• Bulletin of the Korean Mathematical Society
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• v.48 no.5
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• pp.969-990
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• 2011

Assume that X, partitioned into $2{\times}2$ block form, is a solution of the system of quaternion matrix equations $A_1XB_1$ = $C_1,A_2XB_2=C_2$. We in this paper give the maximal and minimal ranks of the submatrices in X, and establish necessary and sufficient conditions for the submatrices to be zero, unique as well as independent. As applications, we consider the common inner inverse G, partitioned into $2{\times}2$ block form, of two quaternion matrices M and N. We present the formulas of the maximal and minimal ranks of the submatrices of G, and describe the properties of the submatrices of G as well. The findings of this paper generalize some known results in the literature.

• Bulletin of the Korean Mathematical Society
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• v.32 no.2
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• pp.337-342
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• 1995

A semiring is a binary system $(S, +, \times)$ such that (S, +) is an Abelian monoid (identity 0), (S,x) is a monoid (identity 1), $\times$ distributes over +, 0 $\times s s \times 0 = 0$ for all s in S, and $1 \neq 0$. Usually S denotes the system and $\times$ is denoted by juxtaposition. If $(S,\times)$ is Abelian, then S is commutative. Thus all rings are semirings. Some examples of semirings which occur in combinatorics are Boolean algebra of subsets of a finite set (with addition being union and multiplication being intersection) and the nonnegative integers (with usual arithmetic). The concepts of matrix theory are defined over a semiring as over a field. Recently a number of authors have studied various problems of semiring matrix theory. In particular, Minc [4] has written an encyclopedic work on nonnegative matrices.

• Bulletin of the Korean Chemical Society
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• v.21 no.3
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• pp.310-316
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• 2000

Molecular dynamics simulation studies for thermotropic liquid crystalline systems conposed of rodlike molecules with 6 Lennard-Jones interaction sites wre performed in NPT ensemble. Within the range of temperature studied, the system exhibited isotropic and smectic phase. For the characterization of the smectic phase, we examined the structure of the liquid crystalline phase via the radial distribution function, its longitudinal and transverse components to the director, and other orientational correlation function, its longitudinal and transverse components to the director, and other orientational correlation functions. In the smectic A phase, our results showed a large anisotropy in translational motion (i.e.,$D_⊥ >> D_∥$), and the decay of the collective orientational correlation function of rank two became slower than that of the single particle orientational correlation function of rank one. Comments on the spontaneous growth of orientational order directly from the isotropic phase are given.

• Korean Journal of Heritage: History & Science
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• v.53 no.2
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• pp.180-203
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• 2020

In this study, the period before the Gwanbok of meritorious vassals' portraits was expressed in the acheongsaek-Heuk-Danryung was defined as the first period, and the costumes worn in portraits of meritorious vassals from Gaeguk (1392) in the early Joseon Dynasty to Jwali (1471) during the era of King Seongjong were reviewed. The portraits(1476) of Jeokgae meritorious vassals (1467) depicted as the Gwanbok of acheongsaek Heuk-Danryung were excluded. Among the copies that are currently considered to be portraits of meritorious vassals belonging to the first period, the portraits of Lee-je, Lee Cheon-woo, Ma Cheon-mok, Shin Suk-ju, Seol Gye-jo, and Lee Sung-won were selected, and the formative characteristics of Gwanbok components were examined. The Samo of Sam-Gongsin in the early Joseon Dynasty had a low height, a rounded end, and the side wings were narrow and short. However, since King Danjong, Jeongnan·Jwali meritorious vassals retained a higher form, and the side wings were twice as long. It was also confirmed that the pattern was not expressed in the side wings. The Danryung was expressed in light-colored Danryung without specific colors at the beginning of the country. After King Sejong, the Heuk-Danryung system for Yebok began, but it was not reflected in the Gwanbok of meritorious vassals' portraits, and was expressed as damhongsaek-Danryung after King Danjong. The pattern was not expressed on the exterior of the Danryung, and inner-wrinkled Mu was expressed on the side line. The Dapho and Cheolrik, the undergarments of the Danryung, were also confirmed as being blue (the Dapho) and green (the Cheolrik) after the Jeongnan meritorious vassals. The early Sam-Gongsin's Pumgye was expressed by rank belt, but as the system of rank badge was established after King Danjong, it began to express the Pumgye by rank badge and rank belt. Among the portraits of meritorious vassals, the rank badge was expressed only in the portrait of Sin Suk-ju, a Jeongnan meritorious vassal. As Hwaja worn on the Danryung, Heuk-hwa were confirmed in the Sam-Gongsin portraits of the early Joseon Dynasty. However, in the portraits of Jeongnan and Jwali meritorious vassals after King Danjong, the Baek-hwa was confirmed. In addition, in the seam parts of the Heuk-hwa and Baek-hwa identified in some portraits of meritorious vassals, Hwi decorated with yeongeumsa were identified, and it was found that the Hwaja decorated with Hwi were the Hyeopgeum-hwa worn by the 3rd rank and above.

• 제어로봇시스템학회:학술대회논문집
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• 2002.10a
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• pp.60.1-60
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• 2002

. an output feedback stabilizing controller for non-minimum phase nonlinear systems . Assumption 1 : the Jacobi linearization of the given nonlinear linear system is controllable . Assumption 2: an appropriate transformation which transforms the zero dynamics into a special form . Assumption 3: the system satisfies the observability rank condition . Augmentation of systems by augmented by a chain of integrators

• Journal of the Korean Society for information Management
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• v.16 no.1
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• pp.7-30
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• 1999

This study is to develop effective document ranking algorithms in the P-norm retrieval system which can be implemented to the Boolean retrieval system without major difficulties by using non-statistical term weights based on document structure. Also, it is to enhance the performance by introducing the rank adjustment process which rearranges the ranks of retrieved documents according to the similarity between the top ranked documents and the rest of them. Of the non-statistical term weight algorithms, this study uses field weight and term pair distance weight. In the rank adjustment process, five retrieval experiments were performed, ranging between the case of using one record for the similarity measurement and the case of using first five records. It is proved that non-statistical term weights are highly effective and the rank adjustment process enhance the performance further.

• Journal of Korea Society of Industrial Information Systems
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• v.12 no.4
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• pp.65-73
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• 2007

This study devotes to compare the accuracy of Top-N recommendations of items transacted on the web site for customers with the accuracy of rank conformity of the real ratings with estimated ratings for customers preference about items generated from two types of collaborative filtering algorithms. One is Neighborhood Based Collaborative Filtering Algorithm(NBCFA) and the other is Correspondence Mean Algorithm(CMA). The result of this study shows the accuracy of Top-N recommendations and the rank conformity of real ratings with estimated ratings generated by CMA are better than that of NBCFA. It would be expected that the customer's satisfaction in Recommender System is more improved by using the prediction result from CMA than NBCFA, and then Using CMA in collaborative filtering recommender system is more efficient than using NBCFA.

• International Journal of Control, Automation, and Systems
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• v.3 no.3
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• pp.430-443
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• 2005

A general construction algorithm of the Grassmann space parameters in linear systems - so-called, the Plucker matrix, 'L' in m-input, p-output, n-th order static output feedback systems and the Plucker matrix, $'L^{aug}'$ in augmented (m+d)-input, (p+d)-output, (n+d)-th order static output feedback systems - is presented for numerical checking of necessary conditions of complete static and complete minimum d-th order dynamic output feedback pole-assignments, respectively, and also for discernment of deterministic computation condition of their pole-assignable real solutions. Through the construction of L, it is shown that certain generically pole-assignable strictly proper mp > n system is actually none pole-assignable over any (real and complex) output feedbacks, by intrinsic rank deficiency of some submatrix of L. And it is also concretely illustrated that this none pole-assignable mp > n system by static output feedback can be arbitrary pole-assignable system via minimum d-th order dynamic output feedback, which is constructed by deterministic computation under full­rank of some submatrix of $L^{aug}$.

• Journal of the Korean housing association
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• v.18 no.5
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• pp.133-141
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• 2007

The purpose of this study is to secure an evacuation time and to ensure safety by using an Ubiquitous Sensor Network computing when a fire breaks out at a super high-rise apartment housing. A super high-rise apartment housing that is a type of building to solve the problem of separation of the urban function and the phenomenon of hollowing out downtown has been on the increase, high-rise apartment housings occupying 52.7% of whole housings in 2005. However, if a fire breaks out, there would be serious damage since it accommodates many people and facilities as existence of vertical gigantism in the city. The architectural law in force has no clause on it which is universally applicable to general building, it is difficult to be applicable to a densely super high-rise apartment housing and there would be in danger of a resident's evacuation in the fire. Therefore, as a previous study to introduce an USN-based fire-warning facility and evacuation equipment, this study shows the improvement way after analyzing factors that are barriers to evacuaee's behavior of a super high-rise apartment housing and also shows establishment of the grade of vertical evacuation rank by SimuleX, one of the best computer simulation program.

• Proceedings of the Acoustical Society of Korea Conference
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• spring
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• pp.107-110
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• 2002

현재까지 개발된 화자식별 시스템 중 가중모델순위(Weighting Model Rank; WMR)방법을 이용한 화자인식 시스템이 비교적 높은 인식성능을 나타내고 있다. WMR 방법은 각 화자에 대한 프레임 유사도의 순위에 따라 지수함수 가중치로 대치시키는 방법을 사용하고 있으나, 이 방법은 유사도 본래의 변별력이 전체 계산에서 고려되지 않는 문제가 있었다. 이를 해결하기 위해 본 논문에서는 각 화자의 프레임 유사도와 지수함수를 이용한 가중치를 곱한 값을 이용하여 전체 스코어를 계산하도록 하는 수정된 가중모델 순위방법(Modified Weighting Model Rank; MWMR)을 제안한다. 제안한 방법의 유효성을 확인하기 위하여 316명의 화자를 대상으로 하여 인식실험을 실시한 결과, 학습 프레임이 10,000일 경우, MWMR 방법에서 $98.1\%$의 화자 인식률을 얻어 WMR 방법에 비해 약 $2.0\%$의 향상된 인식결과를 보여 제안한 방법의 유효성을 확인할 수 있었다.