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This paper introduces the Taylor formula of one dollar and multi-definition, then the proof of the value from the formula, respectively, that inequality in the value of derivatives is estimated that about industry estimates, demand infinity limit, the median point of the limit function limits, approximation, function equations and so on Taylor formula to do the induction.

本文首先介绍了一元和多元泰勒公式的定义，然后分别从证明中值公式，证明不等式，导数的中值估计，关于界的估计，求无穷远处的极限，中值点的极限，函数的极限，近似计算，函数方程中的应用等方面对泰勒公式的应用做了归纳。

The microsecond response time of power semiconductors allows them to limit fault current to low levels, and consequently limit the system energy that must be managed (i.e. dissipated).

在功率半导体微秒的响应时间使他们能够限制故障电流保持一个较低的水平，从而限制了系统的必须加以管理的能量。

This kind of with proviso limit's minimum problem is called the condition minimum problem, its general form is under the condition limit, asks function F the extreme value.

这类附有条件限制的极值问题称为条件极值问题，其一般形式是在条件限制下，求函数F的极值。

In determining the volume of the upper limit, the same property should make the minimum threshold limit density to control the construction of high-end villa.

在确定容积率的上限时，同样应对房产密度做出最低下限限制，从而控制高端别墅的建设量。

Some limit properties of the multivariate function sequences of the nonnegative integer-valued random variables are studied by using the differentiation of measures on a net and the conditional moment generating function s, and some strong limit theorems related to the conditional expectations are obtained.

利用测度关于网的微分法和条件矩母函数的工具研究非负起值随机变量多元函数序列的极限性质，得到了若干与条件数学期望有关的强极限定理

Based on chapter two, In chapter three, the method of multiple scales is introduced to the study of the multiple-dimensional nonlinear stochastic systems under random external excitation. Using method of multiple scales, we strictly deduce the equation of modulation of amplitude and phase. The effects of random excitations are analyzed; numerical simulations verify the results. Theoretical and numerical simulations show that when the intensity of the random excitation increases, the nontrivial steady state solution may be changed from a limit cycle to a diffused limit cycle.

在第二章基础上，第三章将多尺度法引入到相应的随机系统的研究中；严格推导了系统的约简方程，用矩方法求出稳态解应满足的方程，获得一些结果；并且数值模拟结果与理论推导的结果是一致的；并注意到，与其对应的确定性系统相比较，系统响应从周期解变为近似周期解，系统的相轨线从极限环变为扩大的近似极限环；随着激励带宽的增大，此扩大的近似极限环的宽度将增大。

And on the limit of Gad, on the south side and to the south of it, the limit will be from Tamar to the waters of Meribath-kadesh, to the stream, to the Great Sea.

48：28 迦得地的南界是从他玛到米利巴加低斯的水，延到埃及小河，直到大海。

At present, many text books that have been published in the my home country or foreign country, especially the Signals and Systems writing by Oppenheim A V and Signals and Systems writing by Haykin Simon, introduced the methods by use of the graph to determine the up limit, low limit and the exist interval of the integral or convolution sum.

目前国内和国外出版的《信号与系统》教材，特别是电子工业出版社出版的两位著名学者Haykin Simon。和Alan V.Oppenheim分别写的教材《Signals and Systems》都采用图解的方法求解连续信号的卷积积分和离散信号的卷积求和。

In [2], Kirkland characterizes the limit points for algebraic connectivity of trees in terms of Perron values of certain positive matrices, and finds the four largest elements of limit points for algebraic connectivity of trees together with the corresponding branches.

Kirkland在文献[2]中用正矩阵Perron值的方法刻划了树的代数连通度的极限点，并给出了树的代数连通度的前四大值和达到这些数值相应的分支。

The detection limit of the method was 1.7μg/kg, and the limit of quantitation was 5.6μg/kg. Conlusion: This method shows simple, accurate, rapid and good precision, and can be applied in the determination of plumbum in soy sauce.

采用氯化钯和硝酸铵为基体改进剂，用石墨炉原子吸收法直接测定酱油中的铅，是测定酱油中铅的一种简便、快速、准确的方法。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。