The accurate prediction of physicochemical properties chemical compounds in mixtures (such as the activity coefficient at infinite dilution $\gamma_{ij}^\infty$) is essential for developing novel and more sustainable processes. In this work, we analyze performance previously-proposed GNN-based models $\gamma_{ij}^\infty$, compare them with several mechanistic a series 9 isothermal studies. More...

Given finite sets P and T of points in the Euclidean space R, the point pattern matching problem studied in this paper is to find all translations f ∈ R such that P + f ⊆ T . A fast search algorithm with some variants is presented for point patterns P that have regular grid–like geometric shape. The algorithm is analogous to the Knuth–Morris–Pratt algorithm of string matching. The time requirem...

With the discovery of some hidden-charm pentaquark resonances by LHCb Collaboration, investigations states containing heavy quarks have aroused interest theorists. We study herein $qqq\bar{q}Q$ ($q = u$ or $d$, $Q=c$ $b$) system, in framework chiral quark model. In consequence, charmed and bottomed pentaquarks are considered to exist five-body dynamical calculations. charm sector, $\Sigma_c\pi(...

We single out the polygonal paths of order that solve each of the 1 odd n  2 odd n       different longest non-cyclic Euclidean Hamiltonian path problems in      iπ e 1 , odd n n n ij n n K d     networks by an arithmetic algorithm. As by product, the procedure determines the winding index of cyclic Hamiltonian polygonals on the vertices of a regular polygon.

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}_{...

Regular expressions have been studied for nearly 50 years, yet many intriguing problems about their descriptive capabilities remain open. In this paper we sketch some new results and discuss what remains to be solved.

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...

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...

We conduct a dynamical calculation of pentaquark systems with quark contents $sssu\bar{u}$ in the framework two models: chiral model(ChQM) and delocalization color screening model(QDCSM). The effective potentials between baryon meson clusters are given, possible bound states also investigated. Besides, study scattering process open channels is performed to look for any resonance state. results ...