查询词典 quaternion

The simultaneous diagonalization by congruence of pairs of Hermitian quaternion matrices is discussed.

讨论四元数Hermitian矩阵对在共轭合同关系下的同时对角化问题。

The quaternion matrix singular value perturbation theorem is generalized and these results are also new one for complex matrix.

本文对四元数体上矩阵奇异值摄动定理给出了推广，且这些结果对复矩阵也是新的。

A modified PID control law and an uncoupled variable structure control law all based on the error-quaternion are developed.

姿态控制系统研究：首先基于全局非奇异的误差四元数分别设计了改进的PID控制律和解耦变结构控制律。

Based on the unit quaternion decomposition of rotation matrix, this paper puts forward an algorithm to estimate motion parameters from the space position vectors of 3D feature points.

摘要本文基于旋转矩阵单位四元数分解定理，提出一种由3D特征点空间位置估计运动参数的算法。

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。

If the norm is 1, you have a so-called unit quaternion (just as you would have a unit vector).

假如平均值为1，你就得到所谓的单位四元数。

Using the quaternion expansion of the shifting number ,we determined the fractal structure of intersection of sierpinski footcloth with their translates, and set up the fundamental properties of Box dimensions of those intersection sets.

研究Sierpinski地毯平移交集的计盒维数，发现它与平移长度有关，利用移位t的四进展开式，给出一递归集，得到Sierpinski地毯平移交集的分形结构，并建立这些交集计盒维数的基本性质。

The 5-D mothod was used in the optimum design of nonsymmetrical T-type passive filter. Results show that 5-D data field obtained provides direct decisionmaking supports in the global optimum solution of quaternion nonlinear equation, and for the robust analysis of the solution as well.

变频器用非对称T型无源滤波器优化设计的实践表明，在求此类4元非线性方程全局最优解及判别数值解的鲁棒性时，该方法所得到的五维数据场可提供直观的信息。

Jerome's "Prologus Galeatus" and his prefaces to individual books; the capitula, or summaries of contents; and, in the first quaternion, certain materials which have been much discussed and have proved of the greatest service in tracing the history of the codex, among them dedicatory verses, a list of the books contained in the codex, a picture of the Tabernacle (formerly thought to be Solomon's Temple), a division of the Biblical books according to Jerome, another according to Hilary and Epiphanius, and a third according to Augustine.

除了文圣经的书籍，它包含了圣杰罗姆的& prologus galeatus &，而他的序跋，以个别书籍； capitula ，或摘要的内容，以及在第一次四元，某些材料，其中已有不少讨论，并已证明的最大的服务，追查历史上的法典，其中有奉献小诗，赠书书单载于法典，图片的帐幕的一个事业部，圣经书籍据杰罗姆，另据希拉里和epiphanius ，和第三条根据奥古斯丁。

By using the methods of complex representation of quaternion matrices and companion vector, we study and simplify the numerical calculation methods of quaterinon matrices, and establish new aigebraic methods in quaternionic quantum mechanics.

我们通过四元数的复表示和友向量方法，研究并解决了四元数矩阵的一系列数值计算问题，给出一套四元数量子力学中的数值计算方法。

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。