• Title/Summary/Keyword: TableRank

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CLASSIFICATION OF CLIFFORD ALGEBRAS OF FREE QUADRATIC SPACES OVER FULL RINGS

  • Kim, Jae-Gyeom
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.1
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    • pp.11-15
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    • 1985
  • Manddelberg [9] has shown that a Clifford algebra of a free quadratic space over an arbitrary semi-local ring R in Brawer-Wall group BW(R) is determined by its rank, determinant, and Hasse invariant. In this paper, we prove a corresponding result when R is a full ring.Throughout this paper, unless otherwise specified, we assume that R is a commutative ring having 2 a unit. A quadratic space (V, B, .phi.) over R is a finitely generated projective R-module V with a symmetric bilinear mapping B: V*V.rarw.R which is non-degenerate (i.e., the natural mapping V.rarw.Ho $m_{R}$(V,R) induced by B is an isomorphism), and with a quadratic mapping .phi.: V.rarw.R such that B(x,y)=1/2(.phi.(x+y)-.phi.(x)-.phi.(y)) and .phi.(rx) = $r^{2}$.phi.(x) for all x, y in V and r in R. We denote the group of multiplicative units of R by U9R). If (V, B, .phi.) is a free rank n quadratic space over R with an orthogonal basis { $x_{1}$,.., $x_{n}$}, we will write < $a_{1}$,.., $a_{n}$> for (V, B, .phi.) where the $a_{i}$=.phi.( $x_{i}$) are in U(R), and denote the space by the table [ $a_{ij}$ ] where $a_{ij}$ =B( $x_{i}$, $x_{j}$). In the case n=2 and B( $x_{1}$, $x_{2}$)=1/2 we reserve the notation [a $a_{11}$, $a_{22}$] for the space. A commutative ring R having 2 a unit is called full [10] if for every triple $a_{1}$, $a_{2}$, $a_{3}$ of elements in R with ( $a_{1}$, $a_{2}$, $a_{3}$)=R, there is an element w in R such that $a_{1}$+ $a_{2}$w+ $a_{3}$ $w^{2}$=unit.TEX>=unit.t.t.t.

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A comparative study on literature class in DDC and KDC (DDC와 KDC의 문학분야 비교연구)

  • 심의순
    • Journal of Korean Library and Information Science Society
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    • v.14
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    • pp.39-69
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    • 1987
  • The purpose of this research is to analyze the differences between literature (Belles-letters) class in DDC 19 and literature class in KDC 3. The results of the study can be summarized as follows : 1. The section of philosophy and theory of literature in DDC was subdivided according to the properties as including subsection of theory of criticism but KDC didn't subdivide this section. 2. In DDC, the subsections of 'rhetoric in specific languages' and 'rhetoric of specific kinds of composition' in rhetoric section was established and can subdivide according to each languages and subjects. These considerations can be useful as compared with KDC. 3. In DDC, collections or criticism of several literatures in specific forms can be more subdivide according to specific aspects or features dealing with in the collections or criticism by a n.0, pplying Table 3-A when specified more than the literary form. 4. Reviewing a notational rank to be assigned in literatures of specific languages, Latin literature and Classical Greek literature to be ranked in division in DDC was established as subsection in KDC to treat them as literatures of minor languages. 5. The DDC can sometimes a n.0, pply, in literatures of all languages, the notations of Table 3 to be subdivided again as specific kinds of literary forms, but KDC subdivided literary forms as specific kinds of each forms in only Korean, Chinese, Japanese literature. 6. In DDC, even literatures of minor languages are provided with 'the period table for the specific literature' under each literature of specific languages in schedules and these period tables can be a n.0, pplied a n.0, ppropriately, but period numbers in KDC was established in only Korean, Chinese, Japanese literature. 7. The optional use of letter prefixes or special numbers such as 828.99 to distinguish literatures of countries other than the "mother country" which makes the use of period tables feasible, but the KDC can only use to distinguish without the function of dividing a period such as DDC. 8. According to a n.0, pplying Table 3 and 3-A also in literatures of specific languages(810-890), a literature of specific languages, a specific literary form in literature of specific languages and a literature or literary form of specific period, in case of a n.0, pplying 'form divisions 08-09', can subdivide again by a specific aspect or feature dealing with in the works when specified. 9. For grasping the rate of subdividing, after selecting several sample-titles in literary field, they classified by DDC and KDC and gave a definite score in accordance with analytic small subjects. According to the results, the rate of subdividing in literature class of KDC is proved as less 22.8% than DDC. than DDC.

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A Study on the Secure Prescription Transmission System based on the XML (XML기반의 안전한 처방전 전송 시스템에 관한 연구)

  • Lee Sang-Beom;Lee Seong-Joo
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.8 no.8
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    • pp.1777-1782
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    • 2004
  • I propose a prescription transmission system based on XML in this paper, and it is not to attach a former signature to only a XML document for encoding of XML/EDI, and it is construction, one with the prescription transmission system which is safer with what use a way to attach a digital signature to DTD. I defined sub element to manage information prescription DTD defined prescription information, patient information, medical care organ information, prescription details information, compounding of medicines details information element according to for each a component of a prescription I went along, and to have looked up, and to have obeyed information transmission at he low rank. I read a DTD file for safe prescription transmission, and I do element or property, the entity which I do it, and is extracted here, and Pasing is saved in a table while being a field. If Pasing is finished, I read and lift a hash table and carry out message a digest. I compose it with an early private key and create a digital signature.

A Study on the Secure Prescription Transmission System using XML/DTD digital signature (XML/DTD 전자서명을 이용한 안전한 처방전 전송 시스템에 관한 연구)

  • Kim, Hyeong-Gyun;Bae, Yong-Guen
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.4
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    • pp.722-727
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    • 2007
  • We propose a prescription transmission system based on XML in his paper, and it is not to attach a former signature to only a XML document for encoding of XML/EDI, and it is construction, one with the prescription transmission system which is safer with what use a way to attach a digital signature to DTD. I defined sub element to manage information prescription DTD defined prescription information, patient information, medical care organ information, prescription details information, compounding of medicines details information element according to for each a component of a prescription I went along, and to have looked up, and to have obeyed information transmission at he low rank. I read a DTD file for safe prescription transmission, and I do element or property, the entity which I do it, and is extracted here, and Pasing is saved in a table while being a field. If Pasing is finished, I read and lift a hash table and carry out message a digest. I compose it with an early private key and create a digital signature.

Polynomially Adjusted Normal Approximation to the Null Distribution of Ansari-Bradley Statistic

  • Ha, Hyung-Tae;Yang, Wan-Youn
    • The Korean Journal of Applied Statistics
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    • v.24 no.6
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    • pp.1161-1168
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    • 2011
  • The approximation for the distribution functions of nonparametric test statistics is a significant step in statistical inference. A rank sum test for dispersions proposed by Ansari and Bradley (1960), which is widely used to distinguish the variation between two populations, has been considered as one of the most popular nonparametric statistics. In this paper, the statistical tables for the distribution of the nonparametric Ansari-Bradley statistic is produced by use of polynomially adjusted normal approximation as a semi parametric density approximation technique. Polynomial adjustment can significantly improve approximation precision from normal approximation. The normal-polynomial density approximation for Ansari-Bradley statistic under finite sample sizes is utilized to provide the statistical table for various combination of its sample sizes. In order to find the optimal degree of polynomial adjustment of the proposed technique, the sum of squared probability mass function(PMF) difference between the exact distribution and its approximant is measured. It was observed that the approximation utilizing only two more moments of Ansari-Bradley statistic (in addition to the first two moments for normal approximation provide) more accurate approximations for various combinations of parameters. For instance, four degree polynomially adjusted normal approximant is about 117 times more accurate than normal approximation with respect to the sum of the squared PMF difference.

Efficient Accessing and Searching in a Sequence of Numbers

  • Seo, Jungjoo;Han, Myoungji;Park, Kunsoo
    • Journal of Computing Science and Engineering
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    • v.9 no.1
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    • pp.1-8
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    • 2015
  • Accessing and searching in a sequence of numbers are fundamental operations in computing that are encountered in a wide range of applications. One of the applications of the problem is cryptanalytic time-memory tradeoff which is aimed at a one-way function. A rainbow table, which is a common method for the time-memory tradeoff, contains elements from an input domain of a hash function that are normally sorted integers. In this paper, we present a practical indexing method for a monotonically increasing static sequence of numbers where the access and search queries can be addressed efficiently in terms of both time and space complexity. For a sequence of n numbers from a universe $U=\{0,{\ldots},m-1\}$, our data structure requires n lg(m/n) + O(n) bits with constant average running time for both access and search queries. We also give an analysis of the time and space complexities of the data structure, supported by experiments with rainbow tables.

An Analytical Study on the Royal Family Birthday Party Menu of Chosun Dynasty (조선조(朝鮮朝) 궁중(宮中) 탄일상(誕日床) 발기의 분석적(分析的) 연구(硏究))

  • Han, Bok-Jin;Lee, Sung-Woo
    • Journal of the Korean Society of Food Culture
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    • v.4 no.1
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    • pp.21-37
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    • 1989
  • This paper studied what kind of foods were served how often in the table of the Royal family birthday parties by analyzing 18 sets of the Royal family birthday party menu with respect to the rank of Royal family for each season respectively among all the kinds of food menu of Chosun Dynasty. From this sudy a good representation of primary Royal King's birthday menu could be drown. The menu of the King was most in variety. And the King was served in the range of 46 to 74 kinds of food and its number of dishes varied 28 to 40, and the other royal family were served in the range of 19 to 44 kinds of foods and its number of dishes varied 15 to 26. The menu included variable dishes such as Yoomilkwa (fried cookies 油蜜果) 7, Gangjung 17 (fried rice cookies 姜?) 17, Dasik (mold cookies 茶食) 8, Suksilkwa (cooked fruits 熟實果) 1, Jungkwa (compoted fruit 正果) 1, Byung (rice cakes 餠) 25, Umchung (punch 飮淸) 4, Sengka (fresh fruits 生果) 21, Jusik (main meal 主食) 4, Chanpum (side dishes 饌品) 27, Jomipum (sauce, honey, mustard 調味品 ) 3.

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Effects of Nutrition Education on Dietary Knowledge, Dietary Attitudes and Dietary Behavior of Elderly (노인 대상 영양교육이 식생활지식, 태도 및 행동에 미치는 효과)

  • Hyewon Shin;Inok Lee;Jiwon Kim;Yulee Shin
    • The Korean Journal of Food And Nutrition
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    • v.36 no.2
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    • pp.153-162
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    • 2023
  • The purpose of this study was to evaluate the effect of nutrition education on dietary knowledge, dietary attitudes, and dietary behavior of elderly by analyzing changes before and after nutrition education. This study was conducted in Seoul from March 2022 to December 2022 for 50 elderly (6 male, 44 female) who participated in nutrition education for 8 weeks at three senior welfare centers (Seodaemun, Seongbuk, Jongno). A total of 35 responses were used in the final analysis. Statistical analysis was conducted using descriptive statistics, paired t-test, and Wilcoxon's signed rank test by age, hypertension, and dislipidemia to find effect of nutrition education on their nutritional knowledge, dietary attitudes, and dietary behavior. Results showed that nutrition education had a significant effect on the elderly. In particular, for those with chronic diseases such as hypertension and dislipidemia, the difference after education was significant, indicating significant changes in dietary habits. This study is expected to provide basic data for the development of a systematic nutrition education program for the elderly in the future.

Risk Assessment of the Road Cut Slopes in Gyeoungnam based on Multiple Regression Analysis (다중회귀분석을 통한 경남 지방도로 절취사면의 안정성평가)

  • Kang, Tae-Seung;Um, Jeong-Gi
    • The Journal of Engineering Geology
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    • v.17 no.3
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    • pp.393-404
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    • 2007
  • The purpose of this study is to capture the essentials in survey and evaluation scheme which are able to assess the hazard of a rock slope systematically. Statistical analysis are performed on slope instability parameters related to failure of the rock slope. As the slope instability parameters, twelve survey items are considered such as tension crack, surface deformation, deformation of retaining structures, volume of existing failures, angles between strike of discontinuity and strike of cut slope face, angles between dip of discontinuity and dip of cut slope face, discontinuity condition, cut slope angle, rainfall or ground water level, excavation condition, drainage condition, reinforcement. A total of 233 road cut slopes located in Gyeongnam were considered. The stability of the road cut slopes were evaluated by estimating the slope instability index(SII) and corresponding stability rank. 126 rock slopes were selected to analyze statistical relation between SII and slope instability parameters. The multiple regression analysis was applied to derive statistical models which are able to predict the SII and corresponding slope stability rank. Also, its applicability was explored to predict the slope failures using the variables of slope instability parameters. The results obtained in this study clearly show that the methodology given in this paper have strong capabilities to evaluate the failures of the road cut slope effectively.

The seven-year cumulative survival rate of Osstem implants

  • Kim, Young-Kyun;Kim, Bum-Su;Yun, Pil-Young;Mun, Sang-Un;Yi, Yang-Jin;Kim, Su-Gwan;Jeong, Kyung-In
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.40 no.2
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    • pp.68-75
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    • 2014
  • Objectives: This study was performed to analyze the cumulative survival rate of Osstem implants (Osstem Implant Co., Ltd.) over a seven-year period. Materials and Methods: A total of 105 patients who had 467 Osstem implants that were placed at the Section of Dentistry, Seoul National University Bundang Hospital (Seongnam, Korea) from June 2003 through December 2005 were analyzed. The life table method and a cross-tubulation analysis, log rank test were used to evaluate the survival curve and the influence that the prognostic factors. The prognostic factors, i.e., age and gender of patients, diameter and length, type of implants, bone graft history and loading time were determined with a Cox proportional hazard model based on logistic regression analysis. Results: The seven-year cumulative survival rate of Osstem implants was 95.37%. The Cox proportional hazard model revealed that the following factors had a significant influence on survival rate; increased diameter, reduced prosthetic loading period and performance of bone grafting. Conclusion: The osstem implants showed satisfactory results over the seven-year study period.