判定函数 meaning in English
decision function
Examples
- An expression can be a short expression that refers to a field object or a long expression that supports decision functions or formatting based on fields or other report items
Product . value表达式既可以是引用字段对象的短表达式，也可以是支持基于字段或其他报表项的判定函数或格式设置的长表达式。 - 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。 - 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。