• Bulletin of the Korean Mathematical Society
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• v.61 no.2
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• pp.317-333
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• 2024

For the classes of analytic functions f defined on the unit disk satisfying ${\frac{2zf'(z)}{f(z)-f(-z)}}{\prec}{\varphi}(z)$) and ${\frac{(2zf'(z))'}{(f(z)-f(-z))'}}{\prec}{\varphi}(z)$, denoted by S^*_s(𝜑) and C_s(𝜑), respectively, the sharp bound of the n^th Taylor coefficients are known for n = 2, 3 and 4. In this paper, we obtain the sharp bound of the fifth coefficient. Additionally, the sharp lower and upper estimates of the third order Hermitian Toeplitz determinant for the functions belonging to these classes are determined. The applications of our results lead to the establishment of certain new and previously known results.

• Communications of the Korean Mathematical Society
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• v.34 no.2
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• pp.451-464
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• 2019

In the present paper, we find the sharp bound for the fourth coefficient of starlike functions f which are normalized by f(0) = 0 = f'(0) - 1 and satisfy the following two-sided inequality: $$1+{\frac{{\gamma}-{\pi}}{2\;{\sin}\;{\gamma}}}\;<\;{\Re}\{{\frac{zf^{\prime}(z)}{f(z)}}\}\;<\;1+{\frac{{\gamma}}{2\;{\sin}\;{\gamma}}},\;z{\in}{\mathbb{D}}$$, where ${\mathbb{D}}:=\{z{\in}{\mathbb{C}}:{\left|z\right|}<1\}$ is the unit disk and ${\gamma}$ is a real number such that ${\pi}/2{\leq}{\gamma}<{\pi}$. Moreover, the sharp bound for the fifth coefficient of f defined above with ${\gamma}$ in a subset of [${\pi}/2,{\pi}$) also will be found.

• International Journal of Industrial Entomology and Biomaterials
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• v.5 no.1
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• pp.135-139
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• 2002

By means of correlation analysis and path coefficient analysis, 18 characteristics of 325 conserved silkworm races were studied for the selecting efficiency on main silk quality characteristics. The result showed that selecting lines with heavier cocoon weight are beneficial to raise the weight of have. Choosing strains with higher cocoon shell percentage, longer filament length and better reelability percentage is good for increasing non-broken filament length. Selecting lines with medium daily weight of have produced in the fifth instar, medium cocoon shell percentage and simultaneously selecting heavier cocoon shell weight are favorable to promote reelability percentage. Choosing strains with heavier cocoon weight, higher cocoon shell percentage, heavier daily weight of bave produced in the fifth instar and heavier weight of bave but shorter filament length may hopefully breed out a race with thick filament size. And selecting strains with heavier weight of have and fine filament size are beneficial to increase filament length. Selecting lines with higher cocoon shell percentage and heavier weight of bave are favorable to raise raw silk percentage of cocoon. There are no significant direct or indirect correlation coefficient between viability and major characteristics of silk quality. It is, therefore, feasible to breed a silkworm race with excellent vitality and good silk quality as well.

• Journal of the Korean Home Economics Association
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• v.40 no.9
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• pp.143-159
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• 2002

This study investigates inequality of the private educational expenditure using the Family Expenditure Survey of 1990, 1996, 1998, and 2000. The major results are: first, inequality of the private educational expenditure has been relived between 1990 and 2000; second, despite decrease in household income right after the Korean economic crisis, the private educational expenditure has been increased in the households having middle and high school students; third, the gaps in the private educational expenditure between income groups are mainly due to the differences in the spending levels of the private education rather than differences in the percentages of households who spend any in the private education; fourth, in 2000, the gini coefficient of the private educational expenditure among households having elementary school student is 0.4832, and 0.6468 among households having middle and high school students; fifth, 30% of the households having middle and high school students who show the highest level of the private educational expenditure occupy 80% of the total private educational expenditure made by the whole households.

• Communications for Statistical Applications and Methods
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• v.23 no.3
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• pp.251-258
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• 2016

It is important to verify the identity of plant-based multivitamins prepared with a natural-concept and popular for daily consumption because they are easily purchased in markets with imperfect information. For this study, a generalized partially double-index model (GPDIM) was employed as a main statistical method to identify the contribution of vitamins and phytochemicals to antioxidant potentials using data on antioxidant capacities and chemical fingerprinting. A bootstrapping approach via sufficient dimension reduction is adopted to estimate the two unknown coefficient vectors in the GPDIM. Fifth order polynomial regressions are fitted to measure the contributions of vitamins and phytochemicals after estimating the coefficient vectors with the two double indices.

• Journal of Korean Society of Transportation
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• v.27 no.1
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• pp.43-51
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• 2009

This paper investigates the accuracy of vehicle pre-braking speed estimates based upon tire/roadway coefficient of friction (drag factor) measurements and skid mark measurements Data for pre-braking and pre-skidding speeds were collected to determine if there were any correlations between pre-braking speeds and pre-skidding speeds. Braking tests were performed on two vehicles using various measurement devices including a fifth wheel, a speed gun, and a vericom 2000. The vehicle speeds, braking distances, skid mark distances, and deceleration histories were recorded. From these data. coefficients of friction and vehicle pre-skidding speeds for the tested road surface were calculated. The pre-skidding speeds were then compared to the actual pre-braking speeds of the vehicles in order to establish relationships between pre-skidding and pre-braking speed. A correlation between the Pre-skidding speed and the actual pre-braking speed was established for the study data.

• Journal of Agricultural Extension & Community Development
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• v.30 no.4
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• pp.229-241
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• 2023

This study aims to examine the farm household income and consumption structure change as well as farm income inequality. Data from the Agricultural Household Survey for the years 2016, 2021, and 2022 were hired to analyze farm income inequality by the Gini coefficient decomposition method. Results show that from 2016 to 2021, all income quintiles exhibited an increasing trend, but in 2022, income decreased across all quintiles. As a result of analyzing farm household consumption expenditure, consumption expenditure increased in all income quintiles in 2021 and 2022 compared to 2016, but consumption of optional goods decreased in the fifth quintile. In addition, it was found that farmers in the first quartile had higher consumption expenditures and expenditures on options than those in the second quartile. The analysis of farm income by region show that public subsidies increased significantly for general rural farmers than for farmers in special and metropolitan areas in all income quintiles during the period. In the case of the first quintile, farm household income in rural areas in special and metropolitan cities increased compared to general rural areas. In the fifth quartile, agricultural income and sideline income in general rural areas increased compared to rural areas in special and metropolitan cities, while rural areas in special and metropolitan cities increased non-business income compared to rural areas. Results of farming income inequality by income type show a steady decline in inequality from 2016 to 2022, indicating that the decreasing gini coefficinet of public subsidies is contributing to the decline in farm income inequality. Private subsidies and side income are shown to increase inequality.

• Journal of Families and Better Life
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• v.33 no.5
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• pp.1-24
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• 2015

The purpose of this study was to investigate the effects of Engel coefficient, Angel coefficient and Schwabe index influencing Household head's life satisfaction. For this study, the data from the 8th analysis of the 2013 Korea Welfare Panel Survey conducted by Korea Institute for Health and Social Affairs were used. For the sample, 903 male Household heads with children under the age of 18, were selected. For statistical analysis, SPSS program (Ver. 21.0) was used. And for statistical methods, frequency and percentile, mean and standard deviation, Pearson's correlation, one way analysis of variance, Duncan's multiple range tests, multiple regression analysis were used. The findings are as follows. First, as a results of analyzing the food costs, education costs and housing costs depending on Income Quintile, the food costs and education costs in the 5th Income Quintile compared with other Income Quintile, were highest. Also, the highest housing cost was in the 2nd Income Quintile, while the least housing cost was in the 1st Income Quintile. Second, by analyzing the differences of Engel coefficient, Angel coefficient and Schwabe index according to Income Quintile, the results show that Engel coefficient and Schwabe index decreases as Income Quintile increases, and Angel coefficient increases as Income Quintile becomes higher. Third, the level of HH's life satisfaction according to Income Quintile, 1st Income Quintile, 2nd Income Quintile, 4th Income Quintile, 3rd Income Quintile, 5th Income Quintile in order, increased. Fourth, as the result of analyzing the influence of Variables related to household and demographics about Engel coefficient, Angel coefficient and Schwabe index, it was shown that the variables effecting Engel coefficient, Angel coefficient, and Schwabe index are age, occupations, Number of workers, House ownership, Income Quintile. Fifth, As a result of analyzing the Variables effecting life satisfaction, especially while Schwabe index is not that significant, Engel coefficient and Angel coefficient are shown to have a significant influence. Therefore, the influence of Food costs and education costs can be confirmed.

• Korean Journal of Child Studies
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• v.4
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• pp.11-21
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• 1983

The purpose of this study was to investigate the relationship between internal locus of control in children and parents' child rearing attitudes which children perceive. For this purpose, 198 fifth grade boys and 163 fifth grade girls were randomly selected and their perception of their parents' child rearing attitudes and their locus of control were measured. Children's locus of control was measured by A Locus of Control Scale For Children of Nowicki & Strickland (1973) which was translated into Korean and item analysis of which was done. Ami Children's perception of their Darents' child rearing attitudes measured by Parent-Child Relationship Inventory which was constructed in Korean Testing Center. For the data analysis, t-test and two-way analysis of variance were applied and Pearson correlation coefficient was computed. The results of the present study were as follows; 1. The correlations between children's perception of their parents' child rearing attitudes and locus of control in children were significant partly. Especially, internal children reported their parents as showing less rejective attitude and less different child rearing attitude between father and mother. 2, Sons were more influenced by their parents' child Learing attitudes than daughters in the development of locus of control 3. Maternal child rearing attitude was more influential than paternal child rearing attitude in the development of locus of control.

• Asian-Australasian Journal of Animal Sciences
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• v.31 no.10
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• pp.1542-1549
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• 2018

Objective: Because lactation periods in dairy cows lengthen with increasing total milk production, it is important to predict individual productivities after 305 days in milk (DIM) to determine the optimal lactation period. We therefore examined whether the random regression (RR) coefficient from 306 to 450 DIM (M2) can be predicted from those during the first 305 DIM (M1) by using a RR model. Methods: We analyzed test-day milk records from 85,690 Holstein cows in their first lactations and 131,727 cows in their later (second to fifth) lactations. Data in M1 and M2 were analyzed separately by using different single-trait RR animal models. We then performed a multiple regression analysis of the RR coefficients of M2 on those of M1 during the first and later lactations. Results: The first-order Legendre polynomials were practical covariates of RR for the milk yields of M2. All RR coefficients for the additive genetic (AG) effect and the intercept for the permanent environmental (PE) effect of M2 had moderate to strong correlations with the intercept for the AG effect of M1. The coefficients of determination for multiple regression of the combined intercepts for the AG and PE effects of M2 on the coefficients for the AG effect of M1 were moderate to high. The daily milk yields of M2 predicted by using the RR coefficients for the AG effect of M1 were highly correlated with those obtained by using the coefficients of M2. Conclusion: Milk production after 305 DIM can be predicted by using the RR coefficient estimates of the AG effect during the first 305 DIM.