• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제11권2호
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• pp.9-14
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• 2007

A signed 3-partite graph is a 3-partite graph in which each edge is assigned a positive or a negative sign. Let G(U, V, W) be a signed 3-partite graph with $U\;=\;\{u_1,\;u_2,\;{\cdots},\;u_p\},\;V\;=\;\{v_1,\;v_2,\;{\cdots},\;v_q\}\;and\;W\;=\;\{w_1,\;w_2,\;{\cdots},\;w_r\}$. Then, signed degree of $u_i(v_j\;and\;w_k)$ is $sdeg(u_i)\;=\;d_i\;=\;d^+_i\;-\;d^-_i,\;1\;{\leq}\;i\;{\leq}\;p\;(sdeg(v_j)\;=\;e_j\;=\;e^+_j\;-\;e^-_j,\;1\;{\leq}\;j\;{\leq}q$ and $sdeg(w_k)\;=\;f_k\;=\;f^+_k\;-\;f^-_k,\;1\;{\leq}\;k\;{\leq}\;r)$ where $d^+_i(e^+_j\;and\;f^+_k)$ is the number of positive edges incident with $u_i(v_j\;and\;w_k)$ and $d^-_i(e^-_j\;and\;f^-_k)$ is the number of negative edges incident with $u_i(v_j\;and\;w_k)$. The sequences ${\alpha}\;=\;[d_1,\;d_2,\;{\cdots},\;d_p],\;{\beta}\;=\;[e_1,\;e_2,\;{\cdots},\;e_q]$ and ${\gamma}\;=\;[f_1,\;f_2,\;{\cdots},\;f_r]$ are called the signed degree sequences of G(U, V, W). In this paper, we characterize the signed degree sequences of signed 3-partite graphs.

• 충청수학회지
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• 제24권4호
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• pp.617-630
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• 2011

Let X, Y be vector spaces, and let r be 2 or 4. It is shown that if an odd mapping $f:X{\rightarrow}Y$ satisfies the functional equation $${\hspace{50}}rf(\frac{\sum_{j=1}^{d}\;x_j} {r})+\;{\sum\limits_{\iota(j)=0,1 \atop {\sum_{j=1}^{d}}\;{\iota}(j)=l}}\;rf(\frac{\sum_{j=1}^{d}{(-1)^{\iota(j)}x_j}}{r}) \\({\ddag}){\hspace{160}}=(_{d-1}C_l-_{d-1}C_{l-1}+1)\;{\sum\limits_{j=1}^{d}\;f(x_j)}$$ then the odd mapping $f:X{\rightarrow}Y$ is additive, and we prove the Cauchy-Rassias stability of the functional equation in Banach modules over a unital $C^*$-algebra. As an application, we show that every almost linear bijection $h:{\mathcal{A}}{\rightarrow}{\mathcal{B}}$ of a unital $C^*$-algebra ${\mathcal{A}}$ onto a unital $C^*$-algebra ${\mathcal{B}}$ is a $C^*$-algebra isomorphism when $h(2^nuy)=h(2^nu)h(y)$ for all unitaries $u{\in}{\mathcal{A}}$, all $y{\in}{\mathcal{A}}$, and $n=0,1,2,{\cdots}$.

• Journal of the Korean Wood Science and Technology
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• 제48권2호
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• pp.166-180
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• 2020

Rhododendron schlippenbachii have been used as a medicine because of their various biological activities. In this study, R. schlippenbachii ethanol extract was evaluated for the treatment of vitiligo. The R. schlippenbachii ethanol extract did not show any cell cytotoxicity. The effect on mushroom tyrosinase and cellular tyrosinase activities were further assessed. In addition, the determination of melanin content in melanocytes was measured using both the B16 melanoma cells and C57BL/6J Ler-vit/vit mice. Finally, the existence of quercetin in R. schlippenbachii was confirmed by qualitative analysis using HPLC. The results clearly demonstrated the R. schlippenbachii extract enhanced melanogenesis and also increased tyrosinase activity in cultured melanoma cells and C57BL/6J Ler-vit/vit mice. In addition, treatment with R. schlippenbachii extract led to a higher content of melanin and eumelanin in C57BL/6J Ler-vit/vit mice hair than in control (untreated) mice, which demonstrated the therapeutic effect of hair-graying associated with vitiligo. Finally, we confirmed a notable increase in melanocytes in the skin of C57BL/6J Ler-vit/vit mice treated with R. schlippenbachii extract compared with the control. Extracts of R. schlippenbachii was shown to be potent tyrosinase and melanin synthesis activator in B16 melanoma cells. The R. schlippenbachii extract have significantly higher melanin content than the untreated control in C57BL/6J Ler-vit/vit mice hair. The results suggest that R. schlippenbachii extract might be considered as an alternative treatment for improvement of vitiligo.

• 한국태양에너지학회:학술대회논문집
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• 한국태양에너지학회 2011년도 추계학술발표대회 논문집
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• pp.303-306
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• 2011

Although PV module manufacturing and its structure are simple, the semi-permanent products can be used out doors for more than twenty years. Therefore it is need to choose proper materials and optimize manufacturing process. This paper suggest that factors of degradation need to be studied to achieve a more understanding of PV module Degradation rates and material failure. Nowadays durability of the PV Module is very important to sustain output safety for obtaining reliability. This paper is about the experiment that soldering uniformity of soldering process and to make least void from soldering process. From This study soldering flux residue and soldering method is main factor to form void blocked soldering uniformity and by using this.

• Asian-Australasian Journal of Animal Sciences
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• 제5권2호
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• pp.267-274
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• 1992

In order to study the relationships between the contents of urinary nitrogenous compounds and energy utilization of bird, the sum of nitrogen contents of uric acid, ammonia, creatine and urea voided in excreta was estimated as the urinary nitrogen (UN) in 13-33 day-old fed or fasted White Leghorn male chicks. Energy retention and heat production of birds were determined by comparative slaughter studies. 2.75 mg of endogenous urinary nitrogen (EUn) and 2.19 mg of uric acid was excreted constantly per kJ heat production in fasted bird. One mg of UN was proportionated to 32.26 J (r = 0.999, n = 8) of the urinary energy (UE) in fed and 32.97 J (r = 0.9998, n = 8) of the endogenous urinary energy (UEn) in the fasted bird. Also relationships between 1 mg of uric acid and 38.95 J of UE (r = 0.998, n = 8) or 38.97 J of UEe (r = 0.996, n = 8) were significant (p<0.01). The EUn (r = 0.997, n = 4), uric acid (r = 0.995, n = 4) and metabolic fecal energy (FEm) plus UEe (r = 0.961, n = 4) were increased with the increase of body weight (g/bird). Metabolic fecal nitrogen (MFn) or energy (FEm), EUn and UEe per unit diet were not influenced by the age of day or body weight. The results indicated that energy and protein utilization of bird can be approximated by the relationships among urinary nitrogen, urinary energy, uric acid content in excreta and body weight of bird.

• 대한약학회:학술대회논문집
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• 대한약학회 2000년도 춘계총회 및 학술대회
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• pp.202.3-203
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• 2000

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2008년도 추계학술대회 논문집
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• pp.645-646
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• 2008

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2012년도 추계학술대회 논문집
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• pp.827-828
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• 2012

• 한국전자현미경학회:학술대회논문집
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• 한국현미경학회 2004년도 제35차 춘계학술대회
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• pp.23-25
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• 2004

• 한국전자현미경학회:학술대회논문집
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• 한국현미경학회 2003년도 제34차 춘계학술대회
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• pp.25-27
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• 2003