• Title/Summary/Keyword: Series Expansion

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Inhibitory Effects of of Tacrine Derivatives on Activity of Prostanoids Biosynthesis Prostaglandin Biosynthesis: A Potential Use for Degenerative Brain Disease Treatment (퇴행성 뇌질환 치료제 Tacrine 유도체의 프로스타글란딘 생합성 억제효과)

  • Shin Hea Soon
    • YAKHAK HOEJI
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    • v.49 no.1
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    • pp.103-108
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    • 2005
  • Tacrine analogues for degenerative brain disease treatments have been designed. A series of diazaanthrine derivatives as novel analogues of tacrine has been prepared through the alkyl substitution and the ring expansion. They were expected to retain anti-inflammatory activity by inhibition of prostaglandin production with reduction of side effect as the selective prostaglandin synthase inhibitor. Prostaglandin synthase expression is associated with the deposition of beta-amyloid protein in neuritic plaques in brain inflammation. Therefore selective prostaglandin synthase blockade is important for the prevention and treatment of alzheimer's disease. To evaluate inhibitory effect of prostaglandin synthase, synthetic tacrine derivatives were screened with accumulation of prostaglandin biosynthesis by lipopolysaccharide in aspirin-treated murine macrophage cell. Most of synthetic compounds have shown significant prostaglandin synthase activities in vitro screening with $84.3{\sim}33.6\%$ inhibition of the prostaglandin $E_2$ production at $10\;{\mu}g/ml$.

Estimation of the exponential distribution based on multiply Type I hybrid censored sample

  • Lee, Kyeongjun;Sun, Hokeun;Cho, Youngseuk
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.3
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    • pp.633-641
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    • 2014
  • The exponential distibution is one of the most popular distributions in analyzing the lifetime data. In this paper, we propose multiply Type I hybrid censoring. And this paper presents the statistical inference on the scale parameter for the exponential distribution when samples are multiply Type I hybrid censoring. The scale parameter is estimated by approximate maximum likelihood estimation methods using two different Taylor series expansion types ($AMLE_I$, $AMLE_{II}$). We also obtain the maximum likelihood estimator (MLE) of the scale parameter ${\sigma}$ under the proposed multiply Type I hybrid censored samples. We compare the estimators in the sense of the root mean square error (RMSE). The simulation procedure is repeated 10,000 times for the sample size n=20 and 40 and various censored schemes. The $AMLE_{II}$ is better than $AMLE_I$ in the sense of the RMSE.

Estimation of the half-logistic distribution based on multiply Type I hybrid censored sample

  • Shin, Hyejung;Kim, Jungdae;Lee, Changsoo
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.6
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    • pp.1581-1589
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    • 2014
  • In this paper, we consider maximum likelihood estimators of the location and scale parameters for the half-logistic distribution when samples are multiply Type I hybrid censored. The scale parameter is estimated by approximate maximum likelihood estimation methods using two different Taylor series expansion types ($\hat{\sigma}_I$, $\hat{\sigma}_{II}$). We compare the estimators in the sense of the root mean square error (RMSE). The simulation procedure is repeated 10,000 times for the sample size n=20 and 40 and various censored schemes. The approximate MLE of the second type is better than that of the first type in the sense of the RMSE. Further an illustrative example with the real data is presented.

Analysis of Thermal Crown of Working Roll in Hot Strip Rolling (열간 압연하에서 작업롤의 Thermal Crown에 관한 연구)

  • Cho, Jin
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.8
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    • pp.1451-1457
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    • 1992
  • In hot strip rolling, the thickness of strip cannot be retained uniform by several irregular parameters. It has been shown that the load distribution can affect only a small fraction of the excess strip crown, whereas the thermal effects of working roll are the major reason on large changes in the strip center crown during hot rolling. In this study, the temperature distribution of working roll is represented by fourier series expansion. The analytical solution of the resulting thermo-elasticity problem is obtained by love's strain function. The results which are compared with those of the finite element method show good agreements.

On the Dynamic Response of Laminated Circular Cylindrical Shells under Dynamic Loads (동하중을 받는 복합재료 원통셸의 동적거동 해석)

  • 이영신;이기두
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.11
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    • pp.2684-2693
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    • 1993
  • The free vibration and dynamic response of cross-ply for CFRP and GFRP laminated circular cylindrical shells under dynamic loadings are investigated by using the first-order shear deformation shell theory. The modal analysis technique is used to develop the analytical solutions of simply supported cylindrical shells under dynamic load. The analysis is based on an expansion of the loads, displacements and rotations in a double Fourier series which satisfies the and boundary conditions of simply support. Analytical solution is assumed to be separable into a function of time and a function of position. In this paper, the considered load forces are step pulse, sine pulse, triangular(1, 2, 3) pulse and exponential pulse. The solution for a given loading pulse can be found by involving the convolution integral. The results show that the dynamic response are governed primarily by the natural period of the structure.

Theoretical Computation of the Capacitance of an Asymmetric Coplanar Waveguide

  • Song, Chan Mi;Kwon, Gina;Lee, Jong Min;Lee, Kang-Yoon;Yang, Youngoo;Hwang, Keum Cheol
    • Journal of Electrical Engineering and Technology
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    • v.13 no.1
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    • pp.393-399
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    • 2018
  • An electrostatic boundary-value problem of a dielectric-wedge-backed, double-slotted conducting wedge is investigated to analyze an asymmetric coplanar waveguide with an infinite dielectric thickness using the Mellin transform and a mode-matching method. Our theoretical solution based on eigenfunction expansion and residue calculus is a rigorous and fast-convergent series form. Numerical computations are conducted to evaluate the potential field, capacitance, and characteristic impedance for various structures of the asymmetric coplanar waveguide. The computed results show good agreement with the simulated results.

The Analysis of the Inductance Profile in the Single Phase SRM for Blower (송풍기 구동용 단상 SRM의 인덕턴스 해석)

  • Lee Jong-Han;Lee Eun-Woong;Kim Yong-Heon;Ku Tae-Man
    • Proceedings of the KIEE Conference
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    • summer
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    • pp.1025-1027
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    • 2004
  • Recently, the Single phase SRM has been researched and developed in many appliances with various types. This paper presents a theoretical representation of the phase inductance of a single phase SRM, as function of position and current, taking into account the non-linearity of the magnetic circuit. The method is based on the Fourier series expansion. the theoretical expressions for the calculation of instantaneous phase inductance, flux linkage, coenergy and electromagnetic torque as a function of rotor position and winding currents are derived. And it is compared with the results of the finite element analysis.

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Overmodulation Operation of SVM for NPC Type 3-Level Inverter (NPC형 3레벨 인버터의 공간벡터 과변조운전)

  • Lee, Jae-Moon;Choi, Jae-Ho
    • The Transactions of the Korean Institute of Power Electronics
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    • v.13 no.1
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    • pp.22-32
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    • 2008
  • This paper proposes a linearization technique for the 3-level NPC type inverter, which increases the linear control range of Inverter up to the one-pulse inverter. The overmodulation range is divided into two modes depending on the Modulation Index, MI. In overmodulation region I, the reference angles are derived from the fourier series expansion of the reference voltage corresponding to the MI. In overmodulation region II, the holding angles are also derived in the same way. Therefore, it is possible to obtain the linear control and the maximized utilization of PWM inverter output voltage.

Simple Space Vector PWM Scheme for 3-level NPC Inverters Including the Overmodulation Region

  • Lee, Dong-Myung;Jung, Jin-Woo;Kwa, Sang-Shin
    • Journal of Power Electronics
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    • v.11 no.5
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    • pp.688-696
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    • 2011
  • This paper proposes a simple space vector PWM (SVPWM) scheme including overmodulation operation for 3-level NPC (Neutral Point Clamped) Inverters. The proposed scheme features a simple decision and calculation procedure for determining switching times in the overmodulation range by utilizing the duty calculation method used in 2-level inverters and the minimum phase error projection method widely employed in motor drive systems. The proposed scheme does not need to detect the angle of the reference vector or calculate trigonometric functions to determine the magnitude of the voltage vector. The magnitude of the angle of the new reference voltage vector is decided in advance with the help of the Fourier Series Expansion to extend the linearity of the output voltage of 3-level inverters in the overmodulation region. Experimental results demonstrate the validity of the proposed SVPWM scheme including overmodulation operation for 3-level NPC inverters.

Design of Torque Servo for Impedance Control of Double Vane Rotary Hydraulic Actuator System (더블 베인 회전형 유압 구동시스템의 임피던스 제어를 위한 토크 서보 설계)

  • Kim, Seon-Min;Choi, Young-Jin;Chung, Wan-Kyun
    • The Journal of Korea Robotics Society
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    • v.5 no.2
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    • pp.160-168
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    • 2010
  • In order to achieve a force controller with high performance, an accurate torque servo is required. However, the precise torque servo for a double vane rotary actuator system has not been developed till now, due to many nonlinear characteristics and system parameter variations. In this paper, the torque servo structure for the double vane rotary actuator system is proposed based on the torque model. Nonlinear equations are set up using dynamics of the double vane rotary hydraulic actuator system. Then, to derive the torque model, the nonlinear equations are linearized using a taylor series expansion. Both effectiveness and performance of the design of torque servo are verified by torque servo experiments and applying the suggested torque model to an impedance controller.