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Further, under weakened conditions (without the assumption of continuity of objective function), the convergence theorem of EP and ES with the general mutation operators is also given.

针对一般的变异算子，在不要求目标函数连续的情况下，证明了保持最优个体的进化规划和进化策略，迭代产生的最优个体的函数值收敛到问题的最优值的ε-邻域的概率为1。

By using the theories and methods of impulsive,discrete and continuous dynamical system,arithmetic operators,optimiza-tion and numerical simulation,we study locally and globally asymptotieal stability of the boundary periodic solutions,and the permanence of the these systems.

以脉冲动力系统理论为基础，同时结合离散动力系统、连续动力系统、算子理论、优化理论等相关的理论和方法，在已有的研究成果的基础上，研究这些模型的边界周期解的局部和全局渐进稳定性、系统的持续生存、周期解的存在性与唯一性以及周期解的轨道稳定性等等。

In view of continuous function problems, it is first proved that the-ES algorithm based on uniform distribution converges in probability in a weaker condition by means of the central limit theorem. Then it is proved that the-ES algorithm which adopts the general continuous random variables as its variable operators converges in probability.

针对连续函数优化问题，利用中心极限定理，在较弱的条件下，首先证明了基于均匀分布的-ES算法依概率收效，然后给出了采用一般连续性随机变量作为变异算子的-ES算法依概率收效的证明。

In view of continuous function problems,it is first proved that the-ES algorithm based on uniform distribution converges in probability in a weaker condition by means of the central limit theorem.Then it is proved that the-ES algorithm which adopts the general continuous random variables as its variable operators converges in probability.

针对连续函数优化问题，利用中心极限定理，在较弱的条件下，首先证明了基于均匀分布的-ES算法依概率收敛，然后给出了采用一般连续性随机变量作为变异算子的-ES算法依概率收敛的证明。

In Section III, we evaluate the performance of the contour operators.

在第三节，我们评估了轮廓算子的性能。

This is an untouched measuring way. The cameras are calibrated in the way of RAC two steps, first. With the polynomial interpolation, the pictures catched from the steel plate are treated to detect the edge in subpixel with a cross window arithmetic operators, which can fit non uniform illumination, keep the edge character and do filter in a better way. Three-dimensional scenery could be rebuilt from the two-dimensional pictures with the methods of least square fitting and contradictorily clairvoyance. Thus, the distance and its variance of two points in the given position of the plate can be achieved. It is expected that this study can provide a new and useful tool to the research on the theory of distortion of line heating.

这种非接触的测量方式，采用RAC两步法对摄像机进行标定，然后对采集到的钢板图像进行分析处理，通过多项式插值的方法，采用具有保持边缘特征和滤波功能，且能适应非均匀照明的十字窗图像边缘检测算子进行象素级边缘检测，再用最小二乘拟合法和逆透视法对二维图像进行三维重建，便可测出钢板上给定点的距离及其变化值，以期为水火弯板的变形机理研究提供一种新的检测手段。

Then(1) There exist controvertible normal operators E, F, such thatand 0 is an isolated point in is an isolated point in ,(2) There exist a series of operator An, such that

存在可交换得正常算子El，使得 T＝AO－A＝EF＝FE 且 0是。p）的孤立卢、eso是口p）的孤立。点，＊存在一列算子＊＊使得 lAnAll－ 0，n、co

In this paper discuss the some properties of convergence of operators from Banach space to Banach space and from Banach space to general limear space.

这里讨论了Banach空间到Banach空间和Banach空间到一般赋范线性空间中算子列收敛的一些性质。

Some researcher give a modified algorithm which generates a convergent sequence if one of the operators is continuous.

虽然已有文献中这个算法得到了改进，但仍要求其子问题求解是精确的。

A new definition and a new iterative scheme are introduced and the result that the iterative sequence is strongly convergent to common zero point s of maximal monotone operators Ai(i=1,2,…,m) is obtained by using the techniques of Lyapunov functional and generalized projection operator,etc.

将引进一个新定义、给出一种新迭代算法，并利用Lyapunov泛函与广义投影算子等技巧，证明迭代序列强收敛于Ai的公共零点，i=1，2，…，m。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。