下界

Every ATPS has two phases, one of which is liquid crystal and the other isotropy solution with vesicles.

ATPS上相为液晶结构，下相为含有囊泡的各向同性溶液，界面膜是由表面活性剂的双分子层构成。

As word of his talent spreads, he soon attracts the attention of record producers, publicists, and even Jelly Roll Morton (Clarence Williams III of " The General's Daughter "), the father of Jazz, who wants to challenge the prodigy to a piano duel.

当他的天才被广为传诵后。慕名而来的人络绎不绝，唱片制造商、广告策划员，甚至是当时爵士乐的教父Jelly Roll Morton(Clarence WilliamsⅢ饰)也向这位钢琴界的奇才下了战书。

In chapter 3 we further analyze the Moore-Penrose inverse of Kronecker product of A and B and the linear least squares problems involving Kronecker product, then obtain normwise mixed and componentwise condition numbers and the upper bounds similarly.

在第三章中我们进一步在列满秩情形下，对A与的Kronecker积的Moore-Penrose逆和带Kronecker积的线性最小二乘问题做了分析，同样得出了范数型，混合型和分量型这三种条件数及其上界。

Moreover, we obtain the upper and lower convex bounds of the limiting distribution in general case by introducing the concept of comonotonicity according to Dhaene et al.

并进一步考虑采用Dhaene等人所研究的Comonotonicity方法(上标 [4.5])，给出了现值函数极限分布的上、下凸界。

In the proposed algorithm, we make use of the Lipschitz condition to determine lower bounds of functions over each rectangle.

在算法中，我们运用Lipschitz条件来确定目标函数和约束函数的在每个n-矩形上的上下界，对于n-矩形的分割，我们采用选择珩矩形最长边的二分法，同时我们采用了一些矩形删除技术，在不大幅增加计算量的前提下，起到了加速算法收敛的效果。

W ithout assuming the boundedness, monotonicity, differentiability and Lipschitz continuity of the active functions, an algebraic criterion to ensure existence and globally exponential stability of periodic solutions was obtained.

在 放松该类神经网络激活函数的有界性、单调递增性、可微性及Lipschitz连续等条件下，得到了该类神经网络周期解的存在性与全局指数稳定的代数判据。

The problem that under what conditions the - resolvent operator of a maximal TJ - monotone set-valued mapping is a Lipschitz continuous single-valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional Euclidean spaces.

借助于图收敛理论证明了有限维欧氏空间中的两个极大单调集值映射的和映射在较弱条件下仍是极大单调集值映射，并在此基础上讨论了一般集值变分包含问题解集的凸性、闭性和有界性。

Joint friction and micromotion should inevitably form the biofilm and debris around the prosthesis, which will provide a breeding ground for the propagation of pathogenic microorganisms. On the contrary, the destruction of bone around the joint caused by infection is one of the reasons of joint sinking.

在一定条件下，术后关节感染与假体松动又是相互促进的，关节的摩擦和微动，必然会在假体周围形成界膜和微粒，这就为病原微生物的繁殖提供了条件；反之，关节周围的感染所造成的骨破坏，也是关节松动下沉的一个原因。

This is hardly his first acting endeavor (I've liked him since Hyang Dan, where I thought he was very charming), but now that he's starring in a prime-time miniseries, I expect he'll be the next idol star to be declared a crossover success.

这几乎算是他的第一次演技尝试（我从香丹传时就开始欣赏他，我认为他很有魅力），但是现在他正在出演黄金时段的迷你剧，我期待他会成为下一个被公认跨界成功的偶像明星。

In this paper, by using some characteristic quantities such as value function, trust region radius, etc. in trust region method, we present a global error bound for the distance between a feasible solution and the optimal solution under the condition that the gradient vector of the objective function is strongly monotone.

本文利用信赖域方法中的几个特征量（由预测下降量给出的价值函数与信赖域半径等），在目标函数的梯度向量是强单调的条件下，为约束最优化问题的可行解与最优解之间的距离提供了一个全局误差界。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。