• Title/Summary/Keyword: Simultaneous equation

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Estimation of Individual Tree Volumes for the Japanese Red Cedar Plantations (삼나무조림지(造林地)의 입목(立木) 간재적(幹材積) 추정(推定)에 관(關)한 연구(硏究))

  • Lee, Young Jin;Hong, Sung Cheon;Kim, Dong Geun;Oh, Seung Hwan;Kim, Own Su;Cho, Jeong Ung
    • Journal of Korean Society of Forest Science
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    • v.90 no.6
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    • pp.742-746
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    • 2001
  • This study was carried out to develop volume equations for Japanese Res Cedar(Cryptomeria japonica D. Don) trees which were widely planted from 1920s throughout the southern regions in south Korea. The 31 trees for stem analysis were selected in 6 different sites in the southern and 29 trees data were used for developing volume equation. The best equation in estimating Japanese Red Cedar trees's volume was suggested as $V=-0.002908+0.000125D^{1.907114}H^{0.645131}$. The simultaneous F-test for this equation revealed that the estimated individual tree volume was not significantly different (p=0.1936) from the observed tree volume for model evaluation. Therefore, this individual tree volume prediction equation could provide basic information for the construction of yield table and forest management.

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Diagnosing the stability for the model of a system of equations (모형체계의 안정성 진단)

  • 김태호;김영권;한정혜
    • The Korean Journal of Applied Statistics
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    • v.11 no.1
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    • pp.65-81
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    • 1998
  • Simultaneous equation models, increasingly used in many detailed analyses, tend to get larger and more sophisticated to describe the structure of the study area to be close to the actual situations. In setting up such a system of equations, statistical results and simulation performance of the model as a whole may be meaningless and unrepresentative of the real world due to a structural instability that is built into the model when the equations are combined and solved simultaneously. Even though the use and subsequent analysis of an unstable system are likely to mislead us, most of the studies that take the simultaneous equation approaches neglect such a serious problem. Thus it is necessary to illustrate how to check the stability problem and apply to the actual model, then investigate how such as analysis is able to provide useful information about the structural characteristics of the model from the dynamic viewpoint.

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Adjusting Equation Method (or Relaxation Equation Method) and its Application to the Influence Line Analysis of Continuous Beams (조정방정식법(調整方程式法)(혹은 이완방정식법(弛緩方程式法))과 연속량(連續梁)에의 응용(應用))

  • Cho, Hyun Yung;Kim, Mi Ock
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.3
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    • pp.487-493
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    • 1994
  • Moment distribution procedure in the elastic analysis of rigid frames can be easily expressed with the adjusting moment equations(or relaxation equations) by using the concept of total adjusting moment at each joint after infinite cycles of moment distribution. Adjusting moment equations are a set of simultaneous equations from which the total adjusting moments at each joints after infinite cycles of physical relaxation can be determined. The form of simultaneous equations is a kind of relaxation equations and can be easily solved by the hand calculators. A unique and simplified procedure for the influence line analysis of a continuous beam is presented as an application of the method.

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Simultaneous Effect between eWOM and Revenues: Korea Movie Industry (온라인 구전과 영화 매출 간 상호영향에 관한 연구: 한국 영화 산업을 중심으로)

  • Bae, Jungho;Shim, Bum Jun;Kim, Byung-Do
    • Asia Marketing Journal
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    • v.12 no.2
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    • pp.1-25
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    • 2010
  • Motion pictures are so typical experience goods that consumers tend to look for more credible information. Hence, movie audiences consider movie viewers' reviews more important than the information provided by the film distributor. Recently many portal sites allow consumers to post their reviews and opinions so that other people check the number of consumer reviews and scores before going to the theater. There are a few previous researches studying the electronic word of mouth(eWOM) effect in the movie industry. They found that the volume of eWOM influenced the revenue of the movie significantly but the valence of eWOM did not affect it much (Liu 2006). The goal of our research is also to investigate the eWOM effects in general. But our research is different from the previous studies in several aspects. First, we study the eWOM effect in Korean movie industry. In other words, we would like to check whether we can generalize the results of the previous research across countries. The similar econometric models are applied to Korean movie data that include 746,282 consumer reviews on 439 movies. Our results show that both the valence(RATING) and the volume(LNMSG) of the eWOM influence weekly movie revenues. This result is different from the previous research findings that the volume only influences the revenue. We conjectured that the difference of self construal between Asian and American culture may explain this difference (Kitayama 1991). Asians including Koreans have more interdependent self construal than American, so that they are easily affected by other people's thought and suggestion. Hence, the valence of the eWOM affects Koreans' choice of the movie. Second, we find the critical defect of the previous eWOM models and, hence, attempt to correct it. The previous eWOM model assumes that the volume of eWOM (LNMSG) is an independent variable affecting the movie revenue (LNREV). However, the revenue can influence the volume of the eWOM. We think that treating the volume of eWOM as an independent variable a priori is too restrictive. In order to remedy this problem, we employed a simultaneous equation in which the movie revenue and the volume of the eWOM can affect each other. That is, our eWOM model assumes that the revenue (LNREV) and the volume of eWOM (LNMSG) have endogenous relationship where they influence each other. The results from this simultaneous equation model showed that the movie revenue and the eWOM volume interact each other. The movie revenue influences the eWOM volume for the entire 8 weeks. The reverse effect is more complex. Both the volume and the valence of eWOM affect the revenue in the first week, but only the volume affect the revenue for the rest of the weeks. In the first week, consumers may be curious about the movie and look for various kinds of information they can trust, so that they use the both the quantity and quality of consumer reviews. But from the second week, the quality of the eWOM only affects the movie revenue, implying that the review ratings are more important than the number of reviews. Third, our results show that the ratings by professional critics (CRATING) had negative effect to the weekly movie revenue (LNREV). Professional critics often give low ratings to the blockbuster movies that do not have much cinematic quality. Experienced audiences who watch the movie for fun do not trust the professionals' ratings and, hence, tend to go for the low-rated movies by them. In summary, applied to the Korean movie ratings data and employing a simultaneous model, our results are different from the previous eWOM studies: 1) Koreans (or Asians) care about the others' evaluation quality more than quantity, 2) The volume of eWOM is not the cause but the result of the revenue, 3) Professional reviews can give the negative effect to the movie revenue.

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4-stroke 디젤엔진의 성능예측에 관한 연구

  • 오태식;오세종;양재신
    • Journal of the korean Society of Automotive Engineers
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    • v.4 no.2
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    • pp.58-68
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    • 1982
  • It is well known to diesel engineers that the heat release pattern is one of the most important factors affecting engine performance. Thorough research in heat release pattern has materially helped the progress in high-speed diesel engine development . This paper is based on the research conducted at KAIST and Daewoo Heavy Industry last year. The purpose of this paper is to determine the heat release pattern in combustion chamber of MAN M type, the famous low-noise engine. Thermodynamic cycle simulation was performed using Whitehous-Way's heat release pattern with modified coefficients and Annand's heat transfer model. Instantaneous temperature and pressure of gas in cylinder could be determined by the numerical solution of simultaneous equation of mass conservation, equation of energy conservation, and state equation of ideal gas. Calculated results were compared with measured values in some details emphasizing upon the factors affecting rate of heat release. The agreement was fairly good and revealed why M type should have lower burning velocity at the early part of combustion in spite of high injection rate. Additional results by parametric studies were given in relation to fuel injection conditions for further application to engine development.

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An efficient method to predict the radiated pressure field from a vibrating structure (구조물의 방사음장을 계산하는 효율적인 방법)

  • 최성훈
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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    • pp.1078-1082
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    • 2001
  • An alternative formulation of the Helmholtz integral equation is derived to express the pressure field explicitly in terms of the velocity vector of a radiating surface. This formulation, derived for arbitrary sources, is similar in form to the Rayleigh's formula for planar sources. Because the pressure field is expressed explicitly as a surface integral of the particle velocity, which can be implemented numerically using standard Gaussian quadratures, there is no need to use Boundary element method to solve a set of simultaneous equations for the surface pressure at the discretized nodes. Furthermore the non-uniqueness problem inherent in methods based on Helmholtz integral equation is avoided. Validation of this formulation is demonstrated for some simple geometries.

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Empirical Study of Dynamic Corporate Governance: New Evidence from Chinese-listed SMEs

  • Shao, Lin;Yu, Xiaohong
    • The Journal of Industrial Distribution & Business
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    • v.6 no.4
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    • pp.27-37
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    • 2015
  • Purpose - This study first explores the possible dynamic relationship between ownership structure and firm performance using a panel of 4,900 Chinese-listed small- and medium-sized enterprises (SMEs) from 1999 to 2012. Research design, data, and methodology - We address this issue through a dynamic panel model using a method of moments (GMM) technique and dynamic simultaneous equations to alleviate the potential endogenous problem: unobserved heterogeneity, simultaneity, and dynamic endogeneity. Results - Under the framework of dynamic endogeneity, firm performance has a significantly positive influence on ownership, but not vice versa. Ownership and performance can be explained by their owned lagged values, respectively. Moreover, intertemporal endogeneity exists among ownership, investment, and performance through the application of system dynamic equations, which implies that the relationship among ownership structure, investment, and firm performance is dynamic by nature. Conclusions - This study also significantly contributes to a better understanding of dynamic corporate governance by providing further empirical evidence from the largest capital market in the Asian region.

Numerical Simulation of Acoustic Radiation and Fluid/Structure Interaction Based on the Helmholtz Integral Equation (헬름홀쯔 적분 방정식에 기반을 둔 구조물의 음향방사 및 구조/음향 연성 수치해석)

  • Choi, Sung-Hoon
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.8
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    • pp.411-417
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    • 2008
  • An alternative formulation of the Helmholtz integral equation derived to express the pressure field explicitly in terms of the velocity vector of a radiating surface is used to solve acoustic radiation and fluid/structure interaction problems. This formulation, derived for arbitrary sources, is similar in form to the Rayleigh's formula for planar sources. Because the surface pressure field is expressed explicitly as a surface integral of the surface velocity, which can be implemented numerically using standard Gaussian quadratures, there is no need to use BEM to solve a set of simultaneous equations for the surface pressure at the discretized nodes. Furthermore the non-uniqueness problem inherent in methods based on Helmholtz integral equation is avoided. Validation of this formulation is demonstrated for some simple geometries.

An Exploration on Individual Giving and Volunteering : Focus on the Relationship with Trust (기부 및 자원봉사와 신뢰의 관계에 관한 연구 : Simultaneous Equation Model을 이용한 분석)

  • Kang, Chul-Hee
    • Korean Journal of Social Welfare
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    • v.59 no.3
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    • pp.5-32
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    • 2007
  • Using a national survey data conducted by the Beautiful Foundation, this study attempts to examine the bilateral relationships between philanthropic effort and social trust and between volunteering effort and social trust by using simultaneous equation model. This study also attempts to examine the socialization effect and intergenerational effect of philanthropy and volunteering in family, school, and community. This study found that both philanthropic effort and volunteering effort have a bilateral relationship with social trust. The bilateral relationship between giving and volunteering and social trust suggests that not only can social trust affect the increase of giving and volunteering but giving and volunteering can also influence social trust. Thus, by strengthening trust and facilitating giving and volunteering, we can construct and promote culture of sharing in our society. On the other hand, in the analysis on individual's educational experience in giving and volunteering during school years and individual's family experience (parental practice) in giving and volunteering during school years, it was found that family experience was statistically significant on philanthropic effort and volunteering effort. The result suggests that considering the validity of intergenerational effect in giving and volunteering, it is strategically vital for our society to facilitate and promote family practice in giving and volunteering throughout diverse programs and social marketing. Although this study has a limitation due to the limitedness of the original data, it made a significant contribution to advancing knowledge on the relationship between giving and volunteering and social trust by using elaborate analysis methods. This study emphasizes the necessity of continuous research; more advanced and systematic study based on a more elaborate model and solid data such panel data should be continued for a better understanding of philanthropic and volunteering behavior that can be an important soil for the development of nonprofit human service organizations. Finally, based on the results of the study, this study discusses research directions and practical implications to deepen and broaden the culture of sharing in Korea.

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Word problem solving of simultaneous equations by 5th and 6th grade students (5.6학년 학생들의 이원일차연립방정식 형태의 문장제 해결 과정 분석)

  • Yun, Min-Ji;Pang, Jeong-Suk
    • Communications of Mathematical Education
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    • v.23 no.3
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    • pp.761-783
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    • 2009
  • Problem solving ability can be fostered by dealing with many different types of problems. We investigated how $5^{th}$ and $6^{th}$ graders who did not learn traditional algebraic methods might approach the word problems of simultaneous equations. This result reveals that the strategy of guess-and-check serves as a basis for elementary school students in solving simultaneous equations. A noticeable remark is that students used the guess-and-check strategy in various ways. Whereas some students changed a variable given in the problem step by step, others did in a sophisticated way focusing on the relation between two variables. Moreover, some students were able to write an equation which was not typical but meaningful and correct. This paper emphasizes the need of connections between pre-algebraic and algebraic solutions.

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