• Communications of the Korean Mathematical Society
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• v.37 no.1
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• pp.125-136
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• 2022

For k = 1, 2, let $f_k=h_k+{\bar{g_k}}$ be normalized harmonic right half-plane or vertical strip mappings. We consider the convex combination ${\hat{f}}={\eta}f_1+(1-{\eta})f_2={\eta}h_1+(1-{\eta})h_2+{\overline{\bar{\eta}g_1+(1-\bar{\eta})g_2}}$ and the combination ${\tilde{f}}={\eta}h_1+(1-{\eta})h_2+{\overline{{\eta}g_1+(1-{\eta})g_2}}$. For real 𝜂, the two mappings ${\hat{f}}$ and ${\tilde{f}}$ are the same. We investigate the univalence and directional convexity of ${\hat{f}}$ and ${\tilde{f}}$ for 𝜂 ∈ ℂ. Some sufficient conditions are found for convexity of the combination ${\tilde{f}}$.

• Journal of the Korean Mathematical Society
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• v.32 no.3
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• pp.615-623
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• 1995

Consider a function m defined in $R^n$ and the associated convolution operator T given by the Fourier transform $\hat{T} = m\hat{f}$.

• The Research Journal of the Costume Culture
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• v.7 no.3
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• pp.1-16
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• 1999

This study in concerned with the costume accessories appeared in Sam Kuk Sa ki. The accessories of both sexes were analized. Results of this research can be summarized as follows : It was appeared that names of accessories of men were fewer in number than those of women. Men\`s accessories such as a hat, bok-du, a belt,boots, shoes, and sock were mentioned in Sam Kuk Sa Ki. Women\`s accessories appeared such as a hat, a comb, a hair pin, a belt, shoes, and sock. A bok-du, boots, and a hared belt were used exclusively by men, while a hat, kwan(冠), a comb, a hair pin, a scarf, pyo( ) were worn exclusively by women. All men from different classes including true bone class as well as the common class wore bok-du, a hat, a hard belt, boots, sock ; however, class distinctions were made from materials used for those items. Also women\`s accessories were used as means of differentiating social status of the wearer by means of materials employed for each item. Especially, woman\`s hat and scarf were a symbol of the noble class. Only two classes of women from the true-bone class and women from the sixth du-pum class entited to wear hats. Wearing a scarf was not allowed to women from the common class. Class dirrernetiations were made by the materials used for hats and scarves. Materials for a scarf such as gold and silver leaf, pecock tail, and king fisher fly feather were restricted to women from true-bone class. Such as man\`s hat bok-du( 頭), use of women\`s comb and hair pin, scarf, leggings were items drived from Tang China. It clearly showed that costume accessories of Silla were heavily influenced by the Chinese. At the same time the costume accessories were sued to make sex difference among the people of Silla. Woman wore a soft belt made of cloth while man wore a hard belt. Woman\`s hat, a scarf, a comb, a hair pin, a belt or sash for a shirt, and leggings were woman\`s sex symbol. Thus, costume accessories of Silla appeared in Sam Kum Sa Ki functioned as means of differentiating social status of the wearer such as sex,class and rank in the society. Also, they showed that Silla kingdom had close cultural relationship with Tang China.

• Journal of the Korea Fashion and Costume Design Association
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• v.18 no.4
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• pp.141-158
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• 2016

The objective of this study is to examine the type and characteristics of hat, and also to analyze the formative characteristics of hats shown in $Pr{\hat{e}}t-{\grave{a}}$-porter Collection. The literature review focused on the relevant technical books and preceding researches while the case study targeted 1,561 photos of hats shown in the 'Donga TV Collection'. The research range was from the S/S season of 2012 to the F/W season of 2015/16. The results of this study are as follows. 1. A hat is composed of crown and brim. In the results of classifying hats based on it, there were 572 crown-type hats, 533 hat-type, 219 cap-type, 156 irregular-type, and 81 brim-type in the order. 2. For the crown-type hats, they were mainly like cylindrical-type, bell-type, dome-type, and circle-type, using colors like black, beige, brown, red, mustard, and grey, and materials like wool, fur, velvet, straw, and metal while they were decorated with bead or lace. 3. For the hat-type hats, they were mainly like bell-type, ladder-type, and hemisphere-type, using colors like peach, white, gold, brown, and khaki, and materials like silk, cotton, straw, and wool while they were decorated with feather and ribbon. 4. For the cap-type hats, they were mainly like hemisphere-type, using colors like white, black, khaki, mustard, and purple, and materials like fur, leather, and wool while they were decorated with wappen and chain. 5. For the irregular-type hats, they were mainly like sandglass-type, box-type, animal-type, trumpet-type, and bell-type, using colors like purple, orange, pink, yellow, and sky-blue, and materials like metal, feather, mesh, plastic, straw, and linen while they were decorated with ribbon, net, bell, and flower. 6. For the brim-type visor, they were mainly like square-type, using colors like transparent, yellow, and black, and materials like plastic, cotton, leather, and metal.

• Bulletin of the Korean Mathematical Society
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• v.54 no.1
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• pp.319-329
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• 2017

Let I denote an ideal of a Noetherian local ring (R, m). Let M denote a finitely generated R-module. We study the endomorphism ring of the local cohomology module $H^c_I(M)$, c = grade(I, M). In particular there is a natural homomorphism $$Hom_{\hat{R}^I}({\hat{M}}^I,\;{\hat{M}}^I){\rightarrow}Hom_R(H^c_I(M),\;H^c_I(M))$$, $where{\hat{\cdot}}^I$ denotes the I-adic completion functor. We provide sufficient conditions such that it becomes an isomorphism. Moreover, we study a homomorphism of two such endomorphism rings of local cohomology modules for two ideals $J{\subset}I$ with the property grade(I, M) = grade(J, M). Our results extends constructions known in the case of M = R (see e.g. [8], [17], [18]).

• Journal of the Korean Home Economics Association
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• v.42 no.1
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• pp.99-113
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• 2004

To protect farmers from solar radiation and UV, the movable sunshade tent was designed and its protection efficiency was measured in the artificial chamber and outdoors. Sunshade tent and the existing farmer's hat were examined. The results were as followes； Heart rate, total body weight loss and temperature of clothing microclimate on the chest and the back were lower in using sunshade tent than those in wearing existing hat in two experiments. In subjective sensation, subjects answered to feel significantly hotter and more uncomfortable in wearing existing hat in two experiments. Rectal temperature was significantly lower using the sunshade hat in experiment at outdoors(p<0.001).

• Journal of Korean Society for Quality Management
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• v.27 no.1
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• pp.46-58
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• 1999

The exact distributions of the sample variance $(S^2_n)$ and the estimator ($\hat{C}_p$) of the process capability index are not easily obtained in general. In this paper, the approximations using saddlepoint techniques to the distributions of these statistics are suggested and compared with the other approximation methods. For comparisons, the exact values obtained by extensive Monte-Carlo (simulation) studies are also given. As a result, the suggested approximation methods are very accurate even in moderate or small sample sizes and are easy to use. Also, the suggested methods can be adapted to approximate the distributions of more complicated statistics, including $\hat{C}_pk$ ,$\hat{C}_pm$, etc.

• Journal of the Korean Mathematical Society
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• v.53 no.6
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• pp.1431-1443
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• 2016

Let k be a global field of characteristic unequal to two. Let $C:y^2=f(x)$ be a nonsingular projective curve over k, where f(x) is a quartic polynomial over k with nonzero discriminant, and K = k(C) be the function field of C. For each prime spot p on k, let ${\hat{k}}_p$ denote the corresponding completion of k and ${\hat{k}}_p(C)$ the function field of $C{\times}_k{\hat{k}}_p$. Consider the map $$h:Br(K){\rightarrow}{\prod\limits_{\mathfrak{p}}}Br({\hat{k}}_p(C))$$, where p ranges over all the prime spots of k. In this paper, we explicitly describe all the constant classes (coming from Br(k)) lying in the kernel of the map h, which is an obstruction to the Hasse principle for the Brauer groups of the curve. The kernel of h can be expressed in terms of quaternion algebras with their prime spots. We also provide specific examples over ${\mathbb{Q}}$, the rationals, for this kernel.

• Journal of applied mathematics & informatics
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• v.39 no.5_6
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• pp.895-918
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• 2021

Human African Trypanosomiasis (HAT) also known as sleeping sickness, is a neglected tropical vector borne disease caused by trypanosome protozoa transmitted by bites of infected tsetse fly. The basic reproduction number, R₀ derived using the next generation matrix method which shows that the disease persists in the population if the value of R₀ > 1. The numerical simulations of optimal control model carried out to determine the control strategy that can combat HAT under the minimum cost. The results indicate that, the use of both education campaign, treatment and insecticides are more efficient and effective to eliminate HAT in African community but too costly. Furthermore, the cost-effectiveness of the control measures (education campaign, treatment and insecticides) were determined using incremental cost-effectiveness ratio (ICER) approach and the results show that, the use of education and treatment of infected people as the best cost effective strategy compared to other strategies.

• Nutrition Research and Practice
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• v.13 no.3
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• pp.196-204
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• 2019

BACKGROUND/OBJECTIVES: Non-alcoholic fatty liver disease (NAFLD) is a common metabolic disease triggered by epigenetic alterations, including lysine acetylation at histone or non-histone proteins, affecting the stability or transcription of lipogenic genes. Although various natural dietary compounds have anti-lipogenic effects, their effects on the acetylation status and lipid metabolism in the liver have not been thoroughly investigated. MATERIALS/METHODS: Following oleic-palmitic acid (OPA)-induced lipid accumulation in HepG2 cells, the acetylation status of histone and non-histone proteins, HAT activity, and mRNA expression of representative lipogenic genes, including $PPAR{\gamma}$, SREBP-1c, ACLY, and FASN, were evaluated. Furthermore, correlations between lipid accumulation and HAT activity for 22 representative natural food extracts (NExs) were evaluated. RESULTS: Non-histone protein acetylation increased following OPA treatment and the acetylation of histones H3K9, H4K8, and H4K16 was accelerated, accompanied by an increase in HAT activity. OPA-induced increases in the mRNA expression of lipogenic genes were down-regulated by C-646, a p300/CBP-specific inhibitor. Finally, we detected a positive correlation between HAT activity and lipid accumulation (Pearson's correlation coefficient = 0.604) using 22 NExs. CONCLUSIONS: Our results suggest that NExs have novel applications as nutraceutical agents with HAT inhibitor activity for the prevention and treatment of NAFLD.