积分公式

First,the basic formulas solving the artificial earthquake wave compatible with object response spectra are established;the integration equations are translated into the algebraic equations by interpolation function.

首先，从单质点系在地震作用下的反应出发，直接推导了求解与目标反应谱拟合的人造地震动基本公式；随后，利用插值函数将积分方程变换为代数方程组，进而从反应谱的变分求得人造地震动的时域变分。

Deducing the formula of current and temperature compensation coefficients within the ampere-hour integral method.

推导出安时积分法中电流和温度补偿系数的计算公式。

On the situation of certain integral time, the expression of anti-scanning angular velocity of the pointing mirror was deduced.

对于积分时间一定的情况，推导出指向反射镜的反扫角速度公式。

Both of them are the normal distance of the tangent plane at the check point on the limit state surface in the generalized stochastic space and the asymptotic formula for Laplace''s integral respectively.

提出了利用广义随机变量空间失效极限状态曲面上验算点处切平面法线和Laplace型积分渐近公式两种确定任意分布的荷载变量相关下结构的可靠指标的新方法，改进了现行防波堤失效概率计算理论。

Secondly, a asymptotic approximation formula of structurefailure probability is presented in generalized stochastic space with correlatedrandom variables by the asymptotic method of Laplace integral, by which the failureprobability and risk analysis on the chamfered vertical breakwater have been done.

其次，利用Laplace型积分的渐近计算方法，还推导出了广义随机空间相关荷载变量作用下结构失效概率的一个新的渐近计算公式，并依此算法对削角直立堤进行失效概率的计算以及风险评估。

By using the limit theory,we discuss and prove the asymptotic properties of mean point in integral mean value formula for a complex function.

利用极限理论，给出了复函数积分中值公式的"中值点"的渐近性的简洁证明。

The authors intend to discuss and prove the asymptotic properties of mean point in integral mean value formula for a copmplex function.

给出了复函数积分中值公式的"中值点"的渐近性，相信在复函数中有着很重要的作

Using MATLAB software have trapezoidal formula, Simpson formula and Monte Carlo numerical integration method.

用MATLAB软件掌握梯形公式、辛普森公式和蒙特卡罗方法计算数值积分。

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下：&此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。&

We used different methods to calculate luminosity in order to assure its reliability. Structure function method is adopted to derive the radiatively corrected cross section whose accuracy is up to 1%. The corrections from vacuum polarization and effect of energy spread are also studied. The final analytical approximation formulaes of the observed cross sections are worked out. Different fitting methods are carried out to fit the resonances according to different requests.

模拟的分布图的仔细对比，并兼顾实验的要求，得到每种事例对应的选择条件，特别是在处理积分亮度时，更是采用了不同的方法，以保证亮度计算的可靠性；采用结构函数的方法推导出截面的辐射修正公式，精确度达到了1％的水平，研究了真空极化给拟合公式带来的修正，并考虑了束流能散的影响，计算出最终的观测截面的解析近似式；对于三个共振态的拟合，针对不同的要求，采用了不同的拟合方法；同时在M.C。

The good news is that after formatting from the command line to FAT32 (format /fs:fat32 /a:4096 drive:) all but one of the problematic games that I tested work perfectly.

好消息是，从指挥线后格式化了FAT32(格式/曾荫权：了FAT32/答：4096年径：)所有问题，但其中的游戏测试工作，我很好。

In Amsterdam. He is a Dutch painter, draftsman, and etcher of the 17th century, the greatest artist of the Dutch school, a master of light and shadow whose paintings, drawings, and etchings made him a giant in the history of art.

伦勃朗是一位17世纪画家、绘图家、版画家，荷兰学派的最伟大艺术家，他的明暗法的大师，他的绘画、素描和版画使他成为一位艺术史上的巨匠，其画作体裁广泛，擅长肖像画、风景画、风俗画、宗教画、历史画等。