函数的连续性

Monotone functions; functions of bounded variation and Borel measures; absolute continuity; differentiation and integration; convex functions; semicontinuity; Borel sets; properties of the Cantor set.

单调函数；囿变函数；绝对连续性；微分和积分；凸函数；半连续性；博雷尔集类；康托集的性质

In this paper, the connectivity axiom and the continuity axiom in Von Neumann-Morgenstern Rational behavior axioms are weakened. Then, a set of axiom for lattice ordered decision-making behavior, which can describe the decision-making behavior more rationally, is constructed. At last, the relative unique existence theorem for utility function is obtained.

根据偏好关系所具有的格序特征，将Von Neumann-Morgenstern理性行为公理体系中的连通性公理弱化为格连通性公理，并相应地弱化连续性公理，得到了一集能更为合理地描述具有"有限理性"的决策行为的格序决策行为公理体系，构造并证明了在格序决策行为公理体系之下，效用函数的存在惟一性定理。

Based on the series expansion technology in complex potential theory established by Muskhelishvili the complex stress functions can be estabished. By utilizing the continuity principle of the boundary condition and the characteristics of far field and according to the comparison of the coefficients of the terms on both sides of the equation with the same exponent the present problem can be transformed into solving of linear equation set.

根据Muskhelishvili复势理论的级数展开技术，构造了合适的各区复应力函数；然后，利用边界上位移、力的连续性条件和远场的性态，通过等式两边同次幂指数的系数比较，将问题转化为线性方程组的求解；结合叠加原理，获得混凝土在此情况下环向应力的解析解答。

Considering the two trail objective functions of objective trail and trail speed, and considering the output continuousness of real time, the thought of premeasure control was promoted and the parameters of pre-measure control were discussed. Good results were obtained in the simulation and experiment.

考虑目标轨迹和运动速度二个跟踪目标函数及实际控制输出的连续性，提出了预测控制的思想，并对预测控制的参数进行了分析和探讨，以水下机器人Twin-burger为控制对象，在计算机仿真和水池实验中都得到了与理论分析相一致的结果，验证了本文所提出的思想和方法的正确性。

On the basis of the idea of partition of unity, a discontinuous function and the two-dimensional asymptotic crack-tip displacement fields are added to the displacement interpolation formula to account for discontinuity of the contact surface and stress singularity near the contact surface tip respectively. Governing equations are deduced by virtual work principle and the integral of the discontinuous functions are calculated by Gauss integral through sub-elements cut by discontinuous surface.

该方法基于单位分解思想，在位移插值形式中引入不连续函数和裂尖渐近位移场函数分别反映接触面的不连续性和接触面端点的奇异性；根据虚功原理建立有限元支配方程，接触面不连续函数积分采用分区高斯积分的方法。

The domain derivative of the Navier-Stokes equations is given in the same manner as the Stokes equatons' domain derivative by reducing to homogeneous equations and proving continuous character and existence of Frechet derivative .

同样利用对非齐次方程的齐次化、证明目标函数对区域的连续性和其导数的存在性，同时给出了定常Navier-Stokes方程的区域导数完整的理论证明。

This paper first gives a continuous function, convergence, uniform convergence of function series, such as the definition of the concept, let us on the continuity and with the convergence of the initial understanding.

摘 要：本文首先给出函数连续性、收敛性、函数项级数一致收敛等概念的定义，让我们对连续性与收敛性有了初步的了解。

Based on the characteristics of CMAC neural network and fuzzy control,the novel controller of fuzzy CMAC neural network that reflects the fuzziness and continuity of human cerebella is discussed.

针对 CMAC神经网络和模糊控制的特性，给出了一种能反映人脑认知的模糊性和连续性的模糊 CMAC神经网络控制器，该控制器采用高斯函数作为模糊隶属函数，利用神经网络实现模糊推理并可对隶属函数进行实时调整，从而使其具有学习和自适应能力。

Simulation results indicate that this method can effectively suppress the Pseudo-Gibbs phenomena in the vicinities of the singular points of the signal due to the discontinuity of the hard threshold function. It also reserves the edge information of the signals under the condition of thorough elimination of noises.

仿真结果表明，采用基于Lipschitz指数的小波阈值去噪方法不仅有效抑制了由于硬阈值函数的不连续性而在信号奇异点附近产生的Pseudo-Gibbs现象，而且在更加彻底去噪的前提下很好地保留了信号的边缘信息。

Furthermore, due to the possible discontinuities of the activations functions, we introduce a suitable notation of limit to study the convergence of the output of the delayed neural networks.

此外，由于激励函数的不连续性，我们介绍了一个适当的极限记号来研究时滞神经网络输出的收敛性。我们的结论推广了相关文献的结果。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。