Convergence of Yang-Mills-Higgs flow for twist Higgs pairs on Riemann surfaces

We consider the gradient flow of the Yang-Mills-Higgs functional of twist Higgs pairs on a Hermitian vector bundle(E,H)over Riemann surface X.It is already known the gradient flow with initial data(A0,φ0)converges to a critical point(A∞,φ∞).Using a modified Chern-Weil type inequality,we prove that the limiting twist Higgs bundle(E,d′′A∞,φ∞)coincides with the graded twist Higgs bundle defined by the HarderNarasimhan-Seshadri filtration of the initial twist Higgs bundle(E,d′′A0,φ0),generalizing Wilkin’s results for untwist Higgs bundle.     

广义幂级数代数的滤链维数

In this paper, we study the properties of generalized power series modules and the filtration dimensions of generalized power series algebras. We obtain that [[△S,≤]]- gfd([[AS,≤]]) =△-gfd(A) if A is an R-module where R is a perfect and coherent commutative algebra, and(R, ≤) is standardly stratified.     

A．G．滤环上Holonomic模特征簇的刻划

给出了Ａ．Ｇ．滤环上ｈｏｌｏｎｏｍｉｃ模的特征簇刻划，推广了微分算子环和Ａ．Ｒ．滤环中的相应结果．     

具有多重非线性的非牛顿多方渗流方程的整体存在性与非存在性

考虑了一个具有多重非线性的抛物模型中,非线性扩散项、非线性反应项和非线性边界流三种非线性机制之间的相互作用.通过构造自相似上解和自相似下解,获得了临界整体存在性曲线和临界Fujita曲线.     

流动注射在线过滤稀释原子吸收测定药物制剂中安乃近的方法研究

提出了测定安乃近的FI-AAS分析新方法。此法基于在适当酸度条件下安乃近将Cu^2 还原为Cu^ ，新生成的Cu^ 与SCN^-生成沉淀，经流动注射在线过滤稀释，以AAS法测定反应剩余Cu^2 的量来间接测定安乃近的含量。安乃近的浓度在2-100mg/L范围内吸收值呈良好的线性关系。回收率为97.0%-102.5%，采样频率为100次/h。     

流动注射在线过滤稀释原子吸收法测定诺氟沙星

提出了流动注射在线过滤稀释原子吸收法测定诺氟沙星的新方法。药物浓度在0．1－0．8mg/mL范围符合比耳定律，回收率为97．9％－102．4％，相对标准偏差为1．7％。方法可用于诺氟沙星胶囊测定。     

Method of Probabilistic Convolutions for Interpreting Data of Electromagnetic Logging

A new method is proposed for processing the data of electromagnetic logging in wells. The method is based on the hydrodynamic analysis of drilling mud filtrate penetration into the oil stratum, determination of the field of electrical resistances of the near-well zone with its subsequent averaging by convolutions with a kernel in the form of a logarithmically normal distribution of probe sensitivity.     

Electrospun composite nanofibers for functional applications

In this article an outline of studies conducted to date utilizing the process of electrospinning is presented. This overview for the first time focuses on research of composite nanofiber synthesis and their applications. The phenomenon of bringing materials to the nanometer scale not only improves their properties, but also creates entirely new ones. The electrospinning technique is a simple and versatile method that offers a time and cost effective production of strategic combinations of polymer and composites nanofibers useful for numerous applications highlighted in this review. The future prospects of the field are also examined.     

Hermite and Smith normal form algorithms over Dedekind domains

We show how the usual algorithms valid over Euclidean domains, such as the Hermite Normal Form, the modular Hermite Normal Form and the Smith Normal Form can be extended to Dedekind rings. In a sequel to this paper, we will explain the use of these algorithms for computing in relative extensions of number fields.

     

Classes Caractéristiques de Fibrés Feuilletés, Holomorphes ou Algébriques

Résumé L'objet de cet article est de montrer comment laK-théorie multiplicative peut être utilisée pour définir de nouvelles classes caractéristiques secondaires de fibrés vectoriels munis de structures supplémentaires, dans des contextes géométriques variés. On y développe des exemples reliés à des travaux antérieurs divers.

---

The purpose of this paper is to show how multiplicativeK-theory may be used to define new secondary characteristic classes for vector bundles with additional structures, in various geometrical contexts. Many examples are developed which are related to previous works.