• Title/Summary/Keyword: partial coefficients

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BV - 족 계수를 갖는 푸리에 급수의 $L^1(T^1)$ - 수렴성에 관하여 (On $L^1(T^1)$ - Convergence of Fourier Series with BV - Class Coefficients)

  • 이정오
    • 통합자연과학논문집
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    • 제1권3호
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    • pp.216-220
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    • 2008
  • In general the Banach space $L^1(T^1)$ doesn't admit convergence in norm. Thus the convergence in norm of the partial sums can not be characterized in terms of Fourier coefficients without additional assumptions about the sequence$\{^{\^}f(\xi)\}$. The problem of $L^1(T^1)$-convergence consists of finding the properties of Fourier coefficients such that the necessary and sufficient condition for (1.2) and (1.3). This paper showed that let $\{{\alpha}_{\kappa}\}{\in}BV$ and ${\xi}{\Delta}a_{\xi}=o(1),\;{\xi}{\rightarrow}{\infty}$. Then (1.1) is a Fourier series if and only if $\{{\alpha}_{\kappa}\}{\in}{\Gamma}$.

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캣워크 구조물의 공기역학적 특성 (Aerodynamic Characteristics of Catwalk Structures)

  • 이승호;이한규;권순덕;김종화
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2011년도 춘계학술대회 논문집
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    • pp.105-110
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    • 2011
  • Catwalk structures are temporary walk ways for erection of main cables in suspension bridge. The aerodynamic characteristics of the catwalk structures are not well studied even though the catwalk structures are sensitive to wind action because of its flexibility. Present study demonstrates technical results obtained from wind tunnel tests of various catwalk structures. To obtain the aerostatic force coefficients of the floor system of catwalk, 1/14 and 1/4 scaled partial rigid models were fabricated and tested at the wind tunnel. In order to investigate the Reynolds number effects, the aerostatic force coefficients were measured at various wind velocities ranged from 5m/s to 30m/s. The test results revealed that the Reynolds number effects on aerostatic coefficients were not significant for the catwalk floor systems. An empirical equation for aerostatic force coefficients of catwalk are proposed based on the measured results.

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음성통신 중 웨이브렛 계수 양자화를 이용한 비밀정보 통신 방법 (Secret Data Communication Method using Quantization of Wavelet Coefficients during Speech Communication)

  • 이종관
    • 한국정보과학회:학술대회논문집
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    • 한국정보과학회 2006년도 가을 학술발표논문집 Vol.33 No.2 (D)
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    • pp.302-305
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    • 2006
  • In this paper, we have proposed a novel method using quantization of wavelet coefficients for secret data communication. First, speech signal is partitioned into small time frames and the frames are transformed into frequency domain using a WT(Wavelet Transform). We quantize the wavelet coefficients and embedded secret data into the quantized wavelet coefficients. The destination regard quantization errors of received speech as seceret dat. As most speech watermark techniques have a trade off between noise robustness and speech quality, our method also have. However we solve the problem with a partial quantization and a noise level dependent threshold. In additional, we improve the speech quality with de-noising method using wavelet transform. Since the signal is processed in the wavelet domain, we can easily adapt the de-noising method based on wavelet transform. Simulation results in the various noisy environments show that the proposed method is reliable for secret communication.

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BOUNDED PARTIAL QUOTIENTS OF SOME CUBIC POWER SERIES WITH BINARY COEFFICIENTS

  • Ayadi, Khalil;Beldi, Salah;Lee, Kwankyu
    • 대한수학회보
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    • 제53권4호
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    • pp.1005-1015
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    • 2016
  • It is a surprising but now well-known fact that there exist algebraic power series of degree higher than two with partial quotients of bounded degrees in their continued fraction expansions, while there is no single algebraic real number known with bounded partial quotients. However, it seems that these special algebraic power series are quite rare and it is hard to determine their continued fraction expansions explicitly. To the short list of known examples, we add a new family of cubic power series with bounded partial quotients.

서브블록 부분 계수 적응제거를 통한 고속 움직임 추정 알고리즘 (A Fast Motion Estimation Algorithm Using Adaptive Elimination of Sub-block Partial Coefficient)

  • 유태경;문광석;김종남
    • 한국멀티미디어학회논문지
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    • 제12권4호
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    • pp.483-491
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    • 2009
  • 본 논문에서는 서브블룩 부분 계수 적응 제거를 통한 고속 움직임 추정 알고리즘을 제안한다. 제안한 방법은 초기 절대 오차의 합과 현재까지의 최소 SAD의 관계를 이용하여 각 서브블록별 임계치를 적응적으로 예측하며, 예측된 엄계치를 이용하여 기존의 부분 에러 제거(PDE: partial distortion elimination) 방법에서의 불필요한 계산을 효율적으로 줄인다.제안한 알고리즘은 기존의 전역 탐색 알고리즘과 비교하여 예측 화질의 저하 없이 기존의 PDE 알고리즘에 비해 60% 이상의 계산량을 줄였으며, 기존의 다른 고속 움직임 예측 알고리즘에 적용하여 불필요한 계산량을 효율적으로 줄일 수 있음올 보인다. 제안한 알고리즘은 MPEG-2 및 MPEG-4 AVC를 이용하는 실시간 비디오 압축 응용분야에 유용하게 사용될 수 있을 것이다.

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가관측적인 랜덤 학수를 가진 스토캐스틱 시스템의 최적제어 (Optimal Control of Stochastic Systems with Completely Observable Random Coefficients)

  • 이만형;황창선
    • 대한전기학회논문지
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    • 제34권5호
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    • pp.173-178
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    • 1985
  • The control of a linear system with random coefficients is discussed here. The cost function is of a quadratic form and the random coefficients are assumed to be completely observable by the controller. Stochastic Process involved in the problem by the controller. Stochastic Process involved in the problem formulation is presented to be the unique strong solution to the corresponding stochastic differential equations. Condition for the optimal control is represented through the existence of solution to a Cauchy problem for the given nonlinear partial differential equation. The optimal control is shown to be a linear function of the states and a nonlinear function of random parameters.

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Bayesian test for the differences of survival functions in multiple groups

  • Kim, Gwangsu
    • Communications for Statistical Applications and Methods
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    • 제24권2호
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    • pp.115-127
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    • 2017
  • This paper proposes a Bayesian test for the equivalence of survival functions in multiple groups. Proposed Bayesian test use the model of Cox's regression with time-varying coefficients. B-spline expansions are used for the time-varying coefficients, and the proposed test use only the partial likelihood, which provides easier computations. Various simulations of the proposed test and typical tests such as log-rank and Fleming and Harrington tests were conducted. This result shows that the proposed test is consistent as data size increase. Specifically, the power of the proposed test is high despite the existence of crossing hazards. The proposed test is based on a Bayesian approach, which is more flexible when used in multiple tests. The proposed test can therefore perform various tests simultaneously. Real data analysis of Larynx Cancer Data was conducted to assess applicability.

투과성 구형 산란체에 대한 전자기파 공진산란이론의 배경성분 (Background Coefficients in Resonance Scattering Theory for Spherical Dielectric Objects)

  • 정용화;전상봉;안창회
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제54권8호
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    • pp.384-389
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    • 2005
  • The Resonance Scattering Theory(RST) provides the physical explanation of the scattered field that appears in the vicinity of the resonance frequency. The theory suggests that the amplitude of each Partial-wave mode can be divided into two components : resonance and non-resonant background. The long-standing difficulty in the application of RST is that it always requires background components. We have applied the RST to the electromagnetic scattering problems by a penetrable spherical scatterer and a cavity. In this paper, we show some numerical results, and validate background coefficients.

Numerical Method for Calculating Fourier Coefficients and Properties of Water Waves with Shear Current and Vorticity in Finite Depth

  • JangRyong Shin
    • 한국해양공학회지
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    • 제37권6호
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    • pp.256-265
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    • 2023
  • Many numerical methods have been developed since 1961, but unresolved issues remain. This study developed a numerical method to address these issues and determine the coefficients and properties of rotational waves with a shear current in a finite water depth. The number of unknown constants was reduced significantly by introducing a wavelength-independent coordinate system. The reference depth was calculated independently using the shooting method. Therefore, there was no need for partial derivatives with respect to the wavelength and the reference depth, which simplified the numerical formulation. This method had less than half of the unknown constants of the other method because Newton's method only determines the coefficients. The breaking limit was calculated for verification, and the result agreed with the Miche formula. The water particle velocities were calculated, and the results were consistent with the experimental data. Dispersion relations were calculated, and the results are consistent with other numerical findings. The convergence of this method was examined. Although the required series order was reduced significantly, the total error was smaller, with a faster convergence speed.