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BIFURCATION OF BOUNDED SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS

  • Ward, James--Robert
    • Journal of the Korean Mathematical Society
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    • v.37 no.5
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    • pp.707-720
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    • 2000
  • Conley index is used study bifurcation from equilibria of full bounded solutions to parameter dependent families of ordinary differential equations of the form {{{{ {dx} over {dt} }}}} =$\varepsilon$F(x, t, $\mu$). It is assumed that F(x, t,$\mu$) is uniformly almost periodic in t.

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The Clinical Studies for Muscle Energy Techniques on Patients with Nuchal Pain Caused by Traffic Accidents (교통사고로 유발된 경항통 환자의 근에너지기법(MET)의 효과에 대한 임상적 연구)

  • Jeon, Tae-Dong;Lee, Han-Gil;Hong, Seo-Yuong;Heo, Dong-Seok;Yoon, Il-Ji
    • Journal of Korean Medicine Rehabilitation
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    • v.19 no.1
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    • pp.125-134
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    • 2009
  • Objectives : The purpose of this study is to find out the effects of muscle energy techniques on nuchal pain caused by traffic accidents. Methods : The 20 patients were divided into 2 groups: group A was treated except muscle energy techniques and group B was treated with muscle energy techniques. Both groups were treated with acupunture treatment, physical theraphy and herbal medication. Patients were evaluated by McGill Pain Questionnaire-Short Form(SF-MPQ), Pain Disability Index(PDI) and Neck Disability Index(NDI) in traffic accident patients. Results : 1. Both Group were significantly decreased in sensory of SF-MPQ, VAS, PDI and NDI after 7 days of treatment. 2. Group B compared with the Group A was significantly decresed in VAS, PDI after 7 days of treatment. Conclusions : We found out that muscle energy techniques is considered to be effective and useful on nuchal pain caused by traffic accidents.

Marine Algal Flora and Community Structure of the Intertidal Zone around Shingori Nuclear Power Plant, Korea (신고리원자력발전소 주변 해역 조간대의 해조상 및 군집구조)

  • Han, Su Jin;Jang, Jae Gil;Hwang, Youg Hun;Son, Min Ho;Choi, Han Gil
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.50 no.3
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    • pp.319-325
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    • 2017
  • Marine algal flora and community structures were examined seasonally at three sites around the Shingori Nuclear Power Plant, Korea from February to November 2016. A total of 76 species were identified, including 9 green, 14 brown and 53 red algae. The greatest number of species occurred at Daesongri (51 species) followed by Sinamri (43 species) and at the discharge area (38 species) during the study period. Of the 76 seaweeds, 59 annuals and 17 warm tolerant species were recorded. Annual average biomass in dry weight varied from $168.02g/m^2$ at the discharge area to $222.53g/m^2$ at Sinamri. The coarsely branched form was the dominant functional form of seaweeds at the three sites. Seaweed community structures at the discharge site were distinguishable by decreasing species richness, biomass, species diversity index, richness index, and evenness index. The ratio of warm tolerance species and the dominance index values were remarkably higher at the discharge than those at the other sites.

Seasonal Variation in Seaweed Community Structure in the Subtidal Zone of the Southern Part of the East Coast of Korea (동해 남부 해역 조하대 해조류 군집구조의 계절적 변화)

  • Han, Su Jin;Hwang, Youg Hun;Son, Min Ho;Choi, Han Gil;Jang, Jae Gil
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.51 no.5
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    • pp.571-578
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    • 2018
  • Seasonal variability in algal community structure of the subtidal zone was examined at four study sites on the southeastern coast of Korea from February to November 2016. A total of 81 species of algae (8 green, 12 brown, and 61 red) were indentified. During the study period, the greatest number of species was observed at Sinamri (57 species) followed by Daesongri (50 species), Dongbaekri (47 species) and Gangyangri (42 species). Of the six functional seaweed forms, the coarsely-branched form was the most dominant, accounting for about 43% of the total species at Daesongri. The annual average biomass in wet weight varied from $700.59g/m^2$ at Sinamri to $1,712.45g/m^2$ at Daesongri. The parameters of seaweed community structures were as follows: dominance index (DI), 0.30-0.54; richness index (R), 4.92-7.05; evenness index (J'), 0.54-0.72; and diversity index (H'), 2.05-2.91.

Study on Adaptation of Parameteric Funition in Performance Index for Non-linear Control System Design (비선형제어계에 있어서 평가보조함수적용에 관한 연구)

  • 심흥석;김경기
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.10 no.1
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    • pp.1-8
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    • 1973
  • It is often difficult, or almost impossible, in most cases to obtain the optimal solution to the non-linear control systems by analytical method. In this paper, the authors have treated with the technique of parameteric adaptation which is introduced into the performance index, in order to circumvent the difficulties arising in seal.ch of optimal policy for the non-linear feedback control systems. This approach is shown to provide the advantage of making it possible to design the non-linear feedback control system even if the design specifications are not completely discribed in mathematical form. This is fundamentally due to a certain degree of freedoln in design, which this method allows the designer in establishing the performance index. The effectiveness and feasibilities of this concept are demonstrated by working out some illustrative examples with the performance index of integral quadratic form.

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The Clinical Study for the Effects of Flexion-Distraction Technique on Patients with Low Back Pain (요통 환자의 굴곡신연기법의 효과에 대한 임상적 연구)

  • Jung, Won-Hee;Seo, Sang-Kyoung;Park, Kuk-Ji;Kang, Jun-Hyuk
    • Journal of Korean Medicine Rehabilitation
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    • v.20 no.3
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    • pp.61-74
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    • 2010
  • Objectives : The purpose of this study is to find out the effects of flexion-distraction technique on low back pain. Methods : The 40 patients were divided into 2 groups: group a was treated except flexion-distraction technique and group B was treated with flexion-distraction technique. Both groups were treated with acupuncture treatment, physical therapy and manipulation. Patients were evaluated by McGill pain questionnaire-short form(SF-MPQ), visual analogue scale(VAS), Oswestry disability index(ODI) and pain disability index(PDI). Results : 1. Both Groups were significantly decreased in VAS and ODI after 3 weeks of treatment. 2. Group B compared with Group A was significantly decreased in SF-MPQ, VAS, ODI and PDI after 3 weeks of treatment. Conclusions : We found out that flexion-distraction technique is considered to be effective and useful on low back pain.

The Estimation of Tree Form Index for Major Canopy Species in the Natural Deciduous Forest (천연활엽수림(天然闊葉樹林) 주요(主要) 상층(上層) 임관(林冠) 수종(樹種)의 임목(林木) 형질(形質) 지수(指數) 추정(推定))

  • Kim, Ji Hong;Yang, Hee Moon
    • Journal of Forest and Environmental Science
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    • v.15 no.1
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    • pp.1-9
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    • 1999
  • Noticing the intrinsic growing habit variations of hardwood species which is indigenous to the natural deciduous forest, eighteen tree species in overstory were selected for comparative evaluating tree form so as to develop the tree form index (TFI). Selected six tree form attributes were arbitrarily divided four assessment criteria and given appropriate scores. Eighteen tree species were undergone corresponding scores, converted to percentage base, and estimated TFI by the summation of the six scoring values. Cluster analysis was carried out to review which attribute would have been shared among species based on dissimilarity of scores for each pair of species in $18{\times}6$ data matrix. The result showed that Populus davidiana had the highest TFI value of 80.8 and Carpinus cordata had the lowest TFI va1ue of 46.3. The species which received more than 70 of TFI are Populus davidiana, Betula costata, Fraxinus mandshurica, and Ulmus davidiana var. japonica, characterized by the advantage of straight and longer bole, the narrower crown, and the thinner branch. On the contrary, such species as Sorbus alnifolia. Prunus sargentii, Acer mandshuricum, Juglans mandshurica, and Carpinus cordata received less than 60 of TFI, characterized by the disadvantage of the crooked or forked stem. the wider or deeper crown. and the thicker branch. In the dendrogram produced by cluster analysis, arbitrary value of Euclidean distance 10 divided eighteen species into four distinctive groups. and the typical characteristics of each group were discussed.

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Analysis of Parallel Mechanisms with Forward Position Closed-Form Solution with Application to Hybrid Manipulator (정위치 해석해를 가지는 병렬 메카니즘에 관한 분석과 혼합구조 매니퓰레이터로의 활용)

  • 김희국;이병주
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.3
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    • pp.324-337
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    • 1999
  • In this work, a new 3-PSP type spatial 3-degree-of-freedom parallel mechanism is proposed. And a 6 DOF hybrid manipulator which consists of a 3-PPR type planar 3 DOF parallel mechanism and a new 3-PSP type spatial 3-degree-of-freedom parallel mechanism is proposed. Both 3 DOF mechanism modules have closed-form forward position solutions and particularly, 3-PSP spatial module has unique forward position solution. Firstly, the closed-form position analysis and first-order kinematic analysis for the proposed 3-PSP type module are carried out, and the first-order kinematic characteristics are examined via maximum singular value and the isotropic index of the mechanism. It is shown through these analyses that the mechanism has excellent isotrpic property throughout the workspace. Secondly, position and kinematic analysis of the 3-PPR planar module are briefly described. Thirdly, the forward position analysis for the 3-PPR 3-PSP type 6 degree-of-freedom hybrid mechanism consisting of a 3-PPR planar module and a 3-PSP spatial module is performed along with the analysis of the workspace size and first-order kinematic characteristics. The kinematic characteristics of the proposed hybrid manipulator are compared to those of geometrically similar Stewart manipulator.

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The methodology on the application of EEG as a diagonostic measures in Korean Traditional Medicine (뇌파의 한의학적 진단 지표로의 활용 방안에 대한 연구초안)

  • Seo, Young-Hyo;Kim, Gyeong-Cheol;Kim, Bo-Kyung
    • Journal of Oriental Neuropsychiatry
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    • v.18 no.1
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    • pp.37-61
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    • 2007
  • Objective : By examining EEG status in Korean Traditional Medicine (KTM) from the viewpoint of 'form-qi theory(形氣論)', We wish to prepare for the fundamentals of applicability of KTM diagnoses to EEG. In addition, through reinterpretation of existing Western Medicine reports from the viewpoint of KTM, We tried to find out interrelationship between them. Method : In this paper, a methodology applicable to KTM diagnoses of EEG is presented from the EEG features in waveform characteristics, personalized diversity, and cognitive activity reflection. Results : Frequency bands are assigned to corresponding one of the eight trigrams in terms of yin/yang balance, which is analogous with EEG spectrum analysis mostly used in EEG quantification. The amplitude ratio of each EEG for each frequency band gives meaningful index numbers which can be used in EEG data interpretation, and every index number is named after the sixty four hexagrams. These approaches are adopted through both '4-band classification system and '6-band classification system', and applied to pre-existing reported EEG data obtained from normal adults. These analyses show that changes and distribution pattern in the index numbers are observed as a whole on both left-right line and front-back line connecting EEG measurement cephalic electrodes. And differences in distribution pattern of three index numbers deduced from '6-band classification system' are discussed according to constitution. Conclusion : The index numbers introduced here, which are the spectral power ratio for each EEG, are based on KTM yin/yang balance. These index numbers vary according to cephalic location, so its application in terms of traditional meridian theory is strongly expected. The index number distribution also shows different patterns according to constitution.

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Necessary conditions in the optimal control of nonlinear integral equations

  • Wang, Fu-Yang;Lee, In-Beum;Chang, Kun-Soo
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.947-951
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    • 1989
  • A Class of nonlinear distributed parameter control problems is first stated in a partial differential equation form in multi-index notion and then converted into an integral equation form. Necessary conditions for optimality in the form of maximum principle are then derived in Sobolev space W$^{l}$, p/(1 leq. p .leq. .inf.)..

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