查询词典 simultaneous invariant

For example, quadratic curve and quadric surface are used as primitive element in most modeling/CAD system. The implicit formulae for computing the intrinsic geometric invariant??

随着对参数曲线曲面研究的深入，早在80年代初苏步青教授等就将几何不变量的研究引入并应用到参数曲线、曲面的研究中，取得了重要的成果［1？

Considering the effect of the stress Lode angle or the third stress invariant, the author presents a new yield function and develops the Ohta-Sekiguchi's elasto-plastic model and Sekiguchi-Ohta's elasto-viscoplastic model to be a true three-dimensional model. This new model can take account of the effects of anisotropy induced by initial anisotropically consolidated state and the rotation of principal stress axes.

在太田-关口弹塑性模型及关口-太田弹粘塑性模型基础上，考虑应力劳台角的影响，提出软土真正三维应力空间的各向异性弹塑性及弹粘塑性本构方程（模型中各向异性主要指初始各向不等压应力状态所诱发的各向异性），这是对太田-关口弹塑性模型及关口-太田弹粘塑性模型的进一步发展。

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

I can not negligent, he should do what?

我不能不在意了，他要做什么呢？

It is very dangerous to swim in the river alone.

一个人到河里游泳是很危险的。