We discuss the global topological structure of the homogeneous fifth system with one and two special directions , and give their coefficient conditions 论了一类有一对和两对特殊方向的平面齐五次系统的全局结构,并给出了它们的系数条件
Second , give some examples , make them have one to six special direction , through solve these examples , demonstrate the conclusion of these theories in chapter 2 are c - orrectly 二、引入具体实例,使其分别具有一到六对特殊方向,并符合某些定理的系数条件,通过对例题的实际求解,来论证第二章所得出的定理的结论的正确性。
The discussing process follows the steps below : first , suppose the system ( 1 ) has only one finite singular point ( 0 , 0 ) . then we can assume b50 = 0 , which special direction is determined by equation g ( 0 ) - 0 , introduce poincare transformation to discuss infinite singular points , according to the coefficient conditions , list all possible infinite singular points and special directions , judging their type , drawing out all kinds of phase portraits 本文主要内容为:一、假设系统( 1 )只有唯一的有限远奇点( 0 , 0 ) ,则不妨设b _ ( 50 ) = 0 ,其特殊方向由示性方程g ( ) = 0给出,引进poincare变换研究无穷远奇点,再根据各定理中的系数条件,列出系统所有可能的无穷远奇点和特殊方向,并判断其类型,由此画出系统的各种可能的全局相图。
We would use these expressions to fit experiment data to get a conductivity value . we have made a model of thermally uniaxial material to find the expression between the conductivity and principal conductivity . we have gained four expressions of conductivity in four special directions by transforming coordinates 为了找到实验拟合出的热导率值与主热导率的数量关系,我们建立了热单轴材料的样品模型,继而用坐标变换的方法推导出四个特殊方向上的热导率表达式。
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 本文主要讨论一类平面齐五次多项式微分系统的全局拓扑结构及系数条件。借鉴了文献[ 1 ]叶彦谦教授对平面齐二次系统的全局结构及系数条件和文献[ 2 ]李学敏教授对平面齐三次系统的全局结构及系数条件的研究方法,同时综合了张芷芬教授、陆毓麟教授、韩玉良教授等人对高次奇点的研究思想进行讨论。这样,由于等号右边多项式次数的增加,讨论系统的全局结构时,可能出现的特殊方向就会增加,在作全局相图时,难度增大了。
特殊: special; particular; peculia ...方向: direction; orientation特殊方差: special variance特殊方式: particular form因素特殊方程: factor specification equation专家特地明确指定了一种和解的特殊方法: the specialist specifically specified a special pacific means especially特殊: special; particular; peculiar; exceptional 特殊儿童 exceptional child; 特殊教育 special education; 特殊情况 special circumstances; special case; 受到特殊照顾 receive special care; 特殊政策, 灵活措施 special policies and flexible measures; 特殊案件 special case; 特殊保险费率 specific rate; 特殊才能 brilliant; 特殊法 jus singulare; 特殊风貌 character; 特殊钢 special steel; 特殊能力 special ability; 特殊时机 occasion; 特殊事物 particularity; 特殊事件 special event; specific event; 特殊性 particularity; specific characteristic; 特殊性能 property; 特殊用途 special purpose; 特殊语言 special language方向: direction; orientation 明确斗争的方向 clarify the orientation of the struggle; 在森林里迷失了方向 lose one's way in the forest; 坚定正确的政治方向 a firm and correct political orientation; 指明前进的方向 point out the way forward; 改变整个世界历史的方向 change the course of world history; 坚持为人民服务的方向 adhere to the orientation of serving the people; 朝这个方向 in this direction; 飞机向相反的方向飞去。 the plane is flying a contrary direction. 迂回曲折的小道使我们迷失了方向。 the winding trail caused us to lose our orientation. 队伍朝西山的方向前进。 the contingent marched in the direction of the western hills方向;方向型: directional向…方向,在…方向: in the direction of特殊班: special class特殊病: specific disease特殊部: lego exo-force特殊材: special medical supply fee特殊的: d.extraordinary; different; distinctive; especial; exceptive; exotic; extreme; idiosyncratic; individual; inimitable; more advanced and sophisticated form of society; occasional; out of common; particular; pathognomonic; pathognostic; peculiar; singular; specialized; specific; sspecial; unusual特殊地: distinctively; distinguishingly; specifically特殊法: jus singulare特殊费: special charges {= sp. chgs特殊服: special clothing特殊钢: special steel the; special steel, the特殊化: become privileged 反对特殊化 oppose privileges; 他从不搞特殊化。 he never seeks any personal privileges特殊货: specials特殊技: floreal; messidor; prairial特殊角: special angle特殊解: particular solution