• Title/Summary/Keyword: Z-order

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ON RELATIVE CLASS NUMBER AND CONTINUED FRACTIONS

  • CHAKRABORTY, DEBOPAM;SAIKIA, ANUPAM
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.1559-1568
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    • 2015
  • The relative class number $H_d(f)$ of a real quadratic field $K=\mathbb{Q}(\sqrt{m})$ of discriminant d is the ratio of class numbers of $O_f$ and $O_K$, where $O_K$ denotes the ring of integers of K and $O_f$ is the order of conductor f given by $\mathbb{Z}+fO_K$. In a recent paper of A. Furness and E. A. Parker the relative class number of $\mathbb{Q}(\sqrt{m})$ has been investigated using continued fraction in the special case when $(\sqrt{m})$ has a diagonal form. Here, we extend their result and show that there exists a conductor f of relative class number 1 when the continued fraction of $(\sqrt{m})$ is non-diagonal of period 4 or 5. We also show that there exist infinitely many real quadratic fields with any power of 2 as relative class number if there are infinitely many Mersenne primes.

A Study on Inverter Voltage Control and harmonics Elimination Using Microprocessor (마이크로 프러세서를 이용한 인버터 전압제어와 고조파 제거에 관한 연구)

  • Chon, Byoung-Sil;Jeong, Dong-Soo
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.12
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    • pp.856-867
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    • 1987
  • Microprocessor control of power-electronic equipment offers the possibility of improvements in manufacture, realizability, maintenance and servicing, and increased control flexibility. In this paper, simple microprocessor control with a view to approximating the polynomial equations which govern the commutation angles was consisdered. The theoretical analysis of this principle which govern the commutaton of power switches in order to cancel any predetermined harmonics and vary the fundamental rms voltage of the inverter output is described. Also the spectrum and harmonics were analyzed by HP-1000 computer. Practical aspect of the realization of a voltage controller based on a microprocessor and a suitable system for variable frequency inverter were also presented. The experimental test has been carried out on a Z-80 microcomputer and a single phase transistor inverter. The various results show the feasibility of obtainintg practically a single phase and a three phase inverter waveforms, which are highly desirable in most inverter applications.

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Analysis of Magnetic Field and Thrust in Slotless Permanent Magnet Linear Synchronous Motor using 3D Space Harmonic Analysis Method (3차원 공간고조파법을 이용한 슬롯리스형 영구자석 선형 동기전동기의 자계 및 추력특성 해석)

  • Lee, Ju-Min;Kang, Gyu-Hong;Hong, Jung-Pyo;Kim, Gyu-Tak
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.50 no.6
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    • pp.255-262
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    • 2001
  • This paper deals with characteristic analysis method of the slotless type Permanent Magnet Linear Synchronous Motor(PMLSM) using the space harmonic method. Analysis models of the PM and the armature current are described by the magnetization configurations taking into account the 2D and 3D distribution. In 3D analysis, the thrust and normal force can be calculated more accurately, because it can consider the z component flux density which is impossible in 2D analysis. In order to verify the validity of the proposed method, the results of the analytic method are compared with not only the experimental ones but ones of Finite Element Method(FEM).

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Estimation of Voltage Instability Index Using RLS(Recursive Least Square) (RLS(Recursive Least Square)를 이용한 전압안정도 지수 평가)

  • Jeon, Woong-Jae;Lee, Byong-Jun
    • Proceedings of the KIEE Conference
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    • 2006.11a
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    • pp.279-281
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    • 2006
  • A Voltage Instability Predictor(VIP) estimates the proximity of a power system to voltage collapse in real time. Voltage Instability Index(Z-index) from VIP algorithm is estimated using LS(Least Square) method. But this method has oscillations and noise of result due to the system's changing conditions. To suppress oscillations, a larger data window needs to be used. In this paper. I propose the new other method which improves that weakness. It uses RLS(Recursive Least Square) to estimate voltage instability index without a large moving data window so this method is suitable for on-line monitor and control in real time. In order to verify effectiveness of the algorithm using RLS method, the method is tested on HydroQuebec system in real time digital simulator(HYPERSIM).

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Ginsenoside Rh2 Induces Apoptosis via Activation of Caspase-1 and -3 and Up-Regulation of Bax in Human Neuroblastoma

  • Kim, Young-Soak;Jin, Sung-Ha
    • Archives of Pharmacal Research
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    • v.27 no.8
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    • pp.834-839
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    • 2004
  • In human neuroblastoma SK-N-BE(2) cells undergoing apoptotic death induced by ginsenos-ide Rh2, a dammarane glycoside that was isolated from Panax ginseng C. A. Meyer, caspase-1 and caspase-3 were activated. The expression of Bax was increased in the cells treated with ginsenoside Rh2, whereas Bcl-2 expression was not altered. Treatment with caspase-1 inhibi-tor, Ac-YVAD-CMK, or caspase-3 inhibitor, Z-DEVD-FMK, partially inhibited ginsenoside Rh2-induced cell death but almost suppressed the cleavage of the 116 kDa PARP into a 85 kDa fragment. When the levels of p53 were examined in this process, p53 accumulated rapidly in the cells treated early with ginsenoside Rh2. These results suggest that activation of caspase-1 and -3 and the up-regulation of Bax are required in order for apoptotic death of SK-N-BE(2) cells to be induced by ginsenoside Rh2, and p53 plays an important role in the pathways to promote apoptosis.

Hydrostatic Press Forming of Microparts

  • Na K. H.;Kim S. S.;Park H. J.;Yoon D. J.;Choi T. H.;Lee S.;Kim E. Z.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.10b
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    • pp.167-174
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    • 2003
  • Microforming technology becomes crucial in variety of industries as up-to-date machinery products and parts are miniaturized Therefore research on micro forming processes are actively conducted because of its high productivity, high precision and efficienct material usage. Since friction during microforming has greater influence than macroforming, hydrostatic pressing is much more efficient. In this paper minimization of bur during fine sheet shear forming and hydrostatic process of multi-filament extrusion to obtain fine wire of micro-order have been conducted.

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Design of IIR Notch Filter for Removal of Baseline wander and Power Line Interference from ECG Signal

  • Chivapreecha, Sorawat;Dejhan, Kobchai;Yimman, Surapan
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.848-851
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    • 2005
  • This paper proposes a design of IIR notch filter with modified pole placements. The pole angle is derived from quadratic programming to find the appropriate pole position on the unit circle in z-plane in order to achieve the symmetry of the amplitude response. The simulation results are shown when compared with the conventional design technique. Moreover, it uses the TMS320C31 DSP chip for hardware implementation. Finally, the hardware implementation can be applied to removal of ECG baseline wander and elimination of AC power line interference in ECG signal.

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Reference Electrode for Monitoring Cathodic Protection Potential

  • Panossian, Z.;Abud, S.E.
    • Corrosion Science and Technology
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    • v.16 no.5
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    • pp.227-234
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    • 2017
  • Reference electrodes are generally implemented for the purpose of monitoring the cathodic protection potentials of buried or immersed metallic structures. In the market, many types of reference electrodes are available for this purpose, such as saturated calomel, silver/silver chloride and copper/copper sulfate. These electrodes contain a porous ceramic junction plate situated in the cylindrical body bottom to permit ionic flux between the internal electrolyte (of the reference electrode) and the external electrolyte. In this work, the copper/copper sulfate reference electrode was modified by replacing the porous ceramic junction plate for a metallic platinum wire. The main purpose of this modification was to avoid the ion copper transport from coming from the inner reference electrode solution into the surrounding electrolyte, and to mitigate the copper plating on the coupon surfaces. Lab tests were performed in order to compare the performance of the two mentioned reference electrodes. We verified that the experimental errors associated with the measurements conducted with developed reference electrode would be negligible, as the platinum surface area exposed to the surrounding electrolyte and/or to the reference electrolyte are maintained as small as possible.

Design of tall residential buildings in Singapore for wind effects

  • Balendra, T.;Ma, Z.;Tan, C.L.
    • Wind and Structures
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    • v.6 no.3
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    • pp.221-248
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    • 2003
  • The design of high-rise building is often influenced by wind-induced motions such as accelerations and lateral deflections. Consequently, the building's structural stiffness and dynamic (vibration periods and damping) properties become important parameters in the determination of such motions. The approximate methods and empirical expressions used to quantify these parameters at the design phase tend to yield values significantly different from each other. In view of this, there is a need to examine how actual buildings in the field respond to dynamic wind loading in order to ascertain a more realistic model for the dynamic behavior of buildings. This paper describes the findings from full-scale measurements of the wind-induced response of typical high-rise buildings in Singapore, and recommends an empirical forecast model for periods of vibration of typical buildings in Singapore, an appropriate computer model for determining the periods of vibration, and appropriate expressions which relate the wind speed to accelerations in buildings based on wind tunnel force balance model test and field results.

Submerged Porous Plate Wave Absorber

  • PARK W.T.;LEE S.H.;KEE S.T.
    • Journal of Ocean Engineering and Technology
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    • v.19 no.4 s.65
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    • pp.9-14
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    • 2005
  • In the present paper, the wave absorbing performance of the fully submerged horizontal porous plates has been investigated, numerically and experimentally. The submerged porous system is composed of multi-layered horizontal porous plates that are clamped at the vertical setwall, which are slightly inclined and placed vertically, in parallel, with spacing. The hydrodynamic interaction of incident waves with the rigid porous multi-layered plates was formulated within the context of linear wave-body interaction theory and Darcy's law. In order to validate the effectiveness of the present computing code, the numerical results were compared with the analytical and experimental results. It is found that triple horizontal porous plates with slight inclination, if properly tuned for wave energy dissipation against the standing waves in front of the vertical wall, can have high performances in reducing the reflected wave amplitudes against the incident waves over a wide range of wave frequency.