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27 relations: École Polytechnique, Belgium, Bruges, Cassini and Catalan identities, Catalan number, Catalan solid, Catalan surface, Catalan's conjecture, Catalan's constant, Catalan's minimal surface, Charles Hermite, Châlons-en-Champagne, Combinatorics, Constantin Le Paige, Continued fraction, Descriptive geometry, Double Mersenne number, Fibonacci number, Joseph Liouville, Kingdom of the Netherlands, Liège, Number theory, Preda Mihăilescu, Revolutions of 1848, Romania, Royal Academies for Science and the Arts of Belgium, University of Liège.
École Polytechnique
École Polytechnique (also known as EP or X) is a French public institution of higher education and research in Palaiseau, a suburb southwest of Paris.
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Belgium
Belgium, officially the Kingdom of Belgium, is a country in Western Europe bordered by France, the Netherlands, Germany and Luxembourg.
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Bruges
Bruges (Brugge; Bruges; Brügge) is the capital and largest city of the province of West Flanders in the Flemish Region of Belgium, in the northwest of the country.
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Cassini and Catalan identities
Cassini's identity and Catalan's identity are mathematical identities for the Fibonacci numbers.
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Catalan number
In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems, often involving recursively-defined objects.
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Catalan solid
In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid.
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Catalan surface
In geometry, a Catalan surface, named after the Belgian mathematician Eugène Charles Catalan, is a ruled surface all of whose rulings are parallel to a fixed plane.
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Catalan's conjecture
Catalan's conjecture (or Mihăilescu's theorem) is a theorem in number theory that was conjectured by the mathematician Eugène Charles Catalan in 1844 and proven in 2002 by Preda Mihăilescu.
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Catalan's constant
In mathematics, Catalan's constant, which appears in combinatorics, is defined by where is the Dirichlet beta function.
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Catalan's minimal surface
In differential geometry, Catalan's minimal surface is a minimal surface originally studied by Eugène Charles Catalan in 1855.
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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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Châlons-en-Champagne
Châlons-en-Champagne is a city in the Grand Est region of France.
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Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.
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Constantin Le Paige
Constantin Marie Le Paige (9 March 1852 – 26 January 1929) was a Belgian mathematician.
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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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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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Double Mersenne number
In mathematics, a double Mersenne number is a Mersenne number of the form where p is a prime exponent.
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Fibonacci number
In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number after the first two is the sum of the two preceding ones: Often, especially in modern usage, the sequence is extended by one more initial term: By definition, the first two numbers in the Fibonacci sequence are either 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.
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Joseph Liouville
Joseph Liouville FRS FRSE FAS (24 March 1809 – 8 September 1882) was a French mathematician.
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Kingdom of the Netherlands
The Kingdom of the Netherlands (Koninkrijk der Nederlanden), commonly known as the Netherlands, is a sovereign state and constitutional monarchy with the large majority of its territory in Western Europe and with several small island territories in the Caribbean Sea, in the West Indies islands (Leeward Islands and Lesser Antilles).
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Liège
Liège (Lidje; Luik,; Lüttich) is a major Walloon city and municipality and the capital of the Belgian province of Liège. The city is situated in the valley of the Meuse, in the east of Belgium, not far from borders with the Netherlands (Maastricht is about to the north) and with Germany (Aachen is about north-east). At Liège, the Meuse meets the River Ourthe. The city is part of the sillon industriel, the former industrial backbone of Wallonia. It still is the principal economic and cultural centre of the region. The Liège municipality (i.e. the city proper) includes the former communes of Angleur, Bressoux, Chênée, Glain, Grivegnée, Jupille-sur-Meuse, Rocourt, and Wandre. In November 2012, Liège had 198,280 inhabitants. The metropolitan area, including the outer commuter zone, covers an area of 1,879 km2 (725 sq mi) and had a total population of 749,110 on 1 January 2008. Population of all municipalities in Belgium on 1 January 2008. Retrieved on 2008-10-19. Definitions of metropolitan areas in Belgium. The metropolitan area of Liège is divided into three levels. First, the central agglomeration (agglomeratie) with 480,513 inhabitants (2008-01-01). Adding the closest surroundings (banlieue) gives a total of 641,591. And, including the outer commuter zone (forensenwoonzone) the population is 810,983. Retrieved on 2008-10-19. This includes a total of 52 municipalities, among others, Herstal and Seraing. Liège ranks as the third most populous urban area in Belgium, after Brussels and Antwerp, and the fourth municipality after Antwerp, Ghent and Charleroi.
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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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Preda Mihăilescu
Preda V. Mihăilescu (born May 23, 1955) is a Romanian mathematician, best known for his proof of the 158-year-old Catalan's conjecture.
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Revolutions of 1848
The Revolutions of 1848, known in some countries as the Spring of Nations, People's Spring, Springtime of the Peoples, or the Year of Revolution, were a series of political upheavals throughout Europe in 1848.
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Romania
Romania (România) is a sovereign state located at the crossroads of Central, Eastern, and Southeastern Europe.
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Royal Academies for Science and the Arts of Belgium
The Royal Academies for Science and the Arts of Belgium (RASAB) is an association which promotes and organises science and the arts in Belgium by coordinating the national and international activities of its constituent academies such as the National Scientific Committees and the representation of Belgium in international scientific organisations.
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University of Liège
The University of Liège (ULiège), in Liège, Wallonia, Belgium, is a major public university in the French Community of Belgium.
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References
[1] https://en.wikipedia.org/wiki/Eugène_Charles_Catalan
