• Title/Summary/Keyword: group action

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SHADOWABLE POINTS FOR FINITELY GENERATED GROUP ACTIONS

  • Kim, Sang Jin;Lee, Keonhee
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.4
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    • pp.411-420
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    • 2018
  • In this paper we introduce the notion of shadowable points for finitely generated group actions on compact metric spaace and prove that the set of shadowable points is invariant and Borel set and if chain recurrent set contained shadowable point set then it coincide with nonwandering set. Moreover an action $T{\in}Act(G, X)$ has the shadowing property if and only if every point is shadowable.

Effect of a Combined Functional Electrical Stimulation with Action Observation Training on the Upper Limb Global Synkinesis and Function of Patients with Stroke

  • Kang, Jeongil;Kim, Huikyeong;Jeong, Daekeun;Park, Seungkyu;Yang, Daejung;Kim, Jeho;Moon, Youngjun
    • Journal of International Academy of Physical Therapy Research
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    • v.11 no.1
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    • pp.2012-2020
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    • 2020
  • Background: Multifaceted approaches will be needed, such as global synkinesis (GS) achieve functional improvements in the arms of stroke patients from involuntary movements during exercise. Objective: To identify changes in arm GS and muscle activity, functional evaluation and the correlation with variables through action observation training, combined with functional electrical stimulation (FES), thereby verifying the effect on stroke patients. Design: A quasi-experimental study. Methods: The subjects of this study were 20 stroke patients who were divided into two groups: Control group (n=10) and experimental group (n=10). Before the intervention, arm GS and muscle activity were measured using surface electromyography (EMG), and arm function was evaluated using the Fugl-Meyer Assessment (FMA) scale. At the end of the intervention, which lasted 4-wk, arm GS and muscle activity were measured again using the same scale. Results: There was a decrease statistically significant difference in GS during the bending action in experimental group (P<.01). Both groups showed a significant difference increased only in the activity of the anterior deltoid (AD) and biceps brachii (BB) (P<.05). The results of the arm functional assessment revealed a significant difference increase in both groups (P<.05). In the between-group comparison, there was a significant difference decrease in GS during the bending action (P<.05). Only the muscle activity of the AD and BB were significantly increase different (P<.05). There was a significant between-group difference increase in the arm functional assessment (P<.05). There was a positive correlation between GS and muscle activity on the FMA in the control group (r=.678, P<.05). In experimental group, GS during the bending arm action exhibited a negative correlation (r=-.749, P<.05), and the muscle activity of the AD and BB showed a positive correlation (r=.701, P<.05). Furthermore, in experimental group, the activity of the extensor carpi radialis increased, and the activity of the flexor carpi radialis decreased, which exhibited a negative correlation (r=-.708, P<.05). Conclusion: These results suggest that brain plasticity could be more efficiently stimulated by combining surface stimulation in the affected arm of stroke patients.

The Effect of Action Learning Approaches on Problem-solving Skills and Self Directed Learning Skills of Nursing Undergraduate Students (액션러닝기반 간호과정 학습프로그램이 문제해결능력 및 자기주도적 학습능력에 미치는 효과)

  • Kim, Su-Mi
    • The Journal of the Korea Contents Association
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    • v.16 no.12
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    • pp.35-42
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    • 2016
  • The purpose of this study is to examine the effect of action learning approaches on problem-solving skills and learning agency of nursing undergraduate students. This experimental study is designed for a nonequivalent control group. The program was put into practice 2 times a week for 4 weeks. The number of subjects in this research consists of 105, where 53 of the experimental group participated in action learning program and 52 of the control group didn't do. The data was analyzed by ${\chi}^2$-test, Chi-Square test, t-test and paired t-test. The effects of action learning approaches on learning outcomes in nursing process courses are as follows: The problem solving ability of the experimental group has been more elevated than that of the control group. The experimental group has made increase in self directed learning skills. The action learning approaches on learning outcomes in nursing process courses are convenient in nursing process courses. This study has significance in that it identified the availability of the action learning program and that it would be useful teaching and learning method to achieve learning outcomes.

An Impact of Action-Observation Training and Task-Oriented Training on Activities of Daily Living of Stroke Patients (동작관찰 훈련과 과제지향적 훈련이 뇌졸중 환자의 일상생활활동에 미치는 영향)

  • Gu, Younghwa;Kim, Bora
    • Journal of The Korean Society of Integrative Medicine
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    • v.1 no.3
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    • pp.19-28
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    • 2013
  • Purpose : The purpose of this study was to find out the impact of action-observation training and task-oriented training on activities of daily living performance of stroke patients. Method : 30 stroke patients hospitalized in D hospital located in Busan and treated were randomly allocated to Action-Observation Training Group and Task-Oriented Training Group in fifteens. To compare activities of daily living performance before and after therapy intervention, Korea-modified Barthel index (K-MBI) was carried out. Result : In both groups, activities of daily living performance of stroke patients before and after therapy intervention showed statistically significant differences (p<.05) and activities of daily living performance between two groups after therapy intervention showed statistically significant differences. Conclusion : It was found that action-observation training and task-oriented training improved activities of daily living performance of stroke patients. It is considered that the application of action-observation training and task-oriented training to clinical occupational therapy will show a positive effect on the improvement of activities of daily living performance.

THE ZERO-DIVISOR GRAPH UNDER A GROUP ACTION IN A COMMUTATIVE RING

  • Han, Jun-Cheol
    • Journal of the Korean Mathematical Society
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    • v.47 no.5
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    • pp.1097-1106
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    • 2010
  • Let R be a commutative ring with identity, X the set of all nonzero, nonunits of R and G the group of all units of R. We will investigate some ring theoretic properties of R by considering $\Gamma$(R), the zero-divisor graph of R, under the regular action on X by G as follows: (1) If R is a ring such that X is a union of a finite number of orbits under the regular action on X by G, then there is a vertex of $\Gamma$(R) which is adjacent to every other vertex in $\Gamma$(R) if and only if R is a local ring or $R\;{\simeq}\;\mathbb{Z}_2\;{\times}\;F$ where F is a field; (2) If R is a local ring such that X is a union of n distinct orbits under the regular action of G on X, then all ideals of R consist of {{0}, J, $J^2$, $\ldots$, $J^n$, R} where J is the Jacobson radical of R; (3) If R is a ring such that X is a union of a finite number of orbits under the regular action on X by G, then the number of all ideals is finite and is greater than equal to the number of orbits.

Effects of the Saponin of Polygalae Radix on the Renal Function and CNS-Depression (원지(遠志) Saponin의 이뇨효과(利尿效果) 및 중추억제작용(中樞抑制作用)에 관한 연구(硏究))

  • Park, Dai-Kyu;Lee, Wan-Ha
    • Korean Journal of Pharmacognosy
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    • v.14 no.4
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    • pp.178-192
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    • 1983
  • Polygalae Radix was used as diuretics, analgesics and expertorants in oriental medicine. The root of Polygala tenuifolia Willd. (Polygalaceae) is comprised saponin (Onjisaponin A,B,C,D,E,F and G) polygalitol, onsitin and sugars. The pharmacological action of crude Polygala-saponin (PS) obtained from the roots are studied. The following results were obtained; 1) The median lethal dose $(LD_{50})$ of PS in mice is presented 71.1mg/kg s.c. and 694. 5mg/kg p.o.. 2) PS demonstrated diuretic action of relatively long acting duration in mice. 3) The diuretic mechanism of PS was found due to inhibitory effect of renal tubular reabsorption of electrolytes and glomerular vascular dilatation. 4) The group, administered simultaneously PS and cefadroxil monobydrate was significantly increased with PS alone group on diuretic action. Synergistic effect cefadroxil monohydrate on the diuretic action of PS seems due to competitive inhibition of plasma protein binding with PS. 5) PS demonstrated analgesic action by the acetic acid stimulating method and Randall-Selitto test in mice. 6) PS presented antipyretic action against febrile treated with the typhoid vaccine. 7) PS was significantly prolonged against the hypnotic duration of pentobarbital in mice. 8) Onset time convulsion and death induced by picrotoxin and strychnine in mice were not delayed. According to the above results, the PS was identified as a pharmacological active component obtained from roots of Polygala tenuifolia Willd.

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Comparative Analysis of Open- Spike between Excellent and Non-excellent Players in Volleyball (배구 우수선수와 비우수선수간의 오픈 스파이크 동작의 비교 분석)

  • Kim, Chang-Bum;Kim, Young-Suk;Shin, Jun-Yong
    • Korean Journal of Applied Biomechanics
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    • v.13 no.3
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    • pp.253-264
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    • 2003
  • This study aims at finding the structure of spike technique by analysing comparatively the spike action by excellent and by non-excellent players throughout the section from a flying jump to the time of landing for the correct analysis of spike action and tries to help athletes and coaches to execute a scientific training. For the objected person of this study, six of H College athletes three of excellent athletes and three of non-excellent athletes, presently registered as athlete with the Korea Volleyball federation) were chosen, and the factors of analysis were analysed upon performance time of action by section, human body centered displacement, change of articulation angle, speed change of articulation of the upper limbs, uniformity of the articulation of the upper limbs upon impact, etc. The conclusion of this study is as follow: 1. In the time required for taking action, it shows to take $1.067{\pm}0.057$ seconds for the group of excellent athletes and $1.034{\pm}0.033$ seconds for the group of non-excellent athletes. Although there was not big difference between two groups in the performance time of action, it showed that the group of excellent athletes takes longer compared to the group of non-excellent athletes. And it was found by the result of this study that the group of excellent athletes stays longer in the duration of flight. 2. In the displacements of horizontal movement and vertical movement, it was found that the group of excellent athletes have moved more than the group of non-excellent athletes in the horizontal movement of the center of human body 3. In the angles of wrist and knee, it was found that the excellent athletes have shown little than the non-excellent athletes in the entire sections, but that in the angle of elbow, the non-excellent athletes have shown bigger than the excellent athletes.. 4. In the speed of the articulation of the upper limbs upon impact, it was found that the group of excellent athletes have shown bigger than the group of non-excellent athletes, and that in the maximum value of the articulation of the upper limbs, the maximum value for the hand was indicated upon impact and that forearm and upper arm have shown the maximum value just before the impact. 5. In the uniformity of articulation of the upper limbs at the time of impact, the group of excellent athletes showed bigger than the group of non-excellent athletes in all the articulations.

REGULAR ACTION IN ℤn

  • Jeong, Jinsun;Park, Sangwon
    • East Asian mathematical journal
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    • v.33 no.3
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    • pp.257-263
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    • 2017
  • Let n be any positive integer and ${\mathbb{Z}}_n=\{0,1,{\cdots},n-1\}$ be the ring of integers modulo n. Let $X_n$ be the set of all nonzero, nonunits of ${\mathbb{Z}}_n$, and $G_n$ be the group of all units of ${\mathbb{Z}}_n$. In this paper, by investigating the regular action on $X_n$ by $G_n$, the following are proved : (1) The number of orbits under the regular action (resp. the number of annihilators in $X_n$) is equal to the number of all divisors (${\neq}1$, n) of n; (2) For any positive integer n, ${\sum}_{g{\in}G_n}\;g{\equiv}0$ (mod n); (3) For any orbit o(x) ($x{\in}X_n$) with ${\mid}o(x){\mid}{\geq}2$, ${\sum}_{y{\in}o(x)}\;y{\equiv}0$ (mod n).

ON ACTION OF LAU ALGEBRAS ON VON NEUMANN ALGEBRAS

  • Mohammad, Ramezanpour
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.2
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    • pp.557-570
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    • 2015
  • Let $\mathbb{G}$ be a von Neumann algebraic locally compact quantum group, in the sense of Kustermans and Vaes. In this paper, as a consequence of a notion of amenability for actions of Lau algebras, we show that $\hat{\mathbb{G}}$, the dual of $\mathbb{G}$, is co-amenable if and only if there is a state $m{\in}L^{\infty}(\hat{\mathbb{G}})^*$ which is invariant under a left module action of $L^1(\mathbb{G})$ on $L^{\infty}(\hat{\mathbb{G}})^*$. This is the quantum group version of a result by Stokke [17]. We also characterize amenable action of Lau algebras by several properties such as fixed point property. This yields in particular, a fixed point characterization of amenable groups and H-amenable representation of groups.

REPRESENTATION AND DUALITY OF UNIMODULAR C*-DISCRETE QUANTUM GROUPS

  • Lining, Jiang
    • Journal of the Korean Mathematical Society
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    • v.45 no.2
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    • pp.575-585
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    • 2008
  • Suppose that D is a $C^*$-discrete quantum group and $D_0$ a discrete quantum group associated with D. If there exists a continuous action of D on an operator algebra L(H) so that L(H) becomes a D-module algebra, and if the inner product on the Hilbert space H is D-invariant, there is a unique $C^*$-representation $\theta$ of D associated with the action. The fixed-point subspace under the action of D is a Von Neumann algebra, and furthermore, it is the commutant of $\theta$(D) in L(H).