• 제목/요약/키워드: i.i.d.

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마이크로 믹서에서 와도 지수와 혼합 지수의 관계;비용해성 물질 (The Relation between Vortex Index and Mixing Index in Micromixer;Insoluble Solution;Insoluble Solution)

  • 맹주성;김범중;조일대
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.1841-1844
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    • 2004
  • 'Mixing Index($D_I$)'s generally used to measure the degree of mixing. A new method to calculate $D_I$ was proposed, when insoluble solution flows in micromixer. 'Vortex Index (${\Omega}_I$)'which indicate the degree of chaotic advection, is defined and formulated. A lots of arbitrary shaped microchannels were tested to calculate the $D_I$ and ${\Omega}_I$. And then a simple algebraic equation, $D_I=A{\Omega}_I+B$, was obtained. This equation may be used instead of partial differential equation, concentration equation.

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DEVS 기반의 연속 교통류 시뮬레이션 시스템 검증 ($I^3D^2$ 교통류 시뮬레이션 시스템을 중심으로) (Validating DEVS based Traffic Simulation Model for Freeways)

  • 윤동영;김원규;송병흠;지승도
    • 한국시뮬레이션학회:학술대회논문집
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    • 한국시뮬레이션학회 2002년도 추계학술대회 논문집
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    • pp.125-130
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    • 2002
  • 본 연구는 DEVS를 기반으로 개발된 교통류 시뮬레이션 시스템인 $\ulcorner$I$^3$D$^2$ 교통류 시뮬레이션 시스템$\lrcorner$(이하 I$^3$D$^2$)의 검증을 그 목적으로 한다. I$^3$D$^2$는 본 연구진이 DEVS를 기반으로 개발한 범용 시뮬레이션 도구로써, 이미 서울시 강남 신호교차로와 내부순환로를 대상으로 하여 개발된 내용을 발표한 바 있다. I$^3$D$^2$는 헌재 단속류에서의 최적신호 생성 및 대기행렬 예측 문제, 그리고 연속류 시설의 용량 산정 문제등을 시뮬레이션 할 수 있다. 하지만 아직 문헌자료나 현장 데이터를 토대로 한 충분한 검증이 수행되지 못한 문제가 있다. 따라서 본 연구에서는 문헌자료를 토대로, I$^3$D$^2$를 검증한다. 이를 위하여 고속도로 또는 도시고속도로와 같은 연속 교통류의 대표적인 효과척도인 $\ulcorner$교통량 - 밀도 - 평균주행속도 (시간)$\lrcorner$ 간의 상관관계를 이용하여 미국 HCM과 우리나라의 도로용량편람에 정의되어 있는 기준을 토대로 I$^3$D$^2$ 검증을 수행하였다. 모델링은 서울시 올림픽대로의 양화대교 - 성산대교 - 가양대교 구간을 대상으로 했으며, 검증은 교통량에 따라 크게 3가지 교통류 상태(random, intermediate, constant)를 기준으로 시뮬레이션이 각각의 교통상태에서 예측한 평균주행시간의 정확도를 측정하면서 수행하였다. 검증 결과 random 상태에서는 문헌자료에 부합되는 예측결과를 보여주었으나, intermediate와 constant 상태에서는 문헌보다 다소 낮은 속도를 보여주었다 이러한 속도차는 추후 현장 데이터를 수집하여 보다 실질적인 검증을 통하여 조정되어야 할 것으로 판단된다.

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Box-Cox 변환에 의한 I-D-F 곡선의 평활화 (The Smoothing of Rainfall Intensity - Duration - frequency Relationships curve by the Box-Cox Transformation)

  • 이희창;성기원
    • 한국수자원학회논문집
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    • 제36권2호
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    • pp.153-159
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    • 2003
  • I-D-F곡선을 유도할 때 강우자료의 보유연한이 충분하지 않을 경우 지속시간별 강우강도의 변화가 매끄럽게 연결되지 못하는 경우가 발생하기도 한다. 특히 곡선에서, 상대적인 장시간에 강우강도가 크게 되는 문제는 실무적으로 I-D-F 곡선을 이용하는데 큰 혼란을 야기 시킨다. 본 연구에서는 강우자료를 Box-Cox변환을 이용하여 지속시간과 강우강도의 상관관계를 통해 이러한 문제를 해결하는 방법을 제시한다. 산청과 영천의 강우자료에 대한 분석결과 Box-Cox 변환의 실효성을 확인할 수 있었다.

Almost sure convergence for weighted sums of I.I.D. random variables (II)

  • Sung, Soo-Hak
    • 대한수학회보
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    • 제33권3호
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    • pp.419-425
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    • 1996
  • Let ${X, X_n, n \geq 1}$ be a sequence of independent and identically distributed(i.i.d) random variables with EX = 0 and $E$\mid$X$\mid$^p < \infty$ for some $p \geq 1$. Let ${a_{ni}, 1 \leq i \leq n, n \geq 1}$ be a triangular arrary of constants. The almost sure(a.s) convergence of weighted sums $\sum_{i=1}^{n} a_{ni}X_i$ can be founded in Choi and Sung[1], Chow[2], Chow and Lai[3], Li et al. [4], Stout[6], Sung[8], Teicher[9], and Thrum[10].

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Metagonimus yokogawai 세르카리아의 감각유두에 관한 연구 (Study on Sensory Papillae of Metagonimus yokogawai Cercaria)

  • 김재진;민득영소진탁
    • Parasites, Hosts and Diseases
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    • 제22권1호
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    • pp.11-20
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    • 1984
  • A number of studies on the papillae of cercariae of trematodes reported that the papillar patterns (or chaetotaxy) of cercariae might be an excellent method to attain better understanding of the digenetic trematodes (Richard, 1971 ; Short and Cartrett, 1973; Bayssade-Dufour, 1979) . The present study was aimed to determine the number, distribution pattern and structure of the sensory papillae of Metagonimus yokogawai cercariae, and to elucidate the chaetotaxy of this digenetic trematode. M. yokogawai cercariae were pipetted from a vial in which infected snails (Semisulcospira libertina) had been kept for 3 hours. The snails were collected from an endemic area of M. yokogawai, Boseong river in west-southern part of Korea. Observations of papillae were based on light microscopy of those stained with silver nitrate, and on scanning electron microscopy The results are summarized as follows: 1, All papillae observed were uniciliated. 2. Cilia in anterior tip were shorter than the others in other portions. 3. The body papillae were arranged in essentially symmetrical patterns, Total number of the papillae was 126(63 pairs) in average; anterior tip 40(20 pairs), ventral 20(10 pairs), lateral 42(21 pairs), and caudal 8(4 pairs). 4. The chaetotany of M. yokogawai cercaria was: Ci cycle ($3+3C_{I}V,{\;}2+2C_{I}L,{\;}2+3C_{I}D),{\;}C_{II}{\;}cycle(2C_{II}V,{\;}1C_{II}L,{\;}2C_{II}D),{\;}C_{lll}{\;}cycle{\;}(1+lC_{III}V,{\;}1C_{IlI}L),{\;}C_{IV}{\;}cycle{\;}(1C_{IV}V,{\;}IC_{lV}L){\;}in{\;}cephalic{\;}region:{\;}A_I(1A_{IV}V,{\;}1+2A_{I}L,{\;}1A_{I}D),{\;}A_{II}(1A_{II}V,{\;}1+3A_{II}L,{\;}1A_{II}D),{\;}A_{III}(1A_{III}V,{\;}1+1A_{III}L,{\;}1A_{III}D){\;}and{\;}A_{IV}(1A_{IV}V,{\;}2A_{IV}L)$ in antacetabular region: $1M_{I}V{\;}and{\;}2M_{I}L$ in median: $1+1P_{I}L,{\;}1P_{II}L,{\;}1P_{II}D,{\;}1P_{III}L,{\;}1P_{IV}L{\;}and{\;}1P_{IV}D$ in postacetabular region: 2-2-2-2 in caudal region.

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THE EXPONENTIAL GROWTH AND DECAY PROPERTIES FOR SOLUTIONS TO ELLIPTIC EQUATIONS IN UNBOUNDED CYLINDERS

  • Wang, Lidan;Wang, Lihe;Zhou, Chunqin
    • 대한수학회지
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    • 제57권6호
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    • pp.1573-1590
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    • 2020
  • In this paper, we classify all solutions bounded from below to uniformly elliptic equations of second order in the form of Lu(x) = aij(x)Diju(x) + bi(x)Diu(x) + c(x)u(x) = f(x) or Lu(x) = Di(aij(x)Dju(x)) + bi(x)Diu(x) + c(x)u(x) = f(x) in unbounded cylinders. After establishing that the Aleksandrov maximum principle and boundary Harnack inequality hold for bounded solutions, we show that all solutions bounded from below are linear combinations of solutions, which are sums of two special solutions that exponential growth at one end and exponential decay at the another end, and a bounded solution that corresponds to the inhomogeneous term f of the equation.

SOME INEQUALITIES FOR THE HARMONIC TOPOLOGICAL INDEX

  • MILOVANOVIC, E.I.;MATEJIC, M.M.;MILOVANOVIC, I.Z.
    • Journal of applied mathematics & informatics
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    • 제36권3_4호
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    • pp.307-315
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    • 2018
  • Let G be a simple connected graph with n vertices and m edges, with a sequence of vertex degrees $d_1{\geq}d_2{\geq}{\cdots}{\geq}d_n$ > 0. A vertex-degree topological index, referred to as harmonic index, is defined as $H={\sum{_{i{\sim}j}}{\frac{2}{d_i+d_j}}$, where i ~ j denotes the adjacency of vertices i and j. Lower and upper bounds of the index H are obtained.

내장산국립공원 굴거리나무군락의 군집특성 및 분포 변화 연구 (The Study of Distribution Changing and Community Characteristics of Daphniphyllum macropodum (National Monument No. 91) in Naejangsan National Park)

  • 신진호;전용삼;손지원
    • 한국환경복원기술학회지
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    • 제19권3호
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    • pp.45-57
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    • 2016
  • This study was focused on the northernmost limit of the distribution changing of Daphniphyllum macropodum and studied characteristic of plant communities of natural monument No. 91 in Najangsan national park, Korea. The results of this study were as follows : 1. The highest importance percentage(I.P.) value at tree layer in Quercus. mongolica community was Q. mongolica, 37.8%. But the highest value of mean importance percentage(M.I.P.) was D. macropodum, 32.8%. 2. The highest I.P. value at tree layer in Carpinus laxiflora community was C. laxiflora, 47.4%. The highest M.I.P. value was C. laxiflora, 28.8% and M.I.P. value of D. macropodum was 24.0%. 3. The highest I.P. value at tree layer in D. macropodum community was D. macropodum, 55.6%. C. laxiflora and Q. mogolica I.P. value was 14.8% and 6.8%, respectively. The highest M.I.P. value was D. macropodum, 47.9%. Sapium japonicum and C. laxiflora M.I.P. value was 11.4% and 10.7%, respectively. 4. The highest I.P. value at tree layer in Quercus variabilis community was C. laxiflora, 20.8%. Q. variabilis and Acer pseudosieboldianum I.P. value was 15.3% and 12.5%, respectively. The highest M.I.P. value was D. macropodum, 21.5%. It needs to the continuous monitoring of vegetation and importance percentage change in tree layer and subtree layer of D. macropodum. The researching results of D. macropodum distribution, the distribution range of D. macropodum showed expanded more than range of Lim and Oh' result(1999). In other words, it was distributed low density level between Najangsa temple and Byeokryeonam, and distributed in upper Keumsun waterfall and Wonjeok upper valley. D. macropodum was appeared on hiking trails around from Wonjeokam to Bulchulbong. Especially, it was found in this study that D. macropodum was distributed on Seoraebong's north which placed outside area of Naejangsa region. In this study, it was considered that distribution range of D. macropodum was expanded. Also, it is expected to be used as a result of the field study of changing distribution study of broad leaved evergreen forest due to global warming.

Annexin I의 구조와 결합에 관한 분광학적 연구

  • 이봉진;방근수;이연희;이태우;나도선
    • 한국응용약물학회:학술대회논문집
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    • 한국응용약물학회 1994년도 춘계학술대회 and 제3회 신약개발 연구발표회
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    • pp.263-263
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    • 1994
  • Annexin I is a member of the in family of calcium dependent phospholipid banding proteins and is an in vitro phospholipase $A_2$ (PLA$_2$) inhibitor. The mechanism of PLA$_2$ inhibition by annexin I is still ambiguous. The structure of annexin I was studied at the atomic level by using nuclear magnetic resonance (NMR), circular dichrotsm (CD) and fluorescence spectroscopy. Recombinant human annexin I and N-terminally truncated annexin I (1-31 deleted: d-annexin I) were purified and their NMR spectra were compared. The NMR spectra of the two were similar. When $Ca^{2+}$ ion added to annexin I ad d-annexin I, peak broadening occurred, but no significant spectroscopic change was observed. When porcine pancreatic PLA$_2$ was added to deuterium labeled annexin I, an interaction of annexin I with PLA$_2$ was observed as indicated by the disappearance and shift of several peaks in the NMR spectrum. This result supports a protein-protein interaction mechanism for PLA$_2$ inhibition by annexin I.I.

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홍정하(洪正夏)의 수론(數論) (Hong Jung Ha's Number Theory)

  • 홍성사;홍영희;김창일
    • 한국수학사학회지
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    • 제24권4호
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    • pp.1-6
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    • 2011
  • 조선의 가장 위대한 산학자 홍정하(洪正夏)의 저서 $\ll$구일집(九一集)$\gg$(1724)에 들어있는 최소공배수를 구하는 법을 조사하여 홍정하의 수론에 대한 업적을 밝혀낸다. 홍정하는 두 자연수 a, b의 최대공약수 d와 최소공배수 l 에 대하여 l = $a\frac{b}{d}$=$b\frac{a}{d}$, $\frac{a}{d}$, $\frac{b}{d}$는 서로 소인 것을 인지하여, 자연수 $a_1,\;a_2,{\ldots},a_n$의 최대공약수 D에 대하여, $\frac{a_i}{D}$($1{\leq}i{\leq}n$)도 서로 소이고, 이들의 최소공배수 L도 서로 소인 $c_i(1{\leq}i{\leq}n)$가 존재하여 L = $a_ic_i(1{\leq}i{\leq}n)$임을 보였다. 이 결과는 조선에서 얻어낸 수론에 관한 수학적 업적 중에 가장 뛰어난 것 중의 하나이다. 홍정하가 수학적 구조를 밝혀내는 과정을 드러내는 것이 이 논문의 목적이다.