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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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A Studyon the Movment of Ground Water of Banayweol Formation (반야월층(半夜月層)의 지하수운동(地下水運動)에 관(關)한 연구(硏究))

  • Kim, Yong Ki
    • Economic and Environmental Geology
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    • v.9 no.4
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    • pp.225-240
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    • 1976
  • This study deals with the flow of bed rock ground water of Banyaweol Formation, which is presently cleared up as a laminar flow. The result obtained may be summarized as the following. 1) The Banyaweol Formation consists mainly of thin-bedded, green to blackish green shale, mudstone, and marl. The marl and mudstone alternatively occur with shale. The marl and mudstone form a aquifer of Banyaweol Formation. In this study, a group of aquifer is in convenience named as a aquifer zone. The aquifer occurs in lenticular form. The aquifer seems to be a type of artesian aquifer because it is covered with aquicludes, but it actually forms a unconfined aquifer because its piezometric surface stays under the lower aquiclude. The lowering of piezometric level is formed because of leakage of the ground water to the lower aquifer undersaturated. 2) The coefficient of permeability of Banyaweol Formation's ground water body (K) is derived by using Dupuit's equation as the following ${\log}K=\frac{CK^2-dK+f}{aK-b}\;\(M=1.365(2H-s)s\\M={\log}1.956s{\sqrt{H}}r\)$ here, $$a=\sum_{1}M_iG_i$$ $$b={\frac{1}{2}log{\sum_{i}}Q_i{^2}$$ $$c=2{\sum_{i}}M_i{^2}$$ $$d=loge{\sum_{i}}M_{i}Q_{i}+2{{\sum_{i}}N_{i}Q_{i}$$ $$f=loge{\sum_{i}}Q_i{^2}N_i$$ If the measured values substituted for the above equation, the coefficient of permeability of the aquifer is 4.1m/day. The coefficient of storge of the aquifer is $2.8{\times}10^{-4}$ if the measured values substituted for Theis's equation. Using the above constants, the filtration velocity of the aquifer is $2.1{\times}1O^{-1}m/day$and the daily flow quantity of the ground water is $847.38m^{3}/day$. 3) In order to understand the time necessary for a circulation of ground water body, the contents of tritum contained in the ground water are measured as 2.3 T.U. at the Korea Atomic Energy Research Institute. Before 1952, the average concentration of tritium per year in groundwater was reported as 10T. u., taking it as the standard, the groundwater of the present study 26.25 years old. Therofore, the groundwater of the Banyaweol Formation is judged as an relatively old groundwater. It is characteristic that the ground water of Banyawol Formation is laminar flow as well as unconfined aquifer and ground water flow of relatively long time. 4) The nature, means of flow, and circulation of Banyaweol Formation's ground water body make it possible set up this ground water body as a ground water system.

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An Explorative Study on the Health Behavior of Middle-Aged Women in the Middle East Area Using the Q-Methodological Approach (Q-방법론을 이용한 중동지역내 중년여성의 건강행위에 관한 탐색적 연구)

  • Park, Chung-Sun
    • Research in Community and Public Health Nursing
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    • v.19 no.3
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    • pp.408-418
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    • 2008
  • The purpose of the study is to understand the types and the features of the health behavior of middle-aged women in the Middle East using Q-methodology. A survey was carried out during the period from the 1st of October to the 30th of December, 2006. Data for thirty five (35) women out of forty-nine (49) were analyzed through Principal Component Analysis and WRAP (Weighted Rotational Analytical Procedure). Analysis results showed that the group was divided into four types: Type I is health management; Type II is social activity; Type III is exercise orientation; and Type IV is religious dependency. Types I, II, and III were in a positive correlation with one another, and Type IV was not correlated with the other types. Subjective perception on the health behavior of middle-aged women in the Middle East (Jordan) was investigated and compared with middle-aged Korean women. The results of this study may provide more effective ways to improve the condition of health management and to promote the quality of life.

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Relationship between Blood Alcohol Concentrations and Breath Alcohol Concentrations of Healthy Korean Males (혈중 알코올 농도와 호흡기 알코올 농도 상관성: 한국인 남성)

  • Yi, SeungHwan;Nam, BeomWoo;Seo, JeongSeok
    • Journal of Auto-vehicle Safety Association
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    • v.7 no.4
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    • pp.9-15
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    • 2015
  • The relationship between BAC(Blood Alcohol Concentrations) and BrACs(Breath Alcohol Concentrations) and also partition ratio of healthy Korean adult males (96 males) are researched in this paper and its dependency is described according to TBW (total body water), BMI (body mass index), BFM (body fat mass), and PBF (percentage of body fat). Among the above four variables, TBW affects significantly to the partition ratio compared to the other variables. The partition ratio of Korean healthy males showed 1,913 (95 % Confidence Interval (C.I.) from 1,889 to 1,937) for the whole time intervals. However, when Q was averaged after 60 minutes later, its values was 2,011 (95 % C.I. from 1,982 to 2,040). Bland-Altman plots showed the compatibility of measurement methods of multi-gas analyzer, and the biases according to the partition ratios (Q=2,100 and Q=1,913) gave -0.0052 % (95 % CI from -0.0059 to -0.0045%) and -0.0004 % (95 % CI from -0.0011 to +0.0003%), respectively.

Q-learning to improve learning speed using Minimax algorithm (미니맥스 알고리즘을 이용한 학습속도 개선을 위한 Q러닝)

  • Shin, YongWoo
    • Journal of Korea Game Society
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    • v.18 no.4
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    • pp.99-106
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    • 2018
  • Board games have many game characters and many state spaces. Therefore, games must be long learning. This paper used reinforcement learning algorithm. But, there is weakness with reinforcement learning. At the beginning of learning, reinforcement learning has the drawback of slow learning speed. Therefore, we tried to improve the learning speed by using the heuristic using the knowledge of the problem domain considering the game tree when there is the same best value during learning. In order to compare the existing character the improved one. I produced a board game. So I compete with one-sided attacking character. Improved character attacked the opponent's one considering the game tree. As a result of experiment, improved character's capability was improved on learning speed.

Comparison of Toxic Effects of Mercury, Copper and Zinc on Photosystem II of Barley Cholroplasts (보리 엽록체의 광계 II에서 수은, 구리 및 아연의 저해효과 비교)

  • 전현식
    • Journal of Plant Biology
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    • v.36 no.3
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    • pp.195-201
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    • 1993
  • The room temperature fluorescence induction of chloroplasts was utilized as a probe to locate the site of inhibition by mercury, copper and zinc on PS II by mercury. Inhibitory effect of Hg2+ on electron transport activity was notable as compared with Cu2+ and Zn2+. At concentrations of HgCl2 over 50 $\mu$M, activities of PS II and whole-chain electron transport decreased more than 70%, while that of PS I decreased about 10~30%. This suggests that PS II is more susceptible to Hg2+ than PS I is. In the presence of diphenylcarbazide (DPC), 50 $\mu$M HgCl2 inhibited the reduction of dichlorophenolindophenol (DCPIP) about 50%. Addition of heavy metals induced marked decrease in maximal variable fluorescence/initial fluorescence [(Fv)m/Fo], but no changes in Fo. With various concentrations of heavy metals, changes of chlorophyll a fluorescence emitted by PS II showed gradual decrease in photochemical quenching (qQ), which indicates an increase in reduced state of electron acceptor, QA. Especially, the addition of HgCl2 caused a notable decrease of qQ. In the presence of 50 $\mu$M CuCl2, energy-depended quenching (qE) was completely reduced, whereas in the presence of 50 $\mu$M CuCl2 and ZnCl2 it was still remained. The above results are discussed on the effects of mercury in relation to water-splitting system and plastoquinone (PQ) shuttle system.

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PSEUDO-UNIVERSAL SPACES OF VECTOR BUNDLES

  • SOHN, KYU-HYUN
    • Honam Mathematical Journal
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    • v.3 no.1
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    • pp.41-60
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    • 1981
  • 다양체(多樣體)의 연구(硏究)에서 벡터속(束)의 개념(慨念)은 불가결(不可缺)하며 벡터속(束)의 연구(硏究)에는 엽층구조(葉層構造)의 연구(硏究)가 중요(重要)하다. 본(本) 논문(論文)은 권(圈) $\varrho$(M)의 응사보편공간(凝似普遍空間)에 관한 연구(硏究)(정리(定理) 4.8)로서 R. Bott의 엽층구조(葉層構造)에 관한 연구(硏究)([1])에서 착상(着想)된 것이다. 제이(第二), 삼절(三節)은 제사절(第四節)을 위한 준비(準備)로서, 제이절(第二節)에서는 벡터속(束)및 접속(接續)에 관한 성질(性質)을 논하고, 제삼절(第三節)에서는 위상권(位相圈), 층(層), 엽층구조(葉層構造) 및 $\Gamma_{q}$-cocycle 등에 관한 성질(性質)(명제(命題) 3.5, 3.7과 3.11)을 밝히고, 위상권(位相圈)의 구체적(具體的)인 예(例)(예(例)3.2, 3.3과 3.12)를 들었다. 제사절(第四節)에서는 $GL_{q}-cocycle$, 위상권(位相圈) $GL_{q}$, 집합(集合) $I_{so}(M_{k},\;GL_{q})$, $H^{1}(M_{k},\;GL_{q})$, $I_{so}(\varrho(M))$ 및 응사보편공간(凝似普遍空間)을 정의(定義)하고, 주정리(主定理) 4.8의 증명(證明)에 필요(必要)한 명제(命題)를 몇 개 기술(記述)하였다(명제(命題) 4.2, 4.5와 보제(補題) 4.9).

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The Sensitivity Analysis of Parameters of Urban Runoff Models due to Variations of Basin Characteristics (I) - Development of Sensitivity Analysis Method - (유역특성 변화에 따른 도시유출모형의 매개변수 민감도분석(I) -민감도분석방법의 개발-)

  • Seo, Gyu-U;Jo, Won-Cheol
    • Journal of Korea Water Resources Association
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    • v.31 no.3
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    • pp.243-252
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    • 1998
  • In this study, the new dimensionless values were defined and proposed to determine the parameters of urban runoff models based on the relative sensitivity analysis. Also, the sensitivity characteristics of each parameter were investigate. In order to analyze the parameter sensitivities of each model, total runoff ratio, peak runoff ratio, runoff sensitivity ratio, sensitivity ratio of total runoff, and sensitivity ratio of peak runoff were defined. $$Total\;runoff\;ratio(Q_{TR})\;=\;\frac{Total\;runoff\;of\;corresponding\;step}{Maximum\;total\;runoff}$$$$Peak\;runoff\;ratio(Q_{PR})\;=\;\frac{Peak\;runoff\;of\;corresponding\;step}{Maximum\;peak\;runoff}$$$$Runoff\;sensitivity\;ratio(Q_{SR})\;=\;\frac{Q_{TR}}{Q_{PR}}$$ And for estimation of sensitivity ratios based on the scale of basin area, rainfall distributions and rainfall durations in ILLUDAS & SWMM, the reasonable ranges of parameters were proposed.

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GENERAL TYPES OF (α,β)-FUZZY IDEALS OF HEMIRINGS

  • Jun, Y.B.;Dudek, W.A.;Shabir, M.;Kang, Min-Su
    • Honam Mathematical Journal
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    • v.32 no.3
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    • pp.413-439
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    • 2010
  • W. A. Dudek, M. Shabir and M. Irfan Ali discussed the properties of (${\alpha},{\beta}$)-fuzzy ideals of hemirings in [9]. In this paper, we discuss the generalization of their results on (${\alpha},{\beta}$)-fuzzy ideals of hemirings. As a generalization of the notions of $({\alpha},\;\in{\vee}q)$-fuzzy left (right) ideals, $({\alpha},\;\in{\vee}q)$-fuzzy h-ideals and $({\alpha},\;\in{\vee}q)$-fuzzy k-ideals, the concepts of $({\alpha},\;\in{\vee}q_m)$-fuzzy left (right) ideals, $({\alpha},\;\in{\vee}q_m)$-fuzzy h-ideals and $({\alpha},\;\in{\vee}q_m)$-fuzzy k-ideals are defined, and their characterizations are considered. Using a left (right) ideal (resp. h-ideal, k-ideal), we construct an $({\alpha},\;\in{\vee}q_m)$-fuzzy left (right) ideal (resp. $({\alpha},\;\in{\vee}q_m)$-fuzzy h-ideal, $({\alpha},\;\in{\vee}q_m)$-fuzzy k-ideal). The implication-based fuzzy h-ideals (k-ideals) of a hemiring are considered.

Ordination Analysis on the Forest Communities of Mt. Changan , Chonbuk (序列法에 依한 全北 長安山 森林群落 分析)

  • Kim, Chang-Hwan;Kil, Bong-Seop
    • The Korean Journal of Ecology
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    • v.14 no.3
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    • pp.231-241
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    • 1991
  • The analyses of correlation, enviromental gradient, continuum and polar ordination methods were used for studing on relationships between forest vegetation and their habitats in Mt. changan, chagsu-gun, korea. influencing correlation of moisture index to the main 41species from the study area they were composed of several groups by leading species of quercus mongoulica, that of carpinus tschonoskii and that of fraxinus mandshurica. On the other hand, it was found three communities in different habitats by environmental gradient i.e. each community of f. mandshurica, mangnolia sieboldii and hydrangea serrata for. acuminata have occurred in moist place, that of c. teschonoskii and q. serrata, in mesic and that of q. mongolica, q.variabilis, rhododendron schlippenbachii, in dry. in addition an occupied distribution area was investigated according to continuum index e.g. cornus controversa,betula costata,q. variabilis, q. serrata and q. mongolica over altitudinal 800m were distributed to a habitat were forming climax by q. mongolica, and/or c. controversa, f. mandshurica, q. serrata and c. tschonoskii under altitudinal 800m were done, by g. tschonoskii. while the forest vegetation of the area was classified into 6 communities such as q. mongolica community, q. variabilis community,q. serrata community, g. tschonoskii community,c. controversa community and f. mandshurica community by means of polar ordination analysis and these have come under the influence of environmental factors.

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