• Journal of applied mathematics & informatics
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• v.6 no.3
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• pp.851-858
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• 1999

A new problem of the theory of finite automata (Rabin-Scott's automata) is considered. So called basis automaton for the given regular language l is defined. this automaton is unique for the given L, it is defined by two au-tomata of canonical form: for L and for its inverse language LR. Some properties of basis automata are considered. Such properties make these automata most convenient for using in some special tasks dealing with the given regular language.

• Nonlinear Functional Analysis and Applications
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• v.29 no.3
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• pp.913-927
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• 2024

In this paper, we represent regular functions on ternary theory in the view of quaternion. By expressing quaternions using ternary number theory, a new form of regular function, called E-regular, is defined. From the defined regular function, we investigate the properties of the appropriate hyper-conjugate harmonic functions and corresponding Cauchy-Riemann equations by pseudo-complex forms.

• Journal of the Chungcheong Mathematical Society
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• v.8 no.1
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• pp.119-130
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• 1995

I study the extension of the definition of the analytic operator-valued Feynman integral to potentials given by a class of signed measures described in terms of additive functionals associated with regular Dirichlet forms.

• Journal of the Korean Society of Fisheries and Ocean Technology
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• v.39 no.4
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• pp.298-304
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• 2003

In this paper a free-form hull design program and performance prediction program for planing boat is introduced. This program enables the designer to do complex geometric hull shape design on a personal computer and accurately to predict power requirements for a given loading and velocity. For a free form design, Bezier curve model is adopted as a basic representation tool of curves and surfaces, and this program has versatile functions to do fairing jobs with a convenient graphical user interface. After creating a hull form the geometric data is provided in a manner compatible with a variety of analysis tools including 'Motion Analysis(by Zarnick)' for prediction of motion characteristics in regular waves, 'Running Attitude (by Savitsky)' for prediction of the running attitude and required power.

• Journal of the Chungcheong Mathematical Society
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• v.32 no.1
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• pp.87-95
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• 2019

The homothety classes of lattices in a two dimensional vector space over a nonarchimedean local field form a regular tree ${\mathcal{T}}$ of degree q + 1 on which the projective linear group acts naturally where q is the order of the residue field. We show that for any finite regular combinatorial graph of even degree q + 1, there exists a torsion free discrete subgroup ${\Gamma}$ of the projective linear group such that ${\mathcal{T}}/{\Gamma}$ is isomorphic to the graph.

• Proceedings of the KSPS conference
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• 2006.05a
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• pp.113-116
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• 2006

This research was investigate to understand how moderate bilingual subjects represent the lexicon in second language. Although most researches have focused only on high proficient bilinguals, we analysed how moderate bilinguals who have learned English mostly in school represent the prototype of verb and its inflected form of verb. Results of lexical decision task showed that moderate bilingual subjects used different mental representation depending on whether the verb have regular or irregular conjugation. With regular verbs, the identification of an inflected form was affected by both the frequency of its prototype and that of inflected form, but with irregular verbs, it is affected only by the frequency of inflected form.

• Bulletin of the Society of Naval Architects of Korea
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• v.11 no.1
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• pp.1-8
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• 1974

Hydrodynamic forces and moments produced by the swaying oscillation on the free surface were exactly calculated by Ursell-Tasai method for the cylinders with Kim's chine form sections and the sway responses of the cylinders of those chine form sections among the regular beam sea were also calculated. The results of the computation were compared with those of Lewis form sections. It is concluded that the effects of the section form on the added mass, and damping are small, if the section forms had same beam-draft ratio and sectional area coefficient in the case of sway motion. It is also known that the above little effects of section shapes on the basic hydrodynamic forces do not effect on the sway motion responses of cylinderical bodies among the regular beam sea. The sway motion responses of cylinderical bodies are varied linearly with the wave numbers.

• The Pure and Applied Mathematics
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• v.3 no.1
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• pp.67-71
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• 1996

We will show how bilinear form $\varepsilon_{\mu}$ related with some smooth measures can be extended to the $L^2$(\mathbb{R}^n,\mathbb {C})$ setting.

• Journal of Environmental Science International
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• v.17 no.12
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• pp.1315-1324
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• 2008

This study was investigated on the consciousness of middle school students in Jeju city about the environmental education through questionnaire, in order to understand the actual conditions of environmental education and to find out the solutions about them. Middle 'school students responded that environmental education in school was taken at the class for the special activity or voluntary service, not in regular class and was worked as in the form of the field trip. They generally obtain the knowledge and informations on the environmental problems from mass media such as TV, radio and newspaper than from regular environment class in school. And 36.0% of students perceive that environmental education is needed as a regular class and 31.3% of students perceive that the regular class in school is effective to the environmental education. These results suggest that many students are interested in the regular environment class in school. However, the most of students responded that the regular environment class in school is not worked or is not worked at all, suggesting that the environmental education in middle school is not worked effectively. Most of students prefer to take the environment class in the form of observation or field trip, and they think that observation or field trip is more effective to obtain environmental informations. In conclusion, the special activity such as observation or field trip needs to be supplemented to regular environment class in order to improve the environmental education in middle school more effectively.

• Journal of applied mathematics & informatics
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• v.18 no.1_2
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• pp.145-158
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• 2005

We formulate a stochastic control problem on proportional reinsurance that includes impulse and regular control strategies. For the first time we combine impulse control with regular control, and derive the expected total discount pay-out (return function) from present to bankruptcy. By relying on both stochastic calculus and the classical theory of impulse and regular controls, we state a set of sufficient conditions for its solution in terms of optimal return function. Moreover, we also derive its explicit form and corresponding impulse and regular control strategies.