The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds

For a sequence of approximate Dirac-harmonic maps from a closed spin Riemann surface into a stationary Lorentzian manifold with uniformly bounded energy, we study the blow-up analysis and show that the Lorentzian energy identity holds. Moreover, when the targets are static Lorentzian manifolds, we prove the positive energy identity and the no neck property.

     

Pharmacodynamic Differential Serum Chromatography for Identifying the Pharmacodynamic Material Basis of a Traditional Chinese Medicine

The modernization and marketing of traditional Chinese medicine is difficult primarily because its pharmacodynamic material basis has not been elucidated. Moreover, a central problem is the lack of effective research methods and strategies. After >20 years of study, here, we propose the theory of pharmacodynamic differential serum chromatography. The method described here can be used to identify (and possibly develop) effective pharmacodynamic materials. In light of the theory, we identified hydroxysafflor yellow A (HSYA) to be the effective pharmacodynamic material of Carthamus tinctorius L. (safflower). With the help of the methodology described here, the modernization and understanding of traditional Chinese medicine may be accelerated.

     

关于三圈图的拉普拉斯谱半径的一些结果

边数等于点数加二的连通图称为三圈图.~设 ~$\Delta(G)$~和~$\mu(G)$~
分别表示图~$G$~的最大度和其拉普拉斯谱半径,设${\mathcal
T}(n)$~表示所有~$n$~阶三圈图的集合,证明了对于~${\mathcal
T}(n)$~的两个图~$H_{1}$~和~$H_{2}$~,~若~$\Delta(H_{1})>
\Delta(H_{2})$ ~且 ~$\Delta(H_{1})\geq \frac{n+7}{2}$,~则~$\mu
(H_{1})> \mu (H_{2}).$ 作为该结论的应用,~确定了~${\mathcal
T}(n)(n\geq9)$~中图的第七大至第十九大的拉普拉斯谱半径及其相应的极图.     

超疏水膜的制备及其在膜蒸馏过程中的应用

超疏水材料具有超高的憎水性和自清洁特性,因而在解决材料的润湿和污染方面具有广泛的应用前景。膜蒸馏是一种以多孔疏水膜两侧蒸汽压差为推动力的膜分离过程,是脱盐和水回用中的重要技术。然而膜润湿和污染问题是导致膜蒸馏过程出水品质下降和应用过程稳定性差的关键。本文以膜蒸馏过程为背景,系统介绍了蒸馏过程的发展状况和超疏水膜材料的制备方法,以及超疏水膜在膜蒸馏中的应用,探讨了超疏水膜材料在膜蒸馏过程中的优势,同时指出了其不足和可能的解决方法,以期为膜蒸馏材料的发展提供研究方向和思路。     

Regularity for weakly Dirac-harmonic maps to hypersurfaces

We prove that a weakly Dirac-harmonic map from a Riemann spin surface to a compact hypersurface is smooth. Supported by IMPRS “Mathematics in the Sciences” and the Klaus Tschira Foundation.     

股权结构对信息技术产业上市公司绩效的影响研究

选取中国2012-2016年A股信息技术产业不同股权性质上市公司为样本,采用Pearson相关性检验和SPSS多元回归分析方法,探讨股权结构对公司绩效的影响,并提出对策建议.研究发现:信息技术类上市公司的两权分离率对股权结构和公司绩效的关系具有调节效应;股权制衡度与信息技术类国有企业绩效有显著正相关关系;信息技术类民营企业两权不分离时,股权集中度与绩效有正相关关系,两权分离时的股权制衡度与绩效有负相关关系.     

On geometric structure of generalized projections in C~*-algebras

Let H be a Hilbert space and A ■ B(H) be a C~*-subalgebra. This paper is devoted to studying the set gP of generalized projections in A from a differential geometric point of view, and mainly focuses on geodesic curves. We prove that the space gP is a C~∞ Banach submanifold of A, and a homogeneous reductive space under the action of Banach Lie group U_A of A. Moreover, we compute the geodesics of gP in a standard fashion, and prove that any generalized projection in a prescribed neighbourhood of p∈gP can be joined with p by a unique geodesic curve in gP.