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Theorem 3.1. With the above notations, then we have the following assertions (1) If G is the empty set, then a2(R/I) = 0. (2) If G is a union of disjoint edges, then a2(R/I) = 1. (3) If G does not contain any triangles and G has at least two distinct edges which have a common vertex, then a2(R/I) = 2. (4) If G contains at least a triangle, the...
6 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 373 | Lượt tải: 0
Abstract: In this paper, we propose and discuss numerical algorithms for solving a class of nonlinear differential-algebraic equations (DAEs). These algorithms are based on half-explicit Runge-Kutta methods (HERK) that have been studied recently for solving strangeness-free DAEs. The main idea of this work is to use the half-explicit variants of...
16 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 463 | Lượt tải: 0
LSIDEs is generalization of linear stochastic difference equations, which have been well investigated in the literature, see [1-4]. They arise as mathematical models in various fields such as population dynamics, economics, electronic circuit systems or multibody mechanism systems with random noise (see, e.g. [5-8]. They can also be obtained fro...
8 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 415 | Lượt tải: 0
Abstract: In this paper, we present the results of the study of the effect of residual La on crystal structure, magnetic properties of La1+Fe11.05Si1.95 ( = 0.00; 0.03; 0.06 and 0.09) compounds. The analysis of X-ray diffractions showed that when the La content increases to 9%, the structure still remains cubic in a typical NaZn13 arrangement ...
6 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 359 | Lượt tải: 0
Abstract: This paper addresses the problem of ℋ∞ finite-time boundedness for discrete-time neural networks with interval-like time-varying delays. First, a delay-dependent finite-time boundedness criterion under the finite-time ℋ ∞ performance index for the system is given based on constructing a set of adjusted Lyapunov–Krasovskii functionals ...
14 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 380 | Lượt tải: 0
Abstract: In this work, we investigate the defect structure of silicene with a vancacy and the adsorption mechanism of isopropanol on the surface of defected silicene by employing the Density Functional Theory method. The adsorption profile was determined based on the van der Waals functional optPBE-vdW, and the charge transfer between isopropan...
8 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 487 | Lượt tải: 0
Abstract: Calculation of gravity anomaly caused by an uneven layer is essential for quantitative interpretation. By comparing calculated anomalies with observed anomalies, we may infer some parameters of subsurface structures. There are many different methods for computing gravity effect of an uneven layer. This paper presents a comparative stud...
9 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 471 | Lượt tải: 0
Abstract. Titanium dioxide (TiO2) coated on multi-walled carbon nanotubes (CNTs) was synthesized with CNTs and TiO2 using the grinded method. The XRS spectra include that of the obtained single-phase anatase sample. The UV-Vis diffuse reflectance spectra show that the composite material can absorb at a higher wavelength and the absorption covers...
6 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 397 | Lượt tải: 0
Abstract. This work presents a molecular dynamics simulation (MDS) of CaSiO3 glass using Born–Mayer–Huggins potentials. The structural organization and structural phase transition under compression as well as network structure of CaSiO3 are clarified through analysis and visualization of molecular dynamics simulation data. The short-range order ...
11 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 440 | Lượt tải: 0
Abstract. In this paper, we investigate the existence and uniqueness of fuzzy solution for a class of general hyperbolic equations with state-dependent delays. We will prove the well-posedness of problem doesn’t depend on the domain and boundary data as well as initial data. Our method is based on Banach fixed point theorem in completely new we...
16 trang | Chia sẻ: thanhle95 | Ngày: 14/07/2021 | Lượt xem: 425 | Lượt tải: 0