充分条件

In chapter 2, first of all,we characterize subspace V_0 of multiresultion analysis {V_j}_~ based on invariant subspace. Subsequently, we consider the equivalent conditions among orthogonal multiwavelet Ψ=(Ψ_1,Ψ_2,...Ψ_r)~T, subspace, basis and dimension of subspace, properties of filter function matrix P are dealt with.

第二章讨论了多尺度分析{V_j}_~中子空间V_0的性质，进而讨论了多尺度分析生成的多重正交小波Ψ=(ψ_1，ψ_2，…，ψ_r)~T和子空间V_0以及基和维数之间的等价关系，分析了滤子函数矩阵P的性质，最后给出了r阶矩阵函数P生成尺度函数Φ的充分条件。

The authors study the property of the active power/angle sub-matrix in power flow Jacobian matrix and the sufficient condition for the invertibility of the sub-matrix as well as the necessary condition for singularity are given.

探讨了潮流雅可比矩阵中有功/相角子矩阵的性质，给出了该矩阵可逆的充分条件及其奇异的必要条件。

To have at least one sheep constituted an irreducible minimum, a sufficient condition for the activity to occur.

至少要有一只羊构成不可减少的最小值，这是事件发生的充分条件。

We also introduce a new sufficient condition of the isochronous center.

给出了等时中心的一个新的充分条件。

Based on the speciality of the spectral function, we provide the sufficient conditions such that the spectral function are K—increasing (strictly K—increasing) in Euclidean Jordan algebra, and establish the relationship between the spectral scalar solution set and the K— efficient solution set of the Euclidean Jordan algebra vector optimization problem.

基于谱函数的特殊性，刻画了谱标量函数满足K-增性的充分条件，继而建立了谱标量解集与欧几里德若当代数向量优化问题K-弱有效解集和K-有效解集的包含关系。

In this paper,some aufficient conditions of existence of periodic orbits of the typeBC* L￣∞in unimodal function s with kneading sequences BC are given.

本文给出了捏制序列为BC的单峰函数具有BC＊L￣∞型周期轨道的几个充分条件。

S. dollars and the decline of the Cold War provided the economic and political environment for European countries to integrate. For encouraging the economic incentives, major European countries' ruling parties ended the policies of Keynesian School and constructed a relative convergence for a European-wide laissez-faire economic policy. However, the most important impetus for the building of the European Union is the less strengthened role of the European region in the global competitiveness. For yielding part of their sovereignties, EU countries can enlarge their capacity, and survive much stronger in a global World.

当然，促成欧洲联盟形成原因甚多，不过欧洲在全球化竞争中居明显劣势地位仍是欧洲整合再出发的最主要堆动力，本文指出各国政策汇合因素只能算是新区域整合的必要条件，仍非充分条件，最大因素仍应是欧洲各国为因应全球化桃战形成的新区域整合，也即籍助於让渡部分主权，欧盟各国因而更能扩大本身的职能，於此，两岸似亦应从中获得相当放示才是。

There are proved the theorems on convergence of sequences of the integral, which are similar to Levi's theorem, Fatou's theorem and so on in Lebesgue's integral.

4中引进了一类特殊的所谓λ次可加模糊测度空间，给出了这种测度空间上收敛性的Егоров定理和Riesz定理并得到了该空间上的模糊积分在积分号下取极限的一些充分条件。

Some important inequalities about Legendre polynomial are proposed and proved.

3提出并证明了一些关于Legendre多项式的重要的不等式并在此基础上研究了使网络全局指数稳定的充分条件。

In this paper,the periodic solutions of a class of monlinear systems are studied by using the method of Liapunov function.

本文运用Liapuunov函数方法，研究了一类非线性系统的周期解，得到了存在唯一渐近稳定的周期解的充分条件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。