一致收敛

The authors investigated the singular limits of stiff relaxation and dominant diffusion for general 2×2nonlinear systems of balance laws, that is,τ=o,ε→ 0, the relaxation time τtends to zero faster than the diffusion parameter ε. If there exists a priori L∞ bound that is uniformly with respect to ε for the solutionsof a system, then the solution sequence converges to the corresponding equilibrium solution of the system.

研究一般扩散占优的2×2双曲平衡律系统奇异松弛极限，用补偿紧性方法，在松弛时间τ比扩散系数ε趋于零快时，即τ=o，ε→ 0时，得到其解的整体存在性一般框架：如果上述系统的解存在对ε一致的先验L∞估计，则其解序列收敛于上述系统的对应平衡状态解。

The convergence of the iterative approximation of the solutions of uniformly accretive operator equation by the modified Ishikawa and Mann iteration processes with error are.

研究实 Banach空间中一致Φ-强增生算子方程解的修改了的具误差的 Ishikawa迭代序列的收敛性问题。

Secondly, the optimum operating conditions of the batch distilling tower for separating amyl alcohol from the fusel oil were found by applying CC-BATCH, a batch distillation model of the chemical engineering simulative system named ChemCAD5.0, to simulate and calculate the special technological process of salt outing-special batch distillation.

其次，利用ChemCAD化工模拟系统软件中的CC-BATCH间歇精馏模块对"盐析—特殊间歇精密精馏法"从杂醇油中制备C5醇的分离工艺进行了全流程模拟优化计算，模拟过程在所设限定条件下能满意收敛，所得结果与实验结果基本上一致。

By choosing suitable design parameters, all the signals in the resulting closed-loop system are uniformly bounded and the norm of the tracking error vector converges to an arbitrarily small neighborhood around zero by using the presented control approach.

通过选择适当的设计参数，提出的控制方法使得闭环系统的所有信号是一致有界的和跟踪误差向量的范数收敛到小的零邻域内。

Next,it proves that if E is a barrelled space and F〓 is a locally convex space,Kis all the compact operators of L,then the weak operator topology and the uniformly operator topology have the same sub-series convergence series in Kif and only if 〓 contains no copyof 〓.

其次又得到，若E是桶型空间，〓是局部凸空间，那么紧算子空间K中弱算子拓扑与一致算子拓扑具有相同子级数收敛的充要条件是〓不拓扑同胚地包含〓。

On this basis, we give the characterization of the compact set in E〓,τ

引入了模糊数网的最终等度左连续概念，利用它得到了模糊数序列在水平收敛意义下存在极限的一个充要条件，在此基础上给出了空间E〓，τ(l中紧集的特征刻画，即空间E〓，τ(l中的闭集U是紧的当且仅当U一致支集有界，且U的每个网有在（0，1上最终等度左连续、在λ=0处最终等度右连续的子网。

In this paper, a new wide-neighborhood path-following algorithms for uniform P- function nonlinear complementary problems is presented, and its convergence and computational complexity is discussed. The results indicate that the algorithm is a polynomial-time one.

对一致P-函数非线性互补问题，提出了一种新的宽部域N(上标-下标∞路径跟踪算法，并讨论了该算法的收敛性及计算复杂性，分析结果表明，所给方法是一多项式时间算法。

We introduce the notion of fuzzy-valued continuous function on a compact set K in a metric space, and discuss its properties; On this base, we study the uniformly d∞-convergence of a sequence of fuzzy-valued continuous function on K. We prove that the space of fuzzy-valued continuous functions on K, i.e. C(K, E1), is a complete metric space with respect to the metric D.

引入了定义在某度量空间的紧子集K上的模糊数值连续函数和水平连续函数的概念，讨论了它们的某些性质；在此基础上，研究了K上模糊数值连续函数列的一致d∞-收敛性，证明了K上模糊数值连续函数空间C(K， E1)关于度量 D 构成一个完备的度量空间。

Under the locally uniform τ-Opial condition, using product topological net, a new convergence condition of X with locally uniform τ-Opial condition is obtained, and give the ergodic theorem and τ-convergence theorem of the almost-orbits for asympotically nonexpansive typesemigroups in Banach space X are given.

首先给出了局部一致τ-Opial条件的概念，运用乘积拓扑网技巧得到了具有局部一致τ-Opial条件下空间X的新的收敛条件。

Ruck, Hirano and Reich extended Baillon抯 theorem to a uniformly convex Banach space with a Frechet differentiable norm. Hirano-Kido-Takahashi, Oka, Park and Jenong proved the ergodic theorem for commutative semigroups of nonexpansive mappings and asymptotically nonexpansive mappings in the uniformly convex I3anach space with the Frechet differentiable nonn.

aillon的定理被Bruck，Hirano及Reich推广到具Frechet可微范数的一致凸Banach空间中，而当G是一般交换拓扑半群时，Hirano-Kido-Takahashi，Oka，Park及Jeong分别给出了具Frechet可微范数的一致凸Banach空间中非扩张半群及渐近非扩张半群的遍历压缩定理和遍历收敛定理。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。