椭圆空间

The ellipse curre equation of circular image is derived based on the theory of spatial analytic geometry and rotation matrix s representation with unit quaternion then a mathematical model of the distortion error is established which relates the distortion error to the foca length of the used CCD camera,the radius as well as the position and the attitude of the inspected circle directly.

研究三维视觉检测中圆的中心经针孔摄像机成像后存在畸变误差的问题，首先基于空间解析几何理论和旋转矩阵的四元数表示法推导出像平面上投影椭圆的参数方程；然后根据参数方程建立圆中心成像畸变误差的数学模型；最后对影响畸变误差的主要因素进行分析。

It is introduced briefly the modification way and result of lignosulphonate as coal-water slurry additive and determination of the adsorption film thicknesses of the LS and modified lignosulphonate on the smooth surface of coal and microscopic slide by the method of elliptical polarization .

简要介绍了木质素磺酸钠用作水煤浆添加剂的改性方法及结果，并采用椭圆偏振法测定了木钠及改性木钠在光滑的煤表面和载波片表面的吸附膜厚度，定量地对比了添加剂在固体表面吸附的空间位阻作用的大小。

The feature point in affine scale-space has higher repeat rate under nonisotropic geometric transformation and the ellipse window of nonuniform Gaussian kernel on characteristic scale is founded on image contents.

仿射尺度空间上的特性点在非同向性几何变换中具有更高的反复率，并且其特性尺度上的非统一高斯核椭圆窗口是基于图像内容的。

Secondly, by using the Sobolev inequality on the C-C spaces we prove a Fefferman-Phong type lemma. Based on which we provide nonexistence theorems to three kinds of nonlinear subelliptic parabolic equations through a relatively unified method.

其次，利用Carnot-Caratheodory空间上的Sobolev不等式证明了一个Fefferman-Phong型引理，并用比较统一的方法证明了三类非线性次椭圆抛物方程解的不存在性判定定理。

Elliptic Curve Signature Algorithmis used to provide unforgeability of user public key.

采用椭圆曲线签名算法保证用户自主生成公钥的不可伪造性，利用用户公钥生成的会话密钥以对称加密算法加密明文，保证明文的机密性，对明文空间的大小没有严格限制。

At the same time, the electric potential and the electric intensity at the central axes and in the distance area of the charged ring are discussed.

本文中我们运用椭圆积分法计算出了均匀带电圆环空间电位和电场分布，使我们对其产生的电位和电场有一个全面了解。1均匀带电圆环的电位均匀带电q的圆环半径为b，以环心。

Numerical simulations and trials show inertia matching ellipsoid corresponds to the robot's hopping height.

基于空间浮动基建立了跳跃机器人变约束动力学模型；运用惯性匹配椭圆和方向可操作度理论，优化起跳姿态。

Because the radius is expressed with general norm, we can obtain several largest stable regions (such as parallelotopes, ellipsoides, polytopes el.) in parameter space.

由于这个半径是以欧氏空间的一般范数表示的，所以对于参数摄动范围是菱形、矩形、椭圆、对称多边形等情况，均可以利用它求出系统参数的最大允许摄动范围。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。