一致收敛

In these areas, the uniform convergence concepts play an important role.

在这些方面，一致收敛的概念起着重要的作用。

2The positive series is convergent on the interval .

则函数项级数在区间上上一致收敛。

If each term of the series u1+u2+…un+…is continuous on the interval［a,b］, and this series is uniformly convergent on［a,b］, then its sum function is also continuous on ［a,b］.

若级数u1+u2+…un+…的每一项在［a，b］上连续，而且这级数在［a，b］上一致收敛，则它的和函数也在［a，b］上连续

Two-dimensional Bernstein type operators on simplex are constructed, and a necessary and sufficient condition of uniform approximation by mem is obtained, at the same time, the degree of approximation is characterized by two-order moduli of smoothness.

并且构造出单纯形上推广的二元Bernstein型算子，给出其一致收敛的一个充要条件，同时用二阶连续模刻划了它们的逼近度性质。

This paper considers existence of extreme solutions to first-order differential equations with a parameter by the method of lower and upper solutions with monotone iterations,and monotonic sequence is uniformly converged to the extreme value solution of nonlinear equation after being constructed.

文章利用上下解方法和单调迭代技术讨论了含有一个参数的微分问题极值解的存在性，通过构造单调序列使这个单调序列一致收敛于非线性方程的极值解。

First, the digraph is used to represent the topology of multi-agent systems, and then, a first-order integrator model and a consensus convergence criterion of systems are established.

首先提出了能使用有向图表示的多智能体网络系统的拓扑结构，并根据该拓扑结构建立了网络系统的1阶数学模型和提出了多智能体网络系统一致收敛准则。

The finite dimension approximating solution for initial-boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.

以Laplace算子在Dirichlet条件下的特徵值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解，证明该逼近解的一致收敛性。

Next, through a finite iteration of the solution sequence, an approximate solution of the optimal output-tracking control problem is obtained.

首先根据原系统最优输出跟踪控制问题构造了两个分别具有已知初始条件和终端条件的微分方程迭代序列，并证明它们一致收敛于原问题的最优解。

Finally, out of uniform convergence of function and function of the nature of class.

最后讨论了一致收敛函数列与函数项级的性质。

From the definition of uniform convergence of function sequence ,another form of definition discriminating is obtained.

从函数列一致收敛的定义出发，得出了定义判别法的另一种形式。

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。