Similar words: quaternity, quaternary, fraternization, maternity, paternity, fraternity, fraternize, maternity ward. Meaning: [kwə'tɜrnɪən /-'tɜːn-] n. the cardinal number that is the sum of three and one.
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31. The right characteristic values of matrices on quaternion division algebra are discussed, and some corresponding results for complex matrices are generalized and improved.
32. Introduce the principium and method of Euler angle algorithm, direction cosine algorithm, Quaternion algorithm, and Rotation Vector algorithm.
33. The unit quaternion transformation and vector algebra are applied to be analysis tools.
34. These results further enrich and develop the quaternion matrix algebra and the theory of generalized inverses.
35. Two control laws are presented for attitude regulation of a rigid body expressed by unit quaternion.
36. The eight-vecter algebra is found in the paper, as a kind of square matrix algebra and as more complete operation system containing the complex number vecter algebra and quaternion numbers.
37. Considering the target angle rate changing, an adaptive attitude tracking control law was designed based on the error quaternion, and the corresponding close system stability was also proved.
38. A OpenGL program to demonstrate using Quaternion to rotate 3 d model.
39. An attitude quaternion feedback control system directly consists of linear error-quaternion feedback and linear body-rates feedback.
40. First, according to the tracking error dynamics and kinematics described by unit quaternion error and angular velocity error[sentencedict.com], a sliding mode controller is derived based on Lyapunov theory.
41. The cooperative control law for multiple rigid body systems is designed. Numerical results show the attitude quaternion of every rigid body can be controlled to convergently approach its stable value.
42. 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.
43. This paper introduces the principle of fiber optic gyro, studies the attitude algorithm of fiber optic gyro ship attitude system, introduces the quaternion algorithm and rotation vector algorithm.
44. The main purpose of this paper is to study a new proof of extended unitary diagonalizable of self-conjugate matrix in quaternion field and deduce other properties concerned.
45. Thetheory includes Euler angular algorithm, direction cosine algorithm, quaternion algorithm and rotation vector algorithm.
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