scholarly journals Volume entropy, weighted girths and stable balls on graphs

2007 ◽  
Vol 55 (4) ◽  
pp. 291-305 ◽  
Author(s):  
Florent Balacheff
2018 ◽  
Vol 195 ◽  
pp. 593-604 ◽  
Author(s):  
Guang-xin Liu ◽  
Ming Wu ◽  
Feng-rui Jia ◽  
Qiang Yue ◽  
He-ming Wang

2018 ◽  
Vol 47 (11) ◽  
pp. 1110002
Author(s):  
张帅 ZHANG Shuai ◽  
刘秉琦 LIU Bing-qi ◽  
黄富瑜 HUANG Fu-yu ◽  
余皓 YU Hao ◽  
陈一超 CHEN Yi-chao ◽  
...  

2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Yongsong Xu ◽  
Sha Wu ◽  
Yanchuan Wu ◽  
Muxin Gong ◽  
Zhimin Wang

Wuzhuyu decoction (WZYD) has been clinically used to treat migraine effectively since Eastern Han Dynasty of ancient China. However, its antimigrainic ingredients remain unclear. In present study, the antimigrainic ingredients of WZYD were explored and optimized in nitroglycerin-induced migraine rats through correlation analysis of decoction spectra-pharmacological effects and absorption spectra-pharmacological using entropy-weighted partial least squares regression method. The decoction spectra and absorption spectra were obtained through the determination of nine main ingredients in ten kinds of WZYDs and WZYDs’ single-pass intestinal perfusion samples using high performance liquid chromatography-diode array detector. The pharmacodynamics indexes related to migraine model rats were detected using high performance liquid chromatography method and kits after oral administration of WZYDs. Then, the key ingredients influencing indexes were achieved through the correlation analysis. And the optimization of key ingredients was acquired through uniform design experiment. The pharmacodynamic verification test was used to clarify the advantages of the optimized sample. The results showed that the final optimized sample, in which the concentrations of rutaecarpine, evodiamine, ginsendside Rb1, 6-gingerol, ginsendside Rg1, rutaevine, and limonin were 0.081, 0.565, 1.455, 0.159, 0.871, 0.178, and 0.009 mg·mL−1, respectively, provided the best comprehensive effect than another optimized sample and the best uniform design sample. Therefore, a new reliable method for rapidly recognizing and optimizing the effective constituents of WZYD treating migraine was established.


2016 ◽  
Vol 3 (1) ◽  
Author(s):  
Roberto Mossa

AbstractLet f : Y → X be a continuous map between a compact real analytic Kähler manifold (Y, g) and a compact complex hyperbolic manifold (X, g0). In this paper we give a lower bound of the diastatic entropy of (Y, g) in terms of the diastatic entropy of (X, g0) and the degree of f . When the lower bound is attained we get geometric rigidity theorems for the diastatic entropy analogous to the ones obtained by G. Besson, G. Courtois and S. Gallot [2] for the volume entropy. As a corollary,when X = Y,we get that the minimal diastatic entropy is achieved if and only if g is isometric to the hyperbolic metric g0.


2020 ◽  
Vol 39 (3) ◽  
pp. 3519-3543
Author(s):  
Xue Deng ◽  
Chuangjie Chen

The purpose of this paper is to solve the portfolio selection problem when historical data are unavailable. In this paper, the problem is viewed as a multi-criteria decision making (MCDM) problem under intuitionistic fuzzy circumstances, and the prospect theory is utilized to reflect decision makers’ psychological state, which is always bounded rational. Therefore, a new approach to solve MCDM problems is presented based on the following improvements. (a) The entropy-weighted method with extreme data resistance is proposed instead of weight function to deal with the weight of criteria, because weight stands for the decision maker’s preference of criteria rather than objective probability and should not be distorted. (b) A new entropy-weighted method with confidence degree is presented, which can not only describe the uncertainty of information each criterion provides but also reflect the decision maker’s confidence in the information. (c) To reduce the interference from extreme data, the median is selected as reference point instead of mean or extreme value. (d) Based on the distance measure, the intuitionistic fuzzy prospect value function is presented to capture decision makers’ psychological state. Finally, a novel model with prospect value constraint and risk preference is constructed to allocate investment ratios. For our proposed method and model, two numerical applications are given to verify their validity and the sensitivity analysis is carried out to illustrate their practical significance.


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