• Korean Journal of Fisheries and Aquatic Sciences
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• v.3 no.1
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• pp.71-76
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• 1970

The freshwater shrimp, Macrobrachium nipponensis is one of the largest species as well as one of the Important types of food. It can be found widely in rivers and swamps from Che-ju island in the south to Chung-ju in the north. The larval development of these shrimps was studied by Yu (1966) and CHUN and YU (1967), but they didn't provide any other features. Shrimps for the present study were collected from the Ntk-Dong River, near Pusan, once each month from March to December 1963. The following is a summary of the results. 1. The relationship between the carapace length (X) and the body length (Y) is: Y=2.68996X+1.14784 in female. Y=2.73121X+1.10827 in male. 2. The relationship between the carapace length(X)_ and tile basipodite length of the 2nd pereiopode (Y) is: Y=0.16910X-0.06422 in female Y=0.19410X-0.06075 in male. 3. The relationship between the carapace length (X) and the ischiorodite length of the 2nd pereiopode (Y) is: Y= 0.48524X-0.10812 in female. Y= 0.69052X-0.28616 in male. 4. The relationship between the carapace length(X) and the meropodite length of the End pereiopode (Y) is: Y=0.51217X-0.04088 in female. Y= 1.9792X-0.98258 in male. 5. The relationship between the carapace length (X) and the carpopodite length of the 2nd pereiopode (Y) is: Y=0.87701X-0.33919 in female. Y=2.00091X-1.64116 in male. 6. The relationship between the carapace length (X) and the propodite length of the 2nd pereiopode (Y) is: Y= 1.04672 X-0.50727 in female. Y=2.67663X-2.40488 in male. 7. The relationship between the carapace length (X) and the dactylopodite length of the 2nd pereiopode (Y) is: Y=0.26366 X+0.15743 in female. Y=1.04866 X-0.67781 in male.

• The Pure and Applied Mathematics
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• v.23 no.2
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• pp.163-179
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• 2016

Let $M_1f(x,y):=\frac{3}{4}f(x+y)-\frac{1}{4}f(-x-y)+\frac{1}{4}(x-y)+\frac{1}{4}f(y-x)-f(x)-f(y)$, $M_2f(x,y):=2f(\frac{x+y}{2})+f(\frac{x-y}{2})+f(\frac{y-x}{2})-f(x)-f(y)$ Using the direct method, we prove the Hyers-Ulam stability of the additive-quadratic ρ-functional inequalities (0.1) $N(M_1f(x,y)-{\rho}M_2f(x,y),t){\geq}\frac{t}{t+{\varphi}(x,y)}$ and (0.2) $N(M_2f(x,y)-{\rho}M_1f(x,y),t){\geq}\frac{t}{t+{\varphi}(x,y)}$ in fuzzy Banach spaces, where ρ is a fixed real number with ρ ≠ 1.

• Korean Journal of Mathematics
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• v.23 no.2
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• pp.231-248
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• 2015

In this paper, we solve the following quadratic $\rho$-functional inequalities ${\parallel}f(\frac{x+y+z}{2})+f(\frac{x-y-z}{2})+f(\frac{y-x-z}{2})+f(\frac{z-x-y}{2})-f(x)-x(y)-f(z){\parallel}\;(0.1)\\{\leq}{\parallel}{\rho}(f(x+y+z+)+f(x-y-z)+f(y-x-z)+f(z-x-y)-4f(x)-4f(y)-f(z)){\parallel}$ where $\rho$ is a fixed complex number with ${\left|\rho\right|}<\frac{1}{8}$, and ${\parallel}f(x+y+z)+f(x-y-z)+f(y-x-z)+f(z-x-y)-4f(x)-4f(y)-4f(z){\parallel}\;(0.2)\\{\leq}{\parallel}{\rho}(f(\frac{x+y+z}{2})+f(\frac{x-y-z}{2})+f(\frac{y-x-z}{2})+f(\frac{z-x-y}{2})-f(x)-f(y)-f(z)){\parallel}$ where $\rho$ is a fixed complex number with ${\left|\rho\right|}$ < 4. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic $\rho$-functional inequalities (0.1) and (0.2) in complex Banach spaces.

• Honam Mathematical Journal
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• v.34 no.1
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• pp.45-54
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• 2012

In this paper, we prove stabilities of multiplicative functional equations in three variables such as $r(\frac{x+y+z}{3})-r(x+y+z)$=$\frac{2r(\frac{x+y}{2})r(\frac{y+z}{2})r(\frac{z+x}{2})}{r(\frac{x+y}{2})r(\frac{y+z}{2})+r(\frac{y+z}{2})r(\frac{z+x}{2})+r(\frac{z+x}{2})r(\frac{x+y}{2})}$ and $r(\frac{x+y+z}{3})+r(x+y+z)$=$\frac{4r(\frac{x+y}{2})r(\frac{y+z}{2})r(\frac{z+x}{2})}{r(\frac{x+y}{2})r(\frac{y+z}{2})+r(\frac{y+z}{2})r(\frac{z+x}{2})+r(\frac{z+x}{2})r(\frac{x+y}{2})}$.

• Journal of applied mathematics & informatics
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• v.33 no.3_4
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• pp.435-445
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• 2015

In this paper, using the fixed point method, we investigate the generalized Hyers-Ulam stability of the system of quintic functional equation $f(x_1+x_2,y)+f(x_1-x_2,y)=2f(x_1,y)+2f(x_2,y)\;f(x,2_{y1}+y_2)+f(x,2_{y1}-y_2)=f(x,y_1-2_{y2})+f(x,y_1+y_2)\;-f(x,y_1-y_2)+15f(x,y_1)+6f(x,y_2)$ in non-Archimedean 2-Banach spaces.

• Communications of the Korean Mathematical Society
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• v.19 no.4
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• pp.701-713
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• 2004

We obtain the Hyers-Ulam-Rassias stability of a betatype functional equation $f(\varphi(x),\phi(y))$ = $ \psi(x,y)f(x,y)+ \lambda(x,y)$ with a restricted domain and the stability in the sense of R. Ger of the equation $f(\varphi(x),\phi(y))$ = $ \psi(x,y)f(x,y)$ with a restricted domain in the following settings: $g(\varphi(x),\phi(y))-\psi(x,y)g(s,y)-\lambda(x,y)$\mid$\leq\varepsilon(x,y)$ and $\frac{g(\varphi(x),\phi(y))}{\psi(x,y),g(x,y)}-1 $\mid$ \leq\epsilon(x,y)$.

• Journal of the Korean Institute of Gas
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• v.9 no.2 s.27
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• pp.50-55
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• 2005

The compositional and structural properties of alkali metal ion exchanged Y-zeolites have been investigated by la number of analytical techniques and their catalytic activities were tested for NOx reduction in combination with a non-thermal plasma. The NOx conversion data for LiY, NaY, KY and CsY were measured by chemiluminiscent NOx meter in the temperature range of 100 to $350^{\circ}C$. The initial activities of the catalyst at $150^{\circ}C$ increased in the order LiY < KY < NaY < CsY in alkali series. The activity of CsY and NaY were increased and showed maximum at $200^{\circ}C$ and then decreased in the plasma reactor, as the temperature increased. The activity of KY maintained same by $200^{\circ}C$ and then decreased, whereas the activity of LiY decreased with the increasing temperature. The CsY catalyst, which showed the highest activity in alkali metal series, exhibits a NOx conversion efficiency of $80\%$ between $170{\~}220^{\circ}C$.

• Journal of applied mathematics & informatics
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• v.27 no.5_6
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• pp.1165-1176
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• 2009

This paper is concerned with the interval oscillation of the second order nonlinear ordinary differential equation (r(t)|y'(t)|$^{{\alpha}-1}$ y'(t))'+p(t)|y'(t)|$^{{\alpha}-1}$ y'(t)+q(t)f(y(t))g(y'(t))=0. By constructing ageneralized Riccati transformation and using the method of averaging techniques, we establish some interval oscillation criteria when f(y) is not differetiable but satisfies the condition $\frac{f(y)}{|y|^{{\alpha}-1}y}$ ${\geq}{\mu}_0$ > 0 for $y{\neq}0$.

• Korean Journal of Animal Reproduction
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• v.15 no.2
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• pp.149-155
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• 1991

본 실험은 H-Y 항원 유전자 크로닝을 위한 기초연구로서 H-Y 항원의 특성을 규명하기 위하여 친화성 크로마토그래피에 의하여 H-Y 항원을 분리·정제하였다. 정소 추출액을 항체가 결합된 column에 결합시킨 뒤 10% acetic acid로 용출시켰다. 용출된 분획을 모아 농축한 후 HPLC와 SDS-PAGE를 실시하여 H-Y 항원의 분자량은 약 6,7000달톤 임을 알 수 있었으며 isoelectric focusing에 의하여 등전점(pI)은 5.0인 것으로 측정되었다. H-Y 항원에 대한 단일클론항체와 표지항원으로는 H-Y 항원-ABEI(aminobutylethyl isoluminol)를 사용하여 H-Y 항원 정량을 위한 화학발광면역분석법을 개발하였다. 항원항체 반응후 빛의 측정은 NaOH 존재하에서 microperoxidase/H2O2를 이용한 산화반응으로 실시하여 10초간 측정한 빛의 양을 적분하였다. H-Y 항원의 농도와 빛의 양과는 역비례하였으며 감도는 11.8ng/tube 정도이었다.

• The Pure and Applied Mathematics
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• v.23 no.3
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• pp.247-263
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• 2016

Let $M_{1}f(x,y):=\frac{3}{4}f(x+y)-\frac{1}{4}f(-x-y)+\frac{1}{4}f(x-y)+\frac{1}{4}f(y-x)-f(x)-f(y)$, $M_{2}f(x,y):=2f(\frac{x+y}{2})+f(\frac{x-y}{2})+f(\frac{y-x}{2})-f(x)-f(y)$. Using the direct method, we prove the Hyers-Ulam stability of the additive-quadratic ρ-functional inequalities (0.1) $N(M_{1}f(x,y),t){\geq}N({\rho}M_{2}f(x,y),t)$ where ρ is a fixed real number with |ρ| < 1, and (0.2) $N(M_{2}f(x,y),t){\geq}N({\rho}M_{1}f(x,y),t)$ where ρ is a fixed real number with |ρ| < $\frac{1}{2}$.