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There are very sophisticated randomized algorithms for convex and non-convex optimization that rely on recently-developed methods for approximately generating uniformly distributed random variables on convex sets.

有一些关于凸型和非凸型最优化的非常复杂的随机算法，它们依赖于最近研究出的一些方法，在凸型集合中近似地产生平均分布的随机变量。

In 1936, J.Clarkson first introduced the concept of uniformly convex Banach spaces ,initiated from geometric structure of the unit sphere of Banach spaces to research the properties of Banach spaces, began to research convex theory of Banach spaces. The same year, J.

Clarkson首先引入了一致凸Banach空间的概念，开创了从Banach空间单位球的几何结构出发来研究Banach空间性质的方法，开始了Banach空间凸性理论的研究。

Clarkson introduced the concept of convex modulus while researching uniformly convex spaces, later the relations between numbers of convex modulus and relevant geometric properties had been drawn.

同年，J.Clarkson在研究一致凸时引入了凸性模的定义，而后，人们从多侧面得出了凸性模的取值与相关几何性质之间的关系。

This random variable can be derived from a (0,1) uniformly distributed random variable according to a given distribution.

按照给定的分布，这一随机变量能由(0，1)均匀分布的随机变量加以变换得到。

This paper,uses the property of being uniformly integrable to truncate the random variable sequences,and under the condition of φx↑,φx2↓,obtain a weak law of large number of martingale difference sequences by the weak convergence theorem.

通过使用一致收敛性对随机变量序列进行截尾，并借助随机变量序列的弱收敛定理，在φ↑，φx2↓的条件下给出了一个鞅差序列的弱大数定律。

Large deviation principle; kernel density estimator; concentration inequality; Markov processes; uniformly integrable operators

基础科学，数学，概率论、数理统计大偏差原理；核密度估计量；集中不等式；马氏过程；一致可积算子

It is shown that the system is uniformly persistent under proper conditions.

证明了该系统在适当条件下的一致持久性。

But he had been uniformly kind to me, and had allowed me indulgences

但他却一贯对我好，并在很多事情上迁就我。

However, you must apply these practices uniformly to all employees.

但是，你必须适用这些作法给所有员工一致。

Therefore, it is necessary to have a portal system to uniformly manage the authentication and authorization of all systems.

因此，应用一个门户系统对各个系统的认证和授权进行统一的管理，就显得十分必要了。

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。