• Title/Summary/Keyword: Complex variable methods

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EXISTENCE OF POLYNOMIAL INTEGRATING FACTORS

  • Stallworth, Daniel T.;Roush, Fred W.
    • Kyungpook Mathematical Journal
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    • v.28 no.2
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    • pp.185-196
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    • 1988
  • We study existence of polynomial integrating factors and solutions F(x, y)=c of first order nonlinear differential equations. We characterize the homogeneous case, and give algorithms for finding existence of and a basis for polynomial solutions of linear difference and differential equations and rational solutions or linear differential equations with polynomial coefficients. We relate singularities to nature of the solution. Solution of differential equations in closed form to some degree might be called more an art than a science: The investigator can try a number of methods and for a number of classes of equations these methods always work. In particular integrating factors are tricky to find. An analogous but simpler situation exists for integrating inclosed form, where for instance there exists a criterion for when an exponential integral can be found in closed form. In this paper we make a beginning in several directions on these problems, for 2 variable ordinary differential equations. The case of exact differentials reduces immediately to quadrature. The next step is perhaps that of a polynomial integrating factor, our main study. Here we are able to provide necessary conditions based on related homogeneous equations which probably suffice to decide existence in most cases. As part of our investigations we provide complete algorithms for existence of and finding a basis for polynomial solutions of linear differential and difference equations with polynomial coefficients, also rational solutions for such differential equations. Our goal would be a method for decidability of whether any differential equation Mdx+Mdy=0 with polynomial M, N has algebraic solutions(or an undecidability proof). We reduce the question of all solutions algebraic to singularities but have not yet found a definite procedure to find their type. We begin with general results on the set of all polynomial solutions and integrating factors. Consider a differential equation Mdx+Ndy where M, N are nonreal polynomials in x, y with no common factor. When does there exist an integrating factor u which is (i) polynomial (ii) rational? In case (i) the solution F(x, y)=c will be a polynomial. We assume all functions here are complex analytic polynomial in some open set.

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A Study on the Efficient Optimization Method by Coupling Genetic Algorithm and Direct Search Method (유전적 알고리즘과 직접탐색법의 결합에 의한 효율적인 최적화방법에 관한 연구)

  • D.K. Lee;S.J. Jeong;S.Y. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.3
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    • pp.12-18
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    • 1994
  • Optimization in the engineering design is to select the best of many possible design alternatives in a complex design space. In order to optimize, various optimization methods have been used. One major problem of traditional optimization methods is that they often result in local optima. Recently genetic algorithm based on the mechanics of natural selection and natural genetics is used in many application fields for optimization. Genetic algorithm is more powerful to local optima, but it requires more calculation time and has difficulties in finding exact optimum point in design variable with real data type generally. In this paper. hybrid method was developed by coupling genetic algorithm and traditional direct search method. The developed method finds out a region for global optimum using genetic algorithm, and is to search global optimum using direct search method based on results obtained from genetic algorithm. By using hybrid method, calculation time is reduced and search efficient for optimum point is increased.

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Methodology and Guidelines for Selecting Measurement Boundaries and Influence Variables for Analyzing and Evaluating Energy Usage in Demonstration ESS-Based Distribution and Logistics Facilities (실증 ESS 기반 유통 물류시설의 에너지 사용량 분석 및 평가를 위한 측정경계와 영향변수 선정 방법론 및 가이드라인)

  • Jung, Kicheol;Kwon, Dongmyung;Choi, Okhwan;Go, Myungchan
    • Journal of Energy Engineering
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    • v.29 no.2
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    • pp.61-67
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    • 2020
  • ESS-based buildings are being widely studied as an effective methods for saving energy with ZEB, BEMS, and FEMS. However, in large scale buildings, there are many energy-consuming facilities, so it is necessary to identify important energy-consuming facilities to build a real-time measurement system. In addition, there are a myriad of factors that affect the dependent variable of energy use, therefore there is a limitation that effective energy management is difficult. Therefore, this study applied the measurement boundary setting methodology according to the energy supply status through due diligence for the demonstration ESS distribution logistics facility, and suggested the methodolgy for presenting priority for the construction of the measurement system. Afterwards, the impact variables that Acting as an independent variable affecting the energy consumption of the distribution and logistics facilities were categorized into intrinsic and meteorological variables. Lastly, all factors that could affect the energy consumption of the actual distribution and logistics facilities, were classified and presented as guidelines list. By applying the results of this study, it is possible to build a monitoring system at a low cost and high efficiency in a distribution and logistics facility with a complex structure. And by identifying the main independent variables for the measured energy consumption, effectively identifying trends in energy consumption and deriving saving points It is expected to be able to operate the ESS-based infrastructure.

The Effects Of Structured Methods On Object Orientation : A Knowledge Interference Prospective (구조지향 방법론이 객체지향 방법론에 미치는 영향 : 지식간섭의 관점에서)

  • Kim, In-Jai;Jeong, Duke-Hoon
    • The KIPS Transactions:PartD
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    • v.9D no.5
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    • pp.859-864
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    • 2002
  • The life cycle of new information technologies is getting shorter, and the technologies are becoming more complex and difficult to understand. The need to better understand adoption of object orientation motivates this paper. Adoption of object orientation should certainly be influenced by prior software process technologies, such as the process-oriented structured methods, because object orientation is considered to be a paradigm shift from conventional software process technologies. This study aims to empirically analyze knowledge interference of the structured methods with object orientation. A two factorial quasi-experimental design is set forth. The period of experience using the structured methods and the period of experience using object orientation are selected as two independent variables, and the perceived ease of use is chosen as one dependent variable. Data are gathered from active members of Data Processing Management Association (DPMA), who have experiences in using both the structured methods and object orientation. The final results empirically show that previous experience using the structured methods negatively influences the perception of using object orientation that is one of critical factors to technology adoption. It is suggested here that a future study dealing with the same research topic in other countries will provide new insights about comparative studies.

The Study on the Economic Appraisal of Fishing Port Investments (어항투자사업의 경제성 평가에 관한 연구)

  • 정형찬
    • The Journal of Fisheries Business Administration
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    • v.14 no.2
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    • pp.15-68
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    • 1983
  • From the economic point of view the fishing port is the complex of installations on land, organized to serve the fishing fleet and its cargo, and is the main link in the production chain of all components of the fishing industry, with the aim of achieving the planned targets with the minimum cost. Fishing port investment decisions have had significant impact on the development aims of Korean fisheries. Fishing port investments in Korea are made mostly by public or semipublic port authorities. Such investments should be judged not purely on the basis of financial profitability but rather on the extent to which they serve the development aims of the fishing industry. This makes the economic appraisal process more complex and presents certain problems in correctly quantifying the economic costs and benefits of the fishing port projects. This study concentrates more on the theoretical economic appraisal models than on the purely financial aspects of fishing port investments and points out the difference between the two approaches. In the result, there is clearly an element of judgment as to whether or not a shadow price needs to be used in estimating economic benefits and costs. From this viewpoint, some attempts are made to provide definitions of the possible economic benefits and costs, and methods for estimating and evaluating them in Part III and IV. Especially queueing theory is applied in the calculation of economic benefits. When a project is contemplated and analysis shows it to Lave a positive NPV, one question that arises is whether it should be implemented now or delayed. In this paper, the first year rate of return method is regarded as a more concise way of solving the timing of investment, At the end of Part IV, risk analysis of fishing port investments is considered. It can be handled in a number of ways, ranging from informal judgment to complex statistical analyses involving large-scale computer models, This paper recommends that evaluators of fishing port investments use the sensitivity analysis indicating exactly how much NPV will change in response to a given change in an input variable, other things held constant. Decisions regarding the amount of capacity to provide must be made in fishing port investments. Providing too much service would involve excessive capital costs. On the other hand, not providing enough service capacity would cause the waiting line of fishing vessels to become excessively long at times. Therefore, in Part V, the optimal number of berths and berth productivity in fishing port are defined as follows: Minimize E(TC) = E(WC)+E(SC) The minimum of this function is the solution and that is the optimal number of berth and berth productivity in fishing port.

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In Vivo H-1 MR Spectroscopy of Intracranial solid Tumors (두개강내 고형성 종양의 H-1 자기공명분광법)

  • 성수옥;장기현;한문희;연경모;한만청
    • Investigative Magnetic Resonance Imaging
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    • v.1 no.1
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    • pp.86-93
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    • 1997
  • Purpose: To assess the ability of in vivo H-1 MRS to determine the degree of malignancy and to characterize the histopathologic type of intracranial solid tumors. Materials and Methods: In vivo H-1 MR spectra of the pathologically-proven 81 intracranial soild tumors (low-grade glioma 17 cases, high-grade glioma 31 cases, lymphoma 9 cases, meningioma 8 cases, central neurocytoma 4 cases, medulloblastoma 3 cases, PNET 3 cases, metastasis 2 cases, others 4 cases) were analyzed. H-1 MR spectroscopy was performed on a 1.5T MR unit using PRESS sequence with a TR of 2000ms, a TE of 270 or 135ms and a voxel size of $2{\times}2{\times}2cm^3$ for all spectra. N-acetyl aspartate (NAA)/Creatine complex(Cr), Choline complex (Cho)/Cr, and lactate (Lac)/Cr ratios were measured on the peak heights of each resonance and compared among the different tumors. Results: All intracranial solid tumors demonstrated decreased NAA, elevated Cho and lactate, and variable Cr levels. All tumors showed increased Cho/Cr and Lac/Cr, whereas NAA/Cr level was decreased. Mean Cho/Cr and Lac/Cr ratios were significantly higher in high-grade gliomas than in low-grade gliomas. However, NAA/Cr ratio showed no significant difference between low-grade and high-grade gliomas. Very high Cho peaks were seen in lymphomas, meningiomas, medulloblastomas, and neurocytomas in addition to high-grade gliomas. Conclusion: H-1 MRS may be useful in differentiating between low-grade and high-grade gliomas, however cannot characterize the histologic types or subtypes of tumors.

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Effect of Residential Environment on the Health Status in Apartment Inhabitants (아파트 주민의 건강상태에 거주 환경이 미치는 영향)

  • Kang, Ki-Won;Kim, Hwa-Joon;Kwon, Geun-Yong;Jung, Min-Soo
    • Journal of agricultural medicine and community health
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    • v.34 no.3
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    • pp.279-290
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    • 2009
  • Objectives: WHO insisted on that we should study about association between residential environment and health status and make 'health city' concept as practical motto. This study analyzed about that how community environment affected their health. Methods: We surveyed residential environment satisfaction and health status of a apartment complex residents. We transformed Chun's index about housing environment study and social capital index of WHO and used as community health survey. We analyzed the association between health status and related factor by using principal compound analysis and logistic regression analysis. Results: We found out that the perceived health status 1 years ago was highly related to the residential environment and also extracted five residential environment component (APT maintenance, House, APT complex, Neighbor, APT building) by principal component analysis. After residential environment component, demographic and socioeconomic variable were controlled, the high satisfaction group of APT complex and neighbor relationship was in lower risk of perceived health status 1 years ago than the low satisfaction group. Conclusions: Recently, the importance of residential environment and neighborhood is shaped as community capacity. Therefore, social relationship and residential environment should be the core variable for health promotion of community. After all, we should know the relationship of residential environment and perceived health status 1 years ago. This helps the concept of health city clearly.

An Efficient Diagnosis Algorithm for Multiple Stuck-at Faults (다중 고착 고장을 위한 효율적인 고장 진단 알고리듬)

  • Lim Yo-Seop;Lee Joo-Hwan;Kang Sung-Ho
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.43 no.9 s.351
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    • pp.59-63
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    • 2006
  • With the increasing complexity of VLSI devices, more complex faults have appeared. Many methods for diagnosing the single stuck-at fault have been studied. Often multiple defects on a foiling chip better reflect the reality. So, we propose an efficient diagnosis algorithm for multiple stuck-at faults. By using vectorwise intersections as an important metric of diagnosis, the proposed algorithm can diagnose multiple defects using single stuck-at fault simulator. In spite of multiple fault diagnosis, the number of candidate faults is also drastically reduced. For fault identification, positive calculations and negative calculations based on variable weights are used for the matching algorithm. Experimental results for ISCAS85 and full-scan version of ISCAS89 benchmark circuits prove the efficiency of the proposed algorithm.

Superficial temporal artery flap for reconstruction of complex facial defects: A new algorithm

  • Elbanoby, Tarek M.;Zidan, Serag M.;Elbatawy, Amr M.;Aly, Gaber M.;Sholkamy, Khallad
    • Archives of Plastic Surgery
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    • v.45 no.2
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    • pp.118-127
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    • 2018
  • Background A variety of island flaps can be based on the superficial temporal artery with variable tissue composition. They can be used for defect reconstruction, cavity resurfacing, facial hair restoration, or contracture release. Methods Seventy-two patients underwent facial reconstruction using a superficial temporal artery island flap from October 2010 to October 2014. The defects had various etiologies, including trauma, burns, tumors, exposed hardware, and congenital causes. We classified the patients by indication into 5 groups: cavity resurfacing, contracture release, facial hair restoration, skin coverage, and combined. The demographic data of the patients, defect characteristics, operative procedures, postoperative results, and complications were retrospectively documented. The follow-up period ranged from 24 to 54 months. Results A total of 24 females and 48 males were included in this study. The mean age of the patients was $33.7{\pm}15.6years$. The flaps were used for contracture release in 13 cases, cavity resurfacing in 10 cases, skin coverage in 17 cases, facial hair restoration in 19 cases, and combined defects in 13 cases. No major complications were reported. Conclusions Based on our experiences with the use of superficial temporal artery island flaps, we have developed a detailed approach for the optimal management of patients with composite facial defects. The aim of this article is to provide the reader with a systematic algorithm to use for such patients.

Numerical Simulation of Flow and Heat Transfer Characteristics of Impinging Jet Using $k-{\varepsilon}-{\overline{v^{'2}}}$ Model ($k-{\varepsilon}-{\overline{v^{'2}}}$난류 모델을 이용한 충돌 제트의 유동 및 열전달 특성에 관한 수치해석적 연구)

  • Choi, Bum-Ho;Lee, Jung-Hee;Choi, Young-Ki
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.2
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    • pp.204-213
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    • 2000
  • This study deals with jet impingement, which is extensively used in the process industries to achieve intense heating, cooling or drying rates and also widely employed as a test flow for turbulent models due to its complex flow configuration, on a flat plate by numerical methods. In this calculation, the finite volume method was employed to solve the Navier-stokes equation based on the non-orthogonal coordinate with non-staggered variable arrangement. To get a better understanding for the fluid flow and heat transfer characteristics of the turbulent jet impingements, $k-{\varepsilon}-{\overline{v^{'2}}}$ turbulent model was adapted and compared with the experimental data and the result of standard $k-{\varepsilon}$ turbulent model. Numerical calculations were carried out with various flow rates, nozzle to plate distances. In the case of the axisymmetric jet impingement on a flat plate, $k-{\varepsilon}-{\overline{v^{'2}}}$ turbulent model showed better agreement with the experimental data than the standard $k-{\varepsilon}$ turbulent model in the prediction of the mean velocity profiles, the turbulent velocity profiles. the turbulent shear stress and the heat transfer rate. The highest heat transfer rate can be obtained when the impingement occurs within the potential core..