Maximal cocliques and the chromatic number of the Kneser graph on chambers of PG(3,q) $(3,q)$
Journal of Combinatorial Designs, Volume 32, Issue 7, Page 388-409, July 2024.Abstract Let Γ ${\rm{\Gamma }}$ be the graph whose vertices are the chambers of the finite projective 3‐space PG(3,q) $\text{PG}(3,q)$, with two vertices being adjacent if and only if the corresponding chambers are in general position. We show that a maximal independent set of vertices of Γ ${\rm{\Gamma }}$ contains q4+3q3+4q2+3q+1 ${q}^{4}+3{q}^{3}+4 ...
Philipp Heering, Klaus Metsch
wiley +1 more source
CCG contextual labels in hierarchical phrase-based SMT [PDF]
, 2011 In this paper, we present a method to employ target-side syntactic contextual information in a Hierarchical Phrase-Based system. Our method uses Combinatory Categorial Grammar (CCG) to annotate training data with labels that represent the left and right ...
Almaghout, Hala, Jiang, Jie, Way, Andy
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Summing Sneddon–Bessel series explicitly
Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 6590-6606, 15 May 2024.We sum in a closed form the Sneddon–Bessel series ∑m=1∞Jα(xjm,ν)Jβ(yjm,ν)jm,ν2n+α+β−2ν+2Jν+1(jm,ν)2,$$ \sum \limits_{m=1}^{\infty}\frac{J_{\alpha}\left(x{j}_{m,\nu}\right){J}_{\beta}\left(y{j}_{m,\nu}\right)}{j_{m,\nu}^{2n+\alpha +\beta -2\nu +2}{J}_{\nu +1}{\left({j}_ ...
Antonio J. Durán +2 more
wiley +1 more source
Normothermic Ex Situ Machine Perfusion of Vascularized Composite Allografts with Oxygen Microcarriers for 12 Hours Using Real-Time Mitochondrial Redox Quantification. [PDF]
J Clin Med, 2023 Haug V +8 more
europepmc +1 more source
Microporous Polylactic Acid Scaffolds Enable Fluorescence-Based Perfusion Imaging of Intrinsic In Vivo Vascularization. [PDF]
Int J Mol Sci, 2023 Koepple C +6 more
europepmc +1 more source
Estimates for the dilatation of $\sigma$-harmonic mappings
, 2014 We consider planar $\sigma$-harmonic mappings, that is mappings $U$ whose components $u^1$ and $u^2$ solve a divergence structure elliptic equation ${\rm div} (\sigma \nabla u^i)=0$, for $i=1,2$.
Alessandrini, Giovanni, Nesi, Vincenzo
core
Kneser's property of solution families of non-linear Volterra integral equations
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1974 Consider a system of nonlinear integral equations of Volterra-type (P) x(t) f(t)+[o g(t, s, x(s))ds. Recently R. K. Miller and G. R. Sell [1] proved some fundamental theorems of (P) under airly general assumptions on f(t) and g(t, s, x) similaro the Carathodory-ype.
Nakagiri, Shin-ichi, Murakami, Haruo
openaire +2 more sources
Acellular Human Placenta Small-Diameter Vessels as a Favorable Source of Super-Microsurgical Vascular Replacements: A Proof of Concept. [PDF]
Bioengineering (Basel), 2023 Falkner F +13 more
europepmc +1 more source
Asymptotic properties of Kneser type solutions for third order half-linear neutral difference equations [PDF]
Miskolc Mathematical Notes, 2021 Srinivasan, R. +3 more
openaire +2 more sources
Effective or Harmful-Evaluation of Locally Applied Antibiotics on Adipose Tissue during Lipofilling to the Breast-An In Vitro Study. [PDF]
Int J Mol Sci, 2023 Diehm YF +7 more
europepmc +1 more source