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ON ROGERS-RAMANUJAN TYPE IDENTITIES FOR OVERPARTITIONS AND GENERALIZED LATTICE PATHS

  • Goyal, Megha
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.449-467
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    • 2018
  • In this paper we introduce and study the lattice paths for which the horizontal step is allowed at height $h{\geq}0$, $h{\in}{\mathbb{Z}}$. By doing so these paths generalize the heavily studied weighted lattice paths that consist of horizontal steps allowed at height zero only. Six q-series identities of Rogers-Ramanujan type are studied combinatorially using these generalized lattice paths. The results are further extended by using (n + t)-color overpartitions. Finally, we will establish that there are certain equinumerous families of (n + t)-color overpartitions and the generalized lattice paths.

Transient Characteristics of Capacitor Run Single-Phase Line-Start Synchronous Motors (콘덴서 구동형 단상 유도형 동기전동기의 과도특성)

  • Kang, Gyu-Hong;Lee, Sun-Kwon;Hong, Jung-Pyo;Kim, Gyu-Tak
    • Proceedings of the KIEE Conference
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    • 2001.07b
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    • pp.831-833
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    • 2001
  • Line-start motor has ability to start itself without using other methods, so, it is important to predict starting performance accurately. In this paper, the starting characteristics of single-phase capacitor-start, capacitor-run line-start motor was calculated by combination of d-q axis voltage equations and mechanical dynamic equations. D-q axis inductances of this machine varied with current phase angle and amplitude are considered. The validity of analysis method verified by comparing to test results.

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The Incomplete Lauricella Functions of Several Variables and Associated Properties and Formulas

  • Choi, Junesang;Parmar, Rakesh K.;Srivastava, H.M.
    • Kyungpook Mathematical Journal
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    • v.58 no.1
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    • pp.19-35
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    • 2018
  • Motivated mainly by certain interesting recent extensions of the generalized hypergeometric function [30] and the second Appell function [6], we introduce here the incomplete Lauricella functions ${\gamma}^{(n)}_A$ and ${\Gamma}^{(n)}_A$ of n variables. We then systematically investigate several properties of each of these incomplete Lauricella functions including, for example, their various integral representations, finite summation formulas, transformation and derivative formulas, and so on. We provide relevant connections of some of the special cases of the main results presented here with known identities. Several potential areas of application of the incomplete hypergeometric functions in one and more variables are also pointed out.

The Research on Development of Flexible Linear Shaped Charge (유연성 선형 성형작약 개발에 관한 연구)

  • Park, Byung-Chan;Chang, Il-Ho;Lee, Woo-Jin;Jeon, Jin-Cheol
    • Journal of the Korea Institute of Military Science and Technology
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    • v.12 no.3
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    • pp.378-387
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    • 2009
  • The shaped charge consists of the cast or pressed explosive and the metal liner. The pressure formed in detonation wave is so high that the liner is collapsed and the jet of high temperature, pressure and velocity is produced. The jet penetrates the target. In this paper, the simulation for optimization of flexible linear shaped charge(FLSC) was carried out by AUTODYNE program. Based on the results of simulation, we made a prototype of FLSC and evaluated penetration performance, flexibility and its application. The test result of prototype was compared with that of simulation.

Improvement of Current Controller Characteristics of Interior Permanent Magnet Synchronous Motor for Electric Vehicle (전기자동차용 매입형 영구자석 동기전동기의 전류제어기 특성 개선)

  • Park, Jung-Woo;Kim, Jong-Moo;Ku, Dae-Hyun;Kim, Heung-Geun
    • Proceedings of the KIEE Conference
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    • 1999.07f
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    • pp.2526-2528
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    • 1999
  • Parameters of equivalent circuit of IPMSM are varied according to current magnitude and current phase angle. Especially, Parameter variation of IPMSM for an electric vehicle(EV) is critical. Because current magnitude is very large. and current phase angle range also is wide. So, variation characteristics of $L_d$ and $L_q$ of the IPMSM are analyzed and verified through experiments. And then new parameter estimator of $L_d$ and $L_q$ that is constructed by neural network technique is suggested Using numerical method, the advanced characteristics of current controller of vector control algorithm is verified.

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A study on the characteristic analysis of the modified inverse chebyshev low-pass function (변형된 inverse chebyshev 저역통과 함수의 특성 해석에 관한 연구)

  • 최석우
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.34C no.5
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    • pp.33-42
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    • 1997
  • In this paper, the modified inverse chebyshev low-pass function is analyzed in the frequency domain, time domain, and sensitivity characteristics as compared with the classical inverse chebyshev function. Unlike the classical function, the modified function exhibits progressively diminishing ripples in the stopband. So, the modified function has a great attenuation throughout the stopband except at the vicinity of a stop frequency and can be realizable in the passive doubly-terminated ladder network for the even order. The poles of the modified function move towards real axis by the effect of diminishing ripples. Thus the pole-Q, which is one of the valuable measurements to estimage the function characteristics, is reduced without increasing order. In the frequency and can be realizable in the passive doubly-terminated ladder network to examine the magnitude and pole-Q sensitivities.

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Compensation of Time Delay in Induction Motor Vector Control System Using DQ Transformation (유도전동기 벡터제어 시스템에서 DQ변환을 이용한 시간지연 보상)

  • 최병태;권우현;박철우
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.12
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    • pp.1001-1008
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    • 2003
  • A time-delay compensation method for vector control system is proposed that can compensate for voltage and current distortions resulting from a time delay in the overall system due to the low pass filter, hysteresis control inverter, microprocessor program computation time, and so on. The proposed scheme estimates the time delay using the difference between the Q-axis stator current command and the time-delayed actual Q-axis stator current in a synchronous reference frame, then compensates the time delay in the voltage and current using the angular displacement of a DQ transformation. Accordingly, the proposed scheme can accurately compensate for the time delay related to the overall system, thereby significantly improving the performance of the vector control system, as verified by simulation and experiment.

A Study on the Check Point of T.Q.C. (T.Q.C.의 Check Point)

  • 김차리
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.2 no.2
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    • pp.83-91
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    • 1979
  • The purpose of this study is to analyze the direct relationship between doctors and number of patients to be treated by applying many kinds of I E's techniques. Generally, doctors in this research work both at OPD & IPD. Under the hospital manegement system that they are applying in, doctor's daily working schedules are instable because the numbers of OPD patients very daily. Therefore, the amount of time they spend for inward Patients are variable too. So the numbers of Patients have great influence to the whole hospital system management. In the first place, the author researched and analyzed a QC of administrative system. Tn the second place, the author carried out Work Sampling with a view for understanding quantity of a doctor's operation. The author suppose this research and analysis is one approach for improving systematic lay-out planning at outpatient waiting room where has many problems to be solved and suggest several process for improvement.

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고등학교 수학 교육과정에서 명제논리에 대한 연구

  • Lee, Sun-Hong;Park, Sang-Ho
    • East Asian mathematical journal
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    • v.23 no.3
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    • pp.313-326
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    • 2007
  • The purpose of education of propositional logic is to understand the basic structure of the mathematics and to improve the logical thinking in normal life. But in the seventh curriculum, some basic terms, for examples $\wedge$ and $\vee$, are not introduced, the proposition $p{\\rightarrow}q$ is not defined properly, and use the wrong term $\Rightarrow$ so that it is difficult to understand the propositional logic. In this paper, we present a suitable content for the propositional logic in high-school mathematical class. We also present a proper definition of the proposition $p{x}{\Rightarrow}q{x}$ without using the notation $\rightarrow$. We finally give proper definitions of necessary conditions, sufficient conditions, and necessary and sufficient conditions.

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Behavior Strategies of Robot Soccer Agent by Reinforcement Learning (강화 학습에 의한 로봇축구 에이전트 행동 전략)

  • Choe, So-Ra;Lee, Seung-Gwan;Lee, Young-Ah;Chung, Tae-Choong
    • Proceedings of the Korea Information Processing Society Conference
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    • 2005.11a
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    • pp.465-468
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    • 2005
  • 강화 학습이란 개체가 동적인 환경에서 시행착오를 통해 자신의 최적 행동을 찾아내는 기법이다. 특히 Q-learning과 같은 비(非)모델 기반의 강화학습은 사전에 환경에 대한 모델을 필요로 하지 않으며, 다양한 상태와 행동들을 충분히 경험한다면 최적의 행동 전략에 도달할 수 있으므로 여러 분야에 적용되고 있다. 본 논문에서는 로봇의 행동을 효율적으로 제어하기 위하여 Q-learning을 이용하였다. 로봇 축구 시스템은 공과 여러 대의 로봇이 시시각각 움직이는 시변 환경이므로 모델링이 상당히 복잡하다. 공을 골대 가까이 보내는 것이 로봇 축구의 목표지만 때로는 공을 무조건 골대 방향으로 보내는 것보다 더 효율적인 전략이 있을 수도 있다. 어떤 상황에서 어떤 행동을 하여야 장기적으로 보았을 때 더 우수한지 학습을 통해 로봇 스스로가 판단해가도록 시스템을 구현하고, 학습된 결과를 분석한다.

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