英语释义

• the cardinal number that is the sum of three and one

片语

tetrad四个；四个一组；[生物] 四分染色体；四价元素

quaternion groupCycle diagram of Q. Each color specifies a series of powers of any element connected to the identity element (1).

quaternion field四元数体

quaternion estimation针对传统的四元数估计

normalized quaternion[数]

quaternion function[数]

quaternion wall堤岸墻

quartette四个一组；四重奏，四重唱

Unit Quaternion单位四元数

英汉例句

• through it, we can get quaternion some characteristics.

  通过它，可以掌握四元数的一些特征。

• in this paper, we study the existence for right eigenvalue of quaternion matrix.

  本文讨论四元数矩阵右特征值的存在性问题。

• the euler's eigenaxis rotation can be achieved by a proper selection of the gain matrices of quaternion feedback controller.

  通过四元数反馈增益阵的适当选择就能实现绕欧拉特征轴的转动。

• the simulation results show that compared with the traditional quaternion algorithm, the method can smooth the effect of noise while resolving the system attitude.

  仿真表明，与传统四元数算法比较，该方法在解算系统姿态的同时，能够较好地平滑噪声的影响。

• this represents an attempt in introducing quaternion methods in the study of cases involving space engagement.

  这是试图把四元数方法引入空间啮合原理研究的一种尝试。

• the state equations of the system are established on the basis of the relation between attitude error quaternion and the gyro drift.

  本文以姿态误差四元数与陀螺漂移误差之间的关系为基础，构建了系统状态方程；

• quaternions make it possible to extend the concept of rotation in three dimensions to four dimensions (see resources for links to quaternion references).

  四元数可能把三维旋转的概念推广到四维（请参阅 参考资料，其中有四元数的参考资料的链接）。

• gauss-newton error minimization is used to transform six-dimentional reference vector to quaternion as a part of observations for ekf, which significantly reduces the computational requirement.

  用高斯-牛顿误差最小法将六维观测量转化为四元数，作为观测量的一部分，显着减少了直接使用ekf的计算量。

• in this aspect, the quaternion theories and methods perhaps are appropriate.

  在这方面，四元数的理论和方法或许是合适的。

• the answer to the obvious question is that q is a quaternion just when q = r + xi + yi + zi, where r is a real number, i is the square root of -1, and x, y, and z are complex numbers.

  对于明显问题的回答是，仅当q =r +xi +yi +zi 时q才是四元数，其中r是实数，i是-1的平方根，x、y和z是复数。

• the method of adjusting screen-coordinate and object-coordinate of plane model with quaternion is discussed.

  论述了以四元数法调整模型的屏幕坐标和物体坐标的方法。

• introduce the principium and method of euler angle algorithm, direction cosine algorithm, quaternion algorithm, and rotation vector algorithm.

  分别介绍了欧拉角法、方向余弦法、四元数法和等效旋转矢量法的解算原理和步骤。

• the problem is reduced to a parallel one on complex matrices by using the complex adjoint matrix related to each quaternion matrix.

  利用与每个四元数矩阵相关联的复伴随矩阵，问题被简化为关于复数矩阵的并行问题。

• in this paper, decomposition of a quaternion matrix is systemically studied.

  本文系统的研究了四元数矩阵分解理论。

• we proved that each square quaternion matrix has at least one right characteristic principal value and its eigenvector, and a concrete solution was given.

  证明了对每一个四元数矩阵，至少存在一个右特征主值，存在一个属于它的特征向量，并给出了具体的求解方法。

• this paper contains two parts:1. algebraic operations of quaternion are defined by utilizing the knowledge in vector algebra and the fundamental properties of algebra of quaternions are derived.

  本文包含两个部分：1。用矢量代数的知识定义四元数的代数运算，导出四元数代数的基本性质；

• replaces the current quaternion with its natural logarithm.

  用当前四元数的自然对数替换此四元数。

• the discovery of quaternion is an importance event in the history of math.

  四元数的发现是数学史上的一个重大的事件。

• quaternion is used to describe the orientation of a rigid body, and attitude motion is modelled.

  采用四元数描述刚体姿态， 建立了刚体姿态运动的数学模型。