The κ-deformedD = 4 Poincaré superalgebra written in Hopf superalgebra form is transformed to the basis with classical Lorentz subalgebra generators. We show that in such a basis the κ-deformed D = 4 Poincaré superalgebra can be written as graded bicrossproduct. We show that the κ-deformed D = 4 superalgebra acts covariantly on κ-deformed chiral superspace. Institute of Physics, University of L...

In this paper we focus on attraction-repulsion chemotaxis model with consumed signals $\begin{equation}\label{problem_abstract}\tag{$\Diamond$}\begin{cases}u_t = \Delta u - \chi \nabla \cdot (u v)+\xi w) & \text{ in }~~ \Omega \times (0, T_{max}), \\v_t v- uv \\w_t w- uw \end{cases}\end{equation}$ formulated a bounded and smooth domain $ of {\mathbb R}^n $, n\geq 2 for some positive real nu...

We investigated sex-related photosynthetic responses to drought in the dioecious species, Populus cathayana Rehd. Plants were subjected to two watering regimes (100% and 30% of field capacity) in a semi-controlled environment. Drought significantly decreased leaf area (LA), total number of leaves (TNL), specific leaf area (SLA), relative water content, net photosynthetic rate (P(n)), transpirat...

This study uses a computer model to simulate a quadrupole mass filter (QMF) instrument under different operating conditions for Mathieu stability zones 1 and 3. The investigation considers the factors that limit the maximum resolution (R(max)), which can be obtained for a given QMF for a particular value of scan line. Previously, QMF resolution (R) has been found to be dependent on number (N) o...

The MAX-LABEL-COVER(K,L) Problem: An instance to the MAX-LABEL-COVER(K,L) problem comprises of a bipartite graph G(U, V, E) with U and V being the two partitions, and a projection function πv→u : L → K on each edge (u, v). The objective is to obtain a labeling of the vertices (a function f : U → K, V → L) which satisfies maximum fraction of the edges. Edge (u, v) is satisfied by labeling f if a...

We consider functions f v = min A∈K Av and gv = max A∈K Av, where K is a finite set of nonnegative matrices and by " min " and " max " we mean coordinate-wise minimum and maximum. We transfer known results about properties of g to f. In particular we show existence of nonnegative generalized eigenvectors for f , give necessary and sufficient conditions for existence of strictly positive eigenve...

Given a graph G = (V,E) and k source-sink pairs {(s1, t1), . . . , (sk, tk)} with each si, ti ∈ V , the Min-Sum Disjoint Paths problem asks to find k disjoint paths connecting all the source-sink pairs with minimized total length, while the Min-Max Disjoint Paths problem asks for k disjoint paths connecting all the sourcesink pairs with minimized length of the longest path. We show that the wei...

GivenagraphG = (V,E) andk source-sinkpairs{(s1, t1), . . . , (sk, tk)} with each si, ti ∈ V , the Min-Sum Disjoint Paths problem asks k disjoint paths to connect all the source-sink pairs with minimized total length, while the Min-Max Disjoint Paths problem asks also k disjoint paths to connect all source-sink pairs but with minimized length of the longest path. In this paper we show that the w...

The major C(18) cutin monomers are 18-hydroxy-9,10-epoxystearic and 9,10,18-trihydroxystearic acids. These compounds are also known messengers in plant-pathogen interactions. We have previously shown that their common precursor 9,10-epoxystearic acid was formed by the epoxidation of oleic acid in Vicia sativa microsomes (Pinot, Salaün, Bosch, Lesot, Mioskowski and Durst (1992) Biochem. Biophys....