奇异环,polycycle,在线英语词典,英文翻译,专业英语

1) polycycle

奇异环

By means of finitelysmooth normal form theory and the method of infinitesimal analysis,it is proved that the cyclicity of polycycle S(3) of planar Hamiltonian system under small perturbations with certain nondegenerate condition is 3,thus the results of A.

利用ＹｕＳＩｌｙａｓｈｅｎｋｏ［１，２］等人的有限光滑正规形理论，用无穷小分析的方法研究了平面Ｈａｍｉｌｔｏｎ系统的奇异环Ｓ（３）在自治小扰动下的分歧现象，证明了在非退化条件下，Ｓ（３）的环性为３，推广了Ａ。

2) nonsingular ring

非奇异环

When ring R , as an R module, is YJ injective, this paper gives some equivalent conditions among nonsingular ring, semiprimitive ring, pp ring and regular rings.

利用非奇异环、半本原环、pp环刻画正则环 ,当 R是 YJ内射 R模时 ,给出以上环的等价的几个条件 ,同时给出强正则环及半单环的刻画。

Some conditions for a weakly regular ring to be right nonsingular ring are discussed.

讨论弱正则环成为右非奇异环的若干条件 ,指出 MERT环上每个奇异单右 R模是 YJ内射模时 ,R为右非奇异环 ;同时给出一个环成为弱正则环的条件 ,证明了每个单右 R 模是 p 内射模时 ,R为弱正则环。

3) graded nonsingular ring

分次非奇异环

It is shown that if _SB is graded faithful then R is a graded nonsingular ring if and only if T is a graded nonsingular ring and B_T is a graded nonsingular module.

证明了当SB是分次忠实模时,R是分次非奇异环当且仅当T是分次非奇异环,BT是分次非奇异模。

In this paper,we discuss some qualities of graded nonsingular rings and graded semiprime rings and study the relation between them.

讨论了分次非奇异环与分次半素环的若干性质 ,研究了这两类分次环的关

4) singularity

奇异

Study on configuration and singularity of series parallel mechanism based on the synthesis of topological dimensionality;

基于拓扑维度综合的串并联机构构型与奇异研究

Study on the singularity of a planar five-bar mechanism;

平面铰链五杆机构的奇异性研究

The Singularity Analysis of 6-PUS Parallel Manipulator;

6-PUS并联机器人的奇异性分析

5) singular

奇异

Quadratic stability and H_∞ control for the singular uncertain systems with multi-time delay;

奇异不确定性多时滞系统的二次稳定性与H_∞控制

Positive solution of semipositone singular multipoint boundary value promblem;

半正奇异多点边值问题的正解

Singular Second Order Four-point Boundary Value Problem;

奇异二阶四点边值问题的正解

6) singular and non-singular

奇异与非奇异

参考词条

奇异熵奇异矩阵瑰丽奇异奇异位形奇异特性单奇异模奇异峰奇异边界奇异场奇异现象奇异分析奇异Lagrange量执中基于代理的区域路由

补充资料：delaVallée-Poussin奇异积分

delaVallée-Poussin奇异积分
e la Vallee- Poussin singular integral

山hV叨触一P仪.菌n奇异积分【deh、7al应~P侧目n血-多面了加雌阳】;Ba月月e一flyeeeoac“Hry月，PHM.““Ter-pa月」形式为。‘、::、一李，萝理牛i、(x十:)cosZ·冬己。乙兀L小一1)::戈的积分(亦见de h Vall倪一P侧对n求和法(de h vall‘e-Po哪insumrrntionmethod)).对于在(一的，田)上连续的、以2二为周期的函数f林)，序列气(f;x)一致收敛于f(x)(【1」).如果在点x上 (父，(!)比今}一，(·，，则当。~的时，玖(f;x)~f(x)，下列等式成立(12」): 。。、:，、一、(x、一工竺工主)、。「生1. 刀Ln」[补注]符号(Zm)!!表示Zm(2m一2)二2(m项)，(2脚一1)!!二(2m一z)(Zm一3)二弓(m项)，因此， (2n)!!二2，”(n!)， (知一l)!!(Zn)!

说明：补充资料仅用于学习参考，请勿用于其它任何用途。

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1) polycycle 奇异环 1. By means of finitelysmooth normal form theory and the method of infinitesimal analysis,it is proved that the cyclicity of polycycle S(3) of planar Hamiltonian system under small perturbations with certain nondegenerate condition is 3,thus the results of A. 利用ＹｕＳＩｌｙａｓｈｅｎｋｏ［１，２］等人的有限光滑正规形理论，用无穷小分析的方法研究了平面Ｈａｍｉｌｔｏｎ系统的奇异环Ｓ（３）在自治小扰动下的分歧现象，证明了在非退化条件下，Ｓ（３）的环性为３，推广了Ａ。 2) nonsingular ring 非奇异环 1. When ring R , as an R module, is YJ injective, this paper gives some equivalent conditions among nonsingular ring, semiprimitive ring, pp ring and regular rings. 利用非奇异环、半本原环、pp环刻画正则环 ,当 R是 YJ内射 R模时 ,给出以上环的等价的几个条件 ,同时给出强正则环及半单环的刻画。 2. Some conditions for a weakly regular ring to be right nonsingular ring are discussed. 讨论弱正则环成为右非奇异环的若干条件 ,指出 MERT环上每个奇异单右 R模是 YJ内射模时 ,R为右非奇异环 ;同时给出一个环成为弱正则环的条件 ,证明了每个单右 R 模是 p 内射模时 ,R为弱正则环。 3) graded nonsingular ring 分次非奇异环 1. It is shown that if _SB is graded faithful then R is a graded nonsingular ring if and only if T is a graded nonsingular ring and B_T is a graded nonsingular module. 证明了当SB是分次忠实模时,R是分次非奇异环当且仅当T是分次非奇异环,BT是分次非奇异模。 2. In this paper,we discuss some qualities of graded nonsingular rings and graded semiprime rings and study the relation between them. 讨论了分次非奇异环与分次半素环的若干性质 ,研究了这两类分次环的关 4) singularity 奇异 1. Study on configuration and singularity of series parallel mechanism based on the synthesis of topological dimensionality; 基于拓扑维度综合的串并联机构构型与奇异研究 2. Study on the singularity of a planar five-bar mechanism; 平面铰链五杆机构的奇异性研究 3. The Singularity Analysis of 6-PUS Parallel Manipulator; 6-PUS并联机器人的奇异性分析 5) singular 奇异 1. Quadratic stability and H_∞ control for the singular uncertain systems with multi-time delay; 奇异不确定性多时滞系统的二次稳定性与H_∞控制 2. Positive solution of semipositone singular multipoint boundary value promblem; 半正奇异多点边值问题的正解 3. Singular Second Order Four-point Boundary Value Problem; 奇异二阶四点边值问题的正解 6) singular and non-singular 奇异与非奇异参考词条奇异熵奇异矩阵瑰丽奇异奇异位形奇异特性单奇异模奇异峰奇异边界奇异场奇异现象奇异分析奇异Lagrange量执中基于代理的区域路由补充资料：delaVallée-Poussin奇异积分 delaVallée-Poussin奇异积分 e la Vallee- Poussin singular integral 山hV叨触一P仪.菌n奇异积分【deh、7al应~P侧目n血-多面了加雌阳】;Ba月月e一flyeeeoac“Hry月，PHM.““Ter-pa月」形式为。‘、::、一李，萝理牛i、(x十:)cosZ·冬己。乙兀L小一1)::戈的积分(亦见de h Vall倪一P侧对n求和法(de h vall‘e-Po哪insumrrntionmethod)).对于在(一的，田)上连续的、以2二为周期的函数f林)，序列气(f;x)一致收敛于f(x)(【1」).如果在点x上 (父，(!)比今}一，(·，，则当。~的时，玖(f;x)~f(x)，下列等式成立(12」): 。。、:，、一、(x、一工竺工主)、。「生1. 刀Ln」[补注]符号(Zm)!!表示Zm(2m一2)二2(m项)，(2脚一1)!!二(2m一z)(Zm一3)二弓(m项)，因此， (2n)!!二2，”(n!)， (知一l)!!(Zn)! 说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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