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This paper proves that every probabilistic contraction map from E to E has a unique fixed point, where E is a complete and uniformly local semi-convex probabilistic normed spacer and obtains a fixed point theorem in metric linear spaces.

摘要证明了完备的一致局部半凸概率赋范空间上的概率压缩映象必有唯一不动点，得到了一类度量线性空间中关于伪范数族一致压缩映象的不动点定理。

The radius of convergence of a power series ''f'' centered on a point '' a '' is equal to the distance from ''a'' to the nearest point where '' f '' cannot be defined in a way that makes it holomorphic.

一个中心为'' a ''的幂级数''f''的收敛半径'' R ''等于''a''与离'' a ''最近的使得函数不能用幂级数方式定义的点的距离。

In inner action domain, the local coordinate of each point related to test feature curve need to be calculated, and then the point is deformed by finding the position with the same coordinate related to reference feature curve.

在内部作用范围内，通过计算每一点相对于测试特征曲线的局部坐标，然后在参考特征曲线坐标系下找到相同的坐标位置，完成该点的交换过程。

To solve the general point correspondence problem in motion estimation, a new fast point matching algorithm based on feature optical flow is proposed.

为了解决视频序列点匹配过程中的实时性和误匹配问题，本文提出了一种基于特征光流技术的快速角点匹配方法。

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。

Creo in promoting FM tocommandthe to recab, but it does not simply just stressed very small mesh point on the cards and membership cards and quality of production, it also due to its mesh point size consistency makes it possible for a balanced distribution of oil and water.

Creo在推进调频加网的使用上要先人一步，但它不仅仅只是单纯强调非常小的网点对制卡和会员卡制作质量的影响，它还推广由于其网点大小的一致性使得油和水分布均衡方面的应用。

In that night and the night, Qian all over the place with my thoughts, perhaps one day will cross at some point into a point!

在那个夜与这个夜，钱学森与我的思绪满天飞，也许某天会在某一点交叉成一点！

When propagating light\|ray passes through two fixed points in the gradient index mediums and a cuspidal variable\|point （at this point the trace equation of propagating light\|ray is non\|differentiable） at the borderline of two different GRIN mediums, the mathematical relationship, which the trace equation of propagating light\|ray and borderline equation of two different GRIN mediums should satisfy, is derived by the Fermat's principle and calculus of variation.

当光线通过梯度折射率介质中两个固定点和两个GRIN介质界线上的可动尖点（光线轨迹方程的不可微点）时，由费马原理和变分法运算推得传输光线的轨迹方程与两种不同GRIN介质的界线方程应满足的微分关系式。

Come to the point 到达要点 I was just coming to the point when you cut in.

你插嘴时，我刚要谈那一点。

This article involves in plane cutting method to generate the measuring path and calculate the measuring point. The method to calculate the anchor point and the offsetting method are giver by the author.

本文研究了截平面法生成理论测量路径和计算测量点，给出了简单稳定的方法计算测量点，计算定位点的算法采用了等距法

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失