• 제목/요약/키워드: ${\alpha}$ method

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개선된 명시적 방법과 예측수정 α-Method방법의 비교 (Comparison of Improved Explicit Method and Predictor Correct α-Method)

  • 권민호;정우영
    • 복합신소재구조학회 논문집
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    • 제3권4호
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    • pp.1-9
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    • 2012
  • Dynamic application lower mode response is of interest, however the higher modes of spatially discretized equations generally do not represent the real behavior. Some implicit algorithms, therefore, are introduced to filter out the high-frequency modes. The objective of this study is to introduce the P-method and PC ${\alpha}$-method to compare that with dissipation method and Newmark method through the stability analysis and numerical example. PC ${\alpha}$-method gives more accuracy than other methods because it based on the ${\alpha}$-method inherits the superior properties of the implicit ${\alpha}$-method. In finite element analysis, the PC ${\alpha}$-method is more useful than other methods because it is the explicit scheme and it achieve the second order accuracy and numerical damping simultaneously.

Super-spatial resolution method combined with the maximum-likelihood expectation maximization (MLEM) algorithm for alpha imaging detector

  • Kim, Guna;Lim, Ilhan;Song, Kanghyon;Kim, Jong-Guk
    • Nuclear Engineering and Technology
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    • 제54권6호
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    • pp.2204-2212
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    • 2022
  • Recently, the demand for alpha imaging detectors for quantifying the distributions of alpha particles has increased in various fields. This study aims to reconstruct a high-resolution image from an alpha imaging detector by applying a super-spatial resolution method combined with the maximum-likelihood expectation maximization (MLEM) algorithm. To perform the super-spatial resolution method, several images are acquired while slightly moving the detector to predefined positions. Then, a forward model for imaging is established by the system matrix containing the mechanical shifts, subsampling, and measured point-spread function of the imaging system. Using the measured images and system matrix, the MLEM algorithm is implemented, which converges towards a high-resolution image. We evaluated the performance of the proposed method through the Monte Carlo simulations and phantom experiments. The results showed that the super-spatial resolution method was successfully applied to the alpha imaging detector. The spatial resolution of the resultant image was improved by approximately 12% using four images. Overall, the study's outcomes demonstrate the feasibility of the super-spatial resolution method for the alpha imaging detector. Possible applications of the proposed method include high-resolution imaging for alpha particles of in vitro sliced tissue and pre-clinical biologic assessments for targeted alpha therapy.

In-line (α,n) source sampling methodology for monte carlo radiation transport simulations

  • Griesheimer, David P.;Pavlou, Andrew T.;Thompson, Jason T.;Holmes, Jesse C.;Zerkle, Michael L.;Caro, Edmund;Joo, Hansem
    • Nuclear Engineering and Technology
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    • 제49권6호
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    • pp.1199-1210
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    • 2017
  • A new in-line method for sampling neutrons emitted in (${\alpha}$,n) reactions based on alpha particle source information has been developed for continuous-energy Monte Carlo simulations. The new method uses a continuous-slowing-down model coupled with (${\alpha}$,n) cross section data to precompute the expected neutron yield over the alpha particle lifetime. This eliminates the complexity and computational cost associated with explicit charged particle transport. When combined with an integrated alpha particle decay source sampling capability, the proposed method provides an efficient and accurate method for sampling (${\alpha}$,n) neutrons based solely on nuclide inventories in the problem, with no additional user input required. Results from several example calculations show that the proposed method reproduces the (${\alpha}$,n) neutron yields and energy spectra from reference experiments and calculations.

동적해석을 위한 일반화된$\alpha$ 방범의 예측 수정자 알고리즘 (A predictor-corrector algorithm of the generalized-$\alpha$ method for analysis of structural dynamics)

  • 정진태
    • 소음진동
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    • 제5권2호
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    • pp.207-213
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    • 1995
  • 본 논문에서 구조동력학 문제를 풀기 위한 명시적(explicit) 예측 수정자 시간적분법을 개발하였으며, 이 알고리즘은 최근 개발된 암시적(implicit) 일반화된 $\alpha$ 방법으로부터 유도하였다. 암시적 방법과 같이 명시적 일반화된 .alpha. 방법도 하나의 변수를 갖는 알고리즘의 집합이며, 이 변수는 고주파 영역에서 수치 감쇠의 양을 정의한다. 제안된 알고리즘은 수치감쇠가 없는 시간적분법으로 파의 젼달 문제를 풀때 나타나는 가상의 진동을 감소시키는 수치감쇠를 가지고 있기 때문 에 선형 혹은 비선형의 구조동력학 문제에 효과적으로 이용될 수 있다.

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불균형 자료 분석과 가설 검정에 관한 연구 (Study on the analysis of disproportionate data and hypothesis testing)

  • 장석환;송규문;김장한
    • 응용통계연구
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    • 제5권2호
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    • pp.243-254
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    • 1992
  • 불균형 자료 분석에 대해서는 일찍이 Brown(1932)과 Yates(1934)의 연구 이에 Finney(1948), Stevens(1948), Henderson(1953), Kramer(1955)등 많은 사람들이 관심을 가지고 연구하였고 Searle(1971, 1977, 1981)은 R(v) 표기법으로 모형식의 상수적합에 의한 변동을 나타내었으며 Hocking과 Speed(1975), Speed와 Hocking (1976)이 사용한 제한들을 $\Sigma$ -, W-, O-restrictions라고 하였다. 또한 Speed등(1978)은 비가중평균법(method of unweighted means), 평균의 가중제곱법(method of weighted squares of means), 상수적합법 (method of fitting constants), Overall- Spiegel법, Henderson방법 등을 비교설명하고 Burdick 등(1974)은 각 변동을 기하학적으로 해석하려 하였다. 백(1987a,1987b)은 SAS 팩키지에 의한 변동을 설명하였고 장(1988)도 Searle(1977, 1981)의 방법을 이용하여 가설검정과 변동을 검토한바 있다. 본 연구에서는 여러 가지 모형에 대하여 $n_{ij} > 0, 또는 n_{ij} \geq 0$ 인 경우에 변동계산과 W-, $\Sigma$-, O- 제한 조건하에서의 변동과 가설을 재조명해 보고져 한다.

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ON THE ORDER AND RATE OF CONVERGENCE FOR PSEUDO-SECANT-NEWTON'S METHOD LOCATING A SIMPLE REAL ZERO

  • Kim, Young Ik
    • 충청수학회지
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    • 제19권2호
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    • pp.133-139
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    • 2006
  • By combining the classical Newton's method with the pseudo-secant method, pseudo-secant-Newton's method is constructed and its order and rate of convergence are investigated. Given a function $f:\mathbb{R}{\rightarrow}\mathbb{R}$ that has a simple real zero ${\alpha}$ and is sufficiently smooth in a small neighborhood of ${\alpha}$, the convergence behavior is analyzed near ${\alpha}$ for pseudo-secant-Newton's method. The order of convergence is shown to be cubic and the rate of convergence is proven to be $\(\frac{f^{{\prime}{\prime}}(\alpha)}{2f^{\prime}(\alpha)}\)^2$. Numerical experiments show the validity of the theory presented here and are confirmed via high-precision programming in Mathematica.

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A New Parameter Estimation Method for a Zipf-like Distribution for Geospatial Data Access

  • Li, Rui;Feng, Wei;Wang, Hao;Wu, Huayi
    • ETRI Journal
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    • 제36권1호
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    • pp.134-140
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    • 2014
  • Many reports have shown that the access pattern for geospatial tiles follows Zipf's law and that its parameter ${\alpha}$ represents the access characteristics. However, visits to geospatial tiles have temporal and spatial popularities, and the ${\alpha}$-value changes as they change. We construct a mathematical model to simulate the user's access behavior by studying the attributes of frequently visited tile objects to determine parameter estimation algorithms. Because the least squares (LS) method in common use cannot obtain an exact ${\alpha}$-value and does not provide a suitable fit to data for frequently visited tiles, we present a new approach, which uses a moment method of estimation to obtain the value of ${\alpha}$ when ${\alpha}$ is close to 1. When ${\alpha}$ is further away from 1, the method uses the associated cache hit ratio for tile access and uses an LS method based on a critical cache size to estimate the value of ${\alpha}$. The decrease in the estimation error is presented and discussed in the section on experiment results. This new method, which provides a more accurate estimate of ${\alpha}$ than earlier methods, promises more effective prediction of requests for frequently accessed tiles for better caching and load balancing.

Error propagation effects for explicit pseudodynamic algorithms

  • Chang, Shuenn-Yih
    • Structural Engineering and Mechanics
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    • 제10권2호
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    • pp.157-164
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    • 2000
  • This paper discusses the error propagation characteristics of the Newmark explicit method, modified Newmark explicit method and ${\alpha}$-function dissipative explicit method in pseudodynamic tests. The Newmark explicit method is non-dissipative while the ${\alpha}$-function dissipative explicit method and the modified Newmark explicit method are dissipative and can eliminate the spurious participation of high frequency responses. In addition, error propagation analysis shows that the modified Newmark explicit method and the ${\alpha}$-function dissipative explicit method possess much better error propagation properties when compared to the Newmark explicit method. The major disadvantages of the modified Newmark explicit method are the positive lower stability limit and undesired numerical dissipation. Thus, the ${\alpha}$-function dissipative explicit method might be the most appropriate explicit pseudodynamic algorithm.

$\alpha$ -레벨집합 분해에 의한 서보제어용 퍼지 추론 연산회로의 개발 (Development of Fuzzy Inference Engine for Servo Control Using $\alpha$-level Set Decomposition)

  • 홍순일;이요섭
    • 융합신호처리학회논문지
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    • 제2권3호
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    • pp.50-56
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    • 2001
  • 퍼지제어가 서보시스템에 응용할 때 퍼지정보 시스템의 하드웨어 실현은 고속연산, 짧은 실시간의 제어 및 시스템의 소형 경량화가 요구되고 있다. 본 연구의 목적은 서보시스템에 적용하기 위한 퍼지정보 시스템의 하드웨어를 개발하는 것이다. 본 연구에서는 $\alpha$-레벨 집합의 분해 원리에 기초하여 $\alpha$-컷 양자화에 따라 퍼지추론의 계산 방법을 제안하려다. 이 방법은 퍼지제어기의 아날로그 하드웨어의 구성을 쉽게 행할 수 있다. $\alpha$-컷 양자화에 따른 회지추론 엔진의 출력으로 $\alpha$-컷 양자화에 따른 퍼지추론 영향을 조사하였고 $\alpha$-컷 양자화 4 단계에서 DC 서보시스템의 퍼지제어에 양호한 결과를 얻었다. 제안한 퍼지추론 연산과 중심법에 의한 비퍼지화에서 직접 PWM 조작 신호를 얻는 방법을 나타내었다. 서보계의 실험을 행하여 유용성을 구명하였다.

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Colchicine Inhibits Integrin ${\alpha}_5{\beta}_1$ Gene Expression during PMA induced dDfferentiation of U937 Cells

  • Jang, Won-Hee;Rhee, In-Ja
    • Archives of Pharmacal Research
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    • 제18권6호
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    • pp.376-380
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    • 1995
  • Monocyte adhesion involves specific cell surface receptors, integrins and results in cell differentiation. We have studied expression and regulation of integrin .${\alpha}_5{\beta}_1$ during differntiation of U937 as in vitro model. To determine expression of integrin ${\alpha}_5{\beta}_1$ during differentiation of U937 as in vitro model. To determine expression of integrin ${\alpha}_5{\beta}_1$ genes by RT-PCR (reverse transcription and polymerase chain reaction) method. We determined expression of integrin ${\alpha}_5{\beta}_1$ genes by RT-PCE (reverse transcription and polymerase chain reaction) method. We found that expression of integrin .alpha.5.betha.1 was greatly increased during PMA-induced differentiation of U937 cells and also found that PMA-induced expression of integrin ${\alpha}_5{\beta}_1$ was inhibited by colchicine, microtubule depoly merizing agent. These results indicate that microtubular integrity is associated with expression of integrin. ${\alpha}_5{\beta}_1$ during PMA-induced differentiation of U937 cells.

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