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。
• A New Large-scale Transformation Algorithm of Quaternion to Euler Angle
  一种新的全角度四元数与欧拉角的转换算法
• In addition, the paper also discussed a group of formula of vector differentiation in quaternion form.
  文章还讨论了四元数形式的矢量微分运算的一组计算公式。
• Discontinuous Characteristic Boundary Value Problems for Hyperbolic Equations in Commutative Quaternion Algebra
  交换四元数代数中一类双曲型方程的间断特征边值
• 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。
• 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。
• 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。
• Mixed Operation of Quaternion, Special Function Differentiation and Application of Rolle's Theorem in Mizar
  四元数混合运算及特殊函数的微分公式和洛尔定理应用的Mizar实现
• 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。