• 제목/요약/키워드: N-dichotomy

검색결과 10건 처리시간 0.026초

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

  • Park, Jeong-Soo
    • Journal of the Korean Statistical Society
    • /
    • 제23권2호
    • /
    • pp.367-378
    • /
    • 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.

  • PDF

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

  • Murty, M.S.N.;Kumar, G. Suresh
    • 대한수학회지
    • /
    • 제45권5호
    • /
    • pp.1361-1378
    • /
    • 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.

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

  • 이주호;김민용;김희주;신용섭;오환섭;박영배;박영재
    • 대한한의진단학회지
    • /
    • 제16권2호
    • /
    • pp.59-70
    • /
    • 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
    • /
    • 제50권1호
    • /
    • pp.15-35
    • /
    • 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
    • /
    • 제15권1_2호
    • /
    • pp.527-537
    • /
    • 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.

한국의 산업발전과 경기도의 역할: 국가혁신클러스터 사업을 사례로 (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)

  • 정성훈
    • 한국경제지리학회지
    • /
    • 제24권3호
    • /
    • pp.232-242
    • /
    • 2021
  • 이 논문의 목적은 국가혁신클러스터 사업을 사례로 한국의 산업발전과 경기도의 역할을 살펴보는 데 있다. 비수도권 지역의 산업발전을 목적으로 이루어진 국가혁신클러스터 사업에서 국가융복합단지내 기업들의 총괄 거래의 지역적 구조를 살펴보면, 경기도를 포함한 수도권 내 기업들과의 거래가 전체 거래 비율에서 약 50% 이상을 차지하고 있다. 특히 14개 국가혁신클러스터 중 5개 국가혁신클러스터는 기업 간 거래 비중에 있어서 사업대상 지역내 거래보다 경기도에 입지한 기업들과의 거래가 훨씬 높게 나타났다. 이러한 맥락에서 살펴볼 때, 향후 지역산업 정책방향을 수도권 대 비수도권이라는 이분법적 구조에서 진행하는 것보다는 수도권과 비수도권 상생 협력에 초점을 두고 추진하는 것이 필요하다.

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

  • 이태현
    • 한국초등상담교육학회:학술대회논문집
    • /
    • 한국초등상담교육학회 2004년도 학술대회
    • /
    • pp.223-245
    • /
    • 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.

  • PDF

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

  • 김광섭;노준우
    • 한국수자원학회논문집
    • /
    • 제36권3호
    • /
    • pp.495-505
    • /
    • 2003
  • Meteosat-5 IR 위성영상을 사용하여 1999년과 2000년 여름몬순기간 동안 발생한 네팔과 인디아 북쪽 히말라야 산악지역에 발생하는 여러 형태의 대류계 즉, 중규모 대류계들 (Mesoscale Convective Complex, MCC and Convective Cloud Clusters, CCC) 와 보다 약한 Disorganized Short-lived Convection (DSL)의 이동특성 및 시공간적인 생성특성 등을 조사하였다. 대상지역에 발생하는 중규모 대류계의 전형적인 지속시간은 약 11시간이며 크기는 약 $300,000km^2$ 이다. 중규모 대류계의 중심은 히말라야산맥으로부터 원거리에 위치함에도 불구하고 집중강운-는 위도 $25^{\circ}-30^{\circ}N$ 사이의 히말라야 하단에 발생하는 중규모 대류계와 직접적 상관관계를 가진다. 결과는 히말라야 고도 500-4000m에 설치된 강우계로부터 획득된 강우자료의 변화 특성과 대류계 거동 특성이 유사함을 보여주었다(Barros et al. 2000). 집중호우의 강력한 야간발생과 Gangetic Plains에서 발생한 중규모 대류계와의 연관성을 보여주었다(Barros et al. 2000).

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

  • 김선웅
    • 비교문화연구
    • /
    • 제46권
    • /
    • pp.173-197
    • /
    • 2017
  • 본 연구는 헤수스 페르난데스 산토스의 "용감한 사람들"에 나타난 공간의 의미를 연구했다. 주요 내용은 작품에 나타난 공간에 대한 다양한 측면을 담고 있다. 시간의 흐름에 따라 공간의 개념도 소설의 진화와 함께 변화되었음을 볼 수 있다. 과거 아리스토텔레스는 공간을 사물과 인물이 존재하는 곳으로 여겼다. 르네상스까지 이러한 개념이 유지되었다. 19세기에 공간은 당시 낭만주의 작가들이 그 중요성을 더 부여해서 단순한 행동 묘사에만 그치지 않았다. 그리고 이후 사실주의는 집 안 내부 등과 같이 구체적인 공간에 관심을 보였다. 본 논문에서는 "용감한 사람들"에서의 공간의 다양한 의미에 초점을 두었다. 우선 실재적인 공간과 이상적인 공간에 대하여 살펴보았고, 인물들에 따른 치유적인 공간도 찾아보았다. 도시와 시골의 대립적인 공간이 어떻게 묘사되었는지, 마지막으로는 남성과 여성의 대립적인 공간을 보았다. 연구에 따르면, 어떤 인물은 자신의 이상적인 공간을 찾아 떠나기 했고, 여자 인물들은 부엌이라는 공간에서 편안함을 찾았고, 남자들은 카페에 모여 친구들과 이야기를 하는 광경을 자주 볼 수 있었다. 문이나 창문은 집 안의 구조적인 경계일 수도 있지만, 남성과 여성의 심리적 경계가 되기도 했다.