界

By getting Lebesgue characteristic of integrable function of Riemann from the definition of gather zero measure, it discusses the relation between almost continuous everywhere and existent of limit, and gets that the almost continuous everywhere is equal to the almost limit existence everywhere in the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征，讨论了其几乎处处连续与极限存在的关系，即可积函数中几乎处处连续与极限的几乎处处存在是等价的，得出了比正规函数更加广泛的统一条件，得出了有界变差函数是可积函数的结论。

In this paper, we present a nonmonotone line search model algorithm for the nonsmooth composite minimization problems minhf(x, where each f: Rn→Rn is a locally Lipschitzian function, and h: Rn→R is a continuously differentiable convex function.

1引言考虑下面的复合极小化问题minF=hf(x，(1 。1)二〔丫其中f：R"一R"是局部Lipschitz函数，h：Rn一R是下有界的连续可微的凸函数。对于问题(l 。1)，QIL、袁亚湘和孙文瑜等z1一

Data stream model is different from traditional database. It has the characteristics of rapidness, real-time, continuousness and boundlessness. Therefore, the algorithms for mining data streams have substantial difference from that of traditional database mining. They are one-pass algorithms.

数据流模型不同于传统的数据库模型，具有快速、实时、连续、无界等特点，由此决定了数据流的查询或挖掘算法与基于传统的数据库的挖掘技术有显著的区别，其算法应是单遍扫描的。

Then we use Lebesguge s dominated convergence theorem to obtain some sufficient conditions for (2) and study the existence of a bounded positive solution.

接着，利用Lebesgue单调收敛定理给出了方程(2)振动的若干充分必要条件并且研究了正有界解的存在性。

We prove, under some mild assumptions, the local convergence theorem for this class of dual algorithms and present the error bound for approximate solutions.

在适当的假设条件下，证明了该类算法的局部收敛性质，并给出近似解的误差界。

Theorem 2 (Boundedness of a Convergent Sequence) If the sequenceis convergent, thenis bounded.

定理 2 如果数列收敛，那么数列必定有界。

It follows from the full-invariant of 〓-multiplier convergent series that 〓-bounded sets also have full-invariant.

据〓数乘收敛级数的全称不变性，得到了〓有界集也具有全称不变性这一重要结论。

Stability in the sense of Lyapunov, boundedness, optimal control and converse theorem about Lyapunov stability of hybrid dynamical systems are four topics studied in this dissertation. This dissertation is arranged in five chapters.

本论文针对具体的混合动态系统关于其不变集的Lyapunov稳定性，混合动态系统的有界性，最优控制以及Lyapunov逆定理等问题进行了研究，论文总共分为五章。

There are also supplements including nutrient RDAs and sources, a body mass index calculator, conversion tables for cooking and a guide to food hygiene procedure ,as well as a list of key contacts in the fields of nutrition, health and food production.

它是一个餐饮界人士交流的平台，食品卫生的向导，同时对营养，健康，食品工程领域来说，他还可以作为一个联系人的名单。

In addition,an upper bound of multivariate Gaussian probability for a general convex domain is given based on a geometric observation.

利用已得一维Mills率的估计验证了在部分参数区间上我们的上界估计要优于已有的估计。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。