函数的积分

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。

A method for the generation of Weierstrass fractal surface is presented,based on Helmholtz equation,with the Kirchhoff approximation,the calculus formula of light scattered field on the 1-D Weierstrass fractal suface is deduced.

采用Weierstrass分形函数模拟实际粗糙表面，从简谐光波满足的亥姆荷兹方程出发，利用基尔霍夫近似推导出一维Weierstrass分形粗糙表面的光散射场的积分公式，考虑遮蔽效应后数值计算并分析了表面散射光强的角分布特性。

The numerical results demonstrate that the MEI coefficients obtained using the technique,which takes dipole layer excitation as the "Metron" and the Green function in free space as the integral Kernel,are of higher precision over other techniques.

数值结果表明，利用电偶极子层激励作为测试子和自由空间格林函数作为积分核确定MEI系数的方法，比之其它方法具有更高的精度和明显的优点。

Basing on thesingular integral operators T with weaker kernel introduced in chapter two,westudy the weighted boundedness on〓(1＜p＜∞)and the endpoint estima-tes of their higher order commutators with BMO functions in chapter three.

对第二章引入的弱核奇异积分算子，第三章主要讨论它们与BMO函数的高阶交换子〓在〓上的有界性及端点估计。

We study its integral representation , estimate of coefficients,maximum modulus estimates.

本文引入了某族定义在单位圆内的解析函数，研究了它们的积分表示，系数估计，最大模估计及其子族的Fekete－Szego不等式，获得了一些较有关文献更一般的结果。

The integrating factor and the modifying factor were applied in controller, and interpolation method was used in the modifying factor fuzzy number model. A fuzzy switching mode was employed to avoid the undesirable disturbances caused by the switchover between the two control methods, and execution area of the fuzzy switchover can be set by membership function.

控制器中引入积分因子和自调整修正因子，对修正因子模糊数模型采用在线插值运算；采用模糊切换来保证2种控制的平稳过渡，模糊切换的执行区域可通过设定其隶属函数的形状参数加以确定。

Append A presents the formula of a singular integral with a complex parameter, by combining of the residual methode and the law of sines.

在附录A，联合使用保角变换法、留数定理和正弦函数的欧拉公式，求出了一类含有复参数的奇异积分的具体计算公式。

Recurrent formulas for calculating the coefficients of the Legendre polynomial and the expressions for calculating the sedimentation coefficient are deduced analytically.

为了研究多分散低Péclet数沉降问题，我们先以Legendre多项式展开法得到了计算对分布函数的普遍递推式，以及由Legendre多项式的系数表示的沉降积分。

This article investigates the two-point boundary value problem to a coupled system of nonlinear fractional differential equations. By applying growth conditions on the nonlinear terms, we obtain an existence result of solutions. Our analysis relies on the Schauder fixed-point theorem and the reduction of the considered problem to the equivalent coupled system of integral equations.

本文讨论非线性分数阶微分方程耦合系统的两点边值问题，应用Green函数，将其转化为等价的积分方程耦合系统，并设非线性项在无穷远处有增长条件，应用Schauder不动点定理证明解而非限于正解的存在性。

Solveing to some extent problem to define hidden layer node number of feed forward networks,and makeing successfully it to apply to solve weierstrass theorem of that is polynomial approach continuous function;and establishing dynamic mathematical neural networks of Romberg integration.

从而在一定程度上解决了前向神经网络隐层结点数无法确定的难题，并成功地将其运用于解决用多项式逼近连续函数的魏尔斯特拉斯定理，并建立了龙贝格求定积分的动态数学神经网络模型。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。