查询词典 infinite series

On the contrary it helps to emphasize this truth, for the same relation of dependence upon a self-existing cause which is implied in the contingency of any single being is implied a fortiori in the existence of an infinite series of such beings, supposing such a series to be possible.

与此相反，它有助於强调了这个真理，为同一关系，依靠自我存在的原因，是隐含在应急任何一个单一的就是隐含更不用说在存在一种无穷级数等人，假设这样一个系列可能的。

Definition The infinite series converges and has sum if the sequence of partial sums converges to ,that is .If diverges, then the series diverges. A divergent series has no sum.

定义如果级数的部分和数列有极限，即，则称无穷级数收敛，这时极限叫做这级数的和，并写成；如果没有极限，则称无穷级数发散。

Real Number System, Euclidean Space and Metric Spaces, Sequences in R and R^n, Differentiability on R and Rn, Integration on R and Rn, Infinite Series of Functions, Fourier Series, Fundamental Theorems of Vector Calculus, Inverse Function Theorem, Implicit Function Theorem and its Applications.

课程内容：实数系，Euclidean空间与距离空间，函数数列，函数级数，连续函数，可微分函数，可积分函数，反函数，隐函数定理及其应用，向量微积分基本定理，富氏级数。

Energy density and particle density in high energy heavy-ion collisions are calculated with infinite series expansion method and Gauss-Laguerre formulas in numerical integration separately, and the results of these two methods are compared, the higher terms and linear terms in series expansion are also compared.

分别用无穷级数展开方法和数值积分计算中的高斯拉盖尔求积法对高能重离子碰撞中能量密度和粒子密度数值进行计算，并对结果及级数展开中的高次项和一次项的大小进行了比较。

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。

Pi, expressed as an infinite series and an infinite product.

丕表示，作为一个无穷级数和无穷乘积。

Infinite sequences appear in a fundamental way in the theory of infinite series.

在无穷级数理论中，无限序列是一个基本的概念。

As analysis becoming more and more rigorous, the theory of infinite series has come into being, which promote the development of mathematics largely.With the development of infinite series as the center, with the variation of thought after t...

本文以无穷级数的发展为中心，以无穷进入数学前后思想变化为线索，系统分析了级数理论形成的历史背景，通过对主要人物工作的总结，概括了级数理论的建立及其发展的过程。

Summation of infinite series is part of the process of learning more difficult to grasp the progression part, this article summarizes the common summation of several infinite series method, as has the use of progression and the definition of sum, the use of itemized points or one differential sum, the use of split-phase elimination method of summation methods, and problem-solving steps in detail.

无穷级数的求和部分是学生学习级数过程中较难掌握的部分，本文归纳了常见的几种无穷级数的求和方法，像有利用级数和的定义求和、利用逐项积分或逐项微分法求和、利用裂项相消法求和等方法，并提出了详细的解题步骤。

The weak formulation permit is satisfied not point by point, finite element method balances only at node neighborhood, in unit balance is not required, in analytical method single check from infinite series does not satisfy the equation, but infinite number of points satisfy the equation, and then the weak formulation of dual system of Hamilton equations was educed.

基于基本方程和边界条件的弱形式，给出相应的广义变分和不同形式的有限元所采用的弱条件，说明弱形式允许不是逐点满足，有限元法只在节点邻域平衡，在单元内不要求平衡，解析法用无穷级数中单取一项也不满足方程，也是无穷多项在积分下满足，进而导出对偶体系弱形式哈密尔顿方程。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。