不连续点

The relationship between the class of continuous functions satisfying Lipschitz condition and the class of polar-functions of generalized Brownian Sheet is obtained.

讨论了N指标d维广义Brownian Sheet极函数的特征，得到了满足Lipschitz条件的连续函数类与广义Brownian Sheet的极函数类之间的关系，给出了广义BrownianSheet不动点的Hausdorff维数和Kolmogorov下熵指数的一个不等式。

All the known results about analytic solutions for iterative functional differential equations are obtained by the majorant series and the Banach fixed point theorem.

本文的第三章首先利用不动点定理得到了一类迭代泛函微分方程高阶光滑解的存在性、唯一性和关于已知函数的连续依赖性定理，得到了与常微分方程类似的结论。

Equilibrium; continuous selection; the fixed point theorem; variational inequality; minimax theorem; H-space

基础科学，数学，数学分析均衡；连续选择；不动点定理；变分不等式；极小极大定理； H-空间

The corner-collision bifurcation of piecewise smooth systems is addressed.

推导了零时间不连续映射并给出角点碰撞分岔的分段映射。

The grazing bifurcation point is found in terms of the conditions for the existence of grazing orbit.The bifurcation diagrams are gained through previous piecewise smooth map and numerical calculation,they are similar structurally.

利用擦边分岔条件找到了此系统的擦边分岔点，利用推导的擦边分岔的分段映射和直接数值仿真获得不连续分岔图，两者得到的分岔图在结构上是类似的。

Instead of single cone in product space X × X.

上来考虑相应的紧连续映射的不动点问题。

In chapter 2, we firstly introduce the model of a discrete-time neural network with generalized input-output function. The model generalizes the input-output function in transiently chaotic neural network to a class of continuous, differentiable and monotone increasing functions. Secondly we study the uniformly asymptotical stability of equilibrium in the non-autonomous model. Finally, several examples and numerical simulations are given to illustrate and reinforce our theories. In chapter 3, we firstly introduce a specific class of discrete-time neural network models with sinusoidal activation function.

在本文的第二章中，首先介绍了一类具有广义输入输出函数的非自治离散神经网络模型，该模型把瞬时混沌神经网络模型中的输入输出函数推广到了一般的单调递增且连续可微的函数；其次，利用Schauder不动点原理和利用Lyapunov函数逆定理依次证明了模型平衡点的存在性和该模型在时变权值下的一致渐近稳定性；最后，对几个具体的例子进行数值模拟，数值模拟的结果更好地说明了我们的结论。

The model generalizes the input-output function in transiently chaotic neural network to a class of continuous, differentiable and monotone increasing functions. Secondly we study the uniformly asymptotical stability of equilibrium in the non-autonomous model. Finally, several examples and numerical simulations are given to illustrate and reinforce our theories. In chapter 3, we firstly introduce a specific class of discrete-time neural network models with sinusoidal activation function.

在本文的第二章中，首先介绍了一类具有广义输入输出函数的非自治离散神经网络模型，该模型把瞬时混沌神经网络模型中的输入输出函数推广到了一般的单调递增且连续可微的函数；其次，利用Schauder不动点原理和利用Lyapunov函数逆定理依次证明了模型平衡点的存在性和在时变权值下的一致渐近稳定性；最后，对几个具体的例子进行数值模拟，数值模拟的结果更好地说明了我们的结论。

Mathematics A part of a curve that is separated, as by discontinuities or extreme points.

线图表中的一段：由不连续或极值点分隔的曲线的一部分

The molecular form of isolated human, deer, and pig Hp was further characterized by SDS-PAGE and Western blot.

以不连续胶体电泳与西方点墨法描绘纯化后的蛋白质分子量形式。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。