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HYPERSURFACES OF INFINITE TYPE WITH NULL TANGENTIAL HOLOMORPHIC VECTOR FIELDS
Thu, Ninh Van Korean Mathematical Society 2017 대한수학회지 Vol.54 No.4
In this paper, we introduce the condition (I) (cf. Section 2) and prove that there is no nontrivial tangential holomorphic vector field of a certain hypersurface of infinite type in ${\mathbb{C}}^2$.
HYPERSURFACES OF INFINITE TYPE WITH NULL TANGENTIAL HOLOMORPHIC VECTOR FIELDS
Ninh Van Thu 대한수학회 2017 대한수학회지 Vol.54 No.4
In this paper, we introduce the condition $(\mathrm{I})$ (cf. Section \ref{S5}) and prove that there is no nontrivial tangential holomorphic vector field of a certain hypersurface of infinite type in $\mathbb C^2$.
Artocarpus nigrifolius: Cytotoxic and Antibacterial Constituents
Tran Minh Hoi,김영호,Ha Van Anh,Nguyen Thi Thanh Huong,Nguyen Van Tuyen,Le Thi Tu Anh,Nguyen Thanh Tra,Ba Thi Cham,Nguyen Thi Thu Ha,Pham Thuy Linh,Doan Duy Tien,Phan Van Kiem,Ninh Khac Ban,Lidziya Kukha 한국응용생명화학회 2013 Applied Biological Chemistry (Appl Biol Chem) Vol.56 No.6
Six known compounds including α-amyrin 3-acetate (1), β-sitosterol (2), betulinic acid (3), friedelan-3-one (4),artochamin B (5), and 2-C-methyl-D-erythritol 4-O-α-D-glucopyranoside (6) were isolated from the stem barks and leaves of Artocarpus nigrifolius (Moraceae) for the first time. Their structures were identified by spectroscopic methods as well as comparison with literatures. Cytotoxicity and antibacterial activity of 1-6 were evaluated. Results showed that artochamin B (5)possessed the highest cytotoxicity towards MCF7, Lu, HepG2,and KB cell lines with IC50 values of 4.59, 20.00, 3.60, and 1.18μg/mL, respectively. It also inhibited the growth of Gram-positive bacteria (Bacillus subtilis, Staphylococcus aureus), whereas inactive on the growth of both Gram-negative bacteria and yeast.
Artocarpus nigrifolius: Cytotoxic and Antibacterial Constituents
Hoi, Tran Minh,Anh, Ha Van,Huong, Nguyen Thi Thanh,Tuyen, Nguyen Van,Anh, Le Thi Tu,Tra, Nguyen Thanh,Cham, Ba Thi,Ha, Nguyen Thi Thu,Linh, Pham Thuy,Tien, Doan Duy,Kiem, Phan Van,Ban, Ninh Khac,Kukha The Korean Society for Applied Biological Chemistr 2013 Applied Biological Chemistry (Appl Biol Chem) Vol.56 No.6
Six known compounds including ${\alpha}$-amyrin 3-acetate (1), ${\beta}$-sitosterol (2), betulinic acid (3), friedelan-3-one (4), artochamin B (5), and 2-C-methyl-D-erythritol 4-O-${\alpha}$-D-glucopyranoside (6) were isolated from the stem barks and leaves of Artocarpus nigrifolius (Moraceae) for the first time. Their structures were identified by spectroscopic methods as well as comparison with literatures. Cytotoxicity and antibacterial activity of 1-6 were evaluated. Results showed that artochamin B (5) possessed the highest cytotoxicity towards MCF7, Lu, HepG2, and KB cell lines with $IC_{50}$ values of 4.59, 20.00, 3.60, and $1.18{\mu}g/mL$, respectively. It also inhibited the growth of Gram-positive bacteria (Bacillus subtilis, Staphylococcus aureus), whereas inactive on the growth of both Gram-negative bacteria and yeast.
A NOTE ON THE BOUNDARY BEHAVIOUR OF THE SQUEEZING FUNCTION AND FRIDMAN INVARIANT
Kim, Hyeseon,Mai, Anh Duc,Nguyen, Thi Lan Huong,Ninh, Van Thu Korean Mathematical Society 2020 대한수학회보 Vol.57 No.5
Let Ω be a domain in ℂ<sup>n</sup>. Suppose that ∂Ω is smooth pseudoconvex of D'Angelo finite type near a boundary point ξ<sub>0</sub> ∈ ∂Ω and the Levi form has corank at most 1 at ξ<sub>0</sub>. Our goal is to show that if the squeezing function s<sub>Ω</sub>(𝜂<sub>j</sub>) tends to 1 or the Fridman invariant h<sub>Ω</sub>(𝜂<sub>j</sub>) tends to 0 for some sequence {𝜂<sub>j</sub>} ⊂ Ω converging to ξ<sub>0</sub>, then this point must be strongly pseudoconvex.