查询词典 uniform continuity

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。

In this paper,making use of hyperplane method,we improve the proof of the separation theorem;On the other hand,we use a new method of moving neighborhood to simplify the proof for the continuity of a subconvex function defined on a convex in a normed linear space.

在巴拿赫空间理论中，Hahn-Banach泛函延拓定理作为泛函分析三大基本定理之一，分隔性定理是Hahn-Banach定理的重要应用，本文利用"超平面"的方法，改进了一个分隔性定理的证明；另外，本文利用邻域的"平移"方法，给出了定义在赋范线性空间内的凸集上的次凸泛函连续性的简捷证明。

The study shows the neural network model of hydro turbine can describe its nonlinear characteristic really and ensures the continuity of its derivative function, so improved the convergence for hammer calculating and is a better description of hydro turbine hill chart for science research and engineering design.

利用所述方法建立的水轮机特性神经网络模型能真实地表达水轮机的特性，并且解决了插值法的导数不连续问题，从而确保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。并利用所建立的数学模型，开发了基于MATLAB的可视化软件仿真平台。

By changing the problem of downlink power control to a combination optimization one with simple form, analyzing the continuity and derivative of energy function, and explaining the particularity of obtaining derivatives, the feasibility of solving the problem using chaotic simulated annealing algorithm was explicated.

通过将下行链路功率控制归结为形式简单的组合优化问题，并适当分析能量函数的连续性与可导性，以及求导过程的特殊性，说明了利用混沌模拟退火法解决此问题的可行性。

The rate of fall is dependent on the continuity of the scale function in time domain. Furthermore, it relates with the multiplicity of zero point at ω=π of the amplitude spectrum of the low pass filter. The distribution of zero points was investigated thoroughly. From the above statement, the dominant interval is deduced to be [0, 2π].

衰减性取决于尺度函数的连续性，进一步它与低通滤波器在ω＝π处零点重数有关；详细讨论了零点的分布及其重数；由零点的分布和衰减性推出尺度函数的幅值谱主导区间为[0，2π]；ω＝0处极大值性态与低通滤波器在该处性态相同。

From this we can see, the writer of deep national crisis into an opportunity for Britain to worry about obsession夷狄of shame, but as a historian, he emphasized the historical the continuity of their social function and embodies the history.

由于统治者上层的苟安求和以及辽、金实力的不断发展壮大，北宋在与辽、金的对峙中日渐处于劣势，最终不得不在金人的步步相逼之下退居江南，成为一个偏安的小朝廷。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。