• Title/Summary/Keyword: ${\chi}$상

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Design of Systolic Multiplier/Squarer over Finite Field GF($2^m$) (유한 필드 GF($2^m$)상의 시스톨릭 곱셈기/제곱기 설계)

  • Yu, Gi-Yeong;Kim, Jeong-Jun
    • Journal of KIISE:Computer Systems and Theory
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    • v.28 no.6
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    • pp.289-300
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    • 2001
  • 본 논문에서는 유한 필드 GF(2$_{m}$ ) 상에서 모듈러 곱셈 A($\chi$)B($\chi$) mod P($\chi$)을 수행하는 새로운 선형 문제-크기(full-size) 시스톨릭 어레이 구조인 LSB-first 곱셈기를 제안한다. 피연산자 B($\chi$)의 LSB(least significant bit)를 먼저 사용하는 LSB-first 모듈러 곱셈 알고리즘으로부터 새로운 비트별 순환 방정식을 구한다. 데이터의 흐름이 규칙적인 순환 방정식을 공간-시간 변환으로 새로운 시스톨릭 곱셈기를 설계하고 분석한다. 기존의 곱셈기와 비교할 때 제안한 곱셈기의 면적-시간 성능이 각각 10%와 18% 향상됨을 보여준다. 또한 같은 설계방법으로 곱셈과 제곱연산을 동시에 수행하는 새로운 시스톨릭 곱셈/제곱기를 제안한다. 유한 필드상의 지수연산을 위해서 제안한 시스톨릭 곱셈/제곱기를 사용할 때 곱셈기만을 사용 할 때보다 면적-시간 성능이 약 26% 향상됨을 보여준다.

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Effect of the Meteorological Conditions on the Cocoon Production in silkwom, in Kyungsang-Nam-Do, Korea (제기상조건이 잠견생산량에 미치는 영향(경상남도를 중심으로))

  • 장창식
    • Journal of Sericultural and Entomological Science
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    • v.15 no.2
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    • pp.55-60
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    • 1973
  • The statistical interpretations are on the correlations and the linear regressions between the various meteorological conditions the branch Pusan-Observatory of the National-Central-Meteorological-Observatory had measured from 1930 to 1962, and the production of silk worm cocon that the Section of Sericulture in the Ministry of Agriculture & Fishery had recorded from 1930 to 1962 in Gyung Sang Nam Do Korea. These were most in proportion to the sun shine time, an inverse proportion to the atmosphere humidity and the lowest temperature, in proportion to the mean temperature, the highest temperature and the amount of the rain fall. The correlations and linear regressions between the various meteorological factors to control the production of the silkworm cocoon of both per a box of the silk worm egg and per 10a of mulberry field was as follows. (1) The production of the spring silk worm cocoon was dicided by the various meteorological factors. 1. This was in proportion to the total sun shine time between 5 and 6 month. r=0.40*-(0.42$^{**}$) Y=0.0269$\chi$+6.46-(0.2795$\chi$+10.25) 2. This was an inverse proportion to the total amount between 5 and 6 month atmosphere humidity. r=-0.49$^{***}$-(-0.40*) Y=-0.2989$\chi$+62.77-(0.1474$\chi$+31.86) 3. This wasin proportion to the total rain fall amount between 6 and 7 month. r=0.47$^{***}$-(0.44$^{***}$) Y=0.0037$\chi$+16.42-(0.0035$\chi$+8.35) (2) The production of the autumn silk worm cocoon was decided by the various meteorological factors. 1. This was in proportion to the total sun shine time between 5 and 6 month. r=0.37*-(0.45$^{***}$) Y=0.0205$\chi$+5.51-(0.0173$\chi$+2.41) 2. This was an inverse proportion to the total amount between 5 and 6 month atmosphere humidity. r=-0.41$^{**}$-(-0.42$^{**}$) Y=-0.2085$\chi$+45.33-(-0.0599$\chi$+12.17) 3. This was in proportion to the total of rain fall amount of 6 and 7 month. r=0.48$^{***}$-(0.35*) Y=0.0050$\chi$+11.97-( ) 4. This was in proportion to the total sun shine time among 3, 4, 5, and 6 month. r=0.51$^{****}$-(0.49$^{***}$) Y=0.0178$\chi$-1.27-(0.0096$\chi$-3.60) 5. This was an inverse proportion to the total amount among 3, 4, 5, and 6 month atmosphere humidity r=-0.41/$^{**}$-(-0.44$^{***}$) Y=-0.0938$\chi$+40.14-(-0.05693$\chi$+20.49) 6. This was in proportion to the total of a year sun shine time. r=0.58$^{****}$-(0.43) Y=0.0037$\chi$+5.35-(0.0015$\chi$+1.02) (3) The production of the next year spring silk worm cocoon was decided by the this year various meteorological factors. 1. This was in proportion to the total of a year sun shine time. r=0.55$^{****}$-(0.52$^{****}$) Y=0.0034$\chi$+12.02-(0.0025$\chi$+3.84).>+3.84).3.84).>+3.84).

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Effect of χ Phase on Impact Toughness of 25Cr-7Ni-2Mo-4W Super Duplex Stainless Steel (25Cr-7Ni-2Mo-4W 슈퍼 2상 스테인리스강의 충격인성에 미치는 χ상의 영향)

  • Namgung, Won;Kang, Chang-Yong
    • Journal of Ocean Engineering and Technology
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    • v.27 no.2
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    • pp.75-79
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    • 2013
  • This study was carried out to investigate the precipitation behavior of the ${\chi}$ phase and the impact toughness of 25%Cr-7%Ni-2%Mo-4%W super duplex stainless steel. The ${\chi}$ phase was precipitated in the early stage of aging, and with the increasing aging time. However, after reaching a maximum value, the number decreased as a result of the gradual transformation of the ${\chi}$ phase into the ${\sigma}$-phase. It was proved that the ${\chi}$ phase was an intermetallic compound, which represented a lower nickel concentration, higher chromium and molybdenum concentrations, and very higher tungsten concentration compared to the matrix phases. It also showed higher molybdenum and tungsten concentrations than the ${\sigma}$ phase. The decomposition of the ferrite phase into the ${\gamma}_2$ and ${\sigma}$ phases was retarded by W substitution for Mo. Thus, the number of ${\chi}$ phases increased. The impact value was decreased by the substitution of W for Mo. The impact toughness rapidly decreased with time when the ${\chi}$ phase began to precipitate in the initial stage of aging. The impact toughness was, therefore, greatly influenced for the precipitation of the ${\chi}$ phase.

The Chromatic Number Algorithm in a Planar Graph (평면의 채색수 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.19 no.5
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    • pp.19-25
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    • 2014
  • In this paper, I seek the chromatic number, the maximum number of colors necessary when adjoining vertices in the plane separated apart at the distance of 1 shall receive distinct colors. The upper limit of the chromatic number has been widely accepted as $4{\leq}{\chi}(G){\leq}7$ to which Hadwiger-Nelson proposed ${\chi}(G){\leq}7$ and Soifer ${\chi}(G){\leq}9$ I firstly propose an algorithm that obtains the minimum necessary chromatic number and show that ${\chi}(G)=3$ is attainable by determining the chromatic number for Hadwiger-Nelson's hexagonal graph. The proposed algorithm obtains a chromatic number of ${\chi}(G)=4$ assuming a Hadwiger-Nelson's hexagonal graph of 12 adjoining vertices, and again ${\chi}(G)=4$ for Soifer's square graph of 8 adjoining vertices. assert. Based on the results as such that this algorithm suggests the maximum chromatic number of a planar graph is ${\chi}(G)=4$ using simple assigned rule of polynomial time complexity to color for a vertex with minimum degree.

Indexing Techniques or Nested Attributes of OODB Using a Multidimensional Index Structure (다차원 파일구조를 이용한 객체지향 데이터베이스의 중포속성 색인기법)

  • Lee, Jong-Hak
    • The Transactions of the Korea Information Processing Society
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    • v.7 no.8
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    • pp.2298-2309
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    • 2000
  • This paper proposes the multidimensioa! nested attribute indexing techniques (MD- NAI) in object-oriented databases using a multidimensional index structure. Since most conventional indexing techniques for object oriented databases use a one-dimensional index stnlcture such as the B-tree, they do not often handle complex qUlTies involving both nested attributes and class hierarchies. We extend a tunable two dimensional class hierachy indexing technique(2D-CHI) for nested attributes. The 2D-CHI is an indexing scheme that deals with the problem of clustering ohjects in a two dimensional domain space that consists of a kev attribute dOI11'lin and a class idmtifier domain for a simple attribute in a class hierachy. In our extended scheme, we construct indexes using multidimensional file organizations that include one class identifier domain per class hierarchy on a path expression that defines the indexed nested attribute. This scheme efficiently suppoI1s queries that involve search conditions on the nested attribute represcnted by an extcnded path expression. An extended path expression is a one in which a class hierarchy can be substituted by an indivisual class or a subclass hierarchy in the class hierarchy.

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Compatibility Studies of Blends of Engineering polymers and Thermotropic Liquid Crystalline Polymers (엔지니어링 고분자와 열방성 액정고분자 블렌드의 상용성에 관한연구)

  • 전용성
    • The Korean Journal of Rheology
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    • v.9 no.2
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    • pp.53-59
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    • 1997
  • 열방성 액정고분자(LCP)와 polycarbonate(PC) poly(ether imide) (PEI) poly(PEEK), polysulfone(PSF), 그리고 polyarylsulfone(PAS)과의 블렌드에 대한 상용성을 연구하였다. 제조된 블렌드의 상거동에서 액정고분자가 PC-, PEI-, PEEK-, PSF-, 그리고 PAS-rich 상 에 녹아 들어가는 양이 PC, PEI, PEEK, PSF, 그리고 PAS가 액정 고분자 -rich상에 녹아들 어가는 양보다 많음을 알수 있었다. 측정된 블렌드의 유리전이온도 결과로부터 PC, PEI, PEEK와 액정고분자 사이의 상용성이 PSF, PAS와 액정 고분자 사이의 상용성에 비하여 더 좋음을 알수 있었다. 액정 고분자의 이방성을 고려하여 고분자-고분자 상호작용계수($\chi$12)를 결정하였으며, PC, PEI, PEEK, PSF, 그리고 PAS를 포함한 액정 고분자 블렌드에서 $\chi$12는 0.078-0.183으로 나타났다.

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Shear Strength of Sn-3-5Ag-$\chi$Bi Solder Balls Reflowed on Cu/Ni-Co/Au Metallizations (Bi가 첨가된 Sn-3.5Ag 솔더볼과 Cu/Ni-Co/Au 하부층과의 접합 강도 연구)

  • Shin, Seung-Woo;Yoo, Jin
    • Proceedings of the International Microelectronics And Packaging Society Conference
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    • 2002.05a
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    • pp.98-103
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    • 2002
  • BGA(Ball Grid Array) 패키지의 솔더볼 패드 중의 하나인 Au/Ni-Co/Cu 금속층 위에 Bi가 첨가된 Sn-3.5Ag-$\chi$Bi 솔더볼을 리플로우시켰다. 리플로우한 후 130 $^{\circ}C$에서 열처리함에 따른 계면상 및 솔더 내부의 상변화를 관찰하였다. 계면에는 (Ni,Co)$_3$Sn$_4$외에 (Au,Ni,Co,Bi)Sn$_4$가 생성되었음을 관찰할 수 있었고, 솔더 내부에는 (Au,Ni,Co,Bi)SH$_4$, Ag$_3$Sn, Bi 상이 혼재되어 있었다. Nano-indentation에 의한 경도 측정 결과, Bi 함량 증가에 따라 경도는 증가하였으나, 볼전단(Ball Shear) 테스트 결과는 Bi가 증가됨에 따라 오히려 볼전단 강도값이 감소하였다. 이는 파면 검사 결과, 파괴 경로가 주로 계면의 금속간 화합물과 솔더 사이에서 진행함에 기인한 것이다. 솔더 내부의 파괴 경로를 가진 2.5Bi가 가장 우수한 볼전단 강도값을 나타내었는데, 이는 솔더내의 Bi의 고용강화에 기인한 것으로 보인다.

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Bit-Parallel Systolic Divider in Finite Field GF(2m) (유한 필드 GF(2m)상의 비트-패러럴 시스톨릭 나눗셈기)

  • 김창훈;김종진;안병규;홍춘표
    • The KIPS Transactions:PartA
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    • v.11A no.2
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    • pp.109-114
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    • 2004
  • This paper presents a high-speed bit-parallel systolic divider for computing modular division A($\chi$)/B($\chi$) mod G($\chi$) in finite fields GF$(2^m)$. The presented divider is based on the binary GCD algorithm and verified through FPGA implementation. The proposed architecture produces division results at a rate of one every 1 clock cycles after an initial delay of 5m-2. Analysis shows that the proposed divider provides a significant reduction in both chip area and computational delay time compared to previously proposed systolic dividers with the same I/O format. In addition, since the proposed architecture does not restrict the choice of irreducible polynomials and has regularity and modularity, it provides a high flexibility and Scalability with respect to the field size m. Therefore, the proposed divider is well suited to VLSI implementation.

Formation and Color of the Spinel Solid Solution in NiO-ZnO-$Fe_2O_3$-$TiO_2$-$SnO_2$ System (NiO-ZnO-$Fe_2O_3$-$TiO_2$-$SnO_2$ 계 Spinel 고용체의 생성과 발색에 관한 연구)

  • 이응상;이진성
    • Journal of the Korean Ceramic Society
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    • v.28 no.4
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    • pp.305-314
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    • 1991
  • This study was conducted to research the formation and the color development of NiO-ZnO-Fe2O3-TiO2-SnO2 system for the purpose of synthesizing the spinel pigments which are stable at high temperature. After preparing ZnO-Fe2O3 as a basic composition, {{{{ chi }}NiO.(l-{{{{ chi }})ZnO.Fe2O3 system, {{{{ chi }}NiO.(l-{{{{ chi }})ZnO.TiO2 system, and {{{{ chi }}NiO.(l-{{{{ chi }})ZnO.SnO2 system were prepared with {{{{ chi }}=0, 0.2, 0.5, 0.7, 1 mole ratio respectively. The manufacturing was carried out at 128$0^{\circ}C$ for 30 minutes. The reflectance measurement and the X-ray analysis of these specimens were carried out and the results were summarized as follows. 1. In the specimens which included NiO, it was difficult for the spinel structure to be formed. 2. As increasing the contents of NiO and Fe2O3, all the groups which were yellow or green colored changed to brown. 3. NiO-ZnO-Fe2O3 system and NiO-ZnO-TiO2 system formed the spinel structure and the illmenite structure appeared in NiO-TiO2 system.

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