• Journal of applied mathematics & informatics
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• v.23 no.1_2
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• pp.167-182
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• 2007

The existence of solutions of the following multi-point boundary value problem $${x^{(n)}(t)=f(t,\;x(t),\;x'(t),{\cdots}, x^{(n-2)}(t))+r(t),\;0 is studied. Sufficient conditions for the existence of at least one solution of BVP(*) are established. It is of interest that the growth conditions imposed on f are allowed to be super-linear (the degrees of phases variables are allowed to be greater than 1 if it is a polynomial). The results are different from known ones since we don't apply the Green's functions of the corresponding problem and the method to obtain a priori bounds of solutions are different enough from known ones. Examples that can not be solved by known results are given to illustrate our theorems.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2009.05a
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• pp.152-155
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• 2009

In this paper, we propose the image encryption method using complemented MLCA based on 90/150 NBCA(Null Boundary Cellular Automata). The encryption method is processed in the following order. First, complemented MLCA, which is derived from linear LFSR, is used to produce a PN(pseudo noise) sequence, which matches the size of the original image. Then, the created complemented MLCA sequence goes through a XOR operation with the original image to become encrypted. Lastly, an experiment is processed to verify the effectiveness of this method.

• Bulletin of the Korean Mathematical Society
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• v.56 no.5
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• pp.1297-1314
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• 2019

In this work, we investigate the following fractional boundary value problems $$\{_tD^{\alpha}_T({\mid}_0D^{\alpha}_t(u(t)){\mid}^{p-2}_0D^{\alpha}_tu(t))\\={\nabla}W(t,u(t))+{\lambda}g(t){\mid}u(t){\mid}^{q-2}u(t),\;t{\in}(0,T),\\u(0)=u(T)=0,$$ where ${\nabla}W(t,u)$ is the gradient of W(t, u) at u and $W{\in}C([0,T]{\times}{\mathbb{R}}^n,{\mathbb{R}})$ is homogeneous of degree r, ${\lambda}$ is a positive parameter, $g{\in}C([0,T])$, 1 < r < p < q and ${\frac{1}{p}}<{\alpha}<1$. Using the Fibering map and Nehari manifold, for some positive constant ${\lambda}_0$ such that $0<{\lambda}<{\lambda}_0$, we prove the existence of at least two non-trivial solutions

• East Asian mathematical journal
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• v.39 no.3
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• pp.271-278
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• 2023

We consider a 1-dimensional reaction diffusion equation with the following boundary conditions arising in a theory of the thermal explosion {-u"(t) = λf(u(t)), t ∈ (0, l), -u'(0) + C(0)u(0) = 0, u'(l) + C(l)u(l) = 0, where C : [0, ∞) → (0, ∞) is a continuous and nondecreasing function, λ > 0 is a parameter and f : [0, ∞) → (0, ∞) is a continuous function. We establish the extension of Quadrature method introduced in [8]. Using this extension, we provide numerical results for models with a typical function of f and C in a thermal explosion theory, which verify the existence, uniqueness and multiplicity results proved in [6].

• The Journal of Korea Robotics Society
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• v.6 no.1
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• pp.86-96
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• 2011

The human-following is one of the significant procedure in human-friendly navigation of mobile robots. There are many approaches of human-following technology. Many approaches have adopted various multiple sensors such as vision system and Laser Range Finder (LRF). In this paper, we propose detection and tracking approaches for human legs by the use of a single LRF. We extract four simple attributes of human legs. To define the boundary of extracted attributes mathematically, we used a Support Vector Data Description (SVDD) scheme. We establish an efficient leg-tracking scheme by exploiting a human walking model to achieve robust tracking under occlusions. The proposed approaches were successfully verified through various experiments.

• Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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• 2002.10a
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• pp.245-250
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• 2002

This report describes the effects of following flaws due to ship's propeller on the fish farm structure when the ship's propeller is operated in full power. This study is applied an incompressible newtonian fluid theory, which is governed the Navier-Stokes equation. For the numerical solution, Neumann equation are applied as the boundary conditions. The result shows that the flow velocity near the fish farm is 1.0 m/sec. The actual measurement carries out by using propeller type velocimeter in order to measure the velocity of following flows and currents around the fish farm area. The result shows that the maximum velocity near the fish farm structure is 1.2 m/sec in depth of 1.5 m. This velocity is used for calculation of external force on the fish farm structure. The results of structural strength of the fish farm structures show that the actual maximum bending moment and bending stress are less than the damage strength of material. So the fish farm structure is not affected by the following flows and currents of ship's propeller.

• Korean Journal of Cognitive Science
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• v.22 no.2
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• pp.173-192
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• 2011

The visual system applies previously learned contextual knowledge to facilitate the perception and encoding of scenes. When extrapolation following the employment of contextual information occurs, it sometimes leads to scene memory distortion: people report as if they saw more than they actually had seen. This phenomenon is called the "boundary extension" effect (Intraub & Richardson, 1989). The present study aimed to clarify the effects of contextual information on boundary extension in a more systematic way. Based on the assumption that it is harder to extract contextual information from inverted scenes compared to intact scenes, we presented inverted scenes either during encoding or retrieval to manipulate the level of contextual information and compared the magnitude of boundary extension effect for upright versus inverted scenes. In a series of experiments, we found that scene inversion during encoding, but not during retrieval, significantly reduced boundary extension. Showing reduced memory distortion for inverted scenes, the current study directly demonstrated that access to contextual information is a critical component of scene extrapolation process.

• Speech Sciences
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• v.11 no.1
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• pp.117-130
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• 2004

This paper investigates the English intonation of Korean speakers of English as a second language and compares it to that of English native speakers. The speech data of ten Korean speakers and three native speaker controls were tape recorded in an oral reading task in which the subjects were asked to read aloud the given text which was used in the study of Wennerstrom (1994). Following Pierrehumbert and Hirschberg (1990) who distinguishes the discrete units of meaning in intonation, pitch accents, phrase accents and boundary tones were measured. It was found that Korean speakers' use of phrase accents and boundary tones were relatively good compared to their use of pitch accents. That is, Korean speakers conform to native speakers' use of phrase or boundary tones for the purpose of marking the relationship between intermediate or intonational phrases. In contrast, the main difference of Korean speakers' use of intonation from that of native speakers was the use of pitch accents. That is, Korean speakers tend to have difficulty in assigning an appropriate pitch accent to signal relationships between new or contrastive information and that which is assumed to be understood or contributes little to the meaning of the utterance.

• Journal of applied mathematics & informatics
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• v.34 no.3_4
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• pp.269-284
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• 2016

In this paper, we firstly use Krasnosel'skii fixed point theorem to investigate positive solutions for the following three-point boundary value problems for p-Laplacian with a parameter $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+{\lambda}f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕ_p(s) = |s|^p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1), λ > 0 is a parameter. Then we use Leggett-Williams fixed point theorem to study the existence of three positive solutions for the fractional boundary value problem $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕ_p(s) = |s|^p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1).

• Speech Sciences
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• v.12 no.4
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• pp.141-152
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• 2005

This paper shows the tonal patterns of English conjunctive utterances produced by Korean speakers of English, presenting that Korean speakers realize either the H - phrase tone or the H% boundary tone at the phrase-final part of the conjunctive utterances. Based on Pierrehumbert & Hirschberg's (1990) claim that either H- or H% tone indicates that a phrase is related to the following one, Korean speakers seem to produce the satisfactory patterns of edge tones in conjunctive sentences. In the experiment, we made up conjunctive sentences including both coordinate conjunctions such as and, but, or, and so and subordinate conjunctions like if, when and though. We varied the stimuli according to the existence of a comma and the lengths of connecting words and phrases. We also divided the subjects into two levels of English proficiency based on their English written test scores to see if Korean speakers' performance ability of edge tones is related with their general competence of English. Results show that Korean speakers produced 84% of the H- phrase tone in intermediate phrases and H-L% and L-H% boundary tones in intonational phrases. Also, coordinate and subordinate conjunctions show little difference in their tonal contours, and the existence of a comma or the lengths of connecting words and phrases do not affect Korean speakers' production of the H- phrasal tone and the H% boundary tone. This may suggest that pitch accents, rather than edge tones, should be put more focus on in teaching English intonation in Korea as much work has already shown that Korean speakers have serious problem with producing pitch accents in speaking English.