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Thomas Joannes Stieltjes

Index Thomas Joannes Stieltjes

Thomas Joannes Stieltjes (29 December 1856 – 31 December 1894) was a Dutch mathematician. [1]

47 relations: Analytic geometry, Annales de la Faculté des Sciences de Toulouse, École normale supérieure (Paris), Carl Friedrich Gauss, Carl Gustav Jacob Jacobi, Celestial mechanics, Charles Hermite, Chebyshev–Markov–Stieltjes inequalities, Civil engineer, Continued fraction, Continuous function, David Bierens de Haan, Delft, Delft University of Technology, Descriptive geometry, Differential equation, Divergent series, Elliptic function, France, French Academy of Sciences, Gamma function, Groningen, H. G. van de Sande Bakhuyzen, Harbor, Hilbert space, Interpolation, Jean Gaston Darboux, Laplace–Stieltjes transform, Lebesgue–Stieltjes integration, Leiden, Leiden University, Mathematical analysis, Mathematics, Moment problem, Netherlands, Number theory, Politician, Riemann–Stieltjes integral, Rotterdam, Royal Netherlands Academy of Arts and Sciences, States General of the Netherlands, Stieltjes matrix, Stieltjes moment problem, Stieltjes transformation, Stieltjes–Wigert polynomials, Toulouse, Zwolle.

Analytic geometry

In classical mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system.

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Annales de la Faculté des Sciences de Toulouse

The Annales de la Faculté des Sciences de Toulouse is a peer-reviewed scientific journal covering all fields of mathematics.

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École normale supérieure (Paris)

The École normale supérieure (also known as Normale sup', Ulm, ENS Paris, l'École and most often just as ENS) is one of the most selective and prestigious French grandes écoles (higher education establishment outside the framework of the public university system) and a constituent college of Université PSL.

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Carl Friedrich Gauss

Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.

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Carl Gustav Jacob Jacobi

Carl Gustav Jacob Jacobi (10 December 1804 – 18 February 1851) was a German mathematician, who made fundamental contributions to elliptic functions, dynamics, differential equations, and number theory.

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Celestial mechanics

Celestial mechanics is the branch of astronomy that deals with the motions of celestial objects.

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Charles Hermite

Prof Charles Hermite FRS FRSE MIAS (24 December 1822 – 14 January 1901) was a French mathematician who did research concerning number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra.

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Chebyshev–Markov–Stieltjes inequalities

In mathematical analysis, the Chebyshev–Markov–Stieltjes inequalities are inequalities related to the problem of moments that were formulated in the 1880s by Pafnuty Chebyshev and proved independently by Andrey Markov and (somewhat later) by Thomas Jan Stieltjes.

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Civil engineer

A civil engineer is a person who practices civil engineering – the application of planning, designing, constructing, maintaining, and operating infrastructures while protecting the public and environmental health, as well as improving existing infrastructures that have been neglected.

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Continued fraction

In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on.

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Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

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David Bierens de Haan

David Bierens de Haan (3 May 1822, Amsterdam – 12 August 1895, Leiden) was a Dutch mathematician and historian of science.

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Delft

Delft is a city and municipality in the province of South Holland, Netherlands.

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Delft University of Technology

Delft University of Technology (Technische Universiteit Delft) also known as TU Delft, is the largest and oldest Dutch public technological university, located in Delft, Netherlands.

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Descriptive geometry

Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions, by using a specific set of procedures.

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Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

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Divergent series

In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit.

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Elliptic function

In complex analysis, an elliptic function is a meromorphic function that is periodic in two directions.

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France

France, officially the French Republic (République française), is a sovereign state whose territory consists of metropolitan France in Western Europe, as well as several overseas regions and territories.

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French Academy of Sciences

The French Academy of Sciences (French: Académie des sciences) is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research.

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Gamma function

In mathematics, the gamma function (represented by, the capital Greek alphabet letter gamma) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.

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Groningen

Groningen (Gronings: Grunnen) is the main municipality as well as the capital city of the eponymous province in the Netherlands.

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H. G. van de Sande Bakhuyzen

Hendricus Gerardus van de Sande Bakhuyzen (April 2, 1838, The Hague – January 8, 1923, Leiden) was a Dutch astronomer.

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Harbor

A harbor or harbour (see spelling differences; synonyms: wharves, haven) is a sheltered body of water where ships, boats, and barges can be docked.

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Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

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Interpolation

In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points.

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Jean Gaston Darboux

Jean-Gaston Darboux FAS MIF FRS FRSE (14 August 1842 – 23 February 1917) was a French mathematician.

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Laplace–Stieltjes transform

The Laplace–Stieltjes transform, named for Pierre-Simon Laplace and Thomas Joannes Stieltjes, is an integral transform similar to the Laplace transform.

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Lebesgue–Stieltjes integration

In measure-theoretic analysis and related branches of mathematics, Lebesgue–Stieltjes integration generalizes Riemann–Stieltjes and Lebesgue integration, preserving the many advantages of the former in a more general measure-theoretic framework.

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Leiden

Leiden (in English and archaic Dutch also Leyden) is a city and municipality in the province of South Holland, Netherlands.

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Leiden University

Leiden University (abbreviated as LEI; Universiteit Leiden), founded in the city of Leiden, is the oldest university in the Netherlands.

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Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Moment problem

In mathematics, a moment problem arises as the result of trying to invert the mapping that takes a measure μ to the sequences of moments More generally, one may consider for an arbitrary sequence of functions Mn.

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Netherlands

The Netherlands (Nederland), often referred to as Holland, is a country located mostly in Western Europe with a population of seventeen million.

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Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

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Politician

A politician is a person active in party politics, or a person holding or seeking office in government.

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Riemann–Stieltjes integral

In mathematics, the Riemann–Stieltjes integral is a generalization of the Riemann integral, named after Bernhard Riemann and Thomas Joannes Stieltjes.

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Rotterdam

Rotterdam is a city in the Netherlands, in South Holland within the Rhine–Meuse–Scheldt river delta at the North Sea.

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Royal Netherlands Academy of Arts and Sciences

The Royal Netherlands Academy of Arts and Sciences (Koninklijke Nederlandse Akademie van Wetenschappen, abbreviated: KNAW) is an organization dedicated to the advancement of science and literature in the Netherlands.

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States General of the Netherlands

The States General of the Netherlands (Staten-Generaal) is the bicameral legislature of the Netherlands consisting of the Senate (Eerste Kamer) and the House of Representatives (Tweede Kamer).

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Stieltjes matrix

In mathematics, particularly matrix theory, a Stieltjes matrix, named after Thomas Joannes Stieltjes, is a real symmetric positive definite matrix with nonpositive off-diagonal entries.

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Stieltjes moment problem

In mathematics, the Stieltjes moment problem, named after Thomas Joannes Stieltjes, seeks necessary and sufficient conditions for a sequence to be of the form for some measure μ.

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Stieltjes transformation

In mathematics, the Stieltjes transformation Sρ(z) of a measure of density ρ on a real interval I is the function of the complex variable z defined outside I by the formula Under certain conditions we can reconstitute the density function ρ starting from its Stieltjes transformation thanks to the inverse formula of Stieltjes-Perron.

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Stieltjes–Wigert polynomials

In mathematics, Stieltjes–Wigert polynomials (named after Thomas Jan Stieltjes and Carl Severin Wigert) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, for the weight function on the positive real line x > 0.

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Toulouse

Toulouse (Tolosa, Tolosa) is the capital of the French department of Haute-Garonne and of the region of Occitanie.

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Zwolle

Zwolle is a city and municipality in the northeastern Netherlands serving as Overijssel's capital.

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References

[1] https://en.wikipedia.org/wiki/Thomas_Joannes_Stieltjes

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