ON MATRIX UNITARILY INVARIANT NORM CONDITION NUMBER

1.IntroductionSince1984,severalchinesemathematicianshaveobtailledmanyresultsboutmatrixoperatornormcondition.umbe.[ll'12'18].Twokindsmatrixconditionnllmbers[9]are:(1)IfAECoxsisnonsingular,thellunlberK.(A)~IIAll.llA--'if.iscalledtheor--normconditionnumberof…     

蜂王浆的营养保健功能

从第三代保健品功能因子的要求出发，试图从功能因子的角度综述蜂王浆的众多营养保健功能蜂王浆的营养保健功能众多，主要是延缓衰老、抗癌、增强机体免疫力、调节血液、美容等作用．     

A FOUR-POINT BOUNDARY VALUE PROBLEM FOR NONLINEAR EQUATION

1IntroductionThemethodofupperandlowersolutionshasbecomeastandardtoolforstudyingthesolvabilityoftwo-pointboundaryvalllcproblemsassociatedwitllsecond-ordernonlineardifferentialequations.Inrecent,years,Rachunkovd[1,2,3]studiedthefour--pointboundaryvalueprobl…     

On a certain two-sided symmetric condition in magnetic field analysis and computations

A special two-sided condition for the incremental magnetic reluctivity is introduced which guarantees the unique existence of both the weak and the approximate solutions of the nonlinear stationary magnetic field distributed on a region composed of different media, as well as a certain estimate of the error between the two solutions. The condition, being discussed from the physical as well as the mathematical point of view, can be easily verified and is fulfilled for various magnetic reluctivity models used in electrotechnical practice.     

Modifications of the Wolfe Line Search Rules to Satisfy Second-Order Optimally Conditions in Unconstrained Optimization

The line search method incorporating the Wolfe conditions is modified to ensure that a descent algorithm terminates in a finite number of steps at an approximate stationary point where the second-order conditions of optimality are satisfied. A simple procedure based on conjugate directions is proposed to determine directions of negative curvature.     

分段函数的分类及分离型分段函数与初等函数之间的关系

将分段函数划分为连结型分段函数 ,分离型分段函数和它们的组合形式三种类型 ,得到了分离型分段函数是初等函数的充分必要条件 ,完整地解决了分离型分段函数与初等函数之间的关系 ,并且给出了初等函数在其任一截取集上的限制函数 (截取函数 )仍然是初等函数的结果     

加强中国革命史教学中的国情教育

本文就加强革命史教学中国情教育的战略意义,以及对怎样认识和把握国情,提出了一些想法。在此基础上,探讨了国情教育的基本内容和贯彻方法,来达到解决学生当前深层次认识问题的目的。     

最小二乘解存在的充分必要条件

本文提出了当观测值的权矩阵为正定或半正定的前提下，其最小二乘解存在的充分必要条件为并以间接平差为例验证了该结论的正确性。     

户式中央空调设计与分析——探讨武汉某汽车展厅空调设计

使用户式中央空调设备也需要正确的计算和设计。文中介绍了汽车展厅的负荷计算与系统划分，采用麦克维尔家用中央空调风管机，设计了一套灵活的空调系统与排风系统，并较全面地比较了户式空调与传统中央空调的不同之处，供相关工程及设计人员参考。     

关于多目标数学规划的最优性条件

本文讨论定义于Ｂａｎａｃｈ空间的多目标数学规划，得到一些ε－最优解和（弱）有效解的必要条件，充分条件和必要充分条件。