detection function meaning in Chinese
检测函数
Examples
- The paper consists of two parts . in the first part , the definitions of zq - equivariant vector fields and the method of detection functions are stated . in the second part , a concrete numerical example of z8 - equivariant perturbed planar hamiltonian system of of degree 7 is constructed , and for the unperturbed vector field having maximal number of centers , its global phase portraits are analyzed
本文由两部分组成，第一部分为综述，介绍了z _ q -等变向量场以及判定函数法；第二部分首先讨论了一类7次z _ 8 -等变的平面hamilton系统，研究了具有最大中心数时的hamilton系统可能存在的部分全局象图。 - In the fourth part , by using the bifurcation theory of planar dynamical systems and the method of detection functions , the paper gives a configuration of limit cycles forming compound eyes . with the help of numerical analysis ( usi ng maple ) , it is shown that there exist parameter groups such that a z7 - equivariant planar polynomial vector field of degree 7 has at least 36 limit cycles with z7 - symmetry
然后，对于一组特定的参数值，研究了它的相轨线的变化趋势；第四部分指出：在一定的条件下，利用平面动力系统分支理论以及判定函数法，在计算机数学软件( maple )的帮助下，得到结论： 7次z _ 7 -等变平面向量场至少有36个极限环，形成具有z _ 7 ?对称性的极限环分布。 - Assemble design is very important as a part of bridge crane design . as a visual reality technology applied in design and manufactual field , visual assemble technology has been gained quiet great development . some visual assemble system has been applied in industry . the research in this paper is combining vr and cad technology , to develop a special design system for bridge crane . in the study , we choose a advanced 3 - d cad software - solidworks to modeling the crane , and use an object oriented computer language - visual basic for secondary development of solidworks by its api function and ole interface . in this paper , it will introduce the crane ’ s automatic assembly and collision detection function of design system . the system program is written in visual basic and hanged to solidworks flat roof . so , it seems solidworks runs its own function when we run the program
本文的研究工作将虚拟现实技术与三维cad技术相结合,研究桥式起重机的虚拟自动装配及装配中的干涉检查。在此研究中,作者选用先进的三维cad软件平台- solidworks ,进行起重机的建模;并运用面向对象的设计语言- visualbasic ,利用solidworks的api函数和ole接口对其进行二次开发,开发出起重机小车的创新虚拟装配设计和干涉检查系统。此设计系统是通过vb编程,在solidworks软件平台上外挂系统程序,程序的运行就如同solidworks调用自身功能一样,来实现设计功能。 - In the first part , hilbert ' s 16th problem and the studies on it are introduced , and the results of zq - equivariant vector fields of degree 5 ( q = 2 , 3 , 5 , 6 ) are given . in the second part , the definitions of zq - equivariant vector fields and the method of detection functions are stated , and all the forms of nontrivial zq - equivariant planar polynomial vector fields of degree 7 are obtained . in the third part , a concrete numerical example of zt - equivariant perturbed planar hamiltonian system of degree 7 is constructed , and for the unperturbed vector field having maximal number of centers , its global phase portraits are analyzed ( having at least 9 topologically different phase portraits ) . then , for a given parameter group , its phase portrait trend is studied
第一部分介绍了hilbert第16问题以及它的研究与发展现状，给出了近年来利用李继彬提出的判定函数法得出的z _ q -等变( g = 2 ， 3 ， 5 ， 6 )的5次系统关于它的第二部分的研究结果；第二部分介绍了z _ q -等变向量场以及判定函数法，给出了7次平面多项式系统的所有非平凡z _ q -等变向量场具有的形式；第三部分给出了一个7次平面扰动hamilton系统，研究了它的具有最大中心数的未扰动系统( z _ 7 -等变)的全局象图，得到了9种不同的拓扑图形。 - By using the bifurcation theory of planar dynamical systems and the method of detection functions , this paper gives a configuration of limit cycles forming compound eyes . with the help of numerical analysis ( using maple ) , it is shown that there exist parameter groups such that a polynomial vector field of degree 7 has at least 49 limit cycles with z8 - symmetry
然后，利用平面动力系统的分支理论以及判定函数法，考虑z _ 8 -等变的扰动hamilton向量场，在计算机数学软件( maple )的帮助下，我们得到结论： 8次平面向量场至少有49个极限环，形成具有z _ 8 -对称性的极限环分布。