• 충청수학회지
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• 제19권1호
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• pp.49-56
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• 2006

A convergence behavior is under investigation near a simple real zero for the k-fold pseudo-Olver's method defined by extending the classical Olver's method. The order of convergence is shown to be at least k+3. The asymptotic error constant is explicitly given in terms of k and the corresponding simple zero. Various numerical examples with a proposed zero-finding algorithm are successfully confirmed with the use of symbolic and computational ability of Mathematica.

• 한국수학교육학회지시리즈A:수학교육
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• 제46권4호
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• pp.357-369
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• 2007

Teachers and students' knowledge of zero was investigated through data collected from 16 preservice secondary mathematics teachers and 20 gifted secondary school students. Results showed that these teachers and students had an inadequate knowledge about zero. They exhibited a reluctance to accept zero as an attribute for classification, confusion as to whether or not zero is a number, and stable patterns of computational error. Although leachers and researchers have long recognized the value of analyzing student errors for diagnosis and remediation, students have not been encouraged to take advantage of errors as learning opportunities in mathematics instruction. The article suggests using errors as springboards for inquiry in action, discusses its potential contributions to mathematics instruction by analyzing students and preservice teachers errors related to zero.

• 충청수학회지
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• 제20권1호
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• pp.11-21
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• 2007

Given a nonlinear function f : $\mathbb{R}{\rightarrow}\mathbb{R}$ that has a simple real zero ${\alpha}$, a new numerical method to be called k-fold pseudo- Halley's method is proposed and it's error analysis is under investigation to confirm the convergence behavior near ${\alpha}$. Under the assumption that f is sufficiently smooth in a small neighborhood of ${\alpha}$, the order of convergence is found to be at least k+3. In addition, the corresponding asymptotic error constant is explicitly expressed in terms of k, ${\alpha}$ and f as well as the derivatives of f. A zero-finding algorithm is written and has been successfully implemented for numerous examples with Mathematica.

• 정보처리학회논문지A
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• 제12A권5호
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• pp.391-394
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• 2005

이 논문에서는 정적분의 수치계산 방법 중에 하나인 사다리꼴 공식의 평균오차를 zero mean-Gaussian을 이용하여 연구한다. 구간 [0,1]에 n개의 소구간을 잡고 계산의 단순화를 위하여 각 소구간의 길이가 같다고 하고 길이를 h라 하면, $r{\leq}2$일 때, 상수 $c_r$을 직접 계산하여 연속된 두개의 소구간 위에서 단순 사다리꼴공식과 복합 사다리꼴공식 사이의 평균오차가 $O(h^{2r+3})$임을 보인다.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2004년도 추계학술대회논문집
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• pp.79-82
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• 2004

In this study, a new refinement technique for 3-dimensional hexahedral element mesh is proposed, which is aimed at the control of mesh density. With the proposed scheme the mesh is refined adaptively to the elemental error which is estimated by 'a posteriori' error estimator based on the energy norm. A desired accuracy of an analysis i.e. a limit of error defines the new desired mesh density map on the current mesh. To obtain the desired mesh density, the refinement procedure is repeated iteratively until no more elements to be refined exist. In the algorithm, at first the regions of mesh to be refined are defined and, then, the zero-thickness element layers are inserted into the interfaces between the regions. All the meshes in the regions, in which the zero-thickness layers are inserted, are to be regularized in order to improve the shape of the slender elements on the interfaces. This algorithm is tested on a simple shape of 2-d quadrilateral element mesh and 3-d hexahedral element mesh. A numerical example of elastic deformation of a plate with a hole shows the effectiveness of the proposed refinement scheme.

• 건축사
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• 통권525호
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• pp.22-23
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• 2013

• 한국인터넷방송통신학회논문지
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• 제11권1호
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• pp.29-34
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• 2011

본 논문에서는 자동 원격검침을 위한 전력선 통신에서의 등화기 기법인 zero-forcing (ZF)와 minimum mean square error (MMSE) 기법을 제안하고 분석하였다. 전력선 통신을 이용한 효율적인 AMR 시스템 구현을 위해서 임펄스 노이즈와 다중경로 채널의 영향들은 완화되어야 한다. 이러한 영향들을 극복하기 위해, 앞서 말한 등화기 기법들을 사용하였다. 시스템 성능은 비트오류율 (BER)에 의해서 평가되어진다. 모의실험 결과로부터 등화기가 전력선 통신 시스템의 BER 성능을 현저하게 향상시키고 MMSE가 ZF보다 더 나은 성능을 제공함을 확인하였다. 본 논문의 실험 결과는 AMR 시스템뿐만 아니라, 다양한 스마트 그리드 서비스에도 적용될 수 있다.

• 전력전자학회논문지
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• 제19권2호
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• pp.184-193
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• 2014

This paper presents a high performance ZPE(zero-phase-error) speed controller for PMSM(permanent magnet synchronous motor) drives. A comparison study between conventional general purpose speed controller in modern industry fields such as PI, IP and 2-degree of freedom controller presented also. The proposed ZPE speed controller is found suitable for vector controlled PMSM drives in giving the high level of performance while maintaining the excellent response at the time of speed command changing. In MATLAB-based comparative simulation and experiment results with commercial drive system, the proposed method shows a superior control performance compared with the conventional speed controller widely-used.

• Communications for Statistical Applications and Methods
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• 제3권1호
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• pp.243-255
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• 1996

The number of neutron signals from a neutral particle beam(NPB) at the detector, without any errors, obeys Poisson distribution, Under two assumptions that NPB scattering distribution and aiming errors have a circular Gaussian distribution respectively, an exact probability distribution of signals becomes a Poisson-power function distribution. In this paper, we show that the error rate in simple hypothesis testing for the limiting Poisson-power function distribution is not zero. That is, the limit of ${\alpha}+{\beta}$ is zero when Poisson parameter$\kappa\rightarro\infty$, but this limit is not zero (i.e., $\rho\ell$>0)for the Poisson-power function distribution. We also give optimal decision algorithms for a specified error rate.

• 한국통신학회논문지
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• 제40권10호
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• pp.1865-1870
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• 2015

신호처리에서 영확률을 성능기준으로 하는 적응 알고리듬들은 충격성 잡음 환경에서 우수한 성능과 안정된 수렴을 보인다. 이 논문에서는 MSE 성능기준과 비교분석을 통해 영확률 성능기준이 MSE와 동일한 최적해를 가진다는 것을 증명한다. 또한 이 연구를 통해, 영확률 기반 알고리듬의 크기 조정된 입력이 충격성 잡음으로부터 최적해가 방해 받지 않도록 유지해주는 역할을 하고 있음을 보인다.