平凡的

The numercial simulation has been carried out, and the experimental results show that this method has been improved significantly comparing with the traditional one in nonlinear optics. Secondly, a second order system of semilinear elliptic equations, which comes from a mathematics model of the electric potential distribution of a media surrounded with the protein, is transformed into a variational problem, the existence of solution of it is proved by using variational principle and Trudinger—Moser inequality, and the relation between the solutions of variational problem and the solutions of its dual problem is obtained.

首先，讨论了非线性光学中的二次谐波产生的耦合方程组，利用变分法证明了耦合方程组非平凡解的存在性，然后进行了数值模拟，实验结果表明文中方法比经典的非线性光学中的方法有较大的改进，这对优化光倍频器件的设计将有所帮助；其次，将一类二阶半线性椭圆型方程组转化为一个变分问题，然后利用变分法和

Perhaps you are president who keeps aloof, perhaps is disdains by under the step which as soon as the human raises imprisoning, perhaps is thousands of nameless inactivity extraordinariness, but in each person's parents' eye all is the most lovable child, does not divide the north and south, regardless of the ancient and modern, the parents really love is eternal, through ancient times invariable.

或许你是高高在上的总统，或许是不屑被人一提的阶下之囚，或许是千万个无名无为的平凡者，但在每个人的父母的眼中都是最可爱的孩子，不分南北，无论古今，父母真挚爱是永恒的，亘古不变。

The officers and men marched in the parade square standard pace, each step of 75 cm, 116 steps per minute, did Folks; stringent requirements, rigorous training to make phalanx of officers and men trained in a real skill. 56 Fang team, a symbol of unity and harmony of China's 56 nationalities, unite as one, making big strides along the road of socialism with Chinese characteristics; flag guard members from the People's Heroes Monument to the starting base of the flagpole to reach the road during the process of step goose-step 169 , meaning "from 1840 to the present 169 years of extraordinary history, the Chinese bull by the horns with confidence towards the future"......

阅兵式方阵的官兵们迈着标准的步伐，每一步75厘米、每分钟116步做到了分毫不差；严谨的要求、严格的训练使方阵的官兵们练就了一身的真本领。56个方队，寓意着我09年国56个民族团结和谐、万众一心，沿着中09年国特色社会主义道路阔步前进；09年国旗护卫队队员从人民英雄纪念碑出发到达09年国旗杆基座的行进过程中将迈出正步169步，寓意"从1840年至今169年的不平凡历程，中华民族不畏艰难，满怀信心，走向未来"

But the bitter truth we critics must face is that in the grand scheme of things.the average piece of junk is probably more meaningful than our criticism designating it so.but there are times when a critic truly risks something and that is in the discovery and defense of the new.The world is often unkind to new talent ,new creations.the new needs friends.

但整体意义来说，一个严酷的事实，我们这些食评家都必须面对的是随便什么平凡无奇的菜都有可能比我们批评它的评论更有意义，但有时我们也真的得冒很大的风险去发掘和呵护新的人与事物，这世界对于有才的人和创新的事常常却是很残忍的。

If Mr Obama resembles anyone in recent British history, it is Tony Blair, another leader from everywhereand nowhere, who synthesised charisma, optimism and gushy rhetoric without causing too much alarm.they will both look depressingly plain.

如果OBM和英国近代历史上的任何一个人相似，那就是布莱尔，另一个重量级人物，他有着综合的超凡美丽，乐观和雄辩的口才，并没有引起太多的不同声音。C先生和布郎先生一悲伤的事实就是---如JFK的HM---和OBM一样，他们看起来都是相当的平凡。

Michael Angelo left a proof On the Sistine Chapel roof, Where but half-awakened Adam Can disturb globe-trotting Madam Till her bowels are in heat, proof that there\'s a purpose set Before the secret working mind: Profane perfection of mankind.

在西斯汀教堂的屋顶中，米开朗琪罗留下了证明；那里，只是一个半醒的亚当就能够使走遍地球的女人惶惶，最后她的内心一片激情洋溢，证明有一个预先确定的目的，在那秘密工作的思想之前，人类的完美实际上平凡。

To the discrete-time systems, we introduce a new discrete-time norm, the algorithm given is not depend upon the initial data. For a class of uncertain discrete-time systems, we also adopt the method of iterative learning control, we convert the problem of learning control into a global stability of trivial solution for lower triangular matrix dynamic systems, and obtain the result of tracking to desired state of the system.

对于一般非线性离散系统，引进了离散的范数，所给的算法不依赖于学习控制算法中的初始数据，对于一类不确定离散系统的状态跟踪问题，我们也采用迭代学习控制的方法，将相应的学习控制问题转化为一个下三角动力系统的平凡解全局稳定性问题，获得了对系统理想状态的跟踪结果，并对所给的算法的收敛性进行了分析。

Later, we estimate our variational functional to get a nontrivial solution of the new equation and so the second solution for is obtained.

然后我们利用函数平移将原来的非齐次边界问题转化为奇次边界问题，验证了其对应的变分泛函满足不带条件的山路引理的两个条件，并给出了泛函临界点存在的一个充分条件，最后对具体的变分泛函进行估计，得到了新方程非平凡解的存在性结果，从而得到了原方程第二个正解的存在性结果。

The major technique to get the information of structure of those free groups is to sudy the action of automorphisms on them. In this paper we show that every normal automorphism of a nontrivial free product of groups is inner as well. Traub[16] made a purely algebraic conjecture and showed that it implied Poincare"s Conjecture. He also showed that Poincare"s Conjecture implied this algebraic conjecture modulo another topological hypothesis.

在本文中我们给出任意两个非平凡群的自由积的每个正规自同构也是内自同构的；在文献[16]中，Traub给出了一个纯代数的猜想并证明了这个猜想蕴含着着庞加莱猜想的成立，并且作者也证明了在一个拓扑假设的前提下庞加莱猜想也同时蕴涵着猜想1是成立的，后来这个拓扑假设被Waldhausen([7])证明是成立的。

Of hair grey or white with age.2.old and tritenational selfsatisfaction, guided by the principle that everything must be slick,*(superficially or pretentiously smooth and dexterous) trivial, and predigested, and culminating in that false optimism which puts the basest interpretation on the dictum that "truth will prevail."

我所涉及到的是这种美学教条，其关键是对于平庸的正确思想的崇拜，根植于久远的民族的自我满足，并且受这种原则的指导——每一件事情必须平滑，平凡，简化，乃至达到一种虚假的乐观主义，它建立在这种格言最低级的转述上："真理将要流行。"

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。