• 제목/요약/키워드: logarithmic source

검색결과 38건 처리시간 0.021초

EXISTENCE AND GENERAL DECAY FOR A VISCOELASTIC EQUATION WITH LOGARITHMIC NONLINEARITY

  • Ha, Tae Gab;Park, Sun-Hye
    • 대한수학회지
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    • 제58권6호
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    • pp.1433-1448
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    • 2021
  • In the present work, we investigate a viscoelastic equation involving a logarithmic nonlinear source term. After proving the existence of solutions, we establish a general decay estimate of the solution using energy estimates and theory of convex functions. This result extends and complements some previous results of [9, 21].

BLOW UP OF SOLUTIONS FOR A PETROVSKY TYPE EQUATION WITH LOGARITHMIC NONLINEARITY

  • Jorge, Ferreira;Nazli, Irkil;Erhan, Piskin;Carlos, Raposo;Mohammad, Shahrouzi
    • 대한수학회보
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    • 제59권6호
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    • pp.1495-1510
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    • 2022
  • This paper aims to investigate the initial boundary value problem of the nonlinear viscoelastic Petrovsky type equation with nonlinear damping and logarithmic source term. We derive the blow-up results by the combination of the perturbation energy method, concavity method, and differential-integral inequality technique.

라플라스 신호원에 대한 최소평균제곱오차 홑 양자기의 지지역에 관하여 (On the Support of Minimum Mean-Square Error Scalar Quantizers for a Laplacian Source)

  • 김성민;나상신
    • 한국통신학회논문지
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    • 제31권10C호
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    • pp.991-999
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    • 2006
  • 이 논문은 라플라스 밀도 함수에 대한 최적 흩 양자기의 지지역의 증가는 양자점의 개수와 대수적인 관계가 있음을 보여준다. 구체적으로, 분산이 1인 라플라스 밀도함수에 대해서 양자정의 개수 N이 증가할 때 최적 양자기의 경계값에 의해 결정되는 지지역과 $\frac 3{\sqrt{2}}1n\frac N 2$의 비율이 1로 수렴함을 보여준다. 또한 극한 상한값을 유도하여 최적 지지역의 로그적 증가가 그 값을 초과하지 않음을 보였다. 이 결과들로부터 이전부터 경험적으로 연구되어 온 최적 지지역의 로그 증가를 확인 할 수 있다.

Micrococcus sp. MS-64K에 의한 Trichloroethylene의 분해특성 및 Kinetics (Biodegradation and Kinetics of Trichloroethylene by Micrococcus sp. MS-64K)

  • 김종수;박근태
    • 한국환경과학회지
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    • 제6권5호
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    • pp.481-488
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    • 1997
  • Microorganisms capable of degrading trlchloroethylene(TCEI using phenol as a induction substrate were isolated from industrial effluents and soil. The strain MS-64K which had the highest blodegradablllty was identified as the genus Micrococcus. The optimal conditions of medium for the growth and blodegadatlon of trlchloroethylene were observed as follows; the initial pH 7.0, trlchloroethylene 1, 000ppm as the carbon source, 0.2% ${(NH_4)}_2SO_4$, as the nitrogen source. respectively. Lag period and degradation time on optimal medium were shorter than those on Isolation medium. Growth on the optimal medium was Increased. Addition of 0.1% Triton X-100 Increased the growth rate of Micrococcus sp. MS-64K, but degradation was equal to optimal medium. Trlchloroethylene degradation by Micrococcus sp. MS-64K was shown to fit logarithmic model when the compound was added at initial concentration of 1, 000ppm.

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근거리 지진관측자료의 S파를 이용한 지진규모 평가 연구 (A Study on Estimating Earthquake Magnitudes Based on the Observed S-Wave Seismograms at the Near-Source Region)

  • 연관희;최신규;이강렬
    • 한국지진공학회논문집
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    • 제28권3호
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    • pp.121-128
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    • 2024
  • There are growing concerns that the recently implemented Earthquake Early Warning service is overestimating the rapidly provided earthquake magnitudes (M). As a result, the predicted damages unnecessarily activate earthquake protection systems for critical facilities and lifeline infrastructures that are far away. This study is conducted to improve the estimation accuracy of M by incorporating the observed S-wave seismograms in the near source region after removing the site effects of the seismograms in real time by filtering in the time domain. The ensemble of horizontal S-wave spectra from at least five seismograms without site effects is calculated and normalized to a hypocentric target distance (21.54 km) by using the distance attenuation model of Q(f)=348f0.52 and a cross-over distance of 50 km. The natural logarithmic mean of the S-wave ensemble spectra is then fitted to Brune's source spectrum to obtain the best estimates for M and stress drop (SD) with the fitting weight of 1/standard deviation. The proposed methodology was tested on the 18 recent inland earthquakes in South Korea, and the condition of at least five records for the near-source region is sufficiently fulfilled at an epicentral distance of 30 km. The natural logarithmic standard deviation of the observed S-wave spectra of the ensemble was calculated to be 0.53 using records near the source for 1~10 Hz, compared to 0.42 using whole records. The result shows that the root-mean-square error of M and ln(SD) is approximately 0.17 and 0.6, respectively. This accuracy can provide a confidence interval of 0.4~2.3 of Peak Ground Acceleration values in the distant range.

EMG 신호에서의 비례제어신호 추정에 관한 연구 (Estimation of Proportional Control Signal from EMG)

  • 최광현;변윤식;박상희
    • 대한의용생체공학회:의공학회지
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    • 제5권2호
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    • pp.133-142
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    • 1984
  • The EMG signal can be considered as a signal source that expresses the intention of man because it is a electrical signal generated when the man contracts muscles. For proportional control of prostheses, the control signal proportional to the mousle contraction level must be estimated. Typically a foul-wave rectifier and low-pass filter are used to estimate the proportional control signal from the EMG signal. In this paper, it is proposed to use a logarithmic transformation and a linear minimum mean square error estimator. A logarithmic transformation maps the myoelectric signal into an additive control signal-plus-noise domain and the Kalman filter is used to estimate the control signal as a linear minimum mean square error estimator. The performance of this estimator is verified by the computer simulation and the estimator is applied to the EMG obtained from the biceps brachii muscle of normal subjects.

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와이어.이온.플라즈마원의 방전 특성 (Discharge Characteristics of Wire Ion Plasma Source)

  • 고광철;굴전영희
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1997년도 하계학술대회 논문집 E
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    • pp.1776-1778
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    • 1997
  • WIPS is a plasma device which has a wire anode, a coaxially-set cylindrical cathode, and aperture electrodes located in both ends of the cylinder. This electrode configuration forces the potential between the anode and the cathode to change logarithmically with radial direction. Since electrons are confined this logarithmic potential, the high-density plasma is produced even at a rather low anode voltage. In this paper we investigate characteristics of dc and pulse discharges, in which

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Wide Dynamic Range CMOS Image Sensor with Adjustable Sensitivity Using Cascode MOSFET and Inverter

  • Seong, Donghyun;Choi, Byoung-Soo;Kim, Sang-Hwan;Lee, Jimin;Shin, Jang-Kyoo
    • 센서학회지
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    • 제27권3호
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    • pp.160-164
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    • 2018
  • In this paper, a wide dynamic range complementary metal-oxide-semiconductor (CMOS) image sensor with the adjustable sensitivity by using cascode metal-oxide-semiconductor field-effect transistor (MOSFET) and inverter is proposed. The characteristics of the CMOS image sensor were analyzed through experimental results. The proposed active pixel sensor consists of eight transistors operated under various light intensity conditions. The cascode MOSFET is operated as the constant current source. The current generated from the cascode MOSFET varies with the light intensity. The proposed CMOS image sensor has wide dynamic range under the high illumination owing to logarithmic response to the light intensity. In the proposed active pixel sensor, a CMOS inverter is added. The role of the CMOS inverter is to determine either the conventional mode or the wide dynamic range mode. The cascode MOSFET let the current flow the current if the CMOS inverter is turned on. The number of pixels is $140(H){\times}180(V)$ and the CMOS image sensor architecture is composed of a pixel array, multiplexer (MUX), shift registers, and biasing circuits. The sensor was fabricated using $0.35{\mu}m$ 2-poly 4-metal CMOS standard process.

Preliminary Proteomic Analysis of Thiobacillus ferrooxidans Growing on Elemental Sulphur and Fe2+ Separately

  • He, Zhi-guo;Hu, Yue-Hua;Zhong, Hui;Hu, Wei-Xin;Xu, Jin
    • BMB Reports
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    • 제38권3호
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    • pp.307-313
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    • 2005
  • Thiobacillus ferrooxidans is one of the most important bacterium used in bioleaching, and can utilize $Fe^{2+}$ or sulphide as energy source. Growth curves for Thiobacillus ferrooxidans have been tested, which show lag, logarithmic, stationary and aging phases as seen in other bacteria. The logarithmic phases were from 10 to 32 hours for Thiobacillus ferrooxidans cultivated with $Fe^{2+}$ and from 4 to 12 days for Thiobacillus ferrooxidans cultivated with elemental sulphur. Differences of protein patterns of Thiobacillus ferrooxidans growing on elemental sulphur and $Fe^{2+}$ separately were investigated after cultivation at $30^{\circ}C$ by the analysis of two-dimensional gel electrophoresis (2-DE), matrix-assisted laser desorption/ ionization (MALDI)-Mass spectrometry and ESI-MS/MS. From the 7 identified protein spots, 11 spots were found more abundant when growing on elemental sulphur. By contrast 6 protein spots were found decreased at elemental cultivation condition. Among the proteins identified, cytochrome C have been previously identified as necessary elements of electron-transfering pathway for Thiobacillus ferrooxidans to oxidize $Fe^{2+}$; ATP synthase alpha chain and beta are expressed increased when Thiobacillus ferrooxidans cultivated with $Fe^{2+}$ as energy source. ATP synthase Beta chain is the catalytic subunit, and ATP synthase alpha chain is a regulatory subunit. The function of ATPase produces ATP from ADP in the presence of a proton gradient across the membrane.

SCW형 지중 열교환기의 지중 열전도도 해석에서 초기제외시간 결정에 관한 연구 (A Study on the Determining Initial Ignoring Time for the Analysis of Ground Thermal Conductivity of SCW Type Ground Heat Exchanger)

  • 장근선;김민준;김영재
    • 설비공학논문집
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    • 제26권10호
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    • pp.453-459
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    • 2014
  • This paper presents an analysis on the initial ignoring time of SCW type GHX using Mean Square Error method. Line source method is a useful method for estimating the ground thermal conductivity for the vertical type and SCW type GHX in Korea. The line source method for ground thermal conductivity of geothermal in-site test is the basis of linear approximation between the temperature of a borehole and logarithmic time in a GHX. To apply the line source method to the estimation of SCW type GHX, it is necessary to ignore the initial time of data at the stage of a linear approximation. This paper proposed a new initial ignoring time of SCW type GHX among various initial ignoring time at the time for reaching MSE of $0.02^{\circ}C^2$.