• Journal of the Korean Mathematical Society
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• v.37 no.1
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• pp.45-53
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• 2000

Existence of a unique invariant probability is considered for a class of Markov processes which may not be irreducible and a functional central limit theorem for a class of nonlinear irreducible uniformly ergodic processes is derived as well.

• Communications of the Korean Mathematical Society
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• v.12 no.4
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• pp.1033-1038
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• 1997

A functional central limit theorem for a class of nonlinear stationary Markov processes which are geometrically Harris ergodic is derived.

• Communications of the Korean Mathematical Society
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• v.11 no.4
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• pp.1117-1122
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• 1996

A class of nonlinear Markov processes on the real line is considered, and a functional central limit theorem is proved for the functions of bounded variation on the real line by identifying a broad subset of the range of the generator.

• The korean journal of orthodontics
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• v.52 no.6
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• pp.432-438
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• 2022

Objective: To compare crown-root angulations of the permanent maxillary anterior teeth in skeletal Class I, Class II, and Class III Korean malocclusion patients using cone-bean computed tomography (CBCT) images. Methods: Sixty CBCT images were collected from orthodontic patients archive based on skeletal Class I (0˚< A point-nasion-B point angle [ANB] < 4˚), Class II (ANB ≥ 4˚), and Class III (ANB ≤ 0˚) to have 20 samples in each group. Mesiodistal crown-root angulation (MDCRA) and labiolingual crown-root angulation (LLCRA) were evaluated after orientation of images. Crown-root angulations were compared among Class I, Class II, and Class III groups and among the maxillary anterior teeth in each group. Results: LLCRAs of the maxillary central incisor and the lateral incisor were significantly lower in Class III group than those in Class I group. However, those of the canine showed no significant differences among groups. MDCRAs of the maxillary anterior teeth did not significantly differ among groups either. Conclusions: Our results suggest that skeletal Class III malocclusion might affect LLCRA of the maxillary incisors, especially the central incisor.

• Kyungpook Mathematical Journal
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• v.51 no.3
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• pp.283-291
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• 2011

In this paper, a generalization of the class of semicommutative rings is investigated. A ring R is called central semicommutative if for any a, b ${\in}$ R, ab = 0 implies arb is a central element of R for each r ${\in}$ R. We prove that some results on semicommutative rings can be extended to central semicommutative rings for this general settings.

• The Mathematical Education
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• v.40 no.2
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• pp.345-350
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• 2001

This study suggested a teaching method to improve intuitive understanding of the statistical basic concepts about the central limit theorem with experiment. It is very hard to understand about the concept of the central limit theorem in the school mathematics class. The result of this study experiment for the class of statistics education shows that the students and mathematics teachers were interesting at this experiment. They corrected their misunderstanding about the central limit theorem by discussion for the result of experiment with team members. I think that this study can help teachers to teach the students using the experiment method.

• The korean journal of orthodontics
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• v.15 no.1
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• pp.75-84
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• 1985

By observing the correlationships between the characteristics of the facial pattern and the methods of establishing the position of the lower central incisor to the five reference lines on the lateral roentgenocephalograms, the author tried to find the most useful method of them, the criteria of which were the independence of a variation according to facial patterns, the close relationships with soft tissue and lip balance, and the simple and consistent usefulness in clinical practice. The subject consisted of forty normal occlusions, forty class II div I malocclusions, forty class III malocclusions, ten treated claas II div 1 cases and ten treated class III cases, all were in 14-17 yrs of age. The findings of this study are as follows: 1. The position of the lower central incisor to EP, OP, MP and NB showed variations according to ANB, FMA, facial convexity and Holdaway angle. 2. The position of the lower central incise. to AP line (A-Pog) was not co..elated with ANB, FMA, facial convexity and Holdaway angle, so it can be used consistently, regardlesss of the facial pattern. 9. The lineal position of the incisal edge of the lower central incisor to AP line has a profound influence on harmonious soft tissue and lip balance.

• Journal of the Korean Society of Physical Medicine
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• v.7 no.4
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• pp.451-458
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• 2012

PURPOSE: The purpose of present study was to determine effects of circuit class training (CCT) on the synthesis of central serotonin in people with post-stroke depression. METHODS: Forty patients with mild post-stroke depression were participated in current study. All subjects were assigned to two groups of CCT (circuit class training) group and SW (stretching and weight shifting) group. Both groups were performed for 80 minutes. The change of blood f-Trp, BCAAs, f-Trp/BCAAs and serotonin according to period training time were examined and the following results were obtained. RESULTS: In the CCT group, f-Trp, BCAAs, and f-Trp/BCAAs increased according to the time point. However, after 24 hour of circuit class training, all of these were significantly decreased by those before training. The change in blood levels of serotonin was the highest in immediately after the training in the CCT group while it was not changed significantly in the SW group. CONCLUSION: It can be seen that CCT can change the serotonin level and have an effect on the synthesis of central serotonin in people with post-stroke depression.

• International Journal of Reliability and Applications
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• v.5 no.4
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• pp.155-162
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• 2004

A new class of life distributions is studied. This class is defined based on comparing the residual life to the whole life in the moment generating function order giving "the new better than used in the moment generating function order ageing class ($NBU_{mgf}$)". Some new results of this class are given including some closere properties and characterizations. Finally testing exponentially against the $NBU_{mgf}$ class is also addressed.

• Journal of Agricultural Extension & Community Development
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• v.30 no.2
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• pp.103-118
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• 2023

This study aims to develop the living SOC function index and classified classes using the GIS-based spatial analysis method by applying the "Central Place Theory" as basic data for classifying living areas necessary for establishing rural spatial strategies in Boryeong. Boryeong-si is classified as a southern living area in the northern living area, centering on Daecheon-dong, the first class, and it is analyzed that living services such as used car service procurement and education are needed, and the southern living area needs a mid- and high-vehicle service delivery system in Ungcheon-eup. It is believed that this study can provide important clues to the classification of central functional facilities suitable for rural centers, reinforcement of vulnerable functional facilities by living area, and provision of living services.