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quaternions

网络  四元法; 四元数; 四元除环; 四元数法

双语例句

  • 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。
  • 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 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。
  • 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。
  • The dissertation has investigated the problem of expressing the motion group by dual numbers, dual vectors, dual matrices, attitude quaternion and dual quaternions.
    本文主要研究工作是用对偶数、对偶向量、对偶矩阵、旋转四元数和对偶四元数等对偶量研究运动群。
  • 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。
  • 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。
  • 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。
  • In this paper we give some inequalities of singular values of product of two quater-nion matrices. Based on this point we estimate each eigenvalue of product of self-conjugate quaternions matrices A and B for A ≥ 0, B ≥ 0orB>0.
    本文给出了两个四元数矩阵乘积的奇异值的一些不等式,在此基础上估计了两个自共轭矩阵A、B的乘积的每个特征值,其中A≥0、B≥0或B>0。