• Title/Summary/Keyword: Decay Rate

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CONVERGENCE AND DECAY ESTIMATES FOR A NON-AUTONOMOUS DISPERSIVE-DISSIPATIVE EQUATION WITH TIME-DEPENDENT COEFFICIENTS

  • Kim, Eun-Seok
    • Honam Mathematical Journal
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    • v.44 no.2
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    • pp.281-295
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    • 2022
  • This paper deals with the long - time behavior of global bounded solutions for a non-autonomous dispersive-dissipative equation with time-dependent nonlinear damping terms under the null Dirichlet boundary condition. By a new Lyapunov functional and Łojasiewicz-Simon inequality, we show that any global bounded solution converges to a steady state and get the rate of convergence as well, which depends on the decay of the non-autonomous term g(x, t), when damping coefficients are integral positive and positive-negative, respectively.

A study on some high school boys' practice of oral health control(around toothbrushing) and knowledge of decay and preferred taste (일부 남고생의 간식 선호맛과 구강관리실천(잇솔질 중심) 및 우식지식도 조사)

  • Choi, Yun-Hwa
    • Journal of Korean society of Dental Hygiene
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    • v.10 no.2
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    • pp.361-374
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    • 2010
  • Objectives : The purpose of this study was to provide some basic data for effective prevention and oral health education for oral health. For that purpose, a self-administered questionnaire was distributed to the boys of three high schools in Gyeonggi Province. Methods : The questionnaire consisted of items about the practice of oral health control and knowledge of decay according to grade, number of snacking, preferred taste, and toothbrushing. Total 487 questionnaires were put to analysis using the SPSS WIN 13.0 program. Results : 1. The biggest number of the boys brushed their teeth twice a day. The 10th graders brushed teeth three times a day, and the 11th and 12th graders tended to brush teeth twice a day(${\chi}^2$=18.21, p<.05). 2. As for the way of toothbrushing, 39.0% of the boys said they brushed teeth the way they felt like, being followed by those who said they brushed teeth turning the toothbrush up and down and brushing both the teeth and gums(32.6%). As for the number of snacking, those who had snacks three times a day or more brushed teeth turning the toothbrush up and down and brushing both the teeth and gums. Those who hardly had snacks more tended to brush teeth the way they felt like than those who had snacks(${\chi}^2$=21.28, p<.05). And as for preferred tastes, those who preferred a sweet and salty taste more tended to brush teeth the way they felt like than others. And those who preferred a hot taste brushed teeth turning the toothbrush up and down and brushing both the teeth and gums(${\chi}^2$=26.85, p<.01). 3. The respondents' percentage of correct answers for 'Decay is caused by bacteria' was 81.5%. Those who preferred a hot taste recorded the highest percentage of correct answers(${\chi}^2$=21.95, p<.00). 4. Their percentage of correct answers for 'Decay is accompanied by pain from the beginning' was 78.2%. The 12th graders had the highest rate of correct answers, and the 11th graders had the highest rate of wrong answers(${\chi}^2$=11.56, p<.00). 5. Their percentage of correct answers for 'Fluorine is helpful to the prevention of decay' was 75.4%. Those who hardly had snacks recorded the highest rate of correct answers(${\chi}^2$=10.05, p<.02). 6. Their percentage of correct answers for 'There is a way to supply fluorine into the waterworks' was 29.2%, which means the percentage of wrong answers was much higher. The percentage of wrong answers was the highest in the 11th grade(${\chi}^2$=7.06, p<.03). 7. The respondents' mean scores of knowledge of decay were 13.15 of total 18. While the 12th graders showed the highest level of knowledge of decay, the 11th graders were lower in the level of knowledge of decay than the other graders. And there were significant differences(F=5.41, p<.01) according to grade with no such differences according to the number of snacking and preferred taste. Conclusions : Oral health education should be applied to the boys all through their life to have a great effect, and it is important that they should always put the oral health education into practice to be a successful education.

Comparison of Mass and Nutrient Dynamics of Coarse Woody Debris between Quercus serrata and Q. variabilis Stands in Yangpyeong

  • Kim, RaeHyun;Son, Yowhan;Hwang, Jaehong
    • The Korean Journal of Ecology
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    • v.27 no.2
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    • pp.115-120
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    • 2004
  • Coarse woody debris (CWD, $\ge$ 5 cm in maximum diameter) is an important functional component, especially to nutrient cycling in forest ecosystems. To compare mass and nutrient dynamics of CWD in natural oak forests, a two-year study was conducted at Quercus serrata and Q. variabilis stands in Yangpyeong, Kyonggi Province. Total CWD (snag, stump, log and large branch) and annual decomposition mass (Mg/ha) were 1.9 and 0.4 for the Q. serrata stand and 7.5 and 0.5 for the Q. variabilis stand, respectively. Snags covered 72% of total CWD mass for the Q. variabilis stand and 42% for the Q. serrata stand. Most of CWD was classified into decay class 1 for both stands. CWD N and P concentrations for the Q. variabilis stand significantly increased along decay class and sampling time, except for P concentration in 2002. There were no differences in CWD N concentration for the Q. serrata stand along decay class and sampling time. However, CWD P concentration decreased along sampling time. CWD N and P contents (kg/ha) ranged from 3.5∼4.7 and 0.8∼1.3 for the Q. serrata stand to 22.8∼23.6 and 3.7∼4.7 for the Q. variabilis stand. Nitrogen and P inputs (kg/ha/yr) into mineral soil through the CWD decomposition were 0.7 and 0.3 for the Q. serrata stand and 1.6 and 0.3 for the Q. variabilis stand, respectively. The number of CWD and decay rate were main factors influencing the difference in CWD mass and nutrient dynamics between both stands.

Study of Localized Surface Plasmon Polariton Effect on Radiative Decay Rate of InGaN/GaN Pyramid Structures

  • Gong, Su-Hyun;Ko, Young-Ho;Kim, Je-Hyung;Jin, Li-Hua;Kim, Joo-Sung;Kim, Taek;Cho, Yong-Hoon
    • Proceedings of the Korean Vacuum Society Conference
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    • 2012.08a
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    • pp.184-184
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    • 2012
  • Recently, InGaN/GaN multi-quantum well grown on GaN pyramid structures have attracted much attention due to their hybrid characteristics of quantum well, quantum wire, and quantum dot. This gives us broad band emission which will be useful for phosphor-free white light emitting diode. On the other hand, by using quantum dot emission on top of the pyramid, site selective single photon source could be realized. However, these structures still have several limitations for the single photon source. For instance, the quantum efficiency of quantum dot emission should be improved further. As detection systems have limited numerical aperture, collection efficiency is also important issue. It has been known that micro-cavities can be utilized to modify the radiative decay rate and to control the radiation pattern of quantum dot. Researchers have also been interested in nano-cavities using localized surface plasmon. Although the plasmonic cavities have small quality factor due to high loss of metal, it could have small mode volume because plasmonic wavelength is much smaller than the wavelength in the dielectric cavities. In this work, we used localized surface plasmon to improve efficiency of InGaN qunatum dot as a single photon emitter. We could easily get the localized surface plasmon mode after deposit the metal thin film because lnGaN/GaN multi quantum well has the pyramidal geometry. With numerical simulation (i.e., Finite Difference Time Domain method), we observed highly enhanced decay rate and modified radiation pattern. To confirm these localized surface plasmon effect experimentally, we deposited metal thin films on InGaN/GaN pyramid structures using e-beam deposition. Then, photoluminescence and time-resolved photoluminescence were carried out to measure the improvement of radiative decay rate (Purcell factor). By carrying out cathodoluminescence (CL) experiments, spatial-resolved CL images could also be obtained. As we mentioned before, collection efficiency is also important issue to make an efficient single photon emitter. To confirm the radiation pattern of quantum dot, Fourier optics system was used to capture the angular property of emission. We believe that highly focused localized surface plasmon around site-selective InGaN quantum dot could be a feasible single photon emitter.

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Application of QUAL2E Model to Water Quality Prediction of the Nam river (남강의 수질예측을 위한 QUAL2E 모델 적용)

  • Choi, Hyoung-Sub;Park, Tae-Ju;Heo, Jong-Soo
    • Korean Journal of Environmental Agriculture
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    • v.14 no.1
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    • pp.7-14
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    • 1995
  • This research was conducted to apply the QUAL2E model to be adopted to the Nam river under current water quality conditions. The survey area of total 60 Km was divided into five reaches. Each reach was then subdivided into the uniform computational elements of 1.5 Km. Based on the stream characteristics, nine sampling stations consisting of six at main streams and three at tributaries were selected. The field data were obtained from the selected stations twice during October of 1991 and May of 1992, which represented the cold weather and low flow, also the warm weather and low flow conditions, respectively. As the results of sensitivity analysis of the model, the important parameters were the rates of BOD decay, Org-N oxidation, $NH_3-N$ oxidation, Org-P decay. The calibrated and verified results by QUAL2E model were correlation coefficient of $0.45{\sim}0.94$. The results displayed a good agreement between the variables of the field measurements and the model simulations, indicating a potential use of the QUAL2E model for the water quality assessment in the Nam River.

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FRF Distortion Caused by Exponential Window Function on Impact Hammer Testing and Its Solution (지수창함수를 사용한 임팩트햄머 실험에서 주파수응답함수의 왜곡과 개선책)

  • 안세진;정의봉
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.5
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    • pp.334-340
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    • 2003
  • Exponential window function Is widely used In impact hammer testing to reduce leakage error as well as to get a good S/N ratio. The larger its decaying rate is, the more effectively the leakage errors are reduced. But if the decay rate of the exponential window is too large, the FRF is distorted. And the modal parameters of the system can not be exactly identified by modal analysis technique. Therefore, it is a difficult problem to determine proper decay rate in impact hammer testing. In this paper, amount of the FRF distortion caused by exponential window is theoretically uncovered. A new circle fitting method is also proposed so that the modal parameters are directly extracted from impulse response spectrum distorted by the exponential-windowed impulse response data. The results by the conventional and proposed circle fitting method are compared through a numerical example.

Photoionization of N,N,N',N'-Tetramethyl-p-phenylenediamine in Polar Solvents

  • Min Yeong Lee;Du Jeon Jang;Minyung Lee;Du-Jeon Jang;Dongho Kim;Sun Sook Lee;Bong Hyun Boo
    • Bulletin of the Korean Chemical Society
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    • v.12 no.4
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    • pp.429-433
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    • 1991
  • The photoinduced electron transfer reactions of N,N,N',N'-tetramethyl-p-phenylenediamine (TMPD) in various polar solvents were studied by measuring time-resolved fluorescence. The temperature dependence on the fluorescence decay rate in acetonitrile, methanol, ethanol and buthanol was carried out to obtain the activation energy and Arrehnius factor for the photoinduced electron transfer reaction. It was found that as the dielectric constant of the solvent increases, the activation energy and the reaction rate increase. This implys that the Arrehnius factor is important in controlling the photoinduced electron transfer reaction rate. In water, TMPD exists in three forms (cationic, protonated and neutral forms) due to the high dielectric constant and strong proton donating power of water. The photoinduced electron transfer reaction was found to be very fast (< 50 ps) and also the long liverd component in the fluorescence decay profile attributable to the photoexcited protonated form of TMPD was observed. Probably, the reaction pathway and the reaction coordinate seem to be different depending on the solvents studied here.

Probe Diffusion in Polymer Solutions by Forced Rayleigh Scattering

  • Jaeyung Lee;Taiho Park;Jungmoon Sung;Sangwook Park;Taihyun Chang
    • Bulletin of the Korean Chemical Society
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    • v.12 no.5
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    • pp.569-574
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    • 1991
  • Methyl red diffusion in polymer solutions was studied by a transient holographic method, forced Rayleigh scattering. In semi-dilute solutions of a polystyrene, where no specific interaction with the probe exists, we found within experimental uncertainty that the retardation of diffusion rate of methyl red is independent of the solvents used. This indicates that the hydrodynamic interaction in polymer coils is not affected by the nature of solvents enough to exhibit a detectable change in the diffusion rate of the probe. On the other hand, a substantial reduction of diffusion rate was observed in poly(methyl methacrylate) solutions in toluene. Together with the similar observation reported with poly(vinyl acetate), it is confirmed that hydrogen bond between the probe and the polymer is responsible for the retarded diffusion. The decay-growth-decay profile found in this system reveals a finite difference in diffusion coefficients of cis and trans isomer of methyl red. We estimate the difference and suggest that the cis isomer interacts with the polymer more strongly than the trans isomer.

Experimental study of the influence of borehole parameters on prompt fission neutron uranium logging and its corrections

  • Pengfei Zhou;Bin Tang
    • Nuclear Engineering and Technology
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    • v.56 no.8
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    • pp.3090-3096
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    • 2024
  • In prompt fission neutron uranium logging, borehole environmental parameters affect the measured results and must be corrected. In order to explore the influence of borehole parameters on the interpretation of logging results, this paper builds a sandstone type uranium ore block model to simulate the field production drilling device based on the "Epithermal/Thermal neutron counting rate ratio" (E/T) theory. The effects of borehole diameter, thickness of iron tube and well fluid on the decay rate of epithermal and thermal neutrons and their uncertainty correction methods were investigated. The results show that the effect of borehole diameter on E/T is negligible. The iron tube thickness has a certain effect on the moderation and absorption of epithermal and thermal neutrons, and its E/T increases slightly with increasing thickness. The influence of iron tube thickness on E/T is corrected and the relative uncertainty is less than 5%. The well fluid thickness also affects the decay rate of epithermal and thermal neutrons, and its E/T follows the law of negative exponential attenuation. The influence of well fluid thickness on E/T is corrected and the relative uncertainty is less than 5%. This study provides technical guidance for field well survey of uranium deposit.

A Method for Determining Dead Times of a G.M. Defector as a Function of the Count Rate

  • Ro, Seung-Gy
    • Nuclear Engineering and Technology
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    • v.3 no.1
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    • pp.3-7
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    • 1971
  • A method for determining dead times of a G.M. detector as a function of the count rate has been investigated using the Mn$^{56}$ radioactive sample. The formula, (equation omitted), seems to be useful for determining a relation between the dead time and the count rate. Here (equation omitted)(N$_1$) is the dead time for the count rate N$_1$, N$_1$is the count rate at time zero, Nt is the count rate at time t, λ is the radioactive decay constant of the sample used, and t is the time between the first and second runs. When all the counting data were corrected for the dead times evaluated with this formula and then a variation of these corrected counting data with rime was observed, the results showed quite a good agreement with the published data for the radioactive decay of Mn$^{56}$ . Besides, it appears that the dead time decreases as the count rate increases in a dead time-to-count rate relation obtained by the same formula.

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