• 대한수학회보
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• 제45권3호
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• pp.563-571
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• 2008

We deduce the necessary conditions for the optimality of endpoint constrained optimal control problem. These conditions comprise the adjoint equation, the maximum principle and the transversality condition. We assume that the cost function is merely differentiable. Therefore the technique under Lipschitz continuity hypothesis is not directly applicable. We introduce Fermat's rule and value function technique to obtain the results.

• 충청수학회지
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• 제7권1호
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• pp.33-39
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• 1994

The purpose of this paper prove the following property; Suppose A has many units (local global ring) and |A/m| > 5 for every maximal ideal $m{\subseteq}A$. Let(E, q) ${\in}$ Q(A) and $E=E_1{\bot}{\cdots}{\bot}E_t$ be an orthogonl decomposition of E with $t{\geq}2$ and $rk(E_i){\geq}1$, for $i=1,{\cdots},t$. Let $x{\in}E$ be a primitive vector. Then there exists ${\sigma}{\in}O(q)$ such that ${\sigma}(x)$ is transversal to this decomposition.

• Structural Engineering and Mechanics
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• 제68권1호
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• pp.121-130
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• 2018

This study deals with optimum geometry design of laterally loaded piles in a Winkler's medium through the Fully Stressed Design (FSD) method. A numerical algorithm distributing the mass by means of the FSD method and updating the moment by finite elements is implemented. The FSD method is implemented here using a simple procedure to optimise the beam length using an approach based on the calculus of variations. For this aim two conditions are imposed, one transversality condition at the bottom end, and a one sided constraint for moment and mass distribution in the lower part of the beam. With this approach we derive a simple condition to optimise the beam length. Some examples referred to different fields are reported. In particular, the case of laterally loaded piles in Geotechnics is faced.

• World Technopolis Review
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• 제1권1호
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• pp.6-15
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• 2012

Science and technology parks have been popular among policy-makers at several spatial levels to promote innovation and economic growth of certain localities. However, this mainly property-led policy tool has been criticised for two reasons. First, it often failed to successfully support regional networking and technology transfer to regional firms. Only unplanned science and technology parks, such as Silicon Valley, seem to have been successfully fostering regional networking and technology transfer which has led, in turn, to the development of competitive innovative clusters. Secondly, it has too often bet on the same horses and become too specialised in the same fields, such as in micro-electronics or in biotechnology. This specialisation has been theoretically supported by the cluster concept. It has led to both a zero sum game of competition between locations as well as potentially negative path dependence and lock-ins. This paper suggests increasingly supporting diversification in science and technology parks by bringing together hitherto unconnected technologies. Several recently discussed concepts could be used to support diversification, such as related variety (Frenken et al. 2007), regional branching (Boschma and Frenken 2011), regional innovation platforms (Harmaakorpi et al. 2011) and transversality (Cooke 2011).

• Journal of Electrical Engineering and Technology
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• 제8권4호
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• pp.719-728
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• 2013

Probabilistic assessment of voltage stability margin (VSM) with existence of correlated wind speeds is investigated. Nataf transformation is adopted to establish wind speed correlation (WSC) model. Based on the saddle-node bifurcation transversality condition equations and Monte Carlo simulation technique, probability distribution of VSM is determined. With correlation coefficients range low to high value, the effect of WSC on VSM is studied. In addition, two risk indexes are proposed and the possible threat caused by WSC is evaluated from the viewpoint of risk analysis. Experimental results show that the presence of correlated wind speeds is harmful to safe and stable operation of a power system as far as voltage stability is concerned. The achievement of this paper gives a detailed elaboration about the influence of WSC on voltage stability and provides a potentially effective analytical tool for modern power system with large-scale wind power sources integration.

• 국제지역연구
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• 제15권1호
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• pp.59-86
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• 2011

본고는 공급측면(비용)의 비대칭정보가 존재할 때, 일국의 외국 독점기업에 부과하는 최적관세 정책에 관한 내용이다. 즉, 한 나라의 후생관점에서 시장 지배력을 가진 외국독점기업에 대한 최적관세의 결정 문제를 비용측면의 비대칭정보하에서 분석하는 것이 이 논문의 목적이다. 따라서 비대칭정보하에서의 전략적 최적관세가 도출되고 그 함축성이 논의된다. 주요 결과는 외국기업의 독점렌트를 이전하기 위한 최적관세의 크기가 완전정보하에서 보다 비대칭정보하에서 더 커진다는 것이다. 또한 외국독점렌트를 이전하기 위한 전략적 무역정책이 비대칭정보하에서 유동적임이 드러난다. 이 연구는 문헌적으로 기존의 전략적 무역정책을 보완하며 특히 이 분야의 선구적 이론인 브랜더-스펜서의 결과(1984)를 이론적으로 확장하는 의미를 가진다.

• 대한수학회지
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• 제46권2호
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• pp.363-447
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• 2009

The author previously defined the spectral invariants, denoted by $\rho(H;\;a)$, of a Hamiltonian function H as the mini-max value of the action functional ${\cal{A}}_H$ over the Novikov Floer cycles in the Floer homology class dual to the quantum cohomology class a. The spectrality axiom of the invariant $\rho(H;\;a)$ states that the mini-max value is a critical value of the action functional ${\cal{A}}_H$. The main purpose of the present paper is to prove this axiom for nondegenerate Hamiltonian functions in irrational symplectic manifolds (M, $\omega$). We also prove that the spectral invariant function ${\rho}_a$ : $H\;{\mapsto}\;\rho(H;\;a)$ can be pushed down to a continuous function defined on the universal (${\acute{e}}tale$) covering space $\widetilde{HAM}$(M, $\omega$) of the group Ham((M, $\omega$) of Hamiltonian diffeomorphisms on general (M, $\omega$). For a certain generic homotopy, which we call a Cerf homotopy ${\cal{H}}\;=\;\{H^s\}_{0{\leq}s{\leq}1}$ of Hamiltonians, the function ${\rho}_a\;{\circ}\;{\cal{H}}$ : $s\;{\mapsto}\;{\rho}(H^s;\;a)$ is piecewise smooth away from a countable subset of [0, 1] for each non-zero quantum cohomology class a. The proof of this nondegenerate spectrality relies on several new ingredients in the chain level Floer theory, which have their own independent interest: a structure theorem on the Cerf bifurcation diagram of the critical values of the action functionals associated to a generic one-parameter family of Hamiltonian functions, a general structure theorem and the handle sliding lemma of Novikov Floer cycles over such a family and a family version of new transversality statements involving the Floer chain map, and many others. We call this chain level Floer theory as a whole the Floer mini-max theory.

• 전기의세계
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• 제29권3호
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• pp.170-176
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• 1980

이 논문은 제어신호가 이상적인 포화특성을 갖은 제작조건하의 시불변, 선형 제어계의 시최적화 제어기구의 설계이론을 비교 연구하는데 목적을 두었다. 어떤 초기상태에 있는 계를 특정된 최종상태로, 최단시간내에 이행시켜 가는데 요구되는 제어기구의 설계문제는 여러해 동안 흥미있는 연구과제로 학계에 등장되었고 이러한 문제를 처리하는데에는 여러가지의 설계방법이 제안되어 왔다. 이 논문에서는 이러한 최적화 제어기구의 설계 이론중, 상태천이법에 의한 방법, 최대원리의 적용에 의한 방법 및 동적 프로그래밍기법에 의한 방법들을 서로 비교하여 2차계의 시최적화 설계사례에 이들을 적용시킴으로써 그 설계법상의 문제점을 비교 검토하여 보려는데 목적을 두었다. 설계사례 2차계는 시불변, 선형인 것으로 가정하였으며, 초기상태벡터 및 최종상태벡터는 모두 특정된 값으로 지정되고 제어신호는 이상적인 포화특성으로 제약받으며 스윗칭 시간이 유한크기가 아닌 정규형인 경우에 한정시켜 다루었다. 어느 설계이론을 적용시키나 시최적화를 위한 제어측은 단속제어방식으로 결과되었으나, 시최적화 문제의 특수성때문에 최대원리 및 동적 프로그래밍기법의 적용사례에서는 자연경계조건 및 Transversality 조건 등이 스윗칭시간 또는 최종시간을 직접 결정하여 주는 관건은 되지 못하였으며 계통의 상태방정식 또는 보조상태방정식을 구속제약된 양단상태량을 만족하도록 최적에어측을 적용하여 풀므로써 스윗칭시간과 최종시간이 얻어진다. 따라서 어느 한가지 방법의 적용만으로는 수학적인 처리상의 애로는 피할길이 없었으며 Hamiltonian함수의 변화성질을 보조적으로 활용하여 가면 이러한 번거로움이 덜하여 지긴하나, 다루는 계통의 차수가 높을 수록 이러한 수치해를 얻기위한 번거로움은 여간한 험로가 아닌 것으로 생각된다. 결론적으로 이러한 시최적화문제의 설계에는 몇가지의 혼용적용이 바람직하다고 결론된다. 이의 개발에 박차를 가하지 않을 수 없는 것이다.고, 우선 여기서는 당면문제로서 대처하지 않으면 안될 자동주파수제어문제및 계통의 경제운용문제만에 한정하여, 이것을 우리나라의 현상과 관련시켜 개설하고, 이들의 자동화에 관한 기본적인 문제를 간단히 적어 보겠다. 가능하다. 제작완료된 ASIC은 기능시험을 완료했으며 실제 line-of-sight(LOS) 시스템 구현에 적용중이다. 시대를 살아 갈 회원들이다. '컨텐츠의 시대'가 개막되는 것이며, 신세기통신과 SK텔레콤은 선의의 경쟁 과 협력을 통해 이동인터넷 서비스의 컨텐츠를 개발해 나가게 될 것이다. 3배가 높았다. 효소 활성에 필수적인 물의 양에 따른 DIAION WA30의 라세미화 효율에 관하여 실험한 결과, 물의 양이 증가할수록 그 효율은 감소하였다. DIAION WA30을 라세미화 촉매로 사용하여 아이소옥탄 내에서 라세믹 나프록센 2,2,2-트리플로로에틸 씨오에스터의 효소적 DKR 반응을 수행해 보았다. 그 결과 DIAION WA30을 사용하지 않은 경우에 비해 반응 전환율과 생성물의 광학 순도는 급격히 향상되었다. 전통적 광학분할 반응의 최대 50%라는 전환율의 제한이 본 연구에서 찾은 DIAION WA30을 첨가함으로써 성공적으로 극복되었다. 또한 고체 염기촉매인 DIAION WA30의 사용은 라세미화 촉매의 회수 및 재사용이 가능하게 해준다.해준다.다. TN5 세포주를 0.2 L 규모 (1 L spinner flask)oJl에서 세포간의 응집현상 없이 부유배양에 적응,배양시킨 후 세포성장 시기에 따른 발현을 조사한 결과 1 MOI의 감염조건 하에서는 $0.6\times10^6$cell/mL의 early exponential시기의 세포밀도에서 72시간 배양하였을 대 최대 발현양을 나타내었다. 나타내었다. $\beta$4 integrin의

• 대순사상논총
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• 제25_1집
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• pp.121-155
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• 2015

The purpose of this article is to study on the comparative relationship between mutual cooperation of the Dae-soon thought of Dae-soon jinrihoe and Shinnyo thought of Shinjo Ito. Dae-soon thought focuses on outspreading virtues and enlightenment teaching based on the saying of Jeong-san Sang Jae's Mutual cooperation without any grudge. According to the Buddha's nature thought of Shinjo Ito, 'Dharma kāya resident' is the source of touching upon buddhahood. The Shinyo-en is an outward manifestation of their deep resolve to help others by cultivating spiritual faculty and mind session. First, we can find the virtue action theory in the mutual cooperation of Dae-soon thought and the virtue nature theory in the Shinnyo thought of Shinjo Ito. From the perspective of comparative relationship, it was Jeong-san Sang Jae who laid foundation for the Posterior Grand Renewal. His idea is that the universe should be completed through the mutual communication between the earth and men following the Posterior Grand Renewal. It was Kyodoin-sama who laid the foundation for identifying the place Shinchoji was established. It was at the time that the power we call bakku-daiju as transversality and Shinnyo spiritual faculty were perfected through Shindoin-sama's passing. Second, based on Jeon-kyungn or Dae-soon Ji Chim, outspreading virtue is to awaken mutual cooperation without any grudge and the enlightenment teaching to practice according to mutual cooperation principle without any deceit toward one's own self. No deceit toward one's own self is to be sincere, to be respectful and to be faithful in Jeong-san Sang Jae. In the different context of Mahayana Buddhism, we can be aware that the immortal resident immortal of Dharma kāya is the source of permanent bliss in the Mahāyāna Mahāparinirvāṇa Sūtra' From the perspective of comparative relationship to pray toward Jeong-san Sang Jae and to participate in the Posterior Grand Renewal is to take part in Cheonji-Gongsa. It is a similar phenomena to be reflected suchness reality before the three personifications of buddhahood and the Shinnyo Stupa is the same meaning as meeting the ever present Buddha. Both of them, they focus to find religious altruism from real possibilities of mutual support. They argue that to dispense with altruism is to dispense with Sang Jae or Dharma for the divine transformation of human possibilities Third, Everybody possesses unique and wonderful abilities to be unified with Jeong-san Sang Jae. If we seek happiness by trying to get by without making much of an effort to take part in CheonjiGongsa, it will be difficult to attain the harmony and peace of mankind with outspreading virtues and enlightenment teaching. In the 'Mahāyāna Mahāparinirvāṇa Sūtra' tells us 'all sentient beings have Buddha nature' that could be the possibility to the fulfillment of buddhahood in the spiritual practice. From the comparative relationship, we can strive with open hearts and minds, in efforts that benefit others, and in ways we can work together to build a word of joy in which everyone can have an opportunity to cultivate spiritual faculty. This is based on mutually beneficial voluntary focused our principles into practice the spirit to build a mind session of Shinnyo as the civic clean precepts of 'Mahāyāna Mahāparinirvāṇa Sūtra'. Fourth, the disciples of Jeong-san Sang Jae are encouraged to acquire the Mutual cooperation manner of being considerate. It is important to accumulate virtue action by daily effort. It is the contrast to awaken virtue nature by daily practice. The Buddha's nature thought of Shinjo Ito is based on the thought of Mahāyāna Mahāparinirvāṇa Sūtra. It can be supported by the Shinnyo parents and the two Dojis to build a world of joy as the light dharma descending and the emphasis of Tathatā spiritual faculty. It's not that we can't do something we haven't attained a higher spiritual level. What counts is our continuos effort, act so we can cultivate our spiritual faculty through the way of mind session.