查询词典 affine space

By using implicit function theorem, Taylor's formula and mean theorem, the form of the non-affine nonlinear systems is transformed into the form of affine nonlinear systems.

利用隐函数定理和泰勒公式及中值定理，将非仿射非线性系统转变为仿射型非线性系统。

An international advanced target tacking algorithm, which is an analytical trackingprocess based on the affine transformation model by simulating biological vision machinery, isalso introduced. And the mathematical denotation for the infinitesimal generator of affine Liegroup is deduced in this paper.

论文的主要工作包括： 1、介绍了靶场测量中火箭三维姿态的光学测量方法及其理论基础，着重对单相机测量滚转角的四区域轮廓螺旋线法进行了深入探讨和研究，对该算法进行了编程实现，利用仿真图和靶场某型火箭的数字图像对该算法进行了检测，对测量结果进行了精度分析。

The inverse polynomial and the invertible affine transformation exist by the finite field, linear algebra and matrix theory. The invertible affine transformation and the inversion in are easily realized by using lookup table. An algorithm can be used to get the inverse element of modulo .

本文运用有限域、线性代数和矩阵理论，论证了逆多项式和逆仿射的存在性，并且应用查表法简捷地实现了中元素的求逆和逆仿射变换；设计了一个易于在在计算机上实现的算法，来求形如的多项式模时的逆元，该多项式的系数在上。

First, the proposed scheme uses contourlet transform to extract multidirectional and multiscale texture information, and then obtains the feature points invariant to the affine transformation from the low and middle directional subbands by Harris-Affine detector. Second, the feature regions are adaptively computed by the feature scale of the local structure and normalized by U transform. The watermarking is embedded adaptively in those characteristic regions which are normalized. Finally, by vector quantization, several copies of the watermark are embedded into the no overlapped local feature regions in different directional subbands.

首先，用Contourlet变换提取出多尺度、多方向的纹理信息；再用Harris-Affine检测算子从变换域的中、低频方向子带中提取出仿射不变特征点，结合自适应局部结构的特征尺度确定特征区域，并用U变换对其归一化处理，水印就自适应地嵌入到归一化后的区域中；水印嵌入采纳矢量量化的策略，将水印信息重复嵌入到不同方向子带、多个不相交的局部仿射不变特征区域。

The experimental results show that the affine model works best in the test area. The accuracy can reach to 0.6~0.8 m in planimetry and about 1.0 m in elevation based on the affine model by using 5~6 well distributed control points.

实验结果表明，在该区域使用一阶仿射变换模型进行补偿，在5~6个均匀分布的控制点支持下，即可达到0.6~0.8m的平面精度和1.0m左右的高程精度。

This result is a generalization of the Chevalley basis in case a simply-laced complex simple Lie algebra. Meanwhile, it generalizes also the corresponding Chevalley forms in case affine Lie algebras and 2- extended affine Lie algebras.

该结果是simply-laced复半单李代数情形下Chevalley基的推广，同时也是仿射李代数和2-扩大仿射李代数的相应Chevalley结构形式的推广。

The projecting directions of three affine pictures form affine coordinate system , and they also form a triangular pyramid at the same time.

用 3 个仿射图的投射方向构成 1 个仿射坐标系，同时也构成 1 个三棱锥，在此仿射坐标系中用球面三角重新研究由两个仿射图求第 3 个仿射图的投影作图理论——平行线束法。

This paper introduces an affine invariant of trapezia, and the explicit constraint equation between the intrinsic matrix of a camera and the similarity invariants of a trapezium are established using the affine invariant.

引入了梯形的一个仿射不变量，并利用这个不变量，建立了梯形的相似不变量与摄像机内参数之间的约束关系。

Let G be the domain whose inverse image is the cross section of u definedin (H1) where the mapping is affine,g and ψ are smooth functions and g＞0,thenthere is a unique smooth convex-monotone function which satisfies the followingproblem 〓Furthermore,if 〓 where C is a constant,ψis an affine function,〓 is astrictly interior sub-domain of G in the sense of"parabolic distance",then

若G为按（H1）中定义的u的截影经仿射变换而得的区域，g和〓为光滑函数且〓，则〓存在惟一的凸单调光滑解。若〓常数，〓仿射函数，〓为G在&抛物距离&下的严格内子域，则

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Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。