• 제목/요약/키워드: ${\sigma}-complete$

검색결과 44건 처리시간 0.021초

PRECISE ASYMPTOTICS IN LOGLOG LAW FOR ρ-MIXING RANDOM VARIABLES

  • Ryu, Dae-Hee
    • 호남수학학술지
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    • 제32권3호
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    • pp.525-536
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    • 2010
  • Let $X_1,X_2,\cdots$ be identically distributed $\rho$-mixing random variables with mean zeros and positive finite variances. In this paper, we prove $$\array{\lim\\{\in}\downarrow0}{\in}^2 \sum\limits_{n=3}^\infty\frac{1}{nlogn}P({\mid}S_n\mid\geq\in\sqrt{nloglogn}=1$$, $$\array{\lim\\{\in}\downarrow0}{\in}^2 \sum\limits_{n=3}^\infty\frac{1}{nlogn}P(M_n\geq\in\sqrt{nloglogn}=2 \sum\limits_{k=0}^\infty\frac{(-1)^k}{(2k+1)^2}$$ where $S_n=X_1+\cdots+X_n,\;M_n=max_{1{\leq}k{\leq}n}{\mid}S_k{\mid}$ and $\sigma^2=EX_1^2+ 2\sum\limits{^{\infty}_{i=2}}E(X_1,X_i)=1$.

ON THE STRONG LAWS OF LARGE NUMBERS OF NEGATIVELY ASSOCIATED RANDOM VARIABLES

  • Baek, J.I.;Choi, J.Y.;Ryu, D.H.
    • Journal of applied mathematics & informatics
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    • 제15권1_2호
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    • pp.457-466
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    • 2004
  • Let{$X_{ni}$\mid$\;1\;{\leq}\;i\;{\leq}\;k_n,\;n\;{\geq}\;1$} be an array of rowwise negatively associated random variables such that $P$\mid$X_{ni}$\mid$\;>\;x)\;=\;O(1)P($\mid$X$\mid$\;>\;x)$ for all $x\;{\geq}\;0,\;and\; \{k_n\}\;and\;\{r_n\}$ be two sequences such that $r_n\;{\geq}\;b_1n^r,\;k_n\;{\leq}\;b_2n^k$ for some $b_1,\;b_2,\;r,\;k\;>\;0$. Then it is shown that $\frac{1}{r_n}\;max_1$\mid${\Sigma_{i=1}}^j\;X_{ni}$\mid$\;{\rightarrow}\;0$ completely convergence and the strong convergence for weighted sums of N A arrays is also considered.

METRIZATION OF THE FUNCTION SPACE M

  • Lee, Joung-Nam;Yang, Young-Kyun
    • Journal of applied mathematics & informatics
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    • 제11권1_2호
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    • pp.391-399
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    • 2003
  • Let (X,S,$\mu$) be a measure space and M be the vector space of all real valued S-measurable functions defined on (X,S,$\mu$). For $E\;{\in}\;S$ with $\mu(E)\;<\;{\infty}$, $d_E$ is a pseudometric on M. With the notion of D = {$d_E$\mid$E\;{\in}\;S,\mu(E)\;<\;{\infty}$}, in this paper we investigate some topological structure T of M. Indeed, we shall show that it is possible to define a complete invariant metric on M which is compatible with the topology T on M.

Novel Interface-engineered Junction Technology for Digital Circuit Applications

  • Yoshida, J.;Katsuno, H.;Inoue, S.;Nagano, T.
    • Progress in Superconductivity
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    • 제3권1호
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    • pp.1-4
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    • 2001
  • Interface-engineered junctions with $YbBa_2$$Cu_3$$O_{7}$ as the counter electrode were demonstrated. The junctions exhibited excellent Josephson characteristics with a Josephson critical current ($I_{c}$) ranging from 0.1 mA to 8 mA and a magnetic field modulation of the $I_{c}$ exceeding 80% at 4.2 K while maintaining complete c-axis orientation of the counter-electrode layer. The$ 1\sigma$ spreads in $I_{c}$ for junctions with an average $I_{c}$ of 1-2 mA were 5-8% for 16 junctions within a chip, and 9.3% for a 100-junction array. Our dI/dV measurements suggest that a theoretical approach taking into account both a highly transparent barrier and the proximity effect is required to fully understand the Junction characteristics.ristics.

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양어장 수질관리를 위한 삼상유동층 반응기의 혼합 및 산소전달특성 (Mixing and Oxygen Transfer Characteristics of Three Phase Fluidized Bed for Water Quality Management of Aquaculture)

  • 이병헌;김정숙;강임석
    • 한국양식학회지
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    • 제7권4호
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    • pp.239-249
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    • 1994
  • 본 연구는 수질관리를 위한 양식장 순환수 처리를 위하여 유동층공법을 이용할 시, 수리학적 모델인자를 결정하기 위하여 반응기의 혼합특성과 산소전달 특성을 파악하는 연구이다. 삼상유동층 반응기의 dye test에서 얻은 결과 분산$(\sigma^2)$, 분산수 $(D/{\mu}L)$를 살펴보면 분산은 0.47이상이고 분산수는$0.35\~\infty$로 높은분산상태를 나타내는 이상적인 완전혼합반응기로 판단된다. 총괄산소전달계수 값을 측정한 결과 공기주입율이 클수록, 메디아농도가 작을수록, 메디아 입경크기가 작을수록 큰 값을 나타내었다. 총괄산소전달계수$(K_{La})$가 반응조 직경과 draft tube 직경비, 공기주입율, 메디아 농도, 메디아 입경크기에 따른 의존성을 파악하면 아래와 같이 표현된다. $$K_{La}\;=\;44.9(D_i/D_c)^{-0.4611}\;A_f^{0.8622}\;C_m^{-0.0746}\;d_p^{-0.4302}$$

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쑥 첨가가 빵과 떡의 저장성 향상에 미치는 영향 (Effect of Mugwort on the Extention of Shelf-Life of Bread and Rice Cake)

  • 김순임;김경진;정해옥;한영실
    • 한국식품조리과학회지
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    • 제14권1호
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    • pp.106-113
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    • 1998
  • The purpose of this study is to investigate the antimicrobial effect of mugwort (Artemisia asiatica Nakai) on the rice cake and bread preservation, and to identify their antimicrobial compounds. The mugwort extracts showed complete inhibition on the growth of Bacillus subtilis and Staphylococcus aureus at 250 $\mu\textrm{g}$/ml level. Antimicrobial activi쇼 of mugwort extract were stronger than that of commercial antimicrobial agent. Five % of sodium propionate solution showed complete inhibition on the growth of B. subtilis, E. coli and S. aureus, but L. plantarum was inhibited 50.87% at the same concentration. When various amounts of freeze-dried mugwort powder were added in sulgis (steamed rice cake), 3% ssooksulgi (mugwort powder added sulgi) had quite lower level of total bacterial count (5.5$\times$$10^/5 CFU/g) compared with the control group (1.4$\times$$10^/7 CFU/g) at ambient temp. (30$\pm$1$^{\circ}C$) after 72 hr. Three % addition of mugwort showed 2 days extention of shelf-life of rice cake. The sensory qualities of ssooksulgi has no significant difference in moistness, consistency, cohesiveness, afterswallowing and overall quality compared with control group. Ssooksulgi with 3% of mugwort powder had the best overall quality in sensory test. The methanol extract of 500 $\mu\textrm{g}$/ml of mugwort could lead the successful retardation of the growth of putrefactive microorganism during the incubation of rice cake at 37$^{\circ}C$ for 24 hr. On the other hand, coumarin (Sigma) had 54% inhibitory effect at 500 $\mu\textrm{g}$/ml level, and (E,E)-2,4-decadienal completely inhibited the growth of putrefactive microorganism of whitesulgi at 100 $\mu\textrm{g}$/ml level during the incubation at 37$^{\circ}C$ for 48 hr.48 hr.

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취장 및 간장에 미치는 식이성(食餌性) Ethionine 과 Methionine 의 독성에 관한 연구 (Studies on the Toxicity of Dietary Ethionine and Methionine to Pancreas and Liver)

  • 김재전
    • 대한약리학회지
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    • 제7권1호
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    • pp.37-52
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    • 1971
  • It has been demonstrated repeatedly that the administration of ethionine, a methionine analogue, will produce destruction of pancreatic tissue and liver cells. Destruction of acinar cells of pancreas by the administration of excess methionine similar to that seen after feeding diets supplemented with ethionine was also reported, but the liver was not involved by this amino acid. In an attempt to reproduce the results of these investigators the tissue damages were found to be slight and seen only irregulary in rats receiving ethionine on a complete diet and the result of tissue damages by excess methionine were also controversial. The present studies describe the toxicity of dietary supplemented ethionine and methionine to liver and pancreas in rats fed a low protein diet. Hundred five albino rats weighing around 120 gm were divided into three groups as follows; 1) Control group: A low protein diet containing 8% casein was fed throughout the experimental period. 2) Methionine group: A low protein diet (7% casein) supplemented with 1% methionine was used. 3) Ethionine group: A similar diet as methionine group except the supplementation of 1% ethionine instead of methionine was used. Five animals per wee from each group were killed for 6 weeks. The liver and pancreas were fixed in 10% formalin and histologic sections were prepared and stained with hematoxylin eosin. Serum amylase was expressed as much of glucose liberated from a starch substrate. The glucose was determined by the method of Nelson (1944). Serum glutamic pyruvic transaminase (SGPT) and glutamic oxaloacetic transaminase (SGOT) were determined by the technique described in Sigma Bulletin.

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개방성 승모판막 절개술에 관한 연구 (Open Mitral Commissurotomy: A Report of 21 Cases)

  • 이영균
    • Journal of Chest Surgery
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    • 제6권1호
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    • pp.69-88
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    • 1973
  • Twenty-one cases of open mitral commissurotomy were done between October 1963 and March 1973. 1] Preoperative embolism consists of 7 cerebral and 2 peripheral cases. Two operative cerebral embolism cases were noted. 2] There were two cases of restenosis, one associated valvular disease, three mitral insufficiency cases, and six cases of pulmonary hypertension. 3] Out of 21 cases, 13 cases of atrial fibrillation were found and two cases of atrial fibrillation were found postoperatively among 8 cases of preoperatively normal sinus rhythm. 4] During operation 10 cases of valvular calcification and 6 cases of left atrial thrombus were noted. 5] Complete blood count, electrolyte and acid base balance showed normal range of data. 6] Four helix reservoir whole blood total body perfusion and 17 cases of .hemodilution perfusion utilizing Rygg-Kyvsgaard bag oxygenator with sigma motor were performed. 7] EACA 125 mg/kg intravenous administration before cardiopulmonary bypass resulted in markedly diminished postoperative bleeding. 8] Post-perfusion urine amount was in satisfactory range. 9] There were 2 operative mortality due to coronary embolism and three cases of hospital death, 2 due to severe hepatic failure and one due to cerebral embolism. 10] Sixteen survival cases showed marked clinical improvements and almost all of them returned to their occupation satisfactorily after operation.

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誘導結合플라스마 質量分析法에 의한 石炭의 元素 分析 (Elemental Analysis of Coal by Inductively Coupled Plasma Mass Spectrometry)

  • 이용근;고인형;이동수
    • 한국대기환경학회지
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    • 제8권3호
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    • pp.155-161
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    • 1992
  • A simple, fast yet sensitive method is described for the determination of fifty elements in coal by inductively coupled plasma mass spectrometry. The method involves complete dissolution of coal with mixed acid $(HNO_3, HF, HClO_4)$ in hish pressure Teflon bomb and subsequent inductively coupled plasma mass spectrometric(ICP-MS) measurement. The accuracy of the method, being evaluated by the analysis of NIST SRMs (1632a, 1632b) is better than 20% RSD for most elements. The limits of detection defined by two times $\sigma$ (standard deviation of operational blank) are in order of sub-ppm to ppm, which are low enough to quantitate most elements. However, the determiantions for few elements such as V, As, Se are severely interfered by molecular ions such that their accurate determiantions are not possible. Analytical results for twentyon coals from eight countries including six ones world major coal producing, Korea, Japan, China, I.C.S., U.S.A., Canada, Australia, and South Africa are presented. While the results for major elements agree well with the existing ones, those for a few trace elements disagree considerably. The existing values are considerably higher. It is not possible to judge which are more accurate. However, the exisisting values are more likely to be errorous inasmuch as they are obtained without using high purity reagents and clean laboratory techniques.

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급격한 저니토 교란이 인공 하구호 수질에 미치는 영향 (Impacts on Water Quality to an Artificial Lake Due to Sudden Disturbance of Sediments)

  • 서승원;김정훈
    • 한국해안해양공학회지
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    • 제15권1호
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    • pp.39-50
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    • 2003
  • 시화호 북측확장단지 조성을 위하여 반월천과 동화천이 유입되는 상류에서 호안 축조 공사가 진행되는 경우 침적된 오열도가 실한 이 지역에서 저니토가 급격하게 교란될 때 시화호 수질에 미치는 영향을 평가하기 위하여 본 연구를 수행하였다. 3차원 수동역학 모델인 TIDE3D를 수질모델인 CE-QUAL-ICM과 결합하고 4개의 $\sigma$층을 사용하여 수체와 저질사이의 상호작용과 층별 변화를 모의하였다. 1년 이상의 장기적인 수질모의결과, 교란된 지점 인근에서는 저층에만 수질의 악화철상이 나타나고 시화호의 형상 및 외부 하천 유입의 복합적인 특성 상 약 5km를 지나면서 저질 교란의 영향이 표층에 나타난다. 현재의 상황에서는 겨울과 봄에 상류 오염유입이 많아서 COD와 TP수질이 좋지 않으나 이에 비해 저질의 교란으로 야기되는 수질 변화는 여름과 가을에 크게 저하되는 것으로 나타나 현존 상태와 반전된 결과를 제시한다. 선행연구(서 등, 2002)에서 취하였던 격자망보다 배정밀도로 상세화 하여 150m${\times}$150m의 격자에서 수치실험 한 결과는 계산시간의 증대를 유발하지만, 격자의존도가 수치해에 미치는 영향이 있는 것으로 판단되며 특히 유동이 배수갑문 인근의 영역에서 신을 통과하는 유량의 차이를 줄여 만족스러운 결과를 제공한다.