• Title/Summary/Keyword: POISSON

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Comparison of Free-Surface Boundary Conditions for Computing Wave Resistance (조파저항 계산을 위한 자유표면 조건의 비교)

  • Suak-Ho Van;Seung-Joon Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.2
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    • pp.54-65
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    • 1993
  • In computing the wave resistance numerically, satisfying the boundary condition(BC) on the body surface is not so difficult, and then what form of the BC on the free surface(FS) be used is a crucial question. To shed some light on this, we examine the various BC's on the FS, namely, the Poisson's[1], the Ogilvie's[2] and the Dawson's[3] BC, using the same panel method for submerged bodies in two-dimension. We also show the performance of the Poisson's BC for a submerged sphere and the Wigley hull. It seems that we are still in need of a theory which gives a BC on the FS more accurate than those tested, and more practically applicable than the exact nonlinear BC.

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Performance Evaluation of Set-top Box Energy Saving using Poisson Process Modeling (포아송 프로세스 모델링을 통한 셋톱박스 에너지 절감 성능 분석)

  • Kim, Yong-Ho;Kim, Hoon
    • Journal of The Institute of Information and Telecommunication Facilities Engineering
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    • v.10 no.1
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    • pp.33-39
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    • 2011
  • This paper considers a performance analysis of set-top box (STB) power saving schemes. STB converts the signal into content which is then displayed on the television (TV) screen, and there are typically two operation modes: on mode and stand-by mode. The total energy consumption (TEC), a typical measure of power consumption of STB, is defined by the sum of power consumption in each mode. Recently there are some works of STB power saving schemes that transit STB operation modes efficiently, and the mode transition time point of those schemes can be different. Thus it is required to develop a performance evaluation method that reflects mode transition time points of each scheme to get TEC correctly. This paper proposes a performance evaluation method for STB power consumption using Poisson process to consider the mode transition time point. By modeling STB mode transitions as events of Poisson process, the average time duration of STB mode is computed and accordingly the effect of power saving is evaluated. The performance evaluation result shows that the proposed method achieves 1 to 19% improvement in power consumption compared with a conventional performance evaluation method.

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Application of a Fast Parallel Poisson Solver to Barotropic Prediction Model (병렬화된 고속 보아송 방정식의 예측모델에의 적용)

  • Song, Chang-Geun;Lee, Sang-Deok
    • The Transactions of the Korea Information Processing Society
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    • v.4 no.3
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    • pp.720-730
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    • 1997
  • In this paper, we develp the code, called the fast parallel Poisson solver, which solves the poisson's equation of arbitraty dimension and parallelize it, And we apply the fast parallel poisson solver to the barotopic predic-tion model to explore the advantages of using it.In particular, we apply this model to the track forecasting of hurricane time required to integrate the barotropic model.A 72-h track prdeiciton was made by using time step of 16 minutes on a network of about 3000 grid points.The prediction 30 seconds on the 8-processor Alliant FX/8 mini supercomputer.It was a speed-up of 3.7 wen compared to the one-processor version.

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Development of Hourly Rainfall Simulation Technique Using RCP Scenario (RCP 시나리오를 활용한 시간강우량 자료 생성기법 개발)

  • Kim, Jin Young;Kim, Jang-Gyeong;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.6-6
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    • 2015
  • 본 연구에서는 일단위로 제공되는 RCP 시나리오를 Poisson Cluster 기법을 활용하여 시간강우량으로 생성할 수 있는 모형을 개발하는데 목적이 있다. 일반적으로 시간단위 강우량의 경우 수자원 설계 또는 강우-유출 분석시 가장 기본이 되는 입력 자료로서 이에 대한 모의기법 확립이 기후변화에 따른 수문학적 영향 검토의 신뢰성을 결정짓는 핵심 요소이다. 그러나 국내 다수 연구를 살펴보면 기후변화 시나리오의 시 공간적 상세화 기법을 활용한 일단위 상세화 연구는 다수 존재하였지만, 일단이 이하의 시간적 규모에 대한 연구는 미진한 실정이다. 이러한 이유로 본 연구에서는 시단위 상세화 기법시 일반적으로 사용되고 있는 Poisson Cluster 기법을 활용하여 국내 실정에 맞는 시단위 상세화 기법을 개발고자 한다. 본 연구에서는 RCP 시나리오를 시단위강우량 자료로 생성하기 위해 다음과 같은 연구를 진행하였다. 첫째, 본 연구에서는 기상청에서 제공하는 RCP($27km{\times}27km$) 시나리오를 활용하였으며, 1km 격자 단위로 시공간적 상세화 기법을 수행하였다. 둘째, 시공간적으로 상세화 된 자료를 Poisson Cluster 기법을 기반으로 시간단위 자료를 생성하였으며, 기본적인 통계치(평균, 분산, 왜곡도 등)를 활용하여 관측값과 비교 분석 하였다. 마지막으로, 미래 기후변화 시나리오를 동일한 방법으로 시간단위 자료를 생성하고 연 최대값을 추출하여 빈도해석을 통해 미래 극치 확률강우량을 평가하였다. 본 연구 결과 시간단위 자료를 제공함으로써 미래 수자원 설계 및 영향평가를 효과적으로 수행할 것으로 기대되며, 수문기상변화 예측을 위한 신뢰성 있는 자료로 활용될 수 있을 것으로 판단된다.

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SOME RESULTS RELATED WITH POISSON-SZEGÖKERNEL AND BEREZIN TRANSFORM

  • Yang, Gye Tak;Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.3
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    • pp.417-426
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    • 2011
  • Let ${\mu}$ be a finite positive Borel measure on the unit ball $B{\subset}{\mathbb{C}}^n$ and ${\nu}$ be the Euclidean volume measure such that ${\nu}(B)=1$. For the unit sphere $S=\{z:{\mid}z{\mid}=1\}$, ${\sigma}$ is the rotation-invariant measure on S such that ${\sigma}(S) =1$. Let ${\mathcal{P}}[f]$ be the Poisson-$Szeg{\ddot{o}}$ integral of f and $\tilde{\mu}$ be the Berezin transform of ${\mu}$. In this paper, we show that if there is a constant M > 0 such that ${\int_B}{\mid}{\mathcal{P}}[f](z){\mid}^pd{\mu}(z){\leq}M{\int_B}{\mid}{\mathcal{P}}[f](z){\mid}^pd{\nu}(z)$ for all $f{\in}L^p(\sigma)$, then ${\parallel}{\tilde{\mu}}{\parallel}_{\infty}{\equiv}{\sup}_{z{\in}B}{\mid}{\tilde{\mu}}(z){\mid}<{\infty}$, and we show that if ${\parallel}{\tilde{\mu}{\parallel}_{\infty}<{\infty}$, then ${\int_B}{\mid}{\mathcal{P}}[f](z){\mid}^pd{\mu}(z){\leq}C{\mid}{\mid}{\tilde{\mu}}{\mid}{\mid}_{\infty}{\int_S}{\mid}f(\zeta){\mid}^pd{\sigma}(\zeta)$ for some constant C.

GROUND STATE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SCHRÖDINGER-POISSON-KIRCHHOFF TYPEPROBLEMS WITH A CRITICAL NONLINEARITY IN ℝ3

  • Qian, Aixia;Zhang, Mingming
    • Journal of the Korean Mathematical Society
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    • v.58 no.5
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    • pp.1181-1209
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    • 2021
  • In the present paper, we are concerned with the existence of ground state sign-changing solutions for the following Schrödinger-Poisson-Kirchhoff system $$\;\{\begin{array}{lll}-(1+b{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_{{\mathbb{R}}^3}}}{\mid}{\nabla}u{\mid}^2dx){\Delta}u+V(x)u+k(x){\phi}u={\lambda}f(x)u+{\mid}u{\mid}^4u,&&\text{in }{\mathbb{R}}^3,\\-{\Delta}{\phi}=k(x)u^2,&&\text{in }{\mathbb{R}}^3,\end{array}$$ where b > 0, V (x), k(x) and f(x) are positive continuous smooth functions; 0 < λ < λ1 and λ1 is the first eigenvalue of the problem -∆u + V(x)u = λf(x)u in H. With the help of the constraint variational method, we obtain that the Schrödinger-Poisson-Kirchhoff type system possesses at least one ground state sign-changing solution for all b > 0 and 0 < λ < λ1. Moreover, we prove that its energy is strictly larger than twice that of the ground state solutions of Nehari type.

Characterization of a carbon black rubber Poisson's ratio based on optimization technique applied in FEA data fit

  • Lalo, Debora Francisco;Greco, Marcelo;Meroniuc, Matias
    • Structural Engineering and Mechanics
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    • v.76 no.5
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    • pp.653-661
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    • 2020
  • The paper presents a study regarding rubber compressibility behavior. The objective is to analyze the effect of compression degree of rubber on its mechanical properties and propose a new methodology based on reverse engineering to predict compressibility degree based on uniaxial stretching test and Finite Element Analysis (FEA). In general, rubbers are considered to be almost incompressible and Poisson's ratio is close to 0.5. Since this property is intimately related to the rubber packing density, little changes in Poisson's ratio can lead to significant changes regarding mechanical behavior. The deviatory hyperelastic constants were obtained through experimental data fitting by least squares method for the most relevant constitutive models implemented in commercial software Abaqus, such as: Neo-Hooke, Mooney-Rivlin, Ogden, Yeoh and Arruda-Boyce, whereas the hydrostatic part was determined through an optimization algorithm implemented in the Abaqus environment by Python scripting. The simulation results presented great influence of the Poisson's ratio in the rubber specimen mechanical behavior mainly for high strain levels. A conventional pure volumetric compression test was also carried out in order to compare the results obtained by the proposed methodology.

Nonlinear static analysis of composite cylinders with metamaterial core layer, adjustable Poisson's ratio, and non-uniform thickness

  • Eipakchi, Hamidreza;Nasrekani, Farid Mahboubi
    • Steel and Composite Structures
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    • v.43 no.2
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    • pp.241-256
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    • 2022
  • In this article, an analytical procedure is presented for static analysis of composite cylinders with the geometrically nonlinear behavior, and non-uniform thickness profiles under different loading conditions by considering moderately large deformation. The composite cylinder includes two inner and outer isotropic layers and one honeycomb core layer with adjustable Poisson's ratio. The Mirsky-Herman theory in conjunction with the von-Karman nonlinear theory is employed to extract the governing equations which are a system of nonlinear differential equations with variable coefficients. The governing equations are solved analytically using the matched asymptotic expansion (MAE) method of the perturbation technique and the effects of moderately large deformations are studied. The presented method obtains the results with fast convergence and high accuracy even in the regions near the boundaries. Highlights: • An analytical procedure based on the matched asymptotic expansion method is proposed for the static nonlinear analysis of composite cylindrical shells with a honeycomb core layer and non-uniform thickness. • The effect of moderately large deformation has been considered in the kinematic relations by assuming the nonlinear von Karman theory. • By conducting a parametric study, the effect of the honeycomb structure on the results is studied. • By adjusting the Poisson ratio, the effect of auxetic behavior on the nonlinear results is investigated.

Prediction of cyanobacteria population based on Poisson regression based on hydro-meteorological condition (수문기상 조건을 고려한 Poisson regression 기반의 Cyanobacteria 개체수 예측)

  • Cho, Hemie;Huong, Nguyen Thi;Moon, Jangwon;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.208-208
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    • 2020
  • 지구온난화와 하천환경의 변화로 수질 오염이 심각해지고 녹조 현상 등의 피해가 증가하고 있다. 특히, 기후변화로 인해 온도와 강우량의 변동성이 동시에 증가하고 있어 하천의 수환경 관리측면에서 어려움이 증가하고 있다. 최근 하천 개발 사업으로 인한 인공 구조물 축조로 하천의 오염도 변화는 중요한 논점으로 대두되었으며, 그에 따라 정확한 수질 전망이 요구되고 있다. 녹조평가에 있어 주요 대리변수(proxy variable)로 chlorophyll-a(Chl-a)가 사용되고 있지만, Chl-a는 규조류와 남조류(cyanobacteria) 모두에서 발견되는 지표로서, 녹조의 유해성을 Chl-a 수질 지표만을 사용하여 판단하기에는 한계가 있다. Chl-a뿐만 아니라 수질에 대한 유량, 온도, 영양염류 등의 영향 또한 기존 연구에서 밝혀진 바 있다. 하지만 기존의 물리기반의 결정론적모형은 수질의 추계학적(stochastic) 특성을 반영하는데 제한적이며, 다양한 수문기상학적 조건을 고려한 시나리오 기반의 분석을 수행하는데 한계가 있다. 따라서 본 연구에서는 특정 지점의 보 건설 이후 수문기상 자료를 이용하여 유해 남조류 개체수와 관계있는 수문기상학적 요인을 평가하고 최종적으로 Bayesian Poisson Regression 기반의 중·장기 녹조 예측 모형을 개발하였으며, 해설결과에 대한 불확실성 정보도 제공할 수 있도록 하였다.

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Statistical Voice Activity Detection Using Probabilistic Non-Negative Matrix Factorization (확률적 비음수 행렬 인수분해를 사용한 통계적 음성검출기법)

  • Kim, Dong Kook;Shin, Jong Won;Kwon, Kisoo;Kim, Nam Soo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.41 no.8
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    • pp.851-858
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    • 2016
  • This paper presents a new statistical voice activity detection (VAD) based on the probabilistic interpretation of nonnegative matrix factorization (NMF). The objective function of the NMF using Kullback-Leibler divergence coincides with the negative log likelihood function of the data if the distribution of the data given the basis and encoding matrices is modeled as Poisson distributions. Based on this probabilistic NMF, the VAD is constructed using the likelihood ratio test assuming that speech and noise follow Poisson distributions. Experimental results show that the proposed approach outperformed the conventional Gaussian model-based and NMF-based methods at 0-15 dB signal-to-noise ratio simulation conditions.