• Title/Summary/Keyword: Domain degree

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INVARIANCE OF DOMAIN THEOREM FOR DEMICONTINUOUS MAPPINGS OF TYPE ( $S_+$)

  • Park, Jong-An
    • Bulletin of the Korean Mathematical Society
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    • v.29 no.1
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    • pp.81-87
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    • 1992
  • Wellknown invariance of domain theorems are Brower's invariance of domain theorem for continuous mappings defined on a finite dimensional space and Schauder-Leray's invariance of domain theorem for the class of mappings I+C defined on a infinite dimensional Banach space with I the identity and C compact. The two classical invariance of domain theorems were proved by applying the homotopy invariance of Brower's degree and Leray-Schauder's degree respectively. Degree theory for some class of mappings is a useful tool for mapping theorems. And mapping theorems (or surjectivity theorems of mappings) are closely related with invariance of domain theorems for mappings. In[4, 5], Browder and Petryshyn constructed a multi-valued degree theory for A-proper mappings. From this degree Petryshyn [9] obtained some invariance of domain theorems for locally A-proper mappings. Recently Browder [6] has developed a degree theory for demicontinuous mapings of type ( $S_{+}$) from a reflexive Banach space X to its dual $X^{*}$. By applying this degree we obtain some invariance of domain theorems for demicontinuous mappings of type ( $S_{+}$). ( $S_{+}$).

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The Study on the Socialization of Household Work (가사노동 사회화에 관한 연구)

  • 김영숙;심미영
    • Journal of Families and Better Life
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    • v.9 no.2
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    • pp.191-207
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    • 1991
  • The purpose of this study is to investigate the degree of socialization of household work and to analyze the influence of demographic and psycho-social variable on socialization of household work. For the purpose of this study, questionnaires were administrated to 314 housewives in Pusan. For the statistical analysis were as follows; 1)The degree of socialization in the domain of food showed significant difference by number of family, number of children, housewife's age, housewife's education, husband's education, income and sex-role attitude. The degree of socialization in the domain of housing showed significant difference by family pattern, housewife's education, husband's education, state of housewife employment. husband's occupation , income and sex-role attitude. The degree of socialization in the domain of clothing showed significant difference by housewife's age, housewife's education, husband's education , state of housewife employment. husband's occupation, income and sex-role attitude. The degree of socialization in the domain of family management showed significant difference by number of children, housewife's age. state of housewife employment, income, period of marriage life and sex-role attitude. The degree of socialization in the domain of home management showed significant difference by housewife's education, husband's occupation, sex-role attitude and share of household work. 2) The socialization in the domain of food was influenced husband's education, income, housewife's education and sex-role attitude. The socialization in the domain of housing was influenced husband's education, income, housewife's occupation and sex-role attitude. The socialization in the domain of clothing was influenced husband's education, income. housewife's occupation and sex-role attitude. The socialization in the domain of family management was influenced husband's education, shave of household work. and sex-role attitude. The socialization in the domain of home management was influenced husband's education, shave of household work, and sex-role attitude.

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A Novel Fast-Switching LCD with Dual-Domain Bend Mode

  • Satake, Tetsuya;Kurata, Tetsuyuki
    • 한국정보디스플레이학회:학술대회논문집
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    • 2004.08a
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    • pp.209-212
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    • 2004
  • A navel fast-switching LCD with dual-domain bend (DDB) mode is described DDB alignment is achieved using antiparallel-rubbed cell filled with chiral-doped LC. Initial alignment is mono-domain 180-degree twist. Tilt direction is controlled by oblique electric field to be counter direction in each domain Twist-to-DDB deformation occurs continuously so that DDB mode does not require high-voltage initialization which is inevitable in Optically Compensated Bend (OCB) mode. DDB gives wide and symmetric viewing angle in contrast to mono-domain bend formed from 180-degree twist showing strong asymmetry.

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FUNCTION APPROXIMATION OVER TRIANGULAR DOMAIN USING CONSTRAINED Legendre POLYNOMIALS

  • Ahn, Young-Joon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.9 no.2
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    • pp.99-106
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    • 2005
  • We present a relation between the orthogonality of the constrained Legendre polynomials over the triangular domain and the BB ($B{\acute{e}zier}\;-Bernstein$) coefficients of the polynomials using the equivalence of orthogonal complements. Using it we also show that the best constrained degree reduction of polynomials in BB form equals the best approximation of weighted Euclidean norm of coefficients of given polynomial in BB form from the coefficients of polynomials of lower degree in BB form.

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A Novel Fast-Switching LCD with Dual-Domain Bend Mode

  • Satake, Tetsuya;Kurata, Tetsuyuki
    • Journal of Information Display
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    • v.5 no.2
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    • pp.39-42
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    • 2004
  • A novel fast-switching LCD with dual-domain bend (DDB) mode is described. DDB alignment is achieved using antiparallel-rubbed cell filled with chiral-doped LC. Initial alignment is mono-domain 180-degree twist. Tilt direction is controlled by oblique electric field to be counter direction in each domain. Twist-to-DDB deformation occurs continuously so that DDB mode does not require high-voltage initialization which is inevitable in Optically Compen sated Bend (OCB) mode. DDB gives wide and symmetric viewing angle in contrast to mono-domain bend formed from 180-degree twist showing strong asymmetry.

Experimental study on the periodontal regenerative capacity of moldable synthetic peptide domain gel in degree III furcation defect of beagles (성견의 3급 이개부 병변에서 성형성 합성 펩타이드 젤의 치주재생 능력에 관한 실험적 연구)

  • Kim, Jeong-Beom;Park, Yoon-Jeong;Lee, Sang-Cheol;Kim, Tae-Il;Seol, Yang-Jo;Lee, Yong-Moo;Gu, Young;Rhyu, In-Chul;Han, Soo-Boo;Chung, Chong-Pyoung
    • Journal of Periodontal and Implant Science
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    • v.38 no.4
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    • pp.621-628
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    • 2008
  • Purpose: Osteopontin is one of the major non-collagenous protein of hard tissue. Use of peptide domain of biologically active protein has some advantages. The objective of this experimental study is evaluation of periodontal regenerative potency of synthetic peptide gel which containing collagen binding domain of osteopontin in the degree III periodontal defect of beagle dogs. Material and Methods: Experimental degree III furcation defect was made in the mandibular third and fourth premolar of beagles. Regenerative material was applied during flap operation. 8 weeks after regenerative surgery, all animals were sacrificed and histomorphometric measurement was performed to calculate the linear percentage of the new cementum formation and the volume percentage of new bone formation. Result: The linear percent of new cementum formation was 41.6% at control group and 67.1% at test group and there was statistically significant difference. The volume percent of new bone formation was 52.1% at control group and 58.9% at test group. Conclusion: As the results of present experiment, synthetic peptide gel containing collagen binding domain of osteopontin significantly increase new bone and cementum formation in the degree III furcation defect of canine mandible.

Stress and Burn-Out Experience in Caregivers of Patients with Senile Dementia (치매환자 부양자의 스트레스와 소진경험)

  • Son, Gye-Soon
    • Journal of Korean Academy of Rural Health Nursing
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    • v.1 no.1
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    • pp.40-48
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    • 2006
  • Purpose: This study was done to identify the experience of stress and burn-out in caregivers of patients with senile dementia. Method: To evaluate the degree of stress and burn-out in caregivers of patients with senile dementia, 64 caregivers and matched to 64 patients with senile dementia at a Primary Health Care Post in South Kyung Sung Province were selected. The study was carried out from March 6 to March 30, 2001. Data on the degree of dementia in the patients was measured by the MMSE-K (Mini-Mental State Examination-Korea) and caregiver characteristics such as, sex, age, marital status, educational level, job, socioeconomic status, religion, number in family, relationship with patient, duration of care, and chronic disease in caregiver were collected by direct interview with a questionnaire. Results: Of 64 patients with senile dementia, 15.6% were classified as mild dementia (MMSE score 20-24) and 84.4%, as severe dementia. There were no significant characteristics of caregivers associated with the degree of stress and burn-out experience. The degree of burn-out in these caregivers of patients with severe dementia (mean value 94.3) was significantly higher than the 81.4 for those caring for patients with mild dementia (p<0.05). However, the degree of stress was not significantly related with the degree of dementia. The proportion experiencing severe burn-out (above score 4) was 54.7% in the physical domain, 90.6% in the emotional domain, and 73.4% in psychiatric domain, respectively. Conclusion: The above findings suggest that the degree of stress and burn-out experienced by caregivers of patients with senile dementia are high. Also the degree of burn-out experienced by in caregivers of patients with severe dementia was higher than for those caring for patients with mild dementia.

A Study on the Degrees of Death Orientation and Terminal Care Performance of Nurses (간호사들의 죽음에 대한 성향과 임종간호수행 정도)

  • Park Soon-Joo;Choi Soon-Hee
    • Journal of Korean Academy of Fundamentals of Nursing
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    • v.3 no.2
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    • pp.285-297
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    • 1996
  • This study has been done for the purpose of investigating the degrees of death orientation and terminal care performance. The factors related to these two variables, and the relationship between death orientation and terminal care performance. The subjects of study were 128 nurses who implemented nursing care for terminally ill patients at C University Hospital in Kwang Ju city. The data were collected from March 13 to 19, 1996, by means of Death Orientation by Thorson Powell(1988) and Terminal Care Performance Scale by researcher. The data were analysed by t-test, ANOVA, Duncan test and Pearson's correlation coefficient. The Results of this study were summarized as follows : 1. The mean score of death orientation was 61.4. The degree of death orientation showed no significant difference depending on the general characteristics of nurses. 2. The mean score of terminal care performance was 45.5. In comparison of the degree of terminal care performance among three domains, the mean score of each item tended to show higher degrees in order of 'Psychological domain(2.4)', 'Physical domain(2.2)', 'Spiritual domain(1.9)'. 3. The degree of terminal care performance showed significant differences in age(F=11.48 p=.0001), marital status(t=10.49 p=.0015), religion(t=5.01 p=.0270), period of clinical experience(F=10.30 p=.0001) and ward unit(F=3.73 p=.0036). The degree of terminal care performance in physical domain showed significant differences in age(F=7.26 p=.0010), marital status(t=9.72 p=.0023), period of clinical experience(F=7.03 p=.0013), ward unit(F=6.23 p=.0001). The degree of terminal care performance in psychological domain showed significant differences in age(F=8.73 p=.0003), marital status(t=4.22 p=.0419), religion(t=5.59 p=.0196), period of clinical experience(F=6.36 p=.0023), ward unit(F=3.33 p=.0075). The degree of terminal care performance in spiritual domain showed significant differences in age(F=8.30 p=.0004), marital status(t=10.45 p=.0016), religion(F=5.41 p=.0216), period of clinical experience(F=8.80 p=.0003). 4. The relationship between the degrees of death orientation and terminal care performance showed no correlation(r=-.026 p=.7746).

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EXISTENCE OF THE THIRD POSITIVE RADIAL SOLUTION OF A SEMILINEAR ELLIPTIC PROBLEM ON AN UNBOUNDED DOMAIN

  • Ko, Bong-Soo;Lee, Yong-Hoon
    • Journal of the Korean Mathematical Society
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    • v.39 no.3
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    • pp.439-460
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    • 2002
  • We prove the multiplicity of ordered positive radial solutions for a semilinear elliptic problem defined on an exterior domain. The key argument is to prove the existence of the third solution in presence of two known solutions. For this, we obtain some partial results related to three solutions theorem for certain singular boundary value problems. Proof are mainly based on the upper and lower solutions method and degree theory.