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When a subject was accused of a crime of sufficient importance to interest the king, public notice was given that on an appointed day the fate of the accused person would be decided in the king's arena, a structure which well deserved its name, for, although its form and plan were borrowed from afar, its purpose emanated solely from the brain of this man, who, every barleycorn a king, knew no tradition to which he owed more allegiance than pleased his fancy, and who ingrafted on every adopted form of human thought and action the rich growth of his barbaric idealism.

当某个臣民被指控犯下了足以引起国王兴趣的罪行，公众的注意力就被聚焦在这里了：在一个指定的日子，被告的命运将在国王的斗兽场上决定，这是个当得起这个名号的建筑，因为虽然它的形式与计划是从遥远的外国借来的，但是，它的目的完全发自这个人的头脑，他，彻头彻尾是个国王，除了实现他的奇想之外罔顾任何传统，他在所有已知形式的人类所思所为里都灌注了他那丰富发展了的野性理想主义。

When a subject was accused of a crime of sufficient importance to interest the king, public notice was given that on an appointed day the fate of the accused person would be decided in the king's arena—a structure which well deserved its name; for, although its form and plan were borrowed from afar, its purpose emanated solely from the brain of this man, who, every barleycorn a king, knew no tradition to which he owed more allegiance than pleased his fancy, and who ingrafted on every adopted form of human thought and action the rich growth of his barbaric idealism.

当一位臣民被控之罪大的足以引起国王的注意时，就有通告发出说，在某个指定的日子，被控制人的命运就要有国王的竞技场来决定了——这座建筑物的的确确名副其实；因为，虽然其形状和设计是借自遥远的地方，但是其目的完全源自这个人的大脑。他是个不折不扣的国王，不遵随惯例习俗，除非能取悦他的幻想。他借用每一种人类的思想和行为形式，来大力发展他的野蛮理想主义。

When a subject was accused of a crime of sufficient importance to interest the king, public notice was given that on an appointed day the fate of the accused person would be decided in the king's arena, a structure which well deserved its name, for, although its form and plan were borrowed from afar, its purpose emanated solely from the brain of this man, who, every barleycorn a king, knew no tradition to which he owed more allegiance than pleased his fancy, and who ingrafted on every dopted form of human thought and action the rich growth of his barbaric idealism.

当有人被控犯罪且此人的重要性足以引起国王注意，则将会在国内贴出公告，公布被告在结构如其名的竞技场上接受命运安排的指定日期；虽然此竞技场的外形及设计都是采用远邻的构想，然而它的用途还是以国王的想法为主。他是一个视忠诚度比满足他想象空间要重要的人，且他也灌输影响人民思想与行为的野蛮观。

In the taller of high-rise buildings, the system is likely to be found inappropriate for a stand-alone system, this because of the difficulty in mobilizing sufficient stiffness under lateral forces.

在高的高层建筑，该系统很可能会发现不合适的一个独立的系统，这个，因为难以调动足够的刚度下的侧向力。

Due to the restriction of computational complication and precision,WRM boundary collocation method can only be used to simulate temperature fields of single-particle model,as for the case of some more complicated particle geometry shape it is very hard to obtain sufficient approximation solutions.Thus,BEM is adopted to analyze the thermal conduction problem of composites with particle of arbitrary geometry.

由于受计算复杂程度和计算精度的限制，采用加权残值法只能分析单夹杂问题，且对于更复杂的夹杂形状很难得到良好的近似解，因此接下来采用边界元方法分析了具有任意形状夹杂复合材料的温度场问题。

From [1], Every transition function is a positive strongly continuous semigroup of contractions on l\, but it isnt a strongly continuous semigroup on l_∞- In fact, the sufficient and necessary condition for a transition function to be a strongly continuous semigroup on l_∞ is that the q—matrix Q is an uniformly bounded q—matrix on l_∞- This is the trivial case.

由Anderson[1]知道转移函数P是l_1空间上正的强连续压缩半群，但P一般来说不是l_∞空间上的强连续半群，而P是l_∞上强连续半群的充要条件是q—矩阵Q是l_∞。

So, a necessary and sufficient condition for the system to be stable is that the roots of the characteristic equation have negative real part.

因此，系统稳定的一个必要充分条件是特性方程的根有负的实部。

So, a necessary and sufficient condition for the system to be stable is that the roots of the characteristic equation have negative real parts.

所以，系统稳定的一个充要条件为：系统的特征根具有负实部。

A sufficient condition that characteristic exponent can be assigned arbitrarily for linear periodic system is also attained in the paper.

文章还给出了一个线性周期系统特征指数可以任意配置的充分条件。

Schauengurg[2] considered more general case and found necessary and sufficient conditions for the cosmash product coalgebra H Q to be a Hopf algebra with a Hopf subalgebra H and a weak projection !

Schauenburg在文献[2]中把Radford的研究加以推广，给出了使余smash积HQ为Hopf代数，H为HQ的子Hopf代数，且具有弱投射π：HQ→H(即π是左模余代数同态，且π|_H=id_H)的等价条件。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失