• Title/Summary/Keyword: Inequality Theory

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VARIATIONAL APPROACH AND THE NUMBER OF THE NONTRIVIAL PERIODIC SOLUTIONS FOR A CLASS OF THE SYSTEM OF THE NONTRIVIAL SUSPENSION BRIDGE EQUATIONS

  • Jung, Tack-Sun;Choi, Q-Heung
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제16권2호
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    • pp.199-212
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    • 2009
  • We investigate the multiplicity of the nontrivial periodic solutions for a class of the system of the nonlinear suspension bridge equations with Dirichlet boundary condition and periodic condition. We show that the system has at least two nontrivial periodic solutions by the abstract version of the critical point theory on the manifold with boundary. We investigate the geometry of the sublevel sets of the corresponding functional of the system and the topology of the sublevel sets. Since the functional is strongly indefinite, we use the notion of the suitable version of the Palais-Smale condition.

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교육수준 별 혼인표의 비대칭성으로 살펴본 남녀불평등지수 (Measuring of Gender Inequality: Asymmetry of Marriage Table with respect to Educational Level)

  • 이명진
    • 한국인구학
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    • 제25권1호
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    • pp.33-50
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    • 2002
  • 본 연구는 교육수준 별 혼인표에서 나타나는 남녀 결혼의 비대칭성을 조사하여 남녀불평등 정도를 측정하고자 한다. 연구의 기본가정은 남녀간의 불평등이 존재할때는 남자가 결혼하는 유형과 여자가 결혼하는 유형이 다르다는 것이다. 남녀불평 등 정도가 큰 사회에서는 여자의 지위가 남자의 지위에 비해 높다는 사실을 받아들이기가 상대적으로 더 힘들다. 구체적인 연구의 목적은 혼인표의 비대칭성을 측정하기 위한 통계모형과 지수를 개발하는 것이다. 아울러 국가별로 다르게 나타나는 남녀불평등지수의 차이에 미친 원인을 찾아보고자 한다. 이 분야에서 남녀불평등정도의 차이에 관한 중요한 이론으로 논의되는 두 가지 이론은 산업화론과 정치 /문화이론이다. 이러한 연구목적을 위해 27여개의 교육수준일 혼인표가 분석되었다. 가설검증과 같은 방법으로 엄격하게 이론의 타당성을 살펴본 것은 아니지만, 분석결과를 통해서 몇 가지 시사점을 찾아볼 수 있다. 첫째, 상대적으로 덜 산업화된 국가들에 비해. 산업화가 많이 진척된 나라일수록 남녀불평등의 정도가 작다. 둘째. 다른 조건이 같다면, 정치제도가 선택결혼의 정도에 영향을 미친다. 셋째. 이러한 정치적인 요인뿐만 아니라 문화적인 요인도 적어도 결혼과 관련하여 남녀불평등 정도에 영향을 준 것으로 보여진다 요약하자면, 본 연구는 남녀불평등과 관련요인의 관계에 대해서 일종의 수정된 산업화이론을 시사하고 있다 즉, 대부분의 국가에서는 산업화의 진척에 따라 남녀불평등 정도가 작아진다 동시에 몇몇 국가에서는 그 나라 특유의 정치제도나 문화적 경험에 많은 영향을 받는 것으로 보인다. 이러한 결과는 산업화 정도에 따른 남녀 간 사회적 지위의 감소 등을 강조하는 기존의 이론을 부분적으로 확인하는 것이다. 동시에 단순이 산업화의 정도가 그러한 경향을 보장하는 것은 아니다라는 것을 강조하고 하고 있다.

Climate Change and Gender Inequality in Taiwan's Green Industry: Why is Female Competency Development Mattered?

  • KIM, Hae Na;HSU, Yun-Hsiang
    • 동아시아경상학회지
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    • 제10권1호
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    • pp.35-45
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    • 2022
  • Purpose - In spite of the growing importance of Taiwanese green industry, most of employees who work in this industry in Taiwan are dominated by males. Only a few females are working in this industry and their wage is lower. This research is applying role congruity theory which explains why females share only a small portion in Taiwan's green industry. This study addresses a research question, "How has the gender inequality and discrimination been reflected in the occupation structure of Taiwan's green industry? How has this gender occupation structure influenced females in the green industry?" Research design, data, and methodology - To find out the impact of gender role in the green industry, the dataset of the 2015 Taiwan Social Change Survey is used. Using STATA, t test has been implemented to address our research question with three hypotheses. Result -All of hypothesis were all supported. It is found there is a statistical difference in stereotypical thinking between female who work in the green industry and the non-green industry of Taiwan. The limited female representation in the green industry of Taiwan influences job matching and job satisfaction significantly. Conclusion - This study suggests the Taiwanese government should encourage STEM education for females and provide more relevant vocational education and training particularly for females' competency development in the green industry. By providing vocational education and training to meet the skill needs of greener economy resilient to climate change, Taiwan's green industry will grow further and will overcome gender inequality and discrimination.

선박운동제어를 위한 제어력분배 및 제어기설계에 관한 연구 (Control Allocation and Controller Design for Marine Vessel based on H Control Approach)

  • 지상원;김영복
    • 한국해양공학회지
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    • 제26권3호
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    • pp.20-25
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    • 2012
  • In this paper, the authors propose a new approach to the control problem of marine vessels that are moored or controlled by actuators. The vessel control system is basically based on Dynamic Positioning System (DPS) technology. The main object of this paper is to obtain a more useful control design method for DPS. In this problem, the control allocation is a complication. For this problem, many results have been given and verified by other researchers using a two-step process, with the controller and control allocation design processes carried out individually. In this paper, the authors provide a more sophisticated design solution for this issue. The authors propose a new design method in which the controller design and control allocation problems are considered and solved simultaneously. In other words, the system stability, control performance, and allocation problem are unified by an LMI (linear matrix inequality) based on control theory. The usefulness of the proposed approach is verified by a simulation using a supply vessel model.

Human Development Convergence and the Impact of Funds Transfer to Regions: A Dynamic Panel Data Approach

  • GINANJAR, Rah Adi Fahmi;ZAHARA, Vadilla Mutia;SUCI, Stannia Cahaya;SUHENDRA, Indra
    • The Journal of Asian Finance, Economics and Business
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    • 제7권12호
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    • pp.593-604
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    • 2020
  • This study analyzes human development convergence and the impact of funds transfer to the regions using σ and β-convergence analysis method. Observations were made in all Indonesia's provinces in the period 2010-2019. The coefficient of variation calculation shows a dispersion in the inequality of human development, which means that convergence occurred. This is also documented by the clustering analysis results developed in the study. The results are in line with the hypothesis of neoclassical theory, which shows the tendency for provinces with lower human development levels to grow relatively faster. The dynamic panel data approach with the GMM model shows that a model built with explanatory variables for transfer of funds to regions may lead to the process of convergence of human development - 2.21% per year or 31 years to cover the half-life of convergence. This is a consequence of the Special Allocation Fund and the Village Fund, which positively impact the convergence process, and the General Allocation Fund and the Revenue Sharing Fund with negative signs slowing the convergence process. This evidence opens opportunities to review the justification of the weighting component in determining the amount of funds transferred to the region to accelerate the convergence process of human development.

Time-Delayed and Quantized Fuzzy Systems: Stability Analysis and Controller Design

  • Park, Chang-Woo;Kang, Hyung-Jin;Kim, Jung-Hwan;Park, Mignon
    • Transactions on Control, Automation and Systems Engineering
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    • 제2권4호
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    • pp.274-284
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    • 2000
  • In this paper, the design methodology of digital fuzzy controller(DFC) for the systems with time-delay is presented and the qualitative effects of the quantizers in digital implementation of a fuzzy controllers are investigated. We propose the fuzzy feed-back controller whose output is delayed with unit sampling period and period and predicted. the analysis and the design problem considering time-delay become very easy because the proposed controller is syncronized with the sampling time. The stabilization problem of the digital fuzzy system with time-delay is solved by linear matrix inequality(LMI) theory. Furthermore, we analyze the stability of the quantized fuzzy system. Our results prove that when quantization os taken into account, one only has convergence to some small neighborhood about origin. We develop a fuzzy control system for backing up a computer-simulated truck-trailer with the consideration of time-delay and quantization effect. By using the proposed method, we analyze the quantization effect to the system and design a DFC which guarantees the stability of the control system in the presence of time-delay.

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오염부하량 할당에 있어서 다목적 유전알고리즘의 적용 방법에 관한 연구 (Application of multi-objective genetic algorithm for waste load allocation in a river basin)

  • 조재현
    • 환경영향평가
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    • 제22권6호
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    • pp.713-724
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    • 2013
  • In terms of waste load allocation, inequality of waste load discharge must be considered as well as economic aspects such as minimization of waste load abatement. The inequality of waste load discharge between areas was calculated with Gini coefficient and was included as one of the objective functions of the multi-objective waste load allocation. In the past, multi-objective functions were usually weighted and then transformed into a single objective optimization problem. Recently, however, due to the difficulties of applying weighting factors, multi-objective genetic algorithms (GA) that require only one execution for optimization is being developed. This study analyzes multi-objective waste load allocation using NSGA-II-aJG that applies Pareto-dominance theory and it's adaptation of jumping gene. A sensitivity analysis was conducted for the parameters that have significant influence on the solution of multi-objective GA such as population size, crossover probability, mutation probability, length of chromosome, jumping gene probability. Among the five aforementioned parameters, mutation probability turned out to be the most sensitive parameter towards the objective function of minimization of waste load abatement. Spacing and maximum spread are indexes that show the distribution and range of optimum solution, and these two values were the optimum or near optimal values for the selected parameter values to minimize waste load abatement.

DIRICHLET FORMS, DIRICHLET OPERATORS, AND LOG-SOBOLEV INEQUALITIES FOR GIBBS MEASURES OF CLASSICAL UNBOUNDED SPIN SYSTEM

  • Lim, Hye-Young;Park, Yong-Moon;Yoo, Hyun-Jae
    • 대한수학회지
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    • 제34권3호
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    • pp.731-770
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    • 1997
  • We study Diriclet forms and related subjects for the Gibbs measures of classical unbounded sping systems interacting via potentials which are superstable and regular. For any Gibbs measure $\mu$, we construct a Dirichlet form and the associated diffusion process on $L^2(\Omega, d\mu), where \Omega = (R^d)^Z^\nu$. Under appropriate conditions on the potential we show that the Dirichlet operator associated to a Gibbs measure $\mu$ is essentially self-adjoint on the space of smooth bounded cylinder functions. Under the condition of uniform log-concavity, the Gibbs measure exists uniquely and there exists a mass gap in the lower end of the spectrum of the Dirichlet operator. We also show that under the condition of uniform log-concavity, the unique Gibbs measure satisfies the log-Sobolev inequality. We utilize the general scheme of the previous works on the theory in infinite dimensional spaces developed by e.g., Albeverio, Antonjuk, Hoegh-Krohn, Kondratiev, Rockner, and Kusuoka, etc, and also use the equilibrium condition and the regularity of Gibbs measures extensively.

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Range Kernel Orthogonality and Finite Operators

  • Mecheri, Salah;Abdelatif, Toualbia
    • Kyungpook Mathematical Journal
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    • 제55권1호
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    • pp.63-71
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    • 2015
  • Let H be a separable infinite dimensional complex Hilbert space, and let $\mathcal{L}(H)$ denote the algebra of all bounded linear operators on H into itself. Let $A,B{\in}\mathcal{L}(H)$ we define the generalized derivation ${\delta}_{A,B}:\mathcal{L}(H){\mapsto}\mathcal{L}(H)$ by ${\delta}_{A,B}(X)=AX-XB$, we note ${\delta}_{A,A}={\delta}_A$. If the inequality ${\parallel}T-(AX-XA){\parallel}{\geq}{\parallel}T{\parallel}$ holds for all $X{\in}\mathcal{L}(H)$ and for all $T{\in}ker{\delta}_A$, then we say that the range of ${\delta}_A$ is orthogonal to the kernel of ${\delta}_A$ in the sense of Birkhoff. The operator $A{\in}\mathcal{L}(H)$ is said to be finite [22] if ${\parallel}I-(AX-XA){\parallel}{\geq}1(*)$ for all $X{\in}\mathcal{L}(H)$, where I is the identity operator. The well-known inequality (*), due to J. P. Williams [22] is the starting point of the topic of commutator approximation (a topic which has its roots in quantum theory [23]). In [16], the author showed that a paranormal operator is finite. In this paper we present some new classes of finite operators containing the class of paranormal operators and we prove that the range of a generalized derivation is orthogonal to its kernel for a large class of operators containing the class of normal operators.

유연한 로봇팔의 선단 위치 제어를 위한 강인한 제어기의 설계 (Robust Controller Design for Flexible Robot Arm Manipulator)

  • 신봉철;이형기;최연욱;안영주
    • 융합신호처리학회논문지
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    • 제3권2호
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    • pp.76-82
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    • 2002
  • 본 연구는 유연한 로봇팔의 선단 위치를 제어하기 위한 강인한 제어기의 설계하고 이것의 효과를 실험을 통하여 확인하는 데 있다. 이를 위해 먼저 유연한 로봇팔의 모델링을 Lagrange 방정식을 이용하여 수행하여 시스템의 수식모델을 구한 뒤, 이 모델을 기본으로 하는 강인한 제어기의 설계를 LMI(Linear Matrix Inequality)을 적용한 H$_{\infty}$이론을 도입하여 수행한다. 이 과정에서 로봇팔의 선단부하 변경으로 인한 시스템 파라미터의 변동을 플랜트가 가지는 불확실성 영역으로 간주하여 이를 설계에 적극적으로 반영함으로서 결과적으로 플랜트의 파라미터 변동에 강인한 제어기를 구현하고 이것의 유효성을 실험을 통하여 확인한다. .실험을 통하여 확인한다. .

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