• Title/Summary/Keyword: N-dichotomy

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Equivalence-Singularity Dichotomies of Gaussian and Poisson Processes from The Kolmogorov's Zero-One Law

  • Park, Jeong-Soo
    • Journal of the Korean Statistical Society
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    • v.23 no.2
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    • pp.367-378
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    • 1994
  • Let P and Q be probability measures of a measurable space $(\Omega, F)$, and ${F_n}_{n \geq 1}$ be a sequence of increasing sub $\sigma$-fields which generates F. For each $n \geq 1$, let $P_n$ and $Q_n$ be the restrictions of P and Q to $F_n$, respectively. Under the assumption that $Q_n \ll P_n$ for every $n \geq 1$, a zero-one condition is derived for P and Q to have the dichotomy, i.e., either $Q \ll P$ or $Q \perp P$. Then using this condition and the Kolmogorov's zero-one law, we give new and simple proofs of the dichotomy theorems for a pair of Gaussian measures and Poisson processes with examples.

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ON DICHOTOMY AND CONDITIONING FOR TWO-POINT BOUNDARY VALUE PROBLEMS ASSOCIATED WITH FIRST ORDER MATRIX LYAPUNOV SYSTEMS

  • Murty, M.S.N.;Kumar, G. Suresh
    • Journal of the Korean Mathematical Society
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    • v.45 no.5
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    • pp.1361-1378
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    • 2008
  • This paper deals with the study of dichotomy and conditioning for two-point boundary value problems associated with first order matrix Lyapunov systems, with the help of Kronecker product of matrices. Further, we obtain close relationship between the stability bounds of the problem on one hand, and the growth behaviour of the fundamental matrix solution on the other hand.

A Study on Stage Classification of Eight Constitution Questionnaire (팔체질 진단을 위한 단계별 설문지 개발 연구)

  • Lee, Joo-Ho;Kim, Min-Yong;Kim, Hee-Ju;Shin, Young-Sup;Oh, Hwan-Sup;Park, Young-Bae;Park, Young-Jae
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.16 no.2
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    • pp.59-70
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    • 2012
  • Objectives : Pulse diagnosis by Expert is the only way to classify 8 Constitutions so the study to supplement classifying method by the questionnaire has developed and modified and ECM-32 System has designed in 2010. But analyzing with Decision tree had many nodes and 32 important questions omitted while processing the data. So this study was to classify the 8 constitution patients into 2 groups first and analyze its characters in consecutive order. Methods : The participants of this study were 1027 patients who classified into one of the 8 constitutions according to pulse diagnosis and answered 251 questionnaires in 2010. They were divided into sympathetic nerve acceleration constitution and parasympathetic nerve acceleration constitution and analyzed with decision tree. Results : The reponses of the questionnaire were analyzed with 4 methods of 5 scales interval method from 0 to 5, Na, Low(1,2), Medium(3), High(4,5), average value, Y/N dichotomy. Average Value had no significance. 1. From the 5 scale interval method 6 questionnaires with 7 nodes (F5e, B1d, F7f, F2a, F1b, C4L) were significant. The accuracy was 92.5%. 2. From L, M, H method 7 questionnaires with 7 nodes(F5e, B1d, F7f, F1a, B1c, C4L, P3d) were significant. The accuracy was 92.5%. 3. From Y/N dichotomy 9 questionnaires with 9 nodes( F5e, B1d, F7f, F1a, B1c, C4L, B1b, P1i, B2a) were significant. The accuracy was 93.18%. Conclusions : Based on this study, Yes or No dichotomy method was most significant and categorized among the 4 methods. Unlike previous studies which used interval scale method only, Y/N dichotomy method was more statistically significant with the questionnaire to supplement the method of pulse diagnosis. For further study by analyzing decision tree method in consecutive order, the patients can be divided into 8 Constitutions with higher significance with less questionnaires.

Spectral Analysis of Four Term Differential Operator

  • Oluoch, Nyamwala Fredrick
    • Kyungpook Mathematical Journal
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    • v.50 no.1
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    • pp.15-35
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    • 2010
  • By strengthening dichotomy condition and weakening decay conditions, we show that a four term 2n-th order differential operator with unbounded coefficients is nonlimit-point. Using stringent conditions we show that the deficiency index of this operator is determined by the behaviour of the coefficients themselves. Similarly, we prove the absence of singular continuous spectrum and that the absolutely continuous spectrum has multiplicity two.

ASYMPTOTIC BEHAVIOUR FOR SEMILINEAR DIFFERENTIAL SYSTEMS

  • Song, Se-Mok;Im, Dong-Man;Lee, Gi-Soo
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.527-537
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    • 2004
  • This paper deals with the asymptotic behaviour for the semi-linear differential systems x' (t) = A(t)χ + f(t, x). We give a detailed proof of known generalization of Coppel's result about the above mentioned system.

The Role of Gyeonggi Province in the Industrial Development of the Republic of Korea: A C ase Study of the Program of the National Innovative Cluster (한국의 산업발전과 경기도의 역할: 국가혁신클러스터 사업을 사례로)

  • Jung, Sung-Hoon
    • Journal of the Economic Geographical Society of Korea
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    • v.24 no.3
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    • pp.232-242
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    • 2021
  • The aim of this article is to examine the role of Gyeonggi Province in the industrial development in the Republic of Korea by taking a case study of the program of the national innovative cluster (NIC). In such program which has been for the purpose of the regional industrial development for non-Seoul metropolitan regions (N-SMRs) since 2018, the total firms' transactions were highly focused upon Gyeonggi Province and other Seoul metropolitan regions (SMRs). Especially, firms' transactions in 5 clusters of the total 14 clusters concentrated on Gyeonggi Province. Within this context, the future direction of this policy program for the regional industrial development and the national balanced development is more focused upon a win-win strategy between the SMR and N-SMRs rather than the dichotomy between them.

Relationship of Depression, Irrational Faith and the School Adaptation of Elementary School Students (초등학생의 우울성향, 비합리적 신념, 학교적응의 관계)

  • Lee, Tae-Hyeon
    • 한국초등상담교육학회:학술대회논문집
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    • 2004.01a
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    • pp.223-245
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    • 2004
  • The purpose of this study was to investigate the differences in depression, irrational faith and the school adaptation of elementary school students by their sex and region, to provide basic materials to teach children with the likelihood to be depressed by analyzing the correlation of depression, irrational faith and school adaptation, and help them to have healthy emotion and behaviors. To achieve these goals, following agenda were set. First, what are the differences in the depression, the irrational faith and the school adaptation of elementary school students by their sex and region? Second, what is the relationship between the depression characteristics and the irrational faith of elementary school students? Third, what is the relationship between the irrational faith and the school adaptation of elementary school students? Fourth, what is the relationship between the depression characteristics and school adaptation of elementary school students? : To resolve these agenda, the subjects were selected from Grade 6 students from the elementary schools locatec in Suwon and Hwaseong. The jubjects were selected from the two schools in Suwon and three schools in Hwaseong which were randomly chosen. The subjects were 670 in total. 70 insincere answers were excluded from the analysis. Therefore the subjects used in the analysis were 600 in total(150 male and female students in city respectively and 150 male and female students in rural area respectively). The tools used for this study were Children's Depression Inventory (CDI), Irrational Faith Test (over-self-reliance, dichotomy, determinism, over-concern, evasive faith, over dependent faith), School Adaptation Test (Attitudes to teachers and school environments, hobbies and specialties, academic achievements, peer relationship). Materials were processed with the SPSS program for ANOVA and correlation analysis. All the statistical values were verified at .05 level. The followings are the results of the analysis of the collected data. First, in the analysis of depression, there was significant difference between male and female students (F=4.75, p<.05). Female students (X =56.93) showed a little higher value than male students (X =53.83). There was significant difference between regions (F=13.02, p<.001), too. Rural area students (X =57.93) showed higher value than city area students (X =52.82). When analyzing irrational faith, there was significant difference between male and female students (F=S.60, p<.05). Female students (X =81.32) showed a little higher value than male students (X =77.72). There was no significant difference according to regions. When analyzing the school adaptation, there was no significant difference according to either sex or region. Second, depression and irrational faith showed highly positive correlations in all areas. In particular, over concern and evasive faith showed the highest correlation with depression inclination (r=.68, p<.001). When looking into the results by sex and by region, female students (r=.70, p<.001) and the rural area students (r=.69, p<.001) showed higher correlation between depression and irrational faith than male students and city area students (r=.63, p<.001). Additionally, in all areas including by sex and by region, a positive correlation was shown. In all variables such as male students (r=.63, p<.001), female students (r=.72, p<.001), city area students (r=.66, p<.001), and rural area students (r=.69, p<.001), over concern and evasive faith showed the highest correlation with depression inclinations. Third, irrational faith (overall) and its sub factors such as over-self-reliance, dichotomy, determinism, over-concern and evasive faith had significant negative correlations with school adaptation (overall) and its sub factors in the scope of $r=-.27{\sim}-.52$. Determinism out of the sub factors of the irrational faith had the highest negative correlation with school adaptation (overall) and sub factors at the scope of $r=-.37{\sim}-.51$. However, over-self-reliance showed the negative correlation with school adaptation (overall) and its sub factors only partially. When looking into the results by gender, both genders showed significant negative correlation between irrational faith (overall) and its sub factors with school adaptation. Male students showed highly negative correlations with school adaptation (overall) and its sub factors in determinism ($r=-.35{\sim}-52$) and over-concern and evasive faith($r=-.31{\sim}-.51$), and fern ale students showed in over-self-reliance ($r=-.27{\sim}-.45$). However over-self-reliance showed negative correlation with school adaptation and its sub factors only partially. When looking into by region, both city and rural areas showed significant negative correlation between irrational faith (overall) and it sub factors, and school adaptation. Rural areas showed higher negative correlation in irrational faith (overall) ($r=-.39{\sim}-.53$) and over-self-reliance ($r=-.32{\sim}-.44$) and dichotomy ($r=-.28{\sim}-.39$) than city areas. However over-self-reliance showed negative correlation with school adaptation and its sub factors only partially. Fourth, depression and school adaptation showed the negative correlation in all areas. In particular, academic achievements and peer relationship showed the highest negative correlation with depression (r=-.53 p<.001). When looking into the results by sex and by region, female students (r=-.62, p<.001) and rural area students (r=-.61, p<.001) showed higher negative correlation with depression and school adaptation than female students (r=-.56, p<.001) and city area students (r=-.57, p<.001). Although there was negative correlation in all areas by sex and by region, male students (r=-.52, p<.001) and rural area students (r=-.56, p<.001) showed the highest negative correlation in peer relationship and female students (r=-.57, p<.001) and city area students (r=-.56, p<.001) showed the highest negative correlation in academic records. Based on the results of the study, it is proposed to provide elementary school students sho are likely to be depressed very easily with careful counselling and teaching based on the attention and love in school fields so that they can adapt themselves to home, school and society with positive and reasonable thinking.

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Characterization of Convective Weather Systems in the Middle Himalaya during 1999 and 2000 Summer Monsoons (1999년과 2000년 여름몬순기간 동안 히말라야 지역에 발생한 대류계의 특성에 관한 연구)

  • Kim, Gwang-Seob;Noh, Joon-Woo
    • Journal of Korea Water Resources Association
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    • v.36 no.3 s.134
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    • pp.495-505
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    • 2003
  • Convective weather systems such as organized mesoscale convective systems (Mesoscale Convective Complex, MCC and Convective Cloud Clusters, CCC) and much weaker Disorganized Short-lived Convection (DSC) in the region of India and Nepal were analyzed using the Meteosat-5 IR imagery. The diurnal march and propagation of patterns of convective activity in the Himalayas and Northern Indian subcontinent were examined. Results indicate that infrared satellite images of Northern India and along the southern flank of the Himalayas reveal a strong presence of convective weather systems during the 1999 and 2000 monsoons, especially in the afternoon and during the night. The typical MCCs have life-times of about 11 hours, and areal extent about $300,000km^2$. Although the core of MCC activity remains generally away from the Middle Himalayan range, the occurrence of heavy precipitation events in this region can be directly linked to MCCs that venture into the Lesser Himalayan region and remain within the region bounded by $25^{\circ}-30^{\circ}N$. One principal feature in the spatial organization of convection is the dichotomy between the Tibetan Plateau and the Northern Indian Plains: CCCs and DSCs begin in the Tibetan Plateau in the mid-afternoon into the evening; while they are most active in the mid-night and early morning in the Gangetic Plains and along the southern facing flanks of the Himalayas. Furthermore, these data are consistent with the daily cycle of rainfall documented for a network of 20 hydrometeorological stations in Central Nepal, which show strong nocturnal peaks of intense rainfall consistent with the close presence of Convective Weather Systems (CWSs) in the Gangetic Plains (Barros et al. 2000).

The Meaning of Space in Los bravos (『용감한 사람들 Los bravos』에 나타난 공간의 의미)

  • Kim, Son-Ung
    • Cross-Cultural Studies
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    • v.46
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    • pp.173-197
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    • 2017
  • The present work aims to analyze the concept of space in $Jes{\acute{u}}s$ $Fern{\acute{a}}ndez$ Santos' work Los bravos. Throughout its pages, one can observe the multidimensional possibilities of space in literature. Throughout time, the concept of literary space has developed and it has been modified constantly in order to meet the needs required for the evolution of narratology. In the past, Aristotle stated that space is the place where characters and physical objects happen to exist. This remained almost unchanged until the Renaissance. In the $19^{th}$ century, space stopped being considered just a mere scene where the action takes place as it was given more importance by romantic authors in their works. Realism intensified the spaces as the interior of the house. In fact, the descriptions of space became more important. In this article, I focus on the various meanings of space in the novel Los bravos. First, I analyze the dichotomy between real and ideal spaces, and continue with the cathartic dimension of the fictional space. Then, I present and analyze the opposition between urban and rustic spaces in this novel, and, finally, I show the confrontation between the spaces of men and women. Through this analysis, we can observe that characters have a space where they feel more comfortable and how, occasionally, they leave their "usual space of action" to reach their "ideal place". Women want to stay in their kitchen to chat with each other, while men prefer to leave the house to visit a cafe with their colleagues. The door and the window divide the border of the worlds of men and women. However, that line is not only dividing the structure of the house, but it is also of a psychological house.