• Kyungpook Mathematical Journal
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• 제60권3호
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• pp.467-475
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• 2020

Let G be a chemical graph with vertex set {v₁, v₁, …, v_n} and degree sequence d(G) = (deg_G(v₁), deg_G(v₂), …, deg_G(v_n)). The inverse degree, R(G) of G is defined as $R(G)={\sum{_{i=1}^{n}}}\;{\frac{1}{deg_G(v_i)}}$. The cyclomatic number of G is defined as γ = m - n + k, where m, n and k are the number of edges, vertices and components of G, respectively. In this paper, some upper bounds on the diameter of a chemical graph in terms of its inverse degree are given. We also obtain an ordering of connected chemical graphs with respect to the inverse degree.

• 대한수학회논문집
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• 제23권1호
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• pp.29-40
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• 2008

Here, some classes of regular order semigroups are discussed. We shall consider that the problems of the existences of (multiplicative) inverse $^{\delta}po$-transversals for such classes of po-semigroups and obtain the following main results: (1) Giving the equivalent conditions of the existence of inverse $^{\delta}po$-transversals for regular order semigroups (2) showing the order orthodox semigroups with biggest inverses have necessarily a weakly multiplicative inverse $^{\delta}po$-transversal. (3) If the Green's relation $\cal{R}$ and $\cal{L}$ are strongly regular (see. sec.1), then any principally ordered regular semigroup (resp. ordered regular semigroup with biggest inverses) has necessarily a multiplicative inverse $^{\delta}po$-transversal. (4) Giving the structure theorem of principally ordered semigroups (resp. ordered regular semigroups with biggest inverses) on which $\cal{R}$ and $\cal{L}$ are strongly regular.

• Journal of the Korean Data and Information Science Society
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• 제19권2호
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• pp.621-634
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• 2008

This paper addresses the problem of testing whether the means in several inverse Gaussian populations with heterogeneity are equal. The analysis of reciprocals for the equality of inverse Gaussian means needs the assumption of equal scale parameters. We propose Bayesian model selection procedures for testing equality of the inverse Gaussian means under the noninformative prior without the assumption of equal scale parameters. The noninformative prior is usually improper which yields a calibration problem that makes the Bayes factor to be defined up to a multiplicative constant. So we propose the objective Bayesian model selection procedures based on the fractional Bayes factor and the intrinsic Bayes factor under the reference prior. Simulation study and real data analysis are provided.

• 한국산학기술학회논문지
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• 제15권2호
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• pp.1089-1095
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• 2014

본 연구에서는 도심지 지하굴착시 많이 시행하고 있는 역해석기법에 의하여 최종변위를 예측하고 계측자료와 비교 분석함으로써. 굴착도중 역해석 기법의 효율성을 극대화 시키고, 동일한 조건의 현장에서 경제적이고 효과적인 시공관리가 이루어 질 수 있도록 하고자 한다. 첫 번째 단계로 역해석 기법을 적용한 현장을 사례로 제시하고 시공과 계측이 완료된 3군데의 다른 현장에 역해석 기법을 적용하였다. 두 곳 현장에서는 만족할 만한 결과를 도출하였으나 한 군데 현장에서는 해석치와 계측치와의 많은 차이를 보였다. 분석결과는, 역해석 조건과 굴착시공조건을 최대한 일치시켜야 하고, 지하연속벽이 강성의 연속벽체라 할지라도 RANKINE 토압조건과 상이하게 굴착하부의 변위가 크게 발생되는 조건에서는 토압의 전이현상으로 토압의 균등화가 이루어지기 때문에 삼각형 형태의 RANKINE 토압 적용성에 대한 신중한 제고가 필요하다. 그리고 토질정수 재산정시 풍화대의 점착력과 지하수위의 경험적 고려가 필요한 것으로 판단된다.

• 대한수학회보
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• 제53권2호
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• pp.541-550
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• 2016

In this paper, we introduce a quasi-Banach algebra of infinite matrices, which is inverse-closed in the Banach algebra B(${\ell}^2$) of all bounded operators on ${\ell}^2$.

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.193-203
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• 2007

In this paper we consider the inverse minimum flow (ImF) problem, where lower and upper bounds for the flow must be changed as little as possible so that a given feasible flow becomes a minimum flow. A linear time and space method to decide if the problem has solution is presented. Strongly and weakly polynomial algorithms for solving the ImF problem are proposed. Some particular cases are studied and a numerical example is given.

• 한국진공학회:학술대회논문집
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• 한국진공학회 2012년도 제42회 동계 정기 학술대회 초록집
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• pp.267-267
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• 2012

$TiO_2$-Ni inverse catalysts were prepared using atomic layer deposition (ALD) process and catalytic $CO_2$ reforming of methane (CRM) reaction over catalysts (either bare Ni or $TiO_2$ coated-Ni particles) were performed using a continuous flow reactor at $800^{\circ}C$. $TiO_2$-Ni inverse catalyst showed higher catalytic reactivity at initial stage of CRM reactions at $800^{\circ}C$ comparing to bare Ni catalysts. Moreover, catalytic activity of $TiO_2$/Ni catalyst was kept high during 13 hrs of the CRM reactions at $800^{\circ}C$, whereas deactivation of bare Ni surface was started within 1hr under same conditions. The results of surface analysis using SEM, XPS, and Raman showed that deposition of graphitic carbon was effectively suppressed in a presence of $TiO_2$ nanoparticles on Ni surface, thereby improving catalytic reactivity and stability of $TiO_2$/Ni catalytic systems. We suggest that utilizing decoration effect of metal catalyst with oxide nanoaprticles is of great potential to develop metal-based catalysts with high stability and reactivity.

• 한국정밀공학회지
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• 제18권12호
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• pp.66-72
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• 2001

In this paper, by using pseudo-inverse matrix of the spatial redundant flexible manipulators, a position control method and its effect in vibration suppression was presented. Vibration suppression control was developed using lumped mass spring model of the flexible manipulators. With 2 elastic links and 7 rotory joint manipulator ADAM, (1)position control for no redundancy, and (2)position control for one redundant DOF(degree of freedom) were tested. The objective of this experiment is to show the effect of position control, using pseudo-inverse matrix. toward the improvement of operation, and at the same time, to reduce the vibration of the link and the magnitude of the joint torque.

• 한국정보통신학회논문지
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• 제18권6호
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• pp.1262-1268
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• 2014

역문제는 특히 시스템 모델링 및 모니터링과 같은 과학 및 공학분야에서 매우 흥미로운 주제이다. 역문제를 활용하면 광물자원의 탐사, 지하에 매설된 케이블 및 파이트라인 등의 동정, 의료 분야에서의 비파괴 검사 등에 응용가능하다. 본 연구에서는 먼저 2차원 전자계 산란문제를 다루고 이에 대한 FDTD법 정식화를 다룬다. 이 경우 근방계에서 관측된 데이터를 토대로 미지의 소스를 추정하기 위한 방법으로서 비선형 CGM법을 이용하였다. 본 연구에서 제안된 방법에 따른 실험결과로 볼 때 임베디드 시큐리티 모듈과 같은 원 신호 추정문제에 적용 가능할 것으로 보인다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제2권2호
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• pp.67-80
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• 1998

In this paper the linear algebraic system obtained from a singular integral equation with variable coeffcients by a quadrature-collocation method is considered. We study this underdetermined system by means of the Moore Penrose generalized inverse. Convergence in compact subsets of [-1, 1] can be shown under some assumptions on the coeffcients of the equation.