S s p s ij ij ijl ijl ij jl jl i M l j l D X D D f q β ∈ ≠ =   + − +       ∑ ∑ ∑ () () () () () () 1 1 () 1 2 4 3 2 4 3 s p s s p p iz iz iz iz ij iz zj iz ij iz zj iz ij iz zj s p S s s p p iz iz iz i z N l iz ij izl iz zj izl iz ij izl iz zj izl iz ij izl iz zj izl l w x w x w x w x w x w x T w x C w x C w x C w x C w x C w x C λ λ λ λ λ λ α () 2 1 0.5 s p s ij ij ijl ijl ij i M l j T...

Let $G$ be a strongly connected digraph with vertex set $\{v_1, v_2, \dots, v_n\}$. Denote by $D_{ij}$ the distance between vertices $v_i$ and $v_j$ in $G$. Two variant versions of matrix were proposed Yan Yeh (Adv. Appl. Math.), Bapat et al. (Linear Algebra Appl.) independently, one is $q$-distance matrix, other exponential matrix. Given nonzero indeterminate $q$, $\mathscr{D}_G=(\mathscr{D}_{...

CrystEngComm This journal is © The Royal Society of Chemistry 2015 Department of Chemistry, School of Life Sciences, University of Sussex, Brighton BN1 9QJ, UK. E-mail: [email protected] b Laboratory of Inorganic and General Chemistry, Department of Chemistry, University of Ioannina, 451 10 Ioannina, Greece. E-mail: [email protected] c Departamento de Quimica Inorganica, Universitat de Barc...

We perform a systemical investigation of the low-lying doubly-heavy dibaryon systems with strange $S=0$, isospin $I=0$, $1$, $2$ and angular momentum $J=0$, $2$, $3$ in quark delocalization color screening model. find effect channel-coupling cannot be neglected study multi-quark systems. Due to heavy flavor symmetry, results doubly-charm doubly-bottom are similar each other. Both them have thre...

This supplement contains our reworking of Neyman's calculations. It is important to note that, although our proofs may not be technically elegant, they are designed to reveal explicitly the errors of Neyman (1935). A.1 Randomized Complete Block Designs Consider N blocks and T treatments, with each block having T experimental units, and treatments randomized to experimental units independently a...

the degree kirchhoff index of a connected graph $g$ is defined as‎ ‎the sum of the terms $d_i,d_j,r_{ij}$ over all pairs of vertices‎, ‎where $d_i$ is the‎ ‎degree of the $i$-th vertex‎, ‎and $r_{ij}$ the resistance distance between the $i$-th and‎ ‎$j$-th vertex of $g$‎. ‎bounds for the degree kirchhoff index of the line and para-line‎ ‎graphs are determined‎. ‎the special case of regular grap...

The infection behavior of Steinernema carpocapsae infective juveniles (IJ) was investigated in the presence and absence of S. glaseri. Mixed inoculation of S. carpocapsae with S. glaseri IJ significantly raised the nictation rates of S. carpocapsae IJ. Significantly more S. carpocapsae IJ migrated to the host insect in the mixed inoculation with S. glaseri IJ on agar plates. More S. carpocapsae...

Rouse model is the basic molecular for unentangled linear polymer chains in melts. Recent studies suggest that parameters characterizing melts, spring strength κ , segmental friction coefficient ζ, and mean-square Brownian force intensity B, change under fast flow thereby providing significant rheological nonlinearities with those melts (Matsumiya et al., Macromolecules, 51, 9710 (2018)). This ...

let $g$ be a simple graph with an orientation $sigma$‎, ‎which ‎assigns to each edge a direction so that $g^sigma$ becomes a‎ ‎directed graph‎. ‎$g$ is said to be the underlying graph of the‎ ‎directed graph $g^sigma$‎. ‎in this paper‎, ‎we define a weighted skew‎ ‎adjacency matrix with rand'c weight‎, ‎the skew randi'c matrix ${bf‎ ‎r_s}(g^sigma)$‎, ‎of $g^sigma$ as the real skew symmetric mat...