解空间

The asymptotic behavior of the weak solution is obtained when an enthalpy function is made in L(superscript 2 subscript +) and a differential inequality is proved after using Cauchy inequality, Poincare inequality and the definition of weak solution.

在L(上标2 下标+)空间上构造了一个熵函数，利用带ε的Cauchy不等式和poincare不等式及弱解的定义，推导出了此函数满足的一个微分方程不等式，通过求解微分方程，证明了弱解的渐近性问题。

Firstly, we combine the theories of monotone operator and maximal monotone operator's Yosida approaching with domain method to prove the solution's existence of single input-output equation in R n in the similar economical backgrounds in present articles and then gain the solution's continuity by exterior approaching method,at last we give the responding economical meaning about the solution's existence and continuity.

就R n空间中消耗为单调单值型的投入产出方程，在现有文献类似的经济背景之下，利用单调算子的理论以及极大单调算子的Yosida逼近结合邻域逼近法给出了投入产出方程的解的存在性的证明，然后利用外部逼近法结合方程截断技巧证明了投入产出方程的解的连续性，最后给出了相对应于存在性和连续性的经济解释。

In this paper the topological properties of solution set of non-autonomous differential inclusions are discussed,and the fact that the mild solution set of Cauchy is a retract of a convex subset of a Banach space is proved.

讨论了半线性微分包含解的拓扑性质，证明了非自治情况下其适度解集是一Banach空间的凸子集的收缩核，且收缩映射连续依赖于初值。

From his point of view, the meaning of a word is subject to its own context. To free the word from its context is regarded as a countermovement of the process of the classic 'construction', and he names it 'deconstruction'. The 'deconstruction' provides a broad yet inane space for the individual word to acquire its intended meaning. Just as Hegel said when the void of a word inclines to infinity, its intended meaning approaches nothingness.

德里达认为，任何信息的寓意都从属于其自身的上下文关系，将信息从上下文关系中解放出来被看作是经典"结构"过程的一种反作用，称之为"解构"，"解构"为信息个体的自身寓意权力提供了一个辽阔但却是空泛的空间，正如黑格尔所说的，信息的空泛程度趋向于无限时，实际寓意趋向于零。

A way of TOPSIS for multiple target decision is applied to space with matrix elements,and we can make comprehensive evaluation of information system according to the relative distance between evaluation index matrix and best solution matrix and worst solution matrix.

再将多目标决策中的逼近理想解法应用到以矩阵为元素的空间中，按照与理想解和负理想解的相对接近度去对信息系统作出综合评价。

TOPSIS for multiple target decision is applied to space with matrix elements, and we can make comprehensive evaluation of enterprise economic benefit according to the relative distance between evaluation index matrix,best solution matrix and worst solution matrix.

将多目标决策中的逼近理想解法应用到以矩阵为元素的空间中，按照评价点与理想解和负理想解的相对接近度对企业经济效益作出综合评价。

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

First, we introduce the concept of polarizable Carnot group and give some new properties of its homogeneous norm. Then we construct a class of non-divergence equations as well as their nontrivial solutions. The failure of corresponding A-B-P type estimate and uniqueness to the Dirichlet problems in space~ follow.

首先引入可极化Carnot群的概念，给出了可极化Carnot群上齐次模的若干性质，然后构造了一类非散度型次椭圆方程及其非平凡解，由此证明此类方程Dirichlet问题的解在函数空间L~中不唯一，进而证明相应的Alexandrov-Bakelman-Pucci型估计不成立。

By level function,ε-subdifferential, normal cone and dual function, global optimal solutions for a convex function in locally convex topological vector space and a few of equivalent forms on it are obtained. Maximum points are characterized.

讨论局部凸拓扑向量空间中凸函数的全局最优解，用水平函数、ε-次微分及法向锥和共轭函数等工具刻画其最大值点，得到最优解的几个等价形式。

The optimality conditions of Kuhn-Tueker and Fritz John's saddle points of vector optimization for generalized subconvex-like mapping are presented. Lagrange dual mapping and relationships among optimality conditions of saddle points, efficient and weak efficient solutions for vector and scalar optimization are established.

在拓扑向量空间框架内研究广义锥次类凸映射的向量优化，给出了广义锥次类凸映射的Kuhn-Tucker和Fritz John鞍点的最优性条件和Lagrange对偶，建立鞍点最优性条件与向量优化有效解和弱有效解之间的联系。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失