Convergence and divergence of infinite series depend upon this concept.
无穷级数的收敛性与发散性与此概念有关。
An exact solution is developed in terms of doubly infinite series, using a stress-function approach.
利用应力函数法将精确解按双无穷级数展开。
Property 3 Deleting, adding and altering the finite terms of the infinite series keep the convergence of the series.
性质3在级数中去掉、加上或改变有限项，不会改变级数的收敛性。
This course mainly includes: vector algebra and analytic geometry in space, multivariable calculus and infinite series.
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。
He believed in an infinite series of times, in a dizzily growing, ever spreading network of diverging, converging and parallel times.
他认为时间有无数系列，背离的、汇合的和平行的时间织成一张不断增长、错综复杂的网。
More than 100 terms required in an infinite series are examined to compute all physical quantities under a tolerance of less than 0.005.
本文以误差精度在0.005以下要求 下，测试此无穷级數之最合适之有限项數，发现需要100项能达到要 求。
However, if the principle is assumed, it is surely incongruous to postulate a first cause as a way of escaping from the coils of an infinite series.
然而，如果承认这一原则，那么，假设某种第一推动力以避开无限系列造成的麻烦肯定是不合理的。
In this paper, new criterion of convergence and divergence for infinite series is given by means of the convergence and divergence of infinite integral.
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。
This paper gives a theoretical and analytical solution of the dynamic response for long gas pipeline in the form of infinite series with Bessel functions.
本文以贝塞尔函数级数和的形式，给出了动态特性的理论解析解。
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.
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。
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.
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。
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.
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；
g has to be less than r for this to make sense because if g--if it's growing faster than the rate of interest, then this infinite series will not converge and the value would be infinite.
必须小于r才行得通,因为如果g比利率涨的还快,那么这个无穷序列就不会收敛,价值就是无穷了
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.
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。
Methods in evaluating integrals, some complex variable methods, infinite series, special function, ordinary differential equations, vector and materials, groups and group representations.
计算积分的方法、复数方法、无线级数、奇殊函数、微分方程、向量及矩阵、群论。
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.
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。
The bug will cause the PHP processing software to enter an infinite loop when it tries to convert the series of digits "2.2250738585072011e-308" from the string format into the floating point format.
在PHP程序试图将下列数字“2.2250738585072011e- 308”从字符型转为浮点型数据时，该错误可致程序陷入无限循环。
Display series of Numbers (1, 2, 3, 4, 5... etc) in an infinite loop.
在一个死循环里显示数字串(例：12345…)。
Each human being is composed of a series of images folded into infinite layers and contained within a thin membrane.
每个人都是由一系列戏剧般的形象组成，这些形象层层叠加，直至无穷，最终包裹在无限小的薄膜当中。
If the floor were infinite in extent, the mathematical distribution of reflected light could be regarded in terms of a two-dimensional Fourier series.
如果地板的广度是无限的，那么可以用一个二维傅里叶级数来表示反射光的数学分布。
Infinite Interactive once again combines casual puzzle game elements with role-playing aspects, similar to the puzzle Quest series.
再次无限互动作用结合休闲益智游戏要素扮演方面，类似于拼图任务系列。
Therefore, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.
因此，该问题的解答可归结为对一组无穷代数方程组的求解问题，并可利用截断有限项的方法对其进行计算。
Within the restricted scope, the infinite power series is convergent and the formula is workable.
在规定的范围内该无穷级数收敛，并有计算公式成立。
Suppose that the measuring system is a linear and time invariant SISO system, the digital compensation filter in the form of infinite impulse response is in series with it.
滤波器采用无限冲激响应滤波器的形式，并以系统辨识的方法直接在时域进行设计。
By using the operator generalized line graphs on some integral graphs, a series of infinite integral graphs is constructed.
对一些整谱图，运用一种全新的广义线图算子方法，构造出了一系列无穷多个新的整谱图。
And finally, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.
该问题的解答，可以应用移动坐标的方法逐个满足各个圆孔上的边界条件，因此，最终又可归结为对一组无穷代数方程组的求解，可利用截断有限项的方法对其进行计算。
This again gives the infinite progress, in the shape of an endless series of causes, which shows itself at the same time as an endless series of effects.
这样，于是又发生无穷递进的情形：无穷系列的因同时又表现为一无穷系列的果。
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.
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.
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。
应用推荐