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A new germacranolide from Carpesium cernuum
CAO Jian-xin, PAN Yuan-jiang, XU Chong-yang, HUANG Li-xia, MA Shu-hong, DAI Chang-liang, GAO Wan-wan
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 7): 6-.
https://doi.org/10.1631/jzus.2005.A0640
As a part of our interest in biologically active germacranolides from the genus Carpesium (Compositae), we have investigated the constituents of Carpesium cernuum. This paper reports the isolation and structural elucidation of a new germacranolide, cernolide A (Compound 1), from the herb. The structure of Compound 1 was determined as 2a,3b-dihydroxy-9-angeloxygermacra-4-en-6,12-olide on the basis of spectral evidence. The skeleton of Compound 1 was elucidation by IR, MS, 1H and 13C NMR, COSY, HMQC and HMBC experiments. The stereochemistry of Compound 1 was deduced by ROESY spectral data. Finally, the procedures of extraction and isolation were described in detail.
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Stability analysis of discrete-time BAM neural networks based on standard neural network models*
ZHANG Sen-lin, LIU Mei-qin
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 7): 14-.
https://doi.org/10.1631/jzus.2005.A0689
To facilitate stability analysis of discrete-time bidirectional associative memory (BAM) neural networks, they were converted into novel neural network models, termed standard neural network models (SNNMs), which interconnect linear dynamic systems and bounded static nonlinear operators. By combining a number of different Lyapunov functionals with S-procedure, some useful criteria of global asymptotic stability and global exponential stability of the equilibrium points of SNNMs were derived. These stability conditions were formulated as linear matrix inequalities (LMIs). So global stability of the discrete-time BAM neural networks could be analyzed by using the stability results of the SNNMs. Compared to the existing stability analysis methods, the proposed approach is easy to implement, less conservative, and is applicable to other recurrent neural networks.
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Two kinds of B-basis of the algebraic hyperbolic space*
LI Ya-juan, WANG Guo-zhao
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 7): 24-.
https://doi.org/10.1631/jzus.2005.A0750
In this paper, two new kinds of B-basis functions called algebraic hyperbolic (AH) B¨|zier basis and AH B-Spline basis are presented in the space Gk=span{1,t,¼,tk-3,sinht,cosht}, in which K is an arbitrary integer larger than or equal to 3. They share most optimal properties as those of the B¨|zier basis and B-Spline basis respectively and can represent exactly some remarkable curves and surfaces such as the hyperbola, catenary, hyperbolic spiral and the hyperbolic paraboloid. The generation of tensor product surfaces of the AH B-Spline basis have two forms: AH B-Spline surface and AH T-Spline surface.
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On Tur¨¢n type inequality with doubling weights and A* weights
YU Dan-sheng, WEI Bao-rong
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 7): 26-.
https://doi.org/10.1631/jzus.2005.A0764
Let Hn be the set of real algebraic polynomials of degree n, whose zeros all lie in the interval [-1,1]. The well known Tur¨¢n type inequalities tell us that for f(x)ÎHn, it holds This note deals with the weighted Tur¨¢n type inequalities with the weights having inner singularities under Lp norm for 0
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More general results on mixed extreme value distributions*
Jiang Yue-xiang
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 7): 27-.
https://doi.org/10.1631/jzus.2005.A0769
The sequences {Zi,n, 1£i£n}, n³1 are multi-nomial distribution among i.i.d. random variables {X1,i, i³1}, {X2,i, i³1}, ?-, {Xm,i, i³1}. The extreme value distribution GZ(x) of this particular triangular array of i.i.d. random variables Z1,n, Z2,n, ?-, Zn,n is discussed. A new type of not max-stable extreme value distributions which are Fr¨|chet mixture, Gumbel mixture and Weibull mixture has been found if Fj,?-,Fm belong to the same MDA. Whether mixtures of different types of extreme value distributions exist or not and the more general case are discussed in this paper. We found that GZ(x) does not exist as mixture forms of the different types of extreme value distributions after we investigated all cases.
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21 articles
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