quaternions

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网络  四元法; 四元数; 四元除环; 四元数法

双语例句

• The conversion relationship of inertial tensor matrix under the conditions of gyration and aclinic shift of coordinate system for catastrophic structure vehicle is derived, and the same formal structure matrix is expressed by using matrix of quaternions product.
  用四元数和与四元数乘积的矩阵表示形式结构相似的矩阵，针对结构突变飞行器固连坐标系有平动和转动的情况，推导了惯性张量矩阵的变换关系。
• An adaptive control approach based on quaternions for the spacecraft with reaction wheels was proposed.
  文中针对飞轮控制航天器提出了一种基于四元数的自适应控制方法。
• The attitude equations and the displacement equations in general motion of a rigid body in the form of the real number quaternions are derived.
  其次，得到了刚体和一般运动中的实数四元数形式的姿态方程式和位移方程式。
• The designs of hardwares and softwares are discussed and the real time attitude and navigation algorithms based on quaternions are given.
  文中叙述了硬软件设计过程及系统特点，给出了基于四元数的姿态及导航实时算法。
• The probability analysis of the rounding error is given for the numerical solution of the differential equations of the quaternions in the strapdown guidance system.
  对捷联式制导系统中四元数微分方程数值求解舍入误差进行概率分析。
• In this paper, we study proper norms of the quaternions and give the forms which fit for the kernel dimensions of 1,2 or 3.They are the generalized forms of complex numbers, and we give some better results.
  讨论了四元数中的真半范数，并给出了它的一般形式，它适合核维数分别为1,2,3的情形，推广了复数域中的真半范数的一般形式，给出了一个较好的结果。
• With the help of the theory of quaternions the theorems of commutativity of composition for the finite rotation of rigid body are proved in the any order.
  藉助于四元数理论证明了任意顺序下刚体有限转动合成的可交换性定理。
• In Chapter 6, by using real quaternions and their real matrix representations, we obtain some real matrix representations of 4-dimensional Clifford numbers and some properties of these representations.
  在第六章中，应用四元数的实矩阵表示，我们给出了四维Clifford代数中元素的矩阵表示，并研究了此表示的一些基本性质；
• The second argument that is commonly given for the use of quaternions is the possibility of smoothly interpolating between two orientations.
  使用四元数的第二个理由，就是其可实现两个状态间的平滑插值。
• Vector is a useless survival, or offshoot from quaternions.
  向量是无用的幸存物或四元数的无价值的支流。