• Title/Summary/Keyword: T -wave

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NEGATIVE SOLUTION FOR THE SYSTEM OF THE NONLINEAR WAVE EQUATIONS WITH CRITICAL GROWTH

  • Jung, Tacksun;Choi, Q.-Heung
    • Korean Journal of Mathematics
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    • v.16 no.1
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    • pp.41-49
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    • 2008
  • We show the existence of a negative solution for the system of the following nonlinear wave equations with critical growth, under Dirichlet boundary condition and periodic condition $$u_{tt}-u_{xx}=au+b{\upsilon}+\frac{2{\alpha}}{{\alpha}+{\beta}}u_+^{\alpha-1}{\upsilon}_+^{\beta}+s{\phi}_{00}+f,\\{\upsilon}_{tt}-{\upsilon}_{xx}=cu+d{\upsilon}+\frac{2{\alpha}}{{\alpha}+{\beta}}u_+^{\alpha}{\upsilon}_+^{{\beta}-1}+t{\phi}_{00}+g,$$ where ${\alpha},{\beta}>1$ are real constants, $u_+={\max}\{u,0\},\;s,\;t{\in}R,\;{\phi}_{00}$ is the eigenfunction corresponding to the positive eigenvalue ${\lambda}_{00}$ of the wave operator and f, g are ${\pi}$-periodic, even in x and t and bounded functions.

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CONTRACTION MAPPING PRINCIPLE AND ITS APPLICATION TO UNIQUENESS RESULTS FOR THE SYSTEM OF THE WAVE EQUATIONS

  • Jung, Tack-Sun;Choi, Q-Heung
    • Honam Mathematical Journal
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    • v.30 no.1
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    • pp.197-203
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    • 2008
  • We show the existence of the unique solution of the following system of the nonlinear wave equations with Dirichlet boundary conditions and periodic conditions under some conditions $U_{tt}-U_{xx}+av^+=s{\phi}_{00}+f$ in $(-{\frac{\pi}{2},{\frac{\pi}{2}}){\times}R$, ${\upsilon}_{tt}-{\upsilon}_{xx}+bu^+=t{\phi}_{00}+g$ in $(-{\frac{\pi}{2},{\frac{\pi}{2}}){\times}R$, where $u^+$ = max{u, 0}, s, t ${\in}$ R, ${\phi}_{00}$ is the eigenfunction corresponding to the positive eigenvalue ${\lambda}_{00}$ of the wave operator. We first show that the system has a positive solution or a negative solution depending on the sand t, and then prove the uniqueness theorem by the contraction mapping principle on the Banach space.

A Study on the Guided Wave Mode Conversion using Self-calibrating Technique (자가교정기법에 의한 유도초음파 모드전이에 관한 연구)

  • Park, Jung-Chul;Cho, Youn-Ho
    • Journal of the Korean Society for Nondestructive Testing
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    • v.20 no.3
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    • pp.206-212
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    • 2000
  • The guided wave mode conversion phenomena were investigated for the NDE of a plate-like structure with thickness variation. The ratios of reflection and transmission (R/T) were measured via the self-calibrating procedure which allows us to obtain experimental guided wave data in a more reliable way regardless of the coupling uncertainty between transducer & specimen. The results on R/T could be used to determine the thickness reduction of the structure. It was shown that not only the incident modes but also the converted ones need to be considered in the self-calibrating guided wave inspection to extract a reasonable correlation between experimental data & the thickness variation. Through this study, the potential of guided wave inspection as a quantitative NDE technique was explored based on the combined concept of self-calibration & multi-mode conversion in guided wave scattering problems.

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Peak mooring forces in the horizontal interlaced multi-layered moored floating pipe breakwater

  • Mane, Vishwanath;Rajappa, Sacchi;Rao, Subba;Vittal, Hegde A.
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.3 no.2
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    • pp.150-158
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    • 2011
  • Present study aims to investigate the influence of relative breakwater width W/L (W=width of breakwater, L=wavelength), wave steepness $H_i/gT^2$ (Hi=incident wave height, T=wave period) and relative wave height d/W (d=water depth) on forces in the moorings of horizontal interlaced multi-layered moored floating pipe breakwater (HIMMFPB) model. Studies were conducted on scaled down physical models having three layers of Poly Vinyl Chloride (PVC) pipes, wave steepness $H_i/gT^2$ varying from 0.063 to 0.849, relative width W/L varying from 0.4 to 2.65 and relative spacing S/D=2 (S=horizontal centre-to-centre spacing of pipes, D=diameter of pipes). Peak mooring forces were also measured and data collected is analyzed by plotting non-dimensional graphs depicting variation of $f_s/{\gamma}W^2$ ($f_s$=Sea side Mooring force, ${\gamma}$=specific weight of water) & $f_l/{\gamma}W^2$ ($f_l$=Lee side Mooring force) with $H_i/gT^2$ for d/W varying from 0.082 to 0.276 and also variation of $f_s/{\gamma}W^2$ and $f_l/{\gamma}W^2$ with W/L for $H_i$/d varying from 0.06 to 0.400.

Study on the Radial Pulse Wave Variables and Heart Rate Variability after Acupuncture Stimulation (침자극이 좌관맥상과 심박수 미세변화에 미치는 영향)

  • Won, Jae-Kyun;Jung, Soon-Kwan;Kim, Dong-Eun;Lim, Jin-Young;Kwon, Young-Dal;Yeom, Seung-Ryong;Lee, Su-Kyung;Song, Yung-Sun
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.23 no.1
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    • pp.237-244
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    • 2009
  • We investigated the effects of acupuncture stimulation on pulse wave variables and heart rate variability (HRV) in healthy adults. To evaluate twenty healthy volunteers (10 men, 10 women) had acupuncture into both Hapkok (Ll4) and Taechung (Liv3) for 15 minutes. Radial pulse, Heart Rate Variability, body temperature and blood pressure were checked before and after acupuncture to evaluate Pulse Wave Variability and Autonomous Function. The results were as follows; Heart rate was significantly increased while systolic blood pressure (mmHg) and diastolic blood pressure (mmHg) were significantly increased after acupuncture treatment. Sixteen subjects didn't change representative pulse wave variables after acupuncture treatment. Energy, height of main peak (H1), height of pre-dicrotic valley (H2) and height of descending valley (H4) were decreased while height of dicrotic peak (H5) was significantly decreased after acupuncture treatment. Time to main peak (T1), time to pre-dicrotic valley (T2), time to dicrotic peak (T5), total time (T) and T-T4 were decreased while time to descending valley (T4) was increased after acupuncture treatment. Total area (At), area of main peak (Aw) and ratio of diastolic period area (Ad) were decreased while ratio of systolic period area (As) and angle of main peak (MPA) were increased after acupuncture treatment. The standard deviation of all normal RR intervals (SDNN) was increased while the root mean square of successive differences between the normal heart beats (RMSSD) was significantly increased after acupuncture treatment by time domain analysis. Low frequency power (LF) and LF/HF ratio were decreased while high frequency power (HF) was significantly increased after acupuncture treatment by frequency domain analysis. This study suggests that acupuncture treatment changes pulse wave variability and heart rate variability. Further study on various acupuncture treatment for pulse wave variability and heart rate variability is required.

Effect of different feeding times using a diet containing betaine on production, blood profile and a short chain fatty acid in meat ducks exposed to a scorching heat wave (베타인 사료의 급여시기가 폭염에 노출된 오리의 짧은 사슬지방산, 혈액 프로파일 및 생산성에 미치는 효과)

  • Bang, Han-Tae;Hwangbo, Jong;Kang, Hwan-Ku;Park, Byung-Sung
    • Journal of the Korean Applied Science and Technology
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    • v.32 no.3
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    • pp.427-438
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    • 2015
  • The effects of different feeding times, using a diet containing 800 ppm betaine, on production, blood profile, and the short-chain fatty acid (SCFA), was investigated using 240 Cherry Valley (Anas platyrhynchos) meat ducks exposed to a scorching heat wave. The animals were randomly assigned to four groups, each of which was replicated three times with twenty ducks per replicate. The experimental period was 42 days for each group. Four groups were assigned into C (heat wave control group without betaine), T1 (ad libitum group fed a diet containing 800 ppm betaine), T2 (diet-restricted group fed twice daily between 05:00-10:00 and 17:00-20:00, using a diet containing 800 ppm betaine), and T3 (night-restricted group, fed from 17:00-10:00, with a diet containing 800 ppm betaine). At 42 days, body weight increased in order of T2, T1, T3 compared to the heat wave control group although. However, these differences were not found between the groups of T1 and T3. The heat wave control group, provided an ad libitum diet without betaine (C), showed an elevated feed conversion ratio compared to the groups fed a diet containing betaine. However, these differences were not found between the groups of T1, T2 and T3. RBC and platelet profiles except for PLT and MPV showed statistically significant differences between study groups fed a diet containing betaine. T2 presented significantly higher blood electrolytes $Na^+$ and $Cl^-$ than the other groups. T2 also showed a blood gas level that was generally higher than the other groups. Total SCFA, acetic acid and propionic acid concentration has been the increasing trend in T2, but butyric acid, isobutyric acid and valeric acid concentration has been the decreasing trend in T2 compared to the other groups. It is concluded that the feeding-restricted group, fed two times daily between 05:00-10:00 and 17:00-20:00, with a diet containing 800 ppm betaine may improve growth performance in meat ducks exposed to a scorching heat wave.

Estimation of Representative Wave Period and Optimal Probability Density Function Using Wave Observed Data around Korean Western Coast (국내 서해안 파랑 관측자료를 이용한 대표주기 산정 및 최적 확률밀도함수 추정)

  • Uk-Jae Lee;Hong-Yeon Cho;Jin Ho Park;Dong-Hui Ko
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.35 no.6
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    • pp.146-154
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    • 2023
  • In this study, the peak wave period Tp and mean wave period T02 and Tm-1, 0, which are major parameters for classifying ocean characteristics, were calculated using water surface elevation data observed from the second west coast oceanographic and meteorological observation tower. In addition, the ratio of abnormal data, correlation analysis, and optimal probability density function were estimated. In the case of Tp among the calculated representative periods, the proportion of abnormal data was 5.73% and 0.67% at each point, and T02 was 4.35% and 0.01%. Tm-1, 0 was found to be 2.82% and 0.03%. Meanwhile, as a result of analyzing the relationship between T02 and Tp, the relationship was calculated to be 0.53 and 0.63 for each point. The relationship between Tm-1, 0 and Tp was 1.15 and 1.32, respectively, and T02, Tm-1, 0 was 1.18 and 1.22. As a result of estimating the optimal probability density function of the calculated representative period, Tp followed the 'Log-normal' and 'Normal' distributions at each point, and T02 was 'Gamma', 'Normal' distribution and Tm-1, 0 showed that 'Log-normal' and 'Normal' distribution were dominant, respectively. It is decided that these results can be used as basic data for wave analysis conducted on the west coast.

A study on P wave detection method in ECG (심전도에서 P파의 검출방법에 관한 연구)

  • Ju, Jang-kyu;Lee, Ki-Young;Bae, Cheol-Soo;Lee, Sang-Sik
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.4 no.1
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    • pp.17-22
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    • 2011
  • In this study, a P wave emphasizing and detection algorithm from ECG signal was proposed to read arrhythmia. The algorithm uses two slope tracing waveform, the descending slope tracing wave and the ascending slope tracing wave, developed for efficient determination of slope inverting points and sudden slope changing points. The algorithm generates the slope tracing waveform which trace the original ECG wave, and subtracts one tracing wave from the other to detect P and T waves. The algorithm has been applied to MIT/BIH database in order to verify its efficacy and validity in practical applications.

Research on Wave Kinematics & Wave Loads in Breaking Wave (쇄파의 유동구조 및 쇄파력에 대한 연구)

  • LEE BYEONG-SEONG;JO HYO-JAE;GOO JA-SAM;KANG BYUNG-YOON
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2004.11a
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    • pp.96-101
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    • 2004
  • When the wind blows hard, most waves are breaking in sea. Breaking waves occur, exceeding limitation of wave steepness(wave height/wave length=l/7). Because a wave of single angular frequency couldn't generate the breaking phenomena at two dimensional ocean engineering basin, the breaking wave can be generated by the superposition of waves with various angular frequencies. We research how are the particle kinematics in the breaking wave and the magnitude of the breaking wave exciting force. We compare the force in a regular wave which has same specifications(wave height, period and length) as the breaking wave. Also the experimental results of wave exciting force and particle velocity are investigated by comparison on the analytic results using the potential theory.

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An Anomalous Bifurcation in Natural Convection between Two Horizontal Plates with Periodic Temperatures (주기적인 온도를 갖는 두 수평 평판 사이에서의 자연 대류에서의 이례적인 분기 현상)

  • Yoo Joo-Sik;Kim Yong-Jin
    • Journal of computational fluids engineering
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    • v.9 no.4
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    • pp.1-6
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    • 2004
  • This study investigates the transition of flows in a natural convection problem with periodic wall temperatures of the form, T/sub L/=T₁+δ Tsinκχ and T/sub L/=T₂+δ Tsinκχ .The fluid considered is air with P/sub γ/=0.7. In the conduction-dominated regime with a small Rayleigh number, two large cells are formed over one wave length, for all wave numbers. When k≤1.8, the flow becomes unstable with increase of the Rayleigh number, and multicellular convection occurs above a critical Rayleigh number. The flow patterns are classified by the number of eddies over one wave length, and several kinds of transition phenomena, such as 2→3→4, 4→3→2, and 2→4 eddy flow, occur with increase( or decrease) of the Rayleigh number. Dual solutions are found above a critical Rayleigh number, and an anomalous bifurcation is observed.