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11.
Yongzhi Bai Changyu Li Jinghui Zhao Peihe Zheng Yali Li Yongqi Pan Yingping Wang 《Chromatographia》2013,76(11-12):635-642
A high yield method to extract alkaloids from Aconitum coreanum using pulsed electric field (PEF) was developed, and the optimized extraction method compared to the other four extraction methods, consisting of cold maceration extraction, percolation extraction, heat reflux extraction (HRE), and ultrasonic-assisted extraction (UE). The experimental factors of the extraction methods such as electric field intensity, pulse frequency and solid-to-solvent ratio were evaluated. The content of Guanfu base A (GFA) was quantified by liquid chromatography coupled with electrospray ionization tandem mass spectrometry. The results indicated that the highest yield of GFA was 3.94 mg g?1 by PEF with conditions of 20 kV cm?1 electric field intensity, 8 pulse, 1:12 solid-to-solvent ratio, and 90 % ethanol–water solution. Meanwhile, the extraction time of PEF was <1 min, which is much less than the HRE of 10 h and even the newly used technique UE of 40 min. Moreover, the results of PEF extraction method showed obvious advantages, with the highest efficiency (120 L h?1), the shortest extraction time (0.5–1 min), and the lowest energy costs, which could be applied in the industrial production of alkaloids from A. coreanum. Therefore, the application of the PEF extraction method is a promising and constructive method for extraction of GFA. 相似文献
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In this paper, we obtain some rigidity theorems for compact Riemannian manifolds Ω with boundary M and nonnegative Ricci curvature; for instance, we prove that the existence of certain functions on M together with a lower bound c > 0 on the principal curvtures of M imply that Ω is an euclidean ball of radius $ {1\over c} $ . 相似文献
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In this paper, we develop the sufficient conditions for the existence of local and global saddle points of two classes of
augmented Lagrangian functions for nonconvex optimization problem with both equality and inequality constraints, which improve
the corresponding results in available papers. The main feature of our sufficient condition for the existence of global saddle
points is that we do not need the uniqueness of the optimal solution. Furthermore, we show that the existence of global saddle
points is a necessary and sufficient condition for the exact penalty representation in the framework of augmented Lagrangians.
Based on these, we convert a class of generalized semi-infinite programming problems into standard semi-infinite programming
problems via augmented Lagrangians. Some new first-order optimality conditions are also discussed.
This research was supported by the National Natural Science Foundation of P.R. China (Grant No. 10571106 and No. 10701047). 相似文献
19.
Changyu Xia 《Proceedings of the American Mathematical Society》1997,125(6):1801-1806
Let be an ()-dimensional compact Riemannian manifold with nonnegative Ricci curvature and nonempty boundary . Assume that the principal curvatures of are bounded from below by a positive constant . In this paper, we prove that the first nonzero eigenvalue of the Laplacian of acting on functions on satisfies with equality holding if and only if is isometric to an -dimensional Euclidean ball of radius . Some related rigidity theorems for are also proved.
20.
This paper studies eigenvalues of the drifting Laplacian on compact Riemannian manifolds with boundary (possibly empty) and provides a general inequality for them. Using the general inequality, we obtain universal inequalities for eigenvalues of the drifting Laplacian of Payne-Pólya-Weinberger-Yang type for manifolds supporting some special functions. We also obtain a lower bound for the first eigenvalue of the square of the drifting Laplacian on compact manifolds with boundary under some condition on the Bakry-Ricci curvature. 相似文献