• Title/Summary/Keyword: normal form

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Estimation of anthropometric body dimensions and joint strengths of a worker performing manual materials handling tasks using a multivariate normal simulation model (다변량 정규분포 모의모형을 이용한 물자운반작업을 수행하는 작업자의 인체 치수 및 관절염력의 예측에 관한 연구)

  • 변승남
    • Journal of the Ergonomics Society of Korea
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    • v.12 no.2
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    • pp.63-83
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    • 1993
  • The primary objective of the research is to develop a mathematical method to incorporate the variability of anthropometric body dimensions and joint strengths of individuals in a biomechanical analysis. A multivariate normal simulation model estimated anthropometric body dimensions and joint strengths of the random link-person, based on the assumptions that the vari- ables of body dimensions and joint strengths are correlated and follow normal distributions. Statistical comparative analysis demonstrated that the random link-person represented a more realistic human-like form in an anthropometric sense than the proportional link-person whose body dimensions were estimated proportionally. Estimated joint strengths for the random link-person, however, did not match the measured joint strengths as closely as the estimated body dimensions. The random link-person will allow biomechanical analysis of manual materials handling tasks to be individualized with respect to the anthropometry and a static strength.

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A Study on the Relationship between the Chatter Occurrence and Wheel life (채터 발생과 숫돌 수명과의 연관성에 관한연구)

  • Lee, S.T.;Kim, N.K.;Kim, C.S.;Jung, Y.G.
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.1 no.1
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    • pp.117-122
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    • 2002
  • The chatter to raise grinding operating is reduce the precision and the quality. In this study, In reply to AE signal and the normal force generated in the grinding operating were measured (1) the amplitude in the mathematical model of the normal force is the form as to transform an exponential (2) the chatter growth is minus point of an exponent. (3) From the observed wheel aspect after the chatter growth, it was to investigated the concern of the chatter growth and the wheel life.

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Study on Enumerating the Degree of Similarity in Pairs of the Stnadardized Scores and Lower and Upper tail Probabilites using the Folded Normal Distribution (동형고사에서 표준점수차의 확률분포를 이용한 상사성의 측정과 평가치 산정에 관한 연구)

  • 홍석강
    • The Mathematical Education
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    • v.39 no.2
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    • pp.167-177
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    • 2000
  • In this thesis we concerned with the degree of similarity in pairs of scores having a common mean and variance could express similarity in terms of the absolute difference between the standardized scores. We particulary discussed the distribution of absolute differences between pairs of T scores among many standardized scores and demonstrated the procedures for calculating the lower limit of Med(│d│) values i. e. the maximum possible similarity with medians and correlation coefficients of the equivalent form tests by using the folded normal distribution, although other researchers expressed the degree of similarity using only the standard normal distribution. We also described many cases how to use those techniques and to apply effectively them in real evaluation fields.

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Small Sample Asymptotic Distribution for the Sum of Product of Normal Variables with Application to FSK Communication (곱 정규확률변수의 합에 대한 소표본 점근분표와 FSK 통신에의 응용)

  • Na, Jong-Hwa;Kim, Jung-Mi
    • The Korean Journal of Applied Statistics
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    • v.22 no.1
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    • pp.171-179
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    • 2009
  • In this paper we studied the effective approximations to the distribution of the sum of products of normal variables. Based on the saddlepoint approximations to the quadratic forms, the suggested approximations are very accurate and easy to use. Applications to the FSK (Frequency Shift Keying) communication are also considered.

A Study on Error Verification of STL Format for Rapid Prototyping System (급속조형 시스템을 위한 STL 포맷의 오류 검증에 관한 연구)

  • Park, H.T.;Lee, S.H.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.10
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    • pp.46-55
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    • 1996
  • As industrial standard data, the STL format which approximates three dimensional CAD model to triangular facets, is used for RP(Rapid Prototyping) system in recent days. Because most RP system take the only form of two dimensional line segments as an input stream inspite of its imperfectness while converting into STL format, a CAD model is converted into a standard industrial format which is composed of many triangular facets. The error verifying process is composed of four main steps, and these are 1) Remove facets with two or more vertices equal to each other. 2) Fix overlapping error such as more than three facets adjacent to anedge. 3) Fill holes in the mesh by using Delaunay triangulation method. 4) Correct the wrong direction and normal vectors. This paper is concerned with serching the mentioned errors in advance and modifying them.

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Identification of optimum sites for power system controller using normal forms of vector field (Normal form을 이용한 제어기 설치 위치 선정방법)

  • Lee, In-Soo;Jang, Gil-Soo;Kwon, Sae-Hyuk;Lee, Byong-Jun
    • Proceedings of the KIEE Conference
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    • 2000.11a
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    • pp.39-42
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    • 2000
  • In stressed power system, due to the presence of increased nonlinearity and the existence of nonlinear modal interactions, there exist some limitations to the use of conventional linear system theory to identify the optimum sites for controller. This paper proposes an approach to identify the optimum sites for controller using the method of normal forms. In this paper nonlinear participation factor and coupling factor are proposed as a measures of identification of optimum sites for controller and a selection procedure is also proposed. The proposed procedure is applied to the 10-generator New England System and the KEPCO System in the year of 2010 to illustrate its capabilities.

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CLASSIFICATION OF NONOSCILLATORY SOLUTIONS OF SECOND ORDER SELF-ADJOINT NEUTRAL DIFFERENCE EQUATIONS

  • Liu, Yujun;Liu, Zahaoshuang;Zhang, Zhenguo
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.237-249
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    • 2004
  • Consider the second order self-adjoint neutral difference equation of form $\Delta(a_n$\mid$\Delta(x_n\;-\;{p_n}{x_{{\tau}_n}}$\mid$^{\alpha}sgn{\Delta}(x_n\;-\;{p_n}{x_{{\tau}_n}}\;+\;f(n,\;{x_{g_n}}\;=\;0$. In this paper, we will give the classification of nonoscillatory solutions of the above equation; and by the fixed point theorem, we present some existence results for some kinds of nonoscillatory solutions of the equation.

Box-Cox Power Transformation Using R

  • Baek, Hoh Yoo
    • Journal of Integrative Natural Science
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    • v.13 no.2
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    • pp.76-82
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    • 2020
  • If normality of an observed data is not a viable assumption, we can carry out normal-theory analyses by suitable transforming data. Power transformation by Box and Cox, one of the transformation methods, is derived the power which maximized the likelihood function. But it doesn't induces the closed form in mathematical analysis. In this paper, we compose some R the syntax of which is easier than other statistical packages for deriving the power with using numerical methods. Also, by using R, we show the transformed data approximately distributed the normal through Q-Q plot in univariate and bivariate cases with some examples. Finally, we present the value of a goodness-of-fit statistic(AD) and its p-value for normal distribution. In the similar procedure, this method can be extended to more than bivariate case.

Studies on the Normal Frequency and Effects of X-irradiation on Sex Chromatin of Neutrophil Leukocyte in the Rabbit (가토의 호중성백혈구 성염색질의 정상빈도와 X선조사에 대하여)

  • PARK, Tae-Kyu;KIM, Moo-Yun
    • The Korean Journal of Zoology
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    • v.9 no.1
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    • pp.16-20
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    • 1966
  • The frequency of sex chromatin in neutrophil leukocyte of 14 female and 4 male normal, adult rabbits was examined and compared to those of single total X-ray irradiation. 1. The average frequency of of drumstck was 9 % in female and 0.1% in male, and that of sessile nodule was 3.35% in female and 0.9% in male , in normal condition rabbit . These results fairly determined sex ratio by sex chromatin in neutrophil leukocyte. 2. The drumstick frequency reduces to half after X-irradiaton but did not show any regular tendency or variation in morphologicla form, indicating the stability of chromatin to X-irradiation. 4. The chromatin satellite was found with a reasonable frequency in the some kinds of irradiated cells, polymorphonuclear neutrophil (above 7 lobes 0 and megakarycyte.

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Bayesian Multiple Comparison of Normal Populations based on Bayes Factor

  • Kang, Sang-Gil;Lee, Chang-Soon
    • Journal of Korea Society of Industrial Information Systems
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    • v.7 no.1
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    • pp.42-49
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    • 2002
  • In this paper, we develop the Bayesian multiple comparison procedure for the normal model. The procedure which we suggest is based on the fractional Bayes factor of O'Hagan (1995). We apply our procedure to normal populations, when noninformative prior is assumed to the model parameters. We derive explicit form of Bayes Factors when the number of populations is greater than 3. A famous data is analyzed by the proposed procedure. For this example, the suggested method is straightforward for specifying distributionally and to implement computationally, with output readily adapted for required comparison.

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