• Korean Journal of Fisheries and Aquatic Sciences
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• v.12 no.1
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• pp.1-6
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• 1979

본연구에서는 그물어구의 상사를 지배하는 무차원수 K를 $$K=\frac{{\nu}^n\rho_wv^{2-n}}{{d^{1+n}(\rho-\rho_w)}$$ d, p: 재료의 직경 및 밀도 $\nu,\rho_w,v$: 물의 동점성계수, 밀도 및 속도으로 정하고, 여기에서의 직경의 비를 결정하는 방법에 따라 실물과 모형과의 상사를 완전하게 그리고 근사적으로 만족시키는 조건들을 구하였다. 즉, 원전한 상사한 경우는 직경의 비를 축척비와 같게 하고, 나아가서 다른 모든 치수의 비도 축척비와 같게 함으로써 만족된다고 하였으며, 측사적 상사의 경우느 직경의 비가 축척비 $(\frac{\lambda_2}{\lambda_1})$와 같지 않아도 된다고 하여, 그물실의 직경 d, 코의 크기 $\iota$ 및 콧수 N의 비를 $$\frac{d_2}{d_1}=\frac{\iota_2}{\iota_1}=\frac{\lambda_2}{\lambda_1}{\cdot}\frac{N_1}{N_2}$$ 으로, 줄의 직경 d', 길이 $\iota'$ 및 밀도 $\rho'$의 비를 $$\frac{d_2'}{d_1'}=\sqrt{{\frac{\lambda_2}{\lambda_1}}\cdot{\frac{d_2}{d_1}}\cdot{\frac{\rho_2-\rho_{w2}}{\rho_1-\rho_{w1}}\cdot{\frac{\rho_1'-\rho_{w1}}{\rho_2'-\rho_{w2}}}}$$, $\frac{\iota_2'}{\iota_1'}=\frac{\lambda_2}{\lambda_1}$로, 부속구의 치경 $d'$, 밀도 $\rho'$ 및 수 $N'$의 비를 $$\frac{N_2'}{N_1'}=(\frac{\lambda_2}{\lambda_1})^2(\frac{d_2}{d_1})(\frac{d_1'}{d_2'})\frac{(\rho_2-\rho_{w2})}{(\rho_1-\rho_{w1})}\frac{(\rho_1'-\rho_{w1})}{(\rho_2'-\rho_{w2})}$$으로 정하였다. 이렇게 정해진 모형어구에 대해 유속 v의 비느 $K_1=K_2$로부터 $$(\frac{u_2}{u_1})^{2-n}=(\frac{\nu_2}{\nu_1})^{-n}\;(\frac{\rho_{w1}}{\rho_{w2}})\;(\frac{\rho_2-\rho_{w2}}{\rho_1-\rho_{w1}})\;(\frac{d_2}{d_1})^{1+n}$$으로 주어지므로, 이를 이용하여 어구저항 D 및 그물감의 다리에서의 장력 $\tau$의 비를 $$\frac{D_2}{D_1}=\frac{d_2(\rho_2-\rho_{w2})}{d_1(\rho_1-\rho_{w1})}(\frac{\lambda_2}{\lambda_1})^2$$ $${\frac{\tau_2}{\tau_1}=\frac{d_2\iota_2(\rho_2-\rho_{w2})}{d_1\iota_1(\rho_1-\rho_{w1})}\;{\cdot}\frac{\lambda_2}{\lambda_1}$$로 정하였다.

• Molecules and Cells
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• v.45 no.9
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• pp.631-639
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• 2022

Breast cancer is the leading cause of cancer-related death in women worldwide, despite medical and technological advancements. The RhoBTB family consists of three isoforms: RhoBTB1, RhoBTB2, and RhoBTB3. RhoBTB1 and RhoBTB2 have been proposed as tumor suppressors in breast cancer. However, the roles of RhoBTB3 proteins are unknown in breast cancer. Bioinformatics analysis, including Oncomine, cBioportal, was used to evaluate the potential functions and prognostic values of RhoBTB3 and Col1a1 in breast cancer. qRT-PCR analysis and immunoblotting assay were performed to investigate relevant expression. Functional experiments including proliferation assay, invasion assay, and flow cytometry assay were conducted to determine the role of RhoBTB3 and Col1a1 in breast cancer cells. RhoBTB3 mRNA levels were significantly up-regulated in breast cancer tissues as compared to in adjacent normal tissues. Moreover, RhoBTB3 expression was found to be associated with Col1a1 expression. Decreasing RhoBTB3 expression may lead to decreases in the proliferative and invasive properties of breast cancer cells. Further, Col1a1 knockdown in breast cancer cells limited the proliferative and invasive ability of cancer cells. Knockdown of RhoBTB3 may exert inhibit the proliferation, migration, and metastasis of breast cancer cells by repressing the expression of Col1a1, providing a novel therapeutic strategy for treating breast cancer.

• The Pure and Applied Mathematics
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• v.25 no.2
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• pp.161-170
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• 2018

In this paper, we introduce and solve the following additive (${\rho}_1,{\rho}_2$)-functional inequality (0.1) $${\parallel}f(x+y+z)-f(x)-f(y)-f(z){\parallel}{\leq}{\parallel}{\rho}_1(f(x+z)-f(x)-f(z)){\parallel}+{\parallel}{\rho}_2(f(y+z)-f(y)-f(z)){\parallel}$$, where ${\rho}_1$ and ${\rho}_2$ are fixed nonzero complex numbers with ${\mid}{\rho}_1{\mid}+{\mid}{\rho}_2{\mid}$ < 2. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (${\rho}_1,{\rho}_2$)-functional inequality (0.1) in complex Banach spaces.

• The Pure and Applied Mathematics
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• v.24 no.1
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• pp.21-31
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• 2017

In this paper, we introduce and solve the following additive (${\rho}_1$, ${\rho}_2$)-functional inequality $${\Large{\parallel}}2f(\frac{x+y}{2})-f(x)-f(y){\Large{\parallel}}{\leq}{\parallel}{\rho}_1(f(x+y)+f(x-y)-2f(x)){\parallel}+{\parallel}{\rho}_2(f(x+y)-f(x)-f(y)){\parallel}$$ where ${\rho}_1$ and ${\rho}_2$ are fixed nonzero complex numbers with $\sqrt{2}{\mid}{\rho}_1{\mid}+{\mid}{\rho}_2{\mid}<1$. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (${\rho}_1$, ${\rho}_2$)-functional inequality (1) in complex Banach spaces.

• The Korean Journal of Applied Statistics
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• v.29 no.3
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• pp.425-435
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• 2016

In this paper, we analyze the inverse statistics of rainfall for 12 regions from 1973 to 2014. We obtain a probability density function f(x) of daily rainfall x, and $f({\tau}_{\rho})$ of the first passage time ${\tau}_{\rho}$ for a given ${\rho}$. Lastly, we derive the relation between ${\rho}$ and ${\tau}_{mean}({\rho})$, i.e., the averaged value of ${\tau}_{\rho}$. The analyses result in the x and ${\tau}_{\rho}$ have stretched exponential distributions. Also, ${\tau}_{mean}({\rho})$ has the form of a stretched exponential function. We derive the shape parameter ${\beta}$ of the distribution, and analyze the characteristics of 12 regional rainfalls.

• Bulletin of the Korean Chemical Society
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• v.19 no.4
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• pp.434-436
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• 1998

The mechanism of nucleophilic displacement was studied by using three variable systems of ${\rho}_X,\; {\rho}_Y,\; and {\rho}_Z$ obtained from the change of substituent X, Y, and Z for the reaction of (Z)-substituted benzyl (X)-benzensulfonates with (Y)-substituted thiobenzamides in acetone at 45 ℃. The results ${\rho}_Z$<0 and ${\rho}_YZ$>${\rho}_XZ$ indicate that this reaction series proceeded via a dissociative $S_N2$ mechanism. The prediction of the movement of TS by using the sign of ${\rho}_XZ{\cdot}{\rho}_{YZ}$ accorded with the Hammond postulate.

• Bulletin of the Korean Chemical Society
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• v.8 no.3
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• pp.200-202
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• 1987

Various useful relations involving Hammett's and $Br{\phi}nsted's$ coefficients are derived for cross interactions between identical groups: ${\rho}_{ii}={\rho}^N+{\rho}^L$, ${\rho}^L-{\rho}^N=1$, ${\beta}_{ii}={\beta}_N+{\beta}_L$ and ${\beta}_N-{\beta}_L=1$. The use of these relations enable us to correctly interprete the transition state structure. Another advantage of the use of these relations is to use ${\rho}/{\rho}_e$ for the determination of corresponding ${\beta}$ values instead of plotting log k vs $pK_{lg}$, once ${\rho}_e$ values for standardizing equilibria are obtained.

• Journal of the Korean Magnetics Society
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• v.5 no.3
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• pp.222-232
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• 1995

자기저항이란 외부 자기장에 의해 재료의 전기저항이 변화되는 현상을 일컫는다. Au와 같은 비자성도체 및 반도체 재료의 경우 외부에서 자기장이 가해지면 전도 전자가 Lorentz 힘을 받아 궤적이 변하므로 저항이 변화한다. 이러한 저항 변화 를 정상 자기저항(Ordinary Magnetoresistance, OMR)이라 하며 일반적으로 상당히 작은 저항의 변화를 나타낸다. 강자성도체 재료에서는 정상 자기저항 효과 외에도 부가적인 효과가 생긴다. 이는 스핀-궤도 결합에 기인한 효과로써 자기 저항은 강자성체의 자화용이축, 외부자계와 잔류간의 각도에 의존하며 이방성 자기저항(Anisotropic Magnetoresistance, AMR)이라 한다. AMR 비(%)는 일반적 으로 다음과 같이 정의된다. 즉 ${\Delta}{\rho}_{AMR}/{\rho}_{ave}=(\rho_{\|}-\rho_{T})/{\rho}_{ave}$로 여기서 $\rho_{\|}$는 자기장의 방향이 전류의 방향과 같을 때의 비저항 이고 $\rho_{T}$는 서로 수직일 때이며 ${\rho}_{ave}=(\rho_{\|}-\rho_{T})/3$이다. 기존의 MR 센서나 자기재생헤드(magnetic read head)에 사용되는 퍼머로이계 합금의 AMR 비는 상온에서 약 2% 정도의 저항변화를 보인다.

• Bulletin of the Korean Chemical Society
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• v.16 no.3
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• pp.277-281
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• 1995

The relationship between the signs of ${\rho}i(0)$, ${\rho}j(0)$ and ${\rho}ij$ and validity of the reactivity-selectivity principle (RSP) has been derived: RSP is valid when W = ${\rho}i(0){\cdot}{\rho}j(0)/{\rho}ij$ is negative. The analysis of 100 reaction series indicated that for normal SN2 reactions involving variations of substituents in the nucleophile (X) and in the substrate (Y) RSP is valid only for a dissociative type for which ${\rho}Y(0)$ is negative, whereas for the acyl transfer reactions with rate-limiting breakdown of the tetrahedral intermediate RSP is valid in general for all substituent changes, X, Y and/or Z (substituent on the leaving group). The trends in the validity of RSP for certain types of reaction can be useful in supplementing the mechanistic criteria based on the signs of ${\rho}i(0)$, ${\rho}j(0)$ and ${\rho}ij$.

• The Pure and Applied Mathematics
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• v.24 no.3
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• pp.179-190
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• 2017

In this paper, we introduce and solve the following quadratic (${\rho}_1$, ${\rho}_2$)-functional inequality (0.1) $$N\left(2f({\frac{x+y}{2}})+2f({\frac{x-y}{2}})-f(x)-f(y),t\right){\leq}min\left(N({\rho}_1(f(x+y)+f(x-y)-2f(x)-2f(y)),t),\;N({\rho}_2(4f(\frac{x+y}{2})+f(x-y)-2f(x)-2f(y)),t)\right)$$ in fuzzy normed spaces, where ${\rho}_1$ and ${\rho}_2$ are fixed nonzero real numbers with ${{\frac{1}{{4\left|{\rho}_1\right|}}+{{\frac{1}{{4\left|{\rho}_2\right|}}$ < 1, and f(0) = 0. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic (${\rho}_1$, ${\rho}_2$)-functional inequality (0.1) in fuzzy Banach spaces.