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.
证明不存在四个连续的二项系数成算术级数。
Prove that no four consecutive binomial coefficients can be in arithmetic progression.
在三缝的情况下，对通过3个缝隙的波相互之间的干涉计算会产生三项级数。
In the case of three slits, the calculation produces three terms describing interference between waves travelling through the three possible pairs of slits.
类似地，绿色的行是第二级数据项(之下的字段是该级别的属性)。
Similarly, rows in green are second-level items (and the fields under that are attributes at that level).
本文提出了一个求解弹塑性激波衰减规律的级数解法，给出了各未知量级数展式的通项表达式。
A series solution for the attenuation of an elastic-plastic shock wave and expressions for the general terms of the series are given in this paper.
我们可删去两项或三项之后的级数。
用假设弱透镜焦距表达式是一个幂级数中的第一项的方法，可以导出相当准确且便于实用的电磁电子透镜物镜焦距公式。
By assuming the weak lens focal length expression to be the first term in a power series a simple and accurate formula can be derived for the objective focal length of a magnetic electron lens.
在估计过程中交直流方程交替求解，并对直流方程采用保留泰勒级数展开式中所有高阶项的方法。
In the process of state estimation, AC and DC equations are solved in turn, keeping all high order derivatives of Taylor series for the DC equation.
应用带补充项的富氏级数法是为了满足任意的边界条件。
The application of the Fourier series with supplementary terms ensures that the arbitrary boundary conditions can be satisfied.
借鉴数论方法中的密率论，给出判别正项级数敛散性的密率判别法，此方法特别适用于判定一些较难或不能给出通项表达式的级数的敛散性。
By using the density theory of theories of Numbers, the article gives the density discrimination method determining the convergence and divergence characteristic of the positive term series.
虽然这项研究并不是用来比较阿瓦斯丁剂量，一项类似的治疗效果，在级数无生存观察到两国之间的武器。
Although the study was not designed to compare the Avastin doses, a similar treatment effect in progression-free survival was observed between the two arms.
本文将以级数为例阐明：给定级数通项的前任意有限项，级数均不能被惟一确定。
In this article, the author will take the progression as an example to clarify that although the arbitrary first finite terms of a progression is given, the progression can't be made certain.
层级数据库按照树状结构存储数据，一份订单记录在它的下面可能有每一行一个项。
A hierarchical database stores data in a tree structure; an order record might have every line item underneath it.
对复杂的几何造型，可以用V级数的有限项精确表示。
A complex geometric model can be expressed with finite terms of the V-series accurately.
在他35岁的时候，他攻克了世界上两项顶尖级数学难题，从此成果迭现，美国十几家大学先后聘请他前去任教。
In his 35 years old, he conquer the world two finest mathematical problems, from now on results, the United States now socio-semiotic dozen universities has hired him to teach.
在求解各级迭代方程中，文中将解近似地用有限项幂级数表示，并数值地求解此级数各项的系数。
In solving each iterative equation, the solutions are approximately expressed by the power series with finite terms and the coefficients of the power series are determined by the numerical method.
本文根据语音可以表示为有限项正弦级数的理论，在把耳蜗流体视为实际的粘性流体的条件下，建立了一种新的听觉模型，并在频域上求出了模型的传输函数。
According to the theory that speech can be represented as a sum of sinusoidal waves, a new auditory model is developed on condition that cochlear fluid is considered as actual viscous fluid.
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。
Property 3 Deleting, adding and altering the finite terms of the infinite series keep the convergence of the series.
首次选取泰勒级数的部分二次项，用一个距原点最近点处拟合的超低维曲面近似极限状态面。
Firstly part of quadratic term of Taylor series is chosen; a low-dimension surface is used to approximate limit state surface; and the modified reliability formula is derived.
在他35岁的时候， louboutin，他攻克了世界上两项顶尖级数学难题，从此成果迭现，美国十几家大学先后聘请他前去任教。
When he reached 35, he managed to solve the two top-level math problems in the world successfully. Since then, dozens of prominent universities in America competed to employ him as a lecturer.
在他35岁的时候， louboutin，他攻克了世界上两项顶尖级数学难题，从此成果迭现，美国十几家大学先后聘请他前去任教。
When he reached 35, he managed to solve the two top-level math problems in the world successfully. Since then, dozens of prominent universities in America competed to employ him as a lecturer.
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