• Title/Summary/Keyword: T-S model

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A Statistical-Mechanical Model on the Temperature Dependence of Critical Micelle Concentration (임계 마이셀 농도의 온도 의존성에 대한 통계 역학적 모델)

  • Lim, Kyung-Hee;Kang, Kye-Hong;Lee, Mi-Jin
    • Applied Chemistry for Engineering
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    • v.17 no.6
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    • pp.625-632
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    • 2006
  • Dependence of the critical micelle concentration (CMC) on temperature is examined from a statistical-mechanical point of view. A simple and primitive model examined in this article yields ln CMC= A+BT+C/T+D ln T with T being temperature and A, B, C, D being constants depending on the properties of the surfactant molecules which comprise the micelles. The resulting equation combines Muller's and Lim's equations, which have already been proven to fit well measured CMC data with temperature. The statistical-mechanical model on micellization discussed in this article provides a theoretical basis on these equations.

Trends in standardization of IoT based electrical safety technology (사물인터넷 기반 전기안전 기술 및 표준화 동향)

  • An, Y.Y.;Kim, S.H.;Jeong, S.J.;Kang, H.J.
    • Electronics and Telecommunications Trends
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    • v.35 no.1
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    • pp.49-59
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    • 2020
  • This paper describes an IoT-based electrical safety management system for managing the electrical power distribution systems in factories or buildings and for managing private electrical devices in apartment complex. The IoT-based electrical safety management system collects IoT data from the electrical facilities or devices to provide various electrical safety services. In some cases, it uses an IoT adaptor to collect data from legacy facilities. By monitoring and analyzing the IoT data, it is possible to provide protection from and prevent electrical hazards. In addition, an IoT-based electrical safety management system can benefit from using the IoT identification system and standardized data model of the electrical facilities and devices. An IoT identification system is used to increase manageability of large-scale electrical facilities which consists of numerous IoT devices. A standardized data model is used to support interoperability. This paper also explores some international and Korean standards related to IoT-based electrical safety management.

SUNSPOT MODELING AND SCALING LAWS

  • SKUMANICH A.
    • Journal of The Korean Astronomical Society
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    • v.36 no.spc1
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    • pp.1-5
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    • 2003
  • In an early paper Skumanich suggested the existence of a scaling law relating the mean sunspot magnetic field with the square-root of the photospheric pressure. This was derived from an analysis of a variety of theoretical spot models including those by Yun (1968). These were based on the Schliiter-Temesvary (S- T) similarity assumption. To answer criticisms that such modeling may have unphysical (non-axial maxima) solutions, the S-T model was revisited, Moon et al. (1998), with an improved vector potential function. We consider here the consequences of this work for the scaling relation. We show that by dimensionalizing the lateral force balance equation for the S- T model one finds that a single parameter enters as a characteristic value of the solution. This parameter yields Skumanich's scaling directly. Using an observed universal flux-radius relation for dark solar magnetic features (spots and pores) for comparison, we find good to fair agreement with Yun's characteristic value, however the Moon et al. values deviate significantly.

Lateral Electric Field Model and Degradation Mechanism of surface-Channel PMOSFET's (SC PMOSFET의 수평 전개 모델과 노쇠화 메카니즘)

  • 양광선;박종태;김봉렬
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.31A no.1
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    • pp.54-60
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    • 1994
  • In this paper, we present the analytical models for the change of the lateral electric field distribution and the velocity saturation region length with the electron trapping of stressed SC-PMOSFET in the saturation region. To derive the hot-electron-induced lateral electric field of stressed SC-PMOSFET. Ko's pseudo two dimensional box model in the saturation region which illustrates the analysis of the velocity saturation region is modified under the condition of electron trapping in the oxide near the drain region. From the results, we have the following lateral electric field in the y-direction, that is, E(y) ES1satT.cosh(y/l) qNS1tT.sinh(y/l)/lCox. It is shown that the trapped electrons influence the field in the drain region. decreasing the lateral electric field. Calculated velocity saturaion length increases with the trapped electrons. increasing the drain current of stressed SCPMOSFET. This results well explain the HEIP phenomenon of PMOSFET's.

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Development of a Dynamic System Simulating Pig Gastric Digestion

  • Chiang, C.-C.;Croom, J.;Chuang, S.-T.;Chiou, P.W.S.;Yu, B.
    • Asian-Australasian Journal of Animal Sciences
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    • v.21 no.10
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    • pp.1522-1528
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    • 2008
  • The objective of this study was to develop a model for simulating gastric digestion in the pig. The model was constructed to include the chemical and physical changes associated with gastric digestion such as enzyme release, digestion product removal and gastric emptying. Digesta was collected from the stomach cannula of pigs to establish system parameters and to document the ability of the model to simulate gastric digestion. The results showed that the average pH of gastric digesta increased significantly from 2.47 to 4.97 after feed consumption and then decreased 140 min postprandial. The model described the decrease in pH within the pigs' stomach as $pH_t=5.182e^{-0.0014t}$, where t represents the postprandial time in minutes. The cumulative distribution function of liquid digesta was $V_t=64.509e^{0.0109t}$. The average pepsin activity in the liquid digesta was 317Anson units/mL. There was significant gastric emptying 220 min after feed consumption. The cybernetic dynamic system of gastric digestion was set according to the above data in order to compare with in vivo changes. The time course of crude protein digestion predicted by the model was highly correlated with observed in vivo digestion (r = 0.97; p = 0.0001), Model prediction for protein digestion was higher than that observed for a traditional static in vitro method (r = 0.89; p = 0.0001).

Distributions of Hyperfine Parameters in Amorphous $Fe_{83}B_9Nb_7Cu_1$ Alloys (비정질 $Fe_{83}B_9Nb_7Cu_1$의 M$\)

  • 윤성현;김성백;김철성
    • Journal of the Korean Magnetics Society
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    • v.9 no.6
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    • pp.271-277
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    • 1999
  • Amorphous $Fe_{83}B_9Nb_7Cu_1$ alloy has been studied by M$\"{o}$ssbauer spectroscopy. Revised Vincze method was used and distributions of hyperfine field, isomer shift, and quadrupole line broadening of the sample at various temperatures have been evaluated and Curie temperature and $H_{hf}\;(0)$ were calculated to be 393 K and 231 kOe, respectively. Temperature variation of reduced average hyperfine field shows a flattered curvein comparison with the Brillouin curve for S=1. This behavior can be explained on the basis of Handrich molecular field model, in which the parameter Δ, which is a measure of fluctuation in exchange interactions, is assumed to have the temperature dependence ${Delta}=0.75-0.64{\tau}+0.47{\tau}^2$ where $\tau$ is $T/T_C$. At low temperature, the average hyperfine field can be fitted to $H_{hf}\;(T)=H_{hf}\;(0)\;[1-0.44\;(T/T_C)^{3/2}-0.28(T/T_C)^{5/2}-… ]$, which indicates the presence long wave length spin wave excitations. At temperature near TC, reduced average hyperfine field varies as $1.00\;[1-T/T_C]^{0.39}$. It is also found that half-width of the hyperfine field distribution was 102 kOe (3.29 mm/s) at 13 K and decreased monotonically as temperature increased. Above the Curie temperature, an average quadrupole splitting value of 0.43 mm/s was found. Average line broadening due to quadrupole splitting distribution was 0.31 mm/s at 13 K and decreases monotonically to 0.23 mm/s at 320 K, whereas that due to the isomer shift distribution is 0.1 mm/s at 13 K and 0.072 mm/s at 320 K, which is much smaller than that of both hyperfine field and quadrupole splitting. The temperature dependence of the isomer shift can be fitted within the harmonic approximation to a Deybe model with a Debye temperature ${Theta}_D=424{\pm}5K$.TEX>.

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Spring-back Prediction of MS1470 Steel Sheets Based on a Non-linear Kinematic Hardening Model (이동경화 모델에 기반한 MS1470 강판의 스프링백 예측)

  • Park, S.C.;Park, T.;Koh, Y.;Seok, D.Y.;Kuwabara, T.;Noma, N.;Chung, K.
    • Transactions of Materials Processing
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    • v.22 no.6
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    • pp.303-309
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    • 2013
  • Spring-back of MS1470 steel sheets was numerically predicted using a non-linear kinematic hardening material behavior based on the Yoshida-Uemori model. From uniaxial tension and uniaxial tension-compression-tension data as well as the uniaxial tension-unloading-tension data, the parameters of the Yoshida-Uemori model were obtained. For the numerical simulations, the Yoshida-Uemori model was implemented into the commercial finite element program, ABAQUS/Explicit and ABAQUS/Standard using the user-defined material subroutines. The model performance was validated against the measured spring-back from the benchmark problems of NUMISHEET 2008 and NUMISHEET 2011, the 2-D draw bending test and the S-rail forming test, respectively.

A fast approximate fitting for mixture of multivariate skew t-distribution via EM algorithm

  • Kim, Seung-Gu
    • Communications for Statistical Applications and Methods
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    • v.27 no.2
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    • pp.255-268
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    • 2020
  • A mixture of multivariate canonical fundamental skew t-distribution (CFUST) has been of interest in various fields. In particular, interest in the unsupervised learning society is noteworthy. However, fitting the model via EM algorithm suffers from significant processing time. The main cause is due to the calculation of many multivariate t-cdfs (cumulative distribution functions) in E-step. In this article, we provide an approximate, but fast calculation method for the in univariate fashion, which is the product of successively conditional univariate t-cdfs with Taylor's first order approximation. By replacing all multivariate t-cdfs in E-step with the proposed approximate versions, we obtain the admissible results of fitting the model, where it gives 85% reduction time for the 5 dimensional skewness case of the Australian Institution Sport data set. For this approach, discussions about rough properties, advantages and limits are also presented.

IMPLEMENTATION OF LAPLACE ADOMIAN DECOMPOSITION AND DIFFERENTIAL TRANSFORM METHODS FOR SARS-COV-2 MODEL

  • N. JEEVA;K.M. DHARMALINGAM;S.E. FADUGBA;M.C. KEKANA;A.A. ADENIJI
    • Journal of applied mathematics & informatics
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    • v.42 no.4
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    • pp.945-968
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    • 2024
  • This study focuses on SIR model for SARS-CoV-2. The SIR model classifies a population into three compartments: susceptible S(t), infected I(t), and recovered R(t) individuals. The SARS-CoV-2 model considers various factors, such as immigration, birth rate, death rate, contact rate, recovery rate, and interactions between infected and healthy individuals to explore their impact on population dynamics during the pandemic. To analyze this model, we employed two powerful semi-analytical methods: the Laplace Adomian decomposition method (LADM) and the differential transform method (DTM). Both techniques demonstrated their efficacy by providing highly accurate approximate solutions with minimal iterations. Furthermore, to gain a comprehensive understanding of the system behavior, we conducted a comparison with the numerical simulations. This comparative analysis enabled us to validate the results and to gain valuable understanding of the responses of SARS-CoV-2 model across different scenarios.

A generalized form of software reliability growth (소프트웨어 신뢰도 성장모델의 일반형)

  • 유재년
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.35C no.5
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    • pp.11-16
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    • 1998
  • We analyze the software reliability growth models for the specified period from the viewpoint of theory of differential equations. we defien a genralized form of reliability growth models as follws: dN(t)/dt = b(t)f(N(t)), Where N(t) is the number of remaining faults and b(t) is the failure rate per software fault at time t. We show that the well-known three software reliability growth models - Goel - Okumoto, s-shaped, and Musa-Okumoto model- are special cases of the generalized form. We, also, extend the generalized form into an extended form being dN(t)/dt = b(t, .gamma.)f(N(t)), The genneralized form can be obtained if the distribution of failures is given. The extended form can be used to describe a software reliabilit growth model having weibull density function as a fault exposure rate. As an application of the generalized form, we classify three mentioned models according to the forms of b(t) and f(N(t)). Also, we present a case study applying the generalized form.

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