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This paper, firstly, after a deep study of image mathematical models, sets up two kinds of image models namely Laplace partial differential equation model and biharmonic equation model and then obtains the eigenvectors of image by the methods of eigenfunction expansion and boundary recurrence.

本文首先较深入地研究了图象的数学描述，提出图象的Laplace偏微分方程和双调和方程两种模型，继而采用特征函数展开法和边界递推法分别求得图象的特征矢量。

In fact, fight bilaterally to spread out already.

事实上，双方的交火早已展开。

The first part of this thesis is basic on the generalized Hamming weights of linear codes over rings and arranged as follows: In section one, we first introduced the definition of generalized Hamming weights and weight hierarchy over binary field GF (2) and its extension to nonlinear codes over GF (2) and linear codes over rings.

本文的第一部分就是围绕环上线性码的广义Hamming重量这个课题展开的，主要内容如下：第一节，首先介绍了GF(2)上线性码的广义Hamming重量和重量分级的概念，以及这些概念是如何被推广至非线性码及环上的线性码上的。

The paper designs and implements an effective monitoring tool for inter-domain routing stability,which analyzes the basic point based on binary group of or prefix according to routing updates and can reflect the status of inter-domain routing stability.

设计并实现了一种有效的域间路由稳定性监测工具，在更新消息层面上针对二元组或前缀为基点展开分析，多方面反映了域间路由稳定状况。

Binational Health Week is an annual event for Latin American migrants living in the US and Canada. The launch this year was on October 5th. TIMA joined the event, and with the help of volunteer interpreters gave 606 free treatments, including dental, pediatric, traditional Chinese medicine and other health services.

一年一度的美墨双边健康周，是专为居住在美国和加拿大的，拉丁美国移民而设，今年的终於在十月五号展开，人医会也加入此行列；在翻译志工的帮助下，为606人次进行了牙科，小儿科，中医还有其他项目的治疗。

Lastly, simulation was carried out, the results verified the efficiency of binomial expansion method in practical applications, therefore it is of great importance in design of analog fractance circuit and theoretical research of fractional calculus.

最后对该电路进行仿真，证明了二项展开法在实际应用中的有效性，对于模拟分抗电路的设计和分数演算的理论研究具有十分重要的意义。

Firstly, convergence condition of a binomial is discussed, and along with the calculating formula of region of convergence, the matching band of fractance circuit attained by binomial expansion method is indicated definitely.

首先讨论了二项式的收敛条件，并结合收敛域的计算公式，明确指出使用二项展开法所得到的分抗电路的逼近带范围。

If the power series ∑anxn an ∑anxn and ∑bnxn satisfy the condition r =∑bn xn, we obtain the twin combinatorial identity theorem between the sequences {an} and bn}.We also obtain some specific twin combinatorial identities by using the expansion on the binomial expression formula, including two expansions of combinatorial number(rsn and ...

如果幂级数∑anxn与∑bnxn满足条件r＝∑bnxn 时，获得数列｛an｝与｛bn｝之间孪生组合恒等式的定理，应用在二项式定理等展开式上得出具体的多组孪生组合恒等式，其中包含组合数的两种展开法，Bernoulli数直接表达式的新证等结果。

Evaluation of P is simplified if the square root terms are expanded by the binomial theorem.

如果按二项式定理展开来计算平方根，P的计算可以简化。

Thus, the study of bioethics which protects the dignity and health of personal life has been done extensively, the core of these problems is the right of personal life.

因此，以维护人的生命尊严及健康安全为中心而展开对生命伦理的研究蓬勃发展，这些问题的核心内容就是人格生命权利。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。