• Honam Mathematical Journal
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• v.38 no.3
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• pp.467-477
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• 2016

In this paper, we study the timelike Bertrand curves in Minkowski 3-space. Since the principal normal vector of a timelike curve is spacelike, the Bertrand mate curve of this curve can be a timelike curve, a spacelike curve with spacelike principal normal or a Cartan null curve, respectively. Thus, by considering these three cases, we get the necessary and sufficient conditions for a timelike curve to be a Bertrand curve. Also we give the related examples.

• Journal of the Korean Mathematical Society
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• v.54 no.4
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• pp.1163-1173
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• 2017

In this paper, we introduce the condition (I) (cf. Section 2) and prove that there is no nontrivial tangential holomorphic vector field of a certain hypersurface of infinite type in ${\mathbb{C}}^2$.

• East Asian mathematical journal
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• v.34 no.5
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• pp.643-649
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• 2018

Let M be a connected n-dimensional submanifold of a Euclidean space $E^{n+k}$ equipped with the induced metric and ${\Delta}$ its Laplacian. If the position vector x of M is decomposed as a sum of three vectors $x=x_1+x_2+x_0$ where two vectors $x_1$ and $x_2$ are non-constant eigenvectors of the Laplacian, i.e., ${\Delta}x_i={\lambda}_ix_i$, i = 1, 2 (${\lambda}_i{\in}R$) and $x_0$ is a constant vector, then, M is called a 2-type submanifold. In this paper we proved that a connected 2-type hypersurface M in $E^{n+1}$ whose postion vector x satisfies ${\langle}{\Delta}x,x-x_0{\rangle}=c$ for a constant c, where ${\langle}$, ${\rangle}$ is the usual inner product in $E^{n+1}$, is of null 2-type and has constant mean curvature and scalar curvature.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.4 no.1
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• pp.97-100
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• 2004

We propose some properties of fuzzy multivariate analysis of variance by fuzzy vector operation with agreement index. We deals fuzzy null hypotheses and fuzzy alternative hypothesis and define the agreement index for the grades of the judgements that the hypothesis is rejection or acceptance. Finally, we provide an example to evaluate the judgements.

• Journal of applied mathematics & informatics
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• v.3 no.2
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• pp.193-204
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• 1996

Overflow queuing models are ofter analyzed by explicitly solving a large sparse singular linear systems arising from Kolmogorov balance equation. The system is often converted into an eigenvalue problem the dominant eigenvector of which is the desired null vector. In this paper we convert an overflow queuing problem the dominant eigenvector of which is the desired null vector. In this paper we convert an overflow queuing problem into an overflow queuing problem into an eigen-value problem into an eigen-value problem of size 1/2 of the original. Then we devise an orthogonal projector that enhances its convergence by removing unsanted eigen-components effectively. Numerical result with some suggestion is given at the end.

• Proceedings of the KIPE Conference
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• 2017.11a
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• pp.41-42
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• 2017

기존의 다중 코일을 이용한 소형 자성체를 제어하는 시스템에서 전류 벡터 지령은 구동 매트릭스의 pseudo-inverse를 사용하여 계산되었다. 본 논문에서는 기존의 전류 지령에 null space 전류 벡터 지령을 더하는 방법을 이용하여 현재 전류 벡터값과 목표 전류 벡터 지령 사이의 전류 변화량이 최소화 되는 전류 지령 수정 방식을 제안한다. 제한된 전압 정격 내에서 제안된 방식을 적용할 경우 전류 지령 벡터값에 도달하는 시간이 짧아짐으로, 기존 방식에 비해 빠른 반응성을 얻을 수 있다. 제안된 방법은 Matlab(R) Simulink(R)를 통해 검증하였다.

• Proceedings of the Korean Institute of Navigation and Port Research Conference
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• v.2
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• pp.411-414
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• 2006

본 논문은 다양한 GPS 재밍대응 기술 중에서 안테나 기반의 CRPA(Controlled Reception Pattern Antenna) 시스템에 관한 소개 및 안테나의 널(null) 패턴 합성에 필요한 핵심 모듈인 디지털 I/Q 벡터모듈레이터(Vector Modulator)를 이용한 GPS용 $2{\times}2$ CRPA 패턴 제어방법에 관한 연구 내용이다. 일반적으로 시스템에서 미리 결정된 방향으로 만들어진 안테나 빔을 이용한 위상배열안테나(phased array antenna)와는 달리 CRPA 구조의 GPS 위성수신용 적응배열안테나(adaptive array antenna)는 각 안테나 소자(element)로부터 수신된 신호들을 실시간으로 해석하여, GPS 배열 안테나의 패턴 특성을 제어한다. 본 연구에서는 $2{\times}2$ 배열 정사각(square) 구조의 CRPA를 채택했으며, 재밍신호 방향으로 널(null) 패턴을 합성하기 위한 방법으로 PC에서 제어 가능한 DAC(Digital to Analog Converter)을 이용하여 I/Q 벡터모듈레이터로 인가되는 RF신호의 위상(phase) 및 진폭(amplitude)을 조절한다. 이때 원하는 널(null) 패턴이 합성되도록 네 개의 각 안테나 소자 쪽으로 8채널의 복소가중치(complex weight)를 인가한다.

• Journal of the Korean Statistical Society
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• v.36 no.2
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• pp.257-274
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• 2007

This paper considers the tests for the presence of smooth transition non-linearity in the partially nonstationary vector autoregressive model. The transition parameters cannot be identified under the null hypothesis of linearity, and therefore this paper develops the tests for smooth transition nonlinearity, the associated asymptotic theory and the bootstrap inference. The Monte Carlo simulation evidence shows that the bootstrap inference generates moderate size and power performances.

• Communications of the Korean Mathematical Society
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• v.34 no.1
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• pp.303-319
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• 2019

The aim of the present paper is to study the Eisenhart problems of finding the properties of second order parallel tensors (symmetric and skew-symmetric) on a 3-dimensional LCS-manifold. We also investigate the properties of Ricci solitons, Ricci semisymmetric, locally ${\phi}$-symmetric, ${\eta}$-parallel Ricci tensor and a non-null concircular vector field on $(LCS)_3$-manifolds.

• Journal of the Korean Mathematical Society
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• v.34 no.2
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• pp.437-452
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• 1997

We study low type submanifolds in pseudo-Euclidean space which is especially of 2-type pseudo-umbilical. We also determine full null 2-type surfaces with parallel mean curvature vector in 4-dimensional Minkowski space-time.