相依

It is useful for us to understand and apply models from the view of statistical dependence and stochastic comparison to study multivariate models.

从统计相依与随机比较的角度来研究多维模型，有利于人们更好把握与应用模型。

Statistical dependence and stochastic comparisons have been proven to be very useful in applied probability, statistics, reliability, operations research, and other fields.

统计相依与随机比较在应用概率、统计学、可靠性理论、运筹学等其它的领域有着广泛的应用。

Chapter 4 proves the strong law of large numbers,Glivenko-Cantelli Lemma underΓ-weak dependence, and we can further investigate moment inequalities for associated r.v.s.in terms of this dependent coefficient.

第五章我们在Wasserstein距离意义下根据随机变量序列的有限维联合分布以及它的边际分布的乘积之间的渐近独立性提出了一种新的相依系数，并且给出了一些具体的例子。

For the uniformly ergodic Markov processes, which is a classic framwork established by Deuschel-Stroock for studying the LDP for empirical measures, the LDP of f_n~* in the weak topology and the uniform weak*-LDP in the strong topology ||·||_1 for f_n~* are established. Furthermore, we prove that f_n~* is asymptotic optimal in the sense of Bahadur. These results are obtained for the first time in the dependent case. For this generalization from the i.i.d.

在此框架下，我们建立了f_n~*在弱拓扑下的大偏差原理以及在L~1-拓扑下对初始点一致的弱*大偏差原理，另外，我们还证明了f_n~*在Bahadur意义下是渐近最优的，这些结果在相依情形下是全新的，为了做这样本质性的推广，我们需要克服许(来源：ABC论文6d网www.abclunwen.com)多技术上的困难和应用不少特殊的工具，诸如Harnack型不等式，Cramèr型偏差不等式，一致可积算子，线性算子的扰动理论，Bishop-Phelps定理等等(它们都是首次用于处理这样的问题)。

Timelessly by a simple purpose and a true companionship.

定为着一个简单目的无始无终相扶相依。

No degree of sleeplessness or loneliness could prevent my spirits from soaring at the sight of those kindred souls, one old and one young, separated by a lifetime yet bound timelessly by a simple purpose and a true companionship.

目睹着一老一小如此血脉亲情，我所有痛苦与孤独都会烟消云散。她们年龄差距几十年时光，却必定为着一个简单目的无始无终相扶相依。

I've been trying to escape, but I couldn't make the way out. I wish I can have a home, a reliable husband that is magnanimous, thoughtful and truehearted, and will always be the one that we can depend on each other. I know that deeply inside my heart, we have to make great efforts together and to treasure our relationship.

我想有个家，有个可以依赖的男人，宽容大度，真正的心灵知己，我们相依相伴，我知道家是需要共同的努力和付出来珍惜才会拥有，我会满心的爱去呵护我们的家。

It is a truism that economic prosperity is accompanied by cultural prowess.

从过去的历史看，经济繁荣总是与文化实力相伴相依。

The vertex set denotes random variables at different times, and the directed edges denote causal dependence between the variables.

定义了线性条件互信息图，图中的结点表示时间序列不同时刻的随机变量，结点间的边表示随机变量之间存在的因果相依关系。

And you should be able to rely on one another when you're in the weeds.

在有困难的时候，你们也应该互相依持

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。