catalan's numbers

  • 1Catalan's conjecture — (occasionally now referred to as 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. 23 and 32 are two powers of natural numbers,… …

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  • 2Catalan nationalism — Catalan nationalism, or Catalanism (from Catalanisme in Catalan), is a political movement advocating for either further political autonomy or full independence of Catalonia.Intellectually, Catalanism departs from the unsuccessful attempts to… …

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  • 3Catalan Bay — ( es. La Caleta) is a small bay and fishing village on the eastern side of Gibraltar, on the far side of the Rock from the main city.EtymologyThe true origin of the name of Catalan Bay is unknown, but a couple of theories exist. The first… …

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  • 4Catalan number — For names of numbers in Catalan, see List of numbers in various languages#Occitano Romance. In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems, often involving recursively… …

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  • 5Catalan people — ethnic group group=Catalans caption = Salvador Dalí·Pau Casals·Antoni Gaudí·Jacint Verdaguer population = Over 7 million region1 = flag|Spain pop1 = 7,210,508 ref1 = lower| [http://www.idescat.cat/cat/idescat/publicacions/anuari/aec pdf/aec… …

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  • 6Catalan-Zahl — Eugène Charles Catalan Die Catalan Zahlen oder catalanschen Zahlen bilden eine Folge natürlicher Zahlen, die in vielen Problemen der Kombinatorik auftritt und eine ähnlich wichtige Rolle wie die Binomialkoeffizienten oder die Fibonacci Zahlen… …

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  • 7Catalan's constant — In mathematics, Catalan s constant G , which occasionally appears in estimates in combinatorics, is defined by:G = eta(2) = sum {n=0}^{infty} frac{( 1)^{n{(2n+1)^2} = frac{1}{1^2} frac{1}{3^2} + frac{1}{5^2} frac{1}{7^2} + cdotswhere β is the… …

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  • 8Catalan personal pronouns — This article discusses the forms and functions of the personal pronouns in Catalan grammar. Contents 1 Strong pronouns 2 Weak pronouns 2.1 Forms 2.2 Uses …

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  • 9Catalan Parliament election, 2006 — Infobox Election election name = Catalan Parliament election, 2006 country = Catalonia type = parliamentary ongoing = no party colour = no previous election = Catalan Parliament election, 2003 previous year = 2003 next election = Catalan… …

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  • 10Catalan's problem — In mathematics, Catalan s problem asks the number of ways n factors can be completely parenthesized by n − 1 pairs of parentheses. For example, the following are the 14 ways that 5 factors can be parenthesized:* (1 (2 (3 (4 5)))) * (1 (2 ((3 4)… …

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