• 제목/요약/키워드: I-partition

검색결과 187건 처리시간 0.028초

REGULARITY OF TRANSFORMATION SEMIGROUPS DEFINED BY A PARTITION

  • Purisang, Pattama;Rakbud, Jittisak
    • 대한수학회논문집
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    • 제31권2호
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    • pp.217-227
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    • 2016
  • Let X be a nonempty set, and let $\mathfrak{F}=\{Y_i:i{\in}I\}$ be a family of nonempty subsets of X with the properties that $X={\bigcup}_{i{\in}I}Y_i$, and $Y_i{\cap}Y_j={\emptyset}$ for all $i,j{\in}I$ with $i{\neq}j$. Let ${\emptyset}{\neq}J{\subseteq}I$, and let $T^{(J)}_{\mathfrak{F}}(X)=\{{\alpha}{\in}T(X):{\forall}i{\in}I{\exists}_j{\in}J,Y_i{\alpha}{\subseteq}Y_j\}$. Then $T^{(J)}_{\mathfrak{F}}(X)$ is a subsemigroup of the semigroup $T(X,Y^{(J)})$ of functions on X having ranges contained in $Y^{(J)}$, where $Y^{(J)}:={\bigcup}_{i{\in}J}Y_i$. For each ${\alpha}{\in}T^{(J)}_{\mathfrak{F}}(X)$, let ${\chi}^{({\alpha})}:I{\rightarrow}J$ be defined by $i{\chi}^{({\alpha})}=j{\Leftrightarrow}Y_i{\alpha}{\subseteq}Y_j$. Next, we define two congruence relations ${\chi}$ and $\widetilde{\chi}$ on $T^{(J)}_{\mathfrak{F}}(X)$ as follows: $({\alpha},{\beta}){\in}{\chi}{\Leftrightarrow}{\chi}^{({\alpha})}={\chi}^{({\beta})}$ and $({\alpha},{\beta}){\in}\widetilde{\chi}{\Leftrightarrow}{\chi}^{({\alpha})}{\mid}_J={\chi}^{({\alpha})}{\mid}_J$. We begin this paper by studying the regularity of the quotient semigroups $T^{(J)}_{\mathfrak{F}}(X)/{\chi}$ and $T^{(J)}_{\mathfrak{F}}(X)/{\widetilde{\chi}}$, and the semigroup $T^{(J)}_{\mathfrak{F}}(X)$. For each ${\alpha}{\in}T_{\mathfrak{F}}(X):=T^{(I)}_{\mathfrak{F}}(X)$, we see that the equivalence class [${\alpha}$] of ${\alpha}$ under ${\chi}$ is a subsemigroup of $T_{\mathfrak{F}}(X)$ if and only if ${\chi}^{({\alpha})}$ is an idempotent element in the full transformation semigroup T(I). Let $I_{\mathfrak{F}}(X)$, $S_{\mathfrak{F}}(X)$ and $B_{\mathfrak{F}}(X)$ be the sets of functions in $T_{\mathfrak{F}}(X)$ such that ${\chi}^{({\alpha})}$ is injective, surjective and bijective respectively. We end this paper by investigating the regularity of the subsemigroups [${\alpha}$], $I_{\mathfrak{F}}(X)$, $S_{\mathfrak{F}}(X)$ and $B_{\mathfrak{F}}(X)$ of $T_{\mathfrak{F}}(X)$.

Prolong life-span of WSN using clustering method via swarm intelligence and dynamical threshold control scheme

  • Bao, Kaiyang;Ma, Xiaoyuan;Wei, Jianming
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권6호
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    • pp.2504-2526
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    • 2016
  • Wireless sensors are always deployed in brutal environments, but as we know, the nodes are powered only by non-replaceable batteries with limited energy. Sending, receiving and transporting information require the supply of energy. The essential problem of wireless sensor network (WSN) is to save energy consumption and prolong network lifetime. This paper presents a new communication protocol for WSN called Dynamical Threshold Control Algorithm with three-parameter Particle Swarm Optimization and Ant Colony Optimization based on residual energy (DPA). We first use the state of WSN to partition the region adaptively. Moreover, a three-parameter of particle swarm optimization (PSO) algorithm is proposed and a new fitness function is obtained. The optimal path among the CHs and Base Station (BS) is obtained by the ant colony optimization (ACO) algorithm based on residual energy. Dynamical threshold control algorithm (DTCA) is introduced when we re-select the CHs. Compared to the results obtained by using APSO, ANT and I-LEACH protocols, our DPA protocol tremendously prolongs the lifecycle of network. We observe 48.3%, 43.0%, and 24.9% more percentages of rounds respectively performed by DPA over APSO, ANT and I-LEACH.

사영에 의한 확률효과모형의 분석 (The analysis of random effects model by projections)

  • 최재성
    • Journal of the Korean Data and Information Science Society
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    • 제26권1호
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    • pp.31-39
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    • 2015
  • 본 논문은 확률효과모형에서 사영에 근거한 분산성분을 구하는 방법을 다루고 있다. 분산성분을 추정하기 위한 ANOVA방법에서 제곱합의 계산에 사영을 이용하는 방법을 제시하고 있다. 분산성분을 구하기 위한 사영의 이용은 모형행렬에 의한 사영공간을 분산성분별 제곱합을 얻기 위한 상호직교하는 부분공간들로 분할하게 된다. 부분공간들로 분할하기 위해 모형행렬 X로의 사영에 단계별 방법(stepwise procedure)을 적용하여 해당하는 공간으로의 사영행렬을 구하는 방법을 다루고 있다. 단계별 방법에 의해 주어지는 부분공간들의 직교성으로 인해 사영행렬의 곱은 영행렬로 주어지는 성질을 갖는다. 단계별 방법에 의한 순차적 사영은 해당하는 공간으로의 사영행렬에 대한 확인과 사영행렬의 구조를 파악할 수 있는 이점이 있다. 또한 분산성분의 추정을 위한 제1종 제곱합을 구하기 위한 방법으로 유용하다.

한국산 고추와 참깨에 발생하는 Alternaria의 종류와 이들의 진균독소 생성능력 (Incidence of Altermaria Species in Red Pepper and Sesame from Korea and Their Ability to Produce Mycotoxins)

  • 이향범;유승헌
    • 한국식물병리학회지
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    • 제11권1호
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    • pp.1-8
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    • 1995
  • Alternaria alternata and A. solani were identified from 130 Alternaria isolates obtained from red pepper fruits, and three species including A. alternata, A. sesami and A. sesamicola were detected from 150 isolates from sesame seeds. Among the 4 Alternaria species, A. alternata was the predominant fungus from both plants, having incidence of 95.4% in red pepper and 56.0% in sesame. Of the total 280 isolates, cultures on autoclaved rice of 75 isolates were tested for toxicity to 21-day-old virgin female rats. Out of 50 isolates of A. alternata, 17 were lethal to rats, inducing congestion and hemorrhage of stomach and intestine and kidney enlargement, and 8 caused lack of weight gain or weight loss. The other 25 isolates of A. alternat and all the isolates of A. sesami, A. sesamicola and A. solani, showed no significant indication of toxicity. Production of mycotoxins in the rice cultures of the above 75 isolates belonging to 4 species was analyzed. Alternaria cultures were extracted with methanol and purified by using solvent partition, thin-layer chromatography, and high performance liquid chromatography. Of the four species tested, all produced alternariol (AOH) and alternariol monomethyl ether (AME), three (A. alternata, A. sesami and A. sesamicola) produced alternuene (ALT) and altertoxin-I (ATX-I), and only A. alternata produced tenuazonic acid (TA). TA was produced by all of the highly toxic (lethal to rats) isolates of A. alternata, but not by any nontoxic isolates.

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참기름의 진위 판정에 관하여 - (I) 참기름중의 대두유, 아마인유 및 들깨기름의 검출 (Detection of Adulteration of Sesame Oil(I) Chromatographic Determination for Soybean Oil, Linseed Oil and Perilla Oil in Sesame Oil)

  • 천석조;임영희;송인상;노정배
    • 한국식품위생안전성학회지
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    • 제3권2호
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    • pp.59-63
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    • 1988
  • 순수 참기름을 판정하기 위한 기초자료를 얻고자 산지별에 따른 5종류의 참기름과 아마인유, 들깨기름 및 대두유를 시료로 하여 TLC에 의하여 triglyceride를 분획하고 HOLC에 의하여 PN별로 분획하였다. 이상의 결과를 요약하면 다음과 같다. 1. 산지별에 따른 5종류의 참기름의 PN별 획분은 42, 44, ,46, 48 및 50으로 그 조성이 동일하여 진위 판정의 자료로 이용가능하였다. 2. 아마인유 및 들깨기름은 PN 36, 38, 40, 42, 44, 46 및 48로서 PN 36, 38 및 40획분이 주요 획분으로 특징적이었다. 3. 대두유의 Pn별 획분은 PN36~50으로 8획분이었으며 참기름의 PN별 조성과 비교하여 PN38 및 40 획분이 특징적인 peak로 감지되었다. 4. 참기름과 4% 혼합한 경우 PN별 조성으로부터 순수 참기름의 판정이 가능하였다.

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독립교과로서 환경교육의 정체성 확립을 위한 제언 (What we need to do to establish the individuality of environmental education as a regular stand-alone subject in school?)

  • 정민걸
    • 한국환경교육학회:학술대회논문집
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    • 한국환경교육학회 2004년도 전반기 정기 학술발표대회
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    • pp.48-55
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    • 2004
  • In Korea almost all subjects in school teach environmental education. In such situation it is difficult that the environmental subject as a regular stand-alone subject for environmental education establishes its own individuality. In many cases it and the other subjects teach identical contents with the nearly same methods. Such redundancy could make students lose their interest in the topics that were already taught by other subject. And the environmental subject and the other subjects might compete with one another rather than cooperate. To avoid such negative effects we need to partition their roles. For example, the other subjects focus on teaching their own knowledge and skills related to environmental problems. And the environmental subject focuses on encouraging students to possess environmental attitude and to participate in environmental activities. Above all, the environmental subject needs to teach the social nature of environmental problems and the social process through which we make a decision on the problems. It should let students experience highly integrated process of environmental decision. In order to establish the individuality of the environmental subject I discussed its goals and contents. I hope that the related persons in all the subjects start to deeply discuss the partitioning of roles, with open mind, in order to effectively achieve the goal of environmental education in school.

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여러가지 방법(方法)에 의(依)한 Premelanoidin의 분획(分劃)과 그 분획물(分劃物)의 발효활성(醱酵活性)에 관(關)한 관찰(觀察) -II. 분배(分配)크로마토고라피에 의(依)한 분획(分劃)- (Fractionnement des produits de $r{\acute{e}}action$ de Maillard par $diff{\acute{e}}rentes$ techniques et observation $d'activit{\acute{e}}$ fermentaire do ces fractions -II. Fractionnement par chromatographie de partage-)

  • 이양희;레온 뻐띠;엘리안 휫뜨
    • Applied Biological Chemistry
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    • 제11권
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    • pp.101-104
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    • 1969
  • Partition chromatography의 방법(方法)으로는 우선 cellulose powder colume을 시도해 보았으나 이는 얻어진 fraction의 용매제거의 난점(難點)이 있으므로 결국(結局) paper chromatography 방법(方法)만을 사용(使用)하였다. 연구결과(硏究結果)로는 우선 갈색색소의 fraction에 있어서 발효초기(醱酵初期)에 약간의 활성(活性)을 관찰(觀察)할수 있었으며 glycine이 함유된 fraction 에서는 발효초기에 벌써 상당한 활성을 보였으며 이는 또한 발효의 진행(進行)에 따라 점차 증가되었다. 그리고 N-glycoside의 fraction에서는 발효초기에 미약(微弱)한 활성(活性)을 관찰할 수 있었다. 그러나 paper chromatography의 방법(方法)은 본실험(本實驗)에 적합하지 않다고 생각되며 그 이유(理由)는 일회(一回)에 fractionation 할수있는 시료(試料)의 양(量)이 극(極)히 제한되어 있다는 점(點)과 또 fractionation 도중에 타물질(他物質)의 오염으로 인(因)해서 시료(試料)의 정확(正確)한 발효 활성(活性)을 측정(測定)할수 없다는 것이다.

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CONDITIONAL INTEGRAL TRANSFORMS OF FUNCTIONALS ON A FUNCTION SPACE OF TWO VARIABLES

  • Bong Jin, Kim
    • Korean Journal of Mathematics
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    • 제30권4호
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    • pp.593-601
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    • 2022
  • Let C(Q) denote Yeh-Wiener space, the space of all real-valued continuous functions x(s, t) on Q ≡ [0, S] × [0, T] with x(s, 0) = x(0, t) = 0 for every (s, t) ∈ Q. For each partition τ = τm,n = {(si, tj)|i = 1, . . . , m, j = 1, . . . , n} of Q with 0 = s0 < s1 < . . . < sm = S and 0 = t0 < t1 < . . . < tn = T, define a random vector Xτ : C(Q) → ℝmn by Xτ (x) = (x(s1, t1), . . . , x(sm, tn)). In this paper we study the conditional integral transform and the conditional convolution product for a class of cylinder type functionals defined on K(Q) with a given conditioning function Xτ above, where K(Q)is the space of all complex valued continuous functions of two variables on Q which satify x(s, 0) = x(0, t) = 0 for every (s, t) ∈ Q. In particular we derive a useful equation which allows to calculate the conditional integral transform of the conditional convolution product without ever actually calculating convolution product or conditional convolution product.

Dynamic Configuration and Operation of District Metered Areas in Water Distribution Networks

  • Bui, Xuan-Khoa;Kang, Doosun
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2021년도 학술발표회
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    • pp.147-147
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    • 2021
  • A partition of water distribution network (WDN) into district metered areas (DMAs) brings the efficiency and efficacy for water network operation and management (O&M), especially in monitoring pressure and leakage. Traditionally, the DMA configurations (i.e., number, shape, and size of DMAs) are permanent and cannot be changed occasionally. This leads to changes in water quality and reduced network redundancy lowering network resilience against abnormal conditions such as water demand variability and mechanical failures. This study proposes a framework to automatically divide a WDN into dynamic DMA configurations, in which the DMA layouts can self-adapt in response to abnormal scenarios. To that aim, a complex graph theory is adopted to sectorize a WDN into multiscale DMA layouts. Then, different failure-based scenarios are investigated on the existing DMA layouts. Here, an optimization-based model is proposed to convert existing DMA layouts into dynamic layouts by considering existing valves and possibly placing new valves. The objective is to minimize the alteration of flow paths (i.e., flow direction and velocity in the pipes) while preserving the hydraulic performance of the network. The proposed method is tested on a real complex WDN for demonstration and validation of the approach.

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지적측량에 라이다 측량기술의 활용방안 (Applications of LiDAR in Cadastral Surveying)

  • 강준묵;민관식;위광재;김재명
    • 한국측량학회:학술대회논문집
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    • 한국측량학회 2007년도 춘계학술발표회 논문집
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    • pp.443-446
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    • 2007
  • The major purpose of the present study is to gauge the general applicability of cadastral surveying and LiDAR surveying. LiDAR survey is the method which obtains Geospatial information of the terrain. We will get a most topographic models at Digital Elevation Model(DEM) using LiDAR survey data. Also, we will consider both the surface parcel partition and volume parcel as a part of Geospatial relationship model. This study will focus on enhancing the efficiency and analysis of continual cadastral map and LiDAR DEM. I would like to close by proposing that LiDAR surveying will contribute in cadastral surveying.

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