• Title/Summary/Keyword: family of equations

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ON THE COMPACT METHODS FORABSTRACT NONLINEAR FUNCTIONAL EVOLUTION EQUATIONS

  • Park, Jong-Yeoul;Jung, Jong-Soo
    • Communications of the Korean Mathematical Society
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    • v.9 no.3
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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
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.2
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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.

Developing and Comparing Site Index Curves Using Polymorphic and Anamorphic Equations for Douglas-fir (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))

  • Lee, Sang Hyun
    • Journal of Korean Society of Forest Science
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    • v.88 no.2
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    • pp.142-148
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    • 1999
  • This research describes the construction of a site index equation and curves for Douglas-fir plantation (Pseudotsuga menziesii Mirb. Franco) in Nelson, New Zealand. The data sets of 146 Permanent Sample Plots (PSP) were used to build the model, and it was developed using the difference equation method. Parameter estimates were obtained using the non-linear routine of the SAS, PROC NLIN procedure. Of the models tested, a variant of the Schumacher polymorphic yield function showed the higher precision of fitting. About 95% of the observations used to fit the model could be predicted within ${\pm}1.2m$ of the actual values. Therefore, polymorphic family of site index curves, which reflect different shapes for the different site index classes, were derived from the Schumacher equation. It was found that the polymorphic site index equation was more accurate than the anamorphic equation in this study.

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

  • Lee, I.H.;Park, H.J.;Yun, K.I.
    • Journal of rehabilitation welfare engineering & assistive technology
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    • v.4 no.1
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    • pp.71-80
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    • 2010
  • This study developed the perspective model of behavior of physical therapists(PTs) and occupational therapists(OTs) who are dealing with confidential patient medical information in hospitals. Theory of planned Behavior(TpB) model, expanded models 1 and 2 that add habit, social pressure, and work convenience concept to TpB are tested for the validity in explaining the preposing factors that affect the behavior of PTs and OTs in ensuring the confidentiality of patient medical records. Data were collected by administrating a survey to the 120 PTs and OTs in A city. Of the 120 questionaries distributed, 110 were responded resulting 91.6% of response rate. There were not significantly different among the group classified by age, 'clinical career, gender, work family, and education level were analysis using with Independent t test and one-way ANOVA. The relationships on the concepts suggested in the models were analysed by applying the Structured Equations Modeling methods. The results of Structured Equations analysis showed that expanded model 2 was more effective model than TpB model and expanded model 1.

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

  • Jeon, Byung-Hwan;Lee, Sang-Hyun;Lee, Young-Jin;Kim, Hyun;Kang, Hag-Mo
    • Journal of Korean Society of Forest Science
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    • v.96 no.1
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    • pp.40-47
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    • 2007
  • The objectives of this study were to derive site index and stem volume prediction equation based on stem analysis data for Larix leptolepis in Jinan region. The function for site index was developed by algebraic difference equation method. Polymorphic site index family curves with base age of 40 were presented based on the Schumacher height equation. The best stem volume prediction equation was suggested as $V=0.00260+0.00000399D^2H$. The simultaneous F-test using this equation showed that the estimated tree stem volumes were not significantly different (${\alpha}=0.05$ level) from the observed stem volumes for model evaluation. Therefore, site index and volume prediction equations prepared in this study could provide an indication of site quality and basic information for making of yield table, and could be used for rational forest management of Larix leptolepis stands grown in Jinan region.

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

  • 고갑석
    • Korea journal of population studies
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    • v.8 no.2
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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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Developing Dominant Tree Height Growth Curve and Site Index Curves for Pinus densiflora and Chamaecyparis obtusa Grown in Jeolla-do (전라도 지역 소나무와 편백에 대한 수고생장모델 및 지위지수곡선 개발)

  • Park, Hee-Jung;Lee, Sang-Hyun
    • Journal of Korean Society of Forest Science
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    • v.108 no.3
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    • pp.364-371
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    • 2019
  • This study was conducted to provide the basic information for a reasonable forest management plan and sustainable forest management by developing a dominant tree height growth model using diameter at breast height (DBH) and site index curves for Pinus densiflora and Chamaecyparis obtusa growing in Jeolla-do. The altitude, slope, orientation, soil type, height and DBH of a dominant tree, and the ages of trees were measured for 3055 Pinus densiflora trees (611 plots) and 3345 Chamaecyparis obtusa trees (699 plots), and these data were used to develop a customized afforestation map. In the dominant tree height growth model, the relationship to DBH was used in the Petterson, Michailow, and log equations. Also, a dominant tree height growth model in relationship to age used the Chapman-Richards, Schumacher, and Gompertz equations. The Petterson equation, which has a lower mean square error, was used to model dominant tree height growth in relationship to DBH. In the model of dominant tree height growth in relationship to age, three kinds of equations were considered to have little statistical difference. Therefore, the Chapman-Richards equation was chosen for modeling on the national level. Thirtyyears was used as the base age, which is an important factor for estimating the site index curves. In the results, a more varied range of site index family curves with 6-18 was developed for Pinus densiflora, and with 6-22 for Chamaecyparis obtusa. As the new site index curves indicated influences on growth of Pinus densiflora and Chamaecyparis obtusa, a reasonable forest management plan will be possible in the future for Jeolla-do.

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

  • Argyros, Ioannis K.;Kumar, Deepak;Sharma, Janak Raj
    • Communications of the Korean Mathematical Society
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    • v.33 no.2
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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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    • v.7 no.11
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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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    • v.5 no.4
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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.