级数的

In this paper, the relevant definitions and theorems of function series continuity and function of the carried out a detailed convergence analysis, so that readers of their intrinsic relationship between the more detailed understanding.

本文通过相关定义与定理对函数的连续性及函数项级数的收敛性进行了详细的分析，使读者对它们之间存在的内在关系有更详细的认识。关键词：函数列；函数项级数；连续性；收敛性；一致收敛性

And the radius of the convergence set of the differentiated series is the same as for the orginal series.

定理5 如果幂级数的收敛半径为则其调和函数在内可导，且有逐项求导公式

Thus we solve the summation problem of slowly convergent series efficiently.

有效地解决了慢收敛级数的求和问题。

It follows from the full-invariant of 〓-multiplier convergent series that 〓-bounded sets also have full-invariant.

据〓数乘收敛级数的全称不变性，得到了〓有界集也具有全称不变性这一重要结论。

The Taylor formula holds the very important status in the differential calculus, especially in solves in some concrete problems to have the extremely important application, for instance the proof inequality, the judgment improper integral collects the divergence, asks the function the limit, asks the function the higher order derivative, determines certain complex progressions to collect the divergence, solves certain differential equation, as well as approximate calculation in and so on application, therefore this article will do the thorough research to these seven aspects.

摘 要：泰勒公式在微分学中占有非常重要地地位，尤其在处理1些具体的茄题中有10分重要的应用，比如证明不等式，判断广义积分的敛散性，求函数的极限，求函数的高阶导数，判定某些复杂级数的敛散性，求解某些微分方程，以及近似计算等中的应用，因此本文将对这七个方面做深入的研究。关键词：泰勒公式；不等式；广义积分；极限；高阶导数；复杂级数；微分方程

A important result is the one-order expression of AR Yt = DYt-1 + E, from paralleling a high-order differential equation transformation into a one-order differential equation system, the one-order expression exposes that the AR is only a certain more-multivariable power series processAnd, if a process is described as an AR, the sufficient and necessary condition is the spectrum norm A of the coefficient matrix D less than one.

作者用高阶微分方程化一阶微分方程组的方法，获得多元弱平稳序列p阶自回归模型的一步滑动平均表达式，证明了AR的是一个更高维的幂级数的线性过程，从而，说明了AR关于序列依概率成立的充要条件是：该模型更高维的幂级数的线性过程的表达式中系数矩阵D的谱范数λ＜1。

Because some years previously in 1886 when occupied with the problem of the quadrature of the circle he had learned of the existence of a number computed to a relative degree of accuracy to be of such magnitude and of so many places, e.g., the 9th power of the 9th power of 9, that, the result having been obtained, 33 closely printed volumes of 1000 pages each of innumerable quires and reams of India paper would have to be requisitioned in order to contain the complete tale of its printed integers of units, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, tens of millions, hundreds of millions, billions, the nucleus of the nebula of every digit of every series containing succinctly the potentiality of being raised to the utmost kinetic elaboration of any power of any of its powers.

351因为几年前在一八八六年，当他埋头于探讨面积等于一个圆的正方形的问题时，他发现了一个数值的存在：倘若精确地计算到某种程度，就能达到比方说九九乘九乘这样庞大的量值和位数。所得数字要用细字密密匝匝地印刷成三十三卷，每卷一千页。为了统统印刷完毕，就需要购入无数刀、无数令印度纸，整数值的位数便是一、十、百、千、万、十万、百万、千万、亿、十亿，一切级数的一切数字作为星云的核心，以简明的形式所包含的累乘的可能性推到了极限地、能动地开展的一切乘方的一切幂级数。

The LP approximation by strong summability of Fourier-Laplace series of a function defined on unit sphere is discussed.

本文讨论了球面函数的Fourier—Laplace级数的强求和在LP尺度下的逼近问题，其结果是球面上强求和的某些已有结果的补充，也可以看成一元或多元Fourier级数相应结果的球面类比。

This paper first Studies the relation between coefficients and the growth of Dirichlit se-ries of zero order in the whole plane,and further proves that the growth of random entire functions defined by random Dirichlet series of zero order in every horizotal straight lines is almost surely equal tothe growth of entire functions defined by its corresponding Dirichlet series.

首先研究了全平面上零级狄里克莱级数的系数和增长性之间的关系，然后证明了对于本级随机狄里克莱级数所确定的随机整函数，在每条水平直线上的增长性几乎必然

This method is tectonic on foundation of nuclear function theory special and linear space, each issue of rank nucleus of progression of the Volterra that seek solution changeover uses output observation vector to be in to beg Xierbaite the some in the space child the umbriferous problem on the space, make originally complex, hard calculative is nonlinear in the approachs a problem to be built in place compose linear space of Volterra progression of the system solve ably with the means that accumulates inside vector, gave out specific algorithm.

该方法在核函数理论基础上构造非凡线性空间，将求解Volterra级数的各阶核的新问题转换为求用输出观测向量在希尔伯特空间中某一子空间上的投影新问题，使原本复杂、难以计算的非线性系统的Volterra级数的逼近新问题在所构建的线性空间中巧妙地以向量内积的方式解决，并给出了具体算法。

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。