查询词典 singularities

One of the goals of this thesis is to devote ourselves to the differential equations which permit singularities and impulsive in abstract space.

本文中，我们利用拓扑度理论和有关非紧性测度的理论，在相对广泛的条件下，研究了抽象空间中几类微分方程正解及多解的存在性。

In many cases important information is carried by singularities that are not necessarily associated to a certain amplitude pattern.

在许多情况下，重要的地质信息可能是通过与振幅特征无关的奇异性参数来传递的。

However,in at early work of Dolan and Jackiw, after the analytic continuation ofthe imaginary time thermal propagator, the result was not the 2 × 2 matrix thermalpropagator in the real time formalisms, but only the 1-1 component of the matrix,which caused singularities like higher order δ function's.

然而在Dolan和Jackiw的工作中，由虚时热传播子解析延拓得到的结果不是实时方法中的二阶矩阵形式的热传播子，而只是其中的1-1矩阵元，从而会导致象高阶δ函数这样的奇异性，本文指出，这个结果是来源于一个隐含的假设，即认为实时方法的背景时空是一个明氏时空。

The content of this course is: analytic function (the definition of analytic function, elementary functions, etc.), conformal mapping (the definition if conformal mapping, fractional linear functions, elementary mappings, etc.), complex integration (Cauchy's integral formula, Cauchy's theorem, etc.), Series (Laurent Series, singularities, local property, etc.), residues and its applications (the Residues Theorem, integration by residues, the Argument Principle, the Maximum Principle, Schwarz's Lemma, etc.), analytic continuation and harmonic functions, etc.

本课程内容主要包括：解析函数(解析函数的定义、初等函数等)、共形映射(共形映射的定义、分式线性变换及初等映射等)、复积分(Cauchy 积分公式、 Cauchy 定理等)、级数(Laurent 级数、孤立奇点、局部映射等)、留数及其应用(留数定理、利用留数计算积分、幅角原理、最大模原理、 Schwarz 引理等)、解析开拓和调和函数等内容。

Certain strange habits: arriving at the hour when other people are taking their leave, keeping in the background when other people are displaying themselves, preserving on all occasions what may be designated as the wall-colored mantle, seeking the solitary walk, preferring the deserted street, avoiding any share in conversation, avoiding crowds and festivals, seeming at one's ease and living poorly, having one's key in one's pocket, and one's candle at the porter's lodge, however rich one may be, entering by the side door, ascending the private staircase,--all these insignificant singularities, fugitive folds on the surface, often proceed from a formidable foundation.

人有某些古怪的习惯，有人在别人离去时来到，在别人炫耀时隐藏，一切场合他都穿上一件我们称作土墙那种颜色的外衣，专找僻静的小路，喜欢无人走的街。不参加别人的谈话，避开人群和节日，貌似宽裕其实却很清寒，尽管很富，但还总是自己装着钥匙，烛台放在门房里，从小门进来，走隐秘的楼梯，所有这些无关紧要的奇特的举动，诸如涟漪、气泡、水面转瞬即逝的波纹，常常是来自一个可怕的深处。

By comparison, the ray grouping method produce agreed fields with the finite-element ray tracing method implemented by BELLHOP. Furthermore, it is free of singularities and the calculation speed can increase by more than 30 percent.

声线分组法与现有由BELLHOP程序实现的有限元方法相比计算结果具有很好的一致性，并且能够避免奇异点的产生，同时解算速度可以提高30%以上。

In this paper,singularity is used to study the classification of singularities of the binormal curves and focal surfaces of a spacelike in Minkowski 3-space,and also establish the relationships between singularities of these and geometric invariants of curves under the action of Lorentzian group.

应用奇点理论方法对三维Minkowski空间内由空间型曲线生成的副法线标型和可展焦曲面的奇点进行了分类，并且研究了在Lorenzian群作用下的空间型曲线的几何学不变量同这些奇点之间的关系。

In this paper,We define the notions of lightcone Gauss map ,lightcone pedal curve and lightcone height function of a spacelike curve in Minkowski 4-space, and established the relationships between singularities of these objects and geometric invariants of curves under the action Lorentz group ,and as an applications of standard techniques of singularity theory classified singularities of a spacelike curve in this space .

在本文中我们定义了四维Minkowski空间内类空曲线的光锥高斯映射，光锥垂足曲线，光锥高度函数的概念，建立了这些对象的奇点与在洛仑兹群作用下曲线的几何不变量之间的关系，并且运用奇点理论的标准工具对该空间中类空曲线的奇点进行分类。

In this paper,We define the notions of lightcone Gauss maps ,Hghtcone pedal curves and lightcone height function of a spacelike curve in Minkowski 4-space, and established the relationships between singularities of these objects and geometric invariants of curves under the action Lorentz group ,and as an applications of standard techniques of singularity theory classified singularities of a spacelike curve in this space .

在本文中我们定义了四维Minkowski空间内类空曲线的光锥高斯映射，光锥垂足曲线，光锥高度函数的概念，建立了这些对象的奇点与在洛仑兹群作用下曲线的几何不变量之间的关系，并且运用奇点理论的标准工具对该空间中类空曲线的奇点进行分类。

Using the directional field information,Poincare index can detect the discontinuous point in the directional field——singularities.According to the number of singularities,their position and structural character of fingerprint's ridge lines,the basic category of fingerprint is classified.

利用指纹图像的方向场信息，用Poincare索引值检测出方向场中不连续的点——奇异点，根据奇异点的数目和相互位置关系以及指纹脊线的结构特征确定指纹的基本类型。

Means the parent directory, so this command means to execute "toolchain.sh," which is in the current directory.

代表父目录，所以这个命令就是执行当前目录下的"toolchain.sh"。

Yes,In fact,I'm on our city ream.

是的。事实上我是我们市队的。