• 제목/요약/키워드: Theta function

검색결과 250건 처리시간 0.031초

수치해석을 이용한 자연하천의 하도추적에 관한 기초적연구 (A Basic Study on the River Basin Routing Using Numerical Analysis)

  • 김성원;고병련;고창종
    • 상하수도학회지
    • /
    • 제12권2호
    • /
    • pp.127-139
    • /
    • 1998
  • The objectives of this study is at the development of the channel routing model which can be used for flood prediction. Among the routing models, the hydraulic technique of the implicit scheme in the dynamic equation is selected to route the unsteady varied flow in the open channel. The channel routing model is catchment runoff which computed by the conceptual and transfer function model. The conceptual and transfer function model can simulate the catchment runoff accurately. As a result of investigating the channel routing model, the optimal weighting factor ${\theta}$ which fixes two points between time line is chosen, and also, the optimal error tolerance which satisfies computing time and converge of solution is determined in this study.

  • PDF

MULTIPLE SOLUTIONS FOR EQUATIONS OF p(x)-LAPLACE TYPE WITH NONLINEAR NEUMANN BOUNDARY CONDITION

  • Ki, Yun-Ho;Park, Kisoeb
    • 대한수학회보
    • /
    • 제53권6호
    • /
    • pp.1805-1821
    • /
    • 2016
  • In this paper, we are concerned with the nonlinear elliptic equations of the p(x)-Laplace type $$\{\begin{array}{lll}-div(a(x,{\nabla}u))+{\mid}u{\mid}^{p(x)-2}u={\lambda}f(x,u) && in\;{\Omega}\\(a(x,{\nabla}u)\frac{{\partial}u}{{\partial}n}={\lambda}{\theta}g(x,u) && on\;{\partial}{\Omega},\end{array}$$ which is subject to nonlinear Neumann boundary condition. Here the function a(x, v) is of type${\mid}v{\mid}^{p(x)-2}v$ with continuous function $p:{\bar{\Omega}}{\rightarrow}(1,{\infty})$ and the functions f, g satisfy a $Carath{\acute{e}}odory$ condition. The main purpose of this paper is to establish the existence of at least three solutions for the above problem by applying three critical points theory due to Ricceri. Furthermore, we localize three critical points interval for the given problem as applications of the theorem introduced by Arcoya and Carmona.

System Size and Service Size Distributions of a Batch Service Queue

  • Lee, Soon-Seok;Lee, Ho-Woo;Yoon, Seung-Hyun;Nadrajan, R.
    • 한국경영과학회지
    • /
    • 제18권3호
    • /
    • pp.179-186
    • /
    • 1993
  • We derive the arbitrary time point system size distribution of M/ $G^{B}$1 queue in which late arrivals are not allowed to join the on-going service. The distribution is given by P(z) = $P_{4}$(z) $S^{*}$ (.lambda.-.lambda.z) where $P_{4}$ (z) is the probability generating function of the queue size and $S^{*}$(.theta.) is the Laplace-Stieltjes transform of the service time distribution function. We also derive the distribution of the service siez at arbitrary point of time. time.

  • PDF

원심압축기 임펠러의 형상 설계 최적화에 관한 수치적 연구 (A Numerical Study on Shape Design Optimization for an Impeller of a Centrifugal Compressor)

  • 서정민;박준영;최범석
    • 한국유체기계학회 논문집
    • /
    • 제17권3호
    • /
    • pp.5-12
    • /
    • 2014
  • This paper presents a design optimization for meridional profile and blade angle ${\theta}$ of a centrifugal compressor with DOE (design of experiments) and RSM (response surface method). Control points of the $3^{rd}$ order Bezier curve are used for design parameters and specific overall efficiency is used as object function. The response surface function shows good agreement with the 3D computational results. Three different optimized designs are proposed and compared with reference design at design point and off-design point. Contours of relative Mach number, static entropy, and total pressure are analyzed for improvement of performance by optimization. Off-design performance analysis is conducted by total pressure and efficiency.

液體金屬의 常態和 (A Partition Function for Liquid Metals)

  • 김완규
    • 대한화학회지
    • /
    • 제6권1호
    • /
    • pp.36-46
    • /
    • 1962
  • 筆者는 週期表 1族에 適用되는 液體金屬의 模型으로서 純粹한 液體金屬은 2原子分子의 單振動子로 構成되면 이 振動子는 自己가 古有하는 싸이트(site)種에 따라 두가지 에너지狀態中 하나를 取하게 된다고 假想함으로써 液體狀態和를 誘導하였다. 이 狀態和食은 本質的으로는 하나의 物質固有의 常數(${\Theta}$)를 內包하고 있으며 液體金屬에 대하여 이 特性値를 줌으로써 여러가지 熱力學的 性質 즉 蒸氣壓, 液體의 엔트로리, 比熱 等을 算出하여 實測値와 比較하여 보았다. 그 結果는 滿足스러운 一致를 보여준다.

  • PDF

청소년의 자기효능감 영향 요인 (The Influencing Factors on Adolescent's Self-Efficacy)

  • 전은영
    • 동서간호학연구지
    • /
    • 제11권2호
    • /
    • pp.116-123
    • /
    • 2005
  • Purpose: The purpose of this study was to analyze the influencing factors on adolescent's self-efficacy. Method: This was a descriptive study. The data were collected from 7th through 12th graders(N=1710) enrolled in middle schools(N=873) and high schools(N=837) in the metropolitan area of Daegu. The instruments had used for this study were the self-efficacy, the life event checklist, and Family APGAR. The data were analyzed using frequency, t-test, Pearson correlation coefficient, and multiple regression analysis. Result: Pearson correlation analysis revealed that there were negative correlations between the self-efficacy and the stress. However, in case of the subjects who recorded higher scores at self-efficacy they showed higher scores at family function. Stepwise multiple regression analysis revealed that powerful predictors of adolescent's self-efficacy were family function and relations of schoolmate. Conclusion: From these results, we can find that the family function and relations of schoolmate were actual factors theta affected the self-efficacy of adolescents. Accordingly, affirmative emotion in family, harmonic communication among family members and sharing housekeeping works is recommended as a useful method in order to enhance the family function, and then the self-efficacy of adolescence will be increased.

  • PDF

자본시장(資本市場)의 경제적(經濟的) 효율성(效率性)에 관한 연구(硏究) (A Study on the Economic Efficiency of Capital Market)

  • 남수현
    • 재무관리연구
    • /
    • 제2권1호
    • /
    • pp.55-75
    • /
    • 1986
  • This article is to analyse the economic efficiency of capital market, which plays a role of resource allocation in terms of financial claims such as stock and bond. It provides various contributions to the welfare theoretical aspects of modern capital market theory. The key feature that distinguishes the theory described here from traditional welfare theory is the presence of uncertainty. Securities has time dimensions and the state and outcome of the future are really uncertain. This problem resulting from this uncertainty can be solved by complete market, but it has a weak power to explain real stock market. Capital Market is faced with the uncertainity because it is a kind of incomplete market. Individuals and firms in capital market made their consumption-investment decision by their own criteria, i. e. the maximization of expected utility form intertemporal consumption and the maximization of the market value of firm. We noted that allocative decisions that had to be made in the economy could be naturally subdivided into two groups. One set of decisions concerned the allocation of first-period resources among consumption $C_i$, investment in risky firms $I_j$, and riskless investment M. The other decisions concern the distribution among individuals of income available in the second period $Y_i(\theta)$. Corresponing to this grouping, the theoretical analysis of efficiency has also been dichotomized. The optimality of the distribution of output in the second period is distributive efficiency" and the optimality of the allocation of first-period resources is 'the efficiency of investment'. We have found in the distributive efficiency that the conditions for attainability is the same as the conditions for market optimality. The necessary and sufficient conditions for attainability or market optimality is that (1) all utility functions are such that -$\frac{{U_i}^'(Y_i)}{{U_i}^"(Y_i)}={\mu}_i+{\lambda}Y_i$-linear risk tolerance function where the coefficients ${\mu}_i$ and $\lambda$ are independent of $Y_i$, and (2) there are homogeneous expectations, i. e. ${\Large f}_i(\theta)={\Large f}(\theta)$ for every i. On the other hand, the efficiency of investment has disagreement about optimal investment level. The investment level for market rule will not generally lead to Pareto-optimal allocation of investment. This suboptimality is caused by (1)the difference of Diamond's decomposable production function and mean-variance valuation model and (2) the selection of exelusive investment or competitive investment. In conclusion, this article has made an analysis of conditions and processes of Pareto-optimal allocation of resources in capital marker and tried to connect with significant issues in modern finance.

  • PDF

관상동맥질환에서 심장풀 스캔의 육안적 평가에 대한 ROC 분석 (ROC Analysis of Visual Assessments Made in Gated Blood Pool Scans of Patients with Coronary Artery Disease)

  • 이경한;최윤호;이범우;문대혁;궁성수;정준기;이명철;고창순
    • 대한핵의학회지
    • /
    • 제23권2호
    • /
    • pp.175-181
    • /
    • 1989
  • Visual assessment of regional wall motion abnormality (RWMA) by gated blood pol scan (GBPS) serves as an useful parameter in the diagnosis, functional evaluation, and follow up in various clinical settings, but are still subject to some inherent limitations. On important problem may be the interobserver as well as intraobsever variation that may well be present due to the subjective nature of the interpretations. This study was carried out to determine the reliability and reproducibility of visual assessments made in GBPSs, and to observe the degree to which the results would be influenced by observer variation. Fifty two patients with coronary heart disease had resting GBPS and contrast ventriculography within 4 days appall. Contrast ventriculography-showed normal wall motion in 6 patients and the remaining 46 had RWMA in one or more segments. The anterior and left anterolateral views of all 52 GBPSs were analyzed by three independent observers, who selected from 5 scales, their level of confidence that there was RWMA in that segment. Reciever operating characteristic (ROC) curves for each analysis was plotted and the area under the curve $(\theta)$ was used as a parameter representing each observer's performance in his interpretations. The findings of contrast ventriculographies were used as the standard for RWMA. The apical and inferoapical segments showed the best correlation with contrast ventriculography ($\theta=0.90-0.94$, 0.81-0.94, respectively), and the inferior wall showed the poorest correlation $(\theta=0.70-0.74)$. The interpretations of the inferior, septal, apical, and posteroinferior, segments showed no difference between the observers, but there was significantly better performance in assessment by observer A compared to that by B or C for the anterolateral segments ($\theta=0.87$, 0.78, 0.76, respectively. p<0.01 for A vs B, p<0.05 for A vs C), as well as when all segments were considered altogether ($\theta=0.88$, 0.83, 0.82, respectively. both p<0.05). This was also true for the infero-apical segment between A and C ($\theta=0.09$, 0.81, p<0.05). The intraobserver variation, however, did not appear significant, with only the inferior segment for observer B showing any significant difference when observer A and B repeated the analysis 10 days latter. There was no difference in assessing dyskinesia, with all observers showing a high performance ($\theta=0.98$, 0.87, 0.97, respectively). The visual assessment of left ventricular ejection fraction by all three observers correlated well with the calculated value from a semiautomated method (Spearman's r = 0.91, 0.83, 0.83. p<0.01, p<0.05, p < 0.05). The assessment of LV and RV size also correlated well between the three observers (Kendall's w = 0.80, 0.51, p<0.01 for both left and right ventricles). The above findings suggest that RWMA visually assessed by GBPS correlates well with that done by contrast ventriculography. And although the observer's experience or skill may influence the results in certain segments, visual analysis of GBPS may serve as a reliable and reproducible means for evaluating ventricular function.

  • PDF

온도에 대한 돌피(Echinochloa crus-galli) 종자의 발아반응 (Germination Responses of Echinochloa crus - galli Seeds to Temperature)

  • 이호준;성미선;류병혁
    • The Korean Journal of Ecology
    • /
    • 제17권3호
    • /
    • pp.367-378
    • /
    • 1994
  • 돌피(Echinochloa crus-galli (L.) Beauv.) 종자는 산포 직후 상온에서 휴면상태로 발아가 억제되고 있으나 저장기간이 지나면서 휴면이 타파되어 7~17개월후에 16~40$^{\circ}C$의 온도에서 85~95%의 최대발아율을 나타내었다. 돌피종자가 10~70% 발아하는데 요구되는 적산온도는 539~1,279Kh (degree kelvinXhours)이며 적산온도 분포함수인 F($\theta$)=1-[3D-3($\theta$-m+D)3+1]-1/2와 일치하였고 m과 D의 값은 각각 935Kh와 555kh로 나타났다. 2$^{\circ}C$에서 냉습처리한 후, 16~40$^{\circ}C$의 항온 조건하에 4$^{\circ}C$ 간격으로 처리한 돌피종자는 최종발아율과 발아속도가 대조구에 비해 증가하였다. IT regime에 있어서는 12$^{\circ}C$부터 발아속도가 증가하여 24$^{\circ}C$에서 최종발아율이 80%가 되었으며, DT regime은 24$^{\circ}C$에서 0$^{\circ}C$로 하강하는 동안 12$^{\circ}C$에서부터 발아가 시작되었으며(발아율 10%), 8$^{\circ}C$에서 20%의 최종발아율을 나타내었고 4$^{\circ}C$부터는 2차 휴면이 유도되었다. 돌피종자는 비교적 넓은 발아기능 온도범위를 가지고 있으며 개체군내의 발아시기조절에 의해 다양한 환경변화에서도 잘 적응할 수 있으며 변온과 겨울의 저온에 의해 휴면이 타파되고 봄의 기온상승과 함께 발아하는 봄발아형 종자임을 알 수 있었다.

  • PDF

Copper Loss and Torque Ripple Minimization in Switched Reluctance Motors Considering Nonlinear and Magnetic Saturation Effects

  • Dowlatshahi, Milad;Saghaiannejad, Sayed Morteza;Ahn, Jin-Woo;Moallem, Mehdi
    • Journal of Power Electronics
    • /
    • 제14권2호
    • /
    • pp.351-361
    • /
    • 2014
  • The discrete torque generation mechanism and inherently nonlinear magnetic characterization of switched reluctance motors lead to unacceptable torque ripples and limit the application of these motors. In this study, a phase current profiling technique and torque sharing function are proposed in consideration of magnetic saturation effects and by minimizing power loss in the commutation area between the adjacent phases. Constant torque trajectories are considered in incoming and outgoing phase current planes based on nonlinear T-i-theta curves obtained from experimental measurements. Optimum points on constant torque trajectories are selected by improving drive efficiency and minimizing copper loss in each rotor position. A novel analytic invertible function is introduced to express phase torque based on rotor position and its corresponding phase current. The optimization problem is solved by the proposed torque function, and optimum torque sharing functions are derived. A modification method is also introduced to enhance the torque ripple-free region based on simple logic rules. Compared with conventional torque sharing functions, the resultant reference current from the proposed method has less peak and effective values and exhibits lower copper loss. Experimental and simulation results from a four-phase 4 KW 8/6 SRM validate the effectiveness of the proposed method.