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In the second chapter,we study the convergence of two points Secant method and single point Secant method under the condition of the radius Lipschitz condition with the L average.

在第二章中，我们研究了两点弦截法和单点弦截法在关于L平均的弱Lipschtiz条件下的收敛性。

Ordinaryly, with local Lipschitz condition but not the linear growth condition, we can get the existence of local solutions.

因此，寻求线性增长条件以外的整体解存在条件，具有基本的重要性。

It should be pointed out that this necessary and sufficient condition isessentially one of the main results in author's doctoral thesis, but, here weonly need the weaker locally Lipschitz condition for both system vectorfield and control vector field.

另外，我们应该指出的是此充要条件本质上是作者博士论文中的主要结果之一，但本文中对系统向量和控制向量都只需要更弱的局部Lipschitz条件。

This paper presents the design methods of nonlinear observer in accordance with nonlinear term satisfying Lipschitz condition and dissatisfying Lipschitz condition based on single variable transmission.

本文以单变量传输为前提，基于观测器理论，针对混沌系统的非线性项满足Lipschitz条件和不满足Lipschitz条件两种情况，分别给出了非线性观测器的设计方法。

We present the design methods of nonlinear observer in accordance with nonlinear term satisfying Lipschitz condition and dissatisfying Lipschitz condition based on single variable transmission.

以单变量传输为前提，基于观测器理论，针对混沌系统的非线性项满足Lipschitz条件和不满足Lipschitz条件两种情况，分别给出不同的非线性观测器设计方法。

In chapter l,we summarize not only Newton iteration and some deformed methods, but also the various corrections of Lipschitz condition since Kanorovich condition was put forward.

全文分为四个部分：第一章：主要总结了Newotn迭代和它的几种变形方法，以及综述了自Kantorovich条件被提出来后，人们对其中的条件给出的各种修正。

Under the conditions that the system without impulse effect satisfies the one-side Lipschitz condition, and the impulsive terms satisfy the corresponding Lipschitz conditions, a sufficient condition which can be easily checked the stability of the analytic solution is obtained.

在不受脉冲影响的原方程满足单边Lipschitz条件，及脉冲项满足相应的Lipschitz条件的情况下，给出了一个容易判别的解析解渐近稳定的充分条件。

The macroscopic condition in this text that develop from the Chinese Internet sets out, analyzing the opposite comparison advantage of the electronic commerce business enterprise systematically, the small appliance profession opens the characteristics of the exhibition B2C electronic commerce and its in economicly livingly of function, settle the sex a present condition for analyzing small appliance profession electronic commerce business enterprise every kind of influence factor, expatiating profession development.

本文从中国互联网发展的宏观状况出发，系统地分析了电子商务企业的相对比较优势，小家电行业开展B2C电子商务的特点及其在经济生活中的功能，定性地分析了小家电行业电子商务企业各种影响因素，阐述了行业发展的现状。

Ammonifiers in Suzhou Creek can not use inorganic nitrogen and carbamide as nitrogen source; additional carbon source and garbage lixivium have little influence on ammonifiers growth; high content of salt and low temperature restrain ammonifiers growth; alkalescent condition has little influence on ammonifiers, but acidic condition restrain ammonifiers growth; the biomass of ammonifiers are not necessary correlated with the function of ammonifiers, adding glucose with 1g/l content into the water sample obviously promote the growth and function of ammonifiers.

苏州河的氨化菌无法利用无机氮和尿素作为氮源；在营养条件充足时添加额外C源和富含有机物的垃圾浸出液对氨化菌的生长基本无影响；高盐度和低温抑制氨化菌生长；碱性条件对氨化菌的生长影响不大，酸性条件对氨化菌生长具有抑制作用；氨化菌生物量的消长与转氨活性之间不存在必然联系，1g/L的葡萄糖对苏州河水样中氨化菌的数量和转氨功能具有明显的促进作用。

The nonlinear items only satisfy the local Lipschitz condition, but not the uniformly Lipschitz condition. The step function is applied to the approximate controllability problem of the corresponding linear system.

这类非线性系统中的非线性项只满足局部Lipschitz条件，于是采用了阶梯函数的方法，对于热传导方程的逼近能控性进行了讨论，得到了线性系统的逼近能控性，并给出了控制的显式表达，而在文献[103]中控制的具体求法是未知的。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。