• Korean Journal of Food Science and Technology
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• v.20 no.4
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• pp.563-568
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• 1988

Relative effectiveness of antioxidants with their synergists was investigated by measuring AOM stability of palm oil and beef tallow during heating. TBHQ added at a concentration of 0.02% gave the highest AOM stability to palm oil among the antioxidants tested at the equivalent concentration. Beef tallow with added TBHQ showed a higher AOM stability than those with α-tocopherol$({\alpha}-toc)$ and a mixture of BHA and BHT, but showed a lower AOM stability than those with {$\delta}-rich$ tocopherol$({\delta}-toc)$ and mixed tocopherol(m-toc). Addition of ${\alpha}-toc$ to palm oil and beef tallow increased the AOM stability less than a mixture of BHA and BHT. Palm oil and beef tallow with added ${\delta}-toc$ and m-toc showed higher AOM stabilities than that with ${\alpha}-toc$, and there was no significant difference in AOM stability noted between ${\delta}-toc$ and m-toc. The synergistic effects of citric acid to ${\alpha}-toc\;and\;{\delta}-toc$ and of ascorbyl palmitate to ${\delta}-toc$ was noted higher in beef tallow than in palm oil, while that of ascorbyl palmitate to ${\alpha}-toc$ was higher in palm oil than in beef tallow.

• Bulletin of the Korean Mathematical Society
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• v.49 no.6
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• pp.1131-1145
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• 2012

The purpose of this paper is to use an appropriate variational framework to discuss the boundary value problem with p-Laplacian type operators $$\{({\alpha}(t,x^{\Delta}(t)))^{\Delta}-a(t){\phi}_p(x^{\sigma}(t))+f({\sigma}(t),x^{\sigma}(t))=0,\;{\Delta}-a.e.\;t{\in}I\\x^{\sigma}(0)=0,\\{\beta}_1x^{\sigma}(1)+{\beta}_2x^{\Delta}({\sigma}(1))=0,$$ where ${\beta}_1$, ${\beta}_2$ > 0, $I=[0,1]^{k^2}$, ${\alpha}({\cdot},x({\cdot}))$ is an operator of $p$-Laplacian type, $\mathbb{T}$ is a time scale. Some sufficient conditions for the existence of constant-sign solutions are obtained.

• Communications of the Korean Mathematical Society
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• v.20 no.2
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• pp.339-350
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• 2005

We obtain the following two inequalities on a strongly pseudoconvex domain $\Omega\;in\;\mathbb{C}^n\;:\;for\;f\;{\in}\;O(\Omega)$ $$\int_{0}^{{\delta}0}t^{a{\mid}a{\mid}+b}M_p^a(t, D^{a}f)dt\lesssim\int_{0}^{{\delta}0}t^{b}M_p^a(t,\;f)dt\;\int_{O}^{{\delta}O}t_{b}M_p^a(t,\;f)dt\lesssim\sum_{j=0}^{m}\int_{O}^{{\delta}O}t^{am+b}M_{p}^{a}\(t,\;\aleph^{i}f\)dt$$. In [9], Shi proved these results for the unit ball in $\mathbb{C}^n$. These are generalizations of some classical results of Hardy and Littlewood.

• Korean Chemical Engineering Research
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• v.50 no.2
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• pp.198-203
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• 2012

Salting-out technique was adopted to crystallize dye crystals from dye solution. In this research solubility of dye solution and crystallization kinetics of Reactive dye (RB-8, RB-49, RR-218) was investigated. The empirical expressions of salting-out crystallization kinetics for Reactive dye (RB-8, RB-49, RR-218) in continuous MSMPR crystallizer was RB-8 in crystal growth kinetics $G=7.1{\times}10^{-4}{\Delta}C^{0.67}$ and nucleation kinetics $B^0=3.1{\times}10^{15}{\Delta}C[1.2{\times}10^{-8}+{\Delta}C^{0.7}M_T{^2}]$, RB-49 in crystal growth kinetics $G=5.2{\times}10^{-4}{\Delta}C^{0.3441}$ and nucleation kinetics $B^0=7.2{\times}10^{15}{\Delta}C[3.3{\times}10^{-8}+({\Delta}C)^{0.7}M_T{^2}]$, RR-218 in crystal growth kinetics $G=4.4{\times}10^{-4}{\Delta}C^{0.2361}$ and nucleation kinetics $B^0=6.3{\times}10^{15}{\Delta}C[7.9{\times}10^{-8}+({\Delta}C)^{0.7}M_T{^2}]$. Also, comparison of calculated crystal size distribution applying to characteristic curve method with experimental crystal size showed good agreement.

• The Bulletin of The Korean Astronomical Society
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• v.35 no.2
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• pp.51.2-51.2
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• 2010

We have investigated 63 intense geomagnetic storms (Dst $\leq$ -100 nT) that occurred from 1998 to 2006. Using these events, we compared Dst forecast models: Burton et al. (1975), Fenrich and Luhmann (1998), O'Brien and McPherron (2000a), Wang et al. (2003), and Temerin and Li (2002, 2006) models. For comparison, we examined a linear correlation coefficient, RMS error, the difference of Dst minimum value (${\Delta}$peak), and the difference of Dst minimum time (${\Delta}$peak_time) between the observed and the predicted during geomagnetic storm period. As a result, we found that Temerin and Li model is mostly much better than other models. The model produces a linear correlation coefficient of 0.94, a RMS (Root Mean Square) error of 14.89 nT, a MAD (Mean Absolute Deviation) of ${\Delta}$peak of 12.54 nT, and a MAD of ${\Delta}$peak_time of 1.44 hour. Also, we classified storm events as five groups according to their interplanetary origin structures: 17 sMC events (IP shock and MC), 18 SH events (sheath field), 10 SH+MC events (Sheath field and MC), 8 CIR events, and 10 nonMC events (non-MC type ICME). We found that Temerin and Li model is also best for all structures. The RMS error and MAD of ${\Delta}$peak of their model depend on their associated interplanetary structures like; 19.1 nT and 16.7 nT for sMC, 12.5 nT and 7.8 nT for SH, 17.6 nT and 15.8 nT for SH+MC, 11.8 nT and 8.6 nT for CIR, and 11.9 nT and 10.5 nT for nonMC. One interesting thing is that MC-associated storms produce larger errors than the other-associated ones. Especially, the values of RMS error and MAD of ${\Delta}$peak of SH structure of Temerin and Li model are very lower than those of other models.

• Journal of Korean Neurosurgical Society
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• v.57 no.4
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• pp.283-288
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• 2015

Objective : This study aims to visualize the subjective symptoms before and after the treatment of whiplash injury using infrared (IR) thermography. Methods : IR thermography was performed for 42 patients who were diagnosed with whiplash injury. There were 19 male and 23 female patients. The mean age was 43.12 years. Thermal differences (${\Delta}T$) in the neck and shoulder and changes in the thermal differences (${\Delta}dT$) before and after treatment were analyzed. Pain after injury was evaluated using visual analogue scale (VAS) before and after treatment (${\Delta}VAS$). The correlations between ${\Delta}dT$ and ${\Delta}VAS$ results before and after the treatment were examined. We used Digital Infrared Thermal Imaging equipment of Dorex company for IR thermography. Results : The skin temperature of the neck and shoulder immediately after injury showed $1-2^{\circ}C$ hyperthermia than normal. After two weeks, the skin temperature was normal range. ${\Delta}T$ after immediately injuy was higher than normal value, but it was gradually near the normal value after two weeks. ${\Delta}dT$ before and after treatment were statistically significant (p<0.05). VAS of the neck and shoulder significantly reduced after 2 week (p=0.001). Also, there was significant correlation between ${\Delta}dT$ and reduced ${\Delta}VAS$ (the neck; r=0.412, p<0.007) (the shoulder; r=0.648, p<0.000). Conclusion : The skin temperature of sites with whiplash injury is immediately hyperthermia and gradually decreased after two weeks, finally it got close to normal temperature. These were highly correlated with reduced VAS. IR thermography can be a reliable tool to visualize the symptoms of whiplash injury and the effectiveness of treatment in clinical settings.

• The Korean Journal of Pain
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• v.14 no.2
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• pp.164-170
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• 2001

Background: Infrared Thermal Imaging (ITI) is an effective tool for the diagnosis of disease and evaluation of the therapeutic effects following pain treatment. Patients who were treated for pain in pain clinic described the intensity of pain and the degree of change of their pain using a visual analogue scale (VAS). In this study, the usefulness of ITI following multimodal methods for pain management were compared with the change of VAS. Methods: 1119 patients were evaluated. The patients were treated with stellate ganglion block, epidural block or trigger points injection. Before treatment, the temperature difference (${\Delta}T$) of the involved area and the corresponding area on the opposite side of the body was measured using ITI and VAS was assessed. After treatment, the temperature difference (${\Delta}T$) between the normal and involved areas, the change of ${\Delta}T$ (${\Delta}dT$), VAS and the change of VAS (${\Delta}VAS$) were measured. Statistic correlations between ${\Delta}dT$and ${\Delta}VAS$ were calculated in all groups. Results: Correlation of the ${\Delta}dT$ and ${\Delta}VAS$ was significant by contingency coefficient test. (SGB group, C = 0.358, Epi group, C = 0.377, TPI group, C = 0.374, P < 0.05) Conclusions: ITI is a reliable tool for the assessment of therapeutic effects following multidimensional management of painful disease.

• 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 CROP SCIENCE
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• v.48 no.6
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• pp.469-472
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• 2003

The rice bran has been known to contain tocopherols and tocotrienols carrying antioxidant and cholesterol-lowing activities. The content of 8 isomers of vitamin E : $\alpha\textrm{-}$, $\beta\textrm{-}$, $\gamma\textrm{-}$, $\delta\textrm{-}$tocoperols (T) and tocotrienols ($\textrm{T}_3$) were extracted from 18 major rice varieties and quantified with an HPLC. Tested varieties exhibited T, $\textrm{T}_3$ and total vitamin E ($\textrm{TT}_3$) contents ranging 9.1-14.8, 22.4-37.1, 34.9-46.5 mg/100g with averages of 11.1, 28.0, 39.2 mg/100g, respectively. Among tested varieties, Seojinbyeo and Hwasungbyeo showed high T contents and Andabyeo, Damakum were high in $\textrm{T}_3$, and Andabyeo and Seojinbyeo were high in total $\textrm{TT}_3$ contents. Regardless of varieties, the average 8 isomer contents (in mg/100g) were in descending order of $\gamma\textrm{-}$$\textrm{T}_3$(17.9) ＞$\alpha\textrm{-}$$\textrm{T}_3$(8.8) ＞$\alpha\textrm{-}$T (7.8) ＞$\gamma\textrm{-}$T(2.6) ＞$\delta\textrm{-}$$\textrm{T}_3$ (0.9)＞$\beta\textrm{-}$T (0.7)＞$\beta\textrm{-}$$\textrm{T}_3$ (0.4)＞$\delta\textrm{-}$T (0.1). In most varieties, $\gamma\textrm{-}$$\textrm{T}_3$, a strong antioxidant and anticancer compound, consisted 64% of total tocotrienol and 46% of total vitamin E in vice bran.

• Journal of the Korean Mathematical Society
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• v.15 no.1
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• pp.59-61
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• 1978

Let $X_1$, $X_2$, ${\cdots}$, $X_n$ be i.i.d. uniform (0,1) random variables. Let $f_n(x)$ denote the probability density function (p.d.f.) of $T_n={\sum}^n_{i=1}X_i$. Consider a set S(x ; ${\delta}$) of lattice points defined by S(x ; ${\delta}$) = $x{\mid}x={\delta}+j$, j=0, 1, ${\cdots}$, n-1, $0{\leq}{\delta}{\leq}1$} The lattice distribution induced by the p.d.f. of $T_n$ is defined as follow: (1) $f_n^{(\delta)}(x)=\{f_n(x)\;if\;x{\in}S(x;{\delta})\\0\;otherwise.$. In this paper we show that $f_n{^{(\delta)}}(x)$ is a probability function thus we obtain a family of lattice distributions {$f_n{^{(\delta)}}(x)$ : $0{\leq}{\delta}{\leq}1$}, that the mean and variance of the lattice distributions are independent of ${\delta}$.