• Journal of the Korean Mathematical Society
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• v.57 no.2
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• pp.451-470
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• 2020

Let C[0, T] denote an analogue of Wiener space, the space of real-valued continuous functions on the interval [0, T]. For a partition 0 = t₀ < t₁ < ⋯ < t_n < t_n+1 = T of [0, T], define X_n : C[0, T] → ℝⁿ⁺¹ by X_n(x) = (x(t₀), x(t₁), …, x(t_n)). In this paper we derive a simple evaluation formula for Radon-Nikodym derivatives similar to the conditional expectations of functions on C[0, T] with the conditioning function X_n which has a drift and does not contain the present position of paths. As applications of the formula with X_n, we evaluate the Radon-Nikodym derivatives of the functions ∫₀^T[x(t)]^mdλ(t)(m∈ℕ) and [∫₀^Tx(t)dλ(t)]² on C[0, T], where λ is a complex-valued Borel measure on [0, T]. Finally we derive two translation theorems for the Radon-Nikodym derivatives of the functions on C[0, T].

• Journal of KIISE:Databases
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• v.34 no.6
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• pp.528-545
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• 2007

Recently ontology has been an attractive technology along with the business strategy of providing a plenty of more intelligent services. The essential problem in application domains using ontology is that all members, agents, and application programs in the domains must share the same ontology concepts. However, a variety of mobile devices, sensing devices, and network components manufactured by various companies, a variety of common carriers, and a variety of contents providers make multiple heterogeneous ontologies more likely to coexist. We can see many past researches fallen into resolving this semantic interoperability. Such methods can be broadly classified into by-mapping, by-merging, and by-translation. In this research, we focus on by-translation among them which uses a translation rule directly made between two heterogeneous ontology data like OntoMorph. However, the manual composition of the direct translation rule is not convenient by itself and if there are N ontologies, the direct method has the rule composition complexity of $O(N^2)$ in the worst case. Therefore, in this paper we introduce the cascade composition of translation rules based on web openness in order to improve the complexity. The research result made us recognize some important factors in an ontology translation system, that is speediness of translation, and conveniency of translation rule composition, and some experiments and comparing analysis with existing methods showed that our cascade method has more conveniency with insuring the speediness and the correctness.

• The Transactions of the Korean Institute of Electrical Engineers D
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• v.51 no.2
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• pp.61-68
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• 2002

This paper presents a new matching algorithm for fingerprint recognition, which is robust to image translation. The basic idea of this paper is to estimate the translation vector of an imput fingerprint image using N minutiae at which the gradient of the ridge direction field is large. Using the estimated translation vector we select minutiae irrelevant to the translation. We experimentally prove that the presented algorithm results in good performance even if there are large translation and pseudo-minutiae.

• Proceedings of the Korea Information Processing Society Conference
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• 2008.11a
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• pp.828-831
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• 2008

플래시 메모리(Flash Memory) 기술이 빠르게 발전하면서, 플래시 메모리 기반의 저장 장치가 개인용 컴퓨터나 엔터프라이즈 서버 시스템과 같은 시스템에 2차적인 저장 장치로써 사용가능해지고 있다. FTL(Flash Translation Layer)의 기본적인 기능은 플래시 메모리의 논리 주소를 물리 주소로 바꾸는 것임에도 불구하고, FTL의 효율적인 알고리즘은 성능과 수명에 상당한 효과를 가지고 있다. 이 논문에서는 MP3 플레이어와 디지털 카메라, SSDs(Solid-State Disk)와 같은 낸드 플래시 메모리(NAND Flash Memory) 기반의 어플리케이션을 위한 N : N+K 매핑을 사용하는 새로운 FTL 설계를 제안한다. 성능에 영향을 미치는 매개변수들을 분류하여, 다양한 워크로드 분석을 기반으로 FTL을 조사했다. 우리가 제안하는 FTL을 가지고, 낸드 플래시 어플리케이션 가동에 따라 어떤 매개변수가 최대 성능을 낼 수 있는지 알아낼 수 있고, 그 변수들을 유연하게 조정하여 성능을 더 향상시킬 수 있다.

• Honam Mathematical Journal
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• v.46 no.2
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• pp.249-266
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• 2024

In this work, we study time-like and space-like surfaces invariant by a group of translation isometries of the half-space model ℋ³₁ of the anti-de Sitter space ℍ³₁ . We determine all such surfaces with constant mean curvature and constant Gaussian curvature. We also obtain umbilical surfaces of ℋ³₁.

• Journal of applied mathematics & informatics
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• v.25 no.1_2
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• pp.533-540
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• 2007

For a certain open set G in the complex plane $\mathbb{C}$, we construct a transcendental entire function f, such that whose translated family {$f(2^nz)$} is finitely normal exactly on the set G.

• Bulletin of the Korean Mathematical Society
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• v.61 no.1
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• pp.161-193
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• 2024

In this paper, we consider the asymptotic behavior of solutions for the partly dissipative reaction diffusion systems of the FitzHugh-Nagumo type with hereditary memory and a very large class of nonlinearities, which have no restriction on the upper growth of the nonlinearity. We first prove the existence and uniqueness of weak solutions to the initial boundary value problem for the above-mentioned model. Next, we investigate the existence of a uniform attractor of this problem, where the time-dependent forcing term h ∈ L²_b(ℝ; H^-1(ℝ^N)) is the only translation bounded instead of translation compact. Finally, we prove the regularity of the uniform attractor A, i.e., A is a bounded subset of H²(ℝ^N) × H¹(ℝ^N) × L²_µ(ℝ⁺, H²(ℝ^N)). The results in this paper will extend and improve some previously obtained results, which have not been studied before in the case of non-autonomous, exponential growth nonlinearity and contain memory kernels.

• Journal of the Korean Mathematical Society
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• v.32 no.3
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• pp.573-582
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• 1995

J.Milnor[Mi2] has introduced the notion of directional entropy in his study of Cellular Automata. Cellular Automaton map can be considered as a continuous map from a space $K^Z^n$ to itself which commute with the translation of the lattice $Z^n$. Since the space $K^Z^n$ is compact, map S is uniformly continuous. Hence S is a block map(a finite code)[He]. (S is said to have a finite memory.) In the case of n = 1, we have a shift map, T on $K^Z$, and a block map S and they together generate a $Z^2$ action.

• The Journal of Korean Physical Therapy
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• v.26 no.2
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• pp.97-103
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• 2014

Purpose: The aim of this study was to clarify the gender difference during standing balance in accordance with recruitment of abdominal muscles against sudden support surface translation. Methods: Twenty healthy males (n = 10, $26.50{\pm}3.54$ years, $170.60{\pm}6.30cm$, $72.80{\pm}5.69kg$) and females (n = 10, $24.40{\pm}2.63$ years, $163.00{\pm}4.97cm$, $52.10{\pm}4.41kg$) participated in the study. Each subject performed standing balance task on a platform, which moved in the anterior and posterior direction, with a total of 18 trials in three abdominal conditions (resting, hollowing, and bracing). We analyzed angular displacement of thoracic and lumbar spine and linear displacement of center of mass for evaluatione of spinal stability and standing balance, respectively. Results: Angular displacement of thoracic and lumbar spine and linear displacement of center of mass did not differ significantly between female and male in all conditions. Conclusion: Our results indicate that the ability to maintain spinal stability and standing balance were similar between male and female regardless of the abdominal contractile conditions and the direction of support surface translation.

• The Journal of Korean Physical Therapy
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• v.26 no.2
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• pp.90-96
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• 2014

Purpose: The aim of the study was to develop the Korean version of the Working Alliance Inventory (KWAI) and to assess reproducibility of both its therapist and client forms. Methods: The 12-item WAI was translated into Korean. The translation procedure followed the guidelines proposed by Beaton et al. (2000). Development of KWAI involved its translation, back-translation, and pilot testing of the pre-final version to establish Korean cultural adaptation of the original version of WAI. For test-retest reliability, therapists (N=30) and clients (N=47) completed the questionnaire on two different occasions. The interval between occasions was two to seven days, depending on subject availability. Data were collected from clinicians working in general hospitals and private clinics, and clients who had received treatment within three months. The intra-class correlation (ICC ($_{2.1}$)) was calculated for assessment of the reproducibility of the translated questionnaire. Results: The test-retest ICC ($_{2.1}$) of the client form and the therapist form was 0.92 (95%CI:0.86-0.95) and 0.94 (95%CI:0.89-0.97), respectively. Answers to items 2, 8, and 11 showed a tendency to be omitted due to ambiguity of meaning in Korean. Idiomatic expression was employed rather than word-to-word translation to have clear meaning of those items. Conclusion: The KWAI was successfully translated and adapted for applications to Korean clients and therapists, with a satisfactory level of reliability. Therefore, it can be suggested that the KWAI is useful in providing a reliable assessment of working alliance between therapists and clients.