• 제목/요약/키워드: Number theory

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서식처 분획화에 따른 식물군집의 크기에 관한 연구 (Study on the Size of Plant Community in Fragmented Habitats)

  • 신현탁;김용식
    • 한국환경생태학회지
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    • 제12권2호
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    • pp.147-155
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    • 1998
  • 본 연구는 서식처 분획화에 따른 식물군집의 크기를 결정하기 위해 1997년 3월부터 8월까지 경상북도 상주시, 점촌시. 경기도 안성시. 평택시, 여주시, 양평시, 충청남도 논산시. 전라북도 익산시 등 31개의 조사지역에 118개의 조사구를 조사하였다. 상관관계분석결과 면적과 목본식물종수가 0.716으로 가장 높게 나타났다. 도서생물지리학의 이론을 서식처 분획화에 적용하기 위해 면적과 유의성이 있는 네 변수에 대하여 회귀분석을 한 결과 목본식물종수, 목본식물개체수, 초본식물종수, 초본식물개체수 모두 유의수준 5% 이내에서 유의하며, 회귀함수의 설명력은 71%였다. 종수군과 개체수군간의 정준상관분석결과 한 개의 함수가 도출되었으며, 함수의 설명력은 88.76%이며. 유의수준 1% 이내에서 정준함수와 정준근 모두 유의한 것으로 판단된다. 지금까지의 연구결과 및 도서생물지리학의 제반 이론을 응용한 식물군집의 크기는 400$m^2$, 종수는 30종, 개체수는 4,000개로서. 이때부터 종, 개체수의 기울기 증가는 거의 없었다. 본 연구의 의의는 도시화. 산업화로 야기되는 고립된 생태계의 보전문제나 생물서식공간조성에 중요한 단서를 제공할 것으로 보이며 서식지 분획화가 일어나고 있는 모든 지역에 관리 방향과 보전대책을 제시 할 수 있다는 것이다.

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정기교체 및 최소수리를 고려한 작업주기 횟수 최적화 (Optimal Working Cycles for Minimal Repair Policy)

  • 이진표
    • 품질경영학회지
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    • 제48권1호
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    • pp.201-214
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    • 2020
  • Purpose: The purpose of this paper is to determine an optimal number of cycle times for the replacement under the circumstance where the system is replaced at the periodic time and the multiple number of working cycles whichever occurs first and the system is minimally repaired between the replacements if it fails. Methods: The system is replaced at periodic time () or cycle time, whichever occurs first, and is repaired minimally when it fails between successive replacements. To determine the optimal number of cycle times, the expected total cost rate is optimized with respect to the number of cycle times, where the expected total cost rate is defined as the ratio of the expected total cost between replacements to the expected time between replacements. Results: In this paper, we conduct a sensitivity analysis to find the following results. First, when the expected number of failures per unit time increases, the optimal number of cycle times decreases. Second, when the periodic time for replacement becomes longer, the optimal number of cycle times decreases. Third, when the expected value for exponential distribution of the cycle time increases, the optimal number of cycle times increases. Conclusion: A mathematical model is suggested to find the optimal number of cycle times and numerical examples are provided through the sensitivity analysis on the model parameters to see the patterns for changes of the optimal number of cycle times.

A DUAL ALGORITHM FOR MINIMAX PROBLEMS

  • HE SUXIANG
    • Journal of applied mathematics & informatics
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    • 제17권1_2_3호
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    • pp.401-418
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    • 2005
  • In this paper, a dual algorithm, based on a smoothing function of Bertsekas (1982), is established for solving unconstrained minimax problems. It is proven that a sequence of points, generated by solving a sequence of unconstrained minimizers of the smoothing function with changing parameter t, converges with Q-superlinear rate to a Kuhn-Thcker point locally under some mild conditions. The relationship between the condition number of the Hessian matrix of the smoothing function and the parameter is studied, which also validates the convergence theory. Finally the numerical results are reported to show the effectiveness of this algorithm.

사다리꼴퍼지수에 기초한 F.T.A. 모형에 관한 연구 (Fault Tree Analysis Model Based on Trapezoidal Fuzzy Number)

  • 신문식;조남호
    • 품질경영학회지
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    • 제20권1호
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    • pp.118-125
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    • 1992
  • Studies upto date for estimating the reliability by means of one accarate value contain risks of many erroneous options. The objective of this paper is to presents a fault tree analueis model on the basis of the membership functions of trape Zoidal fuzzy number after imposing an interval of Confidence on the residual possibility theory. The results from the model Show that the value of Stability was reliable.

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재생이론에 의한 헬리컬 기어장치의 신뢰성에 관한 연구

  • 김하수;강희용;양성모
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 추계학술대회 논문집
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    • pp.799-802
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    • 1995
  • Whale helical gears is used to transmit motion between parallel shafts, the shaft bearings are subjected to both radial and thrust loads. The reliability and life analysis are based on the two-parameter Weibull disribution lives of the component gears and bearings. Two methods of estimating the time between gear system overhauls and the number of replacement components needed were presented. The first method assumes replacement of all components during an overhaul of a failed gear system. the second method assumes replacement of failed comonents only. Renewal theory was presented to estimate the number of comonent replacements in a gear system for both methods.

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THE EFFECT OF TRACER PARTICLE SIZE ON FEED MIXING QUALITY

  • Heping, Z.;Chuanping, F.
    • Asian-Australasian Journal of Animal Sciences
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    • 제1권4호
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    • pp.189-193
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    • 1988
  • Distribution of tracer particles in carrier conform to Poisson distribution and the effect of Poisson distribution on mixing uniformity can be reduced by increasing the tracer particle number per unit weight. In this paper, above-mentioned theory has been demonstrated by using three kinds of rotor whose pitches are different.

선로정수 예측을 위한 전차선로 등가 회로모델에 관한 연구 (Equivalent Circuit Model of Catenary for Estimating Line Constants)

  • 이한민;오광해;김길상;창상훈
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2000년도 추계학술대회 논문집
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    • pp.613-619
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    • 2000
  • This paper presents a mettled to reduce the number of conductors of catenary system for estimating line constants. Conductors of a catenary system are grouped and reduced. For example, the model representing the contact and the messenger conductors with a single equivalent conductor is. probably more realistic than assuming the two conductors completely separated, since they are generally connected by droppers every few meters. Therefore, this paper shows the method to reduce the number of conductors using electric circuit theory. To verify the results, we compared the equivalent line constants obtained by proposed method with those obtained by measurement.

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An Overview of Inventory Management with Some Suggested Research Topics

  • Silver, Edward A.
    • 대한산업공학회지
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    • 제34권4호
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    • pp.373-385
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    • 2008
  • This paper presents an overview of inventory management. This includes a categorization, by a number of dimensions, of inventory problems and associated models. Relevant literature references are provided within the dimensions. The paper points out the continuing gap between theory and practice, followed by a number of suggested research topics to help bridge the gap.

REPRESENTATION OF INTUITIONISTIC FUZZY SOFT SET USING COMPLEX NUMBER

  • KHAN, MOHSIN
    • Journal of applied mathematics & informatics
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    • 제35권3_4호
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    • pp.331-347
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    • 2017
  • Soft sets are fantastic mathematical tools to handle imprecise and uncertain information in complicated situations. In this paper, we defined the hybrid structure which is the combination of soft set and complex number representation of intuitionistic fuzzy set. We defined basic set theoretic operations such as complement, union, intersection, restricted union, restricted intersection etc. for this hybrid structure. Moreover, we developed this theory to establish some more set theoretic operations like Disjunctive sum, difference, product, conjugate etc.