• Kyungpook Mathematical Journal
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• v.53 no.2
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• pp.233-245
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• 2013

Let $\mathcal{A}$ be a Banach ternary algebra over a scalar field R or C and $\mathcal{X}$ be a ternary Banach $\mathcal{A}$-module. A quartic mapping $D\;:\;(\mathcal{A},[\;]_{\mathcal{A}}){\rightarrow}(\mathcal{X},[\;]_{\mathcal{X}})$ is called a $4^{th}$- order ternary derivation if $D([x,y,z])=[D(x),y^4,z^4]+[x^4,D(y),z^4]+[x^4,y^4,D(z)]$ for all $x,y,z{\in}\mathcal{A}$. In this paper, we prove Ulam stability generalizations of $4^{th}$- order ternary derivations associated to the following JMRassias quartic functional equation on fr$\acute{e}$che algebras: $$f(kx+y)+f(kx-y)=k^2[f(x+y)+f(x-y)]+2k^2(k^2-1)f(x)-2(k^2-1)f(y)$$.

• Journal of the Korean Society for Marine Environment & Energy
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• v.20 no.1
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• pp.18-25
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• 2017

Damage of both life and property has been increased by natural disaster under the influence of climate change, thus many natural disaster vulnerability researches have been carried out to make adaptation policy and impact assessment of climate change recently. Their method for assessing vulnerability usually have used proxy variables for making vulnerability indices. However, because their results were too qualitative and relative it tends to be hard to make absolute comparison and establish standard of prevention or adaptation ability. Accordingly, this study aimed at quantifying natural disaster vulnerability using emergy through recognizing disaster as the relations between order and disorder by system approach. As a result, ordering energy (4.66E+22 sej/yr) and ordered structure (1.98E+22 sej) of Busan in 2003 and disordering energy (7.80E+18 sej), disordered parts (4.55E+20 sej) and rebuilding energy (3.87E+20 sej) by typhoon Maemi were analysed. And then, this was compared with Hurricane Andrew in Dade County. Through this comparison, if the prevention ability of Busan increases, disordered parts can be reduced against the more powerful disordering energy. Also, prevention for additional damages by disaster is needed to practical rebuilding action. In conclusion, it was able to figure out the impact of disaster quantitatively by natural systems and urban systems showing as common measure. Based on this study and further research to make effective prevention for how much prevention ability should be increased will contribute to producing the scientific data for disaster management policy in future.

• Journal of Korean Society of Forest Science
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• v.106 no.4
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• pp.417-423
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• 2017

To provide a ecological restoration strategy considering genetic diversity of Abies koreana in Mt. Jiri, the genetic diversity and the genetic differentiation among sub-populations such as Banyabong, Byeoksoryeong, and Cheonwangbong were investigated. The average number of alleles (A) was 7.8, the average number of effective alleles ($A_e$) was 4.9, observed heterozygosity ($H_o$) was 0.578, and expected heterozygosity ($H_e$) was 0.672, respectively. The level of genetic diversity within sub-populations ($H_e=0.672$) was lower than those of both population ($H_e=0.778$) and species ($H_e=0.759$) level. However, the level of genetic diversity was high compared those of Genus Abies. Genetic differentiation was 0.014 from F-statistics ($F_{ST}$) and was 0.004 from AMOVA analysis (${\Phi}_{ST}$). There was no almost genetic differentiation among sub-populations in Mt. Jiri from bayesian clustering. Therefore, If the seeds are sampled sufficiently by selecting the parameters from three sub-populations, it is possible that we could obtain genetically appropriate materials for ecological restoration.

• Journal of Sasang Constitutional Medicine
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• v.9 no.2
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• pp.245-261
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• 1997

The investigation were carried out the 37 patient with cerebrovascular accidents who had been treated in Oriental Medical Hospital in Kyung Hee University and in KangNam Uy Lim, and the 10 examinees who had been worked in Medical Hospital in Kyung Hee University. The consitution which had discriminated by survey, which had discriminated by study on the morphological diagrammings, which had discriminated by the result of the impatient of hospital on a dosage of constitutial prescription. The Prostaglandin E2 in blood for 47 persons (37 patients & 10 examinees) was measured. The following results were obtained. 1.In the constitution which had discriminated by survey, in the value of Prostaglandin E2 in bood of ammong four constitutiens didn,t showed significant differance. 2.In the constitution which had discriminated by study on the morphological diagrammings, in the value of Prostaglandin E2 in bood of ammong four constitutiens didn,t showed significant differance. 3.In the constitution which had discriminated by the result of patient of hospital on a dosage of constitutial prescription, the value of Prostaglandin E2 in blood of among four constitutions didn,nt showed signicant differance. 4.In the constitution which had discriminated by colligated three methods(survey, morphological diagrammings,the result of patient of hospital on a dosage of constitutial prescription), the value of Prostaglandin E2 in blood of ammong four constituion didn,t showed significant differnce. 5.In the constitution which had discriminated by survey, a test of significance between the value of Prostaglandin E2 in blood of each constitution and the value of Prostaglandin E2 in blood of the others was conducted. Only the value of Prostaglandin E2 in blood between in the TAE-EUM-IN(太陰人) and the others of female showed significant differance. 6.In the constitution which had discriminated by study on the morphological diagrammings,a test of significance between the value of Prostaglandin E2 in blood of each constitution and the value of Prostaglandin E2 in blood of the others was conducted. Only the value of Prostaglandin E2 in blood between in the SO-EUM-IN(少陰人) and the others of male showed significant differance. 7.In the constitution whichhad discriminated by the result of patient of hospital on a dosage of constitutial prescription,a test of significance between the value of Prostaglandin E2 in blood of each constitution and the value of Prostaglandin E2 in blood of the others was conducted. Only the value of Prostaglandin E2 in blood between in the TAE-EUM-IN(太陰人) and the others of male showed significant differance. 8.In the constitution which had discriminated was the colligated three methods(survey,morphological diagrammings,the result of patient of hospital on a dosage of constitutial prescription),a test of significance between the value of Prostaglandin E2 in blood of each constitution and the value of Prostaglandin E2 in blood of the others didn,t showed significant differnce. In this connected study is inadequete at present. But if the study is done persistently,the analysis of various ingredient in the body enables objectification in differentiation of four types of physical constitution as the supplemental method.

• Bulletin of the Korean Mathematical Society
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• v.38 no.2
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• pp.347-355
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• 2001

Let ($X, \omega$) be a closed symplectic 4-manifold. Let a finite cyclic group G act semifreely, holomorphically on X as isometries with fixed point set $\Sigma$(may be empty) which is a 2-dimension submanifold. Then there is a smooth structure on the quotient X'=X/G such that the projection $\pi$:X$\rightarrow$X' is a Lipschitz map. Let L$\rightarrow$X be the Spin$^c$ -structure on X pulled back from a Spin$^c$-structure L'$\rightarrow$X' and b_2^$+(X')>1. If the Seiberg-Witten invariant SW(L')$\neq$0 of L' is non-zero and $L=E\bigotimesK^-1\bigotimesE$ then there is a G-invariant pseudo-holomorphic curve u:$C\rightarrowX$,/TEX> such that the image u(C) represents the fundamental class of the Poincare dual $c_1$(E). This is an equivariant version of the Taubes' Theorem.

• Journal of the Korean Mathematical Society
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• v.51 no.5
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• pp.919-940
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• 2014

We conjecture that if $k{\geq}2$ is an integer and G is a graph of order n with minimum degree at least (n+2k)/2, then for any k independent edges $e_1$, ${\cdots}$, $e_k$ in G and for any integer partition $n=n_1+{\cdots}+n_k$ with $n_i{\geq}4(1{\leq}i{\leq}k)$, G has k disjoint cycles $C_1$, ${\cdots}$, $C_k$ of orders $n_1$, ${\cdots}$, $n_k$, respectively, such that $C_i$ passes through $e_i$ for all $1{\leq}i{\leq}k$. We show that this conjecture is true for the case k = 2. The minimum degree condition is sharp in general.

• Bulletin of the Korean Mathematical Society
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• v.45 no.3
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• pp.467-475
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• 2008

The aim of the present paper is three fold. Firstly, we obtain common fixed point theorems for a pair of selfmaps satisfying nonexpansive or Lipschitz type condition by using the notion of pointwise R-weak commutativity but without assuming the completeness of the space or continuity of the mappings involved (Theorem 1, Theorem 2 and Theorem 3). Secondly, we generalize the results obtained in first three theorems for four mappings by replacing the condition of noncompatibility of maps with the property (E.A) and using the R-weak commutativity of type $(A_g)$ (Theorem 4). Thirdly, in Theorem 5, we show that if the aspect of noncompatibility is taken in place of the property (E.A), the maps become discontinuous at their common fixed point. We, thus, provide one more answer to the problem posed by Rhoades [11] regarding the existence of contractive definition which is strong enough to generate fixed point but does not forces the maps to become continuous.

• Journal of the Korean Mathematical Society
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• v.32 no.4
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• pp.739-751
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• 1995

Let ${X(t) : 0 \leq t < \infty}$ be an almost surely continuous Gaussian process with X(0) = 0, E{X(t)} = 0 and stationary increments $E{X(t) - X(s)}^2 = \sigma^2($\mid$t - s$\mid$)$, where $\sigma(y)$ is a function of $y \geq 0(e.g., if {X(t);0 \leq t < \infty}$ is a standard Wiener process, then $\sigma(t) = \sqrt{t})$. Assume that $\sigma(t), t > 0$, is a nondecreasing continuous, regularly varying function at infinity with exponent $\gamma$ for some $0 < \gamma < 1$.

• Parasites, Hosts and Diseases
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• v.50 no.3
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• pp.243-247
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• 2012

Ascaris suum eggs are inactivated by composting conditions; however, it is difficult to find functional changes in heat-treated A. suum eggs. Here, unembryonated A. suum eggs were incubated at $20^{\circ}C$, $50^{\circ}C$, and $70^{\circ}C$ in vitro, and the gene expression levels related to viability, such as eukaryotic translation initiation factor 4E (IF4E), phosphofructokinase 1 (PFK1), and thioredoxin 1 (TRX1), and to apoptosis, such as apoptosis-inducing factor 1 (AIF1) and cell death protein 6 (CDP6), were evaluated by real-time quantitative RT-PCR. No prominent morphological alterations were noted in the eggs at $20^{\circ}C$ until day 10. In contrast, the eggs developed rapidly, and embryonated eggs and hatched larvae began to die, starting on day 2 at $50^{\circ}C$ and day 1 at $70^{\circ}C$. At $20^{\circ}C$, IF4E, PFK1, and TRX1 mRNA expression was significantly increased from days 2-4; however, AIF1 and CDP6 mRNA expression was not changed significantly. IF4E, PFK1, and TRX1 mRNA expression was markedly decreased from day 2 at $50^{\circ}C$ and $70^{\circ}C$, whereas AIF1 and CDP6 mRNA expression was significantly increased. The expressions of HSP70 and HSP90 were detected for 9-10 days at $20^{\circ}C$, for 3-5 days at $50^{\circ}C$, and for 2 days at $70^{\circ}C$. Taken together, incremental heat increases were associated with the rapid development of A. suum eggs, decreased expression of genes related to viability, and earlier expression of apoptosis-related genes, and finally these changes of viability- and apoptosis-related genes of A. suum eggs were associated with survival of the eggs under temperature stress.

• 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.