Two New Dihydroflavanoids from Patrinia vittosa Juss (II)

Two new dihydroflavonoids named villosin A and villosin B were obtained from the traditional Chinese medicinal herb Patrinia villosa Juss. Their structures were elucidated as (2S)-5, 2', 6'-trihydroxy-2", 2"-dimethylpyrano [5", 6": 6, 7]flavanone 1 and (2S, 3"S)-5, 2', 6'-trihydroxy-3"-γ, γ-dimethylallyl-2", 2"-dimethyl-3", 4"-dihydropyrano [5", 6": 6, 7] flavanone 2 by spectroscopic methods including UV, IR, HR-TOF- MS, 1D NMR and 2D NMR techniques.     

Nb^30＋,Na—like离子自电离速率和自电离分支比

用组态相互作用方法，研究了Ｎｂ３０＋，Ｎａ－ｌｉｋｅ２ｐ５３ｌ３ｌ′（ｌ，ｌ′＝０，１，２）内壳层电子激发跃迁的自电离速率和自电离分支比，结果表明自电离速率对自电离分支比的贡献最大。     

以L—B法制造超薄耐热聚合物薄膜的新发展

近年来随着微电子工业的发展,要求发展超薄耐热聚合物薄膜,尤其是聚酰亚胺(PI)超薄薄膜.L-B法能制造超薄PI薄膜.本文叙述了L-B法的发展,并介超了PI耐热聚合物的制法.     

一类单极等熵流体动力学半导体模型的松弛极限

对一类有短的动量松弛时间的多维等熵流体动力学半导体模型的极限问题进行了讨论．首先构造非线性问题的有初始层的近似解,进而,在归结问题的解存在且有合适的正则性的假设下,证明了原非线性问题的局部古典解的存在性,并且证明了这个解在归结问题解的存在时间区间内收敛到形式近似解．     

ASYMPTOTICAL STABILITY OF NON-AUTONOMOUS DISCRETE-TIME NEURAL NETWORKS WITH GENERALIZED INPUT-OUTPUT FUNCTION

In this paper, we first introduce the model of discrete-time neural networkswith generalized input--output function and present a proof of the existence of afixed point by Schauder fixed-point principle. Secondly, we study the uniformlyasymptotical stability of equilibrium in non-autonomous discrete--time neuralnetworks and give some sufficient conditions that guarantee the stability of itby using the converse theorem of Lyapunov function. Finally, several examplesand numerical simulations are given to illustrate and reinforce our theories.     

仿射内点既约投影Hessian算法解非线性约束优化

本文结合非单调内点回代技术,提供了新的仿射信赖域方法解含有非负变量约束和非线性等式约束的优化问题.为求解大规模问题,采用等式约束的Jacobian矩阵的QR分解和两块校正的双边既约Hessian矩阵投影,将问题分解成零空间和值空间两个信赖域子问题.零空间的子问题为通常二次目标函数只带椭球约束的信赖域子问题,而值空间的子问题使用满足信赖域约束参数的值空间投影向量方向.通过引入Fletcher罚函数作为势函数,将由两个子问题结合信赖域策略构成的合成方向,并使用非单调线搜索技术回代于可接受的非负约束内点步长.在合理的条件下,算法具有整体收敛性且两块校正的双边既约Hessian投影法将保持超线性收敛速率.非单调技术将克服高度非线性情况,加快收敛进展.     

一类最优投资随机控制模型的马氏链算法

现代金融经济中的很多问题可以构建成随机控制模型,而随机控制的求解却存在一定的困难.马氏链算法应该是一种有效的求解随机控制问题的数值方法.本文以Claus Munk的工作为基础,针对一类最优投资模型,具体确定了马氏链的转移矩阵并证明其满足算法收敛条件,并用MATLAB语言编成一个程序实现.     

INTERIOR POINT PROJECTED REDUCED HESSIAN METHOD WITH TRUST REGION STRATEGY FOR NONLINEAR CONSTRAINED OPTIMIZATION

§1　IntroductionIn this paper we analyze an interior point scaling projected reduced Hessian methodwith trust region strategy for solving the nonlinear equality constrained optimizationproblem with nonnegative constraints on variables:min　f(x)s.t.　c(x) =0 (1.1)x≥0where f∶Rn→R is the smooth nonlinear function,notnecessarily convex and c(x)∶Rn→Rm(m≤n) is the vector nonlinear function.There are quite a few articles proposing localsequential quadratic programming reduced Hessian methods…     

ICF分解实验中的平面调制靶

 介绍采用多次电镀Ni图形转移工艺将激光干涉法获得的耦合在光刻胶表面的起伏图形进行复制以获得Ni基图形转移模板, 并进一步将表面起伏图形复制到聚苯乙烯薄膜的表面, 以获得具有表面起伏图形的平面调制靶。为提高图形转移的精度、研究电镀图形转移工艺和聚苯乙烯薄膜图形复制工艺对表面起伏图形转移精度的影响, 以扫描电子显微镜对整个图形转移流程进行监控, 比较光刻胶表面图形, 一次、二次电镀转移图形和转移到聚苯乙烯上图形的形貌。     

A NONMOTOTONE ALGORITHM FOR MINIMIZING NONSMOOTH COMPOSITE FUNCTIONS

In this paper, we present a nonmonotone algorithm for solving nonsmooth composite optimization problems. The objective function of these problems is composited by a nonsmooth convex function and a differentiable function. The method generates the search directions by solving quadratic programming successively, and makes use of the nonmonotone line search instead of the usual Armijo-type line search. Global convergence is proved under standard assumptions. Numerical results are given.