Results 61 to 70 of about 18,619 (166)

Catalan-like Numbers and Determinants

Journal of Combinatorial Theory, Series A, 1999
The Catalan numbers play a central role in enumerations. They can be defined by recursion but also via so-called Hankel matrices. The Motzkin numbers are defined by a very similar recursion, and Aigner also found a description using Hankel matrices. Both types of numbers are involved in several classical formulae with binomial coefficients (and with ...
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Tableau Cycling and Catalan Numbers

, 2007
We develop two combinatorial proofs of the fact that certain Young tableaux are counted by the Catalan numbers. The setting is a larger class of tableaux where labels increase along rows without attention to whether labels increase down columns. We define a new operation called tableau cycling. It is used to duplicate the reflection argument attributed
Buontempo, Jenny, Hopkins, Brian
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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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CATALAN NUMBERS MODULO A PRIME POWER

, 2014
See the abstract in the attached ...
Chen, Yong-Gao, Jiang, Wen
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Limiting the Number of Possible CFG Derivative Trees During Grammar Induction with Catalan Numbers

Mathematics
Grammar induction runs into a serious problem due to the exponential growth of the number of possible derivation trees as sentence length increases, which makes unsupervised parsing both computationally demanding and highly indeterminate.
Aybeyan Selim, Muzafer Saracevic, Arsim Susuri   +2 more
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Reflexions entorn de la política catalana de foment de l'oferta cinematogràfica en llengua catalana

Revista de Llengua i Dret - Journal of Language and Law, 2005
This article takes stock of legal and economic assessments that have been made of twenty years of policies of support for Catalan cinema (cultural policy) and for cinema in Catalan (language policy).
Carlos Padrós Reig, Jordi López-Sintas
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Proofs of two conjectures involving sums of normalized Narayana numbers

Demonstratio Mathematica
Narayana numbers are well-known and have many applications in the field of combinatorics. The Narayana numbers form a triangular array, where the sum of the nth row is the nth Catalan number.
Goldman Ron, Simeonov Plamen, Zafiris Vasilis   +2 more
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Remarks on Catalan and super-Catalan numbers [PDF]

Banach Center Publications, 2011
Anna Dorota Krystek, Łukasz Jan Wojakowski   +1 more
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Forced perimeter in Elnitksy polygons [PDF]

Enumerative Combinatorics and Applications, 2020
Bridget Eileen Tenner
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Some clarifications on several aspects of the history of Jews in Medieval Catalonia

Catalan Historical Review, 2009
The settling of Jews in the Catalan Countries is prior to the year 1000. In the 12th and 13th centuries many Jews acted as administrators and financiers at the service of the Catalan kings, as well as emissaries to the Moslem governments.
Eduard Feliu
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