查询词典 singularity

When the actuated joint was rotary actuation, kinematic Jacobian matrix of the manipulator was a diagonal matrix. So it was an uncoupled mechanism. As the actuated joint was linear one, Jacobian matrix of the manipulator was an identity 3×3 matrix and its determinant was equal to one. Manipulator, therefore, was singularity-free fully-isotropic throughout the entire workspace.

当以转动输入为主驱动时，运动雅可比矩阵为3×3阶对角阵，故机构为无耦合并联机构；当以移动为主驱动时，雅可比矩阵为3×3阶单位阵，且其行列式的值为1，所以在整个工作空间内机构表现为无奇异完全各向同性。

The main difficulties are to find the functions which achieve the best constant of critical Sobolev-Hardy imbedding and to overcome the singularity of the positive solutions.

这里的主要困难是要找到Sobolev-Hardy临界时最佳嵌入常数的达到函数，同时在寻找变号解时还要克服方程正解的奇性。

In oil data analysis, for the existence of noise and the effort of singularity points, indention distribution is appeared, and normal analysis work is affected.

在油井压力测试数据中，由于噪声的存在和某些突变点的影响，使得数据呈现锯齿状分布，影响了正常数据分析工作。

The second part, the inexistence of limit cycle around o(0,0) about the singularity of the system is perfectly studied with limit cycle theory.

第二部分，运用极限环理论，对系统的奇点o(0，0)外围的极限环的不存在性进行了较完整的分析。

However, due to the oscillation and singularity of the integrand of Green's function and that integral interval is infinite, it is difficult to compute the function and to control the accuracy.

而格林函数中被积函数的振荡性，奇异性和积分区间为无穷使得该函数的计算较为困难，精度不易控制。

All of its matter and energy were squished into an infinitely small point, a singularity.

所有的它的物质和能量都被压缩在一个无限小的点，一个奇点。

The mass of a black hole is confined to an infinitely small point at its centre, called a singularity.

黑洞所有的质量都处于其中心一个无穷的小点上，我们叫它"奇点"。

About 15 billion years ago, an infinitely small singularity in the "vacuum" broke into a tremendous explosion all of a sudden.

大约150亿年前，在这个"无"中，一个体积无限小的"奇点"骤然间发生了超级大爆炸。

A time domain singularity extraction technique is presented to calculate singular integrals in time domain electric field integral equation solver.

介绍了一种基于奇异提取技术的时域积分方程中奇异积分的处理方法，在奇异提取过程中，电磁波传播的延迟效应对积分的贡献包含在内。

Firstly, Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with the Hilbert kernel is proposed, we use the characteristic of periodic wavelet on L~2([0,1]) and Hilbert kernel to solve and make stiff matrix lower dimensions and become sparser through thresholding,thus the cost of computation is reduced. Because of the singularity of Hilbert kernel we use Tikhonov regularization method to solve the system of stiff equation. At last the convergence and numerical result of approximate solution are given. Secondly, an approach of regularization based on Fourier is presented for sideways heat equation; we give the theory proof and error estimate.

首先，提出了含Hilbert核的第一类奇异积分方程的小波伽辽金(Wavelet-Galerkin)数值算法，该算法中利用了L~2([0，1])上的周期小波和Hilbert核的特点进行处理，使得刚性矩阵维数降低并且通过阈值使得它更加稀疏，减少了计算量；由于Hilbert核的奇异性，通过Tikhonov正则化方法求解所得到的刚性方程组，给出了收敛性和数值结果；其次，对标准的一维逆热传导方程给出了一种基于Fourier正则化方法，给出了理论证明及其误差估计，解决了文献中算法与理论误差估计的不相匹配的现象，该正则化方法不仅保留了测量数据的部分高频成份，且与文献中的算法具有同样的计算量和误差估计。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。