查询词典 as below

The composite nonsmooth optimization problem is defined as follows:〓where h is a convex function defined on〓and is bounded from below,and〓〓is a mapping from〓to〓and〓are twicecontinuously differentiable function on〓.

复合NDO问题被定义如下：〓这里h是一个定义在〓上的凸函数，并且有下界，〓，〓是一个从〓到〓上的映照。

FR conjugate gradient methods with perturbations are proposed. The global convergence property of the first method is proved under the condition of main directions' sufficient descent. Whereas, in the proof of the convergence for the other two methods, we only need main directions' descent. Importantly and quite interesting, boundedness conditions such as objective function being bounded below, boundedness of level set are not needed. Chapter 5 presents a version of Dai-Yuan conjugate gradient method with perturbations.

在主方向充分下降的条件下证明了第一个方法的全局收敛性，而后两个方法的收敛性是在主方向下降的条件下证明的，这些收敛性证明的一个共同特征就是不需要目标函数有下界或水平集有界等有界性条件，第5章采用Wolfe或Armijo步长规则提出了带扰动项的Dai-Yuanabbr。

Below are some of the Twitter replies that I've received as I was brainstorming for this post.

下面是Twitter的一些答复，我已经收到，因为我是为这个职位集思广益。

Generally, stock increase once the phenomenon, its lethality is very large, such as the 0730 environmental shares since June 2000 down to below 30 yuan for the center after the parallel way down to 12 yuan, and if the crystalline elegance and science and technology since the early 2001 began after the increase down, way more than pages, have dropped from 26 yuan to 16 yuan a breathing spell.

一般地，股票一旦出现破位现象，其杀伤力是非常大的，比如0730环保股份自2000年 6月份往下跌破以30元为中心的平行区后便一路下跌至12元，又如O636风华高科自2001年初开始往下破位后，一路阴跌不止，从26元一直跌到16元才松一口气。

According to the coordination of the NA as defined by the atlas of Paxinos and Watson, an electrode, whose diameter is 40-60 u m, was inserted vertically into the right or left side of the brain stem at a level 12.7 mm caudal to Bregma and 2.0 mm lateral to the midline, and to a depth of 9.6 mm below the dorsal surface.

按Paxinos and Watson脑立体定位图谱(第四版，1998)，以前囟为零点，正中线向后12.7 mm，旁开2.0 mm，深9.6mm，在颅骨上钻孔，插入尖端直径为40～60 μm的金属电极。

On a pressure of about 10 E-1 mbar and a substrate temperature below the liquidus of the solder, formic acid will be feed into the vacuum chamber from a bubbler using nitrogen as a tracer gas.

气压大约在10 E-1 mbar，基板温度低于焊料液相温度时，将甲酸充入真空腔体中（甲酸用作tracer gas？）。

As a result of lack of confidence we perform well below our caliber.

由于缺乏自信，我们的表现远不能反映真实的能力。

Salesman: all the data are given below such as camber angle,axle offset, and so on.

销售员：所有的数据，如外倾角，轴偏位等都已经列举。

Hit Esc Key to cancel the path, use the Free Transform Tool to distort it until similar as shown below

按Esc键取消路径，选择自由变换工具调整水流形状，直至效果如下图所示

The results of the test show that the whole intensity and comprehensive stability of subgrade made a good progress because the capillary water cant rise by using the insulating layer. In the prior condition of taking insulating layer thickness as 0.2m, choosing insulating layer 0.5m, 0.8m, below the pavement, the stability of seasonal frozen soil subgrade is analyzed. The results of the test also show that the optimal position of the insulating layer is 1.0m～1.5m .

试验表明，由于隔离层的作用使得毛细水无法迁移，对路基整体的强度和综合稳定性都有了很大程度上的提高，同时试验还表明在隔离层厚度为0.2m的前提下，设置在距路面以下1.0m～1.5m位置，即路基表面以下0.5m～0.8m处对路基的稳定性最为有利。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。