• Title/Summary/Keyword: 2중타원

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A Study on the Development of Pistion Measuring System (피스톤 측정 시스템 개발에 관한 연구)

  • 김경석
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.6 no.2
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    • pp.19-25
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    • 1997
  • The purpose of this study is the development of professional measuring system of piston. Designed values are compared with values of measured data of oval shape piston and allowable range and deviation are printed out by using this system. Thereafter, it is able to measure ovality precisely and to estimate its quality rapidly.

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The Expressions of Vector Gravity and Gravity Gradient Tensor due to an Elliptical Cylinder (타원 기둥에 의한 벡터 중력 및 중력 변화율 텐서 반응식)

  • Hyoungrea Rim
    • Geophysics and Geophysical Exploration
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    • v.26 no.1
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    • pp.1-7
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    • 2023
  • This study derives the expressions of vector gravity and gravity gradient tensor due to an elliptical cylinder. The vector gravity for an arbitrary three-dimensional (3D) body is obtained by differentiating the gravitational potential, including the triple integral, according to the shape of the body in each axis direction. The vector gravity of the 3D body with axial symmetry is integrated along the axial direction and reduced to a double integral. The complex Green's theorem using complex conjugates subsequently converts the double integral into a one-dimensional (1D) closed-line integral. Finally, the vector gravity due to the elliptical cylinder is derived using 1D numerical integration by parameterizing a boundary of the elliptical cross-section as a closed line. Similarly, the gravity gradient tensor due to the elliptical cylinder is second-order differentiated from the gravitational potential, including the triple integral, and integrated along the vertical axis direction reducing it to a double integral. Consequently, all the components of the gravity gradient tensor due to an elliptical cylinder are derived using complex Green's theorem as used in the case of vector gravity.

Efficient Implementations of Index Calculation Methods of Elliptic Curves using Weil's Theorem (Weil 정리를 이용한 효율적인 타원곡선의 위수 계산법의 구현)

  • Kim, Yong-Tae
    • The Journal of the Korea institute of electronic communication sciences
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    • v.11 no.7
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    • pp.693-700
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    • 2016
  • It is important that we can calculate the order of non-supersingular elliptic curves with large prime factors over the finite field GF(q) to guarantee the security of public key cryptosystems based on discrete logarithm problem(DLP). Schoof algorithm, however, which is used to calculate the order of the non-supersingular elliptic curves currently is so complicated that many papers are appeared recently to update the algorithm. To avoid Schoof algorithm, in this paper, we propose an algorithm to calculate orders of elliptic curves over finite composite fields of the forms $GF(2^m)=GF(2^{rs})=GF((2^r)^s)$ using Weil's theorem. Implementing the program based on the proposed algorithm, we find a efficient non-supersingular elliptic curve over the finite composite field $GF(2^5)^{31})$ of the order larger than $10^{40}$ with prime factor larger than $10^{40}$ using the elliptic curve $E(GF(2^5))$ of the order 36.

A study on the Bessel geoidal height to improve the accuracy of coordinate transformation (좌표변환의 정확도 향상을 위한 Bessel 지오이드고에 관한 연구)

  • Shin, Bong-Ho;Kang, Joon-Mook;Kim, Hong-Jin;Choi, Jong-Hyun
    • Journal of Korean Society for Geospatial Information Science
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    • v.2 no.2 s.4
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    • pp.143-151
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    • 1994
  • 3-D coordinates that result form GPS survey are not applied directly in korea because they are based on WGS 84 ellipsoid. Thus they must be transformed into longitude, latitude on the Bessel ellipsoid and orthometric height. Transformation parameters must be determined in order to perform the coordinate transformation. Also, coordinate transformation be preformed on longitude, latitude and ellipsoidal height. First estimation of Bessel geoidal height must be accomplished to acquire Bessel ellipsoidal height This paper suggests accuracy of coordinate transformation according to the estimation method of Bessel geoidal height. Also, This paper suggests that Bessel geoidal height have influence on the coordinates transformation.

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A Study on Piston Cutting System with CNC Lathe (피스톤을 선삭가공하기 위한 시스템에 관한 연구)

  • 송충현;김경석;김성식
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2001.04a
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    • pp.107-112
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    • 2001
  • Control system for cutting piston used in vehicle that is one of the 3D shape cutting using CNC lathe is presented. In order to cut the hybrid piston shape using CNC lathe, defined piston shape and change into machine code. The control software was developed for the high speed piston shape cutting. In this paper, the performance of this software was evaluated practically. As a result, the evaluated cutting precision was quantitatively compared with theoretical precision. Also the productivity and the quality by using CNC lathe with control software were evaluated those by using profiling.

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A Study on High Speed Positioning Device and Cutting Data Producing System for Noncircular Cutting with CNC Lathe (비원형 선삭을 위한 고속 위치결정 장치와 가공 데이터 작성 시스템에 관한 연구)

  • 김경석;김성식;김형택;송충현
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.10a
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    • pp.193-199
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    • 2000
  • Control system for cutting piston used in vehicle that is one of the 3D shape cutting using CNC lathe is presented. In order to cut the hybrid piston shape using CNC lathe, defined piston shape and change into machine code. The control software was developed for the high speed piston shape cutting. In this paper, the performance of this software was evaluated practically. As a result, the evaluated cutting precision was quantitatively compared with theoretical precision. Also the productivity and the quality by using CNC lathe with control software were evaluated those by using profiling.

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Analysis of Crystalline Polymer Orientation Via Representation of Orientation Ellipsoids (배향 타원체를 이용한 결정성 고분자의 배향특성 해석)

  • 우종표
    • The Korean Journal of Rheology
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    • v.10 no.2
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    • pp.98-105
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    • 1998
  • 가공공정중 변형을 수반하게 되는 고분자제품은 대부분 고분자사슬의 배향을 갖게 된다. 이렇나 사슬배향은 제품의 기계적, 광학적, 그리고 전기적 특성에 매우 중요한 영향을 미치는 것으로 알려져있다. 지금까지 고분자사슬의 배향상태를 나타내기 위한 여러방법은 모두 배향의 중심축을이 알려져 있다는 가정하에 전개되었다, 그러나 복잡한 배향모드를 갖 는 고분자가공의 경우에 배향중심측이 실험축과 일치하지 않는 경우가 많다 따라서 본연구 에서는 일반적인 고분자의배향상태를 나타내는 방법에 대해 알아보고 실제 고분자 가공공정 에 적용을 위해 실험적으로 배향의 대칭축을 찾을 수 있는 접근방법을 제시하고자 하였다. 그 결과 결정성 고분자의 배향상태를 광각 x-선 회절 data를 이용한2차배향 tensor를 통해 배향 타원체를 구성할수있었다. 이를PETdustls 필름과 HDPE사출성형물에 적용해 본 결과 이들의 2차 배향 tensor가 타원체를 잘 구성함을 알수 있었다. 또한 주어진 고분자의 결정 면들에 관계없이 고유한 중심축을 지니고 있음을 확인할수 있었다. 이를 통해 복잡한 배향 모드를 갖는 경우에 본연구에서 제안한 x-타원체를 통해 결정의 배향중심축을 효과적으로 찾을수 있음을 알수 있었다.

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High Performance Elliptic Curve Cryptographic Processor for $GF(2^m)$ ($GF(2^m)$의 고속 타원곡선 암호 프로세서)

  • Kim, Chang-Hoon;Kim, Tae-Ho;Hong, Chun-Pyo
    • Journal of KIISE:Computer Systems and Theory
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    • v.34 no.3
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    • pp.113-123
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    • 2007
  • This paper presents a high-performance elliptic curve cryptographic processor over $GF(2^m)$. The proposed design adopts Lopez-Dahab Montgomery algorithm for elliptic curve point multiplication and uses Gaussian normal basis for $GF(2^m)$ field arithmetic operations. We select m=163 which is the smallest value among five recommended $GF(2^m)$ field sizes by NIST and it is Gaussian normal basis of type 4. The proposed elliptic curve cryptographic processor consists of host interface, data memory, instruction memory, and control. We implement the proposed design using Xilinx XCV2000E FPGA device. Based on the FPGA implementation results, we can see that our design is 2.6 times faster and requires significantly less hardware resources compared with the previously proposed best hardware implementation.

A Study on the Operation Components for Elliptic Curve Cryptosystem based on a Real Number Field (실수체 기반 타원곡선 암호시스템의 연산항 연구)

  • Woo, Chan-Il;Goo, Eun-Hee
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.2
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    • pp.795-800
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    • 2012
  • Recently, as communication is evolved by leaps and bounds through wired/wireless networks, variety of services are routinely made through communication networks. Accordingly, technology that is for protecting data and personal information is required essentially, and study of security technology is actively being make progress to solve these information protection problems. In this paper, to expand selection scope of the key of elliptic curve cryptography, arithmetic items of real number based elliptic curve algorithm among various cryptographic algorithms was studied. The result of an experiment, we could know that elliptic curve cryptography using the real number can choose more various keys than existing elliptic curve cryptography using integer and implement securer cryptographic system.

타원편광분석법을 이용한 AlP 유전함수 연구

  • Jeong, Yong-U;Hwang, Sun-Yong;Mangesh, S.D.;Gong, Tae-Ho;Kim, Yeong-Dong;Sin, Sang-Hun;Song, Jin-Dong
    • Proceedings of the Korean Vacuum Society Conference
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    • 2011.02a
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    • pp.42-42
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    • 2011
  • 본 연구에서는 광학소자에 폭넓게 이용되는 AlGaP III-V족 화합물 반도체 중에서 한쪽 끝 이 종화합물인 AlP의 유전함수를 0.75~5.05 eV의 에너지 영역에서 타원편광분석법을 이용하여 분석하였다. AlP는 산소와 급격히 반응하기 때문에, 대기 중에서 물질 고유의 광특성이 유지되기 어려울 뿐만 아니라, 박막 위에 생성되는 산화막 때문에 순수한 AlP의 유전함수 측정이 불가능 하다. 본 연구에서는 물질의 유전함수에 미치는 산화 효과를 최소화하기 위하여 Molecular Beam Epitaxy로 성장한 $1.0{\mu}m$ 두께의 AlP 박막을 초고진공 상태의 chamber 안에서 타원편광분석기를 이용하여 실시간으로 측정하였다. 박막의 투명도에 의해 나타나는 간섭 pattern과 표면거칠기 효과로 인한 유전함수의 왜곡을 보정하기 위하여 변수화 모델이 이용되었으며 다층 변수화모델 계산을 통하여 순수한 AlP의 유전함수를 얻어낼 수 있었다. 본 연구에서 측정된 순수한 AlP의 유전함수는 타원편광분석기를 이용한 최초의 실험결과로서 이차미분을 이용한 전이점 (Critical Point) 분석결과 이론적인 electronic band structure에서 $E_1$, $E_1+_{{\Delta}_1}$, $E_2$에 해당하는 전이점들을 확인할 수 있었다.

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