enrolled over 28,000 undergraduate and more than 4,500 graduate students in 14 schools and colleges. It is Carnegie Classification of Institutions of Higher Education, classified ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Filter (mathematics)
In mathematics, a filter or order filter is a special subset of a partially ordered set (poset), describing "large" or "eventual" elements. Filters appear in order and lattice theory, but also topology, whence they originate. The notion dual to a filter is an order ideal. Special cases of filters include ultrafilters, which are filters that cannot be enlarged, and describe nonconstructive techniques in mathematical logic. Filters on sets were introduced by Henri Cartan in 1937. Nicolas Bourbaki, in their book '' Topologie Générale'', popularized filters as an alternative to E. H. Moore and Herman L. Smith's 1922 notion of a net; order filters generalize this notion from the specific case of a power set under inclusion to arbitrary partially ordered sets. Nevertheless, the theory of power-set filters retains interest in its own right, in part for substantial applications in topology. Motivation Fix a partially ordered set (poset) . Intuitively, a filter& ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Henri Cartan
Henri Paul Cartan (; 8 July 1904 – 13 August 2008) was a French mathematician who made substantial contributions to algebraic topology. He was the son of the mathematician Élie Cartan, nephew of mathematician Anna Cartan, oldest brother of composer , physicist and mathematician , and the son-in-law of physicist Pierre Weiss. Life According to his own words, Henri Cartan was interested in mathematics at a very young age, without being influenced by his family. He moved to Paris with his family after his father's appointment at Sorbonne in 1909 and he attended secondary school at Lycée Hoche in Versailles. available also at In 1923 he started studying mathematics at École Normale Supérieure, receiving an agrégation in 1926 and a doctorate in 1928. His PhD thesis, entitled ''Sur les systèmes de fonctions holomorphes à variétés linéaires lacunaires et leurs applications'', was supervised by Paul Montel. Cartan taught at Lycée Malherbe in Caen from 1928 to 1929, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1892 Births
In Samoa, this was the only leap year spanned to 367 days as July 4 repeated. This means that the International Date Line was drawn from the east of the country to go west. Events January * January 1 – Ellis Island begins processing Immigration to the United States, immigrants to the United States. February * February 27 – Rudolf Diesel applies for a patent, on his compression ignition engine (the Diesel engine). * February 29 – St. Petersburg, Florida is incorporated as a town. March * March 1 – Theodoros Deligiannis ends his term as Prime Minister of Greece and Konstantinos Konstantopoulos takes office. * March 6–March 8, 8 – "Exclusive Agreement": Rulers of the Trucial States (Abu Dhabi, Dubai, Sharjah, Ajman, Ras al-Khaimah and Umm al-Quwain) sign an agreement, by which they become ''de facto'' British protectorates. * March 11 – The first basketball game is played in public, between students and faculty at the Springfield YMCA before 200 spectators. The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Louisiana State University Faculty
Louisiana ( ; ; ) is a state in the Deep South and South Central regions of the United States. It borders Texas to the west, Arkansas to the north, and Mississippi to the east. Of the 50 U.S. states, it ranks 31st in area and 25th in population, with roughly 4.6 million residents. Reflecting its French heritage, Louisiana is the only U.S. state with political subdivisions termed parishes, which are equivalent to counties, making it one of only two U.S. states not subdivided into counties (the other being Alaska and its boroughs). Baton Rouge is the state's capital, and New Orleans, a French Louisiana region, is its most populous city with a population of about 363,000 people. Louisiana has a coastline with the Gulf of Mexico to the south; a large part of its eastern boundary is demarcated by the Mississippi River. Much of Louisiana's lands were formed from sediment washed down the Mississippi River, leaving enormous deltas and vast areas of coastal mar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Topologists
American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * American (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Athletic Conference, an American college athletic conference * American Recordings (record label), a record label that was previously known as Def American * American University, in Washington, D.C. Sports teams S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
