收敛

Property 2 (Term-by-Term Integration) Suppose that is the sum of a power series on interval ;that is,Then, if is interior to ,and the radius of convergence of the integrated series is the same as for the orginal series.

性质 2 幂级数的和函数在其收敛域上可积，并有逐项积分公式，，逐项积分后所得到的幂级数和原级数有相同的收敛半径。

The law of the influence of contractive angle of taper nozzles and curvature radius of convergence nozzles' convergent section on jet structure parameters is revealed, and it can provide a basis for optimization selection and design about laser cutting nozzles.

揭示锥型喷嘴收缩段收缩角、收敛型喷嘴收敛段抛物线曲率半径对射流的流场结构参数的影响规律，为激光切割喷嘴的优化选择和设计提供有效依据。标签激光技术激光切割会聚型喷嘴流场结构流体动力学 laser technigue laser cutting assemble nozzle jet structure hydrokinetics

While we find economic growth convergence in eastern region, the economic growth convergence has not been identified in central and western regions.

当我们将全国划分为东部地区和中西部地区后，我们发现东部地区经济增长收敛，而中西部地区经济增长不收敛。

In order to get the numerical solution, the paper devises a three hierarchic implicit scheme which eliminates the strict restriction of explicit scheme, thus, it can be used in more areas. By using the energy estimation method, the convergence and stability of the difference scheme are proved and the scheme is second order convergence for time and space.

对求解方程构造了一个三层隐式差分格式，消除了显格式的稳定性对计算步长的严格限制，使之适用范围更广，并用能量估计的方法严格证明了差分格式的收敛性与稳定性，该格式对于时间和空间均具有二阶收敛性。

In the third chapter, we study the approximation and weighted approximation for a kind of generalized Baskakov operators of two-variable. Using different weight functions, we discuss the convergence on weighted space of polynomials and rate of convergence with Jacobi weight for this kind of two-dimensional product-type operators, which extends the results of one-dimensional operators.

第三章研究一类二元广义Baskakov算子的逼近及其加权逼近，主要针对于不同的权函数讨论了这类乘积型的二元算子及其导数在多项式权空间上的收敛性和加Jacobi权的收敛阶，把一元的结果推广到多元的情形。

The angle of dip give more affection on space convergence, the steep dip layer are stable fast than the flat dip layer.

研究结果表明：①围岩的倾角对内空收敛影响大，急倾斜岩层收敛稳定快于缓倾斜岩层。

In the end , the adaptive prediction algorithm is proved to be globally convergent by using the extended form of Martingales Convergence Theorem .

k。最后用鞅收敛定理的推广形式证明了这一自适应预测算法的全局收敛性。

The third chapter mainly verify the weak convergence and strong convergence theorem ofRTRL.

第三章我们主要论证了RTRL算法的弱收敛和强收敛性定理。

In the fourth chapter,we quoted a normal matrix,and proved a convergence theorem about nonhomogeneous Markov chains.

第四章通过引进一正规矩阵，证明了一个关于非齐次马氏链的收敛定理，是杨卫国等人的一个关于非齐次马氏链Cesaro平均收敛定理的推广。

Stability and convergence of the model are proven by means of the weak convergence theorem of generalized function and the convolved integration theory.

由广义函数弱收敛定理和卷积理论，证明所提出的非局部连续模型具备收敛性和稳定性。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐