查询词典 normalization theorem

Innonmonotonic logic I,the compactness theorem cannot come into existence.

McDermott于1982提出了一组更强的非单调逻辑，称为非单调逻辑Ⅱ。

Since bounded closed sets in infinite dimensional space are notcompact generally,in order to employ Horn's fixed point theorem the compactness of operator Pis initially proved in section 3 in this chapter.

由于无限维空间的有界闭集一般不具备紧性，为了应用Horn不动点定理，我们先证明了Poincare算子P的紧性。

Figueiredo (2002) condition, using above compactness theorem we prove that the functional corresponding to a class of quasilinear system of elliptic equations satisfies condition.

建立了一个抽象的紧性定理，然后借此定理证明了对应于一类拟线性椭圆型方程组的泛函在比Boccardo和De。

The aim of this paper is to study the existence of solution and multiply results for quasilinear elliptic system in bounded domain and the whole space, semilinear elliptic equation in two dimension space, second order nonlinear difference equation by variational methods. The main results are listed in the following:1. An abstract compactness theorem is proved, and then, under weak Boccardo and De.

本文主要利用变分法，分别研究了有界区域和全空间上拟线性椭圆型方程组、二维空间上半线性椭圆型方程和二阶非线性差分方程问题的解与多重解的存在性，具体内容如下： 1。

With the help of the Mountain-Pass Theorem lacking Palais-Smale compactness condition (PSc condition and by adoption of the best attained function of Sobolev embedding, the paper proves the existence of nontrivial solutions of two classes of critical biharmonic equations on boundary conditions by overcoming serial difficulties caused by loss of compactness due to Sobolev embedding.

本文借助于没有 PS 条件的翻山引理，并利用 Sobolev 嵌入的最佳达到函数，克服了由于 Sobolev 嵌入失紧性而带来的系列困难，证明了含临界增长的两类双调和方程边值问题非平凡解的存在性。

Firstly, a comparison theorem is proved.

首先，证明了比较定理。

We also give one kind of multi-dimensional comparison theorem of Y.

我们先运用与EL.Karoui在[1]中使用的类似的方法得到了单边界情形K的多维比较定理。

And the comparison theorem of the optimal cost of descriptor systems is given.

并给出广义系统的最优代价比较定理。

In Chapter 2, the comparison theorem of ordinary differential equations is generalized to neutral functional differential equations.

第二章 将常微分方程的比较原理推广到中立型泛函微分方程。

This paper gives a proof of a comparison theorem on the viscosity solution of HJB Equation.

证明了与随机控制问题有关的动态规划方程粘性解的比较定理。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。