查询词典 simultaneous invariant

Aiming at shadow influence problem in vision navigation process of agricultural robot, illumination invariant image based on shadow removal algorithm was introduced. An enhanced OSTU image segmentation method was used, and an optimized Hough transformation algorithm was used to extract crop line, and coordinate transform was applied to obtain navigation parameters.

该研究针对农业机器人视觉导航中存在的阴影干扰问题，采用基于光照无关图的方法去除导航图像中的阴影，然后采用增强的最大类间方差法进行图像分割和优化的Hough变换提取作物行中心线，最终通过坐标转换获得导航参数。

Stationary process: spectral decomposition of covariance function, spectral decomposition of stationary process, linear time invariant system, ergodic theorem, sampling theorem.

平稳过程：协方差函数的谱分解，平稳过程的谱分解，线性时不变系统，遍历定理，采样定理。

The inconsistencies of dimensional reduction and naive dimensional regularization in dealing withChern-Simons-matter theory are analyzed.The consistent dimensional regularization combiningwith higher covariant derivative regularization is adopted to consider Chern-Simons field theorycoupled to complex scalar and spinor field.All the local parts of one-loop two-point functionsand three-point functions are computed.Slavnov-Taylor identity is combined with these explicitcalculation results to give the one-loop local effective action.The finite gauge invariant quantumcorrection is shown and finite wave function renormalization constant for each field is defined.Thelocal part of one-loop three gauge field vertex is especially evaluated and it is verified that thereexists a renormalization choice compatible with BRST symmetry.

然后计算了所有的两点函数和三点函数单圈修正的定域部分，利用S-T恒等式给出了单圈定域有效作用量，定义了场的重正化常数，发现物质场和规范场都存在有限的规范不变的量子修正，并讨论了这些有限的规范不变的量子修正的物理意义，进而通过考察单圈三规范场顶角，表明存在与BRST对称性相容的重正化选择。5、在背景场方法的框架下，选择高阶协变导数正规化与维数正规化的杂化正规化方案计算了背景场两点函数的两圈量子修正，结果表明，标志紫外发散的极点项恰好抵消；进一步利用背景场方法中明显的规范对称性，证明背景场三点函数的两圈图贡献也是有限的。

The cross ratio of four points in the vanishing line is a projective invariant.

消失线上的四点交比是射影不变量，该不变量与各点所对应的直线夹角存在内在联系。

Cross ratio is an essential invariant related to projective transformations,and discovering intrinsic properties of scene by using invariance of cross ratio computation is one of the hotspots in computer vision fields.

1引言交比是一个和射影变换有关的一个基本不变量，它的透视不变性已经引起了计算机视觉研究人员的重视，人们利用它从透视图像中进行物体识别[1][2]。

Similar to the notion of behavioral subtyping in object-oriented language,a notion of crosscutting invariant is proposed.

类似面向对象语言中的行为子类型概念，引入横切不变性概念。

In chapter 1,we find out a kind of two-parameter invariant cubic curve family of a certainquadratic system which is important one for studying the distribution of limit cycles.

第二章讨论一般的二次系统具有三次代数曲线同宿环的充要条件，针对问题，我们采用了具有双曲鞍点的二次系统的标准形，利用仿射坐标变换，我们把系统和曲线同时简化，使问题得到了完满解决。

Geometrical Vectors introduces a more sophisticated approach, which not only brings together many loose ends of the traditional treatment, but also leads directly into the practical use of vectors in general curvilinear coordinates by carefully separating those relationships which are topologically invariant from those which are not.

几何向量引入了更为先进的方法，它不仅汇集了许多传统的治疗无所适从，而且还导致进入载体的实际用途，一般直接通过仔细分离曲线的拓扑关系是从那些没有不变的坐标。

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

These include invariant pattern recognition, image normalization, image registration, focus/ defocus measurement, and watermarking.

这些措施包括不变模式识别，图像正常化，图像配准，重点/散焦测量和水印。

Warden: That's a beautiful dog, but don't bring her again.

那是条漂亮的狗，但是不要再把她带来了。

You get up in the morning – no hangover!

你第二天早上起来的时候—不会宿醉！