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Thomas Simpson (crop)
Thomas Simpson FRS (20 August 1710 – 14 May 1761) was a British mathematician and inventor known for the eponymous Simpson's rule to approximate definite integrals. The attribution, as often in mathematics, can be debated: this rule had been found 100 years earlier by Johannes Kepler, and in German it is called Keplersche Fassregel. Biography Simpson was born in Sutton Cheney, Leicestershire. The son of a weaver, Simpson taught himself mathematics. At the age of nineteen, he married a fifty-year old widow with two children. As a youth, he became interested in astrology after seeing a solar eclipse. He also dabbled in divination and caused fits in a girl after 'raising a devil' from her. After this incident, he and his wife had to flee to Derby. He moved with his wife and children to London at age twenty-five, where he supported his family by weaving during the day and teaching mathematics at night. From 1743, he taught mathematics at the Royal Military Academy, Woolwic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Simpson's Rule
In numerical integration, Simpson's rules are several approximations for definite integrals, named after Thomas Simpson (1710–1761). The most basic of these rules, called Simpson's 1/3 rule, or just Simpson's rule, reads \int_a^b f(x) \, dx \approx \frac \left (a) + 4f\left(\frac\right) + f(b)\right In German and some other languages, it is named after Johannes Kepler, who derived it in 1615 after seeing it used for wine barrels (barrel rule, ). The approximate equality in the rule becomes exact if is a polynomial up to and including 3rd degree. If the 1/3 rule is applied to ''n'' equal subdivisions of the integration range 'a'', ''b'' one obtains the composite Simpson's 1/3 rule. Points inside the integration range are given alternating weights 4/3 and 2/3. Simpson's 3/8 rule, also called Simpson's second rule, requires one more function evaluation inside the integration range and gives lower error bounds, but does not improve on order of the error. If the 3/8 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
James Gregory (astronomer And Mathematician)
James Gregory FRS (November 1638 – October 1675) was a Scottish mathematician and astronomer. His surname is sometimes spelt as Gregorie, the original Scottish spelling. He described an early practical design for the reflecting telescope – the Gregorian telescope – and made advances in trigonometry, discovering infinite series representations for several trigonometric functions. In his book ''Geometriae Pars Universalis'' (1668) Gregory gave both the first published statement and proof of the fundamental theorem of the calculus (stated from a geometric point of view, and only for a special class of the curves considered by later versions of the theorem), for which he was acknowledged by Isaac Barrow. Biography Gregory was born in 1638. His mother Janet was the daughter of Jean and David Anderson and his father was John Gregory, an Episcopalian Church of Scotland minister, James was youngest of their three children and he was born in the manse at Drumoak, Aberdeenshire, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paul Krugman
Paul Robin Krugman ( ; born February 28, 1953) is an American economist, who is Distinguished Professor of Economics at the Graduate Center of the City University of New York, and a columnist for ''The New York Times''. In 2008, Krugman was the winner of the Nobel Memorial Prize in Economic Sciences for his contributions to New Trade Theory and New Economic Geography. The Prize Committee cited Krugman's work explaining the patterns of international trade and the geographic distribution of economic activity, by examining the effects of economies of scale and of consumer preferences for diverse goods and services. Krugman was previously a professor of economics at MIT, and later at Princeton University. He retired from Princeton in June 2015, and holds the title of professor emeritus there. He also holds the title of Centennial Professor at the London School of Economics. Krugman was President of the Eastern Economic Association in 2010, and is among the most influential economi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Economic Geography
Economic geography is the subfield of human geography which studies economic activity and factors affecting them. It can also be considered a subfield or method in economics. There are four branches of economic geography. There is, primary sector, Secondary sector, Tertiary sector, & Quaternary sector. Economic geography takes a variety of approaches to many different topics, including the location of industries, economies of agglomeration (also known as "linkages"), transportation, international trade, development, real estate, gentrification, ethnic economies, gendered economies, core-periphery theory, the economics of urban form, the relationship between the environment and the economy (tying into a long history of geographers studying culture-environment interaction), and globalization. Theoretical background and influences There are varied methodological approaches. Neoclassical location theorists, following in the tradition of Alfred Weber, tend to focus on industria ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brigitte Jaumard
Brigitte Jaumard is a computer scientist and expert on mathematical programming. She earned a doctorate in 2006 from ENSTA ParisTech under the supervision of Michel Minoux, after previously teaching at Polytechnique Montréal. She is a professor of computer science and software engineering at Concordia University Concordia University ( French: ''Université Concordia'') is a public research university located in Montreal, Quebec, Canada. Founded in 1974 following the merger of Loyola College and Sir George Williams University, Concordia is one of the t ..., where she is the holder of an Honorary Concordia Research Chair in Optimization of Communication Networks. References External links * Canadian women computer scientists Canadian computer scientists Academic staff of Concordia University Year of birth missing (living people) Living people {{compu-scientist-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Space Economy
Commercial use of space is the provision of goods or services of commercial value by using equipment sent into Earth orbit or outer space. This phenomenon – aka Space Economy (or New Space Economy) – is accelerating cross-sector innovation processes combining the most advanced space and digital technologies to develop a broad portfolio of space-based services. The use of space technologies and of the data they collect, combined with the most advanced enabling digital technologies is generating a multitude of business opportunities that include the development of new products and services all the way to the creation of new business models, and the reconfiguration of value networks and relationships between companies. If well leveraged such technology and business opportunities can contribute to the creation of tangible and intangible value, through new forms and sources of revenue, operating efficiency and the start of new projects leading to multidimensional (e.g. society, e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Von Thünen
The term ''von'' () is used in German language surnames either as a nobiliary particle indicating a noble patrilineality, or as a simple preposition used by commoners that means ''of'' or ''from''. Nobility directories like the ''Almanach de Gotha'' often abbreviate the noble term ''von'' to ''v.'' In medieval or early modern names, the ''von'' particle was at times added to commoners' names; thus, ''Hans von Duisburg'' meant "Hans from he city ofDuisburg". This meaning is preserved in Swiss toponymic surnames and in the Dutch or Afrikaans '' van'', which is a cognate of ''von'' but does not indicate nobility. Usage Germany and Austria The abolition of the monarchies in Germany and Austria in 1919 meant that neither state has a privileged nobility, and both have exclusively republican governments. In Germany, this means that legally ''von'' simply became an ordinary part of the surnames of the people who used it. There are no longer any legal privileges or constraints asso ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fermat Point
In Euclidean geometry, the Fermat point of a triangle, also called the Torricelli point or Fermat–Torricelli point, is a point such that the sum of the three distances from each of the three vertices of the triangle to the point is the smallest possible. It is so named because this problem was first raised by Fermat in a private letter to Evangelista Torricelli, who solved it. The Fermat point gives a solution to the geometric median and Steiner tree problems for three points. Construction The Fermat point of a triangle with largest angle at most 120° is simply its first isogonic center or X(13), which is constructed as follows: # Construct an equilateral triangle on each of two arbitrarily chosen sides of the given triangle. # Draw a line from each new vertex to the opposite vertex of the original triangle. # The two lines intersect at the Fermat point. An alternative method is the following: # On each of two arbitrarily chosen sides, construct an isosceles triangle, with ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Luc-Normand Tellier
Luc-Normand Tellier (born October 10, 1944) is a Professor Emeritus in spatial economics of the University of Quebec at Montreal. Education and teaching After teaching for two years (1964–1966) at the Collège Saint-André of Kigali, Rwanda, as a Canadian Peace Corps (CUSO/SUCO) volunteer, Tellier studied both economics and city planning. He obtained a bachelor's degree in Economics (1968) and a master's degree in City planning (1971) from the University of Montreal, as well as a master's degree (1971) and a Ph.D. (1973) in Regional science from the "Ivy League" University of Pennsylvania. Later, he taught urban economics at the "Institut d’urbanisme" of the University of Montreal before founding, in 1976, the Department of Urban Studies and Tourism of the University of Quebec at Montreal. He was chairman of that department for 13 years as well as, from 1981 to 1983, the director of the "Urbanisation" research center of the Institut National de la Recherche Scientifique (INR ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weber Problem
In geometry, the Weber problem, named after Alfred Weber, is one of the most famous problems in location theory. It requires finding a point in the plane that minimizes the sum of the transportation costs from this point to ''n'' destination points, where different destination points are associated with different costs per unit distance. The Weber problem generalizes the geometric median, which assumes transportation costs per unit distance are the same for all destination points, and the problem of computing the Fermat point, the geometric median of three points. For this reason it is sometimes called the Fermat–Weber problem, although the same name has also been used for the unweighted geometric median problem. The Weber problem is in turn generalized by the attraction–repulsion problem, which allows some of the costs to be negative, so that greater distance from some points is better. Definition and history of the Fermat, Weber, and attraction-repulsion problems In th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alfred Weber
Alfred Weber (; 30 July 1868 – 2 May 1958) was a German economist, geographer, sociologist and theoretician of culture whose work was influential in the development of modern economic geography. Life Alfred Weber, younger brother of the well-known sociologist Max Weber, was born in Erfurt and raised in Charlottenburg. From 1907 to 1933, he was a professor at the University of Heidelberg. Weber started his carrier as a lawyer and worked as a sociologist and cultural philosopher. Work Weber supported reintroducing theory and causal models to the field of economics, in addition to using historical analysis. In this field, his achievements involve work on early models of industrial location. He lived during the period when sociology became a separate field of science. Though his theory on 'Industrial Location' was strictly economic during his time it is widely studied in the field of geography now, mostly as a theoretical concept in the subdomain of economic geography. W ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
