• Title/Summary/Keyword: Finite Field

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2-Dimensional Numerical Studies on Thin HTS Film under Time Varying Magnetic Field Using Finite Element Method (변화하는 자기장 하에 있는 고온초전도체에 대한 유한요소법을 이용한 2차원 수치해석 연구)

  • Kwak, K.S.;Lee, H.Y.;Rhee, J.K.;Youm, D.;Yoo, J.;Han, Y.H.;Park, B.J.
    • Progress in Superconductivity
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    • v.13 no.3
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    • pp.151-157
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    • 2012
  • In this paper, we used E-J constitutive law and H-formulation to calculate magnetic field profile, current density, and magnetization of high temperature superconductor (HTS) placed in time varying applied magnetic field. Finite element method (FEM)-based software, Comsol Multiphysics 3.5a, was employed to simulate 2-dimensional model of a superconducting thin strip. The numerical results based on Kim's critical state model were compared with the case of strip in a perpendicular field in the Brandt's paper as well as experimental data observed by Scanning Hall Probe and SQUID.

Study on Configuration Design Sensitivity of Noise & Vibration (소음/진동의 컨피규레이션 설계 민감도 연구)

  • 왕세명;기성현
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1997.04a
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    • pp.192-198
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    • 1997
  • In the concurrent engineering, the CAD-based design model is necessary for multidisciplinary analysis and for computer-aided manufacturing (CAM). A shape and configuration design velocity field computation of structure has been developed using a computer-aided design (CAD) tool, Pro/ENGINEER. The design Parameterization with CAD tool is to characterize the change in dimensions and movements of geometric control points that govern the shape/orientation of the structural boundary. The boundary velocity is obtained by using a CAD-based finite difference method and the domain velocity field is obtained from finite element analysis (FEA) using the boundary displacement method. In this paper, the continuum configuration DSA for NVH problem, which requires the shape velocity field and the orientation velocity field at the same time, is developed using linear shape functions. For validation of continuum design sensitivity coefficients, design sensitivity coefficients are compared with the coefficients computed using by the finite difference method.

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3X Serial GF(2$^m$) Multiplier on Polynomial Basis

  • Moon, San-Gook
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • v.9 no.1
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    • pp.928-930
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    • 2005
  • With an increasing importance of the information security issues, the efficienct calculation process in terms of finite field level is becoming more important in the Elliptic curve cryptosystems. Serial multiplication architectures are based on the Mastrovito's serial multiplier structure. In this paper, we manipulate the numerical expressions so that we could suggest a 3-times as fast as (3x) the Mastrovito's multiplier using the polynomial basis. The architecture was implemented with HDL, to be evaluated and verified with EDA tools. The implemented 3x GF (Galois Field) multiplier showed 3 times calculation speed as fast as the Mastrovito's, only with the additional partial-sum generation processing unit.

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RESTRICTED AVERAGING OPERATORS IN THE FINITE FIELD SETTING

  • Koh, Doowon;Yeom, Seongjun
    • Journal of the Chungcheong Mathematical Society
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    • v.30 no.2
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    • pp.259-272
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    • 2017
  • In this paper we study the mapping properties of the finite field restricted averaging operators to various algebraic varieties. We derive necessary conditions for the boundedness of the generalized restricted averaging operator related to arbitrary algebraic varieties. It is shown that the necessary conditions are in fact sufficient in the specific case when the Fourier transform on varieties has enough decay estimates. Our work extends the known optimal result on regular varieties such as paraboloids and spheres to certain lower dimensional varieties.

CHARACTERISTIC POLYNOMIAL OF THE HYPERPLANE ARRANGEMENTS 𝓙n VIA FINITE FIELD METHOD

  • Song, Joungmin
    • Communications of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.759-765
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    • 2018
  • We use the finite method developed by C. Athanasiadis based on Crapo-Rota's theorem to give a complete formula for the characteristic polynomial of hyperplane arrangements ${\mathcal{J}}_n$ consisting of the hyperplanes $x_i+x_j=1$, $x_k=0$, $x_l=1$, $1{\leq}i,j,k,l{\leq}n$.

Determination of the magnetic field in the air-gap of the linear stepper motor by finite element method (유한요소법에 의한 리니어스텝 모우터의 공극에서의 자계 분석)

  • 이승원;이병하
    • 전기의세계
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    • v.29 no.10
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    • pp.660-666
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    • 1980
  • The finite leement method is a effetive analysis technique for obtaining approximate solutions of continuum problems with boundary conditions. This paper deals with the programming for the application of this method and the preciser analysis of the magnetic field in the air gap of the linear stepper motor by the method. The finite element analysis based on the variational principle is adopted and the computer program for reducing input data and a large number of the memory words required by the system matrix is presented. The 2-dimensional analysis of the air gap is made and several cases according to varying the position are considered.

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Derivation of Galois Switching Functions by Lagrange's Interpolation Method (Lagrange 보간법에 의한 Galois 스윗칭함수 구성)

  • 김흥수
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.15 no.5
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    • pp.29-33
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    • 1978
  • In this paper, the properties of Galois fields defined over any finite field are analysed to derive Galois switching functions and the arithmetic operation methods over any finite field are showed. The polynomial expansions over finite fields by Lagrange's interpolation method are derived and proved. The results are applied to multivalued single variable logic networks.

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ON MALCEV ALGEBRA BUNDLES

  • HOWIDA ADEL ALFRAN;K. KAMALAKSHI;R. RAJENDRA;P. SIVA KOTA REDDY
    • Journal of applied mathematics & informatics
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    • v.42 no.1
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    • pp.207-212
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    • 2024
  • In this paper, we study Malcev algebra bundles and Malcev algebra bundles of finite type. Lie algebra bundles and Lie transformation algebra bundles are defined using given Malcev algebra bundle and we conclude some results for finite type.