四元

For coplanar quadrilateral patterns, the initial values of iteration are given by coordinates of virtual image of the inter-section point of two diagonal lines.

获得测距后即可应用四元数估算法确定相对姿态与相对位置。

The updating algorithm of Strapdown matrix is one of the crucial techniques of SINS. There are several kinds of attitude updating algorithms of SINS, such as direction cosine algorithm and quaternion algorithm.

捷联矩阵更新算法是捷联系统的关键技术之一，捷联惯导系统姿态算法有欧拉角法、方向余弦法、四元数法和圆锥补偿算法等几种方法。

The so called indirect integral operation means that Eular angles can be gotten from the direction cosine matrix which is received by the integral operation of quaternions or direction cosine.

飞行器导航中，姿态角的获取可以通过直接或间接的积分运算求得的，所谓间接获取即是指通过四元数或方向余弦的积分运算求得姿态矩阵，再从姿态矩阵中提取姿态角。

Several common description methods for rotational kinematics are discussed in control point, such as direction cosine matrix, Euler angles, quaternions and Rodrigues/Modified-Rodrigues parameters. Transformation relationships, advantages and disadvantages among those methods are discussed.

从控制角度综评方向余弦、欧拉角、四元数和Rodrigues/修正Rodrigues参数几种常用姿态描述动态方程，指出各种方法的优缺点，及相互转化。

The problem of the equipment is that the calculation results appear distortion when angle is near to 45°.

论文在深入研究现有算法存在问题的基础上，采用了一种广泛用于刚体定位的数学参数算法——四元数法。

It is sometimes easier to use quaternions with complex elements, leading to a form that is not a division algebra.

有时候采用带有复数元素之四元数会比较容易，导得结果不为除法代数之形式。

Basing on the famous Schur theorem on real quaternion division algebra and the operation of matrix, some properties and judging criterions of skew self-conjugate matrix are obtained. Several theorems about characteristic value, similar decomposition and real expression of skew self- conjugate matrix are gained.

借助四元数体上的Schur三角分解定理和体上矩阵的运算，得到了斜自共轭矩阵的一些性质及判定准则，获得了斜自共轭矩阵的实表示、相似分解以及特征值的几个定理。

Then it simplifies the proof of division ring of quaternion .

从而简化了四元数作为除环的证明。

Our charge for sports facilities is four dol lars per hour.

运动器械以每小时四元的标准收费。

When wepossess information about the values of a Copula at points in its domain of definition,the bounds can often be narrowed.

本文证明了由Copula及其生存、对偶和伴随Copula组成的集合在函数的复合运算下构成了Klein四元群，求解了群中元素的界以及它们在某个点处的函数值给定时的界。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。