积分曲线

The non symmetric vibrating character of shaking table is an important factor influencing on shaking table separation and is also the main basis for determining correctly the parameters of shaking table .

针对这一问题，根据实测的摇床振动位移曲线，利用频率分析法和近似积分的原理，采用 E1、E2和 C参数的差动特性系数对摇床差动特性进行了综合评定。

This course provides a basic introduction of topics such as: interpolation, solution of nonlinear equations, curve fitting to measured data, numerical linear algebra, numerical integration, numerical differentiation, etc..

本课程介绍内容包括：内插法，非线性方程式求解，曲线近似法，线性代数数值运算，数值积分，数值微分等课题。

The gamma function calculation of Pearson type III distribution is investigated,a new approximation method by using cone curve is put forward,and neither numerical integral nor series expansion may be used.

对皮尔逊Ⅲ型分布公式中伽玛函数的计算问题进行了研究，提出了一种新的数值逼近方法，在一定范围内对伽玛函数用圆锥曲线表示，利用递推公式扩大参数范围，免去了数值积分和用级数展开计算的麻烦。

Through the Lagrange's equation,the nonlinear vibration equation of a particle non-harmonic oscillator is established;the curves of the restoring force and potential energy varying with coordinates and phase plot are drawn.

利用拉格朗日方程建立了单质点弹簧振子非线性振动方程，作出了回复力、势能随坐标的变化曲线以及相图。应用第一类完全椭圆积分求出了非线性振动周期的精确解。

The paper proposed an approach for linear piecewise interpolation algorithm based on gray integral projection in light of the vectorization of record curve on plotting paper.

孔令旺，硕士，主研领域：图像处理与模式识别，网格技术针对坐标图纸记录曲线矢量化，提出了一种基于灰度积分投影的分段线性插值算法。

Therefore,a series studies of ice-pier vibration are performed from different aspects in this paper.The main work of this his thesis is summarized as follows:(1) Ice response spectra is proposed based on the idea of a seismic response spectra analysis of str .. uctures.Firstly,ice response spectra on the basis of power spectra density function is established;Secondly,based on the assumption of quadratic parabolic interpolation method,the nonlinear interpolation analysis method of ice response spectra is studied from both theoretical and practical points of view,and the successive computation formulas including ice displacement,velocity and acceleration response spectrum are deduced by Duhamel integral.Furthermore,to analyze the effectivity and applicability of the method, the real temporal curves of ice pressure are used to be studied.The results show that the presented method is more convenient and accurate to study the structural response induced by ice force,also it can be effectively applied in the design of ice resistance.

鉴于此，本文针对冰激桥墩结构振动问题从不同方面展开了一系列与之相关的研究，主要研究内容如下：(1)根据结构抗震反应分析思想提出了冰振反应谱，首先建立了基于功率谱密度函数的冰振反应谱；其次借鉴地震反应谱内插法的思想从理论和实际观点出发，假定在等距离微小时间间隔内冰荷载按二次抛物线规律变化，由Duhamel积分推导出冰振位移、速度以及加速度反应谱的一系列连锁公式，建立了基于非线性内插法的冰振反应谱，并利用实际冰压力时程曲线进行了冰振反应谱数值分析，为以后冰激结构振动的研究提供一种方便、简捷、精确的分析方法，也能够将其有效地应用到结构的抗冰计算中。

We use the boundary integral method to simulate the spherically symmetric collapse of a cavitation bubble, a free-surface potential problem having analytical solution. Evolving error curves are given in the thesis, and the influences of various discretization methods on the accuracy and the stability are compared.

我们使用边界积分法模拟空化气泡的球对称溃灭，一个具有分析解的自由面势流问题，给出了计算误差的演化曲线，比较了各种数值离散法对精度和稳定性的影响。

Applying the boundness and some propertities of the mean of integration, we get the sufficient condition of weak persistence in the mean, and the curve of demarcation between weak persistence in the mean and going-to death.

本文利用比较原理证明系统解的有界性，由解的有界性及积分均值的一些性质得到了种群弱平均持续生存的充分条件，并在一定条件下得到了种群弱平均持续生存与绝灭之间的分界曲线。

Applying the boundness and some propertities of the mean of integration, we get the sufficient condition of weak persistence in the mean, and the curve of demarcation between weak persistence in the mean and going-to death. An optima!

本文利用比较原理证明系统解的有界性，由解的有界性及积分均值的一些性质得到了种群弱平均持续生存的充分条件，并在一定条件下得到了种群弱平均持续生存与绝灭之间的分界曲线。

By simulating and spitting of the line atδ145, we were able to show five isotropic components at δ134.6,δ139.6,δ145.1,δ147.9 and δ149.1, and the numbers the inequivalent sp2 carbons neatly dovetailed with the integral areas of the every line.

我们利用拟合分峰的方法得出了这五个不等价的碳原子的峰的位置，分别位于δ134.6、δ139.6、δ145.1、δ147.9 以及δ149.1，这五个不等价的碳原子数目上的比例关系和核磁共振曲线的积分面积吻合。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。