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Complement of the reduced non-zero component graph of free semimodules

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Applied Mathematics(A Journal of Chinese Universities) 2023年第1期38卷 1-15页

作者： t.tamizh Chelvam k.Prabha Ananthi Department of Mathematics Manonmaniam Sundaranar UniversityTirunelveli 627012Tamil NaduIndia

Let M be a finitely generated free semimodule over a semiring S with identity having invariant basis number property with a basisα={α1,...,αk}.the complement■of the reduced non-zero component graph■of M,is the simple undirected graph with■as the vertex set and such that there is an edge between two distinct vertices■and■if and only if there exists no i such that both ai,biare *** this paper,we show that the graph■is connected and find its domination number,clique number and chromatic *** the case of finite semirings,we determine the degree of each vertex,order,size,vertex connectivity and girth of■.Also,we give a necessary and sufficient condition for■to be Eulerian or Hamiltonian or planar.

关键词： semiring modules planar

Precise integration methods based on the Chebyshev polynomial of the first.k.nd

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Earthquake Engineering and Engineering Vibration 2008年第2期7卷 207-216页

作者： Wang Mengfu F. t. k. Au Department of Civil Engineering Hunan University Changsha 410082 China Department of Civil Engineering The University of Hong Kong China

this paper introduces two new types of precise integration methods based on Chebyshev polynomial of the first.k.nd for dynamic response analysis of structures, namely the integral formula method （IFM） and the homogenized initial system method （HISM）. In both methods, nonlinear variable loadings within time intervals are simulated using Chebyshev polynomials of the first.k.nd before a direct integration is performed. Developed on the basis of the integral formula, the recurrence relationship of the integral computation suggested in this paper is combined with the Crout decomposed method to solve linear algebraic equations. In this way, the IFM based on Chebyshev polynomial of the first.k.nd is constructed. transforming the non-homogenous initial system to the homogeneous dynamic system, and developing a special scheme without dimensional expansion, the HISM based on Chebyshev polynomial of the first.k.nd is able to avoid the matrix inversion operation. the accuracy of the time integration schemes is examined and compared with other commonly used schemes, and it is shown that a greater accuracy as well as less time consuming can be achieved. two numerical examples are presented to demonstrate the applicability of these new methods.

关键词： structural dynamics Chebyshev polynomial of the first.k.nd the Crout decomposed method integral formula method homogenized initial system method

Optimization of Nonlinear Vibration Characteristics for Seismic Isolation Rubber

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Computer Modeling in Engineering & Sciences 2017年第1期113卷 1-15页

作者： A.t.k.hashi t.Shibata k.Motoyama k.Misaji Nihon University College of Industrial TechnologyDept.of Mathematical Information EngineeringJapan. Mississippi State University U.S.A.

A method for reducing the damage to a structure caused by an earthquake namely,using laminated rubber for seismic isolation is proposed,and the vibration characteristics of the rubber(which minimizes the seismic response of the structure during an earthquake)is optimized.A method called“Equivalent Linear System using Restoring Force Model of Power Function type”(PFt-ELS)is applied to nonlinear vibration analysis of the *** that analysis,a building with 15 layers of the laminated rubber is *** seismic response of the building is analyzed,and the usefulness of the laminated rubber is demonstrated by comparing the seismic responses in the cases with and without the laminated *** addition,the hysteresis restoring-force characteristic of the laminated rubber,which minimizes the seismic response of the building,was optimized by using a genetic algorithm(GA).Based on these results,the optimum restoring-force characteristic for different earthquakes was *** a result,it was clarified that the developed optimization method can determine the vibration characteristics of the laminated rubber for minimizing the damage to the structure in the design phase.

关键词： Seismic-isolation laminated rubber high-rise-building structure PFt-ELS seismic-response analysis long-period earthquake

Phytochemical profiling of Artocarpus lakoocha Roxb. leaf methanol extract and its antioxidant, antimicrobial and antioxidative activities

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Asian Pacific Journal of tropical Biomedicine 2019年第11期9卷 484-492页

作者： Ekta Bhattacharya Rajashree Dutta Swati Chakraborty Suparna mandal Biswas Agricultural and Ecological Research Unit Indian Statistical Institute203B.T.RoadKolkata 700108India Guru Nanak Institute of Pharmaceutical Science&technology Panihati Kolkata 700114India

Objective:to explore the phytochemical profile of Artocarpus lakoocha *** both qualitatively and quantitatively,and validate its role as a potent antioxidant and antimicrobial ***:Extraction and isolation of different compounds were done from the leaves of Artocarpus lakoocha based on solvent fractionation ***,quantitative and qualitative phytochemical profiling along with antioxidant,antimicrobial and antioxidative activities were tested following standard ***:Among the five fractions,methanol fraction of Artocarpus lakoocha exhibited higher content of phytochemical compounds[phenols=(3175.21±290.43)mg GAE/g dry extract,flavonoids=(1173.15±47.52)mg QE/g dry extract and tannins=(923.53±95.21)mg tAE/g dry extract]as compared to other *** methanol fraction showed the highest antioxidant activity in DPPH and ABtS radical scavenging assays with IC50 of(111.98±34.20)μg/mL and(138.26±0.66)μg/mL,respectively,and the best reduction potential with a value of(316.81±2.96)mg QE/g dry extract in reducing power *** was significant correlation between the amount of phytochemicals and antioxidant ***,the extract successfully protected Lambda phage DNA from damage at 5 and 6 mg/mL concentration and exhibited substantial bactericidal as well as fungicidal *** GC-MS analysis of methanol fraction of Artocarpus lakoocha revealed diethyl phthalate as the main phytochemical compound,along with 3,4-dihydroxymandelic acid,9-octyl eicosane and 7,8-didehydro-3-methoxy-17-methyl-6-methylene ***:the methanol fraction of Artocarpus lakoocha could be used as a potent antioxidant and antimicrobial agent for sustainable agriculture and pharmaceutical purposes.

关键词： Moraceae Bioactive compounds Natural pharmaceuticals Diethyl phthalate

Derivation of a 1/r^2 potential term for Q in a potential model

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Chinese Physics C 2010年第9期34卷 1482-1484页

作者： t.Matsuki 刘翔 t.Morii k.Seo t.k.o kasei University School of Physical Science and technology Lanzhou University Graduate School of Human Development and Environment Kobe University Gifu City Women's College

We clarify the difference among potential models so far proposed to explain mass spectra of heavylight mesons via transformations of the *** our idea to QQ quarkonium,we obtain the extra term,1/r ^2 with positive coef... 详细信息

关键词： heavy quark effective theory spectroscopy symmetry

Electronic Structure of Helium Atom in a Quantum Dot

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Communications in theoretical Physics 2016年第3期65卷 347-353页

作者： Jayanta k.Saha S.Bhattacharyya t.k.Mukherjee Indian Association for the Cultivation of Science Jadavpur Kolkata 700032 India Aliah University IIA/27 New Town Kolkata 700156 India Acharyya Prafulla Chandra College New Barrackpore Kolkata 700131 India Narula Institute of technology Agarpara Kolkata 700109 India

Bound and resonance states of helium atom have been investigated inside a quantum dot by using explicitly correlated Hylleraas type basis set within the framework of stabilization *** be specific,precise energy eigenvalues of bound 1sns(~1S^e)(n=1-6)states and the resonance parameters *** and widths of^lS^e states due to 2sns(n=2-5)and 2pnp(n=2-5)configurations of confined helium below N=2 ionization threshold of He^+have been *** two-parameter(Depth and Width)finite oscillator potential is used to represent the confining potential due to the quantum *** has been explicitly demonstrated that the electronic structural properties become sensitive functions of the dot *** is observed from the calculations of ionization potential that the stability of an impurity ion within a quantum dot may be manipulated by varying the confinement parameters.A possibility of controlling the autoionization lifetime of doubly excited states of two-electron ions by tuning the width of the quantum cavity is also discussed here.

关键词： helium atom variational method quantum dot correlation

Stabilization of a high-order harmonic generation seeded extreme ultraviolet free electron laser by time-synchronization control with electro-optic sampling

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High Power Laser Science and Engineering 2015年第2期3卷 1-10页

作者： H.tomizawa t.Sato k.Ogawa k.togawa t.tanaka t.Hara M.Yabashi H.tanaka t.Ishikawa t.togashi S.Matsubara Y.Okayasu t.Watanabe E.J.t.k.hashi k.Midorikawa M.Aoyama k.Yamakawa S.Owada A.Iwasaki k.Yamanouchi RIkEN SPring-8 Center Japan Synchrotron Radiation Research Institute RIkEN Center for Advanced Photonics Japan Atomic Energy Agency the University of t.k.o

A fully coherent free electron laser(FEL) seeded with a higher-order harmonic(HH) pulse from high-order harmonic generation(HHG) is successfully operated for a sufficiently prolonged time in pilot user experiments by using a timing drift feedback. For HHG-seeded FELs, the seeding laser pulses have to be synchronized with electron bunches. Despite seeded FELs being non-chaotic light sources in principle, external laser-seeded FELs are often unstable in practice because of a timing jitter and a drift between the seeding laser pulses and the accelerated electron bunches. Accordingly,we constructed a relative arrival-timing monitor based on non-invasive electro-optic sampling(EOS). the EOS monitor made uninterrupted shot-to-shot monitoring possible even during the seeded FEL operation. the EOS system was then used for arrival-timing feedback with an adjustability of 100 fs for continual operation of the HHG-seeded FEL. Using the EOS-based beam drift controlling system, the HHG-seeded FEL was operated over half a day with an effective hit rate of 20%–30%. the output pulse energy was 20 μJ at the 61.2 nm wavelength. towards seeded FELs in the water window region, we investigated our upgrade plan to seed high-power FELs with HH photon energy of 30–100 e V and lase at shorter wavelengths of up to 2 nm through high-gain harmonic generation(HGHG) at the energy-upgraded SPring-8Compact SASE Source(SCSS) accelerator. We studied a benefit as well as the feasibility of the next HHG-seeded FEL machine with single-stage HGHG with tunability of a lasing wavelength.

关键词： arrival-timing monitor electro-optic sampling(EOS)

Hydrodynamics of gas-solid fluidization of a homogeneous ternary mixture in a conical bed:Prediction of bed expansion and bed fluctuation ratios

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Particuology 2013年第6期11卷 681-688页

作者： D.t.k.Dora S.R.Panda Y.k.Mohanty G.k.Roy Department of Chemical Engineering Gandhi Institute of Engineering and Technology(GIET) Department of Chemical Engineering National Institute of Technology(NIT)

Hydrodynamic characteristics of fluidization in a conical or tapered bed differ from those in a columnar bed because the superficial velocity in the bed varies in the axial direction. Fixed and fluidized regions could coexist and sharp variations in pressure drop could occur, thereby giving rise to a noticeable pressure drop-flow rate hysteresis loop under incipient fluidization conditions. to explore these unique properties, several experiments were carried out using homogeneous, well-mixed, ternary mixtures with three dif- ferent particle sizes at varying composition in gas-solid conical fluidized beds with varying cone angles. the hydrodynamic characteristics determined include the minimum fluidization velocity, bed fluctuation, and bed expansion ratios. the dependence of these quantities on average particle diameter, mass fraction of the fines in the mixture, initial static bed height, and cone angle is discussed. Based on dimensional analysis and factorial design, correlations are developed using the system parameters, i.e. geometry of the bed （cone angle）, particle diameter, initial static bed height, density of the solid, and superficial velocity of the fluidizing medium. Experimental values of minimum fluidization velocity, bed fluctuation, and bed expansion ratios were found to agree well with the developed correlations.

关键词： Gas-solid fluidization Conical bed Homogeneous ternary mixtures Bed fluctuation ratio Bed expansion ratio

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菜籽油的制备

菜籽油的制备