• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제15권3호
• /
• pp.229-243
• /
• 2008

This paper is intended to clarify and verify two representation algorithms computing representations of elements of free groups generated by two linear fractional transformations. Moreover in practice some parts of the two algorithms are modified for computational efficiency. In particular the justification of the algorithms has been rigorously done by showing how both algorithms work correctly and efficiently according to inputs with some properties of the two linear fractional transformations.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제7권2호
• /
• pp.51-64
• /
• 2003

Analysis is given of construction and stability of complex symmetric analogues of Householder matrices, with applications to the eigenproblem for such matrices. We investigate numerical properties of the deflation of complex symmetric matrices by using complex symmetric Householder transformations. The proposed method is very similar to the well-known deflation technique for real symmetric matrices (Cf. [16], pp. 586-595). In this paper we present an error analysis of one step of the deflation of complex symmetric matrices.

• Bulletin of the Korean Chemical Society
• /
• 제14권4호
• /
• pp.461-465
• /
• 1993

Reductive transformations of gem-bromonitro compounds and ${\alpha}$-nitro ketones were carried out conveniently with sodium dithionite by using dioctyl viologen as an electron-transfer catalyst in dichloromethane-water two-phase system:the bromine atom in gem-bromonitro compounds and the nitro group in ${\alpha}$-nitro ketones are replaced by hydrogen.

• Korean Journal of Mathematics
• /
• 제27권2호
• /
• pp.269-277
• /
• 2019

Let X be a nonempty set, ${\rho}$ be an equivalence on X, T(X) be the semigroup of all transformations from X into itself, and $T_{\rho}(X)=\{f{\in}T(X)|(x,y){\in}{\rho}{\text{ implies }}((x)f,\;(y)f){\in}{\rho}\}$. In this paper, we investigate some necessary and sufficient conditions for elements in $T_{\rho}(X)$ to be left or right magnifying.

• 대한수학회보
• /
• 제22권1호
• /
• pp.57-61
• /
• 1985

• 한국해양공학회지
• /
• 제21권2호
• /
• pp.12-21
• /
• 2007

As the economy grows and the population increases, we need to develop our coastal area and make use of it for various purposes. Specifically, investigation of the wave interactions on and around the vertical cylinders is very important in the design of the offshore or coastal structures. The nonlinear potential analysis developed so far, although very useful, has been found to be limited in application, as strong nonlinear waves generated by the interference between multilayered cylinders and wave impact forces by breaking waves can hardly be estimated. In this study, using a 3-Dimensional volume tracking method VOF(Volume of Fluid), based on Namer-Stokes equations, was developed to simulate highly nonlinear effects, such as breaking waves at the interface or complicated interference waves among structures. A numerical method for nonlinear interaction wave and vertical cylinders is newly proposed. The wave forces and wave transformations computed by the newly proposed numerical simulation method were compared to the other researcher's experimental results, and the results agree well. Based on the validation of this study, this numerical method is applied to the two vertical cylinders to discuss their nonlinear wave forces and wave transformations, according to the variations of separate distance of vertical cylinders.

• 열처리공학회지
• /
• 제18권5호
• /
• pp.281-287
• /
• 2005

Titanium aluminium nitride((TiAl)N) film is anticipated as an advanced coating film with wear resistance used for drills, bites etc. and with corrosion resistance at a high temperature. In this study, (TiAl)N thin films were deposited both at room temperature and at elevated substrate temperatures of 573 to 773 K by using a two-facing-targets type DC sputtering system in a mixture Ar and $N_2$ gases. Atomic compositions of the binary Ti-Al alloy target is Al-rich (25Ti-75Al (atm%)). Process parameters such as precursor volume %, substrate temperature and Ar/$N_2$ gas ratio were optimized. The crystallization processes and phase transformations of (TiAl)N thin films were investigated by X-ray diffraction, field-emission scanning electron microscopy. The microhardness of (TiAl)N thin films were measured by a dynamic hardness tester. The films obtained with Ar/$N_2$ gas ratio of 1:3 and at 673 K substrate temperature showed the highest microhardness of $H_v$ 810. The crystallized and phase transformations of (TiAl)N thin films were $Ti_2AlN+AlN{\rightarrow}TiN+AlN$ for Ar/$N_2$ gas ratio of 1:3, $Ti_2AlN+AlN{\rightarrow}TiN+AlN{\rightarrow}Ti_2AlN+TiN+AlN$ for Ar/$N_2$ gas ratio of 1:1 and $TiN+AlN{\rightarrow}Ti_2AlN+TiN+AlN{\rightarrow}Ti_2AlN+AlN{\rightarrow}Ti_2AlN+TiN+AlN$ for Ar/$N_2$ gas ratio of 3:1. The above results are discussed in terms of crystallized phases and microhardness.

• 한국통신학회논문지
• /
• 제22권10호
• /
• pp.2091-2101
• /
• 1997

기존의 프랙탈 영상 복호화 방법은 복원하고자 하는 영상의 전체 치역 블럭에 대해 반복 축소 변환을 적용하여야 하므로 복호화시 많은 계산량이 요구되었다. 따라서 본 논문에서는 반복 축소 변환에 소요되는 계산량을 줄이기 위하여 데이타 의존성을 이용한 고속 복호화 알고리즘을 제안한다. 복원하고자 하는 영상의 치역을 변환 계수에 따라 정의역으로 참조된 부분, 즉 참조 치역과 정의역으로 참조되지 않은 부분, 즉 비참조 치역으로 나눈다. 참조치역은 독립적인 반복 축소 변환에 의해 수렴되는 영역이며, 비참조 치역은 참조 치역의 수렴에 의존하여 복호화가 가능한 영역이다. 그러므로 비참조 치역을 데이타 의존 영역으로 정의하였다. 데이타 의존영역은 참조 치역이 수렴될 경우 한 번의 축소 변환만으로 복원된다. 따라서 제안한 방법은 데이타 의존 여역을 제외한 참조 치역에만 반복 축소 변환을 적용하여, 복호화시 소요되는 계산량을 감소함으로써 프랙탈 영상의 고속 복호화를 가능하게 한다.

• 한국해안·해양공학회논문집
• /
• 제20권1호
• /
• pp.1-13
• /
• 2008

본 연구에서는 복수의 대형 연직 주상구조물을 중심으로 구조물에 작용하는 비선형파력과 구조물에 의한 비선형파랑변형을 검토하며, 수치해석의 이론으로 쇄파나 강비선형 파랑을 고정도로 해석할 수 있는 Navier-Stokes방정식에 근거한 3차원 VOF(Volume Of Fluid)법을 적용하였다. 본 수치해석의 타당성을 검증하기 위해 파랑변형과 파력에 대한 기존의 수리실험결과와 본 수치해석결과를 비교 검토하였으며, 이로부터 2기로 구성된 임의형상의 연직 주상구조물에 대해 구조물 형상, 구조물 배치간격, 파의 입사각도 변화에 따른 파력과 파랑변형의 특성을 논하였다.

• International Journal of Computer Science & Network Security
• /
• 제22권3호
• /
• pp.245-251
• /
• 2022

In the context of the pandemic, educational institutions had to ensure an instant transition to remote technological models of communication within the new conditions of the educational environment. The purpose of the academic paper lies in determining the role of the communicative model of educational transformations in the realities of (post) modernity. The research methodology is based on a survey of 120 students from 10 higher educational institutions (HEIs) of Ukraine through an online form regarding the importance of live communication during a pandemic. Results. The communicative model changed significantly during the pandemic - the interaction was mainly due to technologies. The research has identified four communication models of educational transformations under the conditions of the pandemic, depending on learning models. The first traditional model of distance learning involves distance learning; the second model involves contact remote training using remote educational technologies; the third model is blended learning, which combines remote and traditional learning formats, synchronous and asynchronous modes of interaction; the fourth model is traditional contact training. The empirical study of the effectiveness of communication models proves that live communication remains extremely important for learning and understanding of educational materials by students, and technology has provided support for such communication. Along with this, seminars and video lectures with presentations combining live communication and communication technologies are as important as digital learning tools. The most effective teaching method for mastering and memorizing educational material was a live dialogue with a teacher at seminars in ZOOM, followed by individual written assignments on the studied topic.