• Title/Summary/Keyword: 베르누이 수

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Effective Parameter Estimation of Bernoulli-Gaussian Mixture Model and its Application to Image Denoising (베르누이-가우스 혼합 모델의 효과적인 파라메터 추정과 영상 잡음 제거에 응용)

  • Eom, Il-Kyu;Kim, Yoo-Shin
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.42 no.5 s.305
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    • pp.47-54
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    • 2005
  • In general, wavelet coefficients are composed of a few large coefficients and a lot of small coefficients. In this paper, we propose image denoising algorithm using Bernoulli-Gaussian mixture model based on sparse characteristic of wavelet coefficient. The Bernoulli-Gaussian mixture is composed of the multiplication of Bernoulli random variable and Gaussian mixture random variable. The image denoising is performed by using Bayesian estimation. We present an effective denoising method through simplified parameter estimation for Bernoulli random variable using local expected squared error. Simulation results show our method outperforms the states-of-art denoising methods when using orthogonal wavelets.

On the historical investigation of Bernoulli and Euler numbers associated with Riemann zeta functions (수학사적 관점에서 오일러 및 베르누이 수와 리만 제타함수에 관한 탐구)

  • Kim, Tae-Kyun;Jang, Lee-Chae
    • Journal for History of Mathematics
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    • v.20 no.4
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    • pp.71-84
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    • 2007
  • J. Bernoulli first discovered the method which one can produce those formulae for the sum $S_n(k)=\sum_{{\iota}=1}^n\;{\iota}^k$ for any natural numbers k. After then, there has been increasing interest in Bernoulli and Euler numbers associated with Riemann zeta functions. Recently, Kim have been studied extended q-Bernoulli numbers and q-Euler numbers associated with p-adic q-integral on $\mathbb{Z}_p$, and sums of powers of consecutive q-integers, etc. In this paper, we investigate for the historical background and evolution process of the sums of powers of consecutive q-integers and discuss for Euler zeta functions subjects which are studying related to these areas in the recent.

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Noise Removal Using Complex Wavelet and Bernoulli-Gaussian Model (복소수 웨이블릿과 베르누이-가우스 모델을 이용한 잡음 제거)

  • Eom Il-Kyu;Kim Yoo-Shin
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.43 no.5 s.311
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    • pp.52-61
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    • 2006
  • Orthogonal wavelet tansform which is generally used in image and signal processing applications has limited performance because of lack of shift invariance and low directional selectivity. To overcome these demerits complex wavelet transform has been proposed. In this paper, we present an efficient image denoising method using dual-tree complex wavelet transform and Bernoulli-Gauss prior model. In estimating hyper-parameters for Bernoulli-Gaussian model, we present two simple and non-iterative methods. We use hypothesis-testing technique in order to estimate the mixing parameter, Bernoulli random variable. Based on the estimated mixing parameter, variance for clean signal is obtained by using maximum generalized marginal likelihood (MGML) estimator. We simulate our denoising method using dual-tree complex wavelet and compare our algorithm to well blown denoising schemes. Experimental results show that the proposed method can generate good denoising results for high frequency image with low computational cost.

레이놀즈수 변화에 따른 대기압 플라즈마 제트의 방전 특성 변화

  • Kim, Yun-Jung;Jin, Se-Hwan;No, Jun-Hyeong;Song, Seo-Jin;Lee, Ye-Gwon;Choe, Min-Seong;Kim, Hui-Ju;Gwon, Gi-Cheong;Jo, Gwang-Seop
    • Proceedings of the Korean Vacuum Society Conference
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    • 2014.02a
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    • pp.240.1-240.1
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    • 2014
  • 대기압 플라즈마 제트 장치에 주입되는 기체의 유량 변화에 따른 방전 특성을 유체역학적으로 해석하였다. 장치에 주입되는 기체의 유량 변화는 레이놀즈수에 의한 유체 흐름의 상태 변화와 베르누이 정리에 의한 압력 변화를 동반한다. 유리관에 주입되는 기체의 레이놀즈수가 Re<2000이면 층류이며 Re>4000이면 난류, 2000

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On the Historical investigation of Sums of Power of Consecutive Integer (연속된 정수의 멱의 합의 변천사에 대한 고찰)

  • Kang Dong-Jin;Kim Dae-Yeoul;Park Dal-Won;Seo Jong-Jin;Rim Seog-Hoo;Jang Lee-Chae
    • Journal for History of Mathematics
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    • v.19 no.1
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    • pp.1-16
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    • 2006
  • In 1713, J. Bernoulli first discovered the method which one can produce those formulae for the sum $\sum\limits_{\iota=1}^{n}\;\iota^k$ for any natural numbers k ([5],[6]). In this paper, we investigate for the historical background and motivation of the sums of powers of consecutive integers due to J. Bernoulli. Finally, we introduce and discuss for the subjects which are studying related to these areas in the recent.

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Research of stability about aerodynamic levitation using jet (제트를 이용한 구체 부양 안정성 연구)

  • Han, Song-Lee;Yun, Tae-Gyun;Gu, Jun-Mo
    • Proceeding of EDISON Challenge
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    • 2013.04a
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    • pp.305-309
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    • 2013
  • 본 연구에서는 유체역학적인 후류 효과를 제어하고 항력을 이용하여 구체를 안정적으로 부양하는 방법을 해석 및 실험적으로 고찰하였다. 물체를 공중에 부양할 때는 물체가 받는 중력과 제트에 의하여 공급되는 항력이 평형을 이루어야 한다. 이 때 공기의 흐름의 레이놀즈 수에 따라 공기가 구체를 지나가며 구체후면에 생기는 후류에 의하여 부양상태가 불안정하게 될 수 있다. 구체의 운동이 제트에 의하여 안정되는 현상은 베르누이 및 코안다 효과로 설명할 수 있다. 에디슨을 이용하여 레이놀즈 수에 따른 실린더에 작용하는 항력과 후류에 의한 불안정화 힘을 해석적으로 구하였으며 이를 실험적으로 고속카메라를 이용하여 부양 거리, 안정도 등을 측정하여 비교하였다. 고찰 결과 레이놀즈 수가 작을수록 더 안정됨을 확인하였다.

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A Financial Theory of the Demand for Insurance With Simultaneous Investment Opportunities (투자(投資)와 보험수요(保險需要)의 상관관계(相關關係)에 관한 재무경제학적(財務經濟學的) 연구(硏究))

  • Witt, Robert C.;Hong, Soon-Koo
    • The Korean Journal of Financial Management
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    • v.9 no.1
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    • pp.223-262
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    • 1992
  • This paper develops a theory of the demand for insurance. The present model incorporates insurance demand time value of insurance premium, and demand for listless and risky assets simultaneously within the expected utility framework. For a special case of CARA, an insurance decision can be made separately from other portfolio decisions. However, in general, the interactions of both decisions cannot be ignored even when insurable and speculative risks are stochastically independent. In particular, the role of risky investment in hedging insurable risk is demonstrated and it is shown that this role cannot be duplicated by an insurance contract. When the investment decision is made simultaneously with the insurance decision, some of the classic theory on insurance should be modified. As an example, the authors characterize the sufficient conditions, under which the Bernoulli criteria (without and with premium loadings) hold or are violated in terms of the net gain of risky investment, the net cost of insurance, and the stochastic relationship between insurable and speculative risks. The authors interpret the results using the Rothschild and Stiglitz's (1970) notion of 'increase in riskiness'.

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Investigation of standing wave acoustic levitation with Bernoulli principle and bolt-clamped Langevin type ultrasonic transducer (베르누이 원리와 bolt-clamped Langevin type 초음파 진동자를 이용한 정상파 음파 공중부양의 탐구)

  • Park, Mincheol;Park, Doojae;Kim, Young H.
    • The Journal of the Acoustical Society of Korea
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    • v.37 no.6
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    • pp.422-427
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    • 2018
  • The purpose of this study is to investigate the effect of acoustic radiation force on the standing wave acoustic levitation phenomenon, which is the levitation of small objects near the pressure node of the standing wave, using the Bernoulli principle. The source and scheme of the acoustic radiation force, which is the cause of the levitation, are conceptually explained through comparison with the graph of the acoustic radiation force versus the distance from the transducer. A series of experiments supporting this explanation was performed with a BLT(Bolt-clamped Langevin Type) ultrasonic transducer to confirm that the objects are floating near the pressure nodes and that it satisfies the condition for the standing wave formation when the object is levitating. Furthermore, the vertical alignment of floating objects, which is a characteristic of standing wave acoustic levitation phenomenon, could be explained.

Characteristics of Plasma Discharge according to the Gas-flow Rate in the Atmospheric Plasma Jets (대기압 플라즈마 제트의 기체 유량에 대한 방전 특성)

  • Lee, Won Young;Jin, Dong Jun;Kim, Yun Jung;Han, Gook Hee;Yu, Hong Keun;Kim, Hyun Chul;Jin, Se Whan;Koo, Je Huan;Kim, Do Young;Cho, Guangsup
    • Journal of the Korean Vacuum Society
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    • v.22 no.3
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    • pp.111-118
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    • 2013
  • The influence of gas flow on the plasma generation in the atmospheric plasma jet is described with the theory of hydrodynamics. The plasma discharge is affected by the gas-flow streams with Reynolds number (Re) as well as the gas pressure with Bernoulli's theorem according to the gas flow rate inserted into the glass tube. The length of plasma column is varied with the flow types such as the laminar flow of Re<2,000 and the turbulent flow of Re>4,000 as it has been known in a general fluid experiments. In the laminar flow, the plasma column length is increased as the increase of flow rate. Since the pressure in the glass tube becomes low as the increase of flow velocity by the Bernoulli's theorem, the breakdown voltage of plasma discharge is reduced by the Paschen's law. Therefore, the plasma length is increased as the increasing flow rate with the fixed operation voltage. In the transition of laminar and turbulent flows, the plasma length is decreased. When the flow becomes turbulent as the flow rate is increasing, the plasma length becomes short and the discharge is shut down ultimately. In the discharge of laminar flow, the diameter of plasma beam exposed on the substrate surface is kept less than the glass diameter, since the gas flow is kept to the distinct distance from the nozzle of glass tube.

A study of object inheritance variable in SR DEVS (SR DEVS에서 객체 상속 변수의 연구)

  • Park, Sangjoon;Lee, Jongchan
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2020.01a
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    • pp.253-254
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    • 2020
  • 본 논문에서는 SR DEVS에서 객체간의 상속이 발생할 경우 상속 확률 변수에 대해 고려한다. 객체간 상속의 경우 상속 강도는 확률 변수에 의해 결정될 수 있다. 본 논문에서는 확률 변수로 베르누이 확률 분포를 고려하여 객체 상속에 대한 상속 강도를 고려한다.

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