Vieri Benci
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Vieri Benci
Vieri Benci (born May 9, 1949) is an Italian mathematician who worked at the University of Pisa. He has contributed to various fields of mathematics such as the partial differential equations (PDEs), mathematical physics, Hamiltonian dynamics, soliton theory, the geometry of general relativity, nonstandard analysis and the foundations of mathematics. In the latter two disciplines he introduced, in collaboration with M. Di Nasso and M. Forti, a theory of numerosity that refines the cantorian theory of cardinality; he has also worked on applications of nonstandard analysis to probability. Education and career After winning the admission competition to the Scuola Normale Superiore in Pisa in 1968, ranking first, he graduated in mathematics in 1972 under the guidance of Guido Stampacchia at the University of Pisa, at the same time obtaining the diploma as a normalist. He continued his studies at the University of Paris VI (1972-74) and at Courant Institute of Mathematical Scienc ...
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Vieri Benci 06 11 2014
Christian Vieri (; born 12 July 1973), commonly known as Bobo Vieri, is an Italian former professional footballer who played as a centre forward. Having been born in Italy, Vieri moved with his family to Australia as a child, before returning to Italy to pursue his professional career at a young age. He then spent the bulk of his career playing in the Serie A. In March 2004, he was named in the FIFA 100, a list of the 125 greatest living footballers selected by Pelé as a part of FIFA's centenary celebrations. A prolific goalscorer, for a number of years, he was regarded as one of the best strikers of this generation, leading to him becoming the world's most expensive player in 1999 when Inter Milan paid Lazio £32 million (€43 million) for his services. Something of a footballing nomad, Vieri played for no fewer than 12 clubs throughout his career, mainly in Italy, but also in Spain and France. He started his career with Torino in 1991, but his most notable and suc ...
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Stanford Encyclopedia Of Philosophy
The ''Stanford Encyclopedia of Philosophy'' (''SEP'') is a freely available online philosophy resource published and maintained by Stanford University, encompassing both an online encyclopedia of philosophy and peer-reviewed original publication. Each entry is written and maintained by an expert in the field, including professors from many academic institutions worldwide. Authors contributing to the encyclopedia give Stanford University the permission to publish the articles, but retain the copyright to those articles. Approach and history As of August 5, 2022, the ''SEP'' has 1,774 published entries. Apart from its online status, the encyclopedia uses the traditional academic approach of most encyclopedias and academic journals to achieve quality by means of specialist authors selected by an editor or an editorial committee that is competent (although not necessarily considered specialists) in the field covered by the encyclopedia and peer review. The encyclopedia was created i ...
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World Scientific
World Scientific Publishing is an academic publisher of scientific, technical, and medical books and journals headquartered in Singapore. The company was founded in 1981. It publishes about 600 books annually, with more than 170 journals in various fields. In 1995, World Scientific co-founded the London-based Imperial College Press together with the Imperial College of Science, Technology and Medicine. Company structure The company head office is in Singapore. The Chairman and Editor-in-Chief is Dr Phua Kok Khoo, while the Managing Director is Doreen Liu. The company was co-founded by them in 1981. Imperial College Press In 1995 the company co-founded Imperial College Press, specializing in engineering, medicine and information technology Information technology (IT) is a set of related fields within information and communications technology (ICT), that encompass computer systems, software, programming languages, data processing, data and information processing, a ...
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Mathematical Reviews
''Mathematical Reviews'' is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science. The AMS also publishes an associated online bibliographic database called MathSciNet, which contains an electronic version of ''Mathematical Reviews''. Reviews Mathematical Reviews was founded by Otto E. Neugebauer in 1940 as an alternative to the German journal '' Zentralblatt für Mathematik'', which Neugebauer had also founded a decade earlier, but which under the Nazis had begun censoring reviews by and of Jewish mathematicians. The goal of the new journal was to give reviews of every mathematical research publication. As of November 2007, the ''Mathematical Reviews'' database contained information on over 2.2 million articles. The authors of reviews are volunteers, usually chosen by the editors because of some expertise in the area of the articl ...
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Università Degli Studi Di Genova
The University of Genoa () is a public research university. It is one of the largest universities in Italy and it is located in the city of Genoa, on the Italian Riviera in the Liguria region of northwestern Italy. The original university was founded in 1481. Campuses The University of Genoa is organized in several independent campuses located in different city areas: *The Balbi campus: includes the Rectorate, the central administration offices, the departments of Economics, Humanities, Philosophy, Languages, Law and Political Science; * The Sarzano campus: includes the departments of Education Sciences and Architecture; * The Albaro campus: comprises the departments of Engineering; * The Valletta Puggia campus: comprises the Departments of Mathematics, Physics and Chemistry; * The San Martino campus: comprises the Departments of Medicine and Earth Sciences; Of great historical and artistic interest are the buildings in Via Balbi and in particular: the main university premises ...
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Nonstandard Analysis
The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard way to resolve these debates is to define the operations of calculus using (ε, δ)-definition of limit, limits rather than infinitesimals. Nonstandard analysis instead reformulates the calculus using a logically rigorous notion of infinitesimal numbers. Nonstandard analysis originated in the early 1960s by the mathematician Abraham Robinson. He wrote: ... the idea of infinitely small or ''infinitesimal'' quantities seems to appeal naturally to our intuition. At any rate, the use of infinitesimals was widespread during the formative stages of the Differential and Integral Calculus. As for the objection ... that the distance between two distinct real numbers cannot be infinitely small, Gottfried Wilhelm Leibniz argued that the theory of infinitesimals implies the introduction of ideal numbers which might be infinitely small or inf ...
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Numerosity
Numerosity may refer to: Cognitive science * Numerical cognition, a subdiscipline of cognitive science that studies the cognitive, developmental and neural bases of numbers and mathematics. Mathematics * Numerosity (mathematics), a theory for counting the number of elements of sets having infinite elements. It is a theory that refines Cantor's cardinality. Psychology * Number sense In psychology, number sense is the term used for the hypothesis that some animals, particularly humans, have a biologically determined ability that allows them to represent and manipulate large numerical quantities. The term was popularized by ..., a term used for the hypothesis that some animals, particularly humans, have a biologically determined ability that allows them to represent and manipulate large numerical quantities. [Baidu]  


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Maxwell's Equations
Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, Electrical network, electric and Magnetic circuit, magnetic circuits. The equations provide a mathematical model for electric, optical, and radio technologies, such as power generation, electric motors, wireless communication, lenses, radar, etc. They describe how electric field, electric and magnetic fields are generated by electric charge, charges, electric current, currents, and changes of the fields.''Electric'' and ''magnetic'' fields, according to the theory of relativity, are the components of a single electromagnetic field. The equations are named after the physicist and mathematician James Clerk Maxwell, who, in 1861 and 1862, published an early form of the equations that included the Lorentz force law. Maxwell first used the equations to propose that ligh ...
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Paul Rabinowitz
Paul H. Rabinowitz (born 1939) is the Edward Burr Van Vleck Professor of Mathematics and a Vilas Research Professor at the University of Wisconsin, Madison. He received a Ph.D. from New York University in 1966 under the direction of Jürgen Moser. From 1966 to 1969 he held a position as assistant professor at Stanford University. He has visited many mathematical institutions all over the world (among them universities at Aarhus, Pisa, Paris and ETH in Zurich). In 1978 Paul Rabinowitz became a fellow of the John Simon Guggenheim Memorial Foundation. He works in the fields of partial differential equations and nonlinear analysis. He is best known for his global bifurcation theorem and the mountain pass theorem, the latter done jointly with Antonio Ambrosetti. However also the linking and saddle point theorems, results concerning the existence of periodic solutions to hamiltonian systems, variational methods in the theory of critical points of strongly indefinite functional, in colla ...
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Partial Derivative
In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry. The partial derivative of a function f(x, y, \dots) with respect to the variable x is variously denoted by It can be thought of as the rate of change of the function in the x-direction. Sometimes, for the partial derivative of z with respect to x is denoted as \tfrac. Since a partial derivative generally has the same arguments as the original function, its functional dependence is sometimes explicitly signified by the notation, such as in: f'_x(x, y, \ldots), \frac (x, y, \ldots). The symbol used to denote partial derivatives is ∂. One of the first known uses of this symbol in mathematics is by Marquis de Condorcet from 1770, who used it for partial differ ...
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New York University
New York University (NYU) is a private university, private research university in New York City, New York, United States. Chartered in 1831 by the New York State Legislature, NYU was founded in 1832 by Albert Gallatin as a Nondenominational Christianity, non-denominational all-male institution near New York City Hall, City Hall based on a curriculum focused on a secular education. The university moved in 1833 and has maintained its main campus in Greenwich Village surrounding Washington Square Park. Since then, the university has added an engineering school in Brooklyn's MetroTech Center and graduate schools throughout Manhattan. NYU is one of the largest private universities in the United States by enrollment, with a total of 51,848 enrolled students in 2021. It is one of the most applied-to schools in the country and admissions are considered selective. NYU's main campus in New York City is organized into ten undergraduate schools, including the New York University College ...
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