• 제목/요약/키워드: Point Group Theory

검색결과 128건 처리시간 0.025초

REIDEMEISTER ORBIT SETS ON THE MAPPING TORUS

  • Lee, Seoung-Ho
    • 대한수학회논문집
    • /
    • 제19권4호
    • /
    • pp.745-757
    • /
    • 2004
  • The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. Let f : G $\longrightarrow$ G be an endomorphism between the fundamental group of the mapping torus. Extending Jiang and Ferrario's works on Reidemeister sets, we obtain algebraic results such as addition formulae for Reidemeister orbit sets of f relative to Reidemeister sets on suspension groups. In particular, if f is an automorphism, an similar formula for Reidemeister orbit sets of f relative to Reidemeister sets on given groups is also proved.

Crystal Structure and Tautomerism Study of the Mono-protonated Metformin Salt

  • Wei, Xiaodan;Fan, Yuhua;Bi, Caifeng;Yan, Xingchen;Zhang, Xia;Li, Xin
    • Bulletin of the Korean Chemical Society
    • /
    • 제35권12호
    • /
    • pp.3495-3501
    • /
    • 2014
  • A novel crystal, the mono-protonated metformin acetate (1), was obtained and characterized by elemental analysis, IR spectroscopy and X-ray crystallography. It was found that one of the imino group in the metformin cation was protonated along with the proton transfer from the secondary amino group to the other imino group. Its crystal structure was then compared with the previously reported diprotonated metformin oxalate (2). The difference between them is that the mono-protonated metformin cations can be linked by hydrogen bonding to form dimers while the diprotonated metformin cations cannot. Both of them are stabilized by intermolecular hydrogen bonds to assemble a 3-D supermolecular structure. The four potential tautomer of the mono-protonated metformin cation (tautomers 1a, 1b, 1c and 1d) were optimized and their single point energies were calculated by Density Functional Theory (DFT) B3LYP method based on the Polarized Continuum Model (PCM) in water, which shows that the most likely existed tautomer in human cells is the same in the crystal structure. Based on the optimized structure, their Wiberg bond orders, Natural Population Analysis (NPA) atomic charges, molecular electrostatic potential (MEP) maps were calculated to analyze their electronic structures, which were then compared with the corresponding values of the diprotonated metformin cation (cation 2) and the neutral metformin (compound 3). Finally, the possible tautomeric mechanism of the mono-protonated metformin cation was discussed based on the observed phenomena.

상담이론과 실제 교과목에서 사례기반 역할극을 활용한 교육이 간호대학생의 공감 및 의사소통 능력에 미치는 효과 (The Effects of Education Using Case-Based Role Playing in Counseling Theory and Actual Subjects on the Empathy and Communication Ability of Nursing Students)

  • 김선희;강문희
    • 한국엔터테인먼트산업학회논문지
    • /
    • 제15권3호
    • /
    • pp.221-229
    • /
    • 2021
  • 본 연구는 간호대학생들에게 상담이론과 실제 교과목을 전통적인 방법의 강의식 교육과 사례기반 역할극 교육을 적용하여 공감 능력과 의사소통 능력에 미치는 효과를 파악하기 위해 단일그룹 사전-사후 실험설계를 이용하였다. 연구대상자는 G 지역의 C간호대학에 재학 중인 2학년 전체 학생 중 상담이론과 실제 교과목을 수강하고 연구의 목적을 이해하며 연구 참여에 자발적으로 동의한 학생 66명을 대상으로 하였다. 교육과정은 총 15주의 수업에서 첫 오리엔테이션, 중간고사 및 기말고사 주를 제외하고 6주간 강의식 교육, 이후 6주간 사례기반의 역할극 교육을 하였고, 교육 전, 강의식 교육이 끝난 후, 사례기반의 역할극 교육이 끝난 후 3차례 설문조사를 실시하였다. 수집된 자료는 SPSS 26.0 프로그램을 이용하여 반복측정 분산분석을 이용하여 분석하였다. 본 연구의 결과, 간호대학생 20-29세로 선정하여 성별과 시점에 따라 프로그램의 효과를 비교해 보았을 때 대상자의 공감 능력은 그룹 또는 시점에 따라 유의한 차이가 없었다. 의사소통 능력은 그룹에 따라 유의한 차이가 없었으나 시점에 따라 유의한 차이가 있는 것으로 나타났다(F=4.20, p=.017). 따라서 상담이론과 실제 교과목에 사례기반 역할극을 활용한 교육의 적용은 강의식 교육보다 간호대학생의 의사소통 능력에 긍정적인 효과가 있음이 입증되었다.

EXITSENCE OF MILD SOLUTIONS FOR SEMILINEAR MIXED VOLTERRA-FREDHOLM FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCALS

  • LEE, HYUN MORK
    • 충청수학회지
    • /
    • 제28권3호
    • /
    • pp.365-375
    • /
    • 2015
  • Of concern is the existence, uniqueness, and continuous dependence of a mild solution of a nonlocal Cauchy problem for a semilinear mixed Volterra-Fredholm functional integrodifferential equation. Our analysis is based on the theory of a strongly continuous semigroup of operators and the Banach fixed point theorem.

IMPULSIVE FUZZY SOLUTIONS FOR ABSTRACT SECOND ORDER PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

  • CHALISHAJAR, DIMPLEKUMAR N.;RAMESH, R.
    • Journal of Applied and Pure Mathematics
    • /
    • 제4권1_2호
    • /
    • pp.71-77
    • /
    • 2022
  • This work considers the existence and uniqueness of fuzzy solutions for impulsive abstract partial neutral functional differential systems. To establish the existence and uniqueness, we apply the concept of impulse, semi group theory and suitable fixed point theorem.

합곡(合谷)$(LI_4)$에 행(行)한 염전보사(捻轉補瀉) 침자극(鍼刺戟)이 적외선(赤外線) 체열(體熱) 촬영(撮影)을 이용(利用)한 수양명대장경(手陽明大腸經)의 오수혈(五輸穴)과 영향(迎香)($(LI_{20})$)영역(領域)의 온도변화(溫度變化)에 미치는 영향(影響) (The Effects on the Thermal Changes of Five-Shu-Points(五輸穴) and Yonghyang$(LI_{20}$,迎香) of the Large Intestine Meridian with the Rotated Acupuncture-Bu-Xie(捻轉補瀉) on the Hapkok$(LI_4$,合谷), Using the D.I.T.I.)

  • 송범용;김경식;손인철
    • Korean Journal of Acupuncture
    • /
    • 제17권1호
    • /
    • pp.47-65
    • /
    • 2000
  • The meridian, the meridian point and the Acupuncture-Bu-Xie(鍼灸補瀉) of oriental medicine are very important in the Department of Acupuncture and Moxibustion. Until now it has been confused at the practical use, and it showed up many transformation to the ages and many scholars. And then, I made a study of effects on the thermal changes of Sangyang($LI_1$,商陽), Igan($LI_2$,二間), Samgan($LI_3$,三間), Hapkok($LI_4$,合谷), Yanggye($LI_5$,陽谿), Kokchi($LI_{11}$,曲池), Yonghyang($LI_{20}$,迎香) following acupuncture on the Hapkok with the Rotated Acupuncture-Bu-Xie(捻轉補瀉) stimulation. This study researched into clinical statistics for 140 men who are in good health, and they are studying oriental medicine at Woosuk university in Korea. This study was covered a period of 3 months form June, 1999 to August, 1999. The objective was divided into seven groups, those are the control group(CON, N=20), the acupuncture stimulation group with non-rotation on Hapkok of left hand(A-I, N=20), the acupuncture stimulation group with non-rotation on non-meridian point(NA) of left hand(A-II, N=20), the acupuncture stimulation group with Bu-rotation(捻轉補法) on Hapkok of left hand(B-I, N=20), the acupuncture stimulation group with Bu-rotation on non-meridian point(NA) of left hand(B-II, N=20), the acupuncture stimulation group with Xie-rotation(捻轉瀉法) on Hapkok of left hand(C-I, N=20), and the acupuncture stimulation group with Xie-rotation on non-meridian point of left hand(C-II, N=20). The first, I took a picture for 140 men with the Digital infrared thermal image(D.I.T.I.). After 10 minutes, I took a second picture for each group following experimental methods, those were followed acupuncture on the Hapkok and the non-meridian point with the retentive and Rotated Acupuncture-Bu-Xie stimulation. The results are summarized as follows : 1. The thermal changes of the area which is a meridian point in the Large Intestine Meridian of the acupuncture stimulation group on Hapkok different from the control groups with significantly change. 2.The thermal changes of the area which is a meridian point in the Large Intestine Meridian of acupuncture stimulation groups on non-meridian point was not significantly different from the control group. 3. The thermal changes of the area which is a meridian point in the Large Intestine Meridian of the acupuncture stimulation group with Bu-rotation on Hapkok different from the control group with significant increase. 4. The thermal changes of the area which is a meridian point in the Large Intestine Meridian of acupuncture stimulation group with Bu-rotation on non-meridian point was not significantly different from the control group. 5. The thermal changes of the area which is a meridian point in the Large Intestine Meridian of the acupuncture stimulation group with Xie-rotation on Hapkok different from the control group with significant decrease and increase following the decreasing or increasing temperature class, and the increasing temperature class of the acupuncture stimulation group with Xie-rotation on Hapkok significantly different from the acupuncture stimulation group with Bu-rotation on Hapkok. 6. The thermal changes of the area which is a meridian point in the Large Intestine Meridian of acupuncture stimulation group with Xie-rotation on non-meridian point was not significantly different from the control group. As a conclusion, I could think that the acupuncture stimulation with Bu-rotation or Xie-rotation on Hapkok affected the thermal change of the area which is a meridian point in the Large Intestine Meridian. And then I could relate these results with the existence of the meridian and meridian point, and with the Rotated Acupuncture-Bu-Xie theory of oriental medicine.

  • PDF

Stability Analysis for the Deployment of Unmanned Surface Vehicles

  • Dharne, Avinash G.;Lee, Jaeyong
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제39권2호
    • /
    • pp.159-165
    • /
    • 2015
  • Motion control schemes are generally classified into three categories (point stabilization, trajectory tracking, and path following). This paper deals with the problem which is associated with the initial deployment of a group of Unmanned Surface Vehicle (USVs) and corresponding point stabilization. To keep the formation of a group of USVs, it is necessary to set the relationship between each vehicle. A forcing functions such as potential fields are designed to keep the formation and a graph Laplacian is used to represent the connectivity between vehicle. In case of fixed topology of the graph representing the communication between the vehicles, the graph Laplacian is assumed constant. However the graph topologies are allowed to change as the vehicles move, and the system dynamics become discontinuous in nature because the graph Laplacian changes as time passes. To check the stability in the stage of deployment, the system is modeled with Kronecker algebra notation. Filippov's calculus of differential equations with discontinuous right hand sides is then used to formally characterize the behavior of USVs. The stability of the system is analyzed with Lyapunov's stability theory and LaSalle's invariance principle, and the validity is shown by checking the variation of state norm.

부동산 개발 및 공급 기업의 손익과 경영진의 위험 선호도 (Prospect Theory and Risk Preferences of Real Estate Development Companies)

  • 김병일;김원태;정도범
    • 한국건설관리학회논문집
    • /
    • 제23권1호
    • /
    • pp.83-88
    • /
    • 2022
  • 기업은 이윤을 추구하는 과정에서 투자안의 선택과 같은 위험이 따르는 의사결정을 해야 한다. 본 연구는 우리나라 건설기업 경영진의 의사결정을 프로스펙트 이론의 손실 회피 경향을 이용하여 설명하였다. 이를 위하여 건설업 중에서 가장 큰 위험을 부담해야 하는 부동산 개발 및 공급업에 종사하는 2,881개 기업의 20년치 재무 데이터를 수집하였다. 수집된 기업들을 준거점을 기준으로 대별하였고 회귀분석을 통하여 기업별 평균 수익률과 위험 선호도의 인과 관계를 실증적으로 분석하였다. 그 결과 준거점 상회 그룹에 대하여 기업의 자기자본이익률 평균이 줄어들면 추가적인 손실을 보지 않기 위하여 불확실성이 낮은 투자안을 선택하는 경향을 확인할 수 있었다. 또한, 준거점 하회 그룹에 대하여 기업의 자기자본이익률 평균이 작아지면 이익 영역으로 이동하기 위하여 불확실성이 큰 투자안을 선택하게 되는 경향도 확인하였다. 이 결과는 프로스펙트 이론의 손실 회피 경향에 정확하게 부합하는 결과이다.

식이이행 의도증진을 위한 중재가 고지혈증 근로자의 식이이행 의도 및 식이이행도에 미치는 영향 (The Effects of the Intention Promotion Program on the Diet of Workers with Hyperlipemia based on the Theory of planned Behavior)

  • 현혜진;박연환
    • 한국직업건강간호학회지
    • /
    • 제9권1호
    • /
    • pp.39-48
    • /
    • 2000
  • Hyperlipemia is the most leading risk factor of cardiovascular disease which is the main cause of death in Korea. However, there is a tendency to neglect the prevention and treatment since it has no specific symptoms. It has been reported that the level of serum-lipid can be lowered by the improvement of eating habits. Therefore, it is highly likely that the development of programs on the improvement of eating habits through behavioral theory is required to the community nursing practice. The theory of planned behavior, which assumes that human behaviors are determined by one's intention to carry out the behavior, can be characterized by the point that behaviors are not only individual factors but also social behaviors relating to subjective norms. It is widely recognized that this theory has a high predictability on health behavior due to it's simplicity clearness, and measurability as well as high quality of being general. Thus, the theory of planned behavior could be useful in developing a model of a health promotion program to the change of behaviors of the risk group of cardiovascular disease. Consequently, based on the theory of planned behavior, the purpose of this study is to develop an intention promotion program of the diet, and then to testify the effects. The sample of this study consisted of 26 industrial workers who had proved hyperlipemia from a medical examination in 1996 (experimental group 13, control group 13). The intention promotion program, which includes education, monitoring, pressure, counselling on the level of individuals, families and organizations, was conducted for 10 weeks The purpose of this program was to promoting intention of the diet through changes of the prerequisite factors of intention such as behavioral belief, outcome evaluation, normative belief and control belief. When it came to data analysis, the ${\chi}^2$-test and Fisher's Exact test were used to compare the general characteristics between the experimental and the control group, an independent t-test for the other variables. ANOVA was used to the test hypothesis, and the Pearson correlation test for variable's correlation. The results of this study can be summarized as follows ; 1) There was a significant increase in the intention(F=18.51, p=.00) of diet in the experimental group. 2) Diets(F=32.51, p=.001) in the experimental group were better carried out than in the control group. 5) There was a moderate correlation between the intention of diet and performance (r=.587. p=.003). From the results, it can be concluded that the intention promotion program is very effective, leading to the change of health promotion behavior. Above all, it is really valuable that the intention promotion program in this study regards health promotion behavior as a social behavior and that intervention was done on the level of family and organization. Consequently, when performing a health promotion program, social approach elevating the intention should go hand in hand in order to make the program effective.

  • PDF