• Title/Summary/Keyword: generating functions

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CERTAIN NEW GENERATING RELATIONS FOR PRODUCTS OF TWO LAGUERRE POLYNOMIALS

  • CHOI, JUNESANG;RATHIE, ARJUN KUMAR
    • Communications of the Korean Mathematical Society
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    • v.30 no.3
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    • pp.191-200
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    • 2015
  • Generating functions play an important role in the investigation of various useful properties of the sequences which they generate. Exton [13] presented a very general double generating relation involving products of two Laguerre polynomials. Motivated essentially by Exton's derivation [13], the authors aim to show how one can obtain nineteen new generating relations associated with products of two Laguerre polynomials in the form of a single result. We also consider some interesting and potentially useful special cases of our main findings.

A Resonant Type Inverter Power Conversion Equipment for Plasma Generator (플라즈마 발생장치용 공진형 인버터 전력변환장치)

  • Kim, Ju-Yong;Suh, Ki-Young;Mun, Sang-Pil;Jung, Jang-Gun;Kim, Young-Mun
    • Proceedings of the KIEE Conference
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    • 2003.07e
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    • pp.162-165
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    • 2003
  • A resonant type voltage source and power device and a control method using Pulse Density Modulation(PDM) power control and Pulse Width Modulation(PWM)voltage control for plasma sterilization are described. For the stability of discharge in the generating tube, it is desirable that the peak apply voltage is constant. The PDM power control is employed for sustaining the voltage constant at any generating tube input power. Moreover, to avoid the influence of input AC voltage fluctuation etc., PWM voltage control with generating tube peak voltage feedback is used. Both functions were confirmed by the experiment with inverter and generating tube. The effect of input synchronous PDM method for input current stabilizing is confirmed also.

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ON 2-GENERATING INDEX OF FINITE DIMENSIONAL LEFT-SYMMETRIC ALGEBRAS

  • Yang, Xiaomei;Zhu, Fuhai
    • Journal of the Korean Mathematical Society
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    • v.54 no.5
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    • pp.1537-1556
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    • 2017
  • In this paper, we introduce the notion of generating index ${\mathcal{I}}_1(A)$ (2-generating index ${\mathcal{I}}_2(A)$, resp.) of a left-symmetric algebra A, which is the maximum of the dimensions of the subalgebras generated by any element (any two elements, resp.). We give a classification of left-symmetric algebras with ${\mathcal{I}}_1(A)=1$ and ${\mathcal{I}}_2(A)=2$, 3 resp., and show that all such algebras can be constructed by linear and bilinear functions. Such algebras can be regarded as a generalization of those relating to the integrable (generalized) Burgers equation.

The output characteristics of resonant type inverter for ozone generator (오존 발생기용 공진형 인버터의 출력특성)

  • Kang, W.J.;Lee, H.W.;Suh, K.Y.;Kwon, S.K.;Mun, S.P.
    • Proceedings of the KIEE Conference
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    • 2002.04a
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    • pp.139-142
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    • 2002
  • A resonant type voltage source and power device and a control method using Pulse Density Modulation(PDM) power control and Pulse Width Modulation(PWM) voltage control for Ozone Generator are described. For the stability of discharge in the generating tube, it is desirable that the peak apply voltage is constant. The PDM power control is employed for sustaining the voltage constant at any generating tube input power. Moreover, to avoid the influence of input AC voltage fluctuation etc., PWM voltage control with generating tube peak voltage feedback is used. Both functions were confirmed by the experiment with 6.5[kHz], 1.8[kW] inverter and generating tube. The effect of input synchronous PDM method for input current stabilizing is confirmed also.

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Generating efficiency and NOx emissions of a gas engine generator fuelled with biogas (바이오가스를 이용한 가스엔진 발전기의 발전효율 및 질소산화물 배출 특성)

  • Lee, Kyung-Taek;Cha, Hyo-Seok;Chun, Kwang-Min;Song, Soon-Ho
    • 한국신재생에너지학회:학술대회논문집
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    • 2009.11a
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    • pp.306-309
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    • 2009
  • Concern for new and renewable energy is growing globally. Biogas is one of the alternative fuels and consists of methane and carbon dioxide. It is difficult to achieve efficient engine operation due to a lower heating value of biogas compared to that of natural gas. In order to improve generating efficiency, finding an optimum point of ignition timing and excess air ratio is important. From this fact, generating efficiency and pollutant emissions of 2300cc gas engine generator operated by biogas as functions of ignition timings and excess air ratios were investigated in this study. As a test result, the generating efficiency of the gas engine generator using biogas was 27.34 % in the condition of the BTDC of $16^{\circ}$ and the excess air ratio of 1.4.

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A study on power system for plasma sterilization (플라즈마 살균용 전원장치에 관한 연구)

  • Kang, W.J.;Kim, Y.M.;Mun, S.P.;Kwon, S.K.;Suh, K.Y.
    • Proceedings of the KIEE Conference
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    • 2002.06a
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    • pp.52-54
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    • 2002
  • A resonant type voltage source and power device and a control method using Pulse Density Modulation(PDM) power control and Pulse Width Modulation(PWM) voltage control for plasma sterilization are described, For the stability of discharge in the generating tube, it is desirable that the peak apply voltage is constant. The PDM power control is employed for sustaining the voltage constant at any generating tube input power. Moreover, to avoid the influence of input AC voltage fluctuation etc.. PWM voltage control with generating tube peak voltage feedback is used. Both functions were confirmed by the experiment with 6.5[kHz], 1.8[kW] inverter and generating tube. The effect of input synchronous PDM method for input current stabilizing is confirmed also.

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Resonance inverter power system for plasma sterilization effective improvement (플라즈마 살균 효과 개선을 위한 공진용 인버터 전원 시스템)

  • Kim, J.Y.;Mun, S.P.;Kim, J.S.;Kim, Y.M.;Suh, K.Y.
    • Proceedings of the KIEE Conference
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    • 2003.07b
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    • pp.1172-1174
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    • 2003
  • A resonant type voltage source and power device and a control method using Pulse Density Modulation(PDM) power control and Pulse Width Modulation(PWM)voltage control for plasma sterilization are described. For the stability of discharge in the generating tube, it is desirable that the peak apply voltage is constant. The PDM power control is employed for sustaining the voltage constant at any generating tube input power. Moreover, to avoid the influence of input AC voltage fluctuation etc., PWM voltage control with generating tube peak voltage feedback is used. Both functions were confirmed by the experiment with inverter and generating tube. The effect of input synchronous PDM method for input current stabilizing is confirmed also.

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Resonance Inverter Power System for Sterilization Effective Improvement of Plasma (플라즈마 살균 효과 향상을 위한 공전형 전원 시스템)

  • 김주용;문상필;정장근;이현우;서기영
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2003.11a
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    • pp.397-401
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    • 2003
  • A resonant type voltage source and power device and a control method using Pulse Density Modulation(PDM) power control and Pulse Width Modulation(PWM) voltage control for plasma sterilization are described. For the stability of discharge in the generating tube, it is desirable that the peak apply voltage is constant The PDM power control is employed for sustaining the voltage constant at any generating tube input power. Moreover, to avoid the influence of input AC voltage fluctuation etc., PWM voltage control with generating tube peak voltage feedback is used. Both functions were confirmed by the experiment with 6.5[㎑], 1.8[㎾] inverter and generating tube. The effect of input synchronous PDM method for input current stabilizing is confirmed also.

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