查询词典 algebraic singularity

A method based on linear singularity analysis of image is presented. The improved method, called Directional Beamlet Transform is better than traditional Beamlet transform about directional information of image and has the ability of representing linear-singularity of image. According to the analysis of linear singularity, edge detection is transferred to detecting singularity point in the coefficient matrix of DBT.

针对基于图像像素点分析的边缘提取方法存在无法同时满足高抑噪性、连续性、定位性等问题，本文提出了方向Beamle 变换方法，在定义图像线奇异性的理论基础上，利用DBT 对图像进行线奇异性分析，依据Beamlet 变换具有的线段提取能力，将图像边缘检测问题转化为方向Beamlet 变换系数矩阵中奇异点的检测问题，以降低噪声点对边缘检测结果的影响。

In the four section, from the interpolationdimension of an algebraic curve and an algebraic surface,using theoryand method of algebraic geometry, we get some interpolation of analgebraic curve and an algebraic surface, and we prove the reasonableof the interpolation dimension of an algebraic curve and an algebraicsurface.

第四章我们从沿代数曲线曲面空间的插值维数出发，利用代数几何理论与方法，给出了代数曲线曲面上的基本插值结构，并证明了我们长期应用的其上的插值维数公式的合理性。

The paper applies algebraic geometry, computational geometry, approximation theory to study the following problems: the Nother type theory and the Riemann-Roch type theory of the piecewise algebraic curve; the number of real intersection points of piecewise algebraic curves; the real piecewise algebraic variety and the B-net resultant of polynomials.

本文应用代数几何，计算几何，函数逼近论等学科的基本理论，分别就分片代数曲线的Nother型与Riemann-Roch型定理；分片代数曲线的实交点数；实分片代数簇以及多项式的B-网结式进行研究。

Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations.

代表理论和更高的代数学的K 理论是第一个书提出订货和组戒指的更高的代数学的K 理论，好和导致equivariant更高的代数学的K 理论和他们的有关的概括的麦基functors一样表现更高的代数学的K 的特性理论。

Algebraic K-theory is an important branch of algebra which has deep relationships with other branches of mathematics such as algebraic number theory, algebraic geometry and algebraic topology.

代数K-理论是代数学的一个重要分支，它与数学中代数数论，代数几何和代数拓扑等其它分支有深刻的联系。

The non-uniform algebraic codebook is determined by the non-uniform statistical properties of the algebraic codebook, and the part-searching-area is determined by the periodicity of the algebraic codebook excitation vector, which makes up the insufficient numbers of signed pulses in algebraic codebook at low bit rate.

非均匀代数码书由代数码书的脉冲非均匀统计特性确定，部分搜索域代数码书则由代数码书矢量的周期性确定，该方法有效地弥补了低比特率情况下代数码书中脉冲数不足的缺点。

Chapter 8: We discuss the acceleration of multigrid by Krylov subspace approaches, and recognize the reason for slow convergence of algebraic multigrid methods is that error reduction is significantly less efficient for some very specific error components which may cause a few eigenvalues of the algebraic multigrid iteration matrix to be considerably closer to 1 than all the rest. However, the eigenvectors belonging to the few isolated eigenvalues can be expected to be typically captured after only a few conjugate gradient iterations, which accelerate algebraic multigrid algorithms. Theoretical analysis and numerical results of some practical problems show the iterant recombination accelerates algebraic multigrid convergence.

第八章：先介绍用Krylov子空间迭代法加速一般多重网格方法收敛的基本框架，然后紧紧抓住引起代数多重网格方法收敛减慢的根本原因往往是误差减小对几个特别的误差分量不明显，这导致代数多重网格方法的迭代矩阵的几个特征值接近于1，而共轭梯度方法则能比较典型地捕捉属于孤立特征值的特征向量，从而推导出有效的共轭梯度加速算法和程序实现，不仅从一些具体的实际应用例子的数值结果去验证迭代复合加速收敛的效果，而且还从理论上分析了预处理共轭梯度法加速代数多重网格法收敛的机理。

One method is the singularity transferring method for calculating integral value containing O(1/R) singularity in its integrand［1］.The other singularity is removed first and the integral contribution of this small area is proved to be zero.

另一种方法是为解决O(1/R2)高阶奇异积分的数值计算问题的，它是通过排除一包含奇点的有限小块，而这一小块区域对积分的贡献为零，从而使积分方程在整个积分域变得数值可积。

Where, in the International Phase, when the international retrieval entity or international preliminary examination entity considers the international application is not in conformity with the requirement of singularity provided in the Patent Cooperation Treaty, the applicant does not pay the additional fee as provided, thus causing some parts of the international application to not undergo international retrieval or international preliminary examination, or when entering the National Phase in China, the applicant requires the above-mentioned parts to be regarded as the basis of examination, and the administrative department for patent under the State Council considers the singularity of the invention has been well-judged by the international retrieval entity or the international preliminary examination entity, it shall notify the applicant to pay the fee for recovering singularity within a specified time limit.

在国际阶段，国际检索单位或者国际初步审查单位认为国际申请不符合专利合作条约规定的单一性要求时，申请人未按照规定缴纳附加费，导致国际申请某些部分未经国际检索或者未经国际初步审查，在进入中国国家阶段时，申请人要求将所述部分作为审查基础，国务院专利行政部门认为国际检索单位或者国际初步审查单位对发明单一性的判断正确的，应当通知申请人在指定期限内缴纳单一性恢复费。

Where, in the International Phase, when the international retri entity or international preliminary examination entity considers the international application is not in conformity with the requirement of singularity provided in the Patent Cooperation Treaty, the applicant does not pay the additional fee as provided, thus causing some parts of the international application to not undergo international retri or international preliminary examination, or when entering the National Phase in China, the applicant requires the above-mentioned parts to be regarded as the basis of examination, and the administrative department for patent under the State Council considers the singularity of the invention has been well-judged by the international retri entity or the international preliminary examination entity, it shall notify the applicant to pay the fee for recovering singularity within a specified time limit.

在国际阶段，国际检索单位或者国际初步审查单位认为国际申请不符合专利合作条约规定的单一性要求时，申请人未按照规定缴纳附加费，导致国际申请某些部分未经国际检索或者未经国际初步审查，在进入中国国家阶段时，申请人要求将所述部分作为审查基础，国务院专利行政部门认为国际检索单位或者国际初步审查单位对发明单一性的判断正确的，应当通知申请人在指定期限内缴纳单一性恢复费。

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。