• Korean Journal of Mathematics
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• v.16 no.1
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• pp.91-101
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• 2008

Let H be a Hilbert space. Assume that $0{\leq}{\alpha}$, ${\beta}{\leq}1$ and r(t) > 0 in I = [0, T]. By means of the fixed point theorem of Leray-Schauder type the existence principles of solutions for two point boundary value problems of the form $\array{(r(t)x^{\prime}(t))^{\prime}+f(t,x(t),r(t)x^{\prime}(t))=0,\;t{\in}I\\x(0)=x(T)=0}$ are established where f satisfies for positive constants a, b and c ${\mid}{f(t,x,y){\mid}{\leq}a{\mid}x{\mid}^{\alpha}+b{\mid}y{\mid}^{\beta}+c\;\;for\;all(t,x,y){\in}I{\times}H{\times}H$.

• Bulletin of the Korean Mathematical Society
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• v.59 no.3
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• pp.643-657
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• 2022

Let R be a ring and S a multiplicative subset of R. An R-module T is called u-S-torsion (u-always abbreviates uniformly) provided that sT = 0 for some s ∈ S. The notion of u-S-exact sequences is also introduced from the viewpoint of uniformity. An R-module F is called u-S-flat provided that the induced sequence 0 → A ⊗_R F → B ⊗_R F → C ⊗_R F → 0 is u-S-exact for any u-S-exact sequence 0 → A → B → C → 0. A ring R is called u-S-von Neumann regular provided there exists an element s ∈ S satisfying that for any a ∈ R there exists r ∈ R such that sα = rα². We obtain that a ring R is a u-S-von Neumann regular ring if and only if any R-module is u-S-flat. Several properties of u-S-flat modules and u-S-von Neumann regular rings are obtained.

• The Journal of the Acoustical Society of Korea
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• v.13 no.1
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• pp.93-98
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• 1994

This study aims to find the theoretical consideration of the basic simularity rule between scale model experiment and real building as a results ; 1. In the case of room acoustics, $f_m=n\cdot{f_r}\;T_m=T_r/n\; \alpha_m(f_m)=\alpha_r(f_r)$ 2. That of sound Insulation : $TL_m(f_m)=TL_r(f_r)$

• Journal of the Korean Wood Science and Technology
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• v.18 no.1
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• pp.10-14
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• 1990

한국산 옻액의 경화거동을 알아보기 위하여 F.T.-I.R. 분석을 수행하였다. Acetone 추출한 urushiol의 F.T.-I.R. peak는 $3,422cm^{-1}$, $2,928cm^{-1}$, $1,622cm^{-1}$, $1,475cm^{-1}$, $1,281cm^{-1}$, $984cm^{-1}$, $947cm^{-1}$, $735cm^{-1}$이었다. 또한, 옻액의 정시경화거동에서 $1,651cm^{-1}$ peak는 urushiol-quinone이 laccase의 촉매작용에 의하여 산화중합한 후 982와 $947cm^{-1}$의 conjugated diene와 결합해서 dimer 형성을 알 수 있었다.

• Journal of Life Science
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• v.22 no.5
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• pp.671-680
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• 2012

Three kinds of dietary composites-R+T, R+F, and R+TF-were combined in green tea (T), dietary fiber (F), and green tea dietary fiber mixture (TF) to red garlic extract (RG), respectively. The effects of their diets on anti-obesity were investigated $in$ $vitro$ and $in$ $vitro$ in obese rats induced high fat-cholesterol. In $in$ $vivo$ rats, the total phenolic content of the R+T and R+TF was 1.9~2.0 times higher, and their total cholesterol adsorption was 9.5~11.5 times higher than that of RG. $In$ $vivo$, male Sprague-Dawley rats were divided into 6 groups (Normal, HFC, HRG, HR+T, HR+F and HR+TF). Afterwards, the diets of the HRG, HR+T, HR+F, and HR+TF groups were supplemented with 1% of RG and its dietary composites (R+T, R+F, and R+TF) for 4 weeks, respectively. The final body weight of the HRG, HR+T, HR+F, and HR+TF groups decreased significantly compared to the group fed high fat-cholesterol (HFC), but the food efficiency ratio was not significantly different from the HFC group. The liver weight of the HFC group doubled compared to the normal group, whereas that of HR+T and HR+TF groups decreased significantly. The weight of visceral and epididymal fat decreased significantly in the groups fed the composites compared to the HFC group. The obesity index of HR+TF group decreased significantly only when compared to the HFC group. The serum lipid profile such as total lipids, cholesterol, triglyceride, LDL- and VLDL-cholesterol, as well as the atherogenic index and cardiac risk factors decreased drastically in all experimental groups compared to the HFC group, and the levels of HR+T, HR+F and HR+TF groups were a similar trend. GPT activity was not significantly different among the groups fed the composites, and it decreased significantly in the HRG group. The content of the lipid peroxide level decreased significantly in the HRG group and in the groups fed the composites, compared to the HFC group. Serum antioxidant activity was the highest in the HR+T group. We suggest that the hypolipidemic and anti-obesity effect of the RG composites, achieved by mixing green tea extract and/or dietary fiber, was due to their total phenolic content and total cholesterol adsorption effect.

• Bulletin of the Korean Mathematical Society
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• v.53 no.4
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• pp.1157-1169
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• 2016

We find the distributional solutions of the Wilson's functional equations $$u{\circ}T+u{\circ}T^{\sigma}-2u{\otimes}v=0,\\u{\circ}T+u{\circ}T^{\sigma}-2v{\otimes}u=0,$$ where $u,v{\in}{\mathcal{D}}^{\prime}({\mathbb{R}}^n)$, the space of Schwartz distributions, T(x, y) = x + y, $T^{\sigma}(x,y)=x+{\sigma}y$, $x,y{\in}{\mathbb{R}}^n$, ${\sigma}$ an involution, and ${\circ}$, ${\otimes}$ are pullback and tensor product of distributions, respectively. As a consequence, we solve the $Erd{\ddot{o}}s$' problem for the Wilson's functional equations in the class of locally integrable functions. We also consider the Ulam-Hyers stability of the classical Wilson's functional equations $$f(x+y)+f(x+{\sigma}y)=2f(x)g(y),\\f(x+y)+f(x+{\sigma}y)=2g(x)f(y)$$ in the class of Lebesgue measurable functions.

• Bulletin of the Korean Mathematical Society
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• v.51 no.4
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• pp.1127-1133
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• 2014

Let S be a nonempty subset of a ring R. A map $f:R{\rightarrow}R$ is called strong commutativity preserving on S if [f(x), f(y)] = [x, y] for all $x,y{\in}S$, where the symbol [x, y] denotes xy - yx. Bell and Daif proved that if a derivation D of a semiprime ring R is strong commutativity preserving on a nonzero right ideal ${\rho}$ of R, then ${\rho}{\subseteq}Z$, the center of R. Also they proved that if an endomorphism T of a semiprime ring R is strong commutativity preserving on a nonzero two-sided ideal I of R and not identity on the ideal $I{\cup}T^{-1}(I)$, then R contains a nonzero central ideal. This short note shows that the conclusions of Bell and Daif are also true without the additivity of the derivation D and the endomorphism T.

• Journal of the Chungcheong Mathematical Society
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• v.27 no.3
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• pp.489-494
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• 2014

In this paper, we define the extension $f^*:[a,b]{\rightarrow}\mathbb{R}$ of a function $f:[a,b]_{\mathbb{T}}{\rightarrow}\mathbb{R}$ for a time scale $\mathbb{T}$ and investigate the properties of the Lebesgue delta integral of f on $[a,b]_{\mathbb{T}}$ by using the function $f^*$.

• Korean Journal of Veterinary Research
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• v.54 no.3
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• pp.165-169
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• 2014

The present study compared leptin, adiponectin, and thyroid hormone concentrations in normal and obese dogs, and evaluated the association between leptin and adiponectin concentrations and thyroid function. The serum leptin, adiponectin, thyroid-stimulating hormone (TSH), total thyroxine (tT4), free thyroxine (fT4), triiodothyronine (T3), and cortisol concentrations were measured in 18 normal dogs (body condition score [BCS]: 4-5/9) and 16 obese dogs (BCS: 8-9/9). Leptin and T3 concentrations were higher in the obese group than the normal weight group (p < 0.01 and p < 0.05, respectively). In both groups, the T3 and leptin concentrations were correlated (r = 0.370, p < 0.05), as were the TSH and fT4 and adiponectin concentrations (r = -0.373, p < 0.05 and r = 0.369, p < 0.05, respectively). In the normal weight group, the TSH and fT4 concentrations were correlated with the adiponectin concentrations (r = -0.528, p < 0.05 and r = 0.482, p < 0.05, respectively). The results of the present study suggest that leptin and T3 concentrations are significantly higher in obese dogs than normal weight dogs, and the serum T3 and leptin concentrations are positively correlated.

• Membrane Journal
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• v.23 no.1
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• pp.61-69
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• 2013

The effect of humic acid (HA), and the roles of microfiltration (MF), PES (polyethersulfone) beads adsorption, and photo-oxidation were investigated in hybrid process of ceramic MF and PES beads loaded with titanium dioxide ($TiO_2$) photocatalyst for advanced drinking water treatment. Those were compared and studied in viewpoints of membrane fouling resistance ($R_f$), permeate flux (J), and total permeate volume ($V_T$). Because membrane fouling increased dramatically as decreasing HA, $R_f$ increased and J decreased, and finally $V_T$ was the highest at 2 mg/L HA. In the experiment to investigate the roles of photo-oxidation and adsorption at humic acid 4 mg/L and 6 mg/L. In both conditions, $R_f$ was the lowest and $V_T$ was the highest in MF + $TiO_2$ + UV process. The average treatment efficiencies of turbidity and dissolved organic matters were the highest in MF + $TiO_2$ + UV process, too.