• Korean Journal of Mathematics
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• 제31권3호
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• pp.313-321
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• 2023

In this paper, we explore the additivity of the map Ω : 𝒜 → 𝒜 that satisfies Ω([ℒ, ℳ]_*)=[Ω (ℳ), ℒ]_* + [ℳ, Ω(ℒ)]_*, where [ℒ, ℳ]_*= ℒℳ^* - ℳ ℒ^*, for all ℒ, ℳ ∈ 𝒜, a prime *-algebra with unit ℐ. Additionally we show that if Ω (αℐ) is self-adjoint operator for α ∈ {1, i} then Ω = 0.

• 대한수학회지
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• 제36권2호
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• pp.403-419
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• 1999

We introduce a Hamiltonian system which consists of two balls in the vertical line colliding elastically with each other and the floor. Wojtkowski proved that for the system of two linear balls with a linear potential (with gravity), there is a periodic orbit which becomes linearly stable if m1

• Journal of applied mathematics & informatics
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• 제7권1호
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• pp.83-100
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• 2000

Many queueing systems such as M/M/s/K retrial queue with impatient customers, MAP/PH/1 retrial queue, retrial queue with two types of customers and MAP/M/$\infty$ queue can be modeled by a level dependent quasi-birth-death(LDQBD) process with linear transition rates of the form ${\lambda}_k$={\alpga}{+}{\beta}k$ at each level $\kappa$. The purpose of this paper is to propose an algorithm to find transient distributions for LDQBD processes with linear transition rates based on the adaptive uniformization technique introduced by van Moorsel and Sanders [11]. We apply the algorithm to some retrial queues and present numerical results.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 22-24 Oct. 1991
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• pp.1845-1847
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• 1991

In general, it is not easy to find the linearizing coordinate transformation map for a class of systems which are state equivalent to linear systems, because it is required to solve a set of partial differential equations. It is possible to construct an arbitrary nonlinear function with a backpropagation(BP) net. Utilizing this property of BP neural net, we construct a desired linearizing coordinate transformation map. That is, we implement a unknown coordinate transformation map through the training of neural weights. We have shown an example which supports this idea.

• 대한원격탐사학회:학술대회논문집
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• 대한원격탐사학회 2006년도 Proceedings of ISRS 2006 PORSEC Volume II
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• pp.643-646
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• 2006

This paper addresses the approach to extract linear features from satellite imagery using an efficient segmentation method. The extraction of linear features from satellite images has been the main concern of many scientists. There is a need to develop a more capable and cost effective method for the Iranian map revision tasks. The conventional approaches for producing, maintaining, and updating GIS map are time consuming and costly process. Hence, this research is intended to investigate how to obtain linear features from SPOT satellite imagery. This was accomplished using a discontinuity-based segmentation technique that encompasses four stages: low level bottom-up, middle level bottom-up, edge thinning and accuracy assessment. The first step is geometric correction and noise removal using suitable operator. The second step includes choosing the appropriate edge detection method, finding its proper threshold and designing the built-up image. The next step is implementing edge thinning method using mathematical morphology technique. Lastly, the geometric accuracy assessment task for feature extraction as well as an assessment for the built-up result has been carried out. Overall, this approach has been applied successfully for linear feature extraction from SPOT image.

• 한국해안·해양공학회논문집
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• 제20권2호
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• pp.194-202
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• 2008

일반적으로 지진해일 경보 발령 시 예상해일고를 산정하기 위해 큰 격자의 선형모형을 사용하게 되므로 범람역이 과소 산정된다. 그러므로 비상대피 계획을 위해 예보해일고에 상응하는 정도 높은 범람도를 필요로 한다. 본 연구에서는 범람역의 정량예보를 위해 상대적으로 정도 높은 지진해일 범람도를 작성하는 실용적인 방법을 제안하였다. 이 방법은 다음과 같다. 선형 지진해일 수치모형을 사용하여 대상지역 주변에 특정 지진해일고를 유발시키는 잠재 지진해일 발생원의 단층 변위를 산정한다. 이렇게 구해진 단층 변위에 대해 비선형 범람 수치모형을 이용하여 대상지역의 최대 침수포락선을 계산하고 범람도를 작성한다. 본 연구에서는 임원항을 대상지역으로 11개의 잠재 지진해일 발생원에 대해 예상범람도를 작성하여 제안된 기법의 타당성을 검토하였다.

• 의료ㆍ복지 건축 : 한국의료복지건축학회 논문집
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• 제24권4호
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• pp.17-25
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• 2018

Purpose: Korean society is undergoing the rapid increase and poverty of elderly population. Therefore, the appropriate supply and planning of public rental housing for the low-income elderly is more important. The purpose of this study is to present the basic data for the study and planning of the elderly housing complex by analyzing the cognitive characteristics of the elderly residing in the rental housing. Methods: A questionnaire survey was conducted to identify health characteristics of the elderly living in the 'Gongreung SH Apartment'. 100 random samples were collected and 82 valid samples were analysed. Statistical analysis was performed using Excel and R for the age, sex, health, outdoor walking frequency and characteristics of Cognitive map of the elderly. Results: The characteristics of cognitive map were classified into point shapes and linear shapes. The linear group was lower in average age than the point group and tended to draw the map wider. The wider the map was, the more the number of elements in cognitive map was. The number of elements on the cognitive map decreased as respondents' age increased. On the other hand it was not related to residence period and gender of the elderly. Implication: The cognitive extent of the residential environment tends to decrease with age. Men's cognitive range is wider than women's. There is no corelation between the number of cognitive elements and cognitive map type. Men tend to have a systematic image of city, whereas women focus on relational and social urban factors. For sustainable apartment complex design, various characteristics of the group including men and women, different age and different health status should be considered.

• East Asian mathematical journal
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• 제30권5호
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• pp.583-597
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• 2014

In this paper, we study an area-preserving piecewise linear map with the feature of dangerous border collision bifurcations. Using this map, we study dynamical properties occurred in the invariant set, specially related to the boundary of KAM-tori, and the existence and stabilities of periodic orbits. The result shows that elliptic regions having periodic orbits and chaotic region can be divided by smooth curve, which is an unexpected result occurred in area preserving smooth dynamical systems.

• Genomics & Informatics
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• 제17권4호
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• pp.39.1-39.20
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• 2019

Analyzing patterns in data points embedded in linear and non-linear feature spaces is considered as one of the common research problems among different research areas, for example: data mining, machine learning, pattern recognition, and multivariate analysis. In this paper, data points are heterogeneous sets of biosequences (composite data points). A composite data point is a set of ordinary data points (e.g., set of feature vectors). We theoretically extend the derivation of the largest generalized eigenvalue-based distance metric D_ij(γ₁) in any linear and non-linear feature spaces. We prove that D_ij(γ₁) is a metric under any linear and non-linear feature transformation function. We show the sufficiency and efficiency of using the decision rule $\bar{{\delta}}_{{\Xi}i}$(i.e., mean of D_ij(γ₁)) in classification of heterogeneous sets of biosequences compared with the decision rules min_𝚵iand median_𝚵i. We analyze the impact of linear and non-linear transformation functions on classifying/clustering collections of heterogeneous sets of biosequences. The impact of the length of a sequence in a heterogeneous sequence-set generated by simulation on the classification and clustering results in linear and non-linear feature spaces is empirically shown in this paper. We propose a new concept: the limiting dispersion map of the existing clusters in heterogeneous sets of biosequences embedded in linear and nonlinear feature spaces, which is based on the limiting distribution of nucleotide compositions estimated from real data sets. Finally, the empirical conclusions and the scientific evidences are deduced from the experiments to support the theoretical side stated in this paper.

• 대한수학회논문집
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• 제11권3호
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• pp.649-655
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• 1996

A positive, disjoint linear map $\phi : A \to B$ of C^*$-algebras preserves absolute values if any *-anti-homomorphism $\psi : A \to B$ is skew-hermitian with respect to every commutators of unitary elements.