quaternion

quaternion

1. G=PQ with P a general quaternion group of order 2 4 and Q a cyclic group of order 3;

(4 )G =PQ ,其中P为 2 4 阶广义四元数群 ,Q C3;

2. The Automorphism Group and Holomorph of Quaternion Group(in generalized sense)

(广义)四元数群的自同构群及其全形

3. Correction to Bellman Conjecture over Quaternion Field

Bellman猜想在四元数体上的修正

4. LIU Jian-zhou.Matrices over quaternion division ring and theory of majorization [J].Acta.Math.Sinica, 1992, 6: 831-838.

[1]刘建洲.四元数体上的矩阵及其优化理论 [J].数学学报, 1992, 6: 831-838.

5. The Estimate Sectional Curvature of A Quaternion Manifold

一个四元流形的截面曲率的估计

6. Generally Unitary Solution to a System of Matrix Equations over the Quaternion Field

一四元数矩阵方程组的广义酉矩阵解

7. The Optimal Approximation Solutions to a System of Matrix Equations over the Quaternion Field

一四元数矩阵方程组的最佳逼近解

8. 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

9. A CLASS OF QUATERNION POLYGENIC FUNCTIONS

一类四元数多演函数

10. The Lagrangian H-umbilical Submanifold in Indefinite Quaternion Euclidean Space Form

不定四元欧氏空间中的拉格朗日H-脐子流形

11. The GH-congruence Canonical Forms of Two Classes of Matrix Couples over a Quaternion Field

两类四元数矩阵偶的GH合同标准形

12. To avoid the singular problemfrom Euler angle, quaternion parameterization is implemented to describe the attitude.

为了避免欧拉角带来的奇异问题,采用四元数描述卫星的姿态参数。

13. multiplicative quaternion

乘性四元数

14. multiplicative quaternion error

乘性四元数误差

15. The Extension of Two Matrix Inequalities in Complex Field and Quaternion Field

二个矩阵不等式在复数域和四元数体上的推广

16. Keywords two-dimensional;harmonics retrieval;multiplicative noise;additive noise;quaternion;

二维;谐波恢复;乘性噪声;加性噪声;四元数;

17. In this paper,the quaternion is taken for positional parameters to control attitude of the space station.

以四元数作为定位参数对空间站进行姿态控制。

18. The parameter model for attitude updating in the field of micro-strapdown attitude and heading reference system (AHRS) was established based on the dual quaternion (DQ) algebra.

以微小型捷联航姿参考系统为研究对象,建立基于对偶四元数的导航系统姿态更新解算参数模型。

19. Builds a matrix from a quaternion.

使用一个四元数生成一个矩阵。

20. The least-squares solutions and the least norm solutions of the quaternion matrix equations AX = B and XD = E are studied by using

借助四元数的复表示方法,研究四元数矩阵方程组AX=B,XD=E的最小二乘问题和极小范数解的问题,并对主子阵约束下的方程组的解进行了讨论,得到了它们的显式表示。

21. If the norm is 1, you have a so-called unit quaternion (just as you would have a unit vector).

假如平均值为1,你就得到所谓的单位四元数(正象单位矢量)。

22. Firstly, the math theory used in the engine was described. For example, Matrix Transform, 3D Vector, Quaternion, secondly, introduced the development of Graphics Card and Programming API nowadays and their evolutions.

先介绍图形算法中常用的数学理论基础:矩阵变换,三维向量代数,四元数基础,随后介绍了图形硬件和图形应用编程接口的发展,并从应用角度分析了图形软硬件的发展趋势。

23. On Partially Ordered EP Matrix Over Quaternion Field

关于四元数EP矩阵偏序的研究

24. An isomorphism between quaternion and real matrix

关于四元数与实矩阵的同构性

25. The Least Square Solutions of Systems of Matrix Equations Over Quaternion Field

关于四元数矩阵方程的最小二乘解

26. Review on the numerical radius of real quaternion matrices

关于实四元数矩阵数值半径的综述

27. An Equality for Trace of Matrix over a Generalized Quaternion Algebra

关于广义四元数代数上矩阵的迹的一个等式

28. On inequalities of eigenvalues of self-conjugate positive semi-definite quaternion matrices

关于自共轭半正定四元数矩阵特征值的不等式

29. An Inequality of Eigenvalues for Self-conjugate Quaternion Matrices

关于自共轭四元数矩阵特征值的一个不等式

30. Keywords: Predictive filter, Attitude determination, Measurement vector, Quaternion normalization,

关键词:预测滤波,姿态确定,观测矢量,四元数正交化

31. The question is converted to the answers of conditions of goal function extremum.It educes SVD and quaternion and I take the method of quaternion in the paper.

其次研究了ICCP匹配算法的数学机理,将问题转化为对目标函数极值条件的求解,引出了奇值分解法和四元数法,论文中采用了四元数法。

32. Creates the norm of a quaternion.

创建四元数的模方。

33. positive semidefinite (definite) quaternion matrix

半正定(正定)四元数阵

34. There are two applications to the RB.One is array processing and the other is quaternion finite field transform.

双复数有两种运用,一个用在阵列信号处理,另一个则用在四元有限场转换。

35. inverse quaternion

反四元数

36. public:property Nullable From {Nullable get ();

取得或设定动画的起始值。

37. commutative quaternion algebra

可换四元数

38. This paper presents quaternion algorithm to determine heading and attitude using GPS carrier phase double difference measurements, assuming that the integer ambiguities are known.

同时还对航姿误差进行了分析,并在误差分析的基础上给出了基线的最优配置。

39. Wu's Method of Elimination and Quaternion

吴方法与四元术

40. EP matrix over the Quaternion field

四元数EP矩阵

41. quaternion Kaehler Manifolds

四元数Kaehler流形

42. Analysis of the Error Result from Single Step of Runge-Kutta for the Euler Equation with Quaternion Method

四元数下欧拉方程实时R-K法求解误差分析

43. quaternion algerbra

四元数代数

44. quaternion division algebra

四元数体

45. The Minimal Norm and the Least Square Solution to a System of Linear Equations in the Quaternion Field

四元数体上右线性方程组的极小范数最小二乘解

46. The Self-Conjugate Solutions of Quaternion Matrix Equation

四元数体上矩阵方程的自共轭解

47. The Minimal Norm and the Least Square Solution of a System of Linear Equations over the Quaternion Field

四元数体上线性方程组的加正定权极小范数最小二乘解

48. Obvious Formulas of a Certain Number Linear Algebra Problems over Quaternion Field

四元数体上若干线性代数问题的显式

49. The Wavelet Transform of Quaternion Value Function

四元数值函数的小波变换

50. component matrix of quaternion

四元数分量矩阵

51. quaternion hyperbolicspace

四元数双曲空间

52. 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。

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

54. The Rank of Quaternion Vector and Matrix

四元数向量和矩阵的秩

55. Quadratic nonlinear coupling analyse of two-dimensional harmonics in Gaussian noise with quaternion and hypercomplex

四元数和超复数在二维二次非线性相位耦合分析中的应用

56. Two-dimensional harmonics frequency estimation in additive gaussian noise background based on quaternion and hypercomplex

四元数和超复数在加性高斯噪声背景下二维谐波频率估计中的应用

57. The Geometry Representation of Quaternion in Euclidean Three-space

四元数在三维空间的几何表示

58. Application of Quaternion to the Attitude Control of an Accompanying Satellite of Space Station

四元数在伴随卫星姿态控制中的应用

59. quaternion attitude updating

四元数姿态更新

60. The Application of the Real Transformations with Quaternion for Algebra Theory

四元数实表示的代数应用

61. TOTALLY REAL PSEUDO-UMBILICAL SUBMANIFOLDS OF A QUATERNION PROJECTIVE SPACE

四元数射影空间的全实伪脐子流形

62. quaternion unimodulargroup

四元数幺模群

63. QUATERNION GENERALIZED SINGULAR VALUE DECOMPOSITION AND ITS APPLICATIONS

四元数广义奇异值分解及其应用

64. Characteristic Values of the Circulant Matrix over Quaternion Sfield

四元数循环矩阵的特征值

65. Quaternion representation of reflection and refraction laws

四元数方法表示的反射和折射定律

66. GH-congruence Canonical Form of Quaternion Matrix and Simultaneous Diagonalization of Matrices

四元数方阵的GH合同标准形与同时对角化

67. quaternion Grassmann manifold

四元数格拉斯曼流形

68. quaternion Normal distribution

四元数正态分布

69. quaternion drift

四元数漂移

70. 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。

71. quaternion matrices

四元数矩阵

72. Partial Orderings over Quaternion Matrices

四元数矩阵上的偏序关系

73. The Research of Some Partial Orderings over Quaternion Matrices

四元数矩阵上的几种偏序的研究

74. Similar Transformation from Quaternion Matrix to Complex One

四元数矩阵到复矩阵的相似变换

75. Solvability conditions for the inverse problem of a class of the quaternion matrix

四元数矩阵反问题有解的条件

76. Application of quaternion matrix in resolution of aerospace camera image plane position

四元数矩阵在航天相机像面位置求解中的应用

77. system of quaternion matrix equations

四元数矩阵方程

78. The Hermitian Least-square Solution of the Quaternion Matrix Equation AX=B

四元数矩阵方程AX=B的Hermite最小二乘解

79. The Least-Square Solutions to the Quaternion Matrix Equation Systems

四元数矩阵方程的最小二乘解

80. UL DECOMPCSITION OF REAL QUATERNION MATRICES

四元数矩阵的UL分解

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