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A q-ANALOGUE OF $\omega-BERNOULLI$ NUMBERS AND THEIR APPLICATIONS

  • Son, Jin-Woo;Jang, Douk-Soo
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.399-412
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    • 2001
  • In this paper, we consider that the q-analogue of w$\omega-Bernoulli numbers\; B_i(\omega, q)$. And we calculate the sums of products of two q-analogue of $\omega-Bernoulli numbers B_i(\omega, q)$ in complex cases. From this result, we obtain the Euler type formulas of the Carlitz´s q-Bernoulli numbers $\beta_i(q)$ and q-Bernoulli numbers $B_i(q)$. And we also calculate the p-adic Stirling type series by the definition of $B_i(\omega, q)$ in p-adic cases.

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The Equivalent Circuit, The Graphically Calculating Method Of The Characteristics, And The Calculating Method By Determination Of Equivalent Circuit Parameters In Single Phase Induction Motor (단순상유도전동기의 등가회로와 도식적 특성산정법 및 정수결정에 의한 특성산정법)

  • Keung Yul Oh
    • 전기의세계
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    • v.22 no.1
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    • pp.42-51
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    • 1973
  • The contriving equivalent circuit of single phase induction motor which does not separate the primary leakage reactance and the secondary leakage reactance by the revolving field theory, and the graphically calculating method of the characteristics with T-type circle diagram of three phase induction motor which does not suppose the primary leakage reactance can be drawn up only by the no load test, the lock test, and measuring the resistance of stator winding are suggested in this paper. The method which can calculate the parameters of the equivalent circuit and the characteristics with no load test, lock test and measuring resistance of stator windings is suggested in this paper. Considered the exciting current in lock test, we could calculate very accurate characteristics of the single phase induction motor.

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Numerical Method for Computing the Resonant Frequencies and Q-factor in Microwave Dielectric Resonator

  • Kim, Nam-young;Yoo, Hojoon
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1997.04a
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    • pp.245-248
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    • 1997
  • The dielectric resonators(DRs) with dielectric properties are widely used in microwave integrated circuit(MICs) and monolithic microwave integrated circuits(MMICS). The variational method as numerical simulation scheme would be applied to calculate the resonant frequencies(fr) and Q-factors of microwave dielectric resonators. The dielectric resonator with a cylindrical “puck” structure of high dielectric material is modeled in this simulation. The parameters, such as the diameter, the height, and the dielectric constant of dielectric resonator, would determine the resonant frequency and the Q-factor. The relationship between these parameters would effect each other to evaluate the approximate resonant frequency. This simulation method by the variational formula is very effective to calculate fr, and Q-factor. in high frequency microwave dielectric resonator The error rate of the simulation results and the measured results would be considered to design the microwave dielectric resonators.

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Generation Forecast for Integrating Sihwa Tidal Power into Power Systems (시화 조력발전 접속에 따른 발전량 예측)

  • Kim, Kyu-Ho;Song, Kyung-Bin;Kwon, Seok-Kee;Kim, Tae-Hoon
    • Proceedings of the KIEE Conference
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    • 2006.11a
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    • pp.375-377
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    • 2006
  • This paper presents a method to calculate generation power for integrating Sihwa tidal power into power systems. The sea levels of 1 minute interval using cubic interpolation based on the forecasted levels of high and low water offered from Nori(National Oceanographic Research Institute) are calculated. If the sea level is greater than the lake level and the difference between sea level and lake level at high tide is over the default value, it begins to calculate the tidal power. It is seen that tidal power can supply power to demand side stably and economically from assessment of effect for integrating tidal power into power systems.

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A Study on the Approximate Equation to Calculate the Far-Field Radiation Characteristics of Linear Antennas (선형안테나 폭사특성의 원방게 근사식에 관한 연구)

  • Hur, Jung;Lee, Choong-Woong
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.8
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    • pp.1284-1288
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    • 1990
  • We proposed the equations which enable us to calculate more easily the far-field radiation characteristics fo linear antennas with arbitarary current distributions. We derived the equations as series forms by approximating the current distribution on antenna as piecewise sinusoidal functions. The solutions of the approximate equations approach the exact values with increasing number of segments, but we have noticed by several examples that only a few number of segments are enough for practical problems.

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The first application of modified neutron source multiplication method in subcriticality monitoring based on Monte Carlo

  • Wang, Wencong;Liu, Caixue;Huang, Liyuan
    • Nuclear Engineering and Technology
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    • v.52 no.3
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    • pp.477-484
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    • 2020
  • The control rod drive mechanism needs to be debugged after reactor fresh fuel loading. It is of great importance to monitor the subcriticality of this process accurately. A modified method was applied to the subcriticality monitoring process, in which only a single control rod cluster was fully withdrawn from the core. In order to correct the error in the results obtained by Neutron Source Multiplication Method, which is based on one point reactor model, Monte Carlo neutron transport code was employed to calculate the fission neutron distribution, the iterated fission probability and the neutron flux in the neutron detector. This article analyzed the effect of a coarse mesh and a fine mesh to tally fission neutron distributions, the iterated fission probability distributions and to calculate correction factors. The subcriticality before and after modification is compared with the subcriticality calculated by MCNP code. The modified results turn out to be closer to calculation. It's feasible to implement the modified NSM method in large local reactivity addition process using Monte Carlo code based on 3D model.

A Study on Algorithm for Travel Time Estimation using Restricted GPS Data (제한된 GPS정보를 활용한 통행 시간 추정 알고리즘에 관한 연구)

  • Yoo, Nam-Hyun
    • The Journal of the Korea institute of electronic communication sciences
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    • v.9 no.12
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    • pp.1373-1380
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    • 2014
  • In order to calculate accurate traffic and traffic speed, qualified and sufficient GPS data should be provided. However, it is difficult to provide accurate traffic information using restricted GPS data from probe vehicles because of communication costs. This paper developed a algorithm that recovers links omitted by restricted GPS data with topology information, and calculate traffic speed with original links and recovered links. T traffic information service of city with a new algorithm can provide more accurate traffic and traffic speed than the original system.

LINE EMISSION FROM THE MAGNETOSPHERE OF MAGNETIC CATACLYSMIC VARIABLES (MCV 자기구에서의 선방출)

  • KIM YONGGI
    • Publications of The Korean Astronomical Society
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    • v.15 no.spc1
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    • pp.113-118
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    • 2000
  • A magnetic cataclysmic variable has a rotating magnetic white dwarf which accretes matter from its late type companion. Kim & Beuermann (1995) presented a phenomenological model of the accretion from its surrounding structure e.g., a disk into the magnetosphere of the white dwarf, and presented results for the spin modulated X-ray spectrum and light curves. Using this model, we calculate the optical continuum and line emission which result from reprocessing of X-rays in the accretion stream within the magnetosphere. Penning (1985) suggested the observed spin-modulated radial-velocity variations might result from reprocession of X-rays in the disk. We, however, find the radiation can be originated from the magnetosphere accretion stream. We use the same geometrical model to calculate the optical and the X-ray behaviour. The results from the two wavelength bands are internally consistent. We conclude that this approach will increase the diagnostic accuracies of the results.

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Vibration Analysis of a Rotor considering Nonlinear Reaction of Hydrodynamic Bearing

  • Lee, Soo-Mok;Lim, Do-Hyeong;Bae, Jong-Gug;Yang, Bo-Suk
    • International Journal of Fluid Machinery and Systems
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    • v.2 no.3
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    • pp.254-259
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    • 2009
  • In this paper it was attempted to treat the hydrodynamic journal bearing as a time-based nonlinear reaction source in each step of rotor rotation in order to observe the bearing effect more realistically and accurately in stead of the conventional method of simple linearized stiffness and damping. Lubrication analysis based on finite element method is employed to calculate the hydrodynamic reaction of bearing and Newmark's method was used to calculate the rotor dynamics in the time domain. Simulation for an industrial electrical motor showed remarkable results with differences compared to those by the conventional method in the dynamic behavior of the rotor.

M-ary Multitrack Run-length Limited Codes for Optical Storage Systems (광기록저장장치를 위한 M-ary 다중트랙 RLL 코드)

    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.6A
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    • pp.888-893
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    • 1999
  • This paper introduces M-ary multitrack run-length (d.k) constrained codes for optical storage systems. We calculate capacities and densities of the codes. We have driven a general form of the state transition matrix for M-ary multitrack (d,k) codes. Using the largest eigenvalue of the transition matrix, we calculate the capacity and density. The capacity approaches to the limit with a small k constraint compared to single-track codes.

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