• Journal of applied mathematics & informatics
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• v.42 no.1
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• pp.1-14
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• 2024

Let G = (V, E) be a (p, q) graph. Define $$\begin{cases}\frac{p}{2},\:if\:p\:is\:even\\\frac{p-1}{2},\:if\:p\:is\:odd\end{cases}$$ and L = {±1, ±2, ±3, ···, ±ρ} called the set of labels. Consider a mapping f : V → L by assigning different labels in L to the different elements of V when p is even and different labels in L to p - 1 elements of V and repeating a label for the remaining one vertex when p is odd.The labeling as defined above is said to be a pair difference cordial labeling if for each edge uv of G there exists a labeling |f(u) - f(v)| such that |Δ_f1 - Δ_f^c1| ≤ 1, where Δ_f1 and Δ_f^c1 respectively denote the number of edges labeled with 1 and number of edges not labeled with 1. A graph G for which there exists a pair difference cordial labeling is called a pair difference cordial graph. In this paper we investigate the pair difference cordial labeling behavior of subdivision of some graphs.

• Bulletin of the Korean Mathematical Society
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• v.20 no.1
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• pp.45-49
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• 1983

If R is ring and M is a right (or left) R-module, then M is called a faithful R-module if, for some a in R, x.a=0 for all x.mem.M then a=0. In [4], R.E. Johnson defines that M is a prime module if every non-zero submodule of M is faithful. Let us define that M is of prime type provided that M is faithful if and only if every non-zero submodule is faithful. We call a right (left) ideal I of R is of prime type if R/I is of prime type as a R-module. This is equivalent to the condition that if xRy.subeq.I then either x.mem.I ro y.mem.I (see [5:3:1]). It is easy to see that in case R is a commutative ring then a right or left ideal of a prime type is just a prime ideal. We have defined in [5], that a chain of right ideals of prime type in a ring R is a finite strictly increasing sequence I$_{0}$.contnd.I$_{1}$.contnd....contnd.I$_{n}$; the length of the chain is n. By the right dimension of a ring R, which is denoted by dim, R, we mean the supremum of the length of all chains of right ideals of prime type in R. It is an integer .geq.0 or .inf.. The left dimension of R, which is denoted by dim$_{l}$ R is similarly defined. It was shown in [5], that dim$_{r}$R=0 if and only if dim$_{l}$ R=0 if and only if R modulo the prime radical is a strongly regular ring. By "a strongly regular ring", we mean that for every a in R there is x in R such that axa=a=a$^{2}$x. It was also shown that R is a simple ring if and only if every right ideal is of prime type if and only if every left ideal is of prime type. In case, R is a (right or left) primitive ring then dim$_{r}$R=n if and only if dim$_{l}$ R=n if and only if R.iden.D$_{n+1}$ , n+1 by n+1 matrix ring on a division ring D. in this paper, we establish the following results: (1) If R is prime ring and dim$_{r}$R=n then either R is a righe Ore domain such that every non-zero right ideal of a prime type contains a non-zero minimal prime ideal or the classical ring of ritght quotients is isomorphic to m*m matrix ring over a division ring where m.leq.n+1. (b) If R is prime ring and dim$_{r}$R=n then dim$_{l}$ R=n if dim$_{l}$ R=n if dim$_{l}$ R<.inf. (c) Let R be a principal right and left ideal domain. If dim$_{r}$R=1 then R is an unique factorization domain.TEX>R=1 then R is an unique factorization domain.

• The Korean Journal of Nuclear Medicine Technology
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• v.14 no.2
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• pp.186-189
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• 2010

Purpose: As many patients often showed the value of menopause although they were women of childbearing age, this study looked into their previous history. According to the findings, they were patients with a mastectomy due to breast cancer and were taking breast cancer treatment Tamoxifen (the women hormone inhibitor) after chemotherapy. This study is conducted to examine changes in FSH and E2 concentration of patients breast cancer patients of childbearing age according to Tamoxifen used to prevent recurrence of breast cancer and proliferation of mammary parenchyma. Materials and Methods: This study aims to investigate similarity in patients treated with surgery who were in their childbearing age and in values of FSH and E2 by dividing test results of FSH and E2 requested at the department of nuclear medicine among patients who visited this hospital from Jan. 2009 to Mar. 2010 into women of childbearing age (n=50), menopausal women (n=50), and patients with breast cancer surgery who take Tamoxifen (n=50) and then comparing the test results. Results: The FSH and E2 test results of 50 patients were compared and analyzed as average${\pm}$standard deviation, and the results showed that the figure of women of childbearingage (n=50) was FSH : $7.14{\pm}6.19$, E2 : $138.76{\pm}85.40$, that of menopausal women (n=50) was FSH : $52.12{\pm}24.43$, E2 : $15.06{\pm}4.43$, and that of patients with breast cancer surgery who were in their childbearing age (n=50) was FSH : $44.21{\pm}21.07$, E2 : $13.53{\pm}4.26$. When these different results of FSH and E2 were compared, the value of patients with breast cancer surgery who were in their childbearing age with Tamoxifen was somewhat similar to that of menopausal women. Conclusion: The test results of FSH and E2 have reportedly found the test values of patients with breast cancer surgery could be similar to that of menopausal women eventhough they were in their childbearing age due to the women hormone inhibitor Tamoxifen. Therefore, if a tester conducts this experiment after understanding the clinical meaning, the reliability of the tester reporting test results would be increased.

• International Journal of High-Rise Buildings
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• v.2 no.2
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• pp.141-152
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• 2013

This paper presents a brief overview of the recently developed performance-control method of moment frame design subjected to monotonously increasing lateral loading. The final product of any elastic-plastic analysis is a nonlinear loaddisplacement diagram associated with a progressive failure mechanism, which may or may not be as desirable as expected. Analytically derived failure mechanisms may include such undesirable features as soft story failure, partial failure modes, overcollapse, etc. The problem is compounded if any kind of performance control, e.g., drift optimization, material savings or integrity assessment is also involved. However, there is no reason why the process can not be reversed by first selecting a desirable collapse mechanism, then working backwards to select members that would lead to the desired outcome. This article provides an overview of the newly developed Performance control methodology of design for lateral resisting frameworks with a view towards integrity control and prevention of premature failure due to propagation of plasticity and progressive P-delta effects.

• Journal of the Korean institute of surface engineering
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• v.51 no.3
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• pp.157-163
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• 2018

The anodic $TiO_2$ layers which are prepared in various anodization conditions exhibit their specific color depending on the thickness of $TiO_2$. In this study, the relationship between the color of $TiO_2$ layer, which is grown by PEO (Plasma electrolytic oxidation), and the thickness of the $TiO_2$ layer is investigated. To evaluate the color change of the $TiO_2$ layer, the value of color ($dE^*ab$) is measured and calculated by spectrophotometer and chromameter. As a result, it is found that $dE^*ab$ values and thickness of $TiO_2$ layers form a linear relationship with meaningful formular. This formula can be helpful to quantify the thickness of the $TiO_2$ layer by the numerical $dE^*ab$ values. In this process, the spectrophotometer shows more precise results than the chromameter dose. If fluoride ions ($F^-$) are included in the electrolyte, it will affect the $dE^*ab$ values of the $TiO_2$. layer. This is against the propensity, which is analyzed by XRD (X-ray diffraction) and XPS (X-ray photoelectron spectroscopy). It is important that the formular suggested in this study provides other metals which can be also anodized with the possibility of quantifying the thickness of the $TiO_2$ layer by the $dE^*ab$ values.

• Journal of Korea Technology Innovation Society
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• v.16 no.2
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• pp.424-443
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• 2013

National Research Foundation of Korea (NRF) provides underpinning to boost international and domestic competitiveness in basic science and engineering (S&E) research. In 2012, NRF came up with the idea about implementing koreanized grant funding system and a NRF grant funding mechanism on basic research was applied to General Researcher program. The main components of the mechanism are 1) no final evaluation, instead intensive evaluation for next proposal submission, 2) no paper account report, instead reporting it online, 3) no lengthy final report, instead unloading a brief overview of research achievements. For successful establishment of the NRF grant funding mechanism, the quality and quantity-based quantitative guidelines of research achievement for various research areas are essential. In this study, we suggest 3 quantitative indexes and these quantitative guidelines provides a supplementary tool for researcher's capability review. These guidelines will be also useful to elevate the reliability and objectivity of peer review.

• Korean Journal of Human Ecology
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• v.18 no.2
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• pp.501-507
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• 2009

Atopic dermatitis is one of the most common skin disease in children and a characteristic chronically recurrent form of dermatitis with a hereditary tendency, affecting infants and may extend to the childhood or th the adult age. Environmental factors, stress, and foodstuffs such as milk, egg may cause atopic dermatitis. Nc/Nga mice were used as an animal model for human atopic dermatitis. The divided by 4group such as normal group, BMAC group, FK506 group, MR group for this study raised in conventional conditions. To investigate effect of Chamomile German on atopic dermatitis in NC/Nga mice, the serum IgE and IgG1 level were measured while the severity degree of the skin lesion was examined by the naked eyes of two volunteers who were unaware of the treatment status. The results were the followings. 1. The score on the severity degree of skin dermatitis in FK 506 and MR group was lower than that in control group. 2. The serum IgE level in control group was higher 25% than that in normal group. 3. The serum level of IgE in FK506 and MR group compares to control group was decreased. 4. The serum IgG1 level was decreased more than 3.5 times in FK506 compared to control group while MR group had significantly less the serum IgG1 than control group. From the above results, treatment of Chamomile German oil had the effect on atopic dermatitis in NC/Nga mice. If scientific researches on aroma oil are performed in various way, aroma oil will be used to cure skin dermatitis as a alternative therapy in the future.

• The Journal of Society for e-Business Studies
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• v.8 no.3
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• pp.37-52
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• 2003

ISO 13584 Parts Library (PLIB) standard is making its way into e-business as a norm for classifying products and their characteristics. PLIB is a multi-parts standard, and the Part 42: Methodology for structuring Parts families Provides the information model and design Principles for the data dictionary of parts library or e-catalog. If e-catalog systems are built using a data dictionary that is constructed based on PLIB dictionary data model, many different e-catalog systems can be easily integrated and interoperated. This paper studies the roles and requirements of the data dictionary in e-catalog, and applies the data model and design principles of PLIB Part 42 to construct a data dictionary from the viewpoint of ontology Based on the analysis results, we propose a data dictionary of die and mold parts, and implementat the B2B e-catalog system.

• Journal of Periodontal and Implant Science
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• v.29 no.3
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• pp.553-560
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• 1999

The aim of the present study was to evaluate the effect of the expanded polytetrafluoroethylene (e-PTFE) membrane exposure on the initial healing of the periodontal tissue in guided tissue regeneration (GTR) procedure. 90 sites selected from 90 patients were treated with gingival flap surgery supported by an e-PTFE membrane. The material included angular bony defects with probing attachment loss of > 5mm or degree II furcation involvement. Treated sites were classified with membrane exposure group and non-exposure group at membrane removal and evaluated healing type. The results were obtained as follows. 1. e-PTFE membrane was exposed at 61 sites (67.8%) among 90 sites. 2. Thirteen sites (14.4%) depicted rapid healing type, 65 sites (72.2%) depicted typical healing type, 9 sites (10%) showed delayed healing type and 3 sites (3.3%) were categorized as adversed healing type. 3. In e-PTFE membrane exposure group, 1 site (1.6%), 51 sites (83.6%), 6 sites (9.8%) and 3 sites (4.9%) showed rapid healing type, typical healing type, delayed healing type and adverse healing type respectively. 4. In e-PTFE membrane non-exposure group, 12 sites (41.3%), 14 sites (48.3%) and 3 sites (10.3%) showed rapid healing type, typical healing type and delayed healing type respectively. Adverse healing type was not observed. 5. The rate of favourable healing between e-PTFE membrane exposure group and non-exposure group was not statistically significant(p=0.56). These results suggest that the prevention of membrane exposure may be important to obtain rapid healing type. However favourable healing could be obtained with stringent infection control program even if membrane was exposed.

• Journal of the Korean Magnetics Society
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• v.16 no.2
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• pp.115-120
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• 2006

Electronic and magnetic structure of $Cr_2Te_3$ have been studied, which is a material with complex magnetic structure. Density of states and magnetic moments show better agreement with experiments than LDA if they are obtained with the correlation effect of Cr-d electrons taken into account by the LDA+U method. In these calculations, the magnitude of the correlation effect is found to be 1.7 eV. It is shown that the magnitude of experimental magnetic moments of Cr atoms can be explained if the ferromagnetic states and the ferrimagnetic states have the same energy to be degenerate.