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Sergey Nikolsky
Sergey Mikhailovich Nikolsky (Russian: Серге́й Миха́йлович Нико́льский; 30 April 1905 – 9 November 2012) was a Russian mathematician. He was born in Talitsa, which was at that time located in Perm Governorate, Russian Empire. He had been an Academician since November 28, 1972. He also had won many scientific awards. At the age of 92 he was still actively giving lectures in Moscow
Moscow
Institute of Physics and Technology. In 2005, he was only giving talks at scientific conferences, but was still working in MIPT, at the age of 100. He died on 9 November 2012, aged 107. Scientific activities[edit] Nikolsky made fundamental contributions to functional analysis, approximation of functions, quadrature formulas, enclosed functional spaces and their applications to variational solutions of partial differential equations. He created a large scientific school of functions' theory and its applications
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Talitsa, Sverdlovsk Oblast
Talitsa (Russian: Талица) is the name of several inhabited localities in Russia.Contents1 Modern localities1.1 Altai Krai 1.2 Altai Republic 1.3 Ivanovo Oblast 1.4 Kirov Oblast 1.5 Komi Republic 1.6 Kostroma Oblast 1.7 Lipetsk Oblast 1.8 Nizhny Novgorod Oblast 1.9 Perm Krai 1.10 Sverdlovsk Oblast 1.11 Tver Oblast 1.12 Vologda Oblast 1.13 Yaroslavl Oblast2 Abolished localities 3 Alternative names 4 References4.1 Notes 4.2 SourcesModern localities[edit] Altai Krai[edit] As of 2012, two rural localities in Altai Krai
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Functional Analysis
Functional analysis
Functional analysis
is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations. The usage of the word functional as a noun goes back to the calculus of variations, implying a function whose argument is a function. The term was first used in Hadamard's 1910 book on that subject
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Special
Special
Special
or specials may refer to:Contents1 Music 2 Film and television 3 Other uses 4 See alsoMusic[edit] Special
Special
(album), a 1992
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Bibliothèque Nationale De France
The Bibliothèque nationale de France
France
(BnF, English: National Library of France"; French: [bi.bli.jɔ.tɛk na.sjɔ.nal də fʁɑ̃s]) is the national library of France, located in Paris. It is the national repository of all that is published in France
France
and also holds extensive historical collections.Contents1 History 2 New buildings 3 Mission 4 Manuscript
Manuscript
collection 5 Digital library 6 List of directors6.1 1369–1792 6.2 1792–present7 In popular culture 8 See also 9 References 10 Further reading 11 External linksHistory[edit]See also: History of the Bibliothèque nationale de France (fr)The National Library of France
France
traces its origin to the royal library founded at the Louvre Palace
Louvre Palace
by Charles V in 1368
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Système Universitaire De Documentation
The système universitaire de documentation or SUDOC is a system used by the libraries of French universities and higher education establishments to identify, track and manage the documents in their possession. The catalog, which contains more than 10 million references, allows students and researcher to search for bibliographical and location information in over 3,400 documentation centers. It is maintained by the Bibliographic Agency for Higher Education (fr) (ABES). External links[edit]Official websiteThis article relating to library science or information science is a stub
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LIBRIS
LIBRIS (Library Information System) is a Swedish national union catalogue maintained by the National Library of Sweden
Sweden
in Stockholm.[1] It is possible to freely search about 6.5 million titles nationwide.[2] In addition to bibliographic records, one for each book or publication, LIBRIS also contains an authority file of people
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International Standard Name Identifier
The International Standard Name Identifier (ISNI) is an identifier for uniquely identifying the public identities of contributors to media content such as books, television programmes, and newspaper articles. Such an identifier consists of 16 digits. It can optionally be displayed as divided into four blocks. It was developed under the auspices of the International Organization for Standardization (ISO) as Draft International Standard 27729; the valid standard was published on 15 March 2012
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Library Of Congress Control Number
The Library of Congress
Library of Congress
Control Number (LCCN) is a serially based system of numbering cataloging records in the Library of Congress
Library of Congress
in the United States. It has nothing to do with the contents of any book, and should not be confused with Library of Congress
Library of Congress
Classification.Contents1 History 2 Format 3 See also 4 References 5 External linksHistory[edit] The LCCN numbering system has been in use since 1898, at which time the acronym LCCN originally stood for Library of Congress
Library of Congress
Card Number. It has also been called the Library of Congress
Library of Congress
Catalog Card Number, among other names
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Mathematics Genealogy Project
The Mathematics
Mathematics
Genealogy Project is a web-based database for the academic genealogy of mathematicians.[1][2][3] By 3 January 2018, it contained information on 222,193 mathematical scientists who contributed to research-level mathematics
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Partial Differential Equations
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a relevant computer model. A special case is ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives. PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid dynamics, elasticity, or quantum mechanics. These seemingly distinct physical phenomena can be formalised similarly in terms of PDEs. Just as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems
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Calculus Of Variations
Calculus
Calculus
of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers.[Note 1] Functionals are often expressed as definite integrals involving functions and their derivatives. Functions that maximize or minimize functionals may be found using the Euler–Lagrange equation of the calculus of variations. A simple example of such a problem is to find the curve of shortest length connecting two points. If there are no constraints, the solution is obviously a straight line between the points. However, if the curve is constrained to lie on a surface in space, then the solution is less obvious, and possibly many solutions may exist. Such solutions are known as geodesics
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Quadrature Formulas
In numerical analysis, the Newton–Cotes formulae, also called the Newton–Cotes quadrature rules or simply Newton–Cotes rules, are a group of formulae for numerical integration (also called quadrature) based on evaluating the integrand at equally spaced points. They are named after Isaac Newton and Roger Cotes. Newton–Cotes formulae can be useful if the value of the integrand at equally spaced points is given. If it is possible to change the points at which the integrand is evaluated, then other methods such as Gaussian quadrature and Clenshaw–Curtis quadrature are probably more suitable.Contents1 Description 2 Instability for high degree 3 Closed Newton–Cotes formulae 4 Open Newton–Cotes formulae 5 Composite rules 6 See also 7 References 8 External linksDescription[edit] It is assumed that the value of a function ƒ defined on [a, b] is known at equally spaced points xi, for i = 0, …, n, where x0 = a and xn = b
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Approximation Of Functions
In mathematics, a linear approximation is an approximation of a general function using a linear function (more precisely, an affine function)
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Academician
An academician is a full member of an artistic, literary, or scientific academy. In many countries, it is an honorific title used to denote a full member of an academy that has a strong influence on national scientific life
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Perm Governorate
Coat of armsCapital PermHistory •  Established 1781 •  Disestablished November 3, 1923Area •  (1897) 332,052 km2 (128,206 sq mi)Population •  (1897) 2,994,302 Density 9 /km2  (23.4 /sq mi)Political subdivisions uezds: 12Map of the governorate Perm
Perm
Governorate (Russian: Пермская губерния) – an administrative unit of the Russian Empire
Russian Empire
and the Soviet Union
Soviet Union
in 1781–1923. Located on both slopes of the Ural Mountains
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