• 제목/요약/키워드: ${\alpha}$-Method

검색결과 3,590건 처리시간 0.037초

NEW CONVERGENCE CONDITIONS OF SECANT METHODS VIA ALPHA THEORY

  • KIM, S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • 제5권2호
    • /
    • pp.101-115
    • /
    • 2001
  • Recent theoretical analysis of numerical methods for solving nonlinear systems of equations is represented by alpha theory of Newton method developed Smale et al. The theory was extended to Secant method by providing convergence conditions by Yakoubsohn which the Secant method is treated as an operator defined for analytical functions. We use Secant methods as an iterative scheme with approximations, which results in new convergence conditions. We compare the two conditions and show that the new conditions represent the features of Secant method in a more precise way.

  • PDF

$\alpha$-picolin동에 의한 aspirin의 용매 흡광도 정량법 (Spectrophotometric determination of acetylsalicylic acid with copper-$\alpha$-picolin complex in tetrachloromethane)

  • 백남호;박만기
    • 약학회지
    • /
    • 제13권2_3호
    • /
    • pp.80-83
    • /
    • 1969
  • Acetylsalicylic acid gives a water-insoluble violet complex with $<\alpha>$-Picolin-Cu(II) reagent. The Complex is extractable well with a mixture of $<\alpha>$-Picolin-tetrachloromethane solution. The Complex salt dissolved in the mixed solution shows a maximum absorption at 620 m$<\mu>$. It has a melting point at $171^{\circ}C-$173^{\circ}C and molar ratio of Acetylsalicylic acid: Cu(II): $<\alpha>$-Picolin was estimated as 2:1:2 by continuous variation method and chelate titration method.

  • PDF

분포무관추정량을 이용한 퍼지회귀모형 (Fuzzy Linear Regression Using Distribution Free Method)

  • 윤진희;최승회
    • Communications for Statistical Applications and Methods
    • /
    • 제16권5호
    • /
    • pp.781-790
    • /
    • 2009
  • 본 논문에서는 퍼지수를 포함한 모수적 회귀모형을 추정하기 위하여 분포무관추정량으로 알려진 순위 변환방법과 Theil 방법을 소개한다. 순위 변환방법은 퍼지수의 ${\alpha}$-수준집합의 중심과 폭에 대한 순위를 이용하고 Theil 방법은 ${\alpha}$-수준집합의 중심과 폭에 대한 추정한 값들의 중위수를 이용한다. 예제를 이용하여 분포무관추정량으로 추정된 퍼지회귀모형의 효율성을 최소자승법과 여러 가지 방법으로 추정된 퍼지회귀모형과 비교한다.

침전법으로 제조한 Alumina 분말의 특성(III) : 소결거동 (Properties of Alumina Powder Prepared by Precipitation Method (III) : Sintering Behavior)

  • 홍기곤;이홍림
    • 한국세라믹학회지
    • /
    • 제25권5호
    • /
    • pp.465-472
    • /
    • 1988
  • Alpha alumina powder with fine particle size and narrow particle size distribution was prepared by precipitation method using Al2(SO4)3.18H2O as a starting material. The alpha alumina powder was prepared by calcining aluminum hydroxide which was formed under various pH values. The sinterabilityof alpha alumina powder and the effect of MgO on the sinterability of alpha alumina powder were investigated. The sinterability of alpha alumina powder was the order of pH=10≒pH11>pH=7≒pH9, and alpha alumina obtained from boehmite which was prepared by precipitation method reached to 97.5% of theoretcal density by the pressureless sintering. The effect of MgO on volume shrinkage of alumina was very slight in the initial sintering stage but remarkable in the final sintering stage. It was also found that MgO controlled effectively the grain growth of alumina.

  • PDF

Alpha center를 이용한 전기비저항 수치 모델링 : 현장 탐사 자료에 대한 적용 예 (Numerical Resistivity Modeling Using Alpha Center Theory: A Case History for Field Resistivity Data)

  • 윤왕중
    • 터널과지하공간
    • /
    • 제7권4호
    • /
    • pp.334-340
    • /
    • 1997
  • Alpha center theory which was first proposed by Stefanescu has been proved to be effective for the detection of the location of the conductive orebody. A numerical forward modeling was conducted to verify the effectiveness of this method. Field works were carried out along the three profiles in two different areas for the purpose of finding fractured zone which might be accompanied with the presence of the groundwater. And the results were modeled by alpha center method, which was later testified by wellproven 2-dimensional finite difference inversion scheme. Field data could be successfully modeled with this alpha center algorithm, especially for the smooth-varying resistivity models. For the abrupt change of the resistivity values, the alpha center coefficients have a tendency to be negative to simulate the steep resistivity gradients. This method is quite simple and easy for the future applications. The numerical calculation can be performed very quickly with the personal computers.

  • PDF

Permutation Test for the Equality of Several Independent Cronbach's Alpha Coefficients

  • Um, Yonghwan
    • 한국컴퓨터정보학회논문지
    • /
    • 제24권6호
    • /
    • pp.159-164
    • /
    • 2019
  • The statistical inference of Cronbach's alpha measure of internal reliability is known to be inaccurate when sample size is small and the assumption of normality is violated. In this paper, we describe the permutation method in which we compute resampling p-values for testing the difference between two or more independent Cronbach's alpha coefficients. When the over-all permutation test is significant, we also make pairwise post-hoc comparisons using permutaion method. The permutation tests for the equality of two independent Cronbach's alpha coefficients and three independent Cronbach's alpha coefficients are illustrated with an example analysis of survey data.

유사동적실험을 위한 내재적 방법에 관한 연구 (Research on the Implicit Method for Pseudo-Dynamic Test)

  • 박종협;조창백;정영수
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 2000년도 봄 학술발표회 논문집
    • /
    • pp.617-622
    • /
    • 2000
  • The use of unconditionally stable implicit time integration techniques for pseudo-dynamic test has been recently proposed and advanced by several researchers such as Thewalt and Mahin, Nakashima and Shing, etc. The developed implicit algorithms are based on the $\alpha$-Method of Huges et al. In this paper, a concise summary and explanation of implicit method for Pseudo dynamic tese is presented. Especially, The $\alpha$-C method developed by shing et al. has been in-depth evaluated for this study. Important parameters of the $\alpha$-C method have been analyzed by the simulation test.

  • PDF

\alpha$-레벨집합 분해에 의한 퍼지제어 추론계산법과 하드웨어에 관한 연구 (A Calculation Method for fuzzy Control by $\alpha$-cut Decomposition and Its Hardware Implementation)

  • 홍순일;이요섭;장용민
    • 융합신호처리학회 학술대회논문집
    • /
    • 한국신호처리시스템학회 2001년도 하계 학술대회 논문집(KISPS SUMMER CONFERENCE 2001
    • /
    • pp.133-136
    • /
    • 2001
  • In this paper, we propose a calculation method for fuzzy control based on quantized $\alpha$ -cut decomposition of fuzzy sets. This method is easy to be implemented in analog hardware. The effect of quantization levels on defuzzified fuzzy inference result is investigated. A few quantization levels are sufficient for fuzzy control. The hardware implementation of this calculation method and the defuzzificaion by gravity center method by PWM are also presented.

  • PDF

Decoupled SVPWM for Five-Phase Permanent Magnet Machines with Trapezoidal Back-EMF

  • Lin, Zhipeng;Liu, Guohai;Zhao, Wenxiang;Chen, Qian
    • Journal of Power Electronics
    • /
    • 제18권5호
    • /
    • pp.1424-1433
    • /
    • 2018
  • This paper presents a novel space vector pulse-width modulation (SVPWM) to synthesize an arbitrary non-sinusoidal phase voltage. The key of the proposed method is that the switching vectors used to comprise the reference vectors in the ${\alpha}_1-{\beta}_1$ frame and the ${\alpha}_3-{\beta}_3$ frame are decoupled. In the ${\alpha}_1-{\beta}_1$ frame, the reference vector is comprised by near two large vectors. The corresponding vector comprised by the two vectors in the ${\alpha}_3-{\beta}_3$ frame is considered as a disturbance, which is restrained by close-loop control. In the ${\alpha}_3-{\beta}_3$ frame, there are two methods to comprise the reference vector. Method I is a near two middle vectors method. Method II uses near four vectors (two middle and two little vectors). The proposed SVPWM using decoupled switching vectors can guarantee a maximum modulation index in the ${\alpha}_1-{\beta}_1$ frame. The effectiveness of the proposed method is verified by simulated and experimental results under various operation conditions.

Alpha-Tocopherol Contents of Peanut Seeds Depend on Varieties and Processing Methods

  • Doo, Hong-Soo
    • 한국자원식물학회지
    • /
    • 제20권6호
    • /
    • pp.553-557
    • /
    • 2007
  • The purpose of this study is to establish an extraction and analysis method for $\alpha$-tocopherol, and to then distinguish among varieties. The $\alpha$-tocopherol contents of 22 varieties of peanut seeds were analyzed by HPLC. Peanut seeds of cv. Palkwang were processed in two ways, by boiling and roasting. The $\alpha$-tocopherol contents of the two types of peanuts were compared with fresh seeds without any processing. $\alpha$-Tocopherol was detected at a retention time of 2.95 minutes. Five standards of $\alpha$-tocopherol covering a range of $20{\sim}100{\mu}g/ml$ were made up in 2% isopropyl alcohol/n-hexane and analyzed in duplicate. The $\alpha$-tocopherol contents differed according to extraction temperature. The contents were $85{\mu}g/g$ or less at $10^{\circ}C\;and\;20^{\circ}C$ and $94{\mu}g/g$ at $30^{\circ}C$, but they were decreased at $40^{\circ}C$ or higher. The $\alpha$-tocopherol contents in 22 peanut varieties were $61.36{\sim}96.80{\mu}g/g$ according to variety. Fresh peanuts contained $106.7{\mu}g/g$ of $\alpha$-tocopherol, while boiled peanuts contained $108.8{\mu}g/g$ of $\alpha$-tocopherol, and roasted peanuts contained $109.2{\mu}g/g$ of $\alpha$-tocopherol.