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THE SADDLE THEOREM FOR MULTIOBJECTIVE GENERALIZED FRACTIONAL PROGRAMMING PROBLEMS WITH SET FUNCTIONS
Liu, San-Ming,Feng, En-Min 한국전산응용수학회 2006 Journal of applied mathematics & informatics Vol.22 No.1
In this paper, multiobjective generalized fractional programming problems with set functions are considered, in which objective functions are maximum of finite fractional set functions. At first, optimality conditions are established. Then, saddle existence theorem is proved.
Modulation Instability of an Intense Laser Beam in an Unmagnetized Plasma
San Qiu Liu,Wei Tang,Xiao Qing Li 한국물리학회 2011 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.59 No.4
The modulation instability of an intense elliptically polarized laser beam propagating in an unmagnetized plasma is investigated. Adopting a generalized Karpman method, a three-dimensional nonlinear equation is shown to govern the laser field. Conditions indicating the occurrence of modulation instability and its temporal growth rate, taking into account the longitudinal and the transverse perturbations, are obtained analytically, and the modulated growth rate is shown to be maximal for any fixed wave number when the initial laser field is coplanar with the perturbations. In the weakly relativistic region, the growth rate increases with increasing laser pump intensity and grows significantly when the laser approaches the critical surface.
FSI-IDEALS AND FSC-IDEALS OF BCI-ALGEBRAS
Liu, Yong-Lin,Liu, San-Yang,Meng, Jie Korean Mathematical Society 2004 대한수학회보 Vol.41 No.1
The notions of FSI-ideals and FSC-ideals in BCI-algebras are introduced. The characterization properties of FSI-ideals and FSC-ideals are obtained. We investigate the relations between FSI-ideals (resp. FSC-ideals) and other fuzzy ideals, between FSI-ideals (resp. FSC-ideals) and BCI-algebras, and show that a fuzzy subset of a BCI-algebra is an FSI-ideal if and only if it is both an FSC-ideal and a fuzzy BCI-positive implicative ideal.
Zhong-Liu Zhou,Wen-Qing Yin,Xiao-Peng Zou,Dan-Ying Huang,Cui-Liu Zhou,Lian-Mei Li,Ke-Cheng Chen,Zi-Ying Guo,San-Qing Lin 한국응용생명화학회 2014 Applied Biological Chemistry (Appl Biol Chem) Vol.57 No.6
The extraction and solvent partition of the leaves ofEucalyptus citriodora, and repeated column chromatography for n-BuOH fraction yielded a new flavonoid glycoside, citrioside C (1),along with three known flavonoid glycosides (2-4). The latter wereidentified with kaempferol-3-O-β-D-glucopyranosyl (12)-α-L-rhamnoside(2), kaempferol-3-O-α-L-rhamnoside (3), and quercetin-3-O-α-Lrhamnoside(4). Their chemical structures were identified on thebasis of spectroscopic data analyses including NMR, MS, UV, andIR. All constitutents were isolated for the first time from the leavesof Eucalyptus citriodora. The potential antivirus activity of all theisolated compounds was evaluated. Compound 4 showed potentantiviral activity against respiratory syncytial virus with 50%inhibition concentration (IC50) value of 1.9 μg/mL and selectiveindex value of 9.8.
$FSI$-ideals and $FSC$-ideals of BCI-algebras
Yong Lin Liu,San Yang Liu,Jie Meng 대한수학회 2004 대한수학회보 Vol.41 No.1
The notions of FSI-ideals and FSC-ideals in BCI-algebras areintroduced. The characterization properties of FSI-ideals andFSC-ideals are obtained. We investigate the relations betweenFSI-ideals (resp. FSC-ideals) and other fuzzy ideals, betweenFSI-ideals (resp. FSC-ideals) and BCI-algebras, and show thata fuzzy subset of a BCI-algebra is an FSI-ideal if and only ifit is both an FSC-ideal and a fuzzy BCI-positive implicativeideal.
Zhou, Zhong-Liu,Yin, Wen-Qing,Zou, Xiao-Peng,Huang, Dan-Ying,Zhou, Cui-Liu,Li, Lian-Mei,Chen, Ke-Cheng,Guo, Zi-Ying,Lin, San-Qing 한국응용생명화학회 2014 Applied Biological Chemistry (Appl Biol Chem) Vol.57 No.6
The extraction and solvent partition of the leaves of Eucalyptus citriodora, and repeated column chromatography for n-BuOH fraction yielded a new flavonoid glycoside, citrioside C (1), along with three known flavonoid glycosides (2-4). The latter were identified with kaempferol-3-O-${\beta}$-$\small{D}$-glucopyranosyl (12)-${\alpha}$-$\small{L}$-rhamnoside (2), kaempferol-3-O-${\alpha}$-$\small{L}$-rhamnoside (3), and quercetin-3-O-${\alpha}$-$\small{L}$-rhamnoside (4). Their chemical structures were identified on the basis of spectroscopic data analyses including NMR, MS, UV, and IR. All constitutents were isolated for the first time from the leaves of Eucalyptus citriodora. The potential antivirus activity of all the isolated compounds was evaluated. Compound 4 showed potent antiviral activity against respiratory syncytial virus with 50% inhibition concentration ($IC_{50}$) value of $1.9{\mu}g/mL$ and selective index value of 9.8.
Phenolic glycosides from the rhizomes of Cyperus rotundus and their antidepressant activity
San-Qing Lin,Zhong-Liu Zhou,Hua-lin Zhang,Wen-Qing Yin 한국응용생명화학회 2015 Applied Biological Chemistry (Appl Biol Chem) Vol.58 No.5
Depression is the most common psychiatric comorbidity in patients. Searching for antidepressant drugs from natural products is very important for the treatment of this disease. The ethanol extract and its fractions of Cyperus rotundus were evaluated for antidepressant activities in mice by our group. The aim of this study was to investigate the potential active components of C. rotundus. The extraction and solvent partition of the rhizomes of C. rotundus, and repeated column chromatography for n-BuOH fraction yielded three new phenolic glycosides, rotunduside D (1), rotunduside E (2), and rotunduside F (3). Their chemical structures were identified on the basis of spectroscopic data analyses including NMR, MS, UV, and IR. The potential antidepressant activity of all the isolated compounds was evaluated. In the despair mice models, rotunduside F (3) showed significant antidepressant activity at the dosage of 50 mg/kg, which was close to the positive control fluoxetine (20 mg/kg).
Liu, Shude,Yin, Ying,San Hui, Kwan,Hui, Kwun Nam,Lee, Su Chan,Chan Jun, Seong Elsevier 2019 ELECTROCHIMICA ACTA Vol.297 No.-
<P><B>Abstract</B></P> <P>Rational design of electrode structures has been recognized as an effective strategy to improve the electrochemical performance of electrode materials. Herein, we demonstrate an integrated electrode in which nickel hydroxide (Ni(OH)<SUB>2</SUB>) nanosheets are deposited on both sides of chemical vapor deposition-grown graphene on Ni foam, which not only effectively optimizes electrical conductivity of Ni(OH)<SUB>2</SUB>, but also accommodates the structural deformation associated with the large volume change upon cycling. The synthesized Ni(OH)<SUB>2</SUB>/graphene/Ni(OH)<SUB>2</SUB>/Ni foam electrode exhibits a high specific capacity of 991 C g<SUP>−1</SUP> at a current density of 1 A g<SUP>−1</SUP>, which is higher than the theoretical specific capacity of additive sum of Ni(OH)<SUB>2</SUB> and graphene, and retains 95.4% of the initial capacity after 5000 cycles. A hybrid supercapacitor is constructed by using Ni(OH)<SUB>2</SUB>/graphene/Ni(OH)<SUB>2</SUB>/Ni foam as the positive electrode and activated carbon on Ni foam as the negative electrode, which achieves a maximum energy density of 49.5 W h kg<SUP>−1</SUP> at a power density of 750 W kg<SUP>−1</SUP>, and excellent cycling lifespans with 89.3% retention after 10000 cycles at 10 A g<SUP>−1</SUP>.</P>