• Journal of the Korean Mathematical Society
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• v.50 no.2
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• pp.425-444
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• 2013

We construct some hyperbolic hyperelliptic space forms whose fundamental groups are generated by only two or three isometries. Each occurring group is obtained from a supergroup, which is an extended Coxeter group generated by plane re ections and half-turns. Then we describe covering properties and determine the isometry groups of the constructed manifolds. Furthermore, we give an explicit construction of space form of the second smallest volume nonorientable hyperbolic 3-manifold with one cusp.

• Journal of applied mathematics & informatics
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• v.42 no.4
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• pp.969-983
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• 2024

For an integer ℓ ≥ 1, let ${\bar{B}}_{\ell}(n)$ denotes the number of ℓ-regular over partition pairs of n. For certain conditions of ℓ, we study the divisibility of ${\bar{B}}_{\ell}(n)$ and arithmetic properties for ${\bar{B}}_{\ell}(n)$. We further obtain infinite family of congruences modulo 2^t satisfied by ${\bar{B}}_3(n)$ employing a result of Ono and Taguchi (2005) on nilpotency of Hecke operators.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.4 no.1
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• pp.121-131
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• 2000

Melt flow, heat and mass transfer of oxygen have been analyzed numerically in the process of Czochralski single crystal growth of silicon under the influence of misaligned cusp magnetic fields. Since the silicon melt in a crucible for crystal growth is of high temperature and of highly electrical-conducting, experimentation method has difficulty in analyzing the behavior of the melt flow. A set of simultaneous nonlinear equations including Navier-Stokes and Maxwell equations has been used for the modelling of the melt flow which can be regarded as a liquid metal. Together with the melt flow which forms the Marangoni convection, a flow circulation is observed near the comer close both to the crucible wall and the free surface. The melt flow tends to follow the magnetic lines instead of traversing the lines. These flow characteristics helps the flow circulation exist. Mass transfer characteristics influenced by the melt flow has been analyzed and the oxygen absorption rate to the crystal has been calculated and turned out to be rather uniform than in the case of an aligned magnetic field.

• Journal of the Korean Mathematical Society
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• v.52 no.5
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• pp.945-954
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• 2015

Let ${\lambda}_f(n)$ denote the n-th normalized Fourier coefficient of a primitive holomorphic form f for the full modular group ${\Gamma}=SL_2({\mathbb{Z}})$. In this paper, we are concerned with ${\Omega}$-result on the summatory function ${\sum}_{n{\leqslant}x}{\lambda}^2_f(n^2)$, and establish the following result ${\sum}_{\leqslant}{\lambda}^2_f(n^2)=c_1x+{\Omega}(x^{\frac{4}{9}})$, where $c_1$ is a suitable constant.

• The Bulletin of The Korean Astronomical Society
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• v.35 no.1
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• pp.72.1-72.1
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• 2010

Gas materials in the inner Galactic disk continuously migrate toward the Galactic center (GC) due to interactions with the bar potential, magnetic fields, stars, and other gaseous materials. In case of the Milky Way, those in forms of molecules appear to accumulate around 200 pc from the center (the central molecular zone, CMZ) to form stars there and further inside. The bar potential in the GC is thought to be responsible for such acculmulation of molecules and subsequent star formation, which is believed to have been continous throughout the lifetime of the Galaxy. We present 3-D hydrodynamic simulations of the CMZ that consider self-gravity, radiative cooling, and supernova feedback, and discuss the efficiency and role of the star formation in that region. We find that the gas accumulated in the CMZ by a bar potential of the inner bulge effectively turns into stars, supporting the idea that the stellar cusp inside the central 200 pc is a result of the sustained star formation in the CMZ. The obtained star formation rate in the CMZ, 0.03-0.1 Msun, is consistent with the recent estimate based on the mid-infrared observations by Yusef-Zadeh et al. We discuss the secular evolution of nuclear bulges in general, based on our results.

• Journal of the Korean Crystal Growth and Crystal Technology
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• v.10 no.3
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• pp.177-184
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• 2000

The effect of the buyancy and thermocapillarity for differnent aspect ratio of flow field on melt motion and mass transfer has been numerically investigated in magnetic Czochralski crystal growth of silicon. During the process of crystal growth, the melt depth of crucible reduces so the aspect ratio of flow field also reduces. Therefore the shape of magnetic field of the flow field changes and the flow pattern also changes significantly. Together with the melt flow which forms the Marangoni convection (or thermocapillary flow) that comes from the inside the flow field, a flow circulation is observed near the corner close both to the crucible wall and the free surface. Due to this circulation, buoyancy effect has been turned out to be local rather than global. As the aspect ratio decreases, the radial component of the magnetic field prevails compared with the axial component in the flow field. Under the influence of this magnetic field, the melt flow and the temperature distribution in a meridional plane tend to depend on the radial position. As the aspect ratio decreases, the temperature gradient near the edge of the crystal decreases yielding smaller thermocapillarity, and the oxygen concentration near the crystal and the oxygen incorporation rate also decrease.

• The Journal of Korean Academy of Prosthodontics
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• v.32 no.3
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• pp.431-443
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• 1994

As the dental arch is the curve connecting the cusp tip of tooth, the dental arch form, composing of the occlusion, is one the important factors of occlusal reconstruction. Many studies about the horizontal dental arch form have been reported, but until now, it is unclear to infer the position of the teeth in dental arch form, to evaluate the effect of the horizontal dental arch form on chewing movement. The purpose of this study is to make objective criteria to infer the position of the teeth in dental arch. In this study, 100 subjects with individdual normal occlusion were evaluated. By multiple regression analysis on the basis of the relation of the canine and the first molar, the positions of teeth in dental arch were inferred. According to buccolingual relationship of maxillary to mandibular posterior teeth, the dental arch forms were classified into five groups, i, e. the normal group, the group which the maxillary second molar positions buccal side, the group which the maxillary premolars position buccal side, the group which the maxillary premolar position lingual side. From the results, objective criterial to infer the positons of the first premolar, the second premolar, the second molar in dental arch were made.

• Journal of the Korea Society of Computer and Information
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• v.10 no.4 s.36
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• pp.385-396
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• 2005

In this paper, a new structural approach to on-line signature verification is presented. A primitive pattern is defined as a part segmented by a local minimal position of speed. And a structural description of signature is composed of subpatterns which are defined as such forms as rotation shape, cusp shape and bell shape, acquired by composition of the primitives regarding the directional changes. As the matching method to find identical parts between two signatures, a modified DP(dynamic programming) matching algorithm is presented. And also, variation and complexity of local parts are computed from the training samples, and reference model and decision boundary are derived from these. Error rate, execution time and memory usage are compared among the functional approach, the parametric approach and the proposed structural approach. It is found that the average error rate can be reduced from 14.2% to 4.05% when the local parts of a signature are weighted and the complexity is used as a factor of decision threshold. Though the error rate is similar to that of functional approaches. time consumption and memory usage of the proposed structural approach are shown to be very effective.

• Journal of Korean Academy of Oral and Maxillofacial Radiology
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• v.11 no.1
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• pp.59-66
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• 1981

The dens evaginatus was a developmental variation which has arisen as a result of an evagination of inner enamel epithelium into the enamel organ. It has been given various. names by authors and was thought to be confined to Mongolian race. This study was performed to observe the incidence of dens evaginatus, and its ill-effects on the teeth and surrounding structures in 6356 Korean students and 10227 Korean adults. In plaster model, analysis was performed in accordance with forms and location of dens evaginatus on the. occlusal surface in the premolars. The pathologic changes caused by dens evaginatus were observed in paralleling periapical radiograms The results were as follows: 1. The prevalence of dens evaginatus in the student's group was 2.6%, and showed no sex predilection in the occurrence of evaginated teeth. 2. The sequence of dens evaginatus was in order of mandibular 2nd premolar, mandibular 1st premolar, maxillary 2nd premolar, and maxillary 1st premolar, respectively. 3. Of the cases with dens evaginatus, 73.5 % occured bilaterally. 4. The nipple form was the most frequent in respect of elevation of tubercle on the, occlusal surface. 5. In the base form of the tubercle, the occurrence of grooved form was the highest. 6. In the maxilla, those cases which the tubercle arose from the lingual ridge of the buccal cusp were most predominant. And in the mandible, those cases which the tubercle arose from the center of the occlusal surface were the most frequent. 7. The pulpal and periapical complications were shown in 24.4% of evaginated teeth in. periapical radiogram.

• Journal of Technologic Dentistry
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• v.11 no.1
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• pp.115-120
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• 1989

Many attempts for the compfrt, esthetics and improvement of Masticatory function of the patients with removable prosthesis have been made for several decades. The search for the ideal denture occlusion has been going on in an effort to find the tooth form which provides maximum denture stability and masticatory efficiency without damaging the health of the underlying bone. For the purpose, the basic concept of lingualized occlusion were suggested by payne(1941) and pound(1973) discussed a similar occlusal concept and used term " lingualized occlusion." The purpose of this literature study is to clarify and amplify a method to achieve bilateral balanced occlusion with the occlusal arrangement termed " lingualized occlusion." Lingualized occlusion can be achieved by use of anatomic teeth for the mandibular denture. Lingualized occlusion can be used in most denture combination. It is particulary helpful when the patient places high priority on esthetics but a nonanatomic occlusal scheme is indicated by oral conditions such a severe alveolar resorption, a class II jaw relationship or displaceable supporting tissue. Advantages of lingualized occlusion are summarized as follows : 1) Most of the advantages attributed to both the anatomic and nonanatomic forms are retained. 2) Cusp form is more natural in appearance compare to nonanatomic tooth form. 3) Good pnetration of the food bolus is possible. 4) Bilateral mechanical balanced occlusion is readily obtained for a region around arotric relation. 5) Bertical forces are centralized on the mandibular teeth. Lingualized occlusion provides a useful combination of several occlusal concept. Many. advantages of anatomic and nonanatomic occlusions are accomplished but the lingualized occlusal concept is not is not a panacea, and all other procedures still must be carefully excuted.