• Title/Summary/Keyword: Zero region

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DEFLECTION OF A CIRCULAR PLATE DUE TO HEATING OF A CONCENTRIC CIRCULAR REGION

  • Chakryborty, H.S.;Kar, T.K.
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.217-226
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    • 2002
  • A circular plate kept zero initial temperature is heated for a certain interval of time over a concentric circular region of the upper face. Deflection is obtained by using Laplace transform technique. Taking the plate material to be aluminium, central deflection is obtained for several values of time and the results shown graphically.

On Zeros of Polynomials with Restricted Coefficients

  • RASOOL, TAWHEEDA;AHMAD, IRSHAD;LIMAN, AB
    • Kyungpook Mathematical Journal
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    • v.55 no.4
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    • pp.807-816
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    • 2015
  • Let $P(z)={\limits\sum_{j=0}^{n}}a_jz^j$ be a polynomial of degree n and Re $a_j={\alpha}_j$, Im $a_j=B_j$. In this paper, we have obtained a zero-free region for polynomials in terms of ${\alpha}_j$ and ${\beta}_j$ and also obtain the bound for number of zeros that can lie in a prescribed region.

E-polarized diffraction coefficients extended inside dielectric region of a composite wedge (복합쐐기의 유전체 영역에서 확장된 E-편파 회절계수)

  • 김세윤
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.34D no.7
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    • pp.8-14
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    • 1997
  • The phusical optics approximation to an E-polarized diffraction by a composite wedge provides its diffraction coefficients in terms of finite series of cotangent functions. In this paper, its diffraction coefficients inside the dielectric part are extended to become the exact solution to the perfectly conducting wedge as its relative dielectric constant increases to infinite or decreases to 1. It is assured that the extended diffraction coefficients satisfy the boundary condition at th econducting interface and become zero in the artificially complementary region of the composite wedge.

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ON THE CONVERGENCE OF THE UOBYQA METHOD

  • Han, Lixing;Liu, Guanghui
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.125-142
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    • 2004
  • We analyze the convergence properties of Powell's UOBYQA method. A distinguished feature of the method is its use of two trust region radii. We first study the convergence of the method when the objective function is quadratic. We then prove that it is globally convergent for general objective functions when the second trust region radius p converges to zero. This gives a justification for the use of p as a stopping criterion. Finally, we show that a variant of this method is superlinearly convergent when the objective function is strictly convex at the solution.

A Theoretical Investigation of Nonlinear Chemical Reactions Near the Critical Point in the Presence of Diffusion

  • Shin, Seok-Min;Shin, Kook-Joe
    • Bulletin of the Korean Chemical Society
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    • v.7 no.4
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    • pp.283-288
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    • 1986
  • A nonlinear analysis is presented for the treatment of fluctuations near the critical point in the presence of diffusion in the Schlogl models. The two time scaling method is used to obtain an evolution equation for the amplitude of fluctuations. It is shown that the fluctuations decay to zero in the stable region and they are enhanced to a finite value as time goes to infinity in the unstable region.

Direct Torque Control Method of Induction Machine with Constant Average Torque (일정한 토크 평균치를 가지는 유도전동기 직접토크제어기법)

  • Kim, Jeong-Ok;Jo, Nae-Su;Choe, Byeong-Tae;Kim, U-Hyeon;Im, Seong-Un;Gwon, U-Hyeon
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.31-34
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    • 2003
  • There are several types of switching table for selection voltage vector in direct torque control of induction motor. In general, two-quadrant and four-quadrant operation switching table are used mostly. Two-quadrant operation has an advantage that reduced the torque ripples in comparison with four-quadrant operation, but it has the defect that is not constant average torque. Because the torque increasing slope size by non-zero voltage vector is different from the torque decreasing slope size by zero voltage vector as speed region. The main objective of this study is to maintain constant average torque using two-quadrant operation switching table. In proposed method, the torque increasing slope or decreasing slope are calculated before selected voltage vector is applied. Then, it is applied to zero voltage vector or non-zero voltage vector until the torque increasing slope and decreasing slope are equal. In total magnitude. Therefore it becomes to maintain average torque at whole operation speed. The validity of the proposed method is proven by simulated and experimental results.

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Measurement of the Post-Arc Current in a Vacuum Circuit Breaker (진공차단기에서 아크-후 전류의 측정)

  • Song, Ki-Dong;Chong, Jin-Kyo;Oh, Yeon-Ho;Lee, Woo-Young
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.55 no.10
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    • pp.521-527
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    • 2006
  • After various measuring methods and system were investigated, Rogowski colis for the measurement of parameters in current zero region were designed and manufactured. Using the Rogowski coils and a 38kV 40kA VCB (vacuum circuit breaker), at last the post-arc current has been successfully measured firstly. It was found that the Rogowski coils used in this study have good characteristics and propriety to measure the parameters of current zero. We realized that the data processing for evaluating the post-arc current from the experimental results needs much more careful attention than that for building the measuring technique and system. The magnitude of post-arc current and the falling time of it to zero are proportioned to the rate of current di/dt. The magnitude of post-arc currents were around $1{\sim}3A$ to the interruption current of $20{\sim}30kA$ in the model VCB.

Steady-State Analysis of ZVS and NON-ZVS Full-Bridge Inverters with Asymmetrical Control for Induction Heating Applications

  • Yachiangkam, Samart;Sangswang, Anawach;Naetiladdanon, Sumate;Koompai, Chayant;Chudjuarjeen, Saichol
    • Journal of Power Electronics
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    • v.15 no.2
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    • pp.544-554
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    • 2015
  • This paper presents a steady-state operation analysis of full-bridge series-resonant inverters focusing on the distorted load current due to low-quality-factor resonant circuits in induction heating and other applications. The regions of operation based on the zero-voltage switching (ZVS) and non-zero-voltage switching (NON-ZVS) operations of the asymmetrical voltage-cancellation control technique are identified. The effects of a distorted load current under a wide range of output powers are also analyzed for achieving a precise ZVS operating region. An experimental study is performed with a 1kW prototype. Simulation and experimental studies have confirmed the validity of the proposed method. An efficiency comparison between the variable frequency method and the conventional fixed-frequency method is provided.

A Study on The Frost Penetration Depth of Pavement with Field Temperature Data (도로포장 현장계측 온도데이터를 이용한 도로포장체의 동결깊이 연구)

  • Shin, Eun-Chul;Lee, Jae-Sik;Cho, Gyu-Tae
    • International Journal of Highway Engineering
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    • v.13 no.1
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    • pp.21-32
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    • 2011
  • The frost penetration depth of pavement is usually estimated from the freezing index that made temperature data analysis of 30 years and decided the thickness of anti-frost layer. The field monitoring region in study was divided into five regions by freezing index 550~650$^{\circ}C{\cdot}$day, 450~550$^{\circ}C{\cdot}$day and 350~450$^{\circ}C{\cdot}$day. Each region has three-section of road pavement such as cutting area, boundary area of cutting and banking, and lower area of banking. The field monitoring system was established both in the section of anti-frost layer and in the section without anti-frost layer. The data analysis was conducted for determination of frost penetration depth within the paved road by the field monitoring system. The result showed that The temperature of subgrade without anti-frost layer shows below zero in centigrade for the region of freezing index 550~650$^{\circ}C{\cdot}$day, up and down around zero degree in subgrade for the region of freezing index 450~550$^{\circ}C{\cdot}$day, and there is no place existed below zero degree in subgrade for the region of freezing index below 450$^{\circ}C{\cdot}$day. With comparison of field frost penetration depth for the cross-sections of pavement, the cutting area shows the greatest frost penetration depth, and less influence of frost penetration depth for the boundary area of cutting and banking, and the least influenced for the lower area of banking.

An Analysis of Spatial Determinants of Inventor Networks in Korea (발명자 네트워크의 공간적 결정요인 분석)

  • Jeong, Jun Ho
    • Journal of the Economic Geographical Society of Korea
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    • v.19 no.1
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    • pp.1-17
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    • 2016
  • This paper attempts to explore the spatial structure of inventor networks and their determinants among 230 shi-gun-gu regions in Korea by investigating the residence of co-inventors engaged in Korean patent applications to the Korean Intellectual Office and exploiting a zero inflated negative binomial model to accommodate an estimation to the count nature of a dependent variable and its excess of zeros. Several variables are found to affect the spatial linkage of inventor networks. Spatial links extend beyond the region if it has more own R&D-related specific assets (private R&D, patent productivity, population, education); if it is physically close to and has technological similarity with the other region. The assets of the other region plays a positive role if, in a similar way, the other region has more R&D-related specific assets.

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