• Title/Summary/Keyword: Coincidence

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PERIODIC SOLUTIONS FOR DISCRETE ONE-PREDATOR TWO-PREY SYSTEM WITH THE MODIFIED LESLIE-GOWER FUNCTIONAL RESPONSE

  • Shi, Xiangyun;Zhou, Xueyong;Song, Xinyu
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.639-651
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    • 2009
  • In this paper, we study a discrete Leslie-Gower one-predator two-prey model. By using the method of coincidence degree and some techniques, we obtain the existence of at least one positive periodic solution of the system. By linalization of the model at positive periodic solution and construction of Lyapunov function, sufficient conditions are obtained to ensure the global stability of the positive periodic solution. Numerical simulations are carried out to explain the analytical findings.

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The reconstruction of Structure Velocity Field Using Nearfield Acoustic Holography (근접음장 음향 홀로그래피를 이용한 평판내의 속도분포 예측)

  • 권오훈;이효근;박윤식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.2
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    • pp.251-259
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    • 1994
  • Nearfield acoustic holography is known as a powerful tool to study sound radiation from a structure. In this work, the so called backward propagation of sound pressure field is studied to obtain the structure velocity distribution. The results, which were obtained using FFT algorithms, are presented for a finite plate excited at the frequencies above and below coincidence. These results illustrate the effect of stand-off distance and noise. An optimum cutoff frequency in wavenumber domain was suggested to reduce the effects of evanescent wave in the backward propagation. The experimental results were also included for a plate to demonstrate the effectiveness of the suggested cutoff frequency. The optimum cutoff frequency to exclude the unwanted noise in the process of reconstruction of the velocity field gives the good results in both simulations and experiments.

A Study of the Relationship of the Dental Midline to the Philtrum (인중과 상.하악 치아의 중심선 관계에 대한 조사연구)

  • Lee, Tae-Jung
    • Journal of Technologic Dentistry
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    • v.6 no.1
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    • pp.27-30
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    • 1984
  • This investigation was performed to study the relationship of the dental midline(an imaginary line between the centeal incisors) to the philtrum. 2,400 subjects with natural dentitions were examined. The group of the subjects was composed of 1,560 men and 840 women who had all of the upper and lower six anteriors and 0 to 4 missing teeth. Ages of the subjects ranged from 18 to 27 years. The obtained results were as follow: 1. The rates of the subjects whose philtrum and maxillary dental midline coincided was 64.92% and that of the subjects whose upper and lower dental midlines coincided was 29.17%and these rates are statistically significant, when compared respectively with those of the subjects whose philtrum and maxillary dental midline, and whose upper and lower dental midline's didn't coincide. 2. The difference between rates for the two sexes is not statistically significant. 3. Tooth missing significantly decreases the rates of the coincidence of the upper and lower dental midlines but its influence on the rates of coincidence of the dental midline to the philtrum is not significant.

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Effects of the decorrelation and the noise on the coincidence detection in a optical system with entangled photons (얽힘상태 광을 이용한 광학계에서 광손실 및 잡음이 동시계수에 미치는 영향)

  • 김헌오;고정훈;김태수
    • Proceedings of the Optical Society of Korea Conference
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    • 2001.02a
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    • pp.246-247
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    • 2001
  • 짧은 파장의 레이저 빔이 비선형 결정에 입사할 때 긴 파장의 두 광으로 자발적으로 변환하는 매개 하향변환(parametric down-convension; PDC)과정을 통해서 양자적 상관관계를 갖는 광원을 얻을 수 있다. PDC 과정은 에너지 보존 (w$_{p}$ = w$_{s}$ + w$_{i}$)과 운동량 보존 (k$_{p}$ = k$_{s}$ + k$_{i}$)에 해당하는, 위상조화 (phase matching) 조건이 잘 만족할 때 효과적으로 일어난다. PDC에서 광자들이 아주 짧은 시간에 쌍으로 발생한다는 것과 이러한 광자쌍을 동시에 측정하는(coincidence count; 동시계수) 방법을 이용하면 효과적으로 신호와 잡음을 분리해 낼수 있고, 배경(background)이나 잡음(noise)보다 미약한 신호를 통해서도 정보를 전달할 수 있는 가능성을 제공해준다. (중략)

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Two-Photon Interference Experiment in a Mach-Zehnder Interferometer

  • Kim, Tae-Soo;Kim, Heon-Oh;Ko, Jeong-Hoon;Park, Goo-Dong
    • Journal of the Optical Society of Korea
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    • v.7 no.2
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    • pp.113-118
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    • 2003
  • A two-photon interference experiment is presented in which an entangled pair of photons generated from a parametric down-conversion was incident on two input ports of a Mach-Zehnder interferometer. The experiment was carried out using two photon coincidence detection with two detectors at the two output ports of the interferometer. The measured coincidence counts exhibit an interference effect with visibility of 0.75 at simultaneous inputs and 0.38 at inputs with different arrival times according to the degree of photon number entanglement.

COMMON COUPLED FIXED POINT RESULTS FOR HYBRID PAIR OF MAPPING UNDER GENERALIZED (𝜓, 𝜃, 𝜑)-CONTRACTION WITH APPLICATION

  • Handa, Amrish
    • The Pure and Applied Mathematics
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    • v.26 no.3
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    • pp.111-131
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    • 2019
  • We introduce (CLRg) property for hybrid pair $F:X{\times}X{\rightarrow}2^X$ and $g:X{\rightarrow}X$. We also introduce joint common limit range (JCLR) property for two hybrid pairs $F,G:X{\times}X{\rightarrow}2^X$ and $f,g:X{\rightarrow}X$. We also establish some common coupled fixed point theorems for hybrid pair of mappings under generalized (${\psi},{\theta},{\varphi}$)-contraction on a noncomplete metric space, which is not partially ordered. It is to be noted that to find coupled coincidence point, we do not employ the condition of continuity of any mapping involved therein. As an application, we study the existence and uniqueness of the solution to an integral equation. We also give an example to demonstrate the degree of validity of our hypothesis. The results we obtain generalize, extend and improve several recent results in the existing literature.

Investigation of X-ray-induced Defects on Metals and Silicon by Using Coincidence Doppler Broadening Positron Annihilation Spectroscopy

  • Lee, C.Y.
    • Journal of the Korean Physical Society
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    • v.73 no.12
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    • pp.1895-1898
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    • 2018
  • The mechanical properties of Al, Ti, Fe, and Cu metals p-type Si, and n-type Si were investigated by using coincidence Doppler broadening (CDB) positron annihilation spectroscopy. The samples in this experiment were irradiated by using X-rays at generating powers for up to 9 kW. The data taken after the irradiation showed all the characteristic features predicted from defects with vacancies. The S parameter values of the metals were generally less than those of semiconductors such as p-type Si and n-type Si. The relationship between n-type Si and p-type Si were more affected when n-type Si rather than p-type Si was irradiated with X-rays.

UTILIZING WEAK 𝜓 - 𝜑 CONTRACTION ON FUZZY METRIC SPACES

  • Amrish Handa
    • The Pure and Applied Mathematics
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    • v.30 no.3
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    • pp.309-336
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    • 2023
  • We establish some common fixed point theorems satisfying weak ψ - ϕ contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this results we show the existence of fixed point on the domain of words and apply this approach to deduce the existence of solution for some recurrence equations associated to the analysis of Quicksort algorithms and divide and Conquer algorithms, respectively and also give an example to show the usefulness of our hypothesis. Our results generalize, extend and improve several well-known results of the existing literature in fixed point theory.