查询词典 be sufficient for

And then some ellipses that AUGR estimator is better than the OLS estimator and AUGL estimator is better than the OLS estimator are given, respectively.Second, the definition of the almost unbiased unified biased estimator is proposed. This definition includes the familiar almost unbiased estimators in literatures, and it is the unified expression of the familiar almost unbiased estimators. Followed the biased and variance are compared of AUUB estimator and the unified biased estimator, respectively. AUUB estimator has smaller bias than UB estimator and the variance of AUUB estimator is between the variance of UB estimator and 4 times of the variance of UB estimator. Finally the properties of AUUB estimator are discussed. The conclusion is gained that there are parameters made AUUB estimator is better than OLS estimator in terms of their mean square error. The sufficient and necessary condition that AUUB estimator is admissible is given. The ellipse is given that AUUB estimator is

然后给出了几乎无偏统一有偏估计的定义，该定义包括了文献中常见的几乎无偏估计，实现了常见几乎无偏估计的统一表达式；接下来我们比较了几乎无偏统一有偏估计与统一有偏估计的偏度与方差，得出了几乎无偏统一有偏估计比统一有偏估计有较小的偏度，几乎无偏统一有偏估计的方差介于统一有偏估计的方差与统一有偏估计的方差的四倍之间的结论；最后我们对统一有偏估计的主要性质作了讨论，证明了存在参数K，S使得几乎无偏统一有偏估计在均方误差意义下优于最小二乘估计的结论，给出了几乎无偏统一有偏估计为可容许估计的充要条件，还给出了在均方误差阵意义下几乎无偏统一有偏估计优于最小二乘估计的椭球。

The sufficient conditions for the existence of the local bifurcations of two semi-trivial solutions (θr,0) and(0,θd) are proved,and stability of the local bifurcate solution from semi-trivial solution(θr,0) is obtained.

利用局部分歧理论及线性稳定理论，证明了两个半平凡解(rθ，0)和(0，θd)局部分歧解存在的充分条件，并且证明了半平凡解(rθ，0)产生的局部分歧解是无条件稳定的。

In view of this algorithm, the sufficient conditions ensuring that the bifurcated periodic solutions are orbitally asymptotically stable and unstable on the center manifold are obtained.

通过这一显式算法，给出了分支周期解在中心流形上轨道渐近稳定和不稳定的充分条件。

For general discrete bilinear system, this paper proposed a stability criteria which is sufficient for systems with linear feedback. The smallest attracting range is also obtained. Based on the criteria, a simple control law is proposed to guarantee the uniformly asymptotically stability of zero state.

对于一般离散双线性系统，本文提出了系统在线性反馈下的稳定性判据和最小吸引域，并给出了一种简单的控制方案，保证闭环系统在原点的一致渐近稳定性。

The return of a dishonoured Bill to the drawer or an indorser is, in point of form, deemed a sufficient notice of dishonour

这些名义上和形式上的肤浅事物都不能改变帝国实际上是希腊文化的这个事实。

The necessary and sufficient condition, which fundamental and total biorthogonal system in Banach spaces is Cesaro basis, is given.

利用BK空间的理论讨论了具有给定的完全双正交系的Banach空间X的乘子空间M的性质，给出了Banach空间X上基本完全的双正交系成为Cesaro基的充要条件。

Utilizing the theories of BK spaces and multiplier spaces, this paper discuss the necessary and sufficient condition which fundamental and total biorthogonal system in Banach spaces which don t contain copy of is unconditional basis.

利用BK空间的理论讨论了具有给定的完全双正交系的Banach空间X的乘子空间M的性质，给出了Banach空间X上基本完全的双正交系成为Cesaro基的充要条件。

Utilizing the theories of BK spaces and multiplier spaces, this paper discuss the necessary and sufficient condition which fundamental and total biorthogonal system in Banach spaces which don t contain copy of is unconditional basis .

本文利用BK空间和乘子空间的性质，讨论了在不含C0 的C0py的Banach空间上基本完全的双正交系成为无条件基的充要条件。

Concretely, starting from a short sequence primal masks possessing Hermite interpolation properties, a necessary and sufficient conditions such that primal masks satisfies the preassigned order of sum rules are established, then a dual masks with short support, symmetry and any preassigned order of sum rules is constructed, it follows that two multiscaling functions are obtained and then multiwavelets and dual multiwavelets are derived. From which, a general design framework is obtained for constructing biorthogonal multiwavelets system with multiplicity 2r associated with Hermite interpolation functions.

具体的，从具有Hermite插值性质的短序列尺度符号出发，首先建立它具有指定阶和规则的充要条件，然后构造出短支撑、对称的具有指定阶和规则的对偶尺度符号，从而得到一对对偶的尺度函数，再构造出相应的双正交多小波。

In this paper, we study a necessary and sufficient condition that complete bipartite graph exists factors.

讨论了完全偶图存在 [1，2 ]因子的充分必要条件，并给出了 [1，2 ]因子的计数

Terry Norris of the Georgia Sheriffs' Association cites a man who was convicted of statutory rape two decades ago for having consensual sex with his high-school sweetheart, to whom he is now married.

来自佐治亚州治安联盟（the Georgia Sheriffs' Association）的Terry Norris举了个例子，一名男子因20年前与其高中女友发生了性关系而被处以强奸罪。

Orders and for local governments to carry out a land bank on a special insurance policy.

11命令和地方政府进行了土地储备的一个特殊的保险政策。