• 제목/요약/키워드: powers

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3 ${\times}$ 3 라틴방격모형의 검정력 분석 (Power analysis for 3 ${\times}$ 3 Latin square design)

  • 최영훈
    • Journal of the Korean Data and Information Science Society
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    • 제20권2호
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    • pp.401-410
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    • 2009
  • 두 블럭인자와 하나의 주인자로 구성된 3 ${\times}$ 3 라틴방격모형의 특성으로 인하여 주효과를 검정하기 위한 순위변환 통계량의 검정력은 모집단의 분포유형에 상관없이 모수적 통계량의 검정력보다 전반적으로 월등히 높은 수준이다. 특히 세인자가 모두 고정인 경우, 하나의 블럭인자만이 랜덤인 경우, 두 블럭인자가 모두 랜덤인 경우의 순서로 주효과를 검정하기 위한 순위변환 통계량의 검정력이 모수적 통계량의 검정력에 비하여 상대적으로 높다. 또한 검정하고자 하는 주효과의 크기가 크되 동시에 동일크기의 하나의 블럭효과 및 또다른 블럭효과 크기는 상대적으로 작을수록 주효과를 검정하기 위한 순위변환 통계량의 검정력은 모수적 통계량의 검정력보다 상대적 우위성을 갖는다.

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블럭이 존재하는 $2{\times}2$ 요인모형의 검정력 분석 (Power analysis for $2{\times}2$ factorial in randomized complete block design)

  • 최영훈
    • Journal of the Korean Data and Information Science Society
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    • 제22권2호
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    • pp.245-253
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    • 2011
  • 블럭이 존재하는 $2{\times}2$ 요인모형의 주 효과 및 상호작용효과를 검정하기 위한 순위변환 통계량의 검정력은 블럭크기, 효과들의 구성방법 및 지수분포, 이중지수분포, 정규분포, 균일 분포를 포함한 모든 모집단 분포하에서 모수적 통계량의 검정력보다 월등한 우위를 보인다. 이는 블럭이 추가된 요인 모형은 블럭과 요인의 상호작용들이 오차항을 증가시켜 모수적 통계량의 검정력을 감소시키는 보수적 성향을 보이나, 순위변환 통계량의 검정력은 상대적 우위를 유지함에 기인한다고 유추할 수 있다. 일반적으로 블럭크기가 작고, 효과크기가 클수록 순위변환 통계량의 검정력은 모수적 통계량의 검정력보다 상당히 큰 격차의 상대적 우위를 보임을 알 수 있다.

SUMS OF (pr + 1)-TH POWERS IN THE POLYNOMIAL RING Fpm[T]

  • Car, Mireille
    • 대한수학회지
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    • 제49권6호
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    • pp.1139-1161
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    • 2012
  • Let $p$ be an odd prime number and let F be a finite field with $p^m$ elements. We study representations and strict representations of polynomials $M{\in}F$[T] by sums of ($p^r$ + 1)-th powers. A representation $$M=M_1^k+{\cdots}+M_s^k$$ of $M{\in}F$[T] as a sum of $k$-th powers of polynomials is strict if $k$ deg $M_i<k$ + degM.

GF($2^m$) 상의 누승 및 역원을 구하는 방법에 관한 연구 (A Study on a Method for Computing the Powers and Inverses in GF($2^m$))

  • 박용준;강성수;김홍수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1987년도 전기.전자공학 학술대회 논문집(II)
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    • pp.1191-1194
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    • 1987
  • This paper presents a method for computing the powers and inverse of an element in GF($2^m$). This method is based on the squaring algorithm $A^2=\sum\limits_{i=0}^{2m-2}P_i$, where $Pi={\alpha}_{i/2}$ if i is even, Pi=0 otherwise, derived from the multiplication algorithm for two elements in GF($2^m$). The powers and inverses in GF($2^m$) for m=2, 3, 4,5 were obtained using computer program, and used in circuit realization of Galois switching function. The squaring and inverse generating circuits are also shown.

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채널의 출력제어를 통한 셀룰라 이동통신 시스템의 최적 설계 (Optimal design of mobile cellular communication systems by channel power control)

  • 옥창수;염봉진;이형수;김성준
    • 한국통신학회논문지
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    • 제21권12호
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    • pp.3154-3164
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    • 1996
  • A major concern in a cellular mobile communication system is how to efficiently utilize the limited amount of frequencies. Various channel assignment methods and traffic sharing schemes have been proposed to improve system performance. However, these approaches suffer from complicated software and hardware requirements due to increased amount of traffic control In this paper, we propose a new method for improving system performance by controlling the powers of the set-up and voice channels of each cell site. We first show that the average number of blocked calls in a system is minimized when the traffic reates are made identical for all cell sites in a system. This result, together with the relationship between the channel powers and the service area, is used to determine the appropriate channel powers of each cell site. We also determine the upper limit on the channel power of each cell site considering co-channel interference and numerically show that the proposed method is effective in reducing the number of blocked calls without an excessive increase in the amount of system control.

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Multi-level SCPC 시스템에서 링크환경을 고려한 중계기 입력반송파 전력의 최적화 (Optimization of input carrier powers considering satellite link environment in the multi-level SCPC systems)

  • 김병균;최형진
    • 한국통신학회논문지
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    • 제21권5호
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    • pp.1240-1255
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    • 1996
  • This paper suggests power optimization technique in multi-level SCPC system as a method for efficient utilization of limited satellite power. The power optimization is realized by optimal assignment of satellite input carrier powers considering interference and noise generated in up-link and down-link. The Fletcher-Powell algorithm searching minimum(or maximum) point using gradient information is used to detemine the optimal input carrier powers. To apply Flectcher-Powell algorithm mathematical descriptions and their partial derivatives to interference and nose are presented. Because a target, which should be optimized, is satellite input carrier power, amplitude of each carrier group will be assumed to be an independent variable. The performance criterion for optimal power assignmentis classified into 4 categories with respect to CNR of destination receiver earth station to meet the requirement for various satellite link environment. Simulation results for two-level, four-level and six-level SCPC system are presented.

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포졸란계 미분말 및 화학혼화제에 의한 시멘트페이스트의 유동특성에 관한 연구 (A Study on the Mobility Properties of Cement Paste by Fine Fowers of Pozzolan Chemical Adixtures)

  • 김도수;노재성
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1995년도 가을 학술발표회 논문집
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    • pp.25-29
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    • 1995
  • To perform high-strength of concrete, fine powers of pozzolan such as fly ash, silica fume mixed with cement. But mobility of cement and concrete decreased due to using of these powers. To control decrease of this mobility, it is required that mobility is improved by using of chemical admixture such as superplasticizer. We used admixtures -NSF, NM-2, NT-2 etc- in order to improve mobility of cement paste being substituted by 10, 20% of pozzolans respectively. It proved that optimum dosage of NSF, NT-2 was 2.0% for being substituted 10%, 3.0% for 20% so as to increase mobility of cement paste mixed paste mixed with fine powers of pozzolan at W/C=0.40.

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Achromatic and Athermal Design of an Optical System with Corrected Petzval Curvature on a Three-dimensional Glass Chart

  • Lim, Tae-Yeon;Kim, Yeong-Sik;Park, Sung-Chan
    • Current Optics and Photonics
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    • 제1권4호
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    • pp.378-388
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    • 2017
  • We present a graphical method for determining a pair of optical materials and powers to design an achromatic and athermal lens system with corrected Petzval curvature. To graphically obtain the solutions, a three-dimensional (3D) glass chart is proposed. Even if a particular material combination is unavailable, we can select an element suitable for a specific lens and continuously change the element powers of an equivalent single lens for aberrations correction. Thus, we can iteratively identify the materials and powers on a 3D glass chart. By designing a fisheye lens using this method, an achromatic and athermal system with flat Petzval curvature is obtained, over the specified waveband and temperature ranges.

AN EXPLICIT FORM OF POWERS OF A $2{\times}2$ MATRIX USING A RECURSIVE SEQUENCE

  • Kim, Daniel;Ryoo, Sangwoo;Kim, Taesoo;SunWoo, Hasik
    • 충청수학회지
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    • 제25권1호
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    • pp.19-25
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    • 2012
  • The purpose of this paper is to derive powers $A^{n}$ using a system of recursive sequences for a given $2{\times}2$ matrix A. Introducing a recursive sequence we have a quadratic equation. Solutions to this quadratic equation are related with eigenvalues of A. By solving this quadratic equation we can easily obtain an explicit form of $A^{n}$. Our method holds when A is defined not only on the real field but also on the complex field.

우리나라 계통의 전압제어지역별 무효전력 예비율 산정 (The estimation of reactive power reserves of generators in voltage control areas of KEPCO systems)

  • 김봉식;최윤혁;서상수;이병준;이흥재;송인준
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2007년도 제38회 하계학술대회
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    • pp.455-456
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    • 2007
  • Maintaining the voltages is important in the power systems and the voltage is closely associated with the reactive powers. Therefore, the voltages are maintained by controlling the reactive powers. However actually it is impossible to control reactive power for maintaining all bus voltages. Thus, Secondary Voltage Regulation was designed. It divides power systems into some control areas and controls pilot node with the included generators. The reactive powers of generators can control pilot bus voltage continuously and fast. Therefore we need to divide areas and select control generators for SVR with Electrical distance. Then estimation of the reactive power reserves of geneators is needed in voltage control areas to control voltages of the pilot nodes.

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