充分条件

First, for state estimation problem of the linear stochastic systems with uncertainties in both the state matrix and the noise matrix, a new satisfactory estimator is constructed with stochastic theory, which can guarantee that estimator error system with bounded perturbed model parameter satisfies the constraint indexes that is given. Thus a sufficient condition of solving satisfactory estimation is obtained; secondly, the algorithm of designing satisfactory estimator is presented by analysis.

首先，根据满意控制思想，针对一类在状态矩阵及噪声矩阵中均含有不确定性的随机系统，设计一种满意估计器，使预测误差系统在模型的参数发生扰动时，依然满足预先给定的设计约束指标，得到了满意估计问题求解的充分条件；然后根据分析给出了满意估计器设计的算法。

However, its much harder to do the similar research under the pitman criterion.

本文正是在Pitman准则下，讨论了最有代表性的统一有偏估计以及约束统一有偏估计的优良性，给出了Pitman意义下各种有偏估计优于传统最小二乘估计的充分条件。

Some sufficient conditions for a planar graph to be class 1 are obtained through these bounds of edge number.

给出了平面图为第一类图的边数的一些上界，并给出了平面图为第一类图的一些充分条件。

The chattering mode in the dynamic process of the unforced switched systems isinvestigated. The relations between the rotation directions of trajectory, the increase ordecrease the polar radius of trajectory, and the convergent chattering mode are revealed.

分析了二阶切换线性系统的收敛震颤现象与相轨迹的旋向以及相轨迹极半径增减趋势之间的关系，进而得到忽略切换延迟时二阶切换线性系统出现收敛震颤模态的充分条件。

The necessary conditions and sufficient conditions for a set to be polar are listed.

具体内容如下：·研究了N指标d维广义Brownian Sheet的极集的性质，得到了其极集的必要条件与充分条件。

Furthermore, the sufficient conditions for convergence were given when the coefficient matrix A is a Hermite positive definite matrix or Mmatrix respectively.

给出了系数矩阵分别为Hermite正定矩阵和协矩阵时算法收敛的充分条件。

The sufficient condition of the existance and unigueness of solution is that the original main matrix is positive.

本文通过对这类数值计算问题的解的唯一性及存在性的讨论，表明了解存在且唯一的一个充分条件是原系数矩阵正定。

As the inversion and compression attack includes the question relating to solving thepreimage from image of function, a subdivision algorithm for solving preimage of function withbounded derivative based on Lagrange mean value theorem is proposed firstly.

由于逆推压缩攻击方法涉及混沌映射的求逆，针对复杂混沌映射求逆困难的问题，运用拉格朗日中值定理，我们提出了求解导函数有界的函数原象的分割算法，给出了使分割算法计算复杂性上界达到最小的充分条件。

The influences of derivations and adjoint ideal semigroups of prime ring with characteristic 2 on the prime ring are discussed, and several sufficient conditions for the prime ring being communitive ring or S4-ring and some necessary conditions for a class of prime rings being communitive rings are obtained.

先给出了一个利用导子和理想来判断素环的可交换性结论的证明，然后讨论了特征为2的素环的导子和归联理想半群对这个素环的影响，得到了素环成为交换环或者S4-环的几个充分条件及一类素环成为交换环的必要条件。

By means of the comparison principle and the method of upper and lower solution,the corresponding sufficient conditions under which the models have a solution or no solution are obtained. If other parameters are given,the controllable parameters such as the population of release and the times of impulsive harvest are estimated respectively.

基于比较定理和上下解方法，分别获得了模型有解或无解的充分条件，估计了相关可控参数，即脉冲投放模型中的投放量以及脉冲收获模型中的脉冲收获次数。

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％。