• Title/Summary/Keyword: Logarithmic function

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Differences Between Facial Electrodermal Activities of Paralyzed Side and Those of Normal Side in Acute Stage of Bell's Palsy Patients (발병초기 Bell's Palsy 환자의 안면부 피부전기활동성 차이에 관한 연구)

  • Han, Kyung-Sook;Nam, Tong-Hyun;Koh, Hyung-Kyun;Park, Young-Bae
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.9 no.2
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    • pp.72-82
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    • 2005
  • Background and purpose: Bell‘s Palsy is a condition that causes the facial muscles to weaken or become paralyzed. It's caused by trauma to the 7th cranial nerve, and is not permanent. The aim of this study is to be convinced of differences between facial electrodermal activities of paralyzed side and those of normal side in acute stage of Bell's Palsy patients Methods: Electrodermal activity (EDA) was performed within 1 week after the onset of facial palsy and facial nerve electromyography (EMG) at 2 weeks after the onset. The recovery of facial nerve function was documented by House and Brackmann grading. All the patients were followed up weekly until recovery or up to 6 weeks. Results: There was significant differences (conductivity A: t=3.319, p=0.002; conductivity C: t=2.699, p=0.010) between facial electrodermal conductivities of paralyzed side and those of normal side in acute stage of Bell's Palsy patients (N=45). And the result showed that logarithmic scale of electrodermal conductivity A value ratio obviousely decreased with logarithmic scale of EMG zygomatic branch amplitude ratio (r=-0.472, p=0.143); logarithmic scale of capacitance B, logarithmic scale of EMG temporal branch amplitude ratio (r=-0.422, p=0.133); logarithmic scale of conductivity C, logarithmic scale of EMG buccal branch amplitude ratio (r=-0.545, p=0.083) (N=12). Conclusion: Electrodermal conductivities increased in paralyzed facial side in acute stage of Bell's Palsy patients.

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A Study on the Reliability Performance Evaluation of Software Reliability Model Using Modified Intensity Function (변형된 강도함수를 적용한 소프트웨어 신뢰모형의 신뢰성능 비교 평가에 관한 연구)

  • Kim, Hee Cheul;Moon, Song Chul
    • Journal of Information Technology Applications and Management
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    • v.25 no.2
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    • pp.109-116
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    • 2018
  • In this study, we was compared the reliability performance of the software reliability model, which applied the Goel-Okumoto model developed using the exponential distribution, to the logarithmic function modifying the intensity function and the Rayleigh form. As a result, the log-type model is relatively smaller in the mean squared error compared to the Rayleigh model and the Goel-Okumoto model. The logarithmic model is more efficient because of the determination coefficient is relatively higher than the Goel-Okumoto model. The estimated determination coefficient of the proposed model was estimated to be more than 80% which is a useful model in the field of software reliability. Reliability has been shown to be relatively higher in the log-type model than the Rayleigh model and the Goel-Okumoto model as the mission time has elapsed. Through this study, software designer and users can identify the software failure characteristics using mean square error, decision coefficient. The confidence interval can be used as a basic guideline when applying the intensity function that reflects the characteristics of the lifetime distribution.

On the thermal buckling response of FG Beams using a logarithmic HSDT and Ritz method

  • Kadda Bouhadjeb;Abdelhakim Kaci;Fouad Bourada;Abdelmoumen Anis Bousahla;Abdelouahed Tounsi;Mohammed A. Al-Osta;S.R. Mahmoud;Farouk Yahia Addou
    • Geomechanics and Engineering
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    • v.37 no.5
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    • pp.453-465
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    • 2024
  • This paper presents a logarithmic shear deformation theory to study the thermal buckling response of power-law FG one-dimensional structures in thermal conditions with different boundary conditions. It is assumed that the functionally graded material and thermal properties are supposed to vary smoothly according to a contentious function across the vertical direction of the beams. A P-FG type function is employed to describe the volume fraction of material and thermal properties of the graded (1D) beam. The Ritz model is employed to solve the thermal buckling problems in immovable boundary conditions. The outcomes of the stability analysis of FG beams with temperature-dependent and independent properties are presented. The effects of the thermal loading are considered with three forms of rising: nonlinear, linear and uniform. Numerical results are obtained employing the present logarithmic theory and are verified by comparisons with the other models to check the accuracy of the developed theory. A parametric study was conducted to investigate the effects of various parameters on the critical thermal stability of P-FG beams. These parameters included support type, temperature fields, material distributions, side-to-thickness ratios, and temperature dependency.

On the Evaluation of a Vortex-Related Definite Trigonometric Integral

  • Lee, Dong-Kee
    • Journal of Ocean Engineering and Technology
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    • v.18 no.1
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    • pp.7-9
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    • 2004
  • Using the solution to th contour integral of the complex logarithmic function ${\oint}_cIn(z-z_{0})dz$, the following definite integral, derived from the formula to calculate the forces exerted to n circular cylinder by the discrete vortices shed from it, has been evaluated (equation omitted)

Analysis of Schottky Barrier Height in Small Contacts Using a Thermionic-Field Emission Model

  • Jang, Moon-Gyu;Lee, Jung-Hwan
    • ETRI Journal
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    • v.24 no.6
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    • pp.455-461
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    • 2002
  • This paper reports on estimating the Schottky barrier height of small contacts using a thermionic-field emission model. Our results indicate that the logarithmic plot of the current as a function of bias voltage across the Schottky diode gives a linear relationship, while the plot as a function of the total applied voltage across a metal-silicon contact gives a parabolic relationship. The Schottky barrier height is extracted from the slope of the linear line resulting from the logarithmic plot of current versus bias voltage across the Schottky diode. The result reveals that the barrier height decreases from 0.6 eV to 0.49 eV when the thickness of the barrier metal is increased from 500 ${\AA}$ to 900 ${\AA}$. The extracted impurity concentration at the contact interface changes slightly with different Ti thicknesses with its maximum value at about $2.9{\times}10^{20}\;cm^{-3}$, which agrees well with the results from secondary ion mass spectroscopy (SIMS) measurements.

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Analysis of Steady Vortex Rings Using Contour Dynamics Method for Fluid Velocity

  • Choi, Yoon-Rak
    • Journal of Ocean Engineering and Technology
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    • v.36 no.2
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    • pp.108-114
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    • 2022
  • Most studies on the shape of the steady vortex ring have been based on the Stokes stream function approach. In this study, the velocity approach is introduced as a trial approach. A contour dynamics method for fluid velocity is used to analyze the Norbury-Fraenkel family of vortex rings. Analytic integration is performed over the logarithmic-singular segment. A system of nonlinear equations for the discretized shape of the vortex core is formulated using the material boundary condition of the core. An additional condition for the velocities of the vortical and impulse centers is introduced to complete the system of equations. Numerical solutions are successfully obtained for the system of nonlinear equations using the iterative scheme. Specifically, the evaluation of the kinetic energy in terms of line integrals is examined closely. The results of the proposed method are compared with those of the stream function approaches. The results show good agreement, and thereby, confirm the validity of the proposed method.

Numerical Calculation of the Relaxation Spectrum from the Correlation Function$^\dag$

  • Lee, Hoo-Sung
    • Bulletin of the Korean Chemical Society
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    • v.8 no.5
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    • pp.406-408
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    • 1987
  • It has been shown that the distribution of relaxation times, H(ln $\tau$), in semi-logarithmic time scale can easily be calculated numerically from the derivative of the relaxation function in semilogarithmic scale. In that, ln$\tau$, the abscissa, is divided into N different segments of equal size, then H is considered to be a linear function of ln $\tau$within each segment. The technique has been applied to a Williams-Watts function as well as to the relaxation function obtained by photon correlation spectroscopy from atactic polystyrene glass. It has been demonstrated that the relaxation functions can be precisely reproduced from the calculated distribution functions.

Full waveform inversion by objective functions with power and integral (지수 및 적분을 포함한 목적함수에 의한 파형역산)

  • Ha, Wan-Soo;Pyun, Suk-Joon;Shin, Chang-Soo
    • 한국지구물리탐사학회:학술대회논문집
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    • 2007.06a
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    • pp.130-134
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    • 2007
  • Classical full waveform inversion for velocity estimation defines the objective function as the $l^2$ -norm of differences between the modeled and the observed wavefields. Although widely used, the results of this method have been less than satisfactory. A moderate improvement of this method is to define the objective function as the $l^2$ -norm of differences between the logarithms of the modeled and observed wavefields. In this paper we propose new objective functions of waveform inversion. They produce better results in sub-salt imaging than those of the classical and the logarithmic objective functions. One objective function defines the residual as the difference between $L^{th}$ power of the modeled wavefields and that of the observed wavefields. Another defines the residual as the difference between the integral of the $L^{th}$ power of the modeled wavefields and that of the observed wavefields. We apply these new objective functions to the synthetic SEG/EAGE salt model, and show that our new waveform inversion algorithms provide more accurate results than those of the classical and logarithmic waveform inversion methods.

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Adaptive Logarithmic Increase Congestion Control Algorithm for Satellite Networks

  • Shin, Minsu;Park, Mankyu;Oh, Deockgil;Kim, Byungchul;Lee, Jaeyong
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.8
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    • pp.2796-2813
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    • 2014
  • This paper presents a new algorithm called the adaptive logarithmic increase and adaptive decrease algorithm (A-LIAD), which mainly addresses the Round-Trip Time (RTT) fairness problem in satellite networks with a very high propagation delay as an alternative to the current TCP congestion control algorithm. We defined a new increasing function in the fashion of a logarithm depending on the increasing factor ${\alpha}$, which is different from the other logarithmic increase algorithm adopting a fixed value of ${\alpha}$ = 2 leading to a binary increase. In A-LIAD, the ${\alpha}$ value is derived in the RTT function through the analysis. With the modification of the increasing function applied for the congestion avoidance phase, a hybrid scheme is also presented for the slow start phase. From this hybrid scheme, we can avoid an overshooting problem during a slow start phase even without a SACK option. To verify the feasibility of the algorithm for deployment in a high-speed and long-distance network, several aspects are evaluated through an NS-2 simulation. We performed simulations for intra- and interfairness as well as utilization in different conditions of varying RTT, bandwidth, and PER. From these simulations, we showed that although A-LIAD is not the best in all aspects, it provides a competitive performance in almost all aspects, especially in the start-up and packet loss impact, and thus can be an alternative TCP congestion control algorithm for high BDP networks including a satellite network.

Exploring Opportunities for Mathematical Modeling in Korean High School Textbooks: An Analysis of Exponential and Logarithmic Function Tasks

  • Hyun Joo Song;Yeonseok Ka;Jihyun Hwang
    • Research in Mathematical Education
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    • v.26 no.3
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    • pp.253-270
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    • 2023
  • This study aims to investigate the extent to which Korean high school textbooks incorporate opportunities for students to engage in the mathematical modeling process through tasks related to exponential and logarithmic functions. The tasks in three textbooks were analyzed based on the actions required for each stage in the mathematical modeling process, which includes identifying essential variables, formulating models, performing operations, interpreting results, and validating the outcomes. The study identified 324 units across the three textbooks, and the reliability coefficient was 0.869, indicating a high level of agreement in the coding process. The analysis revealed that the distribution of tasks requiring engagement in each of the five stages was similar in all three textbooks, reflecting the 2015 revised curriculum and national curriculum system. Among the 324 analyzed tasks, the highest proportion of the units required performing operations found in the mathematical modeling process. The findings suggest a need to include high-quality tasks that allow students to experience the entire process of mathematical modeling and to acknowledge the limitations of textbooks in providing appropriate opportunities for mathematical modeling with a heavy emphasis on performing operations. These results provide implications for the development of mathematical modeling activities and the reconstruction of textbook tasks in school mathematics, emphasizing the need to enhance opportunities for students to engage in mathematical modeling tasks and for teachers to provide support for students in the tasks.