查询词典 ordered set bounded 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。

If the flow does not go to infinity, or the functional is bounded from below on the flow and satisfy the condition, then the limit of the flow maybe a critical point.

如果流线不走向无穷远处，或泛函在此流线上下方有界且满足条件，那么极限点就可能是临界点。

According to that Caristi fixed point theorem is equivalent to Ekeland variational principle, we weaken the condition that the functional is bounded from below in Ekeland variational principle, then we enlarge the area of the applicable functionals.

鉴于Caristi不动点定理和Ekeland变分原理的等价性，我们对Ekeland变分原理中泛函的下方有界的要求作了相应的削弱，从而扩大了适用泛函的范围。

Lots of empirical studies show that the actual processesand results of investors'decision-making are very different from that described byMFT's optimal investment decision-making model because of judgement anddecision biases arising from investors'psychological biases and informationasymmetry , investors'bounded rationality below the MFT's requirement.

大量的实证研究表明，实际中由于投资者固有的一些心理偏差和信息不对称的存在，使得投资者的认知能力和判断能力以及判断的准确度往往存在偏差，远远低于经典现代金融理论对投资者的理性要求，投资者的实际决策过程和决策结果与经典现代金融理论的最优投资决策模型所描述的大相径庭。

This result can best be viewed as a quantum black hole version of the third law of thermodynamics. As a result of this area spectrum, the spectrum of M is discrete, bounded below, and can be made positive. Prom the physical point of view, the semiboundedness and positivity of the spectrum are very satisfying results: The semi-boundedness of the spectrum implies that one cannot extract an infinite amount of energy from the system, whereas the positivity of the spectrum is in agreement with the well-known positive-energy theorems of general relativity.

同时根据EMDA黑洞动力学，存在与面积谱对应的大于零且有下界的质量离散谱，从物理上来看，质量谱的半有界性意味着不可能从系统吸取无限的能量，而正定性则与广义相对论中的正能定理一致，也就说稳态轴对称EMDA时空的ADM能量总是大于零。

In their exercise of power, the primary task of modern nation-states is to transform "people" into politically, culturally and volitionally bounded "citizens," so that the state, instead of the "ruler," will be regarded by the ruled as the object of loyalty, and supportive forces that uphold from below the identity of political communities will occur.

现代民族国家的政治权力之遂行，首要工作乃是将「人」打造成有政治边界、文化边界与意志边界的「公民」，以使被统治者政治效忠的对象由「统治者」转变为「国家」，并且产生具有再生产性质由下而上支撑政治共同体同一性的支持力量。

North Beach is a San Francisco, California neighborhood bounded by the former Barbary Coast, now Jackson Square, and the Financial District south of Broadway (except North Beach institutions extend down Columbus to Washington and Montgomery, where the Black Cat originally was), Chinatown to the southwest of Columbus below Green, and then Russian Hill to the west, Telegraph Hill to the east and Fisherman's Wharf at Bay Street to the north.

北滩是加利福尼亚州旧金山地区范围内的前北非海岸，现在杰克逊广场，以及金融区南部的百老汇（除北滩机构延长了哥伦布华盛顿和蒙哥马利，在那里黑猫原），唐人街西南哥伦布低于绿色，然后俄罗斯山以西，电报山以东和渔人码头湾街以北。

In this paper, we proposed continuous interval argument OWH operator for aggregating continuous interval argument on the basis of ordered weighted harmonic averaging operator. Based on C-OWH operator, we proposed some new concepts, such as weighted harmonic C-OWH operator, ordered weighted harmonic averaging C-OWH operator, combined C-OWH operator, and we discussed some properties of these operators.

本文首先把OWH算子推广到了连续区间上，提出了连续的区间数据OWH算子，然后在此基础上提出了加权调和的C-OWH算子，有序加权C-OWH算子以及组合的C-OWH算子等新的概念，探讨了它们的一些性质。

The corresponding fixed point theorems of ordered mappings in ordered Banach space were improved and generalized.

结论改进和推广了相应的序Banach空间中序映射的不动点定理。

In fact, this is the sign of true faith, for when its cheerfulness enters and mixes in the hearts completely, nobody will be displeased with it. I asked you whether he had ever broken his promise. You replied in the negative. And such are the apostles; they never break their promises. When I asked you whether you fought with him and he fought with you, you replied that he did, and that sometimes he was victorious and sometimes you. Indeed, such are the apostles; they are put to trials and the final victory is always theirs. Then I asked you what he ordered you. You replied that he ordered you to worship Allah alone and not to worship others along with Him, to leave all that your fore-fathers used to worship, to offer prayers, to speak the truth, to be chaste, to keep promises, and to return what is entrusted to you. These are really the qualities of a prophet who, I knew would appear, but I did not know that he would be from amongst you. If what you say should be true, he will very soon occupy the earth under my feet, and if I knew that I would reach him definitely, I would go immediately to meet Him; and were I with him, then I would certainly wash his feet.

事实上，这是的迹象，真正的信仰，因为当其cheerfulness进入并混在心底彻底，没有人会不满，所以我问你他是否已断开，他的承诺，你的回答是否定的，这些都是使徒；从来没有打破自己的诺言，当我问你可自行决定是否与打他，他打你，你回答说，他这样做了，有时候他是战胜国，有时候你，事实上，这些都是使徒，他们是付诸审判和最后的胜利永远是他们的，那我问你有什麼他命令你，你回答说，他命令你崇拜真主单，不崇拜别人随著他的离开都认为你的预测-父亲用来崇拜，祈祷，说实话，以纯洁，讲信用，守承诺，并回到什麼是委托给你，这是真正的素质先知的人，我就知道会出现，但我不知道他会从你们当中的，如果你所说的应该是真的，他将很快占据地球在我的脚下了，如果我知道我会达到他的肯定，我会立即把他会面；假如我跟他，那麼，我一定会洗他的脚。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。