• 제목/요약/키워드: Sigma S

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Some Nonlinear Alternatives in Banach Algebras with Applications II

  • Dhage, B.C.
    • Kyungpook Mathematical Journal
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    • 제45권2호
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    • pp.281-292
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    • 2005
  • In this paper a nonlinear alternative of Leray-Schauder type is proved in a Banach algebra involving three operators and it is further applied to a functional nonlinear integral equation of mixed type $$x(t)=k(t,x({\mu}(t)))+[f(t,x({\theta}(t)))]\(q(t)+{\int}_0{^{\sigma}^{(t)}}v(t,s)g(s,x({\eta}\(s)))ds\)$$ for proving the existence results in Banach algebras under generalized Lipschitz and $Carath{\acute{e}}odory$ conditions.

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An empirical clt for stationary martingale differences

  • Bae, Jong-Sig
    • 대한수학회지
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    • 제32권3호
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    • pp.427-446
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    • 1995
  • Let S be a set and B be a $\sigma$-field on S. We consider $(\Omega = S^Z, T = B^z, P)$ as the basic probability space. We denote by T the left shift on $\Omega$. We assume that P is invariant under T, i.e., $PT^{-1} = P$, and that T is ergodic. We denote by $X = \cdots, X_-1, X_0, X_1, \cdots$ the coordinate maps on $\Omega$. From our assumptions it follows that ${X_i}_{i \in Z}$ is a stationary and ergodic process.

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An improved bonferroni-type inequality

  • Lee, Min-Young
    • 대한수학회보
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    • 제32권2호
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    • pp.329-336
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    • 1995
  • Let $A_1, A_2, \ldots, A_n$ be a sequence of events on a given probability space and let $m_n$ be the number of those A's which occur. Put $S_{0,n} = 1$ and $$ S_{k,n} = \Sigma P(A_i_1 \cap A_i_2 \cap \cdots \cap A_i_k), (a \leq k)$$ where the summation is over all subscripts satisfying $1 \let i_1 < i_2 < \cdots < i_k \leq n$.

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그래프에 의한 stable law분포의 모수추정

  • 원형규
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 1992년도 춘계공동학술대회 발표논문 및 초록집; 울산대학교, 울산; 01월 02일 May 1992
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    • pp.171-179
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    • 1992
  • 본고에서는 그래프를 이용하여 stable law분포의 index, skewness, scale, location 모수들에 대한 추정방법을 제시한다. 먼저, order statistics의 함수인 tail length statistic $K_{t}$ , skewness statistic $K_{s}$ 를 이용하여 index .alpha., scale .betha.를 추정한다. 다음에는, 추정된 .alpha., .betha.를 index로 하여 개발된 그래프들로 부터 scale .sigma., location .mu.추정에 필요한 order statistics의 함수를 결정한다. 몇가지 예를 마지막에 예시한다.

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타이와 베트남에서 수집된 텍타이트의 화학조성과 지구화학적 의의 (A Distinctive Chemical Composition of the Tektites from Thailand and Vietnam, and Its Geochemical Significance)

  • 이승구
    • 암석학회지
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    • 제26권3호
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    • pp.281-295
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    • 2017
  • 타이와 베트남산 텍타이트의 주원소 조성, 희토류원소를 포함하는 미량원소 조성, Sr과 Nd의 동위원소 화학조성을 측정하여 상호간의 연관성을 비교하였다. 두 텍타이트의 주원소 조성은 서로 유사하며, 상부지각의 화학조성보다는 PAAS(Post Archean Australian Shale)의 화학조성에 더 유사하다. 거미도와 희토류원소의 분포도는 서로 간에 일치하는 특성을 보여주며, Eu의 부(-)의 이상과 더불어 경희토류가 부화되고 중희토류가 결핍되어 있는 특성 또한 PASS의 희토류원소 분포도와 유사하다. 타이산 텍타이트의 $^{87}Sr/^{86}Sr$$^{143}Nd/^{144}Nd$ 비는 각각 $0.718870{\pm}0.000008(2{\sigma}_m)$, $0.512024{\pm}0.000012(2{\sigma}_m)$이고 베트남산 텍타이트의 $^{87}Sr/^{86}Sr$$^{143}Nd/^{144}Nd$ 비는 $0.717022{\pm}0.000008(2{\sigma}_m)$. $0.511986{\pm}0.000013(2{\sigma}_m)$으로 타이산 텍타이트가 베트남산 텍타이트보다 더 부화된 동위원소 값을 갖고 있다. 그리고 현재까지 알려진 오스트레일리아와 동아시아에서의 텍타이트의 $^{87}Sr/^{86}Sr$$^{143}Nd/^{144}Nd$ 비와 비교했을 때, 이 연구에서의 두 지역 텍타이트의 $^{87}Sr/^{86}Sr$비 값은 모두 기존에 알려져 있는 Australasian 텍타이트에서의 값들의 범위에 포함된다. $^{143}Nd/^{144}Nd$ 비의 경우 타이산 텍타이트는 현재 알려져있는 Australasian 텍타이트의 $^{143}Nd/^{144}Nd$비 값 범위에 들어가는 반면에, 베트남산 텍타이트의 $^{143}Nd/^{144}Nd$비 값은 현재까지 알려진 $^{143}Nd/^{144}Nd$ 비보다 낮았다. 이 연구에서의 두 텍타이트의 지구화학적 특성의 유사성은 두 텍타이트가 거의 동일한 기원물질로부터 유래되었을 가능성을 지시해준다.

Physiological and Genetic Factors Controlling Streptomyces Regulatory Gene Expression Involved in Antibiotic Biosynthesis

  • 김응수
    • 한국미생물학회:학술대회논문집
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    • 한국미생물학회 2002년도 추계학술대회
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    • pp.68-72
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    • 2002
  • While the biosynthetic gene cluster encoding the pigmented antibiotic actinorhodin is present in the two closely related bacterial species, Streptomyces lividans and Streptomyces coelicolor, it normally is expressed only in S. coelicolor---generating the deep blue colonies responsible for the S. coelicolor name. However, multiple copies of the afsR2 gene, which activates actinorhodin synthesis, result in the ability of S. lividansto also synthesize large amounts of actinorhodin. Here we report that the phenotypic property that historicially distinguishes these two Streptomycesspecies is determined conditionally by the carbon source used for culture. Whereas growth on glucose repressed actinorhodin production in S. lividans, culture on solid media containing glycerol as the sole carbon source dramatically increased the expression of afsR2 mRNA---leading to extensive actinorhodin synthesis by S. lividansand obliterating its phenotypic distinction from S. coelicolor. afsR2 transcription under these conditions was developmentally regulated, rising sharply at the time of aerial mycelium formation and coinciding temporally with the onset of actinorhodin production. Our results, which identify media-dependent parallel pathways that regulate actinorhodin synthesis in S. lividans, demonstrate carbon source control of actinorhodin production through the regulation of afsR2 mRNA synthesis. The nucleotide sequences of afsR2 revealed two putative important domains; the domain containing direct repeats in the middle and the domain homologous to sigma factor sequence in the C-terminal end. In this work, we constructed various sized afsR2-derivatives and compared the actinorhodin stimulating effects in S. lividans TK21. The experimental data indicate that the domain homologous to sigma factor sequence in the C-terminal end of afsR2 plays a critical role as an antibiotic stimulating function. In addition, we also observed that the single copy integration of afsR2 regulatory gene into S. lividans TK21 chromosome significantly activates antibiotic overproduction.

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APQP와 DFSS를 연계한 자동차부품연구개발 단계에서 품질보증에 관한 연구 (A Study on Quality Assurance in Auto-parts Research & Development Stage with APQP and DFSS)

  • 이강인;김재휴
    • 품질경영학회지
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    • 제39권1호
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    • pp.131-140
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    • 2011
  • Today, due to the global recession car sales have been decreased rapidly and auto makers are competing continuously to expand their market share. Automakers are struggling in order to secure competitive cost and quality through continuous cost reduction and quality innovation activities to win in the competition. In this situation, auto parts makers are trying to reinforce price competitiveness by reducing COPQ (Cost Of Poor Quality) in the mass production stages by securing the quality of components in advance from the design stage through DFSS (Design For Six Sigma) activities which is 6 sigma approach in the R&D field. However, auto parts makers have been undergone various confusion, feeling difficulties to get interrelationship among various activities. Thus, this study is going to suggest approach method for much more effective R&D activities by securing interrelationship between ISO/TS 16949 system established in the auto parts industry and DFSS activities.

Spark Plasma Sintering Behaviors of M-type Barium Hexaferrite Nano Powders

  • Jung, Im Doo;Kim, Youngmoo;Hong, Yang-Ki;Park, Seong Jin
    • 한국분말재료학회지
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    • 제21권4호
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    • pp.256-259
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    • 2014
  • A magnetic powder, M-type barium hexaferrite (BaFe12O19), was consolidated with the spark plasma sintering process. Three different holding temperatures, $850^{\circ}C$, $875^{\circ}C$ and $900^{\circ}C$ were applied to the spark plasma sintering process with the same holding times, heating rates and compaction pressure of 30 MPa. The relative density was measured simultaneously with spark plasma sintering and the convergent relative density after cooling was found to be proportional to the holding temperature. The full relative density was obtained at $900^{\circ}C$ and the total sintering time was only 33.3 min, which was much less than the conventional furnace sintering method. The higher holding temperature also led to the higher saturation magnetic moment (${\sigma}_s$) and the higher coercivity ($H_c$) in the vibrating sample magnetometer measurement. The saturation magnetic moment (${\sigma}_s$) and the coercivity ($H_c$) obtained at $900^{\circ}C$ were 56.3 emu/g and 541.5 Oe for each.

폴리아닐린과 그 혼합물의 전자기파 차폐특성 (Electromagnetic Shielding Characteristics of Polyaniline and Its Mixtures)

  • 박종수;임인호;최병수
    • 한국전자파학회논문지
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    • 제12권2호
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    • pp.293-298
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    • 2001
  • Polyaniline(EB)/NMP 용액에 carbonblack, grahpite Ag를 첨가하여 우수한 막질의 free standing film을 제조하였다. 1 mole HCI로 도핑된 polyaniline(ES) free standing film($\sigma$=5 S/cm, t=0.14 mm)을 제조하여 10 MHz~1 GHz의 주파수 영역에서 전자기파 차폐효과를 측정한 결과 23~25 dB의 차폐효율을 나타내었으며, carbonblack, grahpite, AG을 첨가하여 제조한 ES free standing film 과 camphorsulfonic acid(CSA)를 도핑한 polyaniline film의 전자기파 차폐효율 측정결과 각각 30~34dB, 36~42dB, 44~52dB, 34~43dB로 ES free standing film 보다 우수한 특성을 나타내었다.

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On a Question of Closed Maps of S. Lin

  • Chen, Huaipeng
    • Kyungpook Mathematical Journal
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    • 제50권4호
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    • pp.537-543
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    • 2010
  • Let X be a regular $T_1$-space such that each single point set is a $G_{\delta}$ set. Denot 'hereditarily closure-preserving' by 'HCP'. To consider a question of closed maps of S. Lin in [6], we improve some results of Foged in [1], and prove the following propositions. Proposition 1. $D\;=\;\{x{\in}X\;:\;\mid\{F{\in}\cal{F}:x{\in}F\}\mid{\geq}{\aleph}_0\}$ is discrete and closed if $\cal{F}$ is a collection of HCP. Proposition 2. $\cal{H}\;=\;\{{\cup}\cal{F}'\;:\;F'$ is an fininte subcolletion of $\cal{F}_n\}$ is HCP if $\cal{F}$ is a collection of HCP. Proposition 3. Let (X,$\tau$) have a $\sigma$-HCP k-network. Then (X,$\tau$) has a $\sigma$-HCP k-network F = ${\cup}_n\cal{F}_n$ such that such tat: (i) $\cal{F}_n\;\subset\;\cal{F}_{n+1}$, (ii) $D_n\;=\;\{x{\in}X\;:\;\mid\{F{\in}\cal{F}_n\;:\;x{\in}F\}\mid\;{\geq}\;{\aleph}_0\}$ is a discrete closed set and (iii) each $\cal{F}_n$ is closed to finite intersections.