查询词典 domain of convergence

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。

With regard to Space Club Convergence the thesis deems that its distinguishing should abide by firstly using Exploratory Spatial Data Analysis to divide space regional groups and then choosing suitable spatial autoregressive model or spatial error model and spatial cross-regressive model to examine Space Club Convergence in the same group.

在对区域分组方法的讨论中，本文通过对各种方法的优缺点的比较后认为，能够充分考虑各种经济增长影响因素的相似性，并提取分组过程中各因素重要性的分类回归树分析方法是较适合时间俱乐部趋同的区域分组方法。

In chapter 1, we discuss several iterative methods and their convergence conditions. While, we also present the techniques in proving the convergence theorem.

第一章，主要对几种迭代法的收敛性进行了讨论，总结了它们的收敛条件及证明各种迭代法收敛性的技巧。

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 Chapter 1, we summarize several iterative methods and their convergence condition, the techniques in proving the iterative methodss convergence theorem.

现在，迭代法的研究日益成为解决各种非线性问题的核心，迭代法优劣的选择直接影响到各种非线性问题的结果的良好，所以迭代法的研究有着十分重要的科学价值和实际意义。

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。

Helling and Jorgensen established the algebraic convergence theorem,limit theorem and convergence theorem in plane,respectively.

Helling、Jorgensen分别建立了平面Mobius群列的极限定理、代数收敛性定理和收敛性定理等等。

Especially, its operation does not depend on packet dropping. In chapter 5, we have analyzed the relation between link rate and link price of the Newton-like algorithm, which is proposed by Low et al to solve the utility function. And then we reduce the convergence procedure of Newton-like algorithm to a simple recursive procedure along a convex curve after the reduction and mathematical derivation. Thus, we found the reason that leads to the severe fluctuation of the sending rate during its convergence procedure, and then proposed our improved algorithm.

在第五章，我们在对Low等人提出的用于解决效益函数的Newton-like算法的链路速率与链路价格之间关系的深入分析的基础上，经过简化和数学推导，我们将其收敛过程归结为沿着一个凸曲线的非常简单的收敛过程，由此找到了导致Newton-like算法收敛过程中信源速率振荡剧烈的原因，在此基础上，我们提出了一个改进的链路算法。

Tan and Xu [1] had proved the theorem on convergence of Ishikawa iteration processes of asymptotically nonexpansive mapping on a compact convex subset of a uniform convex Banach space , Then Liu Qihou [3] presents the necessary and sufficient conditions for the Ishikawa iteration of asymptotically quasi-nonexpansive mapping with an error member on a Banach space convergent to a fixed point . Xu and Noor [5] had proved the theorem on convergence of three-step iterations of asymptotically nonexpansive mapping on nonempty closed, bounded and convex subset of uniformly convex Banach space.

Tan和Xu已经证明了建立在一致凸Banach空间紧凸子集上的渐进非扩张映射的Ishikawa迭代序列的收敛原理，随之，刘齐侯又阐述了Banach空间上渐进准非扩张映射T的具误差的Ishikawa迭代序列收敛于T的不动点的充分必要条件；之后，Xu和Noor也证明了定义在一致凸Banach空间某非空有界闭凸子集上的渐进非扩张映射的三步迭代序列的收敛原理。

Methods Clinical data of 3 cases of bile duct injury during laparoscopic cholecystectomy were analyzed retrospectively.

回顾总结3例LC术中胆管损伤的临床资料，分析3例胆管损伤的原因及对策。

These techniques are applied to the gobang.

本文将这些技术用于五子棋中。