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ON NILPOTENCE INDICES OF SIGN PATTERNS

  • Erickson, Craig;Kim, In-Jae
    • Communications of the Korean Mathematical Society
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    • v.25 no.1
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    • pp.11-18
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    • 2010
  • The work in this paper was motivated by [3], where Eschenbach and Li listed four 4 by 4 sign patterns, conjectured to be nilpotent sign patterns of nilpotence index at least 3. These sign patterns with no zero entries, called full sign patterns, are shown to be potentially nilpotent of nilpotence index 3. We also generalize these sign patterns of order 4 so that we provide classes of n by n sign patterns of nilpotence indices at least 3, if they are potentially nilpotent. Furthermore it is shown that if a full sign pattern A of order n has nilpotence index k with $2{\leq}k{\leq}n-1$, then sign pattern A has nilpotent realizations of nilpotence indices k, k + 1, $\ldots$, n. Hence, the four 4 by 4 sign patterns in [3, page 91] also allow nilpotent realizations of nilpotence index 4.

A Study on the Effect of Macroeconomic Variables on Apartment Rental Housing Prices by Region and the Establishment of Prediction Model (거시경제변수가 지역 별 아파트 전세가격에 미치는 영향 및 예측모델 구축에 관한 연구)

  • Kim, Eun-Mi
    • Journal of Cadastre & Land InformatiX
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    • v.52 no.2
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    • pp.211-231
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    • 2022
  • This study attempted to identify the effects of macroeconomic variables such as the All Industry Production Index, Consumer Price Index, CD Interest Rate, and KOSPI on apartment lease prices divided into nationwide, Seoul, metropolitan, and region, and to present a methodological prediction model of apartment lease prices by region using Long Short Term Memory (LSTM). According to VAR analysis results, the nationwide apartment lease price index and consumer price index in Lag1 and 2 had a significant effect on the nationwide apartment lease price, and likewise, the Seoul apartment lease price index, the consumer price index, and the CD interest rate in Lag1 and 2 affect the apartment lease price in Seoul. In addition, it was confirmed that the wide-area apartment jeonse price index and the consumer price index had a significant effect on Lag1, and the local apartment jeonse price index and the consumer price index had a significant effect on Lag1. As a result of the establishment of the LSTM prediction model, the predictive power was the highest with RMSE 0.008, MAE 0.006, and R-Suared values of 0.999 for the local apartment lease price prediction model. In the future, it is expected that more meaningful results can be obtained by applying an advanced model based on deep learning, including major policy variables

n-Gram/2L: A Space and Time Efficient Two-Level n-Gram Inverted Index Structure (n-gram/2L: 공간 및 시간 효율적인 2단계 n-gram 역색인 구조)

  • Kim Min-Soo;Whang Kyu-Young;Lee Jae-Gil;Lee Min-Jae
    • Journal of KIISE:Databases
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    • v.33 no.1
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    • pp.12-31
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    • 2006
  • The n-gram inverted index has two major advantages: language-neutral and error-tolerant. Due to these advantages, it has been widely used in information retrieval or in similar sequence matching for DNA and Protein databases. Nevertheless, the n-gram inverted index also has drawbacks: the size tends to be very large, and the performance of queries tends to be bad. In this paper, we propose the two-level n-gram inverted index (simply, the n-gram/2L index) that significantly reduces the size and improves the query performance while preserving the advantages of the n-gram inverted index. The proposed index eliminates the redundancy of the position information that exists in the n-gram inverted index. The proposed index is constructed in two steps: 1) extracting subsequences of length m from documents and 2) extracting n-grams from those subsequences. We formally prove that this two-step construction is identical to the relational normalization process that removes the redundancy caused by a non-trivial multivalued dependency. The n-gram/2L index has excellent properties: 1) it significantly reduces the size and improves the Performance compared with the n-gram inverted index with these improvements becoming more marked as the database size gets larger; 2) the query processing time increases only very slightly as the query length gets longer. Experimental results using databases of 1 GBytes show that the size of the n-gram/2L index is reduced by up to 1.9${\~}$2.7 times and, at the same time, the query performance is improved by up to 13.1 times compared with those of the n-gram inverted index.

A Study on the Measurement and Evaluation of LSC Roundness by Index Head (INDEX HEAD를 이용한 절대 진원도의 측정 평가에 관한 연구)

  • Lee, Dong-Ju
    • Journal of the Korean Society for Precision Engineering
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    • v.8 no.3
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    • pp.18-26
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    • 1991
  • A study on the measuring and evaluation of LSC(Least Square Center) roundness was carried out. The experimental set-up was made by index head and indicator, and the measuring data were compensated by a developed computer program. The results obtained are as follows : 1) An index head can conveniently be used to measure LSC roundness. 2) A program for calculating LSC roundness is developed. 3) Without a high quality roundnes measuring apparatus, LSC roundness can be measured and calculated by using index head and the developed program in machine shop as well as in a measuring room

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A STATISTICAL STUDY ON THE SIMPLIFIED ORAL HYGIENE INDEXIN THE HANDICAPPED CHILDREN (지체부자유 아동의 구강위생상태에 관한 통계학적 연구)

  • Wook, Huh-Man
    • Journal of the korean academy of Pediatric Dentistry
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    • v.5 no.1
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    • pp.47-63
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    • 1978
  • The author studied on the Simplified Oral Hygiene Index in the handicapped children, who are housed by several rehabilitation institution age from 3 to 17 year in Seoul area and 439 normal children as a control group. The obtained results are as follows: 1) In the Oral Hygiene Index(OHI), The handicapped children showed remarkable increment compared to normal children(The Index score was 2.00 in cerebral palsy children, 1.94 in poliomyelitis, 1.79 in other's diseased children, in 1.01 in normal children) and the score was increased as age increment. 2) In the OHI of the handicapped children, male was higher than female. 3) Dental calculus deposition in the handicapped children was severe in the lower anterior teeth and least in the upper anterior teeth. 4) Dental calculus Index of the handicapped children was comparatively higher in the region which had higher food debris index. 5) As the conculusion of this study, we found that continuous and active dental enlightenment and treatment for oral health in the handicapped children are necessary.

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Two-Dimensional Grouping Index for Efficient Processing of XML Filtering Queries (XML 필터링 질의의 효율적 처리를 위한 이차원 그룹핑 색인기법)

  • Yeo, Dae-Hwi;Lee, Jong-Hak
    • Journal of Information Technology and Architecture
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    • v.10 no.1
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    • pp.123-135
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    • 2013
  • This paper presents a two-dimensional grouping index(2DG-index) for efficient processing of XML filtering queries. Recently, many index techniques have been suggested for the efficient processing of structural relationships among the elements in the XML database such as an ancestor- descendant and a parent-child relationship. However, these index techniques focus on simple path queries, and don't consider the path queries that include a condition value for filtering. The 2DG-index is an index structure that deals with the problem of clustering index entries in the twodimensional domain space that consists of a XML path identifier domain and a filtering data value domain. For performance evaluation, we have compared our proposed 2DG-index with the conventional one dimensional index structure such as the data grouping index (DG-index) and the path grouping index (PG-index). As the result of the performance evaluations, we have verified that our proposed 2DG-index can efficiently support the query processing in XML databases according to the query types.

Trade Structure Analysis for Automobile Distribution Industry's between China and Japan (중국과 일본의 자동차유통산업의 무역구조분석)

  • Lee, Jae-Sung
    • Journal of Distribution Science
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    • v.12 no.2
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    • pp.105-112
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    • 2014
  • Purpose - This research undertakes to understand the trade structures of both China and Japan to strengthen Sino-Japan economic cooperation and examines impediments to trade between the 2 countries to analyze causes which affect trade and to examine improvements in these areas to find out ways of trade expansion. Through this survey of a defined period of time, we can identify the structural factors of trade dependence in the relationship between China and Japan. Research design, data, methodology - The data were collected from Korea Traders Association, Korea Customs Office and UN Comtrade, from which whole table indexes are calculated by author. This 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), Revealed Comparative Advantage Index (RCA) and Trade Specialization Index (TSI). Results - The export ratio for China against Japan was a little higher in 2000 at 2.867 and the export ratio for China against Japan was sustained in 2005. However, it diminished gradually and reached 1.263 in 2012. During the whole period of 2000~2012, the indexes were maintained without any significant change. However, they are still moving closer to -1. Especially, in 2012 it is the closest it has been to -1. Therefore, Japan has a comparative advantage toward export specialization. On the other hand, China has a comparative advantage toward import specialization. For the whole research period, all indexes were much smaller than 1, which means that China has comprehensively had a comparative disadvantage against Japan for the past 10 years when compared to other industries, even though it had improved 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 2 countries, we can conclude that export ratio index is 2.867, based on the formula, in 2000, which means the export ratio of China against Japan is a little bit higher. Furthermore, the ratios of 2.259 and 1.263 are indicated in 2005 and 2012 respectively which mean the export ratio of China against Japan was maintained in 2005 but was diminishing gradually as the index is 1.263 in 2012. Second, per the Trade Specialization Index of the shipping industry between China and Japan, -0.379 is indicated in 2000, -0.368 in 2005 and -0.568 in 2012. Looking at the whole period of 2000~2012, the indexes were maintained without any significant change. However, they are still moving closer to -1. Especially, in 2012 it is the closest it has been to -1. Third, per the Revealed Comparative Advantage Index of the automobile industry between China and Japan, the RCA indexes in 2005 and 2012 are 0.246 and 0.306 respectively which are still far from 1 even though the index is improved compared to 2000's value of 0.0001. Therefore, the Chinese automobile industry is very much at a comparative disadvantage to that of the Japanese automobile industry.

Synthesis of High Refractive Spiroheterocyclic Derivatives Through Thioacetalization of Multi-Carbonyl Compounds

  • Ye, Ji-Myoung;Maheswara, Muchchintala;Do, Jung-Yun
    • Bulletin of the Korean Chemical Society
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    • v.33 no.8
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    • pp.2494-2498
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    • 2012
  • Preparation of several new spirocyclic mercapto derivatives is described. Thiol protection on multi-carbonyl compounds allows of high sulfur content necessary to induce high refractive index. Condensation of 1,3-dimercapto-2-propanol and cyclohexanone followed by successive oxidation and thioacetalization affords a dispirocycle with four sulfurs. Selective S,S-protection of cyclohexane-1,4-dione is achieved with 1,3-dimercapto-2-propanol and 2,3-dimercapto-1-propanol to provide dispirocycles with four sulfurs. Olefine-oxidation of norbornene gives a useful dialdehyde intermediate which is transformed to 1,3-dithiolane for a linearly-bound-cyclic molecule. Refractive index of linearly-bound-cycles was below 1.60 and dispirocycles exhibited high refractive index of 1.57-1.69.

The Drought based on the Assessment of Soil Moisture in Korea (토양수분량의 평가에 의한 한국의 가뭄)

  • 전경은
    • Journal of Environmental Science International
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    • v.4 no.1
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    • pp.1-12
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    • 1995
  • The assessment for a degree of drought has been carried out based on the soil moisture index in Korea. The soil moisture index(Im) was calculated assuming of constant evapotranspiration until wilting point as Im = w2/wf $.$100. The soil moisture content(W2) at the final of a period is obtained from W2 : Pe + Wl - E, here the effective precipitation amount is Pe, evapotranspiration E, and the soil moisture content at the beginning of a period is Wl. The filed capacity(Wf), as a mean value of fine sandy loams, was reduced to 92 mm/ft when we accept the wilting point and the available soil moisture content of 42 mm/ft, respectively. The drought begins in Korea when the soil moisture index drops to less than 50%. The value coincides the isoline of 11 or more consecutive days without measureable precipitation. The soil moisture index frequently drops in the northern part of Youngnam area and Honam area so that both areas are well known as the areas of drought. Key word : Droughts, Soil Moisture Index.

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A Study on the characteristics of the Double Refractive Index Fiber in the 1.55$mu extrm{m}$ (파장 1.55$mu extrm{m}$에서 이중굴절율 분포를 가진 광섬유의 특성에 관한 연구)

  • 최태일;이주형;최병하
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.14 no.5
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    • pp.571-577
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    • 1989
  • In this paper, the double-refractive index profile, which is generalized a trapezoidal index profile, is proposed to study the characteristics of a optical fiber in the wave length 1.55um. Being compared with a triangle profile, it has many advantages over an optimum core radius, the minimum refractive index difference and the change of chromati dispersion characteristics with wavelength. Though the value of a varies from 2 to infinite, the same results are approximately obtained. Therefore, in fabrication of a fiber, the step part of trapezoidal index profile can replace the profile of a-power refractive index. Because the refractive index presented in this paper varies with a, it can be applied to multiple cladding fiber or segmented core fiber. And it is expected that the characteristics of the fiber are obtained.

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