Results 41 to 50 of about 1,269,170 (176)
The catalan premium: language and employment in Catalonia [PDF]
, 2003 This paper measures the contribution of knowing Catalan to finding a job in Catalonia. In the early eighties a drastic language policy change (normalització) promoted the learning and use of Catalan and managed to reverse the falling trend of its ...
Rendón, Silvio
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On powers of the Catalan number sequence [PDF]
Discrete Mathematics, 2019 The Catalan number sequence is one of the most famous number sequences in combinatorics and is well studied in the literature. In this paper we further investigate its fundamental properties related to the moment problem and prove for the first time that it is an infinitely divisible Stieltjes moment sequence in the sense of S.-G. Tyan.
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On generalised catalan numbers
Discrete Mathematics, 1978 AbstractThe Catalan number Cn is defined to be 2nn(n+1). One of its occurrences is as the number of ways of bracketing a product of n+1 terms taken from a set with binary operation. In this note the corresponding result for a set with a k-ary operation is considered.
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Volterra Chain and Catalan Numbers [PDF]
JETP Letters, 2018 4 pages, 2 ...
Adler, V. E., Shabat, A. B.
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Catalan numbers, q-Catalan numbers and hypergeometric series
Journal of Combinatorial Theory, Series A, 1987 The author derives a new \(q\)-analog of the Catalan numbers: \[ {\mathcal C}_ n(\lambda,q)=q^{2n}\prod \frac{1+\lambda q^{2i-3}}{1-q^{2i}},\quad 1\leq i\leq n. \] The usual Catalan numbers are given by \({\mathcal C}_ n={\mathcal C}_ n(-1,1)\). In addition to this representation as a rational function in \(q\), Andrews' \(q\)-Catalan numbers have a ...
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One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers
Annales Mathematicae Silesianae, 2023 In this paper, we introduce one-parameter generalization of dual-hyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover,
Bród Dorota +2 more
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, 2019 [ENG] In Catalonia over a long period of time, between the xth century and 1878, some installations were developed, which at first were called «factories» and «fargues», since they manufactured iron and steel of low carbon content of excellent quality ...
Molera i Solà, Pere
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Catalan Numbers for the Classroom?
Elemente der Mathematik, 1997 The author describes the experiences with 13-14 years old pupils in a project on Catalan numbers. She asserts that solving simple combinatorial problems plays an important role in developing thought processes, and should be practised throughout secondary school.
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Closed form evaluations of some series involving Catalan numbers [PDF]
, 2014 Closed form evaluations of some infinite series comprising sums of exponentiated multiples of Catalan numbers are yielded by a known expansion of the trigonometric function sin(2α), and then re-formulated independently as ...
Larcombe, Peter J.
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The Relation of Tribinomial Coefficients with Triangular, Catalan and Mersenne Number
Science and Technology IndonesiaNumbers are inseparable from mathematics. Each of these types of numbers has its own distinct definition and properties. Numbers are not only used in mathematics, but are also essential in other fields such as philosophy, technology, and science ...
Wamiliana, Desiana Putri, Notiragayu
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