• Kyungpook Mathematical Journal
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• v.52 no.4
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• pp.413-431
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• 2012

Let $C^r[0,t]$ be the function space of the vector-valued continuous paths $x:[0,t]{\rightarrow}\mathbb{R}^r$ and define $X_t:C^r[0,t]{\rightarrow}\mathbb{R}^{(n+1)r}$ and $Y_t:C^r[0,t]{\rightarrow}\mathbb{R}^{nr}$ by $X_t(x)=(x(t_0),\;x(t_1),\;{\cdots},\;x(t_{n-1}),\;x(t_n))$ and $Y_t(x)=(x(t_0),\;x(t_1),\;{\cdots},\;x(t_{n-1}))$, respectively, where $0=t_0$ < $t_1$ < ${\cdots}$ < $t_n=t$. In the present paper, using two simple formulas for the conditional expectations over $C^r[0,t]$ with the conditioning functions $X_t$ and $Y_t$, we establish evaluation formulas for the analogue of the conditional analytic Fourier-Feynman transform for the function of the form $${\exp}\{{\int_o}^t{\theta}(s,\;x(s))\;d{\eta}(s)\}{\psi}(x(t)),\;x{\in}C^r[0,t]$$ where ${\eta}$ is a complex Borel measure on [0, t] and both ${\theta}(s,{\cdot})$ and ${\psi}$ are the Fourier-Stieltjes transforms of the complex Borel measures on $\mathbb{R}^r$.

• Journal of Animal Science and Technology
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• v.47 no.5
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• pp.745-758
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• 2005

Two hundred fifty eight Hanwoo steers were used in a completely randomized design experiment to determine the effects of ad libitum or restricted feeding of concentrates on body weight(BW) gain, feed intake, blood metabolites and hematological parameters. Steers were assigned at 6 months of age to feeding groups of ad libitum(T1) or restricted(T2) by 18 months of age. Steers in both groups were fed ad libitum from 19 months of age. The restrictive feeding levels were 1.2-1.5% of BW for the growing period and 1.7-1.8% of BW for the early fattening period. Average daily gains were significantly higher in T1 than in T2 from 10 to 14 months of age, but were significantly higher in T2 than in T1 from 20 to 24 months of age(p<0.05). Total dry matter intake(DMI) was higher in T1 than in T2 at 10, 12 and 16 months of age(p<0.05). Total DMI of T2 was higher than that of T1 at 22 months of age(p<0.05). Feed conversions were significantly lower in T2 than in T1 from 20 to 30 months of age(p<0.05). Blood albumin concentrations were significantly higher in T2 than in T1 at 12, 14, 16 and 18 months of age. Blood triglyceride concentrations were significantly higher in T1 than in T2 at 14 and 16 months of age(p<0.05). Blood inorganic phosphorus concentrations were significantly higher in T2 compared with T1 at 8, 10, 16 and 22 months of age(p<0.05). Mean corpuscular volume and mean corpuscular hemoglobin were significantly lower in T2 than in T1 from 8 to 12 months of age(p<0.05), but those were significantly higher in T2 than T1 from 10 months to 12 months of age(p<0.05). Present results may indicate that the restricted feeding for the growing period does not show adverse effects on body weight gain with better feed conversion for the following late fattening period.

• Journal of applied mathematics & informatics
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• v.24 no.1_2
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• pp.437-448
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• 2007

Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let $T_1,\;T_2\;and\;T_3\;:\;K{\rightarrow}E$ be nonexpansive mappings with nonempty common fixed points set. Let $\{\alpha_n\},\;\{\beta_n\},\;\{\gamma_n\},\;\{\alpha'_n\},\;\{\beta'_n\},\;\{\gamma'_n\},\;\{\alpha'_n\},\;\{\beta'_n\}\;and\;\{\gamma'_n\}$ be real sequences in [0, 1] such that ${\alpha}_n+{\beta}_n+{\gamma}_n={\alpha}'_n+{\beta'_n+\gamma}'_n={\alpha}'_n+{\beta}'_n+{\gamma}'_n=1$, starting from arbitrary $x_1{\in}K$, define the sequence $\{x_n\}$ by $$\{zn=P({\alpha}'_nT_1x_n+{\beta}'_nx_n+{\gamma}'_nw_n)\;yn=P({\alpha}'_nT_2z_n+{\beta}'_nx_n+{\gamma}'_nv_n)\;x_{n+1}=P({\alpha}_nT_3y_n+{\beta}_nx_n+{\gamma}_nu_n)$$ with the restrictions $\sum^\infty_{n=1}{\gamma}_n<\infty,\;\sum^\infty_{n=1}{\gamma}'_n<\infty,\; \sum^\infty_{n=1}{\gamma}'_n<\infty$. (i) If the dual $E^*$ of E has the Kadec-Klee property, then weak convergence of a $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is proved; (ii) If $T_1,\;T_2\;and\;T_3$ satisfy condition(A'), then strong convergence of $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is obtained.

• Bulletin of the Korean Mathematical Society
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• v.45 no.4
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• pp.663-670
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• 2008

In this paper, the aim is to solve the neutral delay differential equations in the following form using multiquadric approximation scheme, (1) $$\{_{\;y(t)\;=\;{\phi}(t),\;\;\;\;\;t\;{\leq}\;{t_1},}^{\;y'(t)\;=\;f(t,\;y(t),\;y(t\;-\;{\tau}(t,\;y(t))),\;y'(t\;-\;{\sigma}(t,\;y(t)))),\;{t_1}\;{\leq}\;t\;{\leq}\;{t_f},}$$ where f : $[t_1,\;t_f]\;{\times}\;R\;{\times}\;R\;{\times}\;R\;{\rightarrow}\;R$ is a smooth function, $\tau(t,\;y(t))$ and $\sigma(t,\;y(t))$ are continuous functions on $[t_1,\;t_f]{\times}R$ such that t-$\tau(t,\;y(t))$ < $t_f$ and t - $\sigma(t,\;y(t))$ < $t_f$. Also $\phi(t)$ represents the initial function or the initial data. Hence, we present the advantage of using the multiquadric approximation scheme. In the sequel, presented numerical solutions of some experiments, illustrate the high accuracy and the efficiency of the proposed method even where the data points are scattered.

• Journal of The Korean Society of Grassland and Forage Science
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• v.24 no.1
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• pp.43-52
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• 2004

This study was carried out to determine the effect of corn silage and roughage feeding systems on milk yield and milk compositions. The experimental design was allotted into 3 treatments according to the feeding systems of rice straw(rice straw＋concentrate: T1), corn silage(corn silage ＋ concentrate: T2) and TMR treatment(Total mixed rate : roughage ＋ concentrate: T3). This research was carried out from Oct. 1988 to Mar. 1999 at Kimcheon Kyungbook. The results obtained were summarized as follows: 1. The milk yield increased upon T2(31.9$\pm$3.2kg) ＞ T3(29.6$\pm$3.8kg) ＞ T1 treatment(22.5$\pm$2.0kg)(P<0.05), but cows with T2 and T3 produced the highest at third parity while T1 at forth parity. 2. The milk fat percentage was the highest at T3 treatment(3.79$\pm$0.31%), and on the other hand T1 treatment appeared the lowest percentage. Cow at 2nd parity produced the highest milk fat contend over the other parity. 3. There was no significant difference in protein content between treatments and parity, but T2 and T3 were higher than T1 4. Treatment did not affact content of SNF even though T2 and T3 of the SNF revealed to higher than T1. T5 was T3(12.51$\pm$0.57%)>T1(11.71$\pm$0.62%)>T2 treatment(11.52$\pm$0.55%). These were not significant. 5. Somatic cell counts were the highest at T1(39.6 ${\times}$ $10^4$cell/ml), but T2 treatment was the lowest as 28.7 ${\times}$ $10^4$ cell/ml. These results indicates that com silage(T2) and TMR treatment(T3) could be recommended

• Korean Journal of Ichthyology
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• v.19 no.1
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• pp.35-43
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• 2007

Age and growth of black rockfish, Sebastes schlegeli sampled from the Tongyeong marine ranching area in Korea waters were determined from 1,173 otoliths from July, 2001 to May, 2004. Examination of outer margins of the otolith showed that the opaque zone was formed once a year. Marginal increment of the otolith formed annual ring from July. The von Bertalanffy growth curve had the growth parameters estimated from non-linear regression were $L_t=48.45(1-e^{-0.2139(t+0.4313)})$, $W_t=1,837.93(1-e^{-0.2139(t+0.4313)})^{3.02}$ 3.02 for females and, $L_t=49.32(1-e^{-0.1775(t+0.7403)})$, $W_t=1,887.83(1-e^{-0.1775(t+0.7403)})^3$ for males, where t is age (year) and Lt is body length (mm) at age t. Growth at the age of male and female shows significant difference (p<0.01).

• Journal of the Korean Society of Radiology
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• v.10 no.2
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• pp.73-79
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• 2016

The purpose of this analysis is to compare 2D T1 FEE and 3D T1 THRIVE for demonstration of the pancreas. A total of 85(45 men, 40 women; 58 years) PACS network datum were analysis clinically indicated pancreas MRI at 1.5 T. The SNRs and CNRs of 3D T1 THRIVE(SNR: $46.42{\pm}0.67$, CNR: $28.16{\pm}0.50$) showed significantly higher values than those from 2D T1 FEE(SNR: $53.84{\pm}1.20$, CNR: $35.48{\pm}0.70$), p<0.05, The image quality of the 3D T1 THRIVE($2.63 {\pm}0.14$) was significantly superior to that with the 2D T1 FEE($2.2{\pm}0.05$), but 3D T1 THRIVE revealed several artifacts resulting in poor quality. In conclusion, The 3D T1 THRIVE technique with a 1.5 T resulting in improved SNRs, CNRs and image quality was demonstrated.

• Journal of the East Asian Society of Dietary Life
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• v.22 no.2
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• pp.290-297
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• 2012

The nutritional composition of thawed Hanwoo beef fed no mugwort (T0) and thawed Hanwoo beef fed mugwort (T1) were analyzed after freezing at $-20^{\circ}C$ for 12 months. Also the effect of feeding mugwort was investigated by comparing physicochemical and palatability changes by chilling the beef after thawing. There were no significant differences in general components of T0 and T1 Hanwoo beef. Among the minerals, there were no significant differences in the contents of Ca, P, K, Mg and Zn, however Na content in T0 and Fe content in T1 were significantly higher. The total amino acid did not show a significant difference but leucine was found to be higher in T0 than T1, and glycine, cysteine, histidine and arginine were higher in T1 than T0. Regarding fatty acids, stearic acid was higher in T0, while palmitoleic acid, oleic acid and total unsaturated fatty acid was significantly higher in T1. The hardness value became lower by chilling after thawing regardless mugwort consumption, and therefore the tenderness improved. The freshness, fat rancidity and antioxidant activity of thawed Hanwoo beef changed more slowly for T1 than T0, which indicates that feeding mugwort had a positive effect. There were no significant differences in taste, juiciness, tenderness or and palatability of the cooked beef between T0 and T1 for both 0 days and 3 days after thawing. However, the aroma of cooked T1 beef was significantly superior.

• Journal of the Korean Society of Radiology
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• v.13 no.7
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• pp.1035-1043
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• 2019

The object of is this research is to find out the optimal Tesla by evaluating SNR and CNR, after testing 1.5 T and 3.0 T. The randomly selected patients tested by nasopharynx MRI transmitted in PACS were applied to the research. Two MRI units(1.5 T, 3.0 T) was used for analyzing the data. As a method of analysis, in T1W highlighting and T1 fat removal images, we set up a certain area of interest and evaluated the SNR and CNR on tongue, spinal cord, masseter muscle, fat, parotid gland, and tumor tissue. We evaluated the SNR and CNR by quantitative analysis of six tissue, measuring the quality of images for uniform fat removal, magnetic sensitivity artifact on a four-point scale by qualitative analysis. The statistical significance of this date analysis was based on independent sample verification and was accepted when the P value was less than 0.05. As a result of analysis of both devices, 3.0 T was high in the quantitative evaluation, while 1.5 T was high in the qualitative evaluation. Considering the advantages and disadvantages of each device, and if the device is selected complementarily and applied to patients, it is believed that it will provide the optimal information.

• Investigative Magnetic Resonance Imaging
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• v.24 no.3
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• pp.141-153
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• 2020

Purpose: Myocardial T1 and T2 relaxation times are affected by technical factors such as cardiovascular magnetic resonance platform/vendor. We aimed to validate T1 and T2 mapping sequences using a phantom; establish reference T1, T2, and extracellular volume (ECV) measurements using two sequences at 3T in normal Koreans; and compare the protocols and evaluate the differences from previously reported measurements. Materials and Methods: Eleven healthy subjects underwent cardiac magnetic resonance imaging (MRI) using 3T MRI equipment (Verio, Siemens, Erlangen, Germany). We did phantom validation before volunteer scanning: T1 mapping with modified look locker inversion recovery (MOLLI) with 5(3)3 and 4(1)3(1)2 sequences, and T2 mapping with gradient echo (GRE) and TrueFISP sequences. We did T1 and T2 mappings on the volunteers with the same sequences. ECV was also calculated with both sequences after gadolinium enhancement. Results: The phantom study showed no significant differences from the gold standard T1 and T2 values in either sequence. Pre-contrast T1 relaxation times of the 4(1)3(1)2 protocol was 1142.27 ± 36.64 ms and of the 5(3)3 was 1266.03 ± 32.86 ms on the volunteer study. T2 relaxation times of GRE were 40.09 ± 2.45 ms and T2 relaxation times of TrueFISP were 38.20 ± 1.64 ms in each. ECV calculation was 24.42% ± 2.41% and 26.11% ± 2.39% in the 4(1)3(1)2 and 5(3)3 protocols, respectively, and showed no differences at any segment or slice between the sequences. We also calculated ECV from the pre-enhancement T1 relaxation time of MOLLI 5(3)3 and the post-enhancement T1 relaxation time of MOLLI 4(1)3(1)2, with no significant differences between the combinations. Conclusion: Using phantom-validated sequences, we reported the normal myocardial T1, T2, and ECV reference values of healthy Koreans at 3T. There were no statistically significant differences between the sequences, although it has limited statistical value due to the small number of subjects studied. ECV showed no significant differences between calculations based on various pre- and post-mapping combinations.