明了

Nice of you to boil it down for us.

感谢你为我们将它归结的如此简单明了。

In Chapter 2 of this thesis,we show that the rate of convergence to equilibrium is Ot~(-∞,by using a method developed for the Boltzmann equation without external force in.

在本论文的第二章，通过使用对无外力的Boltzmann方程进行证明的一种方法，我们证明了VPB系统以近似指数阶的速度Ot~(-∞收敛到全局Maxwellian状态。

Through a construction of a distribution function,the normal form of KFVS is deduced based on the nocollision Boltzmann equation .

通过构造一个分布函数，利用无碰撞的 Boltzmann方程，推导出求解一般形式的KFVS方法，对一维溃坝进行了模拟，并与精确解进行了比较，说明了这种方法的进步性和可行性

Finally, using a new iterative method, a variant of Kaniel-Shinbrot iterative method, we prove the existence and uniqueness of eternal solution to Boltzmann equation for the hard interactions and rigid spheres model.

最后，本文利用一种新的迭代方法(有别于Kaniel-Shinbrot迭代)在硬位势和硬球模型情形下证明了Boltzmann方程永久型解的存在唯一性。

Then the experiment of the thickness and deviation dependent shows the continue networks model is more seemlier, in which the amorphous lattice is the same of a single crystal, but its bond distance and bond angle have a little change.

而我们的池厚与分散度关系的实验已说明了厚池中键长键角不归一，当小球标准差为8.4％时，键长键角的变化可以用连续网络的非晶模型来描述，此模型的非晶结构的骨架与单晶相同，但键长键角有小量的无规性。

By means of Boolean matrix operation method, a study is made of defining the prime implicant of multi output function and the operation routine of the method is illustrated with some examples.

运用布尔矩阵运算的方法对确定多输出函数的质蕴涵进行了研究，并通过示例说明了这种方法的运算程序。

Using the theories of probability, algebra and spectral theory comprehensively, we investigate some related characteristics of logic functions in cryptography: Firstly, we introduce m order generalized s - correlation immunity of Boolean vector functions and prove that the higher order generalized ε- correlation immunity can guarantee the lower order generalized ε- correlation immunity. Then by applying decomposition formula of joint distribution of Boolean random vectors, we give a spectrum criterion of m order generalized e - correlation immunity of Boolean vector functions. Furthermore, we show that the algebraic degree of m order generalized e - correlation immune Boolean vector functions is not restricted by the correlation immune orders.

本文主要运用概率论的思想和方法，并结合代数学和频谱理论的相关知识，对密码学中逻辑函数的有关性质进行了研究，主要包括以下三个方面的内容：首先，对布尔向量函数的相关免疫性进行了拓展，给出了k维布尔向量函数m阶广义ε-相关免疫的概念，证明了布尔向量函数的高阶广义ε-相关免疫性蕴含低阶广义ε-相关免疫性，并根据布尔随机向量联合分布分解式得到了布尔向量函数m阶广义ε-相关免疫的一个谱判别条件，还说明了m阶广义ε-相关免疫布尔向量函数的代数次数不受相关免疫阶数的制约。

To Connie, Clifford seemed to be coming out in his true colours: a little vulgar, a little common, and uninspired; rather fat. Ivy Bolton's tricks and humble bossiness were also only too transparent. But Connie did wonder at the genuine thrill which the woman got out of Clifford. To say she was in love with him would be putting it wrongly. She was thrilled by her contact with a man of the upper class, this titled gentleman, this author who could write books and poems, and whose photograph appeared in the illustrated newspapers.

康妮呢，她觉得克利福的真面目显露出来了：他有点肥胖臃肿，有点庸俗，平凡，并没有什么才气，波太太的把戏和她的谦卑的威风，也太透明了，不过康妮所奇怪的便是这个妇人从克利福那里所得到的天真的迷醉，说她是爱上了他，这是不对的，他是一位上流社会的人，一位有爵衔的贵绅，一个相片在许多画报上登着，能够写书吟诗的人。

We gave algorithm of boundary curve, and excellent results of blending surfaces were shown by examples.

还给出了建立渐变序列的边界曲线算法，通过实例说明了造型和编辑边界曲线能得到良好的拼接效果。

As a result, we have demonstrated that the best approximating operator and the best approximating of bounded linear operator in H10 and H1a,+∞ are consistent and, at the same time, we have generalized the theorem of the best approximating of bounded linear operator to the more universal H1

然后，我们说明了在这样的索伯列夫空间上定义的样条插值算子和最佳逼近算子是一致的，同时把有界线性算子的最佳逼近定理也推广到了一般的索伯列夫空间H~1a，+∞上去。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。