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 criterion of equality of two quaternions is that their scalar parts shall be equal.
  两个四元数相等的准则是，它们的数量部分相等。
• Quaternions are used to represent rotations.
  四元数用于表示旋转。
• 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。
• 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。
• On the Estimation of Eigenvalues of Product of two Self-Conjugate Semi-Positive Definite Quaternions Matrices
  关于两个四元数自共轭半正定矩阵乘积的特征值估计
• 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。
• Are two quaternions equal to each other?
  两个四元数相等？
• 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 transition matrix of this filter uses equivalent rotation vector based on quaternions to calculate the attitude, which can avoid the singularity problem of Euler angles and suppress the noncommutativity error.
  此滤波器的状态转移阵利用基于四元数的等效旋转矢量来计算姿态。等效旋转矢量法可以避免欧拉角的奇异问题，并能有效抑制不可交换误差。
• Quaternions, which extend imaginary numbers into a further dimension, began to be developed by William Hamilton in Dublin in 1843.
  1843年，威廉汉密尔顿（williamhamilton）在都柏林发明了四元数，将虚数扩展到四维空间。