• Title/Summary/Keyword: Q-difference

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The Dynamics of Solutions to the Equation $x_{n+1}=\frac{p+x_{n-k}}{q+x_n}+\frac{x_{n-k}}{x_n}$

  • Xu, Xiaona;Li, Yongjin
    • Kyungpook Mathematical Journal
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    • v.50 no.1
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    • pp.153-164
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    • 2010
  • We study the global asymptotic stability, the character of the semicycles, the periodic nature and oscillation of the positive solutions of the difference equation $x_{n+1}=\frac{p+x_{n-k}}{q+x_n}+\frac{x_{n-k}}{x_n}$, n=0, 1, 2, ${\cdots}$. where p, q ${\in}$ (0, ${\infty}$), q ${\neq}$ 2, k ${\in}$ {1, 2, ${\cdots}$} and the initial values $x_{-k}$, ${\cdots}$, $x_0$ are arbitrary positive real numbers.

A Performance Enhanced UHF RFID System with Modified I/Q Diversity Receiver

  • Jeon, Ki-Yong;Yoon, Chang-Seok;Cho, Sung-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.7A
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    • pp.751-756
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    • 2008
  • In this paper, we propose a modified I/Q diversity scheme receiver of UHF RFID reader system. The modified I/Q diversity receiver is more robust than the conventional homodyne receiver in the wireless noisy, fading channel and phase noise environments by making use of additional axes. In particular, it is shown that the closer the phase difference ${\theta}(t)$ between the reader and the tag to ${\pi}/4$, the larger performance improvement we can get. The performance of the proposed receiver is verified by equations and is demonstrated by the computer simulation for various difference ${\theta}(t)$ cases.

OSCILLATION OF SECOND-ORDER FUNCTIONAL DYNAMIC EQUATIONS OF EMDEN-FOWLER-TYPE ON TIME SCALES

  • Saker, S.H.
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1285-1304
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    • 2010
  • The purpose of this paper is to establish some sufficient conditions for oscillation of solutions of the second-order functional dynamic equation of Emden-Fowler type $\[a(t)x^{\Delta}(t)\]^{\Delta}+p(t)|x^{\gamma}(\tau(t))|\|x^{\Delta}(t)\|^{1-\gamma}$ $sgnx(\tau(t))=0$, $t\;{\geq}\;t_0$, on a time scale $\mathbb{T}$, where ${\gamma}\;{\in}\;(0,\;1]$, a, p and $\tau$ are positive rd-continuous functions defined on $\mathbb{T}$, and $lim_{t{\rightarrow}{\infty}}\;{\tau}(t)\;=\;\infty$. Our results include some previously obtained results for differential equations when $\mathbb{T}=\mathbb{R}$. When $\mathbb{T}=\mathbb{N}$ and $\mathbb{T}=q^{\mathbb{N}_0}=\{q^t\;:\;t\;{\in}\;\mathbb{N}_0\}$ where q > 1, the results are essentially new for difference and q-difference equations and can be applied on different types of time scales. Some examples are worked out to demonstrate the main results.

Impact of Germination and Initial Growth of Deciduous Six Oak Species under Climate Change Environment Condition (기후변화 환경에서의 낙엽성 참나무 6종의 발아와 초기 생장)

  • Jeong, Heon Mo;Kim, Hae Ran;You, Young Han
    • Korean Journal of Ecology and Environment
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    • v.54 no.4
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    • pp.334-345
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    • 2021
  • The present study investigated the effect of global warming on germination and initial growth across six deciduous oak species (Quercus mongolica, Q. variabilis, Q. serrata, Q. dentata, Q. aliena, and Q. acutissima), which are the dominant tree species in Korea forest ecosystems. Seeds were sown in climate change treatments, with temperatures higher than those of the control (approximately 3.0℃ higher), and CO2 concentrations higher than those of the control (approximately 2-fold higher). Initial growth in each species was measured every two weeks. Initial growth was more rapid in all oak species at the time of root and shoot emergence under high temperature and CO2 treatments than in the control group. Leaf emergence in Q. mongolica, Q. variabilis, and Q. serrata occurred earlier under the climate change treatments than under the control. Root length increased significantly in Q. mongolica, Q. variabilis, and Q. dentata under the climate change treatments when compared to under the control. However, Q. aliena and Q. serrata exhibited a contrasting trends, and no significant difference was observed between the species and Q. acutissima. Shoot length increased significantly in Q. aliena under climate change treatments when compared to under the control but decreased in Q. aliena. In addition, no significant difference was observed in shoot length among Q. mongolica, Q. dentata, and Q. acutissima. The results showed that climate change treatments facilitated early growth, rapid emergence from the ground, leaf development, and enhanced belowground growth in Q. mongolica. Conversely, Q. aliena exhibited the lowest aboveground and belowground growth under climate change treatments when compared to other oak species. Climate change treatments had the least impact on Q. acutissima considering the insignificant differences observed in initial growth rates under climate change treatment.

High Frequency Oscillations and Low Frequency Instability in Hybrid Rocket Combustion (하이브리드 로켓 연소실험에서의 고주파수 진동과 저주파수 연소불안정)

  • Chae, Heesang;Lee, Changjin
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.46 no.12
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    • pp.1021-1027
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    • 2018
  • Experimental studies have been conducted to verify that the positive coupling between pressure oscillation (p') and combustion oscillation (q') of high frequency range is a prerequisite for the initiation of low frequency instability in hybrid rocket combustion. The post-chamber length and combustion equivalence ratio were selected as critical parameters to control the phase difference between p' and q', and p' amplitude in relation to the suppression of LFI. In the results, even if the post-chamber length increases, the phase difference between p' and q' maintains below pi/2, which is a necessary condition for the LFI development, but the amplification of RI (Rayleigh index) was substantially decreased leading to a stable combustion. In addition, results confirmed that combustion stability is achieved by changing the momentary equivalence ratio and/or by suppressing the positive coupling status of p' and q'. Thus, the periodic amplification of RI was identified as the middle path of the mechanism of occurrence of LFI.

The Experimental Method of Measuring Q (Q의 실험적 측정법)

  • Kim, Dong-Hak;Lee, Jeong-Hyun;Kang, Ki-Ju
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.285-291
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    • 2003
  • An experimental method to measure Q-parameter in-situ is described. The basic idea comes from the fact that the side necking near a crack tip indicates the loss of stress triaxiality, which can be scaled by Q. From the out-of-plane displacement and the in-plane strain near the surface of side necking, stress field averaged through the thickness is calculated and then Q is determined from the difference between the stress field and the HRR field corresponding to the identical J-integral. To prove the validity, three-dimensional finite element analysis has been performed for a CT configuration with side-groove. Q-value which was calculated directly from the near-tip stress field is compared with that determined by simulating the experimental procedure according to the proposed method, that is, the Q-value determined from the lateral displacement and the inplane strain. Also, the effect of location where the displacement and strain are measured is explored.

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Effect of Oral Health Education with Q-Scan in Preschool Children (Q-Scan을 이용한 학령전기 아동의 구강보건교육 효과)

  • Kim, Na-Yeon;Lee, Su-Young
    • Journal of dental hygiene science
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    • v.15 no.6
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    • pp.696-702
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    • 2015
  • The purpose of this study was to evaluate the effect of oral health education with Q-scan for preschool children. The 59 children were divided into two groups, one with Q-scan and the other with dentiform, and they were evaluated by interview questionnaire and measurement of dental plaque index using Quigley-Hein index. Using SPSS ver. 18.0 for statistical analysis, paired t-test and Independent t-test were carried out for dental plaque index change and chi-square independence test for change between before and after oral health education. The result of this study revealed that the dental plaque index of the children showed significant decrease of 12% more in the experimental group (p<0.001). Both groups showed significant difference in knowledge about fluorine (p<0.05) and the percentage of correct answers showed significant increase in questions about bad food for teeth (p<0.05). In attitude toward oral health, the experimental group showed significant difference in every variable (p<0.05), and the control group showed significant difference in regular oral examination and frequency of toothbrushing (p<0.05). The experimental group showed significant result (p<0.05) with increase in the percentage of correct answers for the question about how to hold a toothbrush and decrease in the percentage of correct answers for the question about how to apply toothpaste, while the control group did not show significant difference in any variable. Therefore, Q-scan as an appropriate tool for motivation, provides effective educational methods in oral health education.

CLOSE/WIDE DEGENERACY IN CENTRAL PERTURBATIONS OF PLANETARY LENSING

  • Kim, Do-Eon;Han, Cheong-Ho;Park, Byeong-Gon
    • Journal of The Korean Astronomical Society
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    • v.42 no.3
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    • pp.39-45
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    • 2009
  • We investigate the degeneracy in the pattern of central microlensing perturbations of a pair of planetary systems where the planets are located from the primary with projected separations in units of the Einstein radius s and $s^{-1}$, respectively. From this, we confirm the fact that although alike, the patterns of central perturbations induced by a close (s < 1) planet and a wide (s > 1) planet are not identical and the degree of difference depends on the planet/primary mass ratio and the planet-primary separation. We find that the difference can be greater than 5% for planetary systems with lensing parameters located in the parameter space of (1/1.8 < |s| < 1.8, q > $5{\times}10^{-3}$), (1/1.3 < |s| < 1.3, q > $1{\times}10^{-3}$), and (1/1.2 < |s| < 1.2, q > $5{\times}10^{-4}$), where q represents the planet/primary mass ratio. Although this range occupies a small fraction of the entire parameter space of planetary systems, we predict that the chance of resolving the close/wide degeneracy would not be meager considering that the planet detection efficiency is higher for planets with resonant separations (s $\sim$ 1) and heavier masses. We also find that the differences between the perturbation patterns are basically caused by the effect of the planetary caustic. This explains the tendency of the perturbation difference where (1) the difference increases as the planet/primary mass ratio increases and the separation approaches the Einstein radius, (2) the region of major difference is confined within the region around the line connecting the central and the planetary caustics, and (3) a wide (close) planetary system has a more extended central perturbation region toward the (opposite) direction of the planet.

Variation in Flushing Times of Quercus Species and Their Hybrids (참나무류 및 이들 잡종(雜種)의 개아기(開芽期) 차이(差異))

  • Lee, Jeong Ho;Hashizume, Hayato;Yamamoto, Fukuju;Kwon, Ki Won
    • Journal of Korean Society of Forest Science
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    • v.87 no.2
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    • pp.194-200
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    • 1998
  • The difference in leaf bud flushing times of Quercus species and their hybrids was compared among the trees from natural forest, seedlings from natural pollination and artificial crossing. In the natural forest of the Hiruzen experimental forest of Tottori University, Japan, Quercus species flushed in the order of Q. crispula > Q. anguste-lepidota > Q. takatorensis ${\fallingdotseq}$ Q. serrate > Q. dentata. The flushing time of seedlings from natural pollination was in the order of Q. aliena ${\fallingdotseq}$ Q. crispula > Q. angustelepidota > Q. takatorensis ${\fallingdotseq}$ Q. serrate > Q. dentata. The flushing times of $F_1$ hybrids by artificial crossing were between those of parental species. From the result of interspecific hybridization, it is shown that the earliness of flushing in Quercus species is a genetic character considered hereditable to progenies.

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Design of Magnetic Circuit of Line-start Permanent Magnet Synchronous Motor to Develop the Characteristics at the Steady State (정상상태 특성 개선을 위한 단상 영구자석형 동기기의 자기회로 설계)

  • Oh, Young-Jin;Nam, Hyuk;Jung, Seung-Kyu;Hong, Jung-Pyo;Jung, Tae-Uk;Baek, Seung-Myun
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.52 no.6
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    • pp.254-261
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    • 2003
  • This study investigates magnetic circuit design of the Single-phase Line-start Permanent Magnet Synchronous Motor (LSPM) to develop the characteristics in steady state. In this paper, the saliency ratio, that is the ratio of q-axial inductance to d-axial inductance, and the inductance difference between q-axial inductance and d-axial inductance are increased. Design factor is selected permanent magnet position and rotor diameter. The analysis method of the synchronous motor on d-/q- axis coordinates is used for the positive component and the equivalent circuit of the induction motor is applied for the negative component analysis. Back-emf and d-q- axial inductance is analyzed by using 2 dimensional Finite Element Method (FEM). Characteristic analysis results with variation of design factor are reflected magnetic circuit design of LSPM. The characteristics of design model are compared with the characteristic of initial model.