• Bulletin of the Korean Mathematical Society
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• v.58 no.1
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• pp.205-215
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• 2021

In [1], Beznosova proved that the bound on the norm of the dyadic paraproduct with b ∈ BMO in the weighted Lebesgue space L2(w) depends linearly on the Ad2 characteristic of the weight w and extrapolated the result to the Lp(w) case. In this paper, we provide the weighted norm estimates of the dyadic paraproduct πb with b ∈ VMO and reduce the dependence of the Ad2 characteristic to 1/2 by using the property that for b ∈ VMO its mean oscillations are vanishing in certain cases. Using this result we also reduce the quadratic bound for the commutators of the Calderón-Zygmund operator [b, T] to 3/2.

• The Pure and Applied Mathematics
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• v.24 no.4
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• pp.201-209
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• 2017

We prove convergence properties of the global solutions to the cooperative cross-diffusion system with the intra-specific cooperative pressures dominated by the inter-specific competition pressures and the inter-specific cooperative pressures dominated by intra-specific competition pressures. Under these conditions the $W^1_2-bound$ and the time global existence of the solution for the cooperative cross-diffusion system have been obtained in [10]. In the present paper the convergence of the global solution is established for the cooperative cross-diffusion system with large diffusion coefficients.

• Korean Journal of Fisheries and Aquatic Sciences
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• v.17 no.5
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• pp.405-413
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• 1984

As the previous paper of studios on lipids in fresh-water fishes, the present study was designed and analyzed to investigate the distribution of lipid components in various tissues of snake head, Channa argus. The free lipid was consisted of neutral lipid ($66.6{\sim}72.4\%$), phospholipid($17.9{\sim}20.4\%$) and glycolipid ($5.7{\sim}12.2\%$), while the bound lipid was consisted of phospholipid($28.6{\sim}50.6\%$), neutral lipid($13.2{\sim}36.1\%$) and glycolipid($3.8{\sim}22.8\%$). The neutral lipid was mainly consisted of triglyceride($62.00{\sim}90.20\%$) in free lipid, and esterified sterol & hydrocarbon($51.30{\sim}72.70\%$) in bound lipid. The phospholipid was mainly consisted of phosphatidyl ethanolamine($28.96{\sim}42.75\%$) and phosphatidyl choline ($27.85{\sim}41.06\%$) in free lipid, and phosphatidyl choline($47.18{\sim}52.45\%$) and phosphatidyl ethanolamine ($17.88{\sim}26.67\%$) in bound lipid. The major fatty acids of polar lipid in free and bound lipids were $C_{16:0}(21.03\%,\;22.62\%),\;C_{16:1}(8.70\%,\;30.1\%),\;C_{18:1}(20.62\%,\;12.11\%),\;C_{22:5}(3.21\%,\;6.50\%)\;and\;C_{22:6}(7.56\%,\;16.02\%)$, and these of neutral lipid in free and bound lipids were $C_{16:0}(18.98\%,\;19.12\%),\;C_{16:1}(9.04\%,\;13.49\%),\;C_{18:1}(22.94\%,\;11.61\%)\;and\;C_{22:5}(3.00\%,\;10.05\%)$, respectively. The unsaturation(TUFA/TSFA) of bound lipid was 3.99, and 2.5 times higher than 1.43 of free lipid. The contents of total essential fatty acid in free lipid were ranged $7.99\%\;to\;14.69\%$, and slightly higher than $6.57\%\;to\;8.25\%$ of bound lipid. In both polar and nonpolar lipids, w3 highly unsaturated fatty acid(w3-HUFA) contents of bound lipid were ranged $22.57\%\;to\;31.83\%$, and $2{\sim}3$ times higher than $7.88\%\;to\;14.03\%$ of free lipid. There were significant difference between the lipid and its fatty acid composition in free and bound lipids and/or in various tissues.

• Applied Biological Chemistry
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• v.29 no.4
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• pp.346-351
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• 1986

This study was carried out to investigate the changes in bound, free, and neutral lipid components of malt during malting, two-rowed barley. During malting, the temperature and relative humidity were $17^{\circ}C$ and 80%, respectively. The content of free lipids in both two-rowed barley and their malt was much higher than that of bound lipids. Decrease in the content of free lipids during malting was more prominent than that of bound lipids. The content of neutral lipids was 21.0mg/g-d. w. out of 27.9mg/g-d. w. of total lipids extracted from two-rowed barley. The content of neutral lipids decreased during malting. Triglyceride, free fatty acid and sterol ester were the principal components of neutral lipids. The content of triglyceride decreased during malting, but the content of free fatty acid and sterol ester increased. Linoleic, palmitic, oleic and linolenic acid were the principal fatty acid of free and bound lipids. The content of palmitic acid in free lipids increased during malting, but that of bound lipids decreased. The content of oleic acid in free lipids decreased. The principal fatty acids of neutral lipids were similar to those of free lipids. The content of palmitic acid increased during malting, but that of linoleic and stearic acid decreased.

• Bulletin of the Korean Mathematical Society
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• v.43 no.2
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• pp.443-459
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• 2006

The prey-predator system with a single cross-diffusion pressure is known to possess a local solution with the maximal existence time $T\;{\leq}\;{\infty}$. By obtaining the bounds of $W\array_2^1$-norms of the local solution independent of T we establish the global existence of the solution. And the long-time behaviors of the global solution are analyzed when the diffusion rates $d_1\;and\;d_2$ are sufficiently large.

• Journal of the Korean Mathematical Society
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• v.58 no.1
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• pp.29-44
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• 2021

The set D of column vectors of a generator matrix of a linear code is called a defining set of the linear code. In this paper we consider the problem of constructing few-weight (mainly two- or three-weight) linear codes from defining sets. It can be easily seen that we obtain an one-weight code when we take a defining set to be the nonzero codewords of a linear code. Therefore we have to choose a defining set from a non-linear code to obtain two- or three-weight codes, and we face the problem that the constructed code contains many weights. To overcome this difficulty, we employ the linear codes of the following form: Let D be a subset of ��2n, and W (resp. V ) be a subspace of ��2 (resp. ��2n). We define the linear code ��D(W; V ) with defining set D and restricted to W, V by $${\mathcal{C}}_D(W;V )=\{(s+u{\cdot}x)_{x{\in}D^{\ast}}|s{\in}W,u{\in}V\}$$. We obtain two- or three-weight codes by taking D to be a Vasil'ev code of length n = 2m - 1(m ≥ 3) and a suitable choices of W. We do the same job for D being the complement of a Vasil'ev code. The constructed few-weight codes share some nice properties. Some of them are optimal in the sense that they attain either the Griesmer bound or the Grey-Rankin bound. Most of them are minimal codes which, in turn, have an application in secret sharing schemes. Finally we obtain an infinite family of minimal codes for which the sufficient condition of Ashikhmin and Barg does not hold.

• Biotechnology and Bioprocess Engineering:BBE
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• v.2 no.2
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• pp.126-131
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• 1997

The biosorption and desorption of Cr, Cu and Al were carried out using brown marine algae Sargassum fluitans biomass, known as the good biosorbent of heavy metals. The content of alginate bound to light metals could be changed by physical and chemical pretreatment. The maximum uptake of Cr, Cu and Al was independent of the alginate content. The maximum uptaker of Al was two times(mole basis) than those of Cu and Cr. The aluminum-alginate complex was found in the sorption solution of raw and protonated biomass. Most of Cu, Al and light metals sorbed in the biomass were eluted at pH 1.1. However, only 5 to 10% of Cr sorbed was eluted at pH 1.1. The stoiceometric ion exchange between Cu and Ca ion was observed on Cu biosorption with Ca-loaded biomass. A part of Cr ion was bound to biomass as Cr(OH)2+ or Cr(OH)2+. Al was also bound to biomass as multi-valence ion and interfered with the desorbed Ca ion. The behavior of raw S. fluitans in ten consecutive sorption-desorption cycles has been investigated in a packed bed flow-through-column during a continuous removal of copper from a 35 mg/L aqueous solution at pH 5. The eluant used was a 1%(w/v) CaCl2/HC solution at pH 3.

• Journal of The Korean Astronomical Society
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• v.38 no.2
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• pp.257-260
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• 2005

We have mapped the W 3 giant molecular cloud in the $C^o\;^3P_1-^3 P_o$ ([CI]) line with the Mount Fuji Submillimeter-wave Telescope. The [CI] emission is extended over the molecular cloud, having peaks at three star forming clouds; W 3(Main), W 3(OH), and AFGL 333. The [CI] emission is found to be strong in the AFGL 333 cloud. We have also observed the $C^{18}O,\;CCS,\;N_2H^+$, and $H^{13}CO^+$ lines by using the Nobeyama Radio Observatory 45 m telescope. In the AFGL 333 cloud, we find two massive cores, which are highly gravitationally bound and have no sign of active star formation. The high [$C^o$]/[CO] and [CCS]/[$N_2H^+$] abundance ratios suggest that the AFGL 333 cloud is younger than the W 3(Main) and W 3(OH) clouds.

• Korean Journal of Fisheries and Aquatic Sciences
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• v.17 no.6
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• pp.477-484
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• 1984

The crude lipid contents in meat, skin and viscera of eel were 24.94, 20.00 and 14.96, respectively, and higher than the other fresh water fishes. The free lipid was consisted in order of neutral lipid(86.71~94.94), phospholipid(4.13~12.74) and glycolipid(0.63~1.22), and the bound lipid in order of phospholipid(51.74~75.21), neutral lipid(14.41~36.82) and glycolipid(5.12~7.51). The neutral lipid in free lipid was mainly consisted of TG(68.51~95.22), and that in bound lipid TG(36.54~39.94), ES & HC(17.20~18.01), and MG(15.81~18.11). The phospholipid in free lipid was mainly consisted of PC (32.40~56.08) and PE(18.71~31.09), while that in bound lipid PC (<42.51~67.90) and PS (23.37~34.49). The contents of major fatty acid of polar lipid in free and bound lipids were $C_{16:0}$(16.58, 14.10, $C_{18:0}$(12.44, 7.36), $C_{18:1}$(16.01, 15.78), $C_{20:4}$(10.01, 6.11) $C_{20:5}$(4.20, 8.67) and $C_{22:6}$(10.26, 18.32) and those of nonpolar lipid in free and bound lipids were $C_{16:0}$(22.31, 18.61), $C_{18:0}$(4.36, 5.69, $C_{18:1}$(36.30, 27.20) $C_{20:5}$(2.88, 2.38) $C_{22:5}$(6.38, 5.11) and $C_{22:6}$(1.20, 5.11). The total essential fatty acid(TEFA) content of polar lipid in meat was ranged from 17.33 to 22.88, and 2.0~3.0 times higher than that of nonpolar lipid, and the TEFA content of bound lipid in meat was ranged from 11.54 to 22.88, and 1.5~2.0 times higher than that of free lipid. The w3 highly unsaturated fatty acid(w3-HUFA) content of polar lipid in meat was ranged from 8.63 to 42.85, and higer than 11.48 to 14.42 of nonpolar lipid. Also the w3-HUFA content of bound lipid in meat was ranged from 13.35 to 42.85, and higher than 11.48 to 18.63 of free lipid. The w3-HUFA content in meat was higher than that in skin and/or viscera

• Geomechanics and Engineering
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• v.31 no.4
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• pp.385-393
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• 2022

Previous studies postulated insignificant capillary rise (h_c) effect above the water table (H_w) for unsaturated soils. In addition, these studies utilised dry unit weight above H_w. This paper, therefore, addresses the effect of these postulations on strength where the influence of h_c using a modified upper bound approach, Discontinuity Layout Optimization (UNSAT-DLO) for a simulated soil was predicted. Two different parametric studies to model passive earth pressure and bearing capacity problems are carried out to provide an insight into the effect of capillary rise on strength. Significant increase in strength, owing to unsaturated conditions, was obtained where the maximum increase was when suction slightly less or greater than the air entry suction. On the other hand, the results showed a negative effect of h_c. For example, up to 8.24% decrease in passive thrust (P_p) was obtained at H_w=0 m when h_c rose 1 m from 0 m. To put this into perspective, this was equivalent to a decrease of about 2° in 𝜙 at H_w=0 m and h_c =0 m in order to obtain the same result at h_c =1 m. For the bearing capacity problem, the effect was seen to be higher, up to 18.4% decrease in N_𝛾 was obtained when h_c rose from 0 m to 2.5 m at H_w =0 m. In addition, the results revealed a negative influence of assigning dry unit weight above H_w or h_c.. However, considerable increase in strength was obtained when unsaturated unit weight above h_c was assigned.