Results 21 to 30 of about 14,208 (257)
Eulerian-Catalan Numbers [PDF]
We show that the Eulerian-Catalan numbers enumerate Dyck permutations. We provide two proofs for this fact, the first using the geometry of alcoved polytopes and the second a direct combinatorial proof via an Eulerian-Catalan analogue of the Chung-Feller theorem.
Hoda Bidkhori, Seth Sullivant
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The short period from November 1918 to January 1919 marked a very distinct episode in the history of Catalan nationalism and in the history of Barcelona.
Florian Grafl
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Chromatic statistics for Catalan and Fuß-Catalan numbers
We refine Catalan numbers and Fuß-Catalan numbers by introducing colour statistics for triangulations of polygons and $d$-dimensional generalisations there-of which we call Fuß-Catalan complexes. Our refinements consist in showing that the number of triangulations, respectively Fuß-Catalan complexes, with a given colour distribution of its vertices is ...
Bacher, Roland, Krattenthaler, Christian
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Catalan pairs: A relational-theoretic approach to Catalan numbers
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Filippo Disanto +3 more
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During the first half of the 20th century, the connections of inland Catalanism with the 'Catalans of America', the sector of emigrants and exiles that followed its precepts on American soil, experienced great growth.
Marcela Lucci
doaj
AbstractWe develop an arithmetic triangle similar to Pascal's triangle. The entries are interpreted in terms of numbers of pairs of nonintersecting paths in the first quadrant. The main applications are results about the Catalan numbers and various random walk problems.
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The Jocs Florals in Contemporary Catalan Literature [PDF]
In 1859, the very same stimulus that drove the ambition to create Barcelona’s Eixample (“enlargement”) design by urban planner Cerdà served to “restore” the Jocs Florals in Barcelona, a symbolic complement which quite calculatedly evoked powerful ...
Josep M. Domingo
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17 pages; submitted to the Journal of Combinatorial Theory - Series ...
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AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
wiley +1 more source
Catalan is a “medium-sized” Romance language spoken by over 10 million speakers, spread over four nation states: Northeastern Spain, Andorra, Southern France, and the city of L’Alguer (Alghero) in Sardinia, Italy. Catalan is divided into two primary dialectal divisions, each with further subvarieties: Western Catalan (Western Catalonia, Eastern Aragon,
Lloret, Maria-Rosa +1 more
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