1、

Two control laws are presented for attitude regulation of a rigid body expressed by unit quaternion.

给出了用四元数表示的刚体姿态调节问题的两种控制规律.

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2、

A quaternion can be used to represent any arbitrary rotation.

四元数可用来表现所有形式的旋转.

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3、

The norm of a quaternion is similar to that of a vector.

四元数的平均值与矢量的有点相似.

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4、

Two control laws are presented for attitude regulation of a rigid body expressed by quaternion.

给出了用四元数+表示的刚体姿态调节问题的两种控制规律.

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5、

Some inequalities of eigenvalues for weak cycle products of self-conjugate quaternion matrices are given.

给出了自共轭四元数矩阵的弱圈积的特征值的一些不等式.

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6、

In this paper, we obtain some inequalities for norm and traces of quaternion matrices.

本文获得了四元数矩阵的范数和迹的一些不等式,改进了近期的某些结果.

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7、

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.

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8、

It is realized by real quaternion overrides the weakness of matrix such as unintuitionistic, complex calculation.

此算法采用实四元数组实现,克服了采用矩阵实现时的非直观性 、 计算复杂等弱点.

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9、

Eight , design SAMPLE language grammar, semantic analyzer, the output quaternion type of intermediate results.

设计SAMPLE语言的语法 、 语义分析器, 输出四元式的中间结果.

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10、

Quaternion can avoid gibbs lock if you use euler angle to rotate 3 d model.

四元数可避免吉布斯锁如果您使用的欧拉角旋转三维模型.

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11、

The third phase of the form of intermediate code using easy-to-read type Quaternion.

第三阶段中间代码的形式采用便于阅读的四元式.

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12、

All the existing Methods : Utilize quaternion algebra to iteratively compute M-sets'boundaries.

用文中提出的体绘制算法绘制了三元数法和四元代数法所构造的三维M集.

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13、

Thetheory includes Euler angular algorithm, direction cosine algorithm, quaternion algorithm and rotation vector algorithm.

基本理论包括欧拉角算法 、 方向余弦算法 、 四元数算法和等效旋转矢量算法.

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14、

In this paper, we firstly consider a quaternion algebra.

本文首先考察某个四元代数.

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15、

Quaternion definition and geometry meaning were described and quaternion movement equation was introduced.

阐述了四元数的定义、几何意义及四元数表示的运动学方程.

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16、

A Simple Proof of Jordan Canonical Form of Matrices Over Quaternion Field

四元数矩阵Jordan标准的简单证明和算法

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17、

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。

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18、

Several Theorems on Trace and Eigenvalues for Quaternion Self Conjugate Matrices Products

关于四元数自共轭矩阵乘积迹和特征值的几个定理

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19、

In addition, Hamilton quaternion, Ma quaternion and their Euler formula similar to that of two-dimensional real signal were discussed.

讨论了Hamilton四元数、马氏四元数及其与二维实信号类似的欧拉公式。

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20、

In this paper, the Rayleigh Ritz ′ s theorem is generalized from complex field to quaternion field, and some estimations of the inequality on the sum of eigenvalues of self conjugate quaternion matrices are obtained.

文章将复数域上的Rayleigh-Ritz定理推广到四元数体上,并给出了自共轭四元数矩阵的特征值和不等式估计。

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