无穷级数的收敛性与发散性与此概念有关。
Convergence and divergence of infinite series depend upon this concept.
给出离散变量的灵敏度之定义，且通过变量的灵敏度分析无穷大量的阶，从而判断常数项级数的敛散性。
This article defines the sensitivity of dispersed variable. And we can use it to analyze the order of a infinite and judge the convergence of a constant term series.
对于两侧直线补给边界水位和补给流量不同的情况，建立了无穷级数表达的非线性方程组；
The nonlinear equation group expressed by infinite series was made up in the condition of different water level and recharge quantity on two lateral linear recharge boundary.
课程内容包括常微分方程、空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as ordinary differential equation vectors and analytic geometry derivatives integration and series.
给出了一种不含导数的函数展开方法，在函数的连续区间内构造一个无穷级数作为函数的展开式。
To construct a progression at infinity as an expansion of function in the continuous interval, a good result was achieved.
和传统的无穷级数求和的计算方法相比，本文所给出的方法更为概念清晰、计算简便。
Comparing with the familiar infinite serial method of summarization this method is more clear in physical concept and simple in calculation.
课程内容包括空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as vectors and analytic geometry derivatives integration and series.
在规定的范围内该无穷级数收敛，并有计算公式成立。
Within the restricted scope, the infinite power series is convergent and the formula is workable.
割圆连比例曾是清代无穷级数研究中所用的主要方法，但对它的研究目前还不够充分。
Cyclotomic continued proportion was the principal method for studies on infinite series in the Qing Dynasty, which we still have to go into a step further.
利用应力函数法将精确解按双无穷级数展开。
An exact solution is developed in terms of doubly infinite series, using a stress-function approach.
文章着重介绍了在正项级数比较审敛法的极限形式中，用等价无穷小的方法来判别正项级数的敛散性。
This paper is mainly about recognizing convergence with the methods of infinitesimal equivalence in the limit form of convergence criterion in series of positive terms .
本课程主要内容包括：向量代数与空间解析几何、多元函数微积分、无穷级数等。
This course mainly includes: vector algebra and analytic geometry in space, multivariable calculus and infinite series.
其根本原因就在于：调和级数去掉若干项后剩余下的项数相对于原调和级数的项数是否为一个低阶的无穷大。
What the most basic reason is: whether the progression's remainders are infinity, compared to its lower one, after the removal of its amount of items.
首次用无穷级数法求解了其临界屈曲时的挠曲线微分方程，并同时用能量法给出了其临界屈曲载荷计算公式。认为能量法求解这种情况下的屈曲载荷比较困难和复杂。
The deflection differential equation of string has been first solved by using infinite series method, and the formula of the buckling critical loads has been obtained with energy method.
对无穷级数的高斯判别法给出了一个注记，推广了高斯判别法，得到了一个更精细的判别法则。
This article offers a footnote about Gauss test for convergence of the positive series, extends Gauss test and establishes a more meticulous test for convergence of the positive series.
一列连续与正弦、余弦函数相乘的无穷级数，若是趋向同一点时，可模拟一系列多种函数。
An infinite series whose terms are constants multiplied by sine and cosine functions and that can, if uniformly convergent, approximate a wide variety of functions.
通过引入计数测度，将数学分析中的无穷级数和测度论中的抽象积分联系起来，并在此基础上对双重连加号中，连加号的次序可以颠倒这个性质给出了一个证明。
Infinite series in mathematical analysis is connected with Abstract integral in the measure theory through counting measure, and a new proof to an important property of infinite series is obtained.
因此，可以用有限级数在一定误差范围内代替无穷级数，从而求出头皮上的电位分布。
Thus the finite progression could be used to calculate the scalp potentials distribution in stead of the infinitive progression in a certain error range.
利用无穷积分的敛散性给出了无穷级数敛散性的一个新的判别法。
In this paper, new criterion of convergence and divergence for infinite series is given by means of the convergence and divergence of infinite integral.
如果没有极限，则称无穷级数发散。
一般齿轮齿形曲线在一点邻域的高阶阶戴劳级数展开后，会发现齿面啮合点邻域间隙为2阶无穷小。
The common gear tooth profile curve launches after neighborhood higher order step taylor's series, can discover the tooth face meshing point neighborhood gap is 2 step infinitely greats.
文章通过对无穷小量与无穷大量的阶的概念研究，用阶的估计讨论数学分析中数列、函数及级数收敛问题，也为收敛问题深入研究提供了一种方法。
This paper studies the concept of infinitesimal and infinity, and discusses the convergence of sequence, function and series with the estimation of the orders.
文章通过对无穷小量与无穷大量的阶的概念研究，用阶的估计讨论数学分析中数列、函数及级数收敛问题，也为收敛问题深入研究提供了一种方法。
This paper studies the concept of infinitesimal and infinity, and discusses the convergence of sequence, function and series with the estimation of the orders.
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