Results 21 to 30 of about 112,655 (271)

Holonomic equations and efficient random generation of binary trees [PDF]

Discrete Mathematics & Theoretical Computer Science
Holonomic equations are recursive equations which allow computing efficiently numbers of combinatoric objects. Rémy showed that the holonomic equation associated with binary trees yields an efficient linear random generator of binary trees.
Pierre Lescanne
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IDEAS AND PROJECTS IN THE FIELD OF ARCHITECTURE AND URBANISM FROM THE MATERIALS OF THE CATALAN PERIODICALS OF THE SECOND REPUBLIC [PDF]

Латиноамериканский исторический альманах, 2021
Catalan architects who were members of the G.A.T.C.P.A.C. associa-tion and the Association of Architects of Catalonia (SAC) were con-cerned about social, demographic and sanitary issues.
Nataliya Kuzina
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The NADPH oxidase NOX4 regulates redox and metabolic homeostasis preventing HCC progression

Hepatology, EarlyView., 2022
Loss of NOX4 in HCC tumor cells induces metabolic reprogramming in a Nrf2/MYC‐dependent manner to promote HCC progression. Abstract Background and Aims The NADPH oxidase NOX4 plays a tumor‐suppressor function in HCC. Silencing NOX4 confers higher proliferative and migratory capacity to HCC cells and increases their in vivo tumorigenic potential in ...
Irene Peñuelas‐Haro, Rut Espinosa‐Sotelo, Eva Crosas‐Molist, Macarena Herranz‐Itúrbide, Daniel Caballero‐Díaz, Ania Alay, Xavier Solé, Emilio Ramos, Teresa Serrano, María L. Martínez‐Chantar, Ulla G. Knaus, José M. Cuezva, Antonio Zorzano, Esther Bertran, Isabel Fabregat   +14 more
wiley   +1 more source

Series associated with harmonic numbers, Fibonacci numbers and central binomial coefficients $binom{2n}{n}$ [PDF]

Notes on Number Theory and Discrete Mathematics
We find various series that involve the central binomial coefficients $binom{2n}{n}$, harmonic numbers and Fibonacci numbers. Contrary to the traditional hypergeometric function _pF_q approach, our method utilizes a straightforward transformation to ...
Segun Olofin Akerele, Olamide Esther Salami   +1 more
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Alternating Convolutions of Catalan Numbers [PDF]

Bulletin of the Brazilian Mathematical Society, New Series, 2021
A new class of alternating convolutions concerning binomial coefficients and Catalan numbers are evaluated in closed forms.
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Integral Representations of the Catalan Numbers and Their Applications

Mathematics, 2017
In the paper, the authors survey integral representations of the Catalan numbers and the Catalan–Qi function, discuss equivalent relations between these integral representations, supply alternative and new proofs of several integral representations ...
Feng Qi, Bai-Ni Guo
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Simplifying coefficients in differential equations for generating function of Catalan numbers

Journal of Taibah University for Science, 2019
In the paper, by the Faà di Bruno formula, several identities for the Bell polynomials of the second kind, and an inversion theorem, the authors simplify coefficients in two families of nonlinear ordinary differential equations for the generating ...
Feng Qi, Yong-Hong Yao
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On a new congruence in the Catalan triangle [PDF]

Notes on Number Theory and Discrete Mathematics
For 0≤k≤n, the number C(n,k) represents the number of all lattice paths in the plane from the point (0,0) to the point (n,k), using steps (1,0) and (0,1), that never rise above the main diagonal y = x.
Jovan Mikić
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On the $H$-triangle of generalised nonnesting partitions [PDF]

Discrete Mathematics & Theoretical Computer Science, 2014
With a crystallographic root system $\Phi$ , there are associated two Catalan objects, the set of nonnesting partitions $NN(\Phi)$, and the cluster complex $\Delta (\Phi)$. These possess a number of enumerative coincidences, many of which are captured in
Marko Thiel
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Chromatic statistics for Catalan and Fuß-Catalan numbers

Electronic Journal of Combinatorics, 2011
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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