• Representation of some special functions on transcendence basisRepresentation of some special functions on transcendence basis

    2 Quasi‑shuffle algebra with the defor‑ mation q Let’s denote Y := {yk| k ∈ N+} an alphabet totally ordered by y1  y2  · · · . A word is a finite sequence of letters and Y ∗ denotes the set of all words includ‑ ing the empty word, denoted by 1Y ∗. This set is a free monoid2 and 1Y ∗ is a neutral element. We call each linear combination, ov...

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  • Một số tính chất của đồ thị có trọng ứng với đơn thức thuộc (It : m2)\(It : m)Một số tính chất của đồ thị có trọng ứng với đơn thức thuộc (It : m2)\(It : m)

    Tóm tắt. Cho I là iđêan cạnh của một đồ thị Γ. Bằng cách sử dụng khái niệm đồ thị có trọng đỉnh và các kết quả trước đó của H.M. Lam và N.V. Trung (Transactions of the American Mathematical Society, 2018) về (It : m) \ It tác giả đã đưa ra một số tính chất của đồ thị có trọng Γa ứng với đơn thức xa của hiệu (It : m2) \ (It : m). Từ khóa: Đồ thị...

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  • Molecular dynamics study of pressure effect on structure and mechanical properties of CuNi alloyMolecular dynamics study of pressure effect on structure and mechanical properties of CuNi alloy

    Abstract. The structure and mechanical properties of CuNi alloy have been investigated by means of molecular dynamic (MD) simulation. The interactions between atoms of the system were calculated by Sutton-Chen type of embedded atom method. The results show that when the sample was cooled down from 2000K to 300K at the cooling rate of 0.01 K/ps, ...

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  • First-principles investigation of structural and electronic properties of pure bismuth tungstateFirst-principles investigation of structural and electronic properties of pure bismuth tungstate

    Abstract. We investigated the crystal structure and electronic properties of Bismuth tungstate Bi2WO6 by first-principles calculation based on the Density Functional Theory. The calculated electronic density of states confirmed that Bi2WO6 possess the semiconducting properties with the band gap of 2.198 eV. The contribution of each atomic orbita...

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  • Cosine transform on time scalesCosine transform on time scales

    4. Application on solving linear difference equation In this section we consider the difference enquations of the first kind as well as the second kind. First, based on Wiener-Levy theorem [10], we have the proposition. Proposition 4.1 (Wiener-Levy’s type theorem). If f˜ is a transform Tc of function f belonging to L1(Th), φ(u) is an analytic f...

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  • Fibers of rational maps and rees algebras of their base idealsFibers of rational maps and rees algebras of their base ideals

    Besides the computation of implicit representations of parameterizations, in geometric modeling it is of vital importance to have a detailed knowledge of the geometry of the object and of the parametric representation one is working with. The question of how many times is the same point being painted (i.e., corresponds to distinct values of ...

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  • Structural characteritics of iron oxide nanoparticles synthesized by co-precipitation method in different conditionsStructural characteritics of iron oxide nanoparticles synthesized by co-precipitation method in different conditions

    Abstract. This study aimed to investigate the structural characteristics of iron oxide nanoparticles (IONPs) prepared in different conditions. IONPs were synthesized as aqueous magnetic fluids by co-precipitation of ferrous and ferric salts, then analyzed by transmission electron microscopy (TEM), X-ray diffraction (XRD), and Raman scattering sp...

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  • A study of the (ZrO2)n (n = 1 ÷ 11) clusters by density functional theoryA study of the (ZrO2)n (n = 1 ÷ 11) clusters by density functional theory

    Abstract. To reveal the origin of the (ZrO2)n (n = 1 ÷ 11) cluster stability and to study the structural trends in the zirconium oxide neutral cluster distribution, (ZrO2)n clusters have been constructed and calculated employing Density Functional Theory (DFT). In this work, we calculate the formation energy, electronic structures, stabilities a...

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  • Phase diagram of colloidal systems: A comparison of standard monte carlo simulations and virtual-Move monte carlo simulationsPhase diagram of colloidal systems: A comparison of standard monte carlo simulations and virtual-Move monte carlo simulations

    Abstract. In this work, we investigate the phase diagram of a three-dimensional Lennard-Jones (LJ) and square-well (SQW) system by means of both standard Monte Carlo simulation (SPMC) and “virtual-move” Monte Carlo simulations (VMMC). We find that the phase diagrams obtained by both SPMC and VMMC are very similar. However, there exist a few sig...

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  • Elastic deformation of alloy AuSi with FCC structure under pressureElastic deformation of alloy AuSi with FCC structure under pressure

    1. Introduction There are many theoretical and experimental works on thermodynamic and elastic properties of metals and interstitial alloys [1-27], for examples the theory of interstitial alloys [1, 2], the calculations from first principles, the many-body potentials, the molecular dynamics for defects in metals, alloys and solid solutions [3-5], t...

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