• Title/Summary/Keyword: Quotient Group

Search Result 233, Processing Time 0.023 seconds

ON CONJUGACY OF p-GONAL AUTOMORPHISMS

  • Hidalgo, Ruben A.
    • Bulletin of the Korean Mathematical Society
    • /
    • v.49 no.2
    • /
    • pp.411-415
    • /
    • 2012
  • In 1995 it was proved by Gonz$\acute{a}$lez-Diez that the cyclic group generated by a p-gonal automorphism of a closed Riemann surface of genus at least two is unique up to conjugation in the full group of conformal automorphisms. Later, in 2008, Gromadzki provided a different and shorter proof of the same fact using the Castelnuovo-Severi theorem. In this paper we provide another proof which is shorter and is just a simple use of Sylow's theorem together with the Castelnuovo-Severi theorem. This method permits to obtain that the cyclic group generated by a conformal automorphism of order p of a handlebody with a Kleinian structure and quotient the three-ball is unique up to conjugation in the full group of conformal automorphisms.

Finite, Fiber-preserving Group Actions on Elliptic 3-manifolds

  • Peet, Benjamin
    • Kyungpook Mathematical Journal
    • /
    • v.62 no.2
    • /
    • pp.363-388
    • /
    • 2022
  • In two previous papers the author presented a general construction of finite, fiber- and orientation-preserving group actions on orientable Seifert manifolds. In this paper we restrict our attention to elliptic 3-manifolds. For illustration of our methods a constructive proof is given that orientation-reversing and fiber-preserving diffeomorphisms of Seifert manifolds do not exist for nonzero Euler class, in particular elliptic 3-manifolds. Each type of elliptic 3-manifold is then considered and the possible group actions that fit the given construction. This is shown to be all but a few cases that have been considered elsewhere. Finally, a presentation for the quotient space under such an action is constructed and a specific example is generated.

Development of a Home-based Nursing Intervention, Mothering Program for Low-Birth-Weight Infants (저체중출생아를 위한 가정간호형 모성역할중재 프로그램 개발과 그 효과에 대한 연구)

  • Han, Kyung-Ja
    • Journal of Home Health Care Nursing
    • /
    • v.8 no.1
    • /
    • pp.5-24
    • /
    • 2001
  • The purpose of this study was to develop a parenting intervention program and determine the efficacy of the program with low-birth weight infants and their mothers. Nine dyads for the experimental group and twelve dyads for the control group discharged from the Neonatal Intensive Care Unit of a University Hospital in Seoul were recruited for the study. For the intervention group, programmed education and support which focused on the maternal sensitivity of the infant's behavior. rearing environment. motherinfant interaction and infant care were given to each subject. Individual counseling and home visits were provided at discharge, one week after discharge. and one and three months of corrected age in every infant. Structured questionaires were administered and feeding interactions were videotaped and coded by a blinded certified observer. A Quasi-experimental design was conducted for this study. Postpartum depression, maternal self esteem. infant care burden, HOME. mother-infant interaction, and infant development were measured. Results were in favor of the intervention versus the control group. On the Beck depression inventory, intervention mothers showed decreasing trends in depressive symptom vs control mothers although, there were statistically no significant differences between the two groups at each time. The mean score of experimental group was 11.55(mild depression state) at discharge and became 8,6(normal state) at 1 month of corrected age. On the other hand, the mean score of the control group was 13.92(mild depression state) at discharge and became 14.0. Maternal self esteem in both groups improved over time. Infant care burden in both groups was also shown to increase over time. There was a significant difference between the two groups in HOME(p=.0340) at 3 months of corrected age. HOME scores of the experimental group and the control's were 31.10 and 25.58, respectively. Mothers' emotional and language responses were significantly high in the intervention group compared with the control group(p=.0155). Intervention group (53.33) showed a significantly high quality of motherinfant interaction compared with the in control group (42.80)(p =.0340). Intervention group mothers appeared have a better quality of mother-infant interaction behaviors. On the other hand, there was no statistical difference in the infant part between groups. Intervention group infants had higher trends in a general developmental quotient: although, there was no statistical difference between groups. The general developmental quotient of intervention infants was 102.56 and control's was 91.28. However, the developmental quotient of the domain of 'individuality-sociality' was higher in the intervention group infants compared with the control's(p=.0155). The concerns identified by parents revealed two domains of an infants' health management -knowledge and skills in caregiving of lowbirthweight-infants, characteristics of lowbirthweight infants, identifying a developmental milestone, coping with emergency situations and relaxation strategies of mothers from the infant care burden. Interview data with the mothers of low-birth weight infants can be used to develop intervention program contents. Limited intervention time and frequency due to time and cost limitations of this study should be modified. The intervention should be continuously implemented when low-birth weight infants become three years old. An NNNS demonstration appeared to be a very effective intervention for the mothers to improve the quality of mother-infant interactions. Therefore intervening in the mothers of low-birth weight infants as early after delivery as possible is desirable. This study has shown that home visit interventions are worthwhile for mothers only beyond the approach as an essential factor in ability of facilitating a growth fostering environment. In conclusion. the intervention program of this study was very effective in enhancing the parenting for the mothers of low-birth weight infants, resulting in health promotion of low-birth weight infants. The home-visit outreach intervention program of this study will contribute to the health delivery system in this country where there is a lack of continuous follow-up programs for low-birth weight infants after discharge from NICU, if it is activated as part of the home visit programs in community health systems.

  • PDF

A FREE ℤp-ACTION AND THE SEIBERG-WITTEN INVARIANTS

  • Nakamura, Nobuhiro
    • Journal of the Korean Mathematical Society
    • /
    • v.39 no.1
    • /
    • pp.103-117
    • /
    • 2002
  • We consider the situation that ${\mathbb{Z}_p}\;=\;{\mathbb{Z}/p\mathbb{Z}}$ acts freely on a closed oriented 4-manifold X with ${b_2}^{+}\;{\geq}\;2$. In this situation, we study the relation between the Seiberg-Witten invariants of X and those of the quotient manifold $X/{\mathbb{Z}}_p$. We prove that the invariants of X are equal to those of $X/{\mathbb{Z}}_p$ modulo p.

FUZZY HOMOMORPHISM THEOREMS ON GROUPS

  • Addis, Gezahagne Mulat
    • Korean Journal of Mathematics
    • /
    • v.26 no.3
    • /
    • pp.373-385
    • /
    • 2018
  • In this paper we introduce the notion of a fuzzy kernel of a fuzzy homomorphism on groups and we show that it is a fuzzy normal subgroup of the domain group. Conversely, we also prove that any fuzzy normal subgroup is a fuzzy kernel of some fuzzy epimorphism, namely the canonical fuzzy epimorphism. Finally, we formulate and prove the fuzzy version of the fundamental theorem of homomorphism and those isomorphism theorems.

The Study on the Effects of Vocal Function Exercise for Trained Singers (성악인의 발성능력 향상에 Vocal Function Exercise가 미치는 영향)

  • Kwon, Young-Kyung;Sim, Hyun-Sub;Jin, Sung-Min;Chung, Sung-Min
    • Speech Sciences
    • /
    • v.10 no.2
    • /
    • pp.169-189
    • /
    • 2003
  • Trained singers, one group of professional voice users, have much more interest on the voice than common people, and on its management, too. They train for singing beautiful songs, and, at the same time, try for efficient voice production. The present study was performed with three tenors and three baritones, undergraduate students majored in classical singing, to investigate the degree of improvement of their voice production efficiency through vocal function exercise, by measuring the three dependent variables, maximum phonation time, speed quotient of glottal contact, and the number of semi tones. For the baseline establishment, dependent variables were measured 3$\sim$6 times for two weeks. Then, the subjects exercised vocal function exercise for seven weeks, and after the termination of training, evaluation was performed four times for two weeks, to find the maintenance of the training effect. Vocal function exercise is composed of four successive steps: warm-up, stretching exercise, contracting exercise, power exercise. As results, all of six subjects showed improvement in the aspect of maximum phonation time, speed quotient if glottal contact, and the number of semitones.

  • PDF

Development of Korean Infant Developmental Assessment Scale (한국형 영아발달사정도구의 개발)

  • Han Kyung-Ja;Bang Kyung-Sook
    • Child Health Nursing Research
    • /
    • v.10 no.3
    • /
    • pp.321-331
    • /
    • 2004
  • Purpose: To develop an Infant Developmental Assesment Scale appropriate for Korean infants that includes cultural context. Method: The total sample included 990 infants aged birth to 24months. The developmental tests were conducted at hospital well baby clinic, daycare centers, public health centers and homes located in city, urban and rural areas. Item analysis was done to examine content validity of the scale. Test responses were analyzed by SPSS to examine the inter-rater reliability, and construct validity. Result: Based on the naturalistic observation and analysis of other developmenta l instruments, 260 Korean infant developmental items were created. The mean score of the developmental quotient of 966 infants was 101.63±10.89. Correlation coefficient of inter-rater reliability was .99. In addition, 84.6% of total items showed Kappa .70 and above. The development quotient was significantly different depending upon the residential area and father's occupation, therefore, construct validity using known group technique was supported. Conclusion: The developed instrument can be used to assess the development of handicapped infants, as well as normal infant's general abilities and to study individual differences within the normal range for Korean.

  • PDF

Optimization of Design Variables of a Train Suspension Using Neural Network Model (신경회로망 모델을 이용한 철도 현가장치 설계변수 최적화)

  • 김영국;박찬경;황희수;박태원
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.12 no.7
    • /
    • pp.542-549
    • /
    • 2002
  • Computer simulation is essential to design the suspension elements of railway vehicle. By computer simulation, engineers can assess the feasibility of given design variables and chance them to get a bettor design. Even though commercial simulation codes are used, the computational time and cost remains non-trivial. Therefore, malty researchers have used a mesa model made by sampling data through simulation. In this paper, four mesa-models for each index group such as ride comfort, derailment Quotient, unloading radio and stability index, are constructed by use of neural network. After these meta models are constructed, multi-objective optimization are achieved by using the differential evolution. This paper shows that the optimization of design variables using the neural network model is very efficient to solve the complex optimization Problem.

Evaluation of the dietary quality and nutritional status of elderly people using the Nutrition Quotient for Elderly (NQ-E) in Seoul (노인 영양지수 (NQ-E)를 이용한 서울 일부지역 노인의 식생활 및 영양 상태 평가)

  • Ham, Sun-Wook;Kim, Kyung-Hee
    • Journal of Nutrition and Health
    • /
    • v.53 no.1
    • /
    • pp.68-82
    • /
    • 2020
  • Purpose: This study evaluated the dietary quality and nutritional status of elderly people using the Nutrition Quotient for Elderly (NQ-E). Methods: The participants were 204 elderly people over 65 years of age (38 men and, 166 women) in Seoul. The dietary information was analyzed using a questionnaire of NQ-E, which consisted of 19 checklist items, and 24-recall test data. The NQ-E scores and its four factors, including 'balance', 'moderation', 'diversity', and 'dietary behavior' factors, were calculated according to general characteristics of the subjects. The subjects were divided into the 'monitoring needed group' (62 > NQ-E score) and the 'good group' (62 ≤ NQ-E score) according to their NQ-E score. Results: The mean NQ-E score of the total subjects was 61.9, which was within the mediumhigh grade. The scores of balance, moderation, and dietary behavior factors were within the medium-high grade, while the score of the diversity factor was within the medium-low grade. The NQ-E score was 54.8 in the monitoring needed group and 69.3 in the good group. For the score of the diversity factor, the elderly living alone had a significantly lower score than the score for the elderly living with a spouse. The female subjects showed significantly higher scores of moderation and dietary behavior factors than did the male subjects. The daily intakes of vitamin A, thiamin, riboflavin, vitamin C and calcium in the monitoring needed group were significantly lower than those in the good group. The nutrient adequacy ratios (NAR) of vitamin A, thiamin, riboflavin, vitamin C and calcium in the monitoring needed group were significantly lower compared to the scores of the good group. The indexes of nutritional quality (INQ) of vitamin A, thiamin, riboflavin, vitamin C, calcium and potassium were less than 1 for all the subjects. The monitoring needed group had a significantly lower consumption of total foods, vegetables and mushrooms than the good group. As a result, the nutritional status of the monitoring needed group was significantly lower than that of the good group. Conclusion: The results of this study show that NQ-E would be a useful tool for assessing the dietary quality of the elderly. In conclusion, a focused-nutrition education program and a useful guideline are needed for promoting the health and nutritional status in elderly people.

Effect of Aroma Blended Oil Inhalation on Brain Quotient(B.Q) (Aroma Blending oil 흡입이 B.Q에 미치는 효과)

  • Kim, Do Hyeon
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.21 no.11
    • /
    • pp.44-52
    • /
    • 2020
  • This study was conducted to investigate the effect on Brain Quotient from inhalation of blended oils. The subjects of the study were 64 people aged 20 to 59 years, with 32 in the experimental group and 32 in the control group. Blended oil with six aromas (Lavender, Bergamot, Mandarin, Lemon, Cedarwood, Roman Chamomile) was given to the experimental group, and Jojoba oil was given to the control group, for 30 minutes. Before and after the experiment, BQ tests (SRQ, BRQ, ATQ, ACQ, EQ, ASQ, CQ, and BQ) from the experimental group and the control group were compared and analyzed using a brain-training machine (NeuroHarmony S). There was a significant difference between the experimental group and the control group in three out of the eight tests analyzed ATQ (p<.05), ACQ (p<.05), BQ (p<.05). In other words, aromatherapy improves concentration and memory by increasing attention, and helps to maintain mental activity, thinking ability, and behavioral balance. BQ also represents a comprehensive brain function, and aromatherapy is a good way to maintain human mental and physical health.