• 대한수학회보
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• 제59권5호
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• pp.1305-1315
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• 2022

Let u be a function on a connected finite graph G = (V, E). We consider the mean field equation (1) $-{\Delta}u={\rho}\({\frac{he^u}{\int_Vhe^ud{\mu}}}-{\frac{1}{{\mid}V{\mid}}}\),$ where ∆ is 𝜇-Laplacian on the graph, 𝜌 ∈ ℝ\{0}, h : V → ℝ⁺ is a function satisfying min_x∈V h(x) > 0. Following Sun and Wang [15], we use the method of Brouwer degree to prove the existence of solutions to the mean field equation (1). Firstly, we prove the compactness result and conclude that every solution to the equation (1) is uniformly bounded. Then the Brouwer degree can be well defined. Secondly, we calculate the Brouwer degree for the equation (1), say $$d_{{\rho},h}=\{{-1,\;{\rho}>0, \atop 1,\;{\rho}<0.}$$ Consequently, the equation (1) has at least one solution due to the Brouwer degree d_𝜌,h ≠ 0.

• 한국세라믹학회:학술대회논문집
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• 한국세라믹학회 2003년도 추계총회 및 연구발표회 초록집
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• pp.141.1-141
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• 2003

• Journal of Photoscience
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• 제9권2호
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• pp.479-481
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• 2002

UV-induced DNA damage causes cell killing and mutations leading to carcinogenesis. In normal human cells, UV damage such as cyclobutane pyrimidine dimers (CPDs) and primidine-prymidone (6-4) photoproducts are mainly repaired by nucleotide excision repair mechanism. The molecular processes have been well characterized recently. To know the influence of mitochondrial genome on the nucleotide excision repair mechanism against CPDs, we comparatively examined the production of CPDs by UVC irradiation and their repair kinetics in human cells completely lacking mitochondrial DNA (mtDNA) and the parental HeLa S cells. Whole DNA extracted from the cells exposed to UVC was treated with T4-endonuclease V to break the phosphodiester bond adjacent to CPDs. The DNA was electrophoresed in a denaturing agarose gel, which was visualized by ethidium bromide staining. The relative amount of CPDs was determined by image analysis using NIH Image software. MtDNA- less (rho-O) cells were apparently more sensitive to UVC than HeLa S cells, while the level of induction of CPDs in rho-O and HeLa cells was comparable. The repair of CPDs was less efficient in rho-O cells compared with HeLa cells. The residual amount of CPDs after 24-h repair was larger in rho-O cells than in HeLa cells where more than 90 % of CPDs were repaired by then. The non-repaired CPDs would lead to apoptosis in rho-O cells. These results suggest that mitochondrial genome may contribute to some ATP-dependent steps in nucletide excision repair by supplying sufficient ATP which is generated through a respiratory chain in mitochondria.

• Bulletin of the Korean Chemical Society
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• 제32권5호
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• pp.1625-1629
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• 2011

Kinetic studies of the reactions of O,O-diphenyl Z-S-aryl phosphorothioates with X-benzylamines have been carried out in dimethyl sulfoxide at 55.0 $^{\circ}C$. The Hammett (log $k_2$ vs ${\sigma}_X$) and Bronsted [log $k_2$ vs $pK_a(X)$] plots for substituent X variations in the nucleophiles are biphasic concave downwards with a maximum point at X = H, and the unusual positive ${\rho}_X$ and negative ${\beta}_X$ values are obtained for the strongly basic benzylamines. The sign of the cross-interaction constant (${\rho}_{XZ}$) is negative for both the strongly and weakly basic nucleophiles. Greater magnitude of ${\rho}_{XZ}$ value is observed with the weakly basic nucleophiles (${\rho}_{XZ}$ = -2.35) compared to with the strongly basic nucleophiles (${\rho}_{XZ}$ = -0.03). The deuterium kinetic isotope effects ($k_H/k_D$) involving deuterated benzylamines [$XC_6H_4CH_2ND_2$] are primary normal ($k_H/k_D$ > 1). The proposed mechanism is a concerted $S_N2$ involving a frontside nucleophilic attack with a hydrogen bonded, four-center-type transition state for both the strongly and weakly basic nucleophiles. The unusual positive ${\rho}_X$ and negative ${\beta}_X$ values with the strongly basic benzylamines are rationalized by through-space interaction between the ${\pi}$-clouds of the electron-rich phenyl ring of benzylamine and the phenyl ring of the leaving group thiophenoxide.

• 대한화학회지
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• 제31권2호
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• pp.190-196
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• 1987

9-바바라릴 양이온의 구조를 탄소-13 핵자기공명을 이용한 Hammett-Brown식을 이용해서 조사하였다. 이를 위하여 9-아릴트리시클로$[3.3.1.0^{2,8}]$노난 (5) 및 9-아릴트리시클로 $[3.3.1.0^{2,8}]$노나-3,6-디엔 (6)계 양이온을 영하 $120^{\circ}C$에서 해당 알코올과 불화황산과의 반응에서 얻었고 양하전 탄소에 대한 화학적이동이 측정되었다. 양이온 5와 6에 대한 Hammett-Brown식의 기울기, 즉 ${\rho}^{C+}$값은 각각 -5.01과 -7.52였다. 이들 값의 결과로만 보면 이중결합의 영향이 있는 것처럼 보인다. 그러나, 9-바바라릴과 8, 9데히드로아다만틸 양이온들의 ${\rho}^{C+}$와 ${\rho}^{C_a^+}$ 값들을 비교한 결과에서 9-바바라릴 양이온도 도표 1에서의 4의 구조를 가져야 된다는 결론을 얻어냈다.

• 대한기계학회논문집
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• 제11권6호
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• pp.1001-1004
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• 1987

본 연구에서는 우선 선형 탄성문제의 변분해(variational solution)가 Sobol- ev 공간[ $H^{1}$(.OMEGA.)]= $H^{1}$(.OMEGA.)* $H^{1}$(.OMEGA.)* $H^{1}$(.OMEGA.)에서 유일하게 존재함을 재 검토하고 다음으로 경계적분식의 해도 변분해와 같음을 보인다. 이것은 선형 탄 성문제의 경우 고전해(classical solution)가 존재하지 않을 경우에도 BEM을 사용하여 변분해의 수치적 근사치를 구할 수 있다는 수학적 근거가 된다. 이를 위해서 Sobol- ev 공간 내에서의 Green's formula를 적용하는데 점하중해의 특이점(singularity)때문 에 Green's formula를 적용하기가 곤란해진다. 이 문제는 적분영역 .OMEGA.를 .OMEGA.-Ｂ$_{\rho }$로 치환하고 .rho.를 0으로 접근시키는 방법으로 해결한다. 이 때 Ｂ$_{\rho}$는 특이 점에 중심을 두고 매우 작은 변경 .rho.를 갖는 구이다.ho.를 갖는 구이다.

• The Journal of Korean Physical Therapy
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• 제28권5호
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• pp.328-333
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• 2016

Purpose: This study was to investigate the correlation between pain, disability and quality of life among adolescents and office workers with neck and shoulder pain. Methods: Twenty-four subjects (mean age=24.92 years, SD=3.94, range=20-37) with neck and shoulder pain participated in this study. The outcome measures of the study were visual analogue scale (VAS), neck disability index (NDI), shoulder pain and disability index (SPADI), short form-36 (SF-36) for neck and shoulder pain and disability, quality of life. Pearson's correlation and Speaman's rank correlation were used to measure the association between VAS and NDI, SPADI, SF-36. Results: The VAS showed a positive correlation between weak to moderate with the NDI and SPADI, but no significantly correlated (${\rho}=0.34$, ${\rho}=0.25$). The moderate positive correlation and significant correlation were observed between NDI and SPADI (${\rho}=0.43$, p<0.05). The PCS of SF-36 was significantly negative correlated with the VAS (${\rho}=-0.24$), NDI and SPADI (${\rho}=-0.63$, ${\rho}=-0.59$, p<0.05). Conclusion: The pain and disability of neck and shoulder has closely relevance. And, the pain and disability of neck and shoulder has a negative impact on the quality of life.

• 한국식품영양과학회지
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• 제26권2호
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• pp.248-253
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• 1997

계지에서 분리한 보체계 활성화 다당의 보체 활성화양식과 다당의 당쇄결합에 관하여 검토하였다. 계지 보체계 활성화 다당획분들(CC-IIIa, CC-IIIb, CC-IIIc)들은 정상인의 혈청중에 존재하는 주요 보체성분인 C3를 활성화하여 C3a와 C3b 보체 산물을 생성 시켰는데 이 과정은 anti-human C3를 이용한 면역전기영동을 실시하여 확인하였다. $Ca^{++}$ 유무시의 보체계 활성을 측정한 결과 계지에서 분리된 CC-IIIa-3는 고전적 경로(classical pathway)와 부경로(alternative pathway)를 동시에 활성화시킴을 확인하였다. CC-IIIa-3을 메틸화하여 GC/MS로 분석한 결과 비환원 말단의 galactopyranose와 glucopyranose가 확인되었고 1,2-linked rhamnopyranose, 1,6-linked mannopyranose, 1,3-linked glucopyranose, 1,6-linked galactopyranose 등이 확인되었다.

• 한국전기전자재료학회논문지
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• 제21권7호
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• pp.638-644
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• 2008

The effects of $Nb_2O_5$ and $MnO_2$ on the positive temperature coefficient of resistivity (PTCR) behavior of lead-free $Ba_{0.99}(Bi_{1/2}Na_{1/2})_{0.01}TiO_3$ (BaBiNT) ceramics were investigated in order to fabricate a PTC thermistor available at high temperature of > $120^{\circ}C$. In particular, 0.05 mol% $Nb_2O_5$ added BaBiNT ceramic, which has significantly increased Curie temperature (Tc) of $160^{\circ}C$, showed good PTCR behavior; low resistivity at room temperature $(\rho_r)$ of $80.1{\Omega}{\cdot}cm$, a high $\rho_{max}/\rho_{min}$ ratio of $5.65{\times}10^3$ and a large resistivity temperature factor (a) of 18.5%/$^{\circ}C$. Furthermore, the improved $\rho_{max}/\rho_{min}$ of $6.48{\times}10^4$ and a of 25.4%/$^{\circ}C$ along with higher $T_c$ of $167^{\circ}C$ despite slightly increased $\rho_r$ of $569{\Omega}{\cdot}cm$, could be obtained for the BaBiNT + 0.05 mol% $Nb_2O_5$ + 0.02 wt% $MnO_2$ ceramic cooled down at a rate of $200^{\circ}C/h$.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2003년도 춘계학술대회 논문집
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• pp.764-767
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• 2003

The characteristics of diesel spray have much effect on the engine performances such as power. fuel consumption rate and emissions. Therefore, the measurement of fuel spray characteristics is very important for the improvement of heat engine. The factors which control diesel spray characteristics are injection pressure, ambient temperature and density etc. Spray behaviors are visualized by using the high speed video camera and spray angle, spray penetration are measured. Experimental equations of spray penetration and spray angle were derived by using the experimental results. 1) Ambient temperature and density influence on the characteristics of diesel spray. 2) Experimental equation of spray penetration is expressed as follows 0＜t＜ $t_{b}$ ; $S_1$=11.628$\Delta$ $P^{0.485}$ $\rho$$_{a}$ $^{-0.478}$ $t^{1.337}$, $t_{b}$ ＜t; $S_2$=7.457$\Delta$ $P^{0.523}$ $\rho$$_{a}$ $^{-0.382}$ $t^{0.548}$ 3) Experimental equation of spray Angie is expressed as follows $T_{a}$ =293K; Tan($\theta$/2)=059($\rho$$_{a}$ / $\rho$$_{f}$ )$^{0.437}$, $T_{a}$ =473K; Tan($\theta$/2)=0588($\rho$$_{a}$ / $\rho$$_{f}$ )$^{0.404}$_{f}$ )$^{0.404}$