• Title/Summary/Keyword: limit function

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Error propagation effects for explicit pseudodynamic algorithms

  • Chang, Shuenn-Yih
    • Structural Engineering and Mechanics
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    • v.10 no.2
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    • pp.157-164
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    • 2000
  • This paper discusses the error propagation characteristics of the Newmark explicit method, modified Newmark explicit method and ${\alpha}$-function dissipative explicit method in pseudodynamic tests. The Newmark explicit method is non-dissipative while the ${\alpha}$-function dissipative explicit method and the modified Newmark explicit method are dissipative and can eliminate the spurious participation of high frequency responses. In addition, error propagation analysis shows that the modified Newmark explicit method and the ${\alpha}$-function dissipative explicit method possess much better error propagation properties when compared to the Newmark explicit method. The major disadvantages of the modified Newmark explicit method are the positive lower stability limit and undesired numerical dissipation. Thus, the ${\alpha}$-function dissipative explicit method might be the most appropriate explicit pseudodynamic algorithm.

BOUNDS OF HANKEL DETERMINANTS FOR ANALYTIC FUNCTION

  • Ornek, Bulent Nafi
    • Korean Journal of Mathematics
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    • v.28 no.4
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    • pp.699-715
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    • 2020
  • In this paper, we give estimates of the Hankel determinant H2(1) in a novel class 𝓝 (𝜀) of analytical functions in the unit disc. In addition, the relation between the Fekete-Szegö function H2(1) and the module of the angular derivative of the analytical function p(z) at a boundary point b of the unit disk will be given. In this association, the coefficients in the Hankel determinant b2, b3 and b4 will be taken into consideration. Moreover, in a class of analytic functions on the unit disc, assuming the existence of angular limit on the boundary point, the estimations below of the modulus of angular derivative have been obtained.

Proposing Effective Regularization Terms for Improvement of WGAN (WGAN의 성능개선을 위한 효과적인 정칙항 제안)

  • Hahn, Hee Il
    • Journal of Korea Multimedia Society
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    • v.24 no.1
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    • pp.13-20
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    • 2021
  • A Wasserstein GAN(WGAN), optimum in terms of minimizing Wasserstein distance, still suffers from inconsistent convergence or unexpected output due to inherent learning instability. It is widely known some kinds of restriction on the discriminative function should be considered to solve such problems, which implies the importance of Lipschitz continuity. Unfortunately, there are few known methods to satisfactorily maintain the Lipschitz continuity of the discriminative function. In this paper we propose techniques to stably maintain the Lipschitz continuity of the discriminative function by adding effective regularization terms to the objective function, which limit the magnitude of the gradient vectors of the discriminator to one or less. Extensive experiments are conducted to evaluate the performance of the proposed techniques, which shows the single-sided penalty improves convergence compared with the gradient penalty at the early learning process, while the proposed additional penalty increases inception scores by 0.18 after 100,000 number of learning.

THE LUMINOSITY FUNCTION AND INITIAL MASS FUNCTION FOR THE PLEIADES CLUSTER

  • LEE SEE WOO;SUNG HWANKYUNG
    • Journal of The Korean Astronomical Society
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    • v.28 no.1
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    • pp.45-59
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    • 1995
  • In the best observed Pleiades cluster, the luminosity function(LF) and mass function(MF) for main sequence(MS) stars extended to $Mv{\approx}15.5(V{\approx}21)$ are very similar to the initial luminosity function(ILF) and initial mass function(IMF) for field stars in the solar neighborhood showing a bump at log $m{\simeq}-0.05$ and a dip at log $m{\simeq}-0.12$. This dip is equivalent to the Wielen dip appearing in the LF for the field stars. The occurence of these bump and dip is independent of adopted mass-luminosity relation(MLR) . and their characteristics could be explained by a time-dependent bimodal IMF. The model with this IMF gives a total cluster mass of $\~700M_\bigodot,\;\~25$ brown dwarfs and $\~3$ white dwarfs if the upper mass limit of progenitor of white dwarf is greater than $4.5M_\bigodot$. The cluster age on the basis of LF for brightest stars is given by $\~8\times10^7yr$ and all stars in the cluster lie along the single age sequence in the C-M diagram without showing a large dispersion from the sequence.

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A Scheduler and Scheduling Algorithm for Time Slot Assignment based on Wavelength (파장 단위의 Time Solt 할당을 위한 스케줄러 및 스케줄링 알고리즘)

  • Kim Kyoung-Mok;Oh Young-Hwan
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.1B
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    • pp.1-7
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    • 2004
  • Increase of internet users and new type of applied traffic such as game, news, distributed computing, online image conference, and real time audio and video have leaded to demand for more bandwidth for each application. This algorithm represents a complex optical exchanger having typical wavelength switching function and time-slotted transmission function. Performance assessment of the proposed OXC (Optical Cross connect) sttucture defines LFS (Limit Frame Size) and VFS (Variable Frame Size) for classification by packet type and calculates the channel effect and loss probability depending the demanded bandwidth by access node increase. Optical exchanger in this type of structure can guarantee future network expansion as well as decrease of frame collision resulted from node increase.

Torque Sharing Function of SRM for Torque Ripple Reduction in Commutation Region (커뮤테이션 구간의 토크리플 저감을 위한 SRM의 토크 분배 함수 기법)

  • Kim, Tae-Hyoung;Wang, Huijun;Lee, Dong-Hee;Ahn, Jin-Woo
    • Proceedings of the KIPE Conference
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    • 2007.11a
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    • pp.148-150
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    • 2007
  • A novel torque sharing function (TSF) is presented. To improve efficiency and to reduce torque ripple in commutation region, only a phase torque under commutation is regulated to produce a uniform torque. And the torque developed by the other phase remains with the previous state under a current limit of the motor and drive. If the minimum change of a phase torque reference can not satisfy the total reference torque, two-phase changing mode is used. Since a phase torque is constant and the other phase torque is changed at each rotor position, total torque error can be reduced within a phase torque error limit. And the total torque error is dependent on the change of phase torque. To consider non-linear torque characteristics and to suppress a tail current at the end of commutation region, the incoming phase current is changed to torque increasing direction, but the outgoing phase current is changed to torque decreasing direction. So, the torque sharing of the outgoing phase and incoming phase can be smoothly changed with a minimum current cross over. The proposed control scheme is verified by some computer simulations and experimental results.

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Direct Torque Control Scheme of Switched Reluctance Motor using Novel Torque Sharing Function (토크분배함수를 이용한 SRM의 적접토크제어기법)

  • Ahn, Jin-Woo;Lee, Dong-Hee;Kim, Tae-Hyoung;Liang, Jianing
    • Proceedings of the KIEE Conference
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    • 2007.10c
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    • pp.138-140
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    • 2007
  • A novel non-linear logical torque sharing function (TSF) is presented. To improve efficiency and to reduce torque ripple in commutation region, only a phase torque under commutation is regulated to produce a uniform torque. And the torque developed by the other phase remains with the previous state under a current limit of the motor and drive. If the minimum change of a phase torque reference can not satisfy the total reference torque, two-phase changing mode is used. Since a phase torque is constant and the other phase torque is changed at each rotor position, total torque error can be reduced within a phase torque error limit. And the total torque error is dependent on the change of phase torque. To consider non-linear torque characteristics and to suppress a tail current at the end of commutation region, the incoming phase current is changed to torque increasing direction, but the outgoing phase current is changed to torque decreasing direction. So, the torque sharing of the outgoing phase and incoming phase can be smoothly changed with a minimum current cross over. The proposed control scheme is verified by some computer simulations and experimental results.

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Capacity Design of Lithium Ion Battery Based on the Characteristics of Materials (${\cdot}$부극 재료의 특성에 따른 리튬이온전지의 용량설계)

  • Moon Seong-In;Doh Chil-Hoon;Yun Seong-Kyu;Yum Duk-Hyung
    • 한국전기화학회:학술대회논문집
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    • 1998.12a
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    • pp.7-27
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    • 1998
  • In order to design capacity of lithium ion battery, some calculations were carried out based on the characteristics of materials by the given battery shape and dimension. The principle of design was built by the interpretation of the correlation of material, electrochemical and battery factors. Parameters of materials are fundamental physical properties of constituent such as cathode. separator, anode, current collectors and electrolyte. Electrochemical factor includes potential pattern as a function of specific capacity, specific discharge capacity(or initial irreversible specific capacity or Ah efficiency) as a function of specific charge capacity and material balancing. Parameters of battery are dimension, construction hardware and performance. Battery capacity was simulated for a lithium cobalt dioxide as cathode and a hard carbon as anode to achieve 1100 mAh for the charge limit voltage of 4.2V, the weight ratio(+/-) of 2.4 and ICR18650. A fabricated test cell (ICR18650) which have weight ratio(+/-) of 2.4 discharged to 1093 mAh for the charge limit voltage of 4.2V. The sequential discharge capacity show good correspondence with designed capacity.

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Fast Algorithm for Constructing Wavelet Packet Bases Yielding the Maximum Coding Gain (최대 부호화 이득을 내는 웨이블릿 기저를 구축하기 위한 고속 알고리즘)

  • Kim, Won-Ha
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.38 no.2
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    • pp.16-26
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    • 2001
  • This paper develops the fast dynamic programming technique to construct the subband structure yielding the maximum coding gain for given filter bases and a given limit of implementation complexity. We first derive the unified coding gain which can be applied to non-orthogonal filter basis as well as orthogonal filter basis and to arbitrary subband decompositions. Then, we verify that the unified coding gains in real systems are monotonically increasing function for the implementation complexities which are proportional to the number of subbands. By using this phenomenon, the implementation complexity and the coding gain are treated in the same way as the rate and distortion function. This makes it possible to use the Lagrangian multiplier method for finding the optimal subband decomposition producing the maximum coding gain [or a given limit of implementation complexity.

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Reliability-based Flaw Assessment of a Mooring Chain Using FORM and SORM (FORM 및 SORM을 이용한 무어링 체인의 신뢰성 기반 결함평가)

  • Lee, Choong-Hyun;Kim, Yooil
    • Journal of the Society of Naval Architects of Korea
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    • v.54 no.5
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    • pp.430-438
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    • 2017
  • This study presents the reliability-based flaw assessment for the crack in the mooring chain of a floating type offshore structure. BSI(British Standard Institution) flaw assessment procedure BS7910 was combined with first- and second-order reliability method (FORM, SORM) so that the acceptance of a given flaw can be assessed considering the uncertainties of parameters that play important role in the flaw assessment. Considering the probabilistic nature of the crack size and long-term distribution of the stresses acting on the crack in mooring chain, the failure probability was calculated using FORM and SORM. To check the validity of the FORM and SORM, Monte Carlo simulation was also carried out to derive the true limit state function and compared with the results of FORM and SORM.