homogeneous polynomial 中文意思是什麼
homogeneous polynomial
解釋
次多式- homogeneous : adj. 1. 同種的，同質的，同性的，相似的。2. 純一的，均質的；均勻的。3. 【數學】齊性的，齊次的。adv. -ly ,-ness n.
- 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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The increase - order of solutions of higher order homogeneous linear differential equations with polynomial coefficients
多項式系數高階齊次線性微分方程解的增長級 -
In this paper, we investigate the increase - order of solutions of higher order homogeneous linear differential equations with polynomial coefficients. we have obtained the precise result
摘要研究了多項式系數高階齊次線性微分方程解的增長級問題，得到了比前人更精確的結果。 -
In this dissertation, we study the global topological classification and coefficient conditions of the plane homogeneous fifth polynomial differential system the main techniques used in this thesis includes the methods of the global structure and coefficient conditions of the plane homogeneous quadratic and cubic system mentioned in the paper [ 1 ] of professor ye yanqian, and the paper [ 2 ] of professor li xue min, also includes the idea to high - order critical point of professor zhang zhifen, lu yulin and han yuliang etc. due to the degree of polynomial in the right of equal - sign crease, when we discuss the global structure, the more special directions, the more difficulty in drawing phase portraits of this system
本文主要討論一類平面齊五次多項式微分系統的全局拓撲結構及系數條件。借鑒了文獻[ 1 ]葉彥謙教授對平面齊二次系統的全局結構及系數條件和文獻[ 2 ]李學敏教授對平面齊三次系統的全局結構及系數條件的研究方法，同時綜合了張芷芬教授、陸毓麟教授、韓玉良教授等人對高次奇點的研究思想進行討論。這樣，由於等號右邊多項式次數的增加，討論系統的全局結構時，可能出現的特殊方向就會增加，在作全局相圖時，難度增大了。 -
The m - homogeneous homotopy method gives a better upper bound for the number of solutions to a polynomial system. however, two crucial problems are conferred when getting this bound
在計算上界的過程中遇到了兩個問題，這兩個問題計算的復雜度本質上都是指數量級的。
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