积分公式

By use of symmetry of integral domain to coordinate surface, coordinate axis and coordinate origin, some useful formula to compute the integral are constructed, which are illustrated very useful and effective.

通过对积分区域的对称性和被积函数的奇偶性的讨论，从积分区域关于坐标平面、坐标轴和坐标原点对称出发，建立了简化各类积分计算的常见公式，并用例于展示了公式的有效性。

It is difficult to compute directly the coefficients from the integral formula, since the integral function in the formula of the ideal digital fractional differentiator is a high-order oscillating function.

从理想数字分数微分器系数计算公式的特点考虑，利用变量代换把积分函数中的振荡因子转换成积分上限，避免高阶振荡函数积分计算，给出了计算分数微分器系数的递推公式。

According to a given function, namely, composite trapezoidal formula using composite Simpson formula Romberg quadrature formula and the variable step-size integration quadrature formula results, and compare the accuracy of points.

详细说明：根据给定的函数，分别用复合梯形公式、复合辛普森公式、龙贝格求积公式和变步长的求积公式计算积分结果，并且比较积分的精确度。

Plot --- composite numerical quadrature formula to solve the problem of integration functions for composite tr...

数值积---复合求积公式对积分问题的求解功能用复合梯形求积公式和复合抛物线公式，对给定的积分问题进行计算。

Plot --- composite numerical quadrature formula to solve the problem of integration functions for composite trapezoidal plot formula and compound parabolic formula, the right to issue integral calculation.

数值积---复合求积公式对积分问题的求解功能用复合梯形求积公式和复合抛物线公式，对给定的积分问题进行计算。

Based on the Collins integral formula, the propagation of generalized hypergeometric beams in paraxial ABCD optical systems is studied and the analytical expressions for complex amplitude at output plane are obtained.

利用柯林积分公式研究了广义超几何光束在ABCD近轴光学系统中的传播行为，得到了光束在输出平面复振幅的解析表达式。

But hardly can be found the works for analyzing the buckling of delaminates in the smart structures and materials employing finite deformation theory and bias electric field theory under bending. Analyses of these problems are important and benefit for studying the damage problems in the intelligent devices.

在所看到的文献中只有Kardomateas使用了结构力学梁理论，借助于椭圆积分公式对复合材料脱层在纯弯曲作用时的屈曲行为进行了研究，并且和实验进行了对比。

It adopts the single chip computer control calculation meritorious service capacity, and parameters such as real power, reactive power, meritorious service rate element, tension fundamental harmonic virtual value and tension harmonious wave virtual value and so on these are separation to the calculation branch to the measurement that on the basis of the scattered integration formula in immediate future scattered Fourier transformation, the exchange basseted on to power system parameter sampling idea was achieved to adjust all the journey moreover the frequency alternating current frequency and the tension virtual value as well as the electric current virtual value in the way of software .

它采用单片机的控制运算功能，根据离散积分公式即离散傅立叶变换，基于对电力系统参数进行采样的思想，实现同时对一路工频交流电的频率、电压有效值、电流有效值的测量，用软件计算分析出有功功率、无功功率、功率因素、电压基波有效值、电压谐波有效值等参数。

It adopts the single chip computer control calculation meritorious service capacity, and parameters such as real power, reactive power, meritorious service rate element, tension fundamental harmonic virtual value and tension harmonious wave virtual value and so on these are separation to the calculation branch to the measurement that on the basis of the scattered integration formula in immediate future scattered Fourier transformation, the exchange basseted on to power system parameter sampling idea was achieved to adjust all the journey moreover the workmans frequency alternating current frequency and the tension virtual value as well as the electric current virtual value in the way of software .

它采用单片机的控制运算功能，根据离散积分公式即离散傅立叶变换，基于对电力系统参数进行交流采样的思想，实现同时对一路工频交流电的频率、电压有效值、电流有效值的测量，用软件计算分析出有功功率、无功功率、功率因素、电压基波有效值、电压谐波有效值等参数。

The foundation soil is divided for finding the ultimate bearing capacity of a foundation with given buried depth and size. Supposing a uniform load acts on the foundation, Mindlin's integral formula and comer points method are used to get extra stress of every mesh knot by MATLAB program, then the principal stress is found. Combining with failure criterion, MATLAB program is used to find coordinates of points which are destroyed. Using graphic processing function of MATLAB, the failure points are showed in the coordinate.

为确定作用在已知埋深、给定基础形状地基土上的极限承载力，对基底下的土体进行网格划分，先假定一均布荷载作用在此地基土上，运用明德林解的积分公式，结合角点法，编制MATLAB语言程序，求出每个网格节点上附加应力，进而求得每个网格节点上主应力，根据破坏准则，结合程序找出破坏点的坐标，利用MATLAB的图形处理功能，把破坏点的坐标在坐标图中显示出来。

This paper analyzes the compound attractor structure of a new three-dimensional autonomous chaotic system.

分析了一种新的三维自治混沌系统吸引子的复合结构。

ON shut rivals out of their transmission systems and shy away from reinvesting their profits in network improvements.

ON将竞争者挡在了其输送体系之后，并不愿将其收益再投资于网络改建工作。