积分的

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

The algorithm GS to solve the problem of inverse dynamics based on the optimal theory is proposed, by using the numerical methods of Gill and shooting target, the optimal joint driven torques are obtained With the smooth joint trajectory motion, a fast and stable inverse dynamics method is proposed, it provides a new effective way to control the flexible manipulator The trajectory planning in the joint space and Cartesian coordinates is especially discussed In terms of kinematics of space flexible link manipulators, a sequential integration method for inverse dynamic analysis of flexible manipulators is developed The concrete results of simulations tested and verified the validity of proposed methods, and some valuable conclusions are achieved.

提出了求解基于最优理论的柔性臂逆动力学问题的GS法(Gill—Shooting method)，得到了柔性臂关节的最优驱动力矩；提出了基于光滑关节运动轨迹的柔性臂逆动力学的快速稳定方法，为柔性臂控制提供了一条新的途径；探讨了关节空间和直角坐标空间柔性臂的轨迹规划问题；研究并完善了结合柔性臂运动学的顺序积分的逆动力学方法。通过具体实例的仿真研究，验证了所提出的柔性臂逆动力学方法的有效性，得出了一些很有价值的结论。

To study the taxiing-induced dynamic response of the aircraft with multiple wheels and multiple landing gears due to runway unevenness, base on several reasonable and necessary assumptions, the mathematical model of aircraft in taxiing is established using the d'alembert's principle. It can simulate taxiing inpact properties accurately, it considers in detail the vertical and horizontal motion and pitching about its center of gravity and the significant symmetric elastic modes.

在一些必要合理的假设下，利用达朗贝尔原理，建立了多轮多支柱式及小车式起落架飞机地面滑跑动态响应分析的全机模型，考虑全机沉浮、机体弹性和定常气动力的影响，起落架支柱的弹性变形，小车式起落架的车架的俯仰运动以及弹性变形，对等速滑跑飞机建立了全机运动的微分方程，并以旧金山28-R跑道为地面输入，利用时域积分的方法得到飞机滑跑的各种响应。

For example, Donagi and Witten found that the spectral curves of these integrable many body systens are identified with the Seiberg-Witten curves of the Seiberg-Witten theory. More recently, Dijkgraaf and Vafa found the information about the superpotentials of the chiral fields in some N = 1 SUSY gauge theories from the planar diagram of certain matrix integral.

例如，Donagi和Witten等人发现可积系统的谱曲线和Seiberg-Witten理论中的Seiberg-Witten曲线相互等价，Dijkgraaf和Vafa等人从正则矩阵积分的平面图中找到了N=1的超对称规范理论中手征场的超势的一些信息，同时N。

It is proved that the method using the BEM to calculate the load distributions on the contact lines of involute gear pair, in which the applied load is taken in the form of a concentrated one at a single node, is not suitable. A method in which the tractions of the BEM are made to imitate the Hertzian pressure of the gear using 8 nodes isoparametric elements is introduced.

本文解决了边界元法在空间啮合副计算中存在的系数矩阵的存储，奇异单元积分的计算、表面不连续点处面力一点多值和求解未知量的线性方程组矩阵元素的计算等问题，编制了比不采用上述处理方法的一般边界单元法节省近一半内存和计算时间的适合空间啮合副的三维边界元法计算程序。

It is well known that the Cartan form is nonunique for higher-order Lagrangian density, we find it was caused by higher-order mixed multiple integral in using Stokes formula in actually calculus variation.

众所周知，高阶Lagrangian对应的Cartan形式是不唯一的，在实际的变分计算中，我们发现Cartan形式的不唯一性是由利用Stokes公式求高阶混合多重积分的不唯一性引起的。

Especially, the difference of the nearest-neighbor hopping integral is due to the effect of the curvature of the carbon nanotubes. So, in fact there is a very narrow energy gap near the Fermi energy of unsquashed metallic zigzag carbon nanotubes, and, a slighter deformation is required to open a considerable energy gap in metallic zigzag carbon nanotubes than that in armchair nanotubes.

特别是，最近邻格点之间的跃迁积分的变化与碳纳米管的曲率紧密相关，因此实际上，理想金属型 zigzag 碳纳米管本身具有微小能隙，而施加比 armchair 碳纳米管小的多的压缩量，就可以使金属型 zigzag 碳纳米管在费米能处打开相当的能隙。

Golikov as the general and single-valued criterion for evaluating the acoustics of rooms and auditori- ums have been critically examined,with detailed discussionsconcerning:(1) the empirical foundation of the articulation-Q"functional relationship A= f,(2)the derivation of the"particular criterion"or the optimum re- verberation condition form Q",(3)the meaning of a time integration of the "noise-interference factoras viewed from the theorey of auditory perce- ption...

主要内容有：(1)以在不同的条件(如语言、测试人员、宣读方式以及声学场所等)之下的清晰度测验结果来验证 A=f函数的适用性，(2)判断了从Q&来推求以体积为参数的最佳混响时间的可能性，(3)，从听觉理论来讨论&混响干扰因子&对时间积分的意义，(4)讨论了原作者对&噪声因子&的看法，指出了&噪声因子&定义中的一些值得存疑之处。

By means of the'material time derivative'relation of strain rate and strain, and the coordinates mapping in deformation zone, the different equations for solving strain and a subsequent recurrent solution are formulated.

第三，在Orowan轧制平衡方程的基础上，考虑温度，应变以及应变速率对材料流动应力的影响，改进了求解单位轧制压力的解析求解模型，采用数值积分的方法得到了能够反映温度变化和加工硬化等影响的轧制力的计算方法。

In NWFM,to solve self-consistently the set of DFT Kohn-Sham equations,nuclear weight function is employed for numerical solution of multicenter integra-tion,which decomposes the problem of three dimensional integration to a sum ofone-center,atomic-like integrations.

首先介绍如何利用线性组合的原子轨道方法求解密度泛函理论中的K-S方程；接着详细地说明了核权重函数的概念，并列出了两种常用的核权重函数形式，同时阐述了如何利用核权重函数求解包含多中心积分的矩阵元以及复杂的三维泊松方程以获得电子间库仑势的方法；然后给出了求解矩阵元、有效势以及体系总能的具体数值计算公式。

This paper discusses design and realizable methods of remote test output interface from logical design angle.

本文从逻辑设计的角度讨论遥测输出接口的设计及实现方法。

This also 星体投射plies to buildings, structures and geological features.

这也适用于建筑物和地质特征。