查询词典 weak continuity

In these algorithms, because of no requirements on the continuity and differentiability of the objective function, they have strong adaptability for the uncertain data and the traits of agility, strong intuitiveness and randomness; they have been put into applications broadly in a short time so as to become active approaches for solving optimization problems.

由于这些方法不要求目标函数连续可微、对计算数据的不确定性有很强的适应能力，且具有灵活性好、直观性和随机性强等特点，因此在很短的时间内就得到了广泛应用，成为解决优化问题的一种有力工具，并展示出方兴未艾的强劲发展势头。

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。

Zhang's works. The integral method is proposed by Prof. Zheng in 1978. The method has a global convergence criterion, and only requires a the continuity of objective and constraint function.

郑权等于1978年提出了积分水平集求总极值的方法，其主要特点有判别总极值的收敛准则，且仅需假定目标函数与约束函数为连续的。

Through a test, questionnaire survey and interviews, this paper intends to investigate the images of the freshmen with different specialities about the concepts of limit, continuity andderivative of a function at a point x_0 and the relationship among them.

函数在点x_0处的极限、连续和导数三者概念，本文通过问卷调查和访谈，对不同专业的大学一年级本科生的概念表象和三者关系的理解水平进行了研究，而且对三个专业进行显著性差异比较。

Making use of the continuity of the shape function of moving least squares methods, this scheme can obtain fine fitting results and achieve multi-level continuous range image surface fitting, which are convenient for calculating surface characteristics of range image.

该方法充分利用最小二乘法形函数多阶连续的特点，能够保持在较高拟合精度的前提下获得深度图像曲面多阶连续的拟合结果，这种拟合结果为计算深度图像的曲面特性提供了便利。

Based on the viewpoint of set and denseness,this paper discusses some characteristics of the of continuity set and differentiable function set,and the structure of differentiable function sets,and demonstrates that there does not exist a continuous functional sequence {fn} which is convergent to Dirichlet function.

从集合观点和稠密性出发，讨论了连续函数和可导点集的一些特性及可导函数点集的构造，并证明了R上不存在收敛于Dirichlet函数的连续函数列{fn

In the proof,sufficient conditions are proved mainly by properties of K function and continuity of Lyapunov function:in necessary proof,we separately structure Lyapunov functions which satisfy the conditions of the theorems, such that the results establish.

在定理的证明中充分性主要利用K类函数严格单调递增和Lyapunov函数的连续性；必要性的证明中，分别构造Lyapunov函数，满足定理的条件，使得定理的结论成立。

The study shows the BP neural network model of hydro-turbine for s pecial discharge and special torque can be used to describe its nonlinear charac teristic and ensure the continuity of derivative function of special discharge. The convergence for hammer calculating is improved.

水轮机单位流量和单位力矩特性的BP神经网络模型能真实地表达水轮机的非线性特性，且解决了插值法的导数不连续问题，从而改善了水击计算的收敛性，为用于工程计算和科学分析的水轮机特性表达开辟了新的途径。

By combination of balance equations of electron energy, current continuity equation and distribution function of electron energy, a model to simulate the coaxial RF discharge is set up.

结果表明：对于同轴环形波导，存在三种形式的低耦合损失谐振腔结构，即半共焦结构、半共心结构和平行平面腔结构。

In this paper, we discuss two math problems:On the continuity of function which displays 0/0 type on certain point If China mathmaticiam Hua Luogeng did the work on the nonstandard number.

关于两个数学问题ⅰ呈0/0型函数的连续性问题；中国数学家在非标准数学方面是否有过工作的问题；对前者给出探讨性结论，对后者给出考证。

Tom: You are right, he worked hard all the time.

你是对的。他一直都是努力工作。

Take shortcomings,failures,and mockings of others as commonplace and a drive to complete oneself,hold your own opinion over the evalution and disscution divested from others,afterwards sink into the state of eliminate mistakes if any or encourge oneself being not being influenced by the sayinngs of others or having no ideas to do.

把缺点、失败及别人的耻笑等看成是一种常事，当成完善自己的动力，对别人的评价和议论自己心中有主见，做到&有则改之，无则加勉&，不为人言所左右或无所适从。