• Title/Summary/Keyword: weakly large

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LARGE TIME ASYMPTOTICS OF LEVY PROCESSES AND RANDOM WALKS

  • Jain, Naresh C.
    • Journal of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.583-611
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    • 1998
  • We consider a general class of real-valued Levy processes {X(t), $t\geq0$}, and obtain suitable large deviation results for the empiricals L(t, A) defined by $t^{-1}{\int^t}_01_A$(X(s)ds for t > 0 and a Borel subset A of R. These results are used to obtain the asymptotic behavior of P{Z(t) < a}, where Z(t) = $sup_{u\leqt}\midx(u)\mid$ as $t\longrightarrow\infty$, in terms of the rate function in the large deviation principle. A subclass of these processes is the Feller class: there exist nonrandom functions b(t) and a(t) > 0 such that {(X(t) - b(t))/a(t) : t > 0} is stochastically compact, i.e., each sequence has a weakly convergent subsequence with a nondegenerate limit. The stable processes are in this class, but it is much larger. We consider processes in this class for which b(t) may be taken to be zero. For any t > 0, we consider the renormalized process ${X(u\psi(t))/a(\psi(t)),u\geq0}$, where $\psi$(t) = $t(log log t)^{-1}$, and obtain large deviation probability estimates for $L_{t}(A)$ := $(log log t)^{-1}$${\int_{0}}^{loglogt}1_A$$(X(u\psi(t))/a(\psi(t)))dv$. It turns out that the upper and lower bounds are sharp and depend on the entire compact set of limit laws of {X(t)/a(t)}. The results extend to random walks in the Feller class as well. Earlier results of this nature were obtained by Donsker and Varadhan for symmetric stable processes and by Jain for random walks in the domain of attraction of a stable law.

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Fusarium spp. Isolated from Seed, Root and Cultivated Soil of Phaseouls vidissimus and Their Pathogenicity (녹두종자, 뿌리와 녹두 재배토양에서 분리된 Fusarium spp.와 병원성)

  • Paik Su Bong;Do Eun Su
    • Korean Journal Plant Pathology
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    • v.3 no.1
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    • pp.8-12
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    • 1987
  • Fusarium oxysporum, F. moniliforme, F. solani, F. equiseti, F. semitectum, and F. sporotrichioides were detected from seeds, roots and cultivated soil of Phaseolous vidissimus collected from Kyung-gi Provincial Rural Development Administration. The rate of seedling desease incidence was $60\%$ by testing of seed germination using a large petri-dish. According to the blotter method, F. moniliforme showed $7\%$ infection at seed-coat and $2\%$ at cotyledon and embryo. Their pathogenicities of F. moniliforme, F. semitectum, F. equiseti, and F. sporotrichioides isolated from seeds were recognized on seedlings by water-agar test tube methods. F. oxysporum and F. solani isolated from infected-roots had their pathogenicity by water-agar test tube method but were weakly pathogenic by soil treatment method. Their pathogenicities of F. oxysporum. F. solani and F. uiseti isolated from cultivated-soil were recognized by water-agar test tube method. These F. oxysporum and equiseti isolates had their pathogenicities but F. solani was weakly pathogenic by soil treatment method.

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Is meconium exposure associated with autism spectrum disorders in children?

  • Jenabi, Ensiyeh;Ayubi, Erfan;Khazaei, Salman;Bashirian, Saeid;Khazaei, Mojtaba
    • Clinical and Experimental Pediatrics
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    • v.64 no.7
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    • pp.341-346
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    • 2021
  • Background: The results differ among published studies regarding exposure to meconium and the risk of developing autism spectrum disorders (ASDs). Purpose: The present study pooled all of the epidemiologic studies retrieved from broader databases on the association between meconium exposure and risk of developing ASD in children. Methods: The Web of Science, PubMed, Scopus, and Google Scholar databases were searched without language restrictions for articles published between their inception to February 20, 2020, using relevant keywords. The pooled odds ratios (ORs) and their 95% confidence intervals (CIs) were calculated as random-effect estimates of the associations among studies. A subgroup analysis was conducted to explore any potential sources of heterogeneity among studies. Results: The pooled estimate of OR reported a weakly significant association between meconium exposure and ASD development in children (OR, 1.13; 95% CI, 1.03-1.24). There was low heterogeneity among the articles reporting risk for ASD among children (I2=19.3%; P=0.259). The results of subgroup analysis based on meconium exposure showed a significant association between a meconium-stained neonate and ASD development (OR, 1.18; 95% CI, 1.11-1.24). Couclusion: Meconium exposure was weakly associated with an increased risk of ASD. However, more evidence based on large prospective cohort studies is required to provide conclusive evidence about whether meconium exposure is associated with an increased risk of ASD development.

Kinetic Studies on the Structure-Reactivity of Aryl Dithiomethylacetates

  • Oh, Hyuck-Keun;Park, Jie-Eun;Lee, Hai-Whang
    • Bulletin of the Korean Chemical Society
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    • v.25 no.7
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    • pp.1041-1045
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    • 2004
  • Kinetic studies of the pyridinolysis $(XC_5H_4N)$ of aryl dithiomethylacetates $(CH_3CH_2C(=S)SC_6H_4Z,\;1)$ are carried out in acetonitrile at $60.0^{\circ}C$. A biphasic Bronsted plot is obtained with a change in slope from a large $({\beta}X\;{\cong}\;0.8)$ to a small $({\beta}X\;{\cong}\;0.2)$ value at $pK_a^{\circ}$ = 5.2, which is attributed to a change in the rate limiting step from breakdown to formation of a zwitterionic tetrahedral intermediate, $T^{\pm}$, in reaction path as the basicity of the pyridine nucleophile increases. This mechanism is supported by the change of the cross-interaction constant ${\rho}xz$ from a large positive ( ${\rho}xz$ = +1.36) for the weakly basic pyridines to a small negative ( ${\rho}_xz$ = -0.22) value for the strongly basic pyridines. The magnitudes of ${\rho}z$ and activation parameters are also consistent with the proposed mechanism.

A STUDY ON THE CALCIFICATION IN THE TRANSPLANTED DENTAL PULP OF THE RATS (치수조직의 석회화구조물 형성에 관한 실험적 연구)

  • Lee, In-Sook;Lee, Chung-Sik
    • Restorative Dentistry and Endodontics
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    • v.11 no.1
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    • pp.89-95
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    • 1985
  • The intact dental pulps which were free of their tooth bud from adult rat incisors, and oral mucosa were transplanted subcutaneously in homologous rats to study the formation of calcified tissue. The rat were sacrificed after 1,2,3 and 4 weeks following transplantation of dental pulp and oral mucosa. The samples which contained the transplanted and surrounding tissue were fixed in 10% NBF, stained with hematoxylin and eosin, alizarin red S, von Kossa, and alcian blue. Microscopic examinstins revealed as follows: 1. The transplanted oral mucosas were not calcified but tended to form the epithelial cysts. 2. At 1 week after transplantation of dental pulp the calcified structures were appeared at the periphery of the transplantation of dental pulp but weakly reacted to alizarin red S, von Kossa, and alcian blue. 3. At 2 weeks after transplantation of dental pulp the calcified structures began to expand from the periphery to the center of the transplanted dental pulp and occupied the large areas comparatively, and strongly reacted to alizarin red S, and von Kossa stains. 4. At 3 weeks after transplantation of pulp tissue the fibrous components were grown at the periphery of the transplanted pulp tissuesand at 4 weeks a large amount of fibrous tissues were observed. The transplanted pulp tissue tended to form foreign bodies gradually.

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Ultrastructural and Histochemical Study on the Prostate Gland of a Korean Slug, Incilaria fruhstorferi (한국산 산민달팽이 (Incilaria fruhstorferi) 전립선의 미세구조 및 조직화학적 연구)

  • Chang, Nam-Sub
    • Applied Microscopy
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    • v.27 no.2
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    • pp.155-163
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    • 1997
  • Ultrastructural and histochemical studies were carried out on the prostate gland of a Korean slug (Incilaria fruhstorferi) with light and electron microscopes. The results are as follows. The endothelial tissue of the prostate gland is constituted with tall and narrow ciliated columnar cells, irregularly shaped cells and gland cells in which are included the elongated oval or ellipsoid nucleus those are surrounded by curved membrane. The endothelial tissue of the prostate gland is composed by type-A, B, C and type-D gland cells, and the glanules of type-A, B, and D gland cells are certified to neutral mucopolysaccharide because are related by PAS-alcian blue (pH 2.5) , but the other hand type-C gland cell is only weakly reacted to PAS, but strongly reacted by Million reaction. The glanules of type-A gland cell are small size (about $0.4{\mu}m$) and are seen high electron density, but the glanules of type-B gland cell are large size (about $0.7{\mu}m$) and glanule density is same type-A glanules. Long ellipsoid type-C gland cell contained round nucleus which is well developed beterochromatin in, and that small oval glanules (size, about $0.9{\mu}m$) of moderate high electron density which are formed a group of large glanule together with $4\sim5ea$, but type-D gland cell possessed round small nucleus are seen high electron dense glanules (size, $0.8{\mu}m$).

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Three-dimensional Numerical Modeling of Water Temperature and Internal Waves in a Large Stratified Lake (대형 성층 호수의 수온과 내부파의 3차원 수치 모델링)

  • Chung, Se-Woong;Schladow, S. Geoffrey
    • Journal of Korean Society on Water Environment
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    • v.31 no.4
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    • pp.367-376
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    • 2015
  • The momentum and kinetic turbulent energy carried by the wind to a stratified lake lead to basin-scale motions, which provide a major driving force for vertical and horizontal mixing. A three-dimensional (3D) hydrodynamic model was applied to Lake Tahoe, located between California and Nevada, USA, to simulate the dominant basin-scale internal waves in the deep lake. The results demonstrated that the model well represents the temporal and vertical variations of water temperature that allows the internal waves to be energized correctly at the basin scale. Both the model and thermistor chain (TC) data identified the presence of Kelvin modes and Poincare mode internal waves. The lake was weakly stratified during the study period, and produced large amplitude (up to 60 m) of internal oscillations after several wind events and partial upwelling near the southwestern lake. The partial upwelling and followed coastal jets could be an important feature of basin-scale internal waves because they can cause re-suspension and horizontal transport of fine particles from nearshore to offshore. The internal wave dynamics can be also associated with the distributions of water quality variables such as dissolved oxygen and nutrients in the lake. Thus, the basin-scale internal waves and horizontal circulation processes need to be accurately modeled for the correct simulation of the dissolved and particulate contaminants, and biogeochemical processes in the lake.

A Semi-Analytic Approach for Analysis of Parametric Roll (준해석적 방법을 통한 파라메트릭 횡동요 해석)

  • Lee, Jae-Hoon;Kim, Yonghwan
    • Journal of the Society of Naval Architects of Korea
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    • v.52 no.3
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    • pp.187-197
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    • 2015
  • This study aims the development of a semi-analytic method for the parametric roll of large containerships advancing in longitudinal waves. A 1.5 Degree-of-Freedom(DOF) model is proposed to account the change of transverse stability induced by wave elevations and vertical motions (heave and pitch). By approximating the nonlinearity of restoring moment at large heel angles, the magnitude of roll amplitude is predicted as well as susceptibility check for parametric roll occurrence. In order to increase the accuracy of the prediction, the relationship between righting arm(GZ) and metacentric height(GM) is examined in the presence of incident waves, and then a new formula is proposed. Based on the linear approximation of the mean and first harmonic component of GM, the equation of parametric roll in irregular wave excitations is introduced, and the computational results of the proposed model are validated by comparing those of weakly nonlinear simulation based on an impulse-response-function method combined with strip theory. The present semi-analytic doesn’ t require heavy computational effort, so that it is very efficient particularly when numerous sea conditions for the analysis of parametric roll should be considered.

Investigation on the Generalized Hydrodynamic Force and Response of a Flexible Body at Different Reference Coordinate System (기준 좌표계에 따른 탄성체의 일반화 파랑 하중 및 응답에 대한 연구)

  • Heo, Kyeonguk;Choi, Yoon-Rak
    • Journal of the Society of Naval Architects of Korea
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    • v.58 no.6
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    • pp.348-357
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    • 2021
  • In this paper, the generalized hydrodynamic force and response of a flexible body are calculated at different reference coordinate systems. We generalize the equation of motion for a flexible body by using the conservation of momentum (Mei et al., 2005). To obtain the equations in the generalized mode, two different reference coordinates are adopted. The first is the body-fixed coordinate system by a rigid body motion. The other is the inertial coordinate system which has been adopted for the analysis. Using the perturbation scheme in the weakly-nonlinear assumption, the equations of motion are expanded up to second-order quantities and several second-order forces are obtained. Numerical tests are conducted for the flexible barge model in head waves and the vertical bending is only considered in the hydroelastic responses. The results show that the linear response does not have the difference between the two formulations. On the other hand, second-order quantities have different values for which the rigid body motion is relatively large. However, the total summation of second-order quantities has not shown a large difference at each reference coordinate system.

A Forwarding Scheme for (m,k)-firm Streams Based on Local Decision in Wireless Sensor Networks

  • Li, Bijun;Kim, Ki-Il
    • Journal of information and communication convergence engineering
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    • v.9 no.6
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    • pp.775-779
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    • 2011
  • As the technology of multimedia sensor networks is desired in large numbers of applications nowadays, real-time service becomes one of the most important research challenges. Even though lots of related works have been conducted to meet this requirement in several ways, the specific traffic model for real-time has not been taken yet. Thus, it causes lack of adaptability of those approaches in real deployment. To solve this problem, in this paper, we model the application via (m,k)-firm streams which have weakly hard real-time property. And then, a novel forwarding scheme based on modified DBP (Distance-Based Priority) is proposed by considering local-DBP and stream DBP together. Local-DBP can contribute to identify the detailed causes of unsatisfied quality, that is, network congestion or wireless link failure. Simulation results reveal that (m,k)-firm is a good traffic model for multimedia sensor networks and the proposed scheme can contribute to guarantee real-time requirement well.