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By using the limits of functions and the exchange limit theorem,we considered the relationship between the double limit of function with two variables and its repeated limit s.

应用函数列的极限与函数的极限交换次序定理，研究了二元函数的二重极限与它的两个累次极限的关系定理，研究了二元函数的两个二阶混合偏导数可交换次序定理。

The uncertain relationship between the double limit and the quadratic limit is explained and the determination methods to the nonexistence of the odd function's limit are given.

本文阐明二重极限与二次极限的不确定关系，给出齐次函数的极限不存在的判定方法。

Addition to outside the EU, and Japan starting in May next year the implementation of the new Food Hygiene Law, which limit pesticide residues in tea leaves also make four major changes: First, limit will be set up by the 83 kinds of pesticide residues to About 144 kinds; second is to be located outside the limits of pesticide residues in all according to "all standards" that limit is 0.01ppm; three adopted the "dry tea Law" testing; four things are clear limits excessive pesticide residues will be treated as illegal .

除了欧盟之外，日本开始在明年5月新的食品卫生法，限制茶叶中农药残留实施叶子也提出四点重大变化：第一，限制将设立农药最多的八十三种约一四四种残留，二是要在所有境外的农药残留量的限制，按照"全标准"，限制为0.01ppm； 3通过的"干茶法"测试；四件事是明确的限制农药残留过量会被视为非法。

Limit induced bifurcation by generator excitation voltage limit was studied, the critical limit was presented and a mechanism of LIB was proposed.

研究由于发电机励磁电压限制导致的极限诱导分岔，发现临界限值的存在并提出一种极限诱导分岔的机理解释。

In this paper, the limit load of buried pipe, that is used in Nanjing city nature gas using engineering, was studied by finite element analysis under various groundsill character, pedestal angle and ground pressure, and the risk assessment for this piping was performed. The limit load of buried pipe was measured by experiments. The research contents and results were as follows:(1) With FEA method, the effects of various groundsill character, pedestal angle and ground pressure on the limit load of buried pipe were studied.

本文主要针对南京市城市天然气利用工程的埋地管道，研究其在不同地基性质、支座包角和地面载荷情况下的极限载荷，并进行了试验研究，同时进行了风险评价，主要研究内容与结论如下：(1)通过有限元计算分析，研究了不同地基性质、支座包角和地面载荷对埋地管道极限载荷的影响。

Chapter 2 deals with some refinements of the central limit theorem for a class of non-uniformly hyperbolic dynamical systems called Youngs system, such as local central limit theorem and so-called Berry-Esseen theorem giving the rate of convergence in the central limit theorem.

在第二、三章中，我们考虑一类重要的非一致双曲动力系统的统计性质-中心极限定理，及其进一步的精细结果如局部中心极限定理，带有收敛速度的中心极限定理。

Some fundamental properties of four arithmetic operations, intersection and union operation, supremum、infimum as well as superior limit, inferior limit and limit operation of bounded closed complex fuzzy numbers are studied.

为了描述这类动态模糊随机现象演化过程的规律性和有效地解决受模糊随机因素影响的振动工程问题，本文建立了严谨的模糊随机过程论和模糊随机振动理论。

Firstly, the connection matrices are strongly connected Boolean matrix, it is shown that the maximum length of limit cycles for FBAM is the period index of the product of the connection matrices. Thus, the maximum limit cycle is reachable. Secondly, two strongly connected components are connected by walks, it is proved that the maximum length of limit cycles for FBAM is the max. of the period index of the two strongly connected components if they are prime, otherwise, it is the least common multiple of the two period index. Finally, n strongly connected component are connected in succession, the method for computing the maximum length is described. By different patterns are presented to the networks, diminishing the number of the strongly connected components until only two components.

第一，连接权矩阵为强连通布尔矩阵，此时模糊双向联想记忆网络的最大极限环长度为连接权矩阵乘积的周期指数，从而极限环具有可达性；第二，两个强连通分支有路径连接，此时如果两个强连通分支的周期指数互素，那么网络的最大极限环长度为其最大者，否则，网络的最大极限环长度就等于二者的最小公倍数；第三，n个相邻强连通分支有路径连接，给出了计算最大极限环长度的方法，通过激发模式的变化，逐渐减少强连通分支的个数，直到只有两个分支。

The article put forward the concept of limit value, discussed element to use value limit degressive sex and commodity value and the limit that produce cost increase by degrees sexual relation, on this foundation, to commodity supply price decides theory and supply flexibility make new explanation theoretically.

本文提出了边际价值的概念，论述了要素使用价值边际递减性与商品价值以及生产成本的边际递增性的关系，在此基础上，对商品供给价格决定理论和供给弹性理论作出新的解释。

Chapter 2 deals with some refinements of the central limit theorem for a class of non-uniformly hyperbolic dynamical systems called Young\'s system, such as local central limit theorem and so-called Berry-Esseen theorem giving the rate of convergence in the central limit theorem.

在第二、三章中，我们考虑一类重要的非一致双曲动力系统的统计性质-中心极限定理，及其进一步的精细结果如局部中心极限定理，带有收敛速度的中心极限定理。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。