查询词典 singularity

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。

According to the shortcoming of binary wavelet transform , a new singularity detection method with the CWT was presented.

针对基于二进小波变换奇异性检测方法的不足，提出基于连续小波变换奇异性检测方法，该方法具有较细致的局部奇异性刻画能力，能够对滴定曲线的滴定终点进行精确的定位。

In addition, the Wavelet analysis is applied to inspect the singularity of the measured current, and an adaptive signal-noise decomposer for AOCT is designed.

此外，为了能够顺利将在稳态测量期间所获得的自适应校正系数应用于暂态测量中，论文应用小波变换来检测电流信号的奇异性，还应用自适应滤波技术设计了一种用于OCT的自适应信噪分离器。

The techniques including functional transformation were used to overcome the difficulties coming from the degeneracy and singularity of the problems.

运用函数变换等技巧，克服了由于退化性和奇异性带来的困难，对p≠2时的某些结论做了进一步补充。

The pseudo delta function in seismic method is used to simulate the electric dipole source in finite element simulation, In this paper, the author extend it into three-dimensional case from which singularity from source is eliminated, and also the the stability of the equation is remarkably.

把应用于地震模拟中的伪delta函数引入到可控源电磁法中的有限元模拟中，并把其扩展到三维情况下，用源周围的小块区域代替偶极子源，从而消除了源点的奇异性，提高了方程组的稳定性。

This problem can often be reduced to one of finite dimensions by using a key idea the finite determinacy in singularity theory.

研究了等变分歧问题及其开折的稳定性，刘恒兴、张敦穆教授则讨论了等变分歧问题开折的-稳定性。

The constraint force/torque dexterousness is defined as the ratio of minimum singularity value to maximum one of the force/torque constraint matrix, by which the performance of the combinations of actuating inputs is evaluated.

将约束力/力矩矩阵的最小奇异值与最大奇异值之比定义为约束力/力矩各向同性度，并以此为指标对各驱动输入组合的优劣性进行评价。

Based on theanalysis of topology structure of parallel mechanisms and using differential topology anddifferential manifolds as mathematical tools, we propose a new classification method. Thismethod classifies singularities of parallel mechanisms into two basic types, i.e. topologysingularity and parameterization singularity. This kind of classification has clear physical andmathematical meaning and fully reveals the characteristic of configuration space of parallelmechanisms.

采用微分拓扑和微分流形等现代数学工具，在对并联机构位形空间的拓扑结构进行分析的基础上，提出了一种新的奇异位形的分类方法，即把奇异位形分为拓扑奇异位形、参数化奇异位形两种类型，这种分类方法充分体现了并联机构位形空间的特点，具有十分明确的物理和数学意义。

On the basis of the idea of partition of unity, a discontinuous function and the two-dimensional asymptotic crack-tip displacement fields are added to the displacement interpolation formula to account for discontinuity of the contact surface and stress singularity near the contact surface tip respectively. Governing equations are deduced by virtual work principle and the integral of the discontinuous functions are calculated by Gauss integral through sub-elements cut by discontinuous surface.

该方法基于单位分解思想，在位移插值形式中引入不连续函数和裂尖渐近位移场函数分别反映接触面的不连续性和接触面端点的奇异性；根据虚功原理建立有限元支配方程，接触面不连续函数积分采用分区高斯积分的方法。

There are a great many L-shape structures in modern designing, which induce stress concentration and singularity. The dependence of the discretization error on the mesh refinement of such structures of fillet and connection point is of particular evidence.

结构设计中广泛存在L-型结构往往导致应力集中和应力奇异性，有限元离散过程很大程度上影响了L-型结构角点附件的位移和应力数值解精度。

So that more consumers can enjoy more delicious quality, technology is even better than wine.

让更多的消费者可以品尝到品质更为鲜美，工艺更为精湛的葡萄酒。

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