Results 21 to 30 of about 408,570 (286)
Human Mutation, Volume 43, Issue 12, Page 1921-1944, December 2022., 2022 Abstract Skipping of BRCA2 exon 3 (∆E3) is a naturally occurring splicing event, complicating clinical classification of variants that may alter ∆E3 expression. This study used multiple evidence types to assess pathogenicity of 85 variants in/near BRCA2 exon 3.
Mads Thomassen +49 more
wiley +1 more source
Holonomic equations and efficient random generation of binary trees [PDF]
Discrete Mathematics & Theoretical Computer ScienceHolonomic 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
doaj +1 more source
Growing and Destroying Catalan-Stanley Trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 Stanley lists the class of Dyck paths where all returns to the axis are of odd length as one of the many objects enumerated by (shifted) Catalan numbers.
Benjamin Hackl, Helmut Prodinger
doaj +1 more source
Cage‐size effects on the encapsulation of P2 by fullerenes
Journal of Computational Chemistry, Volume 44, Issue 3, Page 268-277, January 30, 2023., 2023 Strategies to stabilize P2 avoiding its own dimerization involve transition metals and Lewis bases. Here, we show that the judicious selection of a fullerene size yields a stable endohedral with an intact triple bond. The thermodynamic, geometrical, and interaction consequences are discussed in light of DFT calculations.
Enric Sabater +3 more
wiley +1 more source
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
doaj +1 more source
The Problem of Separatism in Modern Spain: the Catalan Question
Проблемы постсоветского пространства, 2022 Catalan nationalism, rooted in the 19th century, transformed into separatism in the 1980s, threatening the existence of the Spanish state. The unstable political situation in the country caused by the crisis of the party system and serious economic ...
S. M. Gavrilova
doaj +1 more source
Limnology and Oceanography, Volume 67, Issue 12, Page 2621-2634, December 2022., 2022 Abstract Headwater streams are control points for carbon dioxide (CO2) emissions to the atmosphere, with relative contributions to CO2 emission fluxes from lateral groundwater inputs widely assumed to overwhelm those from in‐stream metabolic processes.
Susana Bernal +5 more
wiley +1 more source
Logarithmically complete monotonicity of a function related to the Catalan-Qi function
Acta Universitatis Sapientiae: Mathematica, 2016 In the paper, the authors find necessary and sufficient conditions such that a function related to the Catalan-Qi function, which is an alternative generalization of the Catalan numbers, is logarithmically complete monotonic.
Qi Feng, Guo Bai -Ni
doaj +1 more source
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
doaj +1 more source
A Unified Generalization of the Catalan, Fuss, and Fuss–Catalan Numbers
Mathematical and Computational Applications, 2019 In the paper, the authors introduce a unified generalization of the Catalan numbers, the Fuss numbers, the Fuss−Catalan numbers, and the Catalan−Qi function, and discover some properties of the unified generalization, including a product ...
Feng Qi, Xiao-Ting Shi, Pietro Cerone
doaj +1 more source