• Title/Summary/Keyword: exponential functions

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Global Fitting Functions for Kinetics of Fe-Selective Chlorination in Ilmenite and Successive Chlorination of Beneficiated TiO2 (일메나이트 중 철의 선택적 염화와 선광된 TiO2의 추가 염화반응에 대한 글로벌 피팅함수)

  • Chung, Dong-Kyu;Won, Yong Sun;Kim, Yong-Ha;Jung, Eun-Jin;Song, Duk-Yong
    • Korean Journal of Materials Research
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    • v.29 no.7
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    • pp.412-424
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    • 2019
  • Global fitting functions for Fe-selective chlorination in ilmenite($FeTiO_2$) and successive chlorination of beneficiated $TiO_2$ are proposed and validated based on a comparison with experimental data collected from the literature. The Fe-selective chlorination reaction is expressed by the unreacted shrinking core model, which covers the diffusion-controlling step of chlorinated Fe gas that escapes through porous materials of beneficiated $TiO_2$ formed by Fe-selective chlorination, and the chemical reaction-controlling step of the surface reaction of unreacted solid ilmenite. The fitting function is applied for both chemical controlling steps of the unreacted shrinking core model. The validation shows that our fitting function is quite effective to fit with experimental data by minimum and maximum values of determination coefficients of $R^2$ as low as 0.9698 and 0.9988, respectively, for operating parameters such as temperature, $Cl_2$ pressure, carbon ratio and particle size that change comprehensively. The global fitting functions proposed in this study are expressed simply as exponential functions of chlorination rate(X) vs. time(t), and each of them are validated by a single equation for various reaction conditions. There is therefore a certain practical merit for the optimal process design and performance analysis for field engineers of chlorination reactions of ilmenite and $TiO_2$.

An Exponential Indexing Scheme for Broadcast Disk Program in a Single Wireless Channel (단일 무선 채널에서 브로드캐스트 디스크 프로그램을 위한 지수 인덱스 기법)

  • Park, Ki-Young;Jung, Sung-Won
    • Journal of KIISE:Databases
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    • v.35 no.6
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    • pp.518-532
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    • 2008
  • Broadcast scheme has been widely researched for efficient data delivery in the mobile environment because the downlink capacity of a mobile client is much greater than the uplink capacity, and the power of a mobile client is limited. In the proposed scheme, the index lets the client know when data items would be broadcasted and enables the client to minimize the tuning time and power consumption. Single channel index schemes are fit to flat broadcast that performs well when all the broadcasted data items are accessed with the same probability whereas the multi-disk broadcast scheme is proper when the data access distribution is skewed. The existing index schemes, however, cannot work on the Multi-disk broadcast scheme because they cannot point the replicating data items in a broadcast cycle. This paper proposes a Multi-disk Exponential Index (MDEI) which is a single channel index scheme fit to Multi-disk broadcast scheme. Because MDEI scheme organizes a separate index for each disk, it functions with multi-disk broadcast, resulting in a greater reduction of average access latency than that of other flat-broadcast index schemes when the data access distribution is skewed. The performance evaluation showed that MDEI has a good performance when data access distribution is skewed. MDEI has short average access latency and not much average tuning time when the data access distribution is skewed.

Development of the Best Spherical Interpolation Method for Estimating Potential Natural Vegetation Distribution of the Globe (지구(地球)의 잠재자연식생분포(潜在自然植生分布)를 추정(推定)하기 위한 최적구면보간법(最適球面補間法)의 개발(開發))

  • Cha, Gyung Soo;Ochiai, Kamiya
    • Journal of Korean Society of Forest Science
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    • v.86 no.1
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    • pp.17-24
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    • 1997
  • As the first step to estimate the potential natural vegetation distribution of the globe, the best spherical interpolation method was developed to the temperature and precipitation which have close relation to the distribution pattern of world natural vegetation. For developing the interpolation method, a named Light Climatic Dataset composed of 1,060 stations around the globe was randomly divided into halves of feeding side and target side. The discrepancy between the observed and estimated values at the target stations was compared with combinations of parameters and methods. The estimated values were calculated to each combination which is all-out, constant radius and constant station methods in the selection of the feeding stations, n square reciprocal and negative exponential functions in weighting function of distance between feeding stations and each target, and oval weighting in direction of the feeding stations from each target. As a result, it turned out that the spherical interpolation with negative exponential weighting function fed from the constant radius stations ovally weighed yields the best estimates both for temperature and for precipitation. The parameters for temperature are $30^{\circ}$ in constant radius, 0.78 in negative exponential function and 0.4 in oval weighting, and for precipitation are $30^{\circ}$, 0.53 and 0.4, respectively.

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A Study on the Impact of the Intranet on Communication (인트라넷이 의사소통에 미치는 영향에 관한 연구)

  • Roh Kyung-Ho
    • Management & Information Systems Review
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    • v.12
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    • pp.53-75
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    • 2003
  • The Internet is flourishing and the World Wide Web is growing at an exponential rate. A fundamental concept of Intranet, the so-called second wave, was introduced only a few years ago. Intranets have been embraced by corporate users of information services and made substantial inroads in strategic vision documents and procurement practices. Business organizations have come to the conclusion that they require an extensive data repository in order to acquire a competitive advantage in a dynamically change market. This rich assortment of data must further be delivered and deliverable enterprise-wide in a secure and cost-efficient manner. Information technology(IT) has created the Intranet as a vitally important mechanism for the storage, dissemination, and even the analysis data. The present study is an attempt to develop a more through understanding of the potential and actual impact of the Intranet on organizational functions and activities. Expecially, it also consists of an effort to assess the impact of the Intranet on communication. The research also addresses the issue of how the Intranet affects communication and shapes or modifies business activities. The results of literature review and study revealed that middle managers believe that the extent of the Intranet use is significantly related to improvements in overall organizational functions and activities. While communication, decision-making, productivity, work collaboration, and business activities are all enhanced by Intranet use, communication appears to be most dramatically improved by Intranet use.

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A simple and efficient 1-D macroscopic model for shape memory alloys considering ferro-elasticity effect

  • Damanpack, A.R.;Bodaghi, M.;Liao, W.H.;Aghdam, M.M.;Shakeri, M.
    • Smart Structures and Systems
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    • v.16 no.4
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    • pp.641-665
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    • 2015
  • In this paper, a simple and efficient phenomenological macroscopic one-dimensional model is proposed which is able to simulate main features of shape memory alloys (SMAs) particularly ferro-elasticity effect. The constitutive model is developed within the framework of thermodynamics of irreversible processes to simulate the one-dimensional behavior of SMAs under uniaxial simple tension-compression as well as pure torsion+/- loadings. Various functions including linear, cosine and exponential functions are introduced in a unified framework for the martensite transformation kinetics and an analytical description of constitutive equations is presented. The presented model can be used to reproduce primary aspects of SMAs including transformation/orientation of martensite phase, shape memory effect, pseudo-elasticity and in particular ferro-elasticity. Experimental results available in the open literature for uniaxial tension, torsion and bending tests are simulated to validate the present SMA model in capturing the main mechanical characteristics. Due to simplicity and accuracy, it is expected the present SMA model will be instrumental toward an accurate analysis of SMA components in various engineering structures particularly when the ferro-elasticity is obvious.

Approximated MAP Algorithm for Gray Coded QAM Signals (Gray 부호화된 QAM 신호를 위한 근사화된 MAP 알고리듬)

  • Hyun, Kwang-Min
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.12
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    • pp.3702-3707
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    • 2009
  • In this paper, a new approximated MAP algorithm for soft bit decision from QAM symbols is proposed for Gray Coded QAM signals, based on the Max-Log-MAP and a Gray coded QAM signal can be separated into independent two Gray coded PAM signal, M-PAM on I axis with M symbols and N-PAM on Q axis with N symbols. The Max-Log-MAP used distance comparisons between symbols to get the soft bit decision instead of mathematical exponential or logarithm functions. But in accordance with the increase of the number of symbols, the number of comparisons also increase with high complexity. The proposed algorithm is used with the Euclidean distance and constituted with plain arithmetic functions, thus we can know intuitively that the algorithm has low implementing complexity comparing to conventional ones.

Quasi-3-Dimensional Analysis of Compressible Flow within a Blade Row Including Viscous Effect in H-S Flow (H-S 유동의 점성효과를 고려한 원심압축기 회전차내부의 준3차원 유동해석)

  • 오종식;조강래
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.12
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    • pp.3287-3296
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    • 1994
  • For the numerical computation of three-dimensional compressible flow field within a blade row in a centrifugal compressor, a quasi 3-dimensional solver which combines a reversible B-B flow and an irreversible H-S flow using finite element methods was developed. In a reversible B-B flow, the governing coordinates are modified in order to be applied to any type of turbomachinery, and two kinds of stream functions are introduced in order to make the Kutta condition exactly satisfied. In an irreversible H-S flow, the changes of entropy in the irreversible governing equations are determined not by empirical source but by the theoretical treatment of dissipation forces. The dissipation forces are obtained from the distribution of shear stresses in the flow passage which are given from the wall shear stresses using the exponential functions. A more accurate quasi-3-dimensional solver is established where the effect of body forces is involved in the non-axisymmetric H-S flow. Some numerical results obtained from authors' previous studies for axial flow machines assure that the present method is able to predict well as long as the flow is subsonic and not under strong viscous effect.

Enhanced Particle Swarm Optimization for Short-Term Non-Convex Economic Scheduling of Hydrothermal Energy Systems

  • Jadoun, Vinay Kumar;Gupta, Nikhil;Niazi, K. R.;Swarnkar, Anil
    • Journal of Electrical Engineering and Technology
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    • v.10 no.5
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    • pp.1940-1949
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    • 2015
  • This paper presents an Enhanced Particle Swarm Optimization (EPSO) to solve short-term hydrothermal scheduling (STHS) problem with non-convex fuel cost function and a variety of operational constraints related to hydro and thermal units. The operators of the conventional PSO are dynamically controlled using exponential functions for better exploration and exploitation of the search space. The overall methodology efficiently regulates the velocity of particles during their flight and results in substantial improvement in the conventional PSO. The effectiveness of the proposed method has been tested for STHS of two standard test generating systems while considering several operational constraints like system power balance constraints, power generation limit constraints, reservoir storage volume limit constraints, water discharge rate limit constraints, water dynamic balance constraints, initial and end reservoir storage volume limit constraints, valve-point loading effect, etc. The application results show that the proposed EPSO method is capable to solve the hard combinatorial constraint optimization problems very efficiently.

A Study on the Impact of the e-business of SMEs on Productivity (중소기업의 e-비즈니스가 생산성에 미치는 영향에 관한 연구)

  • Roh, Kyung-Ho
    • International Commerce and Information Review
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    • v.7 no.2
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    • pp.49-74
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    • 2005
  • E-business has received much attention from entrepreneurs, executives, investors, and industry observers recently. The Internet is flourishing and the World Wide Web is growing at an exponential rate In recent years, information has become the critical commodity needed for success in the changing global economic order. Accordingly, business organizations have come to the conclusion that they require an extensive data repository in order to acquire a competitive advantage in a dynamically change market. This rich assortment of data must further be delivered and deliverable enterprise-wide in a secure and cost-efficient manner. Information technology(IT) has created the E-business as a vitally important mechanism for the storage, dissemination, and even the analysis data. The E-business has become increasingly important to a growing number of organizations in Korea in relatively short order. The present study is an attempt to develop a more through understanding of the potential and actual impact of the E-business on organizational functions and activities. Expecially, it also consists of an effort to assess the impact of the E-business on productivity. The research also addresses the issue of how the E-business affects productivity and shapes or modifies business activities. The results of literature review and study revealed that middle managers believe that the extent of the E-business use is significantly related to improvements in overall organizational functions and activities. While communication, decision-making, productivity, work collaboration, and business activities are all enhanced by E-business use, productivity appears to be most dramatically improved by Intranet use.

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Exact solutions for free vibration of multi-step orthotropic shear plates

  • Li, Q.S.
    • Structural Engineering and Mechanics
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    • v.9 no.3
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    • pp.269-288
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    • 2000
  • The governing differential equations for free vibration of multi-step orthotropic shear plates with variably distributed mass, stiffness and viscous damping are established. It is shown that a shear plate can be divided into two independent shear bars to determine the natural frequencies and mode shapes of the plate. The jk-th natural frequency of a shear plate is equal to the square root of the square sum of the j-th natural frequency of a shear bar and the k-th natural frequency of another shear bar. The jk-th mode shape of the shear plate is the product of the j-th mode shape of a shear bar and the k-th mode shape of another shear bar. The general solutions of the governing equations of the orthotropic shear plates with various boundary conditions are derived by selecting suitable expressions, such as power functions and exponential functions, for the distributions of stiffness and mass along the height of the plates. A numerical example demonstrates that the present methods are easy to implement and efficient. It is also shown through the numerical example that the selected expressions are suitable for describing the distributions of stiffness and mass of typical multi-storey buildings.