• Bulletin of the Korean Mathematical Society
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• v.59 no.3
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• pp.709-723
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• 2022

In this note, we revise some vanishing and finiteness results on hypersurfaces with finite index in ℝⁿ⁺¹. When the hypersurface is stable minimal, we show that there is no nontrivial L^2p harmonic 1-form for some p. The our range of p is better than those in [7]. With the same range of p, we also give finiteness results on minimal hypersurfaces with finite index.

• Korean Journal of Mathematics
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• v.28 no.3
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• pp.405-419
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• 2020

The zeroth-order general Randić index ⁰R_α(G) of the graph G is defined as ∑_u∈V(G)d(u)^α, where d(u) is the degree of vertex u and α is an arbitrary real number. In this paper, the maximum value of zeroth-order general Randić index on the graphs of order n with a given clique number is presented for any α ≠ 0, 1 and α ∉ (2, 2n-1], where n = |V (G)|. The minimum value of zeroth-order general Randić index on the graphs with a given clique number is also obtained for any α ≠ 0, 1. Furthermore, the corresponding extremal graphs are characterized.

• Honam Mathematical Journal
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• v.42 no.4
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• pp.645-651
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• 2020

The distinguishing number (index) D(G) (D'(G)) of a graph G is the least integer d such that G has an vertex labeling (edge labeling) with d labels that is preserved only by a trivial automorphism. The strong product G ☒ H of two graphs G and H is the graph with vertex set V (G) × V (H) and edge set {{(x1, x2),(y1, y2)}|xiyi ∈ E(Gi) or xi = yi for each 1 ≤ i ≤ 2.}. In this paper we study the distinguishing number and the distinguishing index of strong product of two graphs. We prove that for every k ≥ 2, the k-th strong power of a connected S-thin graph G has distinguishing index equal two.

• Journal of Distribution Science
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• v.12 no.6
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• pp.21-29
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• 2014

Purpose - This research undertakes to understand the competitiveness of the steel distribution industry of both Korea and China to strengthen Korea-Sino economic cooperation, examines impediments to trade between the two countries to analyze causes which affect trade, and examines improvements in these areas to identify means of trade expansion. Through this survey of a defined period, we can identify the structural factors of trade dependence in the relationship between Korea and China. Research design, data, and methodology - The data were collected from the Korea Traders Association, the Korea Customs Office, and UN Comtrade, from which whole table indexes are calculated. The research methodology uses trade-related indexes to focus on analyzing comparative advantages based on time-series analysis statistics data (2000-2012) by using the analysis index of trade intensity index (TII), the revealed comparative advantage index (RCA), and the trade specialization index (TSI). Results - The export ratio for Korea to China was slightly higher in 2000 at 2.867, and the export ratio for Korea to China was sustained in 2005. However, it diminished gradually, reaching 1.263 in 2012. During the period 2000-2012, the indexes were maintained without any significant change. However, they still remain close to -1. In particular, in 2012 it is the closest it has ever been to -1. Therefore, China has a comparative advantage in export specialization. On the other hand, Korea has a comparative advantage in import specialization. For the research period, all indexes were much lower than 1, which means that Korea has consistently had a comparative disadvantage against China for the past 10 years when compared to other industries, even though it experienced improvement in 2000. Conclusions - The summary of conclusions based on empirical analysis research are as follows: First, per the trade intensity index of industries between the two countries, we conclude that the export ratio index in 2000 is 2.867, which means the export ratio of Korea to China is slightly higher. Furthermore, the ratios of 2.259 and 1.263 held in 2005 and 2012, respectively, meaning that the export ratio of Korea to China was maintained in 2005, but was diminishing gradually as the index in 2012 was 1.263. Second, per the trade specialization index of the steel distribution industry between Korea and China, the value was -0.379 in 2000, -0.368 in 2005 and -0.568 in 2012. Looking at the whole period of 2000-2012, the indexes remained without any significant change. However, they are still moving closer to -1. In particular, in 2012 it is the closest it has ever been to -1. Third, regarding the revealed comparative advantage index of the steel distribution industry between Korea and China, the RCA indexes in 2005 and 2012 are 0.246 and 0.306, respectively, which are still far from 1, even though the index has improved compared to the 2000's value of 0.0001. Therefore, the Korean steel distribution industry is at a significant comparative disadvantage to that of the Chinese steel distribution industry.

• Journal of the Korean Home Economics Association
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• v.31 no.1
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• pp.153-162
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• 1993

The purpose of this study is to demonstrate the physical consciousness of two groups, the high school girl(335) and the female college students(246), about their actual somatotype and cognitive comatotype, and to investigate it in comparison with the R hrer Index, the BMI Index, and the Broca-Katsura Index to find if there is any difference between the two groups. The results are as follows; A. In the light of cognitive somatotype by self-evaluation:(1) both high school girls and female college students recognized their weight and somatotype as normal and balanced with no significant difference between them. (2) bout groups indicated that their answers were the results of their own self-evaluation, and it was shown that there was a significant difference between the two groups. B. According to the actual somatotype based on Index. (1) it was shown there was a significant difference between the cognitive somatotype and the actual one of the tow respective groups when based on the Broca Katsura Index. (3) there was a significant difference between the cognitive somatotype and the actual one of the two respective groups when based on the Rohrer Index. Finally, it was shown that there was a significant difference between the two groups.

• Journal of Korean Society of Forest Science
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• v.94 no.2 s.159
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• pp.82-89
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• 2005

The purpose of this paper is to investigate index numbers by conducting various comparisons among the widely used index formulas. The comparison is considered in three ways; 1) divergences in the magnitudes of index numbers due to the use of different formulas (Laspeyres, Paasche, Fisher, and Tornqvist); 2) the effect of selection of base year (fixed-year base vs. chain-type); 3) the degree of approximation of indirect to direct quantity index. The empirical application is to sawmills and planing mills industry of U.S. using a national time series data covering years of 1948-2000. The results show that the differences between Laspeyres and Paasche index can be substantial in some cases while the difference between Fisher and Tornqvist index is minimal. We also confirm that the selection of base year can cause significant divergences, especially when the variables undergo rapid price or quantity changes over time. We find that indirect quantity index approximates direct quantity index reasonably well in U.S. sawmill industry.

• The Journal of Korean Academy of Orthopedic Manual Physical Therapy
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• v.10 no.1
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• pp.103-116
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• 2004

The purpose of this study was to investigate between low back pain scale and disability index owing to gait pattern. For the period of February 1 to February 29, 2004, we had conducted a questionnaire and direct interview with 100 persons lived in Daejeon. The result were as follows: 1. The stride length of experimental group. the male was $49.9{\pm}12.9cm$. the female $45.7{\pm}12.9cm$ and the width of feet, the male was $13.5{\pm}5.7cm$, the female $12.2{\pm}4.8cm$. 2. The Fick angle of all subjects was showed in external disposition, the left angle showed in asymmetry, the male was $11.0{\pm}5.7^{\circ}$, the female $8.5{\pm}1.3^{\circ}$. 3. The foot arch was similar to sex as a weight bearing and non-weight bearing, the male was $1.3{\pm}0.8cm$, the female $1.3{\pm}0.9cm$. 4. The impedimental index according to back pain grade, men was a lower than women, the male was $5.7{\pm}6.9$ and the female $7.2{\pm}5.3$. 5. The relation to difference between foot arch and disability index according to back pain grade as a weight bearing and non-weight bearing, the higher foot arch, the higher back pain grade was statistically significance(p<.05). 6. The relation between width of feet and disability index according to back pain grade, the wider width of feet, the higher back pain grade was statistically significance(p<.01). 7. The relation between stride length and disability index according to back pain grade, the wider stride length, the higher back pain grade was statistically significance(p<.05).

• The Journal of Information Systems
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• v.10 no.1
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• pp.257-278
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• 2001

An IR(information retrieval) index for dynamic document databases where insertion, deletion, and update of documents happen frequently should be frequently updated. As the conventional structure of IR index is, however, focused on the information retrieval purpose, its structure is inefficient to handle dynamic update of it. In this paper, we propose a new structure for IR Index, we call it Index Graph, which is organized by connecting multiple indexes into a graph structure. By analysis and experiment, we prove the Index Graph is superior to the conventional structure of IR index in the performance of insertion, deletion, and update of documents as well as the performance of information retrieval.

• Journal of Korean Society for Quality Management
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• v.49 no.1
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• pp.17-29
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• 2021

Purpose: During 2015-2019, the average amount of political donation to the national assembly members in Korea was 1,000 won per person. Despite its benefits such as receiving tax credits, the donation system has not been actively practiced. This paper aims to promote political donations by suggesting a recommendation system of national assembly members by analysing the bills they proposed. Methods: In this paper, we propose a recommendation system based on two aspects: how similar the newly proposed or ammended bills are to the sponsors' interest (similarity index) and how much effort national assembly members put into those bills (intensity index). More than 25,000 bills were used to measure the recommendation quality index consisted with both the similarity and the intensity indices. Word2vec was used to calculate the similarity index of the bills proposed by the national assembly member to the sponsor's interest. The intensity index is calculated by diving the number of newly proposed or entirely revised bills with the number of senators who took part in those bills. Subsequently, we multiply the similarity index by the intensity index to obtain the recommendation quality index that can assist sponsors to identify potential assembly members for their donation. Results: We apply the proposed recommendation system to personas for illustration. The recommendation system showed an average f1 score about 0.69. The analysis results provide insights in recommendation for donation. Conclusion: n this study, the recommendation system was proposed to promote a political donation for national assembly members by creating the recommendation quality index based on the similarity and the intensity indices. We expect that the system presented in this paper will lower user barriers to political information, thereby boosting political sponsorship and increasing political participation.

• The Journal of the Korea Contents Association
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• v.16 no.2
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• pp.609-617
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• 2016

The purpose of this study is to investigate the wear index of toothbrush and related factors in the university students. A self-reported questionnaire was completed by 573 university students from March 16 to April 10, 2015. The questionnaire consisted of general characteristics of the subjects, wear index, and wear rate of the toothbrush. The wear index of 46.9 percent was above 0.400, and the average wear index was $0.403{\pm}0.20$. Overall, the wear index of the toothbrushes was high. 2. As a result of measuring the wear rate of the toothbrushes, the wear rate of 70.4 percent stood at 1 and 2. The average wear rate stood at $1.620{\pm}0.74$. Overall, the wear rate of the toothbrushes was high. 3. As for wear index and wear rate by gender, the wear index and wear rate of the toothbrushes used by the male students were larger than those of the toothbrushes used by the female students. The wear index and wear rate were significantly higher when the toothbrush replacement period was longer. Given the findings of the study, efficient oral health education on the right toothbrush management should be provided for college students to manage their toothbrushes properly.