查询词典 birational invariant

The dissertation aims at automatic target recognition in images. For that purpose, a variety of algorithms proposed by the dissertation have been used in different stages of image recognition, which deal with image segmentation, boundary feature point extraction, curve feature extraction, object invariant representation and recognition.

本论文的研究目标是实现图象中目标的自动识别，为此，论文围绕图象识别的各阶段，研究了图象分割、轮廓特征点提取、曲线特征提取、物体的不变性表征及识别等。

We then introduce a conformal invariant quantity which is formulated in terms of the square of the length of the trace free part of the second fundamental form and the mean curvature, and prove that if this quantity is bounded above by that value of the Clifford torus then x is either a totally umbilical sphereor a conformal Clifford torus.

接著我们介绍一个由第二基本型式迹为零部份的张量长度平方与平均曲率形成的保角不变量，并证明此保角不变量的上界若为Clifford环面之值，则x不是全脐球面就是Clifford环面的保角类。

Second, the robust stability is considered for a class of time-delay Hamiltonian systems which possesse time-invariant uncertainties belonging to some convex bounded polytypic domain.

讨论了一类不确定时滞哈密顿系统的稳定性，这类系统的结构矩阵含有属于某些凸有界多项域的时不变不确定性。

In[5],combining the algebraic topology method,we have proven that conjunction matrix is complete topological invariant of bounded closed domain in plane under F-homeomorphism.so,for any two bounded closed domain in plane ?

主要原因在于拓扑不变量通常比较难算，没有比较实用的方法来恰当地提取图形的拓扑不变量，尤其是对较复杂的图形而言更是困难重重。

It is to ask whether every bounded linear operator on a separable Hilbert space has a nontrivial invariant subspace and it can be reduced to the case of diagonal operator.

不变子空间问题是一个引人瞩目的公开问题，它是说在一个可分的Hilbert空间上是否每一个有界线性算子都存在非平凡的不变子空间？

In Chapter 2, we obtain the boundedness of solutions and the existence of invariant tori for an symmetric conservative system.

在第二章中，我们研究了一类非对称的保守系统解的有界性和不变环面的存在性。

In Chapter 3, we study the boundedness of solutions and the existence of invariant tori for two kinds of isochronous systems.

在第三章中，我们研究了两类等时系统解的有界性和不变环面的存在性。

Experiments show that the algorithm can extract the affine-invariant line skeleton, resist the noise and automatically determine the branch point and key point in the skeleton.

该算法能够从散乱点集上得到一维"线"性的骨架，具有仿射不变性，能够抵抗一定的噪声，自动确定骨架上的关节点和分支点。

More precisely, under the assumptions of Dissipation, Competition and Strong Competition, we prove that there is a canonically defined countable family of unordered, disjoint invariant sets which attract all persistent trajectories whose ω-limit sets are not cycles.

的Poincaré映射，证明了在耗散性、竞争性和内部强竞争性的条件下，存在一簇至多可数个互不相交的（n-1）维不变子集吸引所有不渐近于周期轨的持续轨道。

Based on the properties of the saturation function, it was proved that the stability region of such dynamical systems can be decomposed into Cartesian product of an invariant set of their adjoint systems and a sufficiently large ball.

结合饱和函数的特殊性质，证明了此类系统的稳定域可分解为伴随系统的不变集与一个足够大球体的笛卡尔积。

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。