• 제목/요약/키워드: state matrix

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유한체상의 순차논리머시인 구성에 관한 연구 (A Study on Constructing the Sequential Logic Machines over Finite Fields)

  • 박춘명
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2005년도 춘계종합학술대회
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    • pp.880-883
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    • 2005
  • 본 논문에서는 유한체 GF(P)상의 순차논리머시인구성 방법의 한가지를 제안하였다. 제안한 순차논리머시인구성 방법은 먼저 GF(P)상에서의 순차논리머시인의 수학적 성질을 논의하였으며, 순차논리머시인 구성을 위하여 기본의 3가지 회로소자를 사용하여 선형제환시프트레지스터와 이에 대한 행렬표현에 대해 논의하였다. 그리고, 제안한 방법을 제산연산처리에 적용하였다.

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Overlap Integrals and Recoursion Formulas for Morse Wavefunction

  • Lee, Mu-Sang;Carreira, L.A.;Berkowitz, D.A.
    • Bulletin of the Korean Chemical Society
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    • 제7권1호
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    • pp.6-12
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    • 1986
  • Overlap integrals for the case in which the ground and excited states are represented by Morse potential functions were derived. In order to calculate the spectral intensities in Morse wavefunctions, a method of expanding the wavefunctions of one state in terms of the other was developed to allow the ground and the excited state frequencies to be different. From the expansion of Morse wavefunctions, recursion formulas were developed for variational matrix elements of Morse wavefunctions. The matrix elements can be calculated using these recursion formulas and the diagonalized results which eigenvalues (allowed energies) were all successfully satisfied to Morse energy formulas.

First-principles study of dissociation processes of O2 molecular on the Al (111) surface

  • Sun, Shiyang;Xu, Pingping;Ren, Yuan;Tan, Xin;Li, Geyang
    • Current Applied Physics
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    • 제18권12호
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    • pp.1528-1533
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    • 2018
  • The trajectories of adsorption and dissociation process of $O_2$ on the Al (111) surface were studied by the spinpolarized ab initio molecular dynamics method, and the adsorption activation energy was clarified by the NEB method with hybrid functionals. Three typical dissociation trajectories were found through simulation of $O_2$ molecule at different initial positions. When vertically approaches to the Al surface, the $O_2$ molecule tends to rotate, and the activation energy is 0.66eV. If $O_2$ molecule does not rotate, the activation energy will increase to 1.43 eV, and it makes the O atom enter the Al sublayer eventually. When the $O_2$ molecules parallel approach to the Al surface, there is no activation energy, due to the huge energy released during the adsorption process.

Response of angle-ply laminated cylindrical shells with surface-bonded piezoelectric layers

  • Wang, Haojie;Yan, Wei;Li, Chunyang
    • Structural Engineering and Mechanics
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    • 제76권5호
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    • pp.599-611
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    • 2020
  • A state-space method is developed to investigate the time-dependent behaviors of an angle-ply cylindrical shell in cylindrical bending with surface-bonded piezoelectric layers. Both the interfacial diffusion and sliding are considered to describe the properties of the imperfect interfaces. Particularly, a matrix reduction technique is adopted to establish the transfer relations between the elastic and piezoelectric layers of the laminated shell. Very different from our previous paper, in which an approximate numerical technique, i.e. power series expansion method, is used to deal with the time-dependent problems, the exact solutions are derived in the present analysis based on the piezoelasticity equations without any assumptions. Numerical results are finally obtained and the effects of imperfect interfaces on the electro-mechanical responses of the laminated shell are discussed.

A Multidisciplinary Frame for Studying Democratic Shifts in Southeast Asia: Mixing Politics, Sociology And Psychology Across Historical Time

  • Montiel, Cristina Jayme
    • 수완나부미
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    • 제7권2호
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    • pp.57-78
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    • 2015
  • Southeast Asia has been a showcase for democratic transitions in the past 30 years. This paper proposes a conceptual lens for studying political shifts in the Southeast Asian region. The argumentative storyline follows two fundamental propositions about democratic transitions. My first proposition is that during democratic transitions, human phenomena arise on nested analytical layers namely the global arena, the state, prodemocracy movements, and individuals. Each layer is conventionally studied by international relations, political science, sociology, and psychology respectively. I propose a multidisciplinary lens that transverses all these analytical layers. A second proposition is that during political shifts, social conditions are historically-situated. Historicity is anchored on stages of democratization, namely the authoritarian regime, toppling the regime, power shift, state building, and nation building. This paper describes a 4 × 5 matrix (analytical layer × historical stage) that may guide a regional agenda on the empirical study of democratic transitions in the Southeast Asian region. It likewise gives examples of research findings in Philippine-based studies that have already begun to provide empirical data about segments of this research matrix.

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AN SEIR ENDEMIC MODEL FOR MONKEYPOX SPREAD IN UNITED STATES

  • S. SHALINI PRIYA;K. GANESAN
    • Journal of applied mathematics & informatics
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    • 제41권5호
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    • pp.1017-1035
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    • 2023
  • In this paper, we construct a monkeypox model which is similar to smallpox infection. It is caused by a monkeypox virus which is related to Poxviridae family. It will occur mostly in West African communities and in remote Central. We develop a system of differential equations for an SEIR (Suspected, Exposed, Infected and Recovered) model and analyze the outbreak of monkeypox disease and its effect on United States(US) population. We establish theorems on asymptotical stability conditions for endemic equilibrium and disease-free equilibrium. The basic reproduction number R0 has been determined using next generation matrix. We expect that this study will be effective at controlling monkeypox spread in United States. Our goal is to see whether monkeypox can be controlled and destroyed by smallpox vaccination. We find that monkeypox is controllable and can be fully destroyed in disease free state by vaccination. However, in the endemic state, monkeypox cannot be destroyed by vaccination alone.

Direct Fabrication of a-Si:H Thin Film Transistor Arrays on Flexible Substrates: Critical Challenges and Enabling Solutions

  • O'Rourke, Shawn M.;Loy, Douglas E.;Moyer, Curt;Bawolek, Edward J.;Ageno, Scott K.;O'Brien, Barry P.;Marrs, Michael;Bottesch, Dirk;Dailey, Jeff;Naujokaitis, Rob;Kaminski, Jann P.;Allee, David R.;Venugopal, Sameer M.;Haq, Jesmin;Colaneri, Nicholas;Raupp, Gregory B.
    • 한국정보디스플레이학회:학술대회논문집
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    • 한국정보디스플레이학회 2008년도 International Meeting on Information Display
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    • pp.1459-1462
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    • 2008
  • In this paper we describe solutions to address critical challenges in direct fabrication of amorphous silicon thin film transistor (TFTs) arrays for active matrix flexible displays. For all flexible substrates a manufacturable handling protocol in automated display-scale equipment is required. For metal foil substrates the principal challenges are planarization and electrical isolation, and management of stress (CTE mismatch) during TFT fabrication. For plastic substrates the principal challenge is dimensional instability management.

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Adsorptive removal of Ni(II) ions from aqueous solution by PVDF/Gemini-ATP hybrid membrane

  • Zhang, Guifang;Qin, Yingxi;Lv, Chao;Liu, Xingtian;Zhao, Yiping;Chen, Li
    • Membrane and Water Treatment
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    • 제7권3호
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    • pp.209-221
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    • 2016
  • As a highly hydrophilic fibrillar mineral in nature, attapulgite (ATP) is a promising new additive for preparation of ultrafiltration (UF) hybrid membrane. In this work, ATP particles, which were grafted with a new Gemini surfactant of Ethyl Stearate-di(octadecyl dimethyl ammonium chloride) to detach the crystal bundles to single crystal and enhance the uniform dispersion in an organic polymer matrix, were incorporated into poly(vinylidene fluoride) (PVDF) matrix, and PVDF/Gemini-ATP hybrid membranes for adsorptive removal of Ni(II) ions from aqueous solution were prepared via a phase inversion method. Chemical composition, crystalization and morphology of the modified ATP were characterized by Fourier transform infrared spectroscopy (FTIR), Transmission electron microscope (TEM) and X-ray diffraction (XRD), respectively. The morphology of the hybrid membrane was characterized by Scanning electron microscopy (SEM), the performance of permeability, hydrophilicity and adsorption of Ni(II) ions were studied, and the adsorption kinetics of the PVDF/ATP hybrid membranes were particular concerned. The results showed that the hybrid membrane displayed a good thermal stability and hydrophilicity. Comparing with PVDF membrane, the hybrid membrane possessed good adsorption capacity for Ni(II) ions, and the adsorption kinetics fit well with Lagergren second-order equation.

Ultrasonic Vibration and Rheocasting for Refinement of Mg-Zn-Y Alloy Reinforced with LPSO Structure

  • Lu, Shulin;Yang, Xiong;Hao, Liangyan;Wu, Shusen;Fang, Xiaogang;Wang, Jing
    • Metals and materials international
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    • 제24권6호
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    • pp.1315-1326
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    • 2018
  • In this work, ultrasonic vibration (UV) and rheo-squeeze casting was first applied on the Mg alloy reinforced with long period stacking ordered (LPSO) structure. The semisolid slurry of Mg-Zn-Y alloy was prepared by UV and processed by rheosqueeze casting in succession. The effects of UV, Zr addition and squeeze pressure on microstructure of semisolid Mg-Zn-Y alloy were studied. The results revealed that the synergic effect of UV and Zr addition generated a finer microstructure than either one alone when preparing the slurries. Rheo-squeeze casting could significantly refine the LPSO structure and ${\alpha}-Mg$ matrix in $Mg_{96.9}Zn_1Y_2Zr_{0.1}$ alloy without changing the phase compositions or the type of LPSO structure. When the squeeze pressure increased from 0 to 400 MPa, the block LPSO structure was completely eliminated and the average thickness of LPSO structure decreased from 9.8 to $4.3{\mu}m$. Under 400 MPa squeeze pressure, the tensile strength and elongation of the rheocast $Mg_{96.9}Zn_1Y_2Zr_{0.1}$ alloy reached the maximum values, which were 234 MPa and 17.6%, respectively, due to its fine ${\alpha}-Mg$ matrix (${\alpha}1-Mg$ and ${\alpha}2-Mg$ grains) and LPSO structure.

IDEMPOTENT MATRIX PRESERVERS OVER BOOLEAN ALGEBRAS

  • Song, Seok-Zun;Kang, Kyung-Tae;Beasley Leroy B.
    • 대한수학회지
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    • 제44권1호
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    • pp.169-178
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    • 2007
  • We consider the set of $n{\times}n$ idempotent matrices and we characterize the linear operators that preserve idempotent matrices over Boolean algebras. We also obtain characterizations of linear operators that preserve idempotent matrices over a chain semiring, the nonnegative integers and the nonnegative reals.