查询词典 remainder of an infinite series

A method of integrating infinite integrals which occur in axisymmetrical field in eddy current testing is presented. Subtraction of asymptotic terms is proposed to speed up the truncation process of an infinite integration interval, which greatly improves the integration of infinite integrals.

本文对涡流检测中解析求解轴对称场时遇到的无穷积分给出一种简单有效的数值积分方法，提出一种改进积分收敛性的方法，加速了无穷积分的截断，显著提高了轴对称场的计算效率。

First, in the physics level, emptiness of Buddhism means dependently rising's infinite possibilities, and science also finally point to "infinite great" and "infinite small" with the quest of macro scale and microcosmic, both of common targets is contact with whole, organic, and subjective-objective unity the purpose is to find out the truth of universe.

一、 从物理学层面看，佛教之"空"本指"因缘和合"、"真空妙有"的"无限可能性"，而科学对宏观本体与微观本体的探索也最终指向"无限大"与"无限小"，两者共同的目标是在整体的、有机的、主客观交融的普遍联系中探索与揭示宇宙存在的实相与本来面目。

To suit it for this usage, the ideal operational amplifier would have infinite input impedance, zero output impedance, infinite gain and an open-loop 3 dB point at infinite frequency rolling off at 6dB per octave.

为了得到这样的特性，理想 OP 应该有无限大的输入阻抗，0 输出内阻抗，无限大的增益，无限大的开环增益带宽(3dB 带宽)，以及其 6dB/每 2 倍频程的频率滚降。

Firstly, the existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay under the uniformly Lipschitz condition, linear grown condition and contractive condition can be directly derived; And the moment estimate of the solution and the estimate for error between the approximate solution and the accurate solution can be both given; If the uniformly Lipschitz condition is replaced by the local Lipschitz condition, the existence and uniqueness theorem can be gained; Meanwhile, the existence and uniqueness of the global solution in the interval 0,+∞ can also be obtained; Secondly, L~p-exponential estimate of the solution for neutral stochastic functional differential equations with infinite delay can be studied; At length, the theorem of the local solution about neutral stochastic functional differential equations with infinite delay only under the local Lipschitz condition and the contractive condition can be established.

首先，在一致Lipschitz条件，线性增长条件和压缩性条件下，直接得到了具无限时滞中立型随机泛函微分方程解的存在惟一性，并给出了解的矩估计，近似解与精确解之间的误差估计；将一致Lipschitz条件替换为局部Lipschitz条件，也得到了具无限时滞中立型随机泛函微分方程解的存在惟—性，同时，也给出了在整个区间0，+∞上具无限时滞中立型随机泛函微分方程解的存在惟一性定理；其次，也讨论了具无限时滞中立型随机泛函微分方程解的L~p指数估计；最后，在局部Lipschitz条件和压缩性条件下，建立了具无限时滞中立型随机泛函微分方程局部解的存在惟一性定理。

In this project, the stability of a class of complex dynamical system with infinite dimensions is investigated. The dynamical systems are described by the infinite differential equations with time delays. The comparison principle of the stability for the infinite dimension system is obtained.

本项目研究一类以无限个具有时间滞后的常微分方程关联而成的复杂动力系统的稳定性，建立了这类无限维系统中的比较原理，得到了无限维比较系统的稳定性条件和比较系统的集结方法，建立了无限维复杂时滞系统稳定性分析的矢量Liapunov方法。

In the world within may be found infinite Wisdom, infinite Power, infinite Supply of all that is necessary, waiting for unfoldment, development and expression.

内在世界的和谐，将会通过和谐的景况、惬意的环境以及万物的最佳状态反映在外在世界中。

C The semi-infinite crack propagating in infinite region with the fiber bridging traction action is equal to the semi-infinite crack propagating in strip.

(3)受桥联纤维力作用的半无限长裂纹在无限域中扩展等效于半无限长裂纹在带域中扩展。

The conclusions are: The sonic velocity determined by the material's properties is the upper limit of the crack velocity; Bridging fibers plays a key role in increasing the composite's toughness and stopping the crack's propagation; The semi-infinite crack propagating in infinite region with the fiber bridging traction action is equal to the semi-infinite crack propagating in strip.

结论有：(1)由材料性能决定的音速是裂纹传播速度的上限；(2)桥联纤维在增韧复合材料和组织裂纹扩展中起了关键作用；(3)受桥联纤维力作用的半无限长裂纹在无限域中扩展等效于半无限长裂纹在带域中扩展。

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。

Step from the road to the sea to the sky, and I do believe...

你给的答案是一个自私的懦夫，你显然。

Last night a big gunfight broke out between the narc police and pushers in this block and at last all of the pushers were arrested .

我的翻译：昨晚警察和毒贩在这个街区展开了枪战，最总所有的毒贩都被逮捕了。