正则邻域,regular neighborhood

1)regular neighborhood
正则邻域

2)regular
正则
1.
The Nonexistence of (4,8)-Regular Maximal Planar Graph on 12 Vertives;
12阶的(4,8)-正则极大平面图的不存在性


2.
Study on the(k,l)-Regular Maximum Planar Graph on n>12;
阶n>12(k,l)-正则极大平面图


3.
On generalized Moore-Penrose inverses of regular morphisms;
关于正则态射的广义Moore-Penrose逆



3)regularity
正则
1.
An electrochemical machining problem is discussed and its regularity results of a free boundary is obtained.
主要讨论了一类电加工问题，得到其自由边界的有关正则性结果。


2.
A new family of symbolic function with special scaling coefficients was presented and it was verified by using recurrence,constructing and cut-supplement method that the wavelets constructed had a regularity index of order r+1 and the orthogonality.
给出一类尺度系数为固定排法的新的二元小波的符号函数,通过递推以及构造的思想,运用割补的方法验证所构造出的小波具有r+1阶正则指数及正交性。


3.
In this paper,a new regularity in L-fuzzy topological space is given.
研究了L-fuzzy拓扑空间中的正则问题,引入了一种新的正则,证明了这种正则有可乘性、L-好的推广、遗传性、拓扑不变性等重要性质。



4)regular *-
正则＊-
1.
After introduce general information of inverse and regular semigroups, we survey the study works on the construction of regular semigroups with inverse transversals as well as on congruence lattices; summarize split transversal, orthodox transversal, regular *-transversal and adequate transversal, which were put forward recently as generalizations of inverse transversal.
总结了作为逆断面的推广的可裂断面,纯正断面,正则＊-断面和恰当断面。



5)right π inverse a regular
a正则

6)holomorphy
正则

7)canonical and micro-canonical PACS number
正则和微正则

8)Tikhonov regularization
Tikhonov正则化
1.
Fourier and Tikhonov regularization methods for solving a class of backward heat conduction problems;
求解一类反向热传导问题的Fourier正则化和Tikhonov正则化方法


2.
Tikhonov regularization approach was used to alleviate the illness of inverse formula in(order) to get real solution or stable approximate solution.
在求解逆问题时,为了消除方程的病态,得到逆问题的真实解或其稳定近似解,采用了Tikhonov正则化方法对求解过程进行约束和控制。


3.
In this paper, the Tikhonov regularization method and the L-curve criterion for determing the regularization facto.
本文采用Tikhonov正则化算法和选取正则因子的L准则 ,对具有解析结果的波场变换方程进行了数值求解。



9)regularization
正则化
1.
Restoration method of blurred image based on regularization in spatial domain;
基于空域正则化的模糊图像复原方法


2.
Region Feature Extraction Based on Improved Regularization Method in SAR Image;
基于改进正则化方法的SAR图像区域特征提取


3.
Post-processing of low rate compressed image using edge preserving regularization;
边缘保持正则化低码率压缩图像后处理算法



10)Canonical equation
正则方程
1.
Then we introduce the model to the Hamilton system and obtain the Hamilton canonical equation.
首先利用Hamilton原理对耦合结构进行建模,然后利用有限元方法将空间连续模型离散化,得到有限元模型,然后将模型导入到Hamilton系统中,获得Hamilton正则方程。


2.
From the mixed variational principle of thin plates, by selection of the statevariables and its dual variables the Hamilton type generalized variational principleand the Hamilton canonical equation are deduced.
本文通过薄板问题混合能变分原理，选用状态变量及其对偶变量，导出了一般的Ｈａｍｉｌｔｏｎ型广义变分原理和Ｈａｍｉｌｔｏｎ正则方程，这样就突破了欧几里德空间的限制，在Ｈａｍｉｌｔｏｎ力学的数学框架辛几何空间中，对全状态相变量进行分离变量，并采用共轭辛正交归一关系，给出任意支承条件下薄板问题的辛精确解。


3.
In this paper, plane stress elastic problem is taken for example, Galerkin variational equation of canonical equation of its is firstly introduced.
　首先引入了Ｈａｍｉｌｔｏｎ体系中平面应力弹性力学问题正则方程的Ｇａｌｅｒｋｉｎ变分方程，证 明了Ｇａｌｅｒｋｉｎ变分方程和目前文献中所用的Ｒｉｔｚ。



补充资料：非正则奇点


非正则奇点
irregular singular point

非正则奇点[i川铆山r应粤山r脚向t;Ilpper”，p.四oeo6翻、，，] 出自线性常微分方程解析理论的一个概念.设A(t)为nxn矩阵，它在t。笋的的有孔邻域内是全纯的，且在t。处有一奇点. 这时，点t。称为方程组 交=注(t)x(*)的奇点.非正则奇点有两个不等价的定义.按照第一个定义，t。称为(*)的非正则奇点，如果A(。)在亡。处具有阶数高于l的极点(见微分方程解析理论(analytic theoryofd迁比ren垃alequa石。朋)).按照第二个定义，t。称为(*)的非正则奇点，如果不存在数a>0，使得当t沿射线方向趋向于t。时，每个解x(t)的增长不比}t一t。!一“快(见〔31).情况t。=的，可通过变换t~t一’，化为情况t。二0.非正则奇点有时称为强奇点(例如，见E七朋d方程(Bessel闪皿石。n)).解在非正则奇点的一个邻域内可以作渐近展开;H.Poinca记最早研究了这个问题(【l」).

说明：补充资料仅用于学习参考，请勿用于其它任何用途。

正则邻域,regular neighborhood