quaternions
英
美
网络 四元法; 四元数; 四元除环; 四元数法
双语例句
- The matrices in CwMtx include vectors and square matrices, where vectors include space vectors and quaternions.
CwMtx中的矩阵包括向量和方阵，其中向量包括空间向量和四元数。 - 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 attitude kinematics and dynamics are both described by error quaternions.
姿态运动学和动力学用误差四元数描述。 - Quaternions are used to represent rotations.
四元数用于表示旋转。 - Are two quaternions equal to each other?
两个四元数相等？ - 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, 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。 - Y component of the Quaternion. Don't modify this directly unless you know quaternions inside out.
四元数的Y组件。不要直接修改这个，除非你很了解四元数。 - 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。 - The algebra of quaternions, the first noncommutative algebra was thus suddenly born.
四元数的代数，第一非交换的代数，就这样在一夜之间诞生了。 - Only the bone data needs to be stored for every frame of the animation. Usually, the bone data is represented by quaternions.
存储动画帧我们仅仅需要骨胳的数据。通常，骨胳数据由四元数表示。 - 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 - An adaptive control approach based on quaternions for the spacecraft with reaction wheels was proposed.
文中针对飞轮控制航天器提出了一种基于四元数的自适应控制方法。 - Quaternions are used to describe the attitude of the rigid body system in this paper.
采用四元数法描述了刚体姿态系统。 - 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。 - With the help of the theory of quaternions the theorems of commutativity of composition for the finite rotation of rigid body are proved in the any order.
藉助于四元数理论证明了任意顺序下刚体有限转动合成的可交换性定理。 - In this paper, we study proper norms of the quaternions and give the forms which fit for the kernel dimensions of 1,2 or 3.They are the generalized forms of complex numbers, and we give some better results.
讨论了四元数中的真半范数，并给出了它的一般形式，它适合核维数分别为1,2,3的情形，推广了复数域中的真半范数的一般形式，给出了一个较好的结果。 - 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。 - 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； - 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。 - Error Analysis of INS with Single Axis Stabilization by Using Quaternions
应用四元数方法对单轴稳定惯导系统的误差分析 - 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。 - First, the probabilistic model of the rounding error in the computation of quaternions on a fixed point computer is established. Then, the probabilistic rounding error estimates are computed.
首先，对于定点计算机上四元数计算的舍入误差建立了概率模型，然后对舍入误差进行概率估计。 - 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 attitude equations and the displacement equations in general motion of a rigid body in the form of the real number quaternions are derived.
其次，得到了刚体和一般运动中的实数四元数形式的姿态方程式和位移方程式。 - To solve the problem, in this paper one made use of dual quaternions to study the integrated kinematics and dynamics modeling and control methods for spacecraft attitude and orbit motion.
针对这一问题，本文研究了基于对偶四元数的航天器姿态轨道一体化运动学与动力学建模与控制方法。 - 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。 - It is not easy to study quaternion algebra problems because of the non-commutative multiplication of quaternions.
由于四元数乘法的不可交换性，造成了对四元数代数问题研究的困难。