Use of quaternion in Sentences. 26 Examples
The examples include quaternion at the start of sentence, quaternion at the end of sentence and quaternion in the middle of sentence
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quaternion at the start of sentence
- Quaternion can avoid gibbs lock if you use euler angle to rotate 3 d model.
- Quaternion definition and geometry meaning were described and Quaternion movement equation was introduced.
quaternion at the end of sentence
- Calculates the natural logarithm of a quaternion.
- Two control laws are presented for attitude regulation of a rigid body expressed by quaternion.
quaternion in the middle of sentence
- In this paper, we firstly consider a quaternion algebra.
- The norm of a quaternion is similar to that of a vector.
- Replaces the current quaternion with its natural logarithm.
- A quaternion can be used to represent any arbitrary rotation.
- In this paper, we obtain some inequalities for norm and traces of quaternion matrices.
- All the existing Methods : Utilize quaternion algebra to iteratively compute M - sets'boundaries.
- Of arithmetic expressions and assignment statements and generate semantic analysis of quaternion sequence.
- Some inequalities of eigenvalues for weak cycle products of self - conjugate quaternion matrices are given.
- Eight , design SAMPLE language grammar, semantic analyzer, the output quaternion type of intermediate results.
- It"s proved that the algorithm optimization of quaternion raise the precision and the calculate efficiency. 2."
- The method of adjusting screen - coordinate and object - coordinate of plane model with quaternion is discussed.
- It is realized by real quaternion overrides the weakness of matrix such as unintuitionistic, complex calculation.
- There are two applications to the RB. One is array processing and the other is quaternion finite field transform.
- These results further enrich and develop the quaternion matrix algebra. The dissertation is divided into 5 chapters.
- Finally, the 3-D M-sets generated by the ternary number and quaternion algebra are both rendered by our new algorithm.
- And also develop the quaternion algorithm error equation using calculated value of the predictor and corrector stage of attitude algorithm.
- In the paper the generalized numerical radiuses of real quaternion matrices with symmetric function are defined and theirs inequalities are given.
- A class of linear sliding manifolds is selected in terms of the error quaternion. Based on a Lyapunov function candidate, the SMC algorithm is derived.
- We proved that each square quaternion matrix has at least one right characteristic principal value and its eigenvector, and a concrete solution was given.
- And by it, we turn linear matrix equation over quaternion field into linear equations over a number field, and obtain normal solutions of this kind of equation.
- In this system, MEMS–gyroscopes are adopted to sense the angular rate, quaternion method is adopted to get the altitude of vision table and step motors are adopted as drivers.
- The mathematical deduction and confirmation of the algorithm are introduced in the paper, which is a powerfully effective one for solving the quaternion matrix differential equation.
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