基本介紹
- 外文名：quaternion
- 詞性：名詞
- 英式發音：[kwə'tɜːnɪən]
- 美式發音：[kwə'tɝnɪən]
單詞釋義,單詞用法,短語搭配,雙語例句,
單詞釋義
英 [kwəˈtɜːnɪən] 美 [kwəˈtɜːrnɪən]
n. 四元數；四個一組；四人一組
單詞用法
柯林斯英漢雙解大詞典
quaternion /kwəˈtɜːnɪən/
1.N a generalized complex number consisting of four components, x = x 0 + x 1i + x 2j + x 3k, where x, x 0…x 3 are real numbers and i = j = k = –1, ij = –ji = k, etc 四元數 [maths]
短語搭配
quaternion group 四元群 ; [數] 四元數群
quaternion elliptic space [數] 四元數橢圓空間
quaternion algebra [數] 四元數代數
quaternion function [數] 四元數函式
quaternion crane 港口門式起重機
quaternion field 四元數體
inverse quaternion 反四元數
integral quaternion 整四元數
Dual Quaternion 雙四元數 ; 對偶四元數
雙語例句
- Euler parameter is the normalized quaternion. 歐拉參數是規範四元數。
- Through it, we can get quaternion some characteristics. 通過它，可以掌握四元數的一些特徵。
- Replaces the current quaternion with its natural logarithm. 用當前四元數的自然對數替換此四元數。
- The basic theory and the usage of quaternion are also been introduced. 介紹了四元數法的基本原理及其在捷聯繫統中的用法；
- To answer that, you first need to calculate the norm of your quaternion. 答案在這，你首先需要計算你的四元數的平均值。
- In this paper, decomposition of a quaternion matrix is systemically studied. 本文系統的研究了四元數矩陣分解理論。
- In this aspect, the quaternion theories and methods perhaps are appropriate. 在這方面，四元數的理論和方法或許是合適的。
- In this paper, we study the existence for right eigenvalue of quaternion matrix. 本文討論四元數矩陣右特徵值的存在性問題。
- Quaternion is used rather than Eular angles to avoid the problem of singularity. 使用四元數避免了歐拉角法的奇異問題；
- In this paper, we obtain some inequalities for norm and traces of quaternion matrices. 本文獲得了四元數矩陣的範數和跡的一些不等式，改進了近期的某些結果。
- Both are expected to facilitate the future dual quaternion-based integrated navigation filter. 這兩個誤差模型可用來搭建基於對偶四元數的組合導航濾波器。
- The satellite dynamics equation and kinematic equations are built with the method of quaternion. 用四元數方法建立起衛星動力學方程和運動學方程。
- Quaternion is used to describe the orientation of a rigid body, and attitude motion is modelled. 採用四元數描述剛體姿態，建立了剛體姿態運動的數學模型。
- The electromagnetism laws and the relativistic mechanics are described by the double quaternion. 用雙四元數表述了相對論力學和電磁規律。
- Two control laws are presented for attitude regulation of a rigid body expressed by unit quaternion. 給出了用四元數表示的剛體姿態調節問題的兩種控制規律。
- Accordingly, we extended several important theorems of complex matrix theory to the quaternion field. 由此，把複數域上矩陣論的若干重要定理推廣到了四元數體。
- Some inequalities of eigenvalues for weak cycle products of self-conjugate quaternion matrices are given. 給出了自共軛四元數矩陣的弱圈積的特徵值的一些不等式。
- Angle a number, passed by reference, that identifies the Angle of rotation, in radians, of the quaternion. 一個按引用傳遞的數值，標識該四元數的旋轉角度(以弧度為單位)。
- This represents an attempt in introducing quaternion methods in the study of cases involving space engagement. 這是試圖把四元數方法引入空間嚙合原理研究的一種嘗試。
- So, dual Euler method is better than quaternion method in the solution of the singularity of the Euler equation. 因此，對於解決歐拉方程奇異性來講，雙歐法要優於四元數法。
- It proves that the estimate sectional curvature of a quaternion manifold is very useful for Riemann symmetric space. 它進一步說明一個四元流形的截面曲率的估計對許多對稱黎曼空間都是有效的。
- Finally, the necessary and sufficient condition is shown for similarity and consimilarity of matrices over quaternion field. 同時得到一些關於四元數矩陣的性質，以及體上矩陣相似和合相似的充要條件。
- The quaternion matrix singular value perturbation theorem is generalized and these results are also new one for complex matrix. 本文對四元數體上矩陣奇異值攝動定理給出了推廣，且這些結果對復矩陣也是新的。
- A new effective method which makes use of quaternion theory is presented to implement location transformation of a plane curve. 利用實四元數理論，提出了一種將一般位置平面曲線變換到空間任意指定位置的一種簡捷方法。
- The problem is reduced to a parallel one on complex matrices by using the complex adjoint matrix related to each quaternion matrix. 利用與每個四元數矩陣相關聯的復伴隨矩陣，問題被簡化為關於複數矩陣的並行問題。
- The state equations of the system are established on the basis of the relation between attitude error quaternion and the gyro drift. 本文以姿態誤差四元數與陀螺漂移誤差之間的關係為基礎，構建了系統狀態方程；
- Quaternion method, which has been successfully applied to the Strapdown Inertial Navigation and Guidance for tens year, is classical. 數十年來，四元數及其解法成功地套用於捷聯慣性導航和制導系統中，成為經典的算法。
- When optimizing synchro update of the quaternion, the quaternion differential equation is calculated by using minimum parametric method. 採用最小參數法求解四元數微分方程，最佳化了四元數實時更新算法。
- The sample and static error compensation, quaternion and attitude updating and algorithm of station and velocity updating were researched. 研究了採樣與靜差補償，以及四元數、姿態、位置和速度更新的算法。
