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

• First, according to the tracking error dynamics and kinematics described by unit quaternion error and angular velocity error, a sliding mode controller is derived based on Lyapunov theory.
  首先根据由误差四元数和误差角速度描述的跟踪误差动力学和运动学方程，设计了基于李亚普诺夫方法的滑模变结构控制律。
• In the paper a general space-time transformation theory is established with complex quaternion as space-time algebra.
  以复四元数为时空代数，建立了一个广义时空变换理论。
• 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。
• 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。
• So, dual Euler method is better than quaternion method in the solution of the singularity of the Euler equation.
  对解决欧拉方程奇异性的双欧法和四元数法进行了对比研究。
• Smooth orientation planner for manipulators based on quaternion and B-spline
  基于四元数和B样条的机械手平滑姿态规划器
• Inverse Problem for Generalized Toeplitz Matrices over Quaternion Field
  四元数体上广义Toeplitz矩阵反问题
• Two kind of linear representations of the generalized quaternion algebras are given, and a necessary and sufficient condition about the isomorphism of two generalized quaternion algebras is obtained.
  给出了广义四元数代数的两种线性表示，导出了两个广义四元数代数同构的充要条件；
• 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；
• After analyzing the relation between a quaternion function and the angular velocity it represents, a smooth angular velocity interpolation algorithm is proposed.
  在分析了四元数函数与角速度的关系后，提出了角速度光滑插值的方法，并能计算出任一时间角速度的值。