• 제목/요약/키워드: family of equations

검색결과 97건 처리시간 0.027초

ON THE COMPACT METHODS FORABSTRACT NONLINEAR FUNCTIONAL EVOLUTION EQUATIONS

  • Park, Jong-Yeoul;Jung, Jong-Soo
    • 대한수학회논문집
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    • 제9권3호
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    • pp.547-564
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    • 1994
  • Let X be a real Banach space. We consider the existence of solutions of the abstract nonlinear functional evolution equation : $$ (E) \frac{du(t)}{dt} + A(t)u(t) + F(u)(t) \ni h(t), $$ $$ u(s) = x_o \in D(A(s)), 0 \leq s \leq t \leq T, $$ where u : $[s, T] \to x$ is an unknown function, ${A(t) : 0 \leq t \leq T}$ is a given family of nonlinear (possibly multivalued) operators in X, and $F : C([s, t];X) \to L^{\infty}([s, X];X)$ and $h : [s, T] \to X$ are given functions.

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EXPLICIT SOBOLEV ESTIMATES FOR THE CAUCHY-RIEMANN EQUATION ON PARAMETERS

  • Cho, Sang-Hyun;Choi, Jae-Seo
    • 대한수학회보
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    • 제45권2호
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    • pp.321-338
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    • 2008
  • Let $\bar{M}$ be a smoothly bounded pseudoconvex complex manifold with a family of almost complex structures $\{L^{\tau}\}_{{\tau}{\in}I}$, $0{\in}I$, which extend smoothly up to bM, the boundary of M, and assume that there is ${\lambda}{\in}C^{\infty}$(bM) which is strictly subharmonic with respect to the structure $L^0|_{bM}$ in any direction where the Levi-form vanishes on bM. We obtain explicit estimates for the $\bar{\partial}$-Neumann problem in Sobolev spaces both in space and parameter variables. Also we get a similar result when $\bar{M}$ is strongly pseudoconvex.

다변태(多變態)와 변태(變態) 방정식(方程式)을 이용(利用)한 미송(美松)의 지위지수(地位指數) 곡선(曲線) 추정(推定)과 비교(比較) (Developing and Comparing Site Index Curves Using Polymorphic and Anamorphic Equations for Douglas-fir)

  • 이상현
    • 한국산림과학회지
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    • 제88권2호
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    • pp.142-148
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    • 1999
  • 본 연구는 뉴질랜드 넬슨 지역에 조림된 미송(美松) (Pseudotsuga menziesii Mirb. Franco)의 지위지수(地位指數) 식과 지위지수(地位指數) 곡선 구성에 관한 것이다. 지위지수(地位指數) 모델 구성에 146개의 영구 표본 플롯 (PSP)이 사용되었고, Difference 방정식을 이용하여 지위지수(地位指數) 식을 유도하였다. 모수(母數) 추정은 SAS의 PROC NLIN을 이용한 비선형 루틴에 의하여 수행하였다. Schumacher 다변태(多變態) 생장식이 사용된 여러 생장식 중 가장 정밀한 추정을 보여주었고, 모델 추정에 사용된 95% 관측치는 실측치의 ${\pm}1.2m$ 이내의 추정치를 나타내었다. 따라서, 지위지수(地位指數) 등급의 상이(相異)에따라 지위지수(地位指數) 곡선의 변형을 반영하는 다변태(多變態) 지위지수(地位指數) 곡선을 Schumacher 생장식으로부터 유도하였다. 또한 다변태(多變態) 방정식과 변태(變態) 방정식의 비교 결과는, 다변태(多變態) 방정식으로부터 보다 정확한 지위지수(地位指數) 식을 이끌어 냄을 알 수 있었다.

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구조모형방정식을 이용한 물리치료사와 작업치료사의 환자의료정보 보호행동 예측모형 개발 (A Prospective Model of Behavior of Physical and Occupational Therapists of The Confidentiality of Patient Medical records by Structural Equation Model)

  • 이인희;박희준;윤경일
    • 재활복지공학회논문지
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    • 제4권1호
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    • pp.71-80
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    • 2010
  • 본 연구의 목적은 병원에서 기밀한 환자의료정보를 다루는 물리치료사와 작업치료사 행동의 예측모형을 개발하고자 하는 것이다. 계획된 행동 모델이론과 계획된 행동 모델에 습관, 사회적 압력, 업무 편리성의 변수를 추가하여 확장 모델 1, 2로 환자의료기록을 보장하는 물리치료사와 작업치료사의 행동에 영향을 미치는 전치 요소들을 설명하는 타당성을 검증하고자 하였다. A 시의 120명의 물리치료사와 작업치료사를 대상으로 설문조사를 실시하였다. 120부의 설문지가 배포되었으며, 110부가 회수되어 91.6%의 응답률을 보였다. Independent t test와 one-way ANOVA를 사용하여, 나이 임상 경력, 성별, 직장 내 구성원과 교육 수준에 따른 각 군 간의 차이를 검증하였으나, 통계적인 유의미한 차이는 없었다. 모델에서 제안된 개념들 간의 관계는 구조모형방정식을 사용하여 분석하였다. 구조모형방정식을 사용하여 분석한 결과 확장 모델 2가 TpB 모델과 확장된 모델 1보다 효과적인 모델로 나타났다.

전북 진안 낙엽송 임분의 지위지수 및 간재적식 추정 (Estimation of Site Index and Stem Volume Equations for Larix leptolepis Stand in Jinan, Chonbuk)

  • 전병환;이상현;이영진;김현;강학모
    • 한국산림과학회지
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    • 제96권1호
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    • pp.40-47
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    • 2007
  • 본 연구는 전라북도 진안 지역의 낙엽송을 대상으로 지위지수 추정과 지위지수곡선 유도 및 간재적식 개발을 목적으로 하였다. 지위지수에 대한 식은 대수차분 방정식에 의해 개발되었다. 기초 연령 40년으로 한 다형 지위지수 패밀리 곡선은 Schumacher 수고 방정식을 기초로 표현하였다. 최적의 간재적 추정식은 $V=0.00260+0.00000399D^2H$로 판명되었다. 이 방정식에 사용한 동시 F-검정에서 추정된 간재적량은 모델 평가에 관한 실측된 간재적량과 유의(${\alpha}=0.05$)하게 다르지 않음을 보여주었다. 지위지수 곡선과 재적 추정식의 결과는 지위와 수확표 조제시 기초 자료로 제공할 수 있고, 진안지역 낙엽송 임분의 지역 산림경영에 사용될 수 있을 것이다.

최근의 피임실천수준과 출산력추이에 관한 고찰 -몇가지 정책적 제언을 중심으로- (A Review of Relationship Between Level of Fertility and Contraceptive Prevalence in Korea: Some Implication for Policy Suggestion)

  • 고갑석
    • 한국인구학
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    • 제8권2호
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    • pp.79-92
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    • 1985
  • Fertility has been declined since 1966 (see Table 1). This fertility reduction was duely caused by age at first marriage, induced abortion and contraceptive practice which has been largely increased in recent years. Although tbe proximate determinant such as induced abortion, age at marriage and breastfeeding can and do have an effect on fertility, the principal cause of the reduction in fertility in Korea during the fertility transition can be supported by correlation between level of fertility and contraceptive prevalence (See Fig. 4). Taking a regression equation between fertility (TER. Y) and prevalence level (X), the total fertility rate in 1984 was estimated as 1.9 and 2.1 based on lenear and expotential function shown as follow; $Y_1$=5.709-0.0549 X and $Y_2$_______80________ 1+e2.433+0.017X ($R^2$=O. 93) ($R^2$=0. 96) Where $Y_1$ and $Y_2$ denote total fertility rates obtained through two equations respectivelly. The peak of contraceptive prevalence was assumdd as 80 percent which is almost upper limit in human society. On the other hand, an observed value of 1984 fertility level obtained from five month period shows 2.1 which is coincident with logistic fitting after the adjustment of response error assumed around 10 to 20 percent, At any rate, fertility of Korean women will have been reached replacement level (2.1) by 1985.Thus policy for family planning program must be reviewed toward the direction of integrated approach particularly with MCH program inasmuch as fertility in Korea has already shown population replacement level that require more good quality of service in family planning and their There must be an advanced level of fertility in Korea because wide use of contraception and induced life abortion and age at marriage will effect modern fertility which shows up and down trend between 2.1 and 1.5 in general.

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전라도 지역 소나무와 편백에 대한 수고생장모델 및 지위지수곡선 개발 (Developing Dominant Tree Height Growth Curve and Site Index Curves for Pinus densiflora and Chamaecyparis obtusa Grown in Jeolla-do)

  • 박희정;이상현
    • 한국산림과학회지
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    • 제108권3호
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    • pp.364-371
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    • 2019
  • 본 연구는 전라도 지역의 주요 수종인 소나무와 편백의 흉고직경에 따른 우세목의 수고생장모델과 지위지수곡선을 개발하여 합리적인 경영과 지속가능한 산림경영체계의 기초자료를 제공할 목적으로 실시하였다. 데이터는 맞춤형 조림지도 제작을 위한 전라도 지역에 생육하고 있는 소나무 3,055본(611개 표본점), 편백 3,345본(669개 표본점)에 대한 표고, 경사도, 방위, 토양형, 우세목의 수고와 흉고직경, 수령 등을 측정하여 수집하였다. 전라도 지역 소나무와 편백에 대한 흉고직경에 따른 우세목의 수고생장모델은 Petterson식, Michailow식, Log식을 이용하였으며, 연령에 따른 우세목의 수고생장모델은 Chapman-Richards식, Schumacher식, Gompertz식을 이용하여 개발하였다. 흉고직경에 따른 우세목의 수고생장모델은 소나무와 편백 모두 잔차평균제곱의 값이 가장 낮은 Pettersosn식을 선정하였다. 연령에 따른 우세목의 수고생장모델은 국가수준에서 사용하고 있는 Chapman-Richards식을 선정하였다. 지위지수의 추정을 위하여 기준임령(Base age)은 30년을 사용하였다. 그 결과 소나무는 지위지수 6~18, 편백은 지위지수 6~22로 국가수준에서 사용하고 있는 지위지수곡선에 비해 매우 다양하게 지위를 추정할 수 있어, 현실임분의 합리적인 경영을 위한 자료제공에 적합한 것으로 판단된다.

STUDY OF OPTIMAL EIGHTH ORDER WEIGHTED-NEWTON METHODS IN BANACH SPACES

  • Argyros, Ioannis K.;Kumar, Deepak;Sharma, Janak Raj
    • 대한수학회논문집
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    • 제33권2호
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    • pp.677-693
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    • 2018
  • In this work, we generalize a family of optimal eighth order weighted-Newton methods to Banach spaces and study its local convergence to approximate a locally-unique solution of a system of nonlinear equations. The convergence in this study is shown under hypotheses only on the first derivative. Our analysis avoids the usual Taylor expansions requiring higher order derivatives but uses generalized Lipschitz-type conditions only on the first derivative. Moreover, our new approach provides computable radius of convergence as well as error bounds on the distances involved and estimates on the uniqueness of the solution based on some functions appearing in these generalized conditions. Such estimates are not provided in the approaches using Taylor expansions of higher order derivatives which may not exist or may be very expensive or impossible to compute. The convergence order is computed using computational order of convergence or approximate computational order of convergence which do not require usage of higher derivatives. This technique can be applied to any iterative method using Taylor expansions involving high order derivatives. The study of the local convergence based on Lipschitz constants is important because it provides the degree of difficulty for choosing initial points. In this sense the applicability of the method is expanded. Finally, numerical examples are provided to verify the theoretical results and to show the convergence behavior.

Antecedents of Organic Food Products Intention and Behaviors: Evidence from Vietnam

  • PHAM, Hung Cuong
    • The Journal of Asian Finance, Economics and Business
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    • 제7권11호
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    • pp.429-437
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    • 2020
  • The paper investigates the antecedents of Organic Food (OF) produce in Vietnam and the intentions and behavior of OF purchasers. A theoretical framework is developed and evaluated by simulation of the structural model. Data was collected from a convenient sample of 222 consumers from Ho Chi Minh City in Vietnam. The selection included 159 (72%) women, who were identified as being the primary buyers of organic food for their family (73%). Findings suggest food hygiene issues and conscientious self-identity as the much beneficial determinants of organic production perceptions. Because of the results in this report, the consideration for food security has gained little research consideration throughout the field of organic produce. Food safety concerns are also related to academics exploring consumer confidence as they might be regarded as one of their aspects in selecting standard, natural or health food products. Findings suggest food security as one of the essential determinants of motivation, while health awareness purports to become the least significant motivation, contrary to observations from certain previous studies. However, it is observed that moral personality-identity influences both perceptions and willingness to buy organic food, stressing that the association of participants with ethical concerns influences their perceptions and eventual choices of consumption.

Harmonic Elimination and Optimization of Stepped Voltage of Multilevel Inverter by Bacterial Foraging Algorithm

  • Salehi, Reza;Vahidi, Behrooz;Farokhnia, Naeem;Abedi, Mehrdad
    • Journal of Electrical Engineering and Technology
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    • 제5권4호
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    • pp.545-551
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    • 2010
  • A new family of DC to AC converters, referred to as multilevel inverter, has received much attention from industries and researchers for its high power and voltage applications. One of the conventional techniques for implementing the switching algorithm in these inverters is optimized harmonic stepped waveform (OHSW). However, the major problem in using this technique is eliminating low order harmonics by solving the nonlinear and complex equations. In this paper, a new approach called the "bacterial foraging algorithm" (BFA) is employed. This algorithm eliminates and optimizes the harmonics in a multilevel inverter. This method has higher speed, precision, and convergence power compared with the genetic algorithm (GA), a famous evolutionary algorithm. The proposed technique can be expanded in any number of levels. The purpose of optimization is to remove some low order harmonics, as well as to ensure the fundamental harmonic retained at the desired value. As a case study, a 13-level inverter is chosen. The comparison results by MATLAB software between the two optimization methods (BFA and GA) have shown the effectiveness and superiority of BFA over GA where convergence is desired to achieve global optimum.