数学论文英文版

还是你自己去翻译好。

Topic: the recursive formula for the series - Abstract: recursive formula for the series-of nine types, and various types of solutions for analysis of its status and role. Identify which contains the mathematical literacy and the ability to solve practical problems between the culture of the dialectical relationship between both knowledge, or in the capacity, is further studying other series on the basis of knowledge. The recurrence formula has extensive practical application, in the future continue to learn the basic knowledge of advanced mathematics, and can solve the series of problems - of-law, but also training in computing power and reasoning ability and equivalent transformation function equations, a few - the combination of the important mathematical way of thinking.

In the limit of higher mathematics method, the method of using equivalent infinity substitution limit is rarely mentioned, using the equivalent infinity substitution limit and equivalent infinitesimal substitution limit can have the effect of simplified calculation. In substitution for the product factor can be equivalent infinity substitution, but under certain conditions can also be used to limit the type of the product factor equivalent infinity substitution limit.来自有道翻译

你去找个老外去吧！他更清楚

摘要：为了提取确定性部分 从趋势非平稳时间序列，回归分析 由赤池信息准则（国际慈善协会）的市场规模 和平均粒径的蚕茧丝介绍和 确定性部分是从一系列的大小 蚕茧丝的分析结果。实验 模拟确定性成分on9cocoon类 进行，与实验结果进行了分析。 通过分析和试验，众所周知，选择 该命令和系数的回归方程的汽车工业是 有利于准确地描述之间的关系 部分价值和平均值。这项研究也是有益的 预处理的非平稳时间序列。 导言 在分析尺寸系列（或大小曲线）蚕茧 长丝，还存在着一些有趣的统计问题， 吸收专家研究[ 1,2 ] 。经过测量和 调查长丝规模一些茧类别，大小 这一系列数据茧类可以得到。这些 数据可以被视为家庭的时间序列与 不同长度，这是从非平稳趋势 和自协[ 3 ] 。统一后的一系列长度，我们 能获得家庭的非平稳时间序列的 同样长度[ 4,5 ] 。为了进一步研究这种类型的时间 系列，有必要提取确定性（或趋势） 和随机成分。 对于数学描述，在第一，大小系列 蚕茧丝介绍了回归方程in4 - 为了与论点的长度。因为这项研究并没有 分析了随机组成部分系列， the4th 为了回归方程不能完全说明 纤度的一些茧类和无法使用 模拟系列。此后，方法，时间序列 分析用来研究系列，确定性和 随机成分提取系列， 阶梯自回归模型已提议。那个 随机组成部分进行了分析和模拟的时间 一系列有限长度，相当不错仿真结果 实现[ 6,7 ] 。有两种方法提取 确定性部分的系列，一个是倒退 线性的系列长度参数，另一个是向 回归线性部分尺寸的一系列的论点

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Abstracts: Principle of the use of holes for a broad range, it is a mathematical combination of the most basic principle, the application of the principle holes can solve many problems concerning the existence of a combination of issues. In the 20th century, many studies are directed at holes the promotion of the principle, Ramsey theory, in which reached its is precisely because of the extensive use of pigeon holes principle, and subject to different types of answers to very different methods, so the principle of the structure of holes is also a variety of methods. In this paper, these methods have been collated and summarized to form seven commonly used construction method. Keywords: pigeonhole principle; structure; pigeons; cage; Category