• Journal of the Korean Mathematical Society
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• v.45 no.6
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• pp.1769-1784
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• 2008

The group Hameo (M, $\omega$) of Hamiltonian homeomorphisms of a connected symplectic manifold (M, $\omega$) was defined and studied in [7] and further in [6]. In these papers, the authors consistently used the $L^{(1,{\infty})}$-Hofer norm (and not the $L^{\infty}$-Hofer norm) on the space of Hamiltonian paths (see below for the definitions). A justification for this choice was given in [7]. In this article we study the $L^{\infty}$-case. In view of the fact that the Hofer norm on the group Ham (M, $\omega$) of Hamiltonian diffeomorphisms does not depend on the choice of the $L^{(1,{\infty})}$-norm vs. the $L^{\infty}$-norm [9], Y.-G. Oh and D. McDuff (private communications) asked whether the two notions of Hamiltonian homeomorphisms arising from the different norms coincide. We will give an affirmative answer to this question in this paper.

• Bulletin of the Korean Mathematical Society
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• v.53 no.2
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• pp.479-486
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• 2016

The norm N(G) of a group G is the intersection of the normalizers of all the subgroups of G. In this paper, the structure of finite groups with a cyclic norm quotient is determined. As an application of the result, an interesting characteristic of cyclic groups is given, which asserts that a finite group G is cyclic if and only if Aut(G)/P(G) is cyclic, where P(G) is the power automorphism group of G.

• Journal of Acupuncture Research
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• v.29 no.3
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• pp.89-99
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• 2012

Objectives : This study was performed to investigate the effect of simple acupuncture and electroacupuncture at Bai Hui($GV_{20}$) on heart rate variability in healthy adults with stress task. Methods : 40 healthy volunteers participated in this study. HRV was recorded before and after stress. And then simple acupuncture(SA group) was applied at $GV_{20}$ or electroacupuncture(EA group) was applied at the same spot in each treatment group for 20 minutes. No treatment was performed in control group for 20 minutes. Then HRV was recorded. Results : 1. In all groups, LF norm, LF/HF, HF norm showed significant changes after mental stress. 2. Control group showed no significant change. In SA group, HF norm LF, LF norm and LF/HF showed a significant change after treatment. In EA group, Mean HR, HF, LF norm, HF norm and LF/HF showed a significant change after treatment. In both treatment groups, there were significant differences after treatment compared to control group. 3. In EA group, HF and HF norm decreased significantly after treatment compared to SA group. Conclusions : These results suggest that simple acupuncture and electroacupuncture at $GV_{20}$ affect the balance of the autonomic nervous system and that electroacupuncture at $GV_{20}$ enhances parasympathetic activation more than simple acupuncture.

• Journal of Oriental Neuropsychiatry
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• v.15 no.1
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• pp.197-209
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• 2004

Objectives : The purpose of this case-control research was to investigate the effects of acupuncture stimulation on autonomic nervous system for patients with HRV and to find out relationship with anti-stress effects. Methods : The study group consists of 24 patients with self-recognition of stress as the case group, and 20 normal person as the control group by similar age. We measured HRV of case and control groups before acupuncture stimulation, prick acupuncture in Hegu(LI4), Taichong(Liv3), Shenme(H7), Neiguan(P6), Zusanli(S36). After treating for 20 minutes, measurement values of HRV and PSV were compared for pre-acupuncture and post-acupuncture. Results : 1. LF norm, HF norm, LF/HF between the case and control groups were significant different in HRV before acupuncture stimulation in the 1st experiment. 2. HRT, SDNN, SDSD, LF norm, HF norm, and LF/HF of the case group were significant different in HRV after acupuncture stimulation in the 1st experiment. HRT of the case group was significantly different in HRV after acupuncture stimulation in the 1st experiment. 3. LF norm, HF norm, LF/HF of the case group were significant different between the 1st and 2nd experiment in HRV before acupuncture stimulation. 4. LF norm, HF norm, and LF/HF were significant different between the 1st and 2nd experiment in HRV of patients whose symptoms improved. But HRV of patients whose symptoms unimproved didn't show significant difference. Conclusion : The results suggest that acupuncture stimulation is associated with changed activity in the sympathetic and parasympathetic nervous system. Measurement values of HRV is suitable to estimate the activity of automatic nervous system.

• The Journal of Korean Medicine Ophthalmology and Otolaryngology and Dermatology
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• v.18 no.3
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• pp.66-74
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• 2005

Objective: Stress is one of the most important etiological factors in our lives. Human body makes effort to keep his homeostasis from stress by using autonomic nerve system. So we need markers which can evaluate autonomic nerve system easily. HRV represents such markers. Sympathetic and Parasympathetic nerve system are part of autonomic nerve system, related with cur body and diseases in ENT, Dermatology, Ophthalmology are also deeply related with stress, Sympathetic and Parasympathetic nerve system. So we can expect that it can help understanding patients to evaluate autonomic nerve system with HRV Research Methods and Procedures: Forty one patients who have seif-recognized stress in Dept. of Oph & Otolaryngo & Dermatology were selected. SDNN. RMSSD, LF, HF, norm-LF, norm-HF, LF/HF ratio, LnLF, LnHF were checked. Results: Men showed lower SDNN, HF, and LnHF than women(p<0.05). Age over-forty group showed significant lower SDNN, LF, HF, LnLF, LnH(p<0.01), and lower RMSSD(p<0.05) than age under-forty group. There's no big differences for age at norm-LF, norm-HF, and LF/HF ratio. Skin disease group showed higher SDNN, RMSSD, LF, HF, LnLF, LNHF than the others, facial palsy group showed higher norm-HF. LF/HF ratio, and mouth-throat group showed higher norm-LF, but there's no statically significant difference. Comparing skin disease group with the others, the others showed statically significant low SDNN(P<0.01), RMSSD, LF, HF, LnLF and LnHF(P<0.05).

• Korean Journal of Acupuncture
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• v.21 no.2
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• pp.161-176
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• 2004

Objectives : The purpose of this study was to investigate the effects of acupuncture stimulation and relaxation therapy on autonomic nervous system for students with examination stress by HRV, PSV and to find out relationship with anti-stress effect. Methods : The study group consists of 42 students were classified into three groups randomly : acupuncture stimulation group(male n=8, female n=6), relaxation therapy group(male n=8, female n=6) and rest group(male n=8, female n=6). Using heart rate variability and pupil size variability, we measured the value of HRT, SDNN, SDSD, LF norm, HF norm, LF/HF ratio, Pupil area, and compared the changes the sympathetic- parasympathetic activity. Measurement value were compared before and after, during midterm examination and normal times. Results : 1. HRT, LF/HF ratio, LF norm of acupuncture group was significantly decreased and HF norm were significantly increased in HRV after acupuncture stimulation at a term of examination. While variables of the other group were no significantly different. 2. SDNN of acupuncture group were significantly increased in HRV after acupuncture stimulation at normal times. 3. Pupil area, LF norm, HF norm of three group were no significantly different in PSV at a term of examination. 4. Pupil area of relaxation group were significantly decreased in PSV at normal times. While variables of the other group were no significantly different. 5. HRT of rest group were significantly decreased in HRV between three groups at a term of examination and normal times. 6. Pupil area of relaxation group were significantly decreased in PSV between three groups at a term of examination and normal times. Conclusion : The results suggest that acupuncture stimulation is associated with changed activity in the sympathetic and parasympathetic nervous system. Measurement values of HRV and PSV are suitable to estimate the activity of automatic nervous system.

• Journal of Acupuncture Research
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• v.26 no.5
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• pp.49-56
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• 2009

Objectives : The purpose of this study was to assess the effect of Hwangryunhaedok-tang pharmacopuncture at $CV_{17}$ for reducing mental stress using power spectrum analysis of the heart rate variability(HRV). Methods : 30 healthy volunteers(control group: 15, experimental group: 15) participated in this study. After instrumentation and 5-minutes rest period, mental stress by operation was provided for 5-minutes. HRV was recorded before and after the mental stress. And then the control group rested for 15-minutes. The experimental group was injected Hwangryunhaedok-tang pharmacopuncture at $CV_{17}$ and rested for 15-minutes. And then HRV was recorded. Results : In simple rest group, LF norm and HF norm showed a significant change after mental stress. In pharmacopuncture group, LF norm, HF norm and LF/HF showed a significant change after mental stress. But there were no significant difference between two groups(p>0.05). In pharmacopuncture group, LF norm, HF norm and LF/HF showed a significant change after pharmacopuncture injection. There were significant difference between two groups(p<0.01). Conclusions : The result suggests that Hwangryunhaedok-tang pharmacopuncture at $CV_{17}$(Jeonjung) can regulate and prevent the alteration of autonomic nerve system due to mental stress.

• Journal of Acupuncture Research
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• v.27 no.2
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• pp.51-58
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• 2010

Objectives : The purpose of this study was to assess the effect of $PC_6$ moxibustion treatment for reducing mental stress using power spectrum analysis of the heart rate variability(HRV). Methods : 20 healthy volunteers(simple rest group : 10, moxibustion treatment group : 10) participated in this study. After instrumentation and 5-minutes rest period, mental stress by operation was provided for 5-minutes. HRV was recorded before and after the mental stress. And then the simple rest group rested for 15-minutes. The moxibustion treatment group was treated by $PC_6$ moxibustion and rested for 15-minutes. And then HRV was recorded. Results : In simple rest group, LF norm and HF norm showed a significant change after mental stress. In moxibustion treatment group, LF, HF, LF norm, HF norm and LF/HF showed a significant change after mental stress. But there were no significant difference between two groups(p>0.05) except HF. In moxibustion treatment group, LF, LF norm, HF norm and LF/HF showed a significant change after moxibustion treatment. There were significant differences between two groups(p<0.05). Conclusions : The result suggests that $PC_6$ moxibustion treatment can regulate and prevent the alteration of autonomic nerve system by mental stress.

• Korean Journal of Child Studies
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• v.37 no.4
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• pp.69-81
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• 2016

Objective: The literature on participant roles in bullying lacks empirical evidence to explicate what differentiates latent participation. The purpose of the present study was to examine social cognition in early adolescents (i.e., empathy, prosocial moral reasoning, and perceived group norm) with latent participants of bullying. Methods: The participants included 279 adolescents (129 girls; M age = 13.5 years) in two middle schools. Results: The result showed that empathy, prosocial moral reasoning, and perceived group norm were possible determinants of latent bullying. First, high levels of empathy (especially empathic concern and perspective taking) was associated with latent defenders. Second, helping decision of prosocial moral dilemma and prosocial moral reasoning were associated with complex situational cues. Third, latent reinforcer positively indentified the group norm with regard to bullying. Conclusion: The results are discussed in terms of practical implications for anti-bullying programs and educational practitioners.

• Journal of Acupuncture Research
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• v.29 no.6
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• pp.47-56
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• 2012

Objectives : This study was performed to investigate the effect of acupuncture at Yintang point(EX-$HN_3$) on heart rate variability in healthy adults with mental stress. Methods : 38 healthy volunteers(sham point group : 19, Yintang point group 19) participated in this study. The study was established by randomized trial. After 10 minutes rest period, mental stress was provided for 10 minutes. HRV was recorded before and after stress. And then simple acupuncture was applied at sham or Yintang point for 15 minutes. We measured HRV 3 times: before and after stress, and after acupuncture. Results : In sham point group, LF norm and HF norm changed significantly after mental stress. In Yintang point group, LF, HF, LF norm, HF norm and LF/HF showed a significant change after mental stress. In sham point group, all indicators were not affected after acupuncture. In Yintang point group, HF norm decreased significantly. LF, LF norm and LF/HF increased significantly. There were significant differences between two groups(p<0.05). Conclusions : The results suggest that acupuncture at Yintang point(EX-$HN_3$) can regulate and prevent the alteration of autonomic nerve system by mental stress.