hilbert polynomial 中文意思是什麼
hilbert polynomial
解釋
希耳伯特多項式- hilbert : 希耳伯特
- polynomial : adj. 1. 【動、植】多詞學名的。2. 【數學】多項式的。n. 1. 【動、植】多詞學名。 2. 【數學】多項式。
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4. applying the techniques of real radical ideal, p - radical ideal ( p is a cone ), decomposition of semi - algebraic set in ( [ 72 ] ), affine hilbert polynomial and b - net form of polynomials on simplex, this paper obtains two theorems of real c ? piecewise algebraic variety dimensions and the real nullstellensatz in c
L 、 ）數的一個下界計算公上巳4 ：應用多項式在單純形上的b網形式以及文獻門21 ）中的實根理想，錐根理想，半代數簇分解定理，本文得出了實c 」分片代數簇的二個維數定理和c 。 -
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
第一部分介紹了hilbert第16問題以及它的研究與發展現狀，給出了近年來利用李繼彬提出的判定函數法得出的z _ q -等變（ g = 2 ， 3 ， 5 ， 6 ）的5次系統關於它的第二部分的研究結果；第二部分介紹了z _ q -等變向量場以及判定函數法，給出了7次平面多項式系統的所有非平凡z _ q -等變向量場具有的形式；第三部分給出了一個7次平面擾動hamilton系統，研究了它的具有最大中心數的未擾動系統（ z _ 7 -等變）的全局象圖，得到了9種不同的拓撲圖形。
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