山药中尿囊素的高效液相色谱分析方法研究

建立了山药中尿囊素的高效液相色谱分析方法。样品用甲醇－水（９０：１０,Ｖ／Ｖ）提取,在氨基柱上进行高效液相色谱分析,紫外检测波长２２４ｎｍ,流动相为甲醇－水（８０：２０,Ｖ／Ｖ）,相对标准偏差为２．０％（ｎ＝５）,尿囊素的回收率为９８．８％（ｎ＝４）。     

基于随机微分博弈的动态投入产出问题研究

基于W Leontief提出的动态投入产出模型,讨论了考虑随机因素的离散时间下的最优策略设计问题.利用博弈论的思想,把动态投入产出系统抽象为离散时间的博弈模型,运用鞍点均衡策略设计出求解该投入产出问题的新方法,为宏观经济决策提供依据.     

关于上三角矩阵代数之间经典伴随交换单射

令F是一个域,且|F|n+1,m,n为整数且m,n≥3.Tn(T_m)(F)是F上所有n×n(m×m)上三角矩阵的集合.本文中,刻画了从T_n(F)到T_m(F)的保经典伴随交换的单映射,给出了映射的表达式,对相应的方阵的工作是一个新的补充,所用方法是将其化归为相应的线性保持问题.     

Superconvergence of the direct discontinuous Galerkin method for convection‐diffusion equations

This paper is concerned with superconvergence properties of the direct discontinuous Galerkin (DDG) method for one‐dimensional linear convection‐diffusion equations. We prove, under some suitable choice of numerical fluxes and initial discretization, a 2k‐th and ‐th order superconvergence rate of the DDG approximation at nodes and Lobatto points, respectively, and a ‐th order of the derivative approximation at Gauss points, where k is the polynomial degree. Moreover, we also prove that the DDG solution is superconvergent with an order k + 2 to a particular projection of the exact solution. Numerical experiments are presented to validate the theoretical results. © 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 290–317, 2017     

The degree of biholomorphic mappings between special domains in ℂ<Superscript><Emphasis Type="Italic">n</Emphasis></Superscript> preserving 0

Let G _i be a closed Lie subgroup of U(n), Ω _i be a bounded G _i -invariant domain in C ⁿ which contains 0, and \(O{\left( {{\mathbb{C}^n}} \right)^{{G_i}}} = \mathbb{C}\), for i = 1; 2. If f: Ω₁ → Ω₂ is a biholomorphism, and f(0) = 0, then f is a polynomial mapping (see Ning et al. (2017)). In this paper, we provide an upper bound for the degree of such polynomial mappings. It is a natural generalization of the well-known Cartan’s theorem.     

A general extension theorem for cohomology classes on non reduced analytic subspaces

The main purpose of this paper is to generalize the celebrated L~2 extension theorem of Ohsawa and Takegoshi in several directions: The holomorphic sections to extend are taken in a possibly singular hermitian line bundle, the subvariety from which the extension is performed may be non reduced, the ambient manifold is K¨ahler and holomorphically convex, but not necessarily compact.     

大族长度为pq的伪随机k元序列

Mauduit与Sárkzy在一系列论文中研究了κ元序列的伪随机性.本文通过对模pq剩余类环Z_(pq)进行分割,进而结合离散对数的方法,构造了一大族长度为pq的伪随机κ元序列,并证明其具有很好的伪随机性.     

一类线性差分方程的亚纯解与一个亚纯函数分担3个值的唯一性

主要研究差分方程a_1(z)f(x+1)+a_0(z)f(z)=F(z)的一个有穷级超越亚纯解f(z)与亚纯函数g(z)分担0,1,∞CM时的唯一性问题(其中a_(z),a0(z),F(z)为非零多项式,且满足a_1(z)+a_0(z)■0),得到f(x)≡g(z),或f(z)+g(z)≡f(z)g(z),或存在一个多项式β(z)=az+b_0和一个常数a_0满足e~(a_0)≠e~(b_0),使得f(z)=(1-e~(β(x)))/(e~(β(x))(e~(a_o-b_0)-1))与g(z)=(1-e~(β(x)))/(1-e~(b_o-a_0)),其中a(≠0),b_0为常数.     

Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy

We introduce a high-order numerical scheme for fractional ordinary differential equations with the Caputo derivative. The method is developed by dividing the domain into a number of subintervals, and applying the quadratic interpolation on each subinterval. The method is shown to be unconditionally stable, and for general nonlinear equations, the uniform sharp numerical order 3 − $ν$ can be rigorously proven for sufficiently smooth solutions at all time steps. The proof provides a general guide for proving the sharp order for higher-order schemes in the nonlinear case. Some numerical examples are given to validate our theoretical results.     

基于复杂网络的并联式项目群结构脆弱性评估

运用复杂网络研究并联式项目群的结构脆弱性。将项目群中的任务用节点表示、任务之间的依赖关系用边表示,依据任务的工期确定点权、任务之间的依赖强度确定边权,则并联式项目群被抽象为一个有向加权网络。在分析并联式项目群网络拓扑特征的基础上,构建并联式项目群脆弱性评估模型,并对一个并联式项目群进行脆弱性评估。仿真结果表明该方法可以对并联式项目群脆弱性进行定量化评估、能够有效识别结构中的脆弱环节。本研究为保障项目群顺利实施、抵御风险提供了新的思路。