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Albert W. Tucker
Albert William Tucker (28 November 1905 – 25 January 1995) was a Canadian mathematician who made important contributions in topology, game theory, and non-linear programming. Biography Albert Tucker was born in Oshawa, Ontario, Canada, and earned his B.A. at the University of Toronto in 1928 and his M.A. at the same institution in 1929. In 1932, he earned his Ph.D. at Princeton University under the supervision of Solomon Lefschetz, with a dissertation entitled ''An Abstract Approach to Manifolds''. In 1932–33 he was a National Research Fellow at Cambridge, Harvard, and then University of Chicago. He then returned to Princeton to join the faculty in 1933, where he stayed until 1974. He chaired the mathematics department for about twenty years, one of the longest tenures. His extensive relationships within the field made him a great source for oral histories of the mathematics community. His Ph.D. students include Michel Balinski, David Gale, Alan J. Goldman, John Isbell, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oshawa, Ontario
Oshawa ( , also ; 2021 population 175,383; CMA 415,311) is a city in Ontario, Canada, on the Lake Ontario shoreline. It lies in Southern Ontario, approximately east of Downtown Toronto. It is commonly viewed as the eastern anchor of the Greater Toronto Area and of the Golden Horseshoe. It is the largest municipality in the Regional Municipality of Durham. The name Oshawa originates from the Ojibwa term ''aazhawe'', meaning "the crossing place" or just "a cross". Founded in 1876 as the McLaughlin Carriage Company by Robert McLaughlin, and then McLaughlin Motors Ltd by his son, Sam, General Motors of Canada's headquarters are located in the city. The automotive industry was the inspiration for Oshawa's previous mottos: "The City that Motovates Canada", and "The City in Motion". The lavish home of the automotive company's founder, Parkwood Estate, is a National Historic Site of Canada is located in the city. Once recognized as the sole "Automotive Capital of Canada", Oshaw ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alan Goldman (born 1961), French film producer
{{hndis, Goldman, Alan ...
Alan or Allan Goldman may refer to: *Alan H. Goldman (born 1945), American philosopher * Alan J. Goldman (1932–2010), American expert in operations research * Alan S. Goldman (born 1958), American chemist *Allan H. Goldman (born 1943), American real estate investor See also *Alain Goldman Alain Goldman, also known as Ilan Goldman (born 12 January 1961) is a French film producer. Early life Goldman was born in Montmartre, Paris, the son of Jewish parents. His grandfather was the first representative for Universal Pictures in Franc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Master Of Arts
A Master of Arts ( la, Magister Artium or ''Artium Magister''; abbreviated MA, M.A., AM, or A.M.) is the holder of a master's degree awarded by universities in many countries. The degree is usually contrasted with that of Master of Science. Those admitted to the degree have typically studied subjects within the scope of the humanities and social sciences, such as history, literature, languages, linguistics, public administration, political science, communication studies, law or diplomacy; however, different universities have different conventions and may also offer the degree for fields typically considered within the natural sciences and mathematics. The degree can be conferred in respect of completing courses and passing examinations, research, or a combination of the two. The degree of Master of Arts traces its origins to the teaching license or of the University of Paris, designed to produce "masters" who were graduate teachers of their subjects. Europe Czech Republic a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bachelor Of Arts
Bachelor of arts (BA or AB; from the Latin ', ', or ') is a bachelor's degree awarded for an undergraduate program in the arts, or, in some cases, other disciplines. A Bachelor of Arts degree course is generally completed in three or four years, depending on the country and institution. * Degree attainment typically takes four years in Afghanistan, Armenia, Azerbaijan, Bangladesh, Brazil, Brunei, China, Egypt, Ghana, Greece, Georgia, Hong Kong, Indonesia, Iran, Iraq, Ireland, Japan, Kazakhstan, Kenya, Kuwait, Latvia, Lebanon, Lithuania, Mexico, Malaysia, Mongolia, Myanmar, Nepal, Netherlands, Nigeria, Pakistan, the Philippines, Qatar, Russia, Saudi Arabia, Scotland, Serbia, South Korea, Spain, Sri Lanka, Taiwan, Thailand, Turkey, Ukraine, the United States and Zambia. * Degree attainment typically takes three years in Albania, Australia, Bosnia and Herzegovina, the Caribbean, Iceland, India, Israel, Italy, New Zealand, Norway, South Africa, Switzerland, the Canadian province of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Non-linear Programming
In mathematics, nonlinear programming (NLP) is the process of solving an optimization problem where some of the constraints or the objective function are nonlinear. An optimization problem is one of calculation of the extrema (maxima, minima or stationary points) of an objective function over a set of unknown real variables and conditional to the satisfaction of a system of equalities and inequalities, collectively termed constraints. It is the sub-field of mathematical optimization that deals with problems that are not linear. Applicability A typical non-convex problem is that of optimizing transportation costs by selection from a set of transportation methods, one or more of which exhibit economies of scale, with various connectivities and capacity constraints. An example would be petroleum product transport given a selection or combination of pipeline, rail tanker, road tanker, river barge, or coastal tankship. Owing to economic batch size the cost functions may have discontin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Game Theory
Game theory is the study of mathematical models of strategic interactions among rational agents. Myerson, Roger B. (1991). ''Game Theory: Analysis of Conflict,'' Harvard University Press, p.&nbs1 Chapter-preview links, ppvii–xi It has applications in all fields of social science, as well as in logic, systems science and computer science. Originally, it addressed two-person zero-sum games, in which each participant's gains or losses are exactly balanced by those of other participants. In the 21st century, game theory applies to a wide range of behavioral relations; it is now an umbrella term for the science of logical decision making in humans, animals, as well as computers. Modern game theory began with the idea of mixed-strategy equilibria in two-person zero-sum game and its proof by John von Neumann. Von Neumann's original proof used the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathema ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topology
In mathematics, topology (from the Greek language, Greek words , and ) is concerned with the properties of a mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformations, such as Stretch factor, stretching, Twist (mathematics), twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself. A topological space is a set (mathematics), set endowed with a structure, called a ''Topology (structure), topology'', which allows defining continuous deformation of subspaces, and, more generally, all kinds of continuity (mathematics), continuity. Euclidean spaces, and, more generally, metric spaces are examples of a topological space, as any distance or metric defines a topology. The deformations that are considered in topology are homeomorphisms and homotopy, homotopies. A property that is invariant under such deformations is a topological property. Basic exampl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Von Neumann Theory Prize
The John von Neumann Theory Prize of the Institute for Operations Research and the Management Sciences (INFORMS) is awarded annually to an individual (or sometimes a group) who has made fundamental and sustained contributions to theory in operations research and the management sciences. The Prize named after mathematician John von Neumann is awarded for a body of work, rather than a single piece. The Prize was intended to reflect contributions that have stood the test of time. The criteria include significance, innovation, depth, and scientific excellence. The award is $5,000, a medallion and a citation. The Prize has been awarded since 1975. The first recipient was George B. Dantzig for his work on linear programming. List of recipients * 2022 Vijay Vazirani * 2021 Alexander Shapiro * 2020 Adrian Lewis * 2019 Dimitris Bertsimas and Jong-Shi Pang * 2018 Dimitri Bertsekas and John Tsitsiklis ** ''for contributions to Parallel and Distributed Computation as well as Neurodynam ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harold W
Harold may refer to: People * Harold (given name), including a list of persons and fictional characters with the name * Harold (surname), surname in the English language * András Arató, known in meme culture as "Hide the Pain Harold" Arts and entertainment * ''Harold'' (film), a 2008 comedy film * ''Harold'', an 1876 poem by Alfred, Lord Tennyson * ''Harold, the Last of the Saxons'', an 1848 book by Edward Bulwer-Lytton, 1st Baron Lytton * ''Harold or the Norman Conquest'', an opera by Frederic Cowen * ''Harold'', an 1885 opera by Eduard Nápravník * Harold, a character from the cartoon ''The Grim Adventures of Billy & Mandy'' *Harold & Kumar, a US movie; Harold/Harry is the main actor in the show. Places ;In the United States * Alpine, Los Angeles County, California, an erstwhile settlement that was also known as Harold * Harold, Florida, an unincorporated community * Harold, Kentucky, an unincorporated community * Harold, Missouri, an unincorporated community ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oriented Matroid
An oriented matroid is a mathematics, mathematical mathematical structure, structure that abstracts the properties of directed graphs, Vector space, vector arrangements over ordered fields, and Arrangement of hyperplanes, hyperplane arrangements over ordered fields. In comparison, an ordinary (i.e., non-oriented) matroid abstracts the linear independence, dependence properties that are common both to Graph (discrete mathematics), graphs, which are not necessarily ''directed'', and to arrangements of vectors over field (mathematics), fields, which are not necessarily ''ordered''. All oriented matroids have an underlying matroid. Thus, results on ordinary matroids can be applied to oriented matroids. However, the conversion (logic), converse is false; some matroids cannot become an oriented matroid by ''orienting'' an underlying structure (e.g., circuits or independent sets). The distinction between matroids and oriented matroids is discussed further below. Matroids are often usefu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Karush–Kuhn–Tucker Conditions
In mathematical optimization, the Karush–Kuhn–Tucker (KKT) conditions, also known as the Kuhn–Tucker conditions, are first derivative tests (sometimes called first-order necessary conditions) for a solution in nonlinear programming to be optimal, provided that some regularity conditions are satisfied. Allowing inequality constraints, the KKT approach to nonlinear programming generalizes the method of Lagrange multipliers, which allows only equality constraints. Similar to the Lagrange approach, the constrained maximization (minimization) problem is rewritten as a Lagrange function whose optimal point is a saddle point, i.e. a global maximum (minimum) over the domain of the choice variables and a global minimum (maximum) over the multipliers, which is why the Karush–Kuhn–Tucker theorem is sometimes referred to as the saddle-point theorem. The KKT conditions were originally named after Harold W. Kuhn and Albert W. Tucker, who first published the conditions in 1951. L ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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