查询词典 birational invariant

Next in section 2.3,usingthe finite isolated regular representations in SO(3)character varity of 〓,weobtained a computation formula of SO(3)Donaldson invariants with degree 1 of4—manifold 〓(Theorem 2.3.1).Finally in section 2.4 wediscussed the Donaldson invariants of 4—manifolds with smoothly embedded 2—torus 〓 whose selfintersection is +1,with the help of the single irreducibleSU(2)representation of the principal 〓—bundle over a 2—torus with Eulernumber—1,we got a gluing formula of the Donaldson invariant on the 2—homology represented by 2—torus 〓(Theorem 2.4.1),it is a supplement of P.

最后在§2.4我们讨论了具有自交数为+1的嵌入环面〓的4—流形的Donladson不变量，运用环面上欧拉数为-1的圆丛的单个不可约SU（2）表示给出了Donaldson不变量在环面表示的同调类上的一个粘合公式（定理2.4.1），这一结果补充了P。

Based on Taylor decomposition and the principal of matrix turbulence,the measuring error of structured light and error from light-plane calibration were analyzed,in which cross-ratio invariant was used in calibration of structured light system.

本文针对交比不变原理的结构光光平面标定方法，利用泰勒展开和矩阵扰动原理分别对系统的测量误差和光平面标定误差进行分析，提出了结构光测量系统的误差传递模型。

Based on the description of Mohr-Coulomb and Drucker-Prager yield criteria with invariant of stress, a formula for error estimation of unit strain energy between the two stress states is established in the deviatoric plane of the principal stress space, which satisfies M-C and D-P yield criteria respectively. A general procedure to transform M-C material parameters to D-P analysis parameters is obtained.

基于应变比能的概念，在偏平面内建立了分别进入Mohr-Coulomb和Drucker-Prager屈服面时所需形状改变比能的差值公式，获得M-C材料参数向D-P计算参数等效的统一性方案。

Aimed at low-SNR infrared images, this paper analyzed principle and computational method of Zernike moments, proved rotation invariant property, proposed a method for low-SNR infrared target detection based on Zernike moments,and compared target recognition effect among template matching, Hu moments and Zernike moments via experiment.

由于低信噪比红外图像本身所具有的目标特征很不明显、背景特征比较强等特点，模板匹配识别方法、Hu不变矩等并不适用于低信噪比红外目标检测。

We design a new feature extraction method that generates rotation and translation invariant features and use the Procrustes algorithm to find the key substructures which are denoted by radicals.

我们设计了一个不受旋转及位移影响的特徵撷取方法并使用Procrustes演算法来找出蛋白质结构中可能的重要区块。

It is a L-good extention , a invariant of weak homeo-morphisms, and it is hereditary,producible.

这种层完全T_2分离性具有弱同胚不变性，遗传性，在积运算下保持等性质，且弱诱导的层T_1的层正则L-拓扑空间是层完全T_2的。

On the assumption that a triplet of points is matched to another one as a whole beforehand, we give an effective algorithm based on P〓-invariants. On the assumption that there exists an arbitrary closed curve in the scene plane, using a technique named projectively invariant decomposition of planar shapes, we realize another efficient algorithm.

在假设已知一对三点组整体对应的前提下，基于对排序和投影同时保持不变的P〓-不变量，给出了一种有效算法；在假设场景点集所在平面内存在一条封闭曲线的前提下，利用平面形状射影不变分解技术，提出了另一种有效算法。

The concept of exponential transformations of rectangular Cartesiancoordinates is introduced, showing that a plane curve is more frequently expressed by a unionof four or fewer quadrantal equations defined uniquely in the respective quadrants whichthe curve covers and are therefore quadrant invariant, then the Fermat curve s with someof their geometric properties are formulated.

引入直角笛卡儿坐标幂变换的概念，说明一平面曲线是较经常地用4个或更少的象限方程的并集来表示的；这些象限方程是在曲线所在的各个象限中惟一定义的，因而是象限不变的。然后列出费马曲线的方程，并简述了费马曲线的一些几何性质

In chapter 3,we dig out two families of invariant quartic curves of a quadratic system.

第五章讨论向量场具有对称中心的二次系统，利用系统的不变双曲线及不变四次曲线，我们确定了一个对应极限环（1.1）分布的二维参数区域，其边界的构成为如下几种常见的极限环分枝：霍夫分析，庞加莱分枝，同宿分枝和异宿分枝。

The isothermal solubility diagram of the quinary system NaVO_3 + KVO_3 + NaH_2PO_4 + KH_2PO_4 +(NH_2)_2CO + H_2O consists of four invariant points, six univariant cuives, and five regions of crystallization corresponding to NaVO_3, KVO_3, KH_2PO_4, NaH_2PO_4 and (NH_2)_2CO.

五元体系NaVO_3+KVO_3+NaH_2PO_4+KH_2PO_4+(NH_2)_2CO+H_2O298K下的等温相图由五个相区、六条单变量线和四个零变量点组成。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。