• Title/Summary/Keyword: ${\alpha}$-parameter

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EXISTENCE OF A POSITIVE SOLUTION TO INFINITE SEMIPOSITONE PROBLEMS

  • Eunkyung Ko
    • East Asian mathematical journal
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    • v.40 no.3
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    • pp.319-328
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    • 2024
  • We establish an existence result for a positive solution to the Schrödinger-type singular semipositone problem: $-{\Delta}u\,=\,V(x)u\,=\,{\lambda}{\frac{f(u)}{u^{\alpha}}}$ in Ω, u = 0 on ∂Ω, where Ω is a bounded domain in ℝN , N > 2, λ ∈ ℝ is a positive parameter, V ∈ L(Ω), 0 < α < 1, f ∈ C([0, ∞), ℝ) with f(0) < 0. In particular, when ${\frac{f(s)}{s^{\alpha}}}$ is sublinear at infinity, we establish the existence of a positive solutions for λ ≫ 1. The proofs are mainly based on the sub and supersolution method. Further, we extend our existence result to infinite semipositone problems with mixed boundary conditions.

A Study on Failure Characteristics and Reliability Prediction of the Rice Combine Harvester (콤바인 수확기(收穫機)의 고장특성(故障特性) 및 신뢰성(信賴性) 예측(豫測)에 관(關)한 연구(硏究))

  • Kim, H.K.;Chung, C.J.
    • Journal of Biosystems Engineering
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    • v.11 no.1
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    • pp.76-85
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    • 1986
  • This study was intended to examine the failure characteristics and breakdowns of the head-fed type combines generally used on farms. The failure distribution was assumed to follow Weibull distribution function and the Weibull parameters of the major parts, units and combine as whole were estimated by using the data collected in a survey. A computer program for the estimation of the Weibull parameter was developed. Monte Carlo method was used in predicting the time between failures. The results of study may be summarized as follows: 1. The number of failures per combine was 4.83 times per year and 0.3 times per hectare of combines of different ages. 2. According to the Kolmogorov-Smirnov test method, it was proved that the Weibull distribution function is well fitted to the characteristics of the failure and breakdowns of combines. 3. Weibull parameters of failure distribution of the combine as a whole were estimated to give the shape parameter ${\beta}$=1.3089 and the scale parameter ${\alpha}$=105.2409. The combining area with 80% reliability was 1.1 ha, and the probability of operating the combine without any failure for a year, was $2.76{\times}10^{-4}$. 4. The mean time between failures (MTBF) of the combines was predicted to be 3.2 ha of operation, which corresponds to 32 hours of operation.

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Large Scale Rainfall-runoff Analysis Using SWAT Model: Case Study: Mekong River Basin (SWAT 모형을 이용한 대유역 강우-유출해석: 메콩강 유역을 중심으로)

  • Lee, Dae Eop;Yu, Wan Sik;Lee, Gi Ha
    • Journal of The Korean Society of Agricultural Engineers
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    • v.60 no.1
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    • pp.47-57
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    • 2018
  • This study implemented the rainfall-runoff analysis of the Mekong River basin using the SWAT (Soil and Water Assessment Tool). The runoff analysis was simulated for 2000~2007, and 11 parameters were calibrated using the SUFI-2 (Sequential Uncertainty Fitting-version 2) algorithm of SWAT-CUP (Calibration and Uncertainty Program). As a result of analyzing optimal parameters and sensitivity analysis for 6 cases, the parameter ALPHA_BF was found to be the most sensitive. The reproducibility of the rainfall-runoff results decreased with increasing number of stations used for parameter calibration. The rainfall-runoff simulation results of Case 6 showed that the RMSE of Nong Khai and Kratie stations were 0.97 and 0.9, respectively, and the runoff patterns were relatively accurately simulated. The runoff patterns of Mukdahan and Khong Chaim stations were underestimated during the flood season from 2004 to 2005 but it was acceptable in terms of the overall runoff pattern. These results suggest that the combination of SWAT and SWAT-CUP models is applicable to very large watersheds such as the Mekong for rainfall-runoff simulation, but further studies are needed to reduce the range of modeling uncertainty.

Vibration Analysis of Thick Plates with Concentrated Mass on Elastic Foundation (탄성지지된 집중질량을 갖는 변단면 후판의 진동해석)

  • Kim, Il-Jung;Oh, Soog-Kyoung;Lee, Yong-Soo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.6 s.111
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    • pp.609-618
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    • 2006
  • This study is undertaken for the vibration analysis of tapered thick plate with concentrated mass on elastic foundation. The boundary condition of the plate is analyzed with the 4-sides simply supported and 4-fixed basis. This study find out the frequency following the change in size for each foundational variable on Pasternak foundation, one of the two-parameter elastic foundation parameter that considered the shear layer to the Winkler foundation parameter. The concentrated mass is applied with the consideration of mass of the entire plate, and the change of frequency is studies on each location with the consideration of reacting for the three locations for concentrated mass. And, in order to find out the change of frequency on the thickness of the plate, it considered tapered ratio that linearly changes depending on the length of the plate with the thickness of the plate in x-direction, and the tapered ratio has changes with 4 types ($\alpha$=0.25, 0, 5, 0.75, and 1.0). For the interpretation, the program using finite element method (F.E.M.) is used and the element coordination is used the 8-node serendipity element. Therefore, the purpose of this study is to find out the characteristics of plate vibration under the mechanica vibration or external vibration factor to facilitate as the basic data of the design to secure the stability.

Computational Study on Oligomer Formation of Fibril-forming Peptide of α-Synuclein

  • Park, Seong-Byeong;Yoon, Je-Seong;Jang, Soon-Min;Lee, Kyung-Hee;Shin, Seok-Min
    • Bulletin of the Korean Chemical Society
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    • v.33 no.3
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    • pp.848-854
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    • 2012
  • We have studied the oligomerization of a fibril-forming segment of ${\alpha}$-Synulcein using a replica exchange molecular dynamics (REMD) simulation. The simulation was performed with trimers and tetramers of a 12 amino acid residue stretch (residues 71-82) of ${\alpha}$-Synulcein. From extensive REMD simulations, we observed the spontaneous formation of both trimer and tetramer, demonstrating the self-aggregating and fibril-forming properties of the peptides. Secondary structure profile and clustering analysis illustrated that antiparallel ${\beta}$-sheet structures are major species corresponding to the global free energy minimum. As the size of the oligomer increases from a dimer to a tetramer, conformational stability is increased. We examined the evolution of simple order parameters and their free energy profiles to identify the process of aggregation. It was found that the degree of aggregation increased as time passed. Tetramer formation was slower than trimer formation and a transition in order parameters was observed, indicating the full development of tetramer conformation which is more stable than that of the trimer. The shape of free energy surface and change of order parameter distributions indicate that the oligomer formation follows a dock-and-lock process.

Chip Breaking Characteristics Depending on Equivalent Effective Rake Angle in Turning (외경선삭가공시 등가유효경사각에 따른 칩절단 특성)

  • Lee, Young-Moon;Chang, Seung-Il;Sun, Jeong-Woo;Yun, Jong-Hoon
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.3 no.2
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    • pp.25-31
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    • 2004
  • Machinability in metal cutting processes depends on cutting input conditions such as cutting velocity, feed rate, depth of cut, types of work material and tool shape factors. In this study, to assess chip breaking characteristics of a turning process, an equivalent oblique cutting system to this has been established. And the equivalent effective rake angle was determined using side rake angle, back rake angle and side cutting edge angle of the tool. A non-dimensional parameter, Chip breaking index(CB), was used to assess Chip breaking characteristics of chip in conjunction with the equivalent effective rake angle. In case of positive rake angles of the equivalent effective rake, the back rake angle has little effect on the chip breaking characteristics however, in case of negative ones, the side rake angle has some effect on Chip breaking characteristics.

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A Study on the Effect of Processor Stack Frame Mechanism on Secure Programming in C Language (C 언어에서 프로세서의 스택관리 형태가 프로그램 보안에 미치는 영향)

  • 이형봉;차홍준;노희영;이상민
    • The KIPS Transactions:PartC
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    • v.8C no.1
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    • pp.1-11
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    • 2001
  • There are several traditional factors of software quality. Some of them are such as correctness, reliability, efficiency, compatibility, portability, etc. In addition to them, security is required as another factor of software quality nowadays because some application programs are used as a way to attack information systems by stack frame manipulation. Each processor has its own peculiar stack frame mechanism and C language uses the characteristics of them. This paper explains the concept of security problem caused by stack frame manipulation, and the stack frame mechanism of Pentium, Alpha and SP ARC processor in detail. And then it examines the effect of stack frame mechanism on the security of programs in C language.

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Nonlinear analysis of cardiotonic effect of acupuncture treatment on heart rate variability assessed by 24-hour Holter monitoring (침처치의 24시간 심박변이도 영향에 대한 비선형 분석)

  • Oh, Dal-Seok;Lee, Jeon;Kim, Jong-Yeol;Choi, Sun-Mi
    • Korean Journal of Oriental Medicine
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    • v.14 no.1
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    • pp.85-89
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    • 2008
  • This study is to investigate cardiotonic effect of acupuncture on heart rate variability(HRV) analyzed by a nonlinear way(DFA, Detrended Fluctuation Analysis). It was designed as a randomized, single-blind, waiting list-controlled, cross-over study. We assessed heart rate and R-R intervals in Circadian electrocardiography with a Holter monitoring device for twelve hospitalized participants. The compatible analytical program, Zymed, was used for generating the signals of R-R intervals from 24 hour-ECG. In DFA analysis, we produced DFA alpha 1, alpha 2 parameters according to the process of Cygwin module of Linux server. We tested if there was any difference between HRV parameters using SPSS, a statistical package. There was no difference between acupuncture and no treatment group in DFA alpha 2 parameter {95% Confidence Interval (-)0.058 - 0.037, P = .565}. Two group all showed large intra-individual variations. Consequently, acupuncture treatment did not modulate the complexity of HRV in a DFA analysis. This study can be a rationale for acupuncture's properties on cardiovascular and autonomic systems.

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A Comparison of EEG Response between TV Advertisements focused on Information Transfer and Emotional Reaction (정보전달형 TV광고와 감성유발형 TV광고의 뇌파반응 비교)

  • Kim, Jeong-Ryong;Park, Ji-Su;Kim, Mi-Suk
    • Journal of the Ergonomics Society of Korea
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    • v.22 no.4
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    • pp.1-13
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    • 2003
  • This study has investigated psychological responses to various TV advertisements by using EEG(electroencephalogram). In particular, it was assumed that the brain wave would show different patterns depending upon the style of the advertisement that could be categorized into two such as 'information transfer' type and 'emotional reaction' type. Ten healthy males participated in the experiment. EEG signal was extracted from six lobes such as right and left frontal, right and left occipital, right and left temporal while the subjects were watching TV advertisements. Alpha and beta relative power spectrum, and beta/alpha parameter were calculated to compare two kinds of advertisement each other. Additionally, subjective questionnaire was used to examine subject's response by using adjective words and preference test. In result, significant differences were found in left frontal and right occipital lobe in terms of beta/alpha between two different advertisements. And, subjects showed different preference between two advertisements. It was shown that the current method could analyze the brain reaction to advertisement quantitatively, that presented the possibility of using it to marketing research.

Development of Submersible Axial Pump for Wastewater (폐수 처리용 수중 축류 펌프 개발)

  • Yun, Jeong-Eui
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.37 no.2
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    • pp.149-154
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    • 2013
  • This study was performed to develop a high efficiency submersible axial pump for concentration wastewater treatment. To do this, we simulated the effect of some parameters such as the axial twist angle of a blade(${\beta}$), the radial twist angle of a blade(${\alpha}$) and the length of a blade (l) on pump efficiency using commercial code, ANSYS CFX and BladeGen. The results showed that the axial twist angle of a blade(${\beta}$) was the most sensible parameter on the pump efficiency. And the pump efficiency had a maximum at ${\beta}=20^{\circ}$, ${\alpha}=110^{\circ}$ and l=240 mm.