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Based on the surjection of maximal monotone operators, we prove that some semilinear heat equations with weak Lipschitz nonlinear terms are exactly controllable by L〓 0, T: H〓(Ω control; Based on the critical point theorem of coercive convex functionals, we prove that some parabolic equations with Lipschitz nonlinear terms are globally approximately controllable and finite-dimensional exactly controllable by controls acting on mobile supports, and finally, we extend the results to parabolic equations in R〓.

首先利用极大单调算子的满射原理证明了半线性热方程在较弱Lipschitz条件下可通过L〓0.T；H〓(Ω控制实现精确能控。然后通过构造强制凸泛函并利用其临界点理论证明了带Lipschitz非线性项的抛物型方程可通过作用在在移动支集上的控制来实现整体近似能控与有限维精确能控，最后将整体近似能控与有限维精确能控结论推广到无界区域R〓上。

However, in a song such as That's Right/Jiu Shi, the trippy music starts off as contemporarily as Twitter before the entrance of the traditional guzheng, crunchy rock guitar and Ember's gorgeous jazzy vocals delight the listener to a Zen expression of minimalist lyrics:"This is exactly the kind of music…..this is exactly who I am."

比如在That's Right这首歌中，一开始是梦幻般的像Twitter那样现代派的音乐，而后是传统的古筝，随之相伴而来的是摇滚吉他和子玉那美妙而具有Jazz风格的歌声，用毫不夸张的抒情格调，带来的是禅宗式的愉悦：这正是我要的音乐。。。。。

He wasn't exactly committed, but he wasn't exactly uncommitted, either.

他没有确定要干什么，可是他也没有确定不干什么。

I have been exactly where Vivian is now, and I understand exactly how she feels.

我是觉得我们想要做的跟父母想要的不一定必须是对立的。

Cradling the doll in her frail arms, she repeated over and over again,"She's exactly like my old doll, exactly like her."

她把娃娃抱在虚弱的手臂中，一遍遍地说道：&她完全像我原来的那个娃娃，完全像她。&

For one to definitively distinguish between SK and SO, he shall ineluctably face one point, a point that has perplexed a group of our forebears, especially those who had once immersed themselves in the deep thinking of the essence of this world, that what exactly SK is and what exactly SO is.

一个人若想确定性地区分&科学知识&和&迷信对象&，那么他将不可避免地遇到一个曾经困扰过许多先贤，特别是那些曾经对世界的本质有过深度思考的先贤的问题---到底什么是科学知识，什么是迷信对象？

It is uncontroversial that these words all mean exactly what 'metaphysics' means in English—or, less parochially, that all the European words derived from ' metaphysica ' mean exactly the same thing.

这是无争议的，这些词的意思和英文中的&metaphysics&是相同的，或者更狭窄点，所有来于拉丁语' metaphysica '的欧洲词的意思完全一样。

In this paper we assume the expected returns of the risky and risk-free assets as well as the covariance matrix of the risky assets are not exactly known, but defined by some known elements, which form the vertices of this polytope. Robust optimal portfolio problems are proposed in the market with and without risk-free asset. And the analytical solutions are given out when the covariance matrix of the risky assets are exactly known.

本文假设风险资产和无风险资产的收益以及风险资产的协方差矩阵不是完全确定的，其相关参数属于某个已知的凸多面体，分别在市场不存在和存在无风险资产的情况下定义了稳健最优投资组合问题，并在协方差矩阵确定的情况下给出了问题的解析解。

I know exactly how much power im aloud to have over my students and how much i need to seduct my Principal...i know exactly which are my limits ...

我知道到底有多少权力，即时通讯高喊有超过我的学生和我是多么需要seduct我的主要……我确实知道这是我的极限。。。

I know by introspection that my current experience represents exactly two golf balls (though the representation may be unveridical), but I do not know by introspection that it represents exactly n golf balls.

Long或许会拒绝存在真的把内省事态和非内省事态链接起来的先天原则，但他没有论证这点。如下是一个真先天原则：如果e是两个高尔夫球的表现情况，那么e同样是n个高尔夫球的表现情况，n=[(173-1)/(113-103)]1/2。

Finally, the Knight strung a line between two of the monoliths and tied the horses up there.

最后，骑士们在两颗巨石之间拉了一条绳子，将他们的座骑绑在上面。

T7zN/hyS0 The island lies south by east from here.

那个岛位于此地的正南偏东方向。