• Bulletin of the Korean Mathematical Society
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• v.22 no.1
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• pp.23-29
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• 1985

Let H be an arbitrary complex Hilbert space. We constructed an extension K of H by means of weakly convergent sequences in H and the Banach limit. Let .phi. be the faithful *-representation of L(H) on K. In this note, we investigated the relations between spectra of T in L(H) and .phi.(T) in L(K) and we obtained the following results: 1) If T is a compact operator on H, then .phi.(T) is also a compact operator on K (Proposition 6), 2) .sigma.$_{l}$ (.phi.(T)).contnd..sigma.$_{l}$ (T) for any operator T.mem.L(H) (Corollary 10), 3) For every operator T.mem.L(H), .sigma.$_{ap}$ (.phi.(T))=.sigma.$_{ap}$ (T))=.sigma.$_{ap}$ (T)=.sigma.$_{p}$(.phi.(T)) (Lemma 12, 13) and .sigma.$_{c}$(.phi.(T))=.sigma.(Theorem 15).15).

• 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.

• 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 the Korean Society for Industrial and Applied Mathematics
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• v.11 no.1
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• pp.13-30
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• 2007

In this paper we study the numerical solutions of the stochastic functional differential equations of the following form $$du(x,\;t)\;=\;f(x,\;t,\;u_t)dt\;+\;g(x,\;t,\;u_t)dB(t),\;t\;>\;0$$ with initial data $u(x,\;0)\;=\;u_0(x)\;=\;{\xi}\;{\in}\;L^p_{F_0}\;([-{\tau},0];\;R^n)$. Here $x\;{\in}\;R^n$, ($R^n$ is the ${\nu}\;-\;dimenional$ Euclidean space), $f\;:\;C([-{\tau},\;0];\;R^n)\;{\times}\;R^{{\nu}+1}\;{\rightarrow}\;R^n,\;g\;:\;C([-{\tau},\;0];\;R^n)\;{\times}\;R^{{\nu}+1}\;{\rightarrow}\;R^{n{\times}m},\;u(x,\;t)\;{\in}\;R^n$ for each $t,\;u_t\;=\;u(x,\;t\;+\;{\theta})\;:\;-{\tau}\;{\leq}\;{\theta}\;{\leq}\;0\;{\in}\;C([-{\tau},\;0];\;R^n)$, and B(t) is an m-dimensional Brownian motion.

• Journal of the Korean Applied Science and Technology
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• v.30 no.1
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• pp.127-138
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• 2013

This study investigated the effects of feeding the broilers that are exposed to extreme heat stress (EHS, $33{\pm}2^{\circ}C$) with extreme heat stress diet (EHSD) containing adequate amount of soy oil and other nutrients on their growth performance. 500 broiler chickens (Ross 308) were randomized into five dietary treatment groups according to a randomized block design on the day they were hatched. Each group was further divided into four repeat pens with each repeat pen comprising 25 chickens. The five dietary treatment groups were: T1 (Normal ambient condition + basal diet (BD), T2 (EHS +BCD), T3 (EHS + extreme heat stress diet (EHSD) prepared from BD with tallow replaced with soy oil and containing molasses 2%), T4 (EHS + EHSD prepared from BD with tallow replaced with soy oil and containing molasses 2% and methionine and lysine of 1.5 times greater quantities than in BD), and T5 (EHS + EHSD prepared from BD with tallow replaced with soy oil and containing molasses 2%, methionine and lysine of 1.5 times greater quantities than in BD, and vitamin C 200 ppm) with inverse lighting. The body weight gain of the broilers increased significantly in T4 and T5 as compared with that in T1 and T2. Weights of the lymphoid organ, bursa of Fabricius, thymus, and spleen were similar between all groups. Serum concentrations of IgG, IgG and IgM were higher in T4 and T5 than inT1 and T2, but the corticosterone concentration decreased significantly in them. In T4 and T5, Lactobacillus in the cecum increased, but Escherichia, coliform, and total aerobic bacteria decreased rather significantly, compared with those in T1 and T2. Contents of acetic acid, propionic acid and total SCFA were significantly higher in T4 and T5 than in T1 and T2.

• Journal of Digital Convergence
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• v.19 no.11
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• pp.351-357
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• 2021

IoT devices, which are used in various ways in distributed environments, are becoming more important in data transmitted and received from IoT devices as fields of use such as medical, environment, transportation, bio, and public places are diversified. In this paper, as a method to ensure the reliability of IoT data, an autoencoder-based IoT-linked processing technique is proposed to classify and process numerous data by various important attributes. The proposed technique uses correlation indices for each IoT data so that IoT data is grouped and processed by blockchain by characteristics for IoT linkage processing based on autoencoder. The proposed technique expands and operates into a blockchain-based n-layer structure applied to the correlation index to ensure the reliability of IoT data. In addition, the proposed technique can not only select IoT data by applying weights to IoT collection data according to the correlation index of IoT data, but also reduce the cost of verifying the integrity of IoT data in real time. The proposed technique maintains the processing cost of IoT data so that IoT data can be expanded to an n-layer structure.

• Journal of Life Science
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• v.25 no.8
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• pp.896-902
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• 2015

This study was conducted to evaluate the substitution effect of red beet powder on sodium nitrite in emulsion-type pork sausages, and to investigate the effect of the addition of red beet powder on the physicochemical characteristics of emulsion-type pork sausages at 10℃ for 6 weeks. The treatments were divided into five groups: Control (sodium nitrite 0.01%), T1 (sodium nitrite 0.005% + red beet powder 0.5%), T2 (sodium nitrite 0.005% + red beet powder 0.25%), T3 (red beet powder 0.5%), and T4 (red beet powder 0.25%). In the CIE^*I didn’t delete this asterisk (*) because it might be a marker for something you wish to add later, but please note that if there is no significance for the asterisk, it should be removed as a typographical error. color of emulsion-type pork sausages, the lightness value of the control was significantly higher than for the other groups (p＜0.05). The redness value was higher in T1, whereas the yellowness value was higher in the T3 and T4 groups compared with the others (p＜0.05). The pH values of emulsion-type pork sausages were significantly decreased in the T3 and T4 groups by the addition of red beet powder (p＜0.05). However, the DPPH radical-scavenging activity was higher in the T1 and T3 groups than in the others (p＜0.05). The residual nitrite ion was the highest in the control group (p＜0.05). Therefore, it is determined that red beet powder can substitute for nitrite as a natural colorant, and it has a slightly antioxidant effect in emulsion-type pork sausages.

• Food Science of Animal Resources
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• v.26 no.1
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• pp.70-77
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• 2006

This study was carried out to evaluate the quality characteristics on the two different muscles (Loin; T1, Ham; T2) from the Cervus elaphus andadensis (Elk deer). The water content and shear force of T1 were lower than that of T2. The protein content and water holding capacity were lower in T2 compared to the T1. In meat color, $L^*,\;a^*\;and\;b^*$ values were not different between T1 and T2. In the texture properties, there were significantly (p<0.05) differences in hardness, adhesiveness, gumminess and brittleness, but cohesiveness and springiness were not different significantly (p<0.05). In fatty acid analysis, myristic acid and linoleic acid of T2 were high (p<0.05) as 5.06 and 10.37% respectively, while palmitoleic acid of T1 were significantly (p<0.05) higher than that of T2. SFA and UFA were not different between the T1 and T2, although EFA of T1 was significantly (p<0.05) higher than that of T2. In sensory evaluation, acceptability of T2 in fresh meat showed the slightly high, but that of T2 in cooked meat was slightly low score. All samples were not significantly different in overall acceptability.

• Asian-Australasian Journal of Animal Sciences
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• v.26 no.11
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• pp.1569-1576
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• 2013

The study was conducted to evaluate the effect of vitamin E and zinc supplementation on energy metabolites, lipid peroxidation, and milk production in peripartum Sahiwal cows. For this, thirty-two pregnant dry Sahiwal cows were selected at sixty days prepartum and divided into four groups viz control, $T_1$, $T_2$, and $T_3$ of eight each. Group $T_1$ were supplemented with zinc at 60 ppm/d/cow, group $T_2$ were supplemented with vitamin E at 1,000 IU/d/cow and group $T_3$ were supplemented with combination of vitamin E at 1,000 IU/d/cow and zinc at 60 ppm/d/cow during d 60 prepartum to d 90 postpartum. Blood samples were collected on d -60, -45, -30, -15, -7, -3, 0, 3, 7, 15, 30, 45, 60, 90, and 120 with respect to day of parturition and analysed for glucose, non esterified fatty acid, and thiobarbituric acid reactive substance. Body condition score was maintained significantly better (p<0.05) in $T_3$ than in the control, $T_1$ and $T_2$ groups. Overall glucose level was higher (p<0.05) in $T_3$ than control, $T_1$, and $T_2$ groups. Levels of nonesterified fatty acid, and thiobarbituric acid reactive substance were lower (p<0.05) in $T_3$ than control, $T_1$, and $T_2$ groups. Milk yield was higher (p<0.05) in $T_3$ than control, $T_1$, and $T_2$ groups. In conclusion, the present study indicated that the supplementation of vitamin E and zinc in peripartum Sahiwal cows enhanced milk production by reducing negative energy balance.

• Journal of the Korean Mathematical Society
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• v.49 no.6
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• pp.1259-1271
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• 2012

We consider a tournament T = (V,A). For each subset X of V is associated the subtournament T(X) = (X,$A{\cap}(X{\times}X)$) of T induced by X. We say that a tournament T' embeds into a tournament T when T' is isomorphic to a subtournament of T. Otherwise, we say that T omits T'. A subset X of V is a clan of T provided that for a, $b{\in}X$ and $x{\in}V{\backslash}X$, $(a,x){\in}A$ if and only if $(b,x){\in}A$. For example, ${\emptyset}$, $\{x\}(x{\in}V)$ and V are clans of T, called trivial clans. A tournament is indecomposable if all its clans are trivial. In 2003, B. J. Latka characterized the class ${\tau}$ of indecomposable tournaments omitting a certain tournament $W_5$ on 5 vertices. In the case of an indecomposable tournament T, we will study the set $W_5$(T) of vertices $x{\in}V$ for which there exists a subset X of V such that $x{\in}X$ and T(X) is isomorphic to $W_5$. We prove the following: for any indecomposable tournament T, if $T{\notin}{\tau}$, then ${\mid}W_5(T){\mid}{\geq}{\mid}V{\mid}$ -2 and ${\mid}W_5(T){\mid}{\geq}{\mid}V{\mid}$ -1 if ${\mid}V{\mid}$ is even. By giving examples, we also verify that this statement is optimal.