• The Mathematical Education
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• v.12 no.2
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• pp.5-12
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• 1974

단위원을 가지는 하환환에 있어서의 Prime Spectrum에 관하여 다음 세가지 사실을 증명하였다. 1. X를 환 R의 prime spectrum, C(X)를 X에서 정의되는 실연적함수의 환, X를 C(X)의 maximal spectrum이라 하면 X는 C(X)의 prime spectrum의 부분공간으로서의 한 T-space로 된다. N을 환 R의 nilradical이라 하면, R/N이 regula 이면 X와 X는 위상동형이다. 2. f: R$\longrightarrow$R'을 ring homomorphism, P를 R의 한 Prime ideal, $R_{p}$, R'$_{p}$를 각각 S=R-P 및 f(S)에 관한 분수환(ring of fraction)이라 하고, k(P)를 local ring $R_{p}$의 residue' field라 할 때, R'의 prime spectrum의 부분공간인 $f^{*-1}$(P)는 k(P)(equation omitted)$_{R}$R'의 prime spectrum과 위상동형이다. 단 f*는 f*(Q)=$f^{-1}$(Q)로서 정의되는 함수 s*:Spec(R')$\longrightarrow$Spec(R)이다. 3. X를 환 S의 prime spectrum, N을 R의 nilradical이라 할 때, 다음 네가지 사실은 동치이다. (1) R/N 은 regular 이다. (2) X는 Zarski topology에 관하여 Hausdorff 공간이다. (3) X에서의 Zarski topology와 constructible topology와는 일치한다. (4) R의 임의의 원소 f에 대하여 f를 포함하지 않는 R의 prime ideal 전체의 집합 $X_{f}$는 Zarski topology에 관하여 개집합인 동시에 폐집합이다.폐집합이다....

• Bulletin of the Korean Mathematical Society
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• v.57 no.4
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• pp.991-1002
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• 2020

We show that when n > m, the following delay differential equation fⁿ(z)f'(z) + p(z)(f(z + c) - f(z))^m = r(z)e^q(z) of rational coefficients p, r doesn't admit any transcendental entire solutions f(z) of finite order. Furthermore, we study the conditions of α₁, α₂ that ensure existence of transcendental meromorphic solutions of the equation fⁿ(z) + f^n-2(z)f'(z) + P_d(z, f) = p₁(z)e^α₁(z) + p₂(z)e^α₂(z). These results have improved some known theorems obtained most recently by other authors.

• Bulletin of the Korean Mathematical Society
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• v.51 no.6
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• pp.1829-1839
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• 2014

Let (${\Omega}$, $\mathcal{S}$, ${\mu}$) be a probabilistic measure space, ${\varepsilon}{\in}\mathbb{R}$, ${\delta}{\geq}0$, p > 0 be given numbers and let $P{\subset}\mathbb{R}$ be an open interval. We consider a class of functions $f:P{\rightarrow}\mathbb{R}$, satisfying the inequality $$f(EX){\leq}E(f{\circ}X)+{\varepsilon}E({\mid}X-EX{\mid}^p)+{\delta}$$ for each $\mathcal{S}$-measurable simple function $X:{\Omega}{\rightarrow}P$. We show that if additionally the set of values of ${\mu}$ is equal to [0, 1] then $f:P{\rightarrow}\mathbb{R}$ satisfies the above condition if and only if $$f(tx+(1-t)y){\leq}tf(x)+(1-t)f(y)+{\varepsilon}[(1-t)^pt+t^p(1-t)]{\mid}x-y{\mid}^p+{\delta}$$ for $x,y{\in}P$, $t{\in}[0,1]$. We also prove some basic properties of such functions, e.g. the existence of subdifferentials, Hermite-Hadamard inequality.

• YAKHAK HOEJI
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• v.41 no.5
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• pp.582-587
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• 1997

The 6.7-dichloroquinoline-5,8-dione (I) was reacted with ethyl acetoacetate in the presence of sodium ethoxide to yield 6-(${\alpha}$-acetyl-${\alpha}$-ethoxycarbonyl methyl)-7-chloro-qui noline-5,8-dione(II). When this compound II was reacted with some arylamine (phenyl, p-toluyl, p-fluorophenyl, p-chlorophenyl. p-bromophenyl, p-iodophenyl, p-trifluoromethylphenyl, p-dimethylaminophenyl,indanyl), 1N-aryl-2-methyl-3-ethoxycarbonyl pyridino[2,3-f]-indole-4.9-dione(IIIa-I) were obtained via intramolecular cyclization.

• Korean Journal of Community Nutrition
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• v.15 no.3
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• pp.329-341
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• 2010

The purpose of this study was to examine vegetable & fruit (V/F) intakes, beliefs and self-efficacy regarding V/F consumption, nutrition knowledge and eating behavior of elementary students. A survey was conducted to the 4th graders (n = 234) at two elementary schools in Guri, Kyunggi-do. About one-fourth of subjects were overweight or obese. Subjects had 4.2 servings of V/F a day, consuming 340.2 g of V/F. Girls consumed significantly more amounts of vegetables than boys (p < 0.05). Girls were more favorable regarding V/F consumption (p < 0.01), and believed more strongly on advantages of having V/F such as “good for skin” constipation prevention (p < 0.001) and cancer prevention (p < 0.05). Boys felt more strongly in disadvantages or barriers of eating V/F, including mother's cooking time constraints (p < 0.01), lack of past experience of eating V/F, and family members' disliking of V/F (p < 0.05). Girls felt more confident in eating V/F (p < 0.05) than boys; they also felt more confident in specific items of "eating fruits/salads instead of cookies/chips for snack" and "eating fruit juice/vegetable juice instead of soda"(p < 0.01). Subjects showed low level of nutrition knowledge, especially in items such as balanced meals, recommended servings of V/F and vitamin deficiency. Compared to boys, girls had more desirable eating behavior such as eating adequate amount of meals (p < 0.001), having a variety of foods, eating fruits daily, and having fatty foods less frequently (p < 0.05). Intakes of Ca and K were quite below the recommended level, while the intakes of protein, Na and vitamin A intake were much above the Dietary Reference Intakes (DRI) for 9-11 old children. Nutrient intakes expressed as %DRI was higher in girls for vitamin A (p < 0.01), energy and riboflavin (p < 0.05). High V/F consumption group (${\geq}5$ servings of V/F a day) compared to the counterparts showed higher self-efficacy and had better eating behaviors. Nutrition education for children should focus on increasing consumption of V/F, by helping them to increase self-efficacy for eating V/F and to recognize the benefits and reduce the barriers of eating V/F, especially in boys. It is also needed to provide nutrition information for balanced meals or increasing V/F consumption, and help the children to adopt desirable eating behavior.

• Journal of Korean Public Health Nursing
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• v.15 no.2
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• pp.262-274
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• 2001

This study was undertaken to grasp the relationship between perceived health status, health conception and health promoting behavior in the elderly. The subjects for this study were 157 old persons in Kyung-ju city. Data were collected by interview with questionnaires from August 24 to October 10, 1999. Analysis of the data was done by SPSS program using descriptive statistics, t-test, ANOVA, Pearson Correlation Coefficient, stepwise multiple regression. The results were summarized as follows 1. For the practice of health promoting behavior. the mean score was 2.52. The factor of the highest mean score was nutrition(3.02) and factor of the lowest mean score was exerciset(2.03). 2. According to age(F=3.35, P=.012), sex(t=2.26, P=.025), marital status (F=5.08, P=.007), education(F=4.22, P=.003), family numbed(F=5.31, P= .006), people living together (F=2.77, P=.044), economic status(F=7.10, P=.00l), average monthly pocket money (F=3.35, P=.012), there were differences of health promoting behavior. 3. According to age(F=3.40, P=.01l), sex(t=4.30, P=.000), education(F=8.55, P=.000), economic status(F=12.59, P=.000), average monthly pocket money(F=4.26, P=.003), present disease(t=-8.41, P=.000), there were differences of perceived health status. According to marital status(F=3.36, P=.037), education(F=2.89, P=.038), there were differences of health conception. 4. Performance in the health promoting behavior was significantly correlated with perceived health status(r=.272, P=.00l), health conception(r=.345, P=.000) 5. The combination of well-being health conception and average monthly pocket money explained $24.7\%$ of the variance of health-promoting behavior. On the basis of the above findings the following recommendations are made; Nursing interventions enhancing exercise or activity, accountability for health, stress management of the elderly must be provided. And Cost-effective health promoting program for the elderly must be developed.

• The Journal of Korean Academic Society of Nursing Education
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• v.15 no.2
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• pp.293-301
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• 2009

Purpose: This study was conducted to investigate the relationship between self-esteem and coping skills among middle school students. Method: The participants were 674 students in three middle schools in GyeongGi-Do. The data were collected from June 10 to 20, 2005. The instruments used were the Rosenberg Self-esteem Scale and the Ways of Coping Checklist. The data were analyzed using the SPSS-Win 12.0 program. Result: Self-esteem showed a significant positive correlation with positive coping skills (r= .162. p= .000). As for the positive coping skills, there was a significant difference by grade (F= 4.69, p= .010), relationship with parent (F=4.036, p= .02), and relationship with siblings (F=3.902, p= .02). As for the negative coping skills, there was a significant difference by grade (F=3.05, p= .04), condition of living with parents (F=3.559, p= .02), economic status (F=3.736, p= .02), relationship with sibling (F=3.408, p= .03), and troubling matters (F=5.422, p= .005). Conclusion: Positive coping skills may be effective for adjustment because they positively related to self-esteem. Self-esteem and coping skills should be considered when an adolescent's mental health enhancement program is designed.

• The Journal of Korean Academic Society of Nursing Education
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• v.14 no.1
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• pp.117-126
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• 2008

Purpose: The aim of this study was to research caregiver trainees, and to understand the degree of subjective quality of life and internal and external locus control, and to examine the relationships between these variables. Method: The subjects of the research were 348 trainees at a Jeonju city caregiver training center. The subjective quality of life and the characteristics of locus control were used as measuring tools. The collected data was analyzed by the SAS 9.1 program. Result: The degree of subjective quality of life was significantly different according to the general characteristics of age (F=2.83, p=0.02), marital status (F=3.34, p=0.01), and willingness to work (F=3.94, p=0.05). The degree of internal locus control was significantly different according to the general characteristic of marital status (F=3.0 p=0.01). External locus control was significantly different according to the general characteristics of age (F=9.77, p=0.00), occupation (F=2.91, p=0.01), educational level (F=9.65, p=0.00), monthly income (F=3.81, p=0.00), educational institution (F=2.06, p=0.04), educational experience (F=4.15, p=0.00), and subjects willingness to work (t=8.71, p=0.00). A significant correlation was identified between the subjective quality of life and internal locus control (r=0.23, p=0.0001). Conclusion: A significant correlation was shown between subjective quality of life and internal locus control of the caregiver trainees.

• Journal of Convergence for Information Technology
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• v.11 no.9
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• pp.58-64
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• 2021

This study identifies the relationship between academic stress, sleep quality and depression of nursing college students. The data was collected from 155 nursing students by the online survey. Data were analyzed using SPSS 18.0. As a result of analyzing the differences in academic stress, sleep quality, and depression according to general characteristics. It was confirmed that academic stress had a significant difference from physical health (F=6.326, p<.001) and mental health (F=11.630, p<.001). Sleep quality was different from physical health (F=8.834, p<.001), and depression was found to be different from physical health (F=9.619, p<.001) and mental health (F=28.625, p<.001). The results of analyzing the correlation between academic stress, sleep quality, and depression were found to have a positive correlation between academic stress and depression (r=.242, p<.01). Therefore, identifying the relationship between academic stress, sleep quality and depression among nursing college students is necessary to devise a plan to maintain and improve their physical and mental health

• Nuclear Medicine and Molecular Imaging
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• v.43 no.5
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• pp.411-420
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• 2009

Purpose: The aim of this study was to investigate the usefulness of $^{18}F$-FDG PET/CT with neck ultrasonography (neck US) in patients with recurrent, papillary thyroid cancer. Material and methods: This retrospective study (December 2006 to April 2008) enrolled sixty-one patients (ninety-one lesions) who underwent high-dose $^{131}I$-ablation therapy after total thyroidectomy, and evaluated recurred papillary thyroid cancer. All lesions were confirmed by histopathology and compared histopathologic findings to PET, PET/CT, and neck US findings. Results: In sixty-one patients (57 women, 4 men; age range, 24-81 years, mean 49 years; 61 papillary carcinomas), the sensitivity, specificity, accuracy of $^{18}F$-FDG PET/CT was 87.2%, 64.0%, 78.1% on a patient basis and 92.3%, 66.7%, 80.9% on a lesion basis, respectively. The sensitivity, specificity, accuracy of $^{18}F$-FDG PET was 71.8% (p=0.03), 59.0% (p=1.00), 67.2% (p=0.03) on a patient basis and 78.8% (p<0.01), 64.1% (p=1.00), 72.5% (p=0.02) on a lesion basis, respectively. The sensitivity, specificity, accuracy of neck US was 71.1% (p=0.07), 52.2% (p=0.75), 63.9% (p=0.05) on a patient basis and 71.2% (p<0.01), 61.5% (p=1.00), 67.0% (p=0.06) on a lesion basis, respectively. Combined $^{18}F$-FDG PET/CT with neck US improved the sensitivity, specificity, accuracy to 94.7% (p=0.50), 82.6% (p=0.13), 90.2% (p=0.03) on a patient basis and 96.2% (p=0.50), 89.7% (p<0.01), 93.4% (p<0.01) on a lesion basis, respectively. Conclusion: $^{18}F$-FDG PET/CT demonstrated significantly higher sensitivity than neck US for the detection of recurred papillary thyroid cancer lesions. Furthermore, combined $^{18}F$-FDG PET/CT with neck US showed more improved sensitivity, specificity, accuracy for diagnosis of recurrent papillary thyroid cancer.