quaternion

英

美

网络  四元素; 四元数; 四元數; 四元组

复数：quaternions　

英英释义

noun

• the cardinal number that is the sum of three and one
  Synonym:four4IVtetradquaternquaternaryquaternityquartetquadrupletfoursomeLittle Joe

双语例句

• The main purpose of this paper is to study a new proof of extended unitary diagonalizable of self-conjugate matrix in quaternion field and deduce other properties concerned.
  探讨了四元数体上自共轭矩阵的广义酉对角化的新证法，并由此推出其它相应的性质。
• In the paper the generalized numerical radiuses of real quaternion matrices with symmetric function are defined and theirs inequalities are given.
  本文定义了带有对称函数的实四无数矩阵的广义数值半径并得到了它们所满足的不等式。
• Since unitary congruence of quaternion matrices is in connection with unitary similarity of quaternion matrices, we also discuss some properties of the unitary similarity of quaternion matrices.
  由于四元数矩阵的酉相合与酉相似有着密切联系，本文还讨论了四元数矩阵的酉相似的一些性质。
• Inverse Problem for Generalized Toeplitz Matrices over Quaternion Field
  四元数体上广义Toeplitz矩阵反问题
• Arithmetic distance and distance of skew-Hermitian matrices over quaternion division ring with an involution
  具有对合的四元素体上斜Hermitian矩阵的距离与算术距离
• Calculates the natural logarithm of a quaternion.
  计算四元数的自然对数。
• 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。
• The original color image was first represented by using quaternion Same-Hue-Full-Saturation ( SHFS) form.
  首先将输入彩色图像用同色调全饱和度四元数形式表示；
• A kind of control law is designed using unit quaternion and angular velocity by the feedback nonlinearization approach firstly.
  首先利用反馈非线性化方法，给出一种不含非线性扭矩项、仅由四元数和角速度的线性组合构成的控制规律。
• Considering the target angle rate changing, an adaptive attitude tracking control law was designed based on the error quaternion, and the corresponding close system stability was also proved.
  考虑目标姿态角速度可以时变的一般情形，设计了基于误差四元数的自适应姿态跟踪控制律，给出了稳定性证明。