• 제목/요약/키워드: Truncation Function

검색결과 63건 처리시간 0.027초

CONSTRAINING THE MAGNETIC FIELD IN THE ACCRETION FLOW OF LOW-LUMINOSITY ACTIVE GALACTIC NUCLEI

  • QIAO, ERLIN
    • 천문학논총
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    • 제30권2호
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    • pp.457-459
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    • 2015
  • Observations show that the accretion flows in low-luminosity active galactic nuclei (LLAGNs) probably have a two-component structure with an inner hot, optically thin, advection dominated accretion flow (ADAF) and an outer truncated cool, optically thick accretion disk. As shown by Taam et al. (2012), within the framework of the disk evaporation model, the truncation radius as a function of mass accretion rate is strongly affected by including the magnetic field. We define the parameter ${\beta}$ as $p_m=B^2/8{\pi}=(1-{\beta})p_{tot}$, (where $p_{tot}=p_{gas}+p_m$, $p_{gas}$ is gas pressure and $p_m$ is magnetic pressure) to describe the strength of the magnetic field in accretion flows. It is found that an increase of the magnetic field (decreasing the value of ${\beta}$) results in a smaller truncation radius for the accretion disk. We calculate the emergent spectrum of an inner ADAF + an outer truncated accretion disk around a supermassive black hole by considering the effects of the magnetic field on the truncation radius of the accretion disk. By comparing with observations, we found that a weaker magnetic field (corresponding to a bigger value of ${\beta}$) is required to match the observed correlation between $L_{2-10keV}/L_{Edd}$ and the bolometric correction $k_{2-10keV}$, which is consistent with the physics of the accretion flow with a low mass accretion rate around a black hole.

Jackknife Estimator of Logistic Transformation from Truncated Data

  • Lee, Won-Hyung
    • 한국국방경영분석학회지
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    • 제6권2호
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    • pp.129-149
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    • 1980
  • In medical follow-up, equipment lifetesting, various military situations, and other fields, one often desires to calculate survival probability as a function of time, p(t). If the observer is able to record the time of occurrence of the event of interest (called a 'death'), then an empirical, non-parametric estimate may simply by obtained from the fraction of survivors after various elapsed times. The estimation is more complicated when the data are truncated, i.e., when the observer loses track of some individuals before death occurs. The product-limit method of Kaplan and Meier is one way of estimating p(t) when the mechanism causing truncation is independent of the mechanism causing death. This paper proposes jackknife estimators of logistic trans-formation and compares it to the product-limit method. A computer simulation is used to generate the times of death and truncation from a variety of assumed distributions.

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공진과 반공진 특성을 동시고려한 모델 축소 (Model Reduction Considering Both Resonances and Antiresonances)

  • 허진석;이시복;이창일
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 춘계학술대회논문집
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    • pp.985-990
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    • 2001
  • The Frequency Response Function(FRF)s of FE Model reduced by SEREP methods accurately estimate the full model at resonance frequencies, However these FRFs are not accurate at antiresonance frequencies, Additionally, the truncation errors may he significant in the reduction mode1. So this paper considers the possibility of SERFP method through a numerical method to preserve dynamic behavior at antiresonance and appliers the static or dynamic compensation methods for truncation errors to the reduction model. This compensated reduction model is redesigned for pole-zero cancellation methods the objective of reducing a resonance frequency.

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Gabor 코사인과 사인 변환의 기저함수 절단 효과 (Basis Function Truncation Effect of the Gabor Cosine and Sine Transform)

  • 이적식
    • 정보처리학회논문지B
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    • 제11B권3호
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    • pp.303-308
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    • 2004
  • Gabor 코사인과 사인 변환은 영상주파수 성분을 국부적으로 표현하므로 영상과 비디오 압축 알고리즘에 사용될 수 있다. 압축과 복원에 사용되는 순방향과 역방향 행렬 변환식의 계산 복잡도는 O($N^3$)이다. 이 논문에서는 기저함수들의 길이를 절단하여, 희소기저행렬을 생성하고, 영상압축과 복원에 적용하여 실시간 처리에 용이하게 변환 계산량을 감소시키고자 한다. 기저함수 길이가 감소함에 따라서, 기저함수 에너지에 미치는 절단의 영향을 조사하고 다른 여러 측정량의 변화를 살펴본다. 실험 결과로부터 약 1% 이하의 성능저하로 11배의 곱하기/더하기 수를 감소시킬 수 있음을 보았다.

The Estimation of Mean Residual Life Function under Left Truncation and Right Censoring Model

  • Moon, Gyoung-Ae;Shin, Im-Hee;Chae, Hyeon-Suk
    • Journal of the Korean Data and Information Science Society
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    • 제6권2호
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    • pp.65-76
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    • 1995
  • The importance of left truncated and right censoring cases has considered for better information in medical follow-up and engineering life testing studies. We propose some estimation procedure for the mean residual life function with consistency and asymptotic normality on the left truncated and right censoring model. And then, the comparision with Kaplan-Meier estimator ignoring the left truncated effect and the small sample properities are investigated by asymptotic biases and M.S.E.'s thresh Monte Carlo study.

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Identification of System from Generalized Orthogonal Basis Function Expansions

  • Bae, Chul-Min;Wada, Kiyoshi
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.26.1-26
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    • 2001
  • In this paper, we will expand and generalize the orthogonal functions as basis functions for dynamical system representations. The orthogonal functions can be considered as generalizations of, for example, the pulse functions, Laguerre functions, and Kautz functions, and give rise to an alternative series expansion of rational transfer functions. It is shown row we can exploit these generalized basis functions to increase the speed of convergence in a series expansion. The set of Kautz functions is discussed in detail and, using the power-series equivalence, the truncation error is obtained. And so we will present the influence of noises to use Kautz function on the identification accuracy.

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이중 절단 기법을 이용한 조위자료의 확률밀도함수 추정 (Estimation of Probability Density Function of Tidal Elevation Data using the Double Truncation Method)

  • 정신택;조홍연;김정대;고동휘
    • 한국해안·해양공학회논문집
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    • 제20권3호
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    • pp.247-254
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    • 2008
  • 조 등(2004)에 의하여 연안 조위 발생빈도 분포함수로 제시된 쌍봉형 정규분포는 관측조위의 발생빈도와 매우 잘 일치하고 있으나 Monte-Carlo 모의기법을 이용하는 신뢰성 설계과정에서 수백만개의 조위를 발생하는 경우 비현실적인 조위가 발생되어 과대 또는 과도설계가 발생한다. 따라서 본 연구에서는 비현실적인 조위발생을 원천적으로 차단하기 위하여 경계조위 상한-하한을 설정하여 분포함수의 범위를 제한하는 이중절단 쌍봉형 정규분포 함수를 제안하였으며, 제안된 함수분포에 포함된 매개변수를 비선형최적화기법을 이용하여 추정-제시하였다. 제안된 분포함수는 기존의 쌍봉형 정규분포에 비하여 뚜렷하게 정량적으로 크게 개선되는 모습을 보이지는 않으나, 신뢰성 설계과정에서 비현실적인 조위발생의 가능성을 제거할 수 있으며, 비현실적인 조위발생으로 유발되는 설계인자의 비현실적인 과대 및 과소평가 가능성도 자동적으로 제거되는 효과를 기대할 수 있는 것으로 파악되었다.

A New Tailored Sinc Pulse and Its Use for Multiband Pulse Design

  • Park, Jinil;Park, Jang-Yeon
    • Investigative Magnetic Resonance Imaging
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    • 제20권1호
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    • pp.27-35
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    • 2016
  • Purpose: Among RF pulses, a sinc pulse is typically used for slice selection due to its frequency-selective feature. When a sinc pulse is implemented in practice, it needs to be apodized to avoid truncation artifacts at the expense of broadening the transition region of the excited-band profile. Here a sinc pulse tailored by a new apodization function is proposed that produces a sharper transition region with well suppression of truncation artifacts in comparison with conventional tailored sinc pulses. A multiband pulse designed using this newly apodized sinc pulse is also suggested inheriting the better performance of the newly apodized sinc pulse. Materials and Methods: A new apodization function is introduced to taper a sinc pulse, playing a role to slightly shift the first zero-crossing of a tailored sinc pulse from the peak of the main lobe and thereby producing a narrower bandwidth as well as a sharper pass-band in the excitation profile. The newly apodized sinc pulse was also utilized to design a multiband pulse which inherits the performance of its constituent. Performances of the proposed sinc pulse and the multiband pulse generated with it were demonstrated by Bloch simulation and phantom imaging. Results: In both simulations and experiments, the newly apodized sinc pulse yielded a narrower bandwidth and a sharper transition of the pass-band profile with a desirable degree of side-lobe suppression than the commonly used Hanning-windowed sinc pulse. The multiband pulse designed using the newly apodized sinc pulse also showed the better performance in multi-slice excitation than the one designed with the Hanning-windowed sinc pulse. Conclusion: The new tailored sinc pulse proposed here provides a better performance in slice (or slab) selection than conventional tailored sinc pulses. Thanks to the availability of analytical expression, it can also be utilized for multiband pulse design with great flexibility and readiness in implementation, transferring its better performance.

Frequency Weighted Model Reduction Using Structurally Balanced Realization

  • Oh, Do-Chang;Kim, Jong-Hae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.366-370
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    • 2003
  • This paper is on weighted model reduction using structurally balanced truncation. For a given weighted(single or double-sided) transfer function, a state space realization with the linear fractional transformation form is obtained. Then we prove that two block diagonal LMI(linear matrix inequality) solutions always exist, and it is possible to get a reduced order model with guaranteed stability and a priori error bound. Finally, two examples are used to show the validity of proposed weighted reduction method, and the method is compared with other existing methods.

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