借鉴成熟的姿态四元数积分的双速算法结构，设计了一个数值积分算法求解以上三个运动学方程，构建了基于对偶四元数的捷联惯性导航算法。
Borrowing the traditional two-speed approach originally developed in conventional attitude integration, we design one new numerical integration algorithm to solve the three kinematic equations.
与航空里程数或礼物积分联结在一起的信用卡是这个领域里最早使用的手段，但是现在是时候抛弃它们了。
Credit card rewards tied to airline miles or gift points were the earliest players in the sector, but it's time to dump them.
该项目与其它不计其数的连锁酒店忠诚度奖励项目类似，可以让其会员累计忠诚度积分，并在某些酒店或者酒店设施兑换积分。
The scheme is similar to countless other chain-based programmes, allowing members to accrue loyalty points and redeem them against certain properties or facilities.
计算质量可看成二重或三重积分，这取决于空间维数，取决于密度函数，dA还是。
And mass will be double or triple integral, depending on how many dimensions you have, dV of whatever density function you have, dA or dV.
目的建立平面准晶中能量型路径守恒积分及其对偶形式，并确定准晶裂纹体裂尖应力奇异性阶数。
Aim to establish the path independent integral and its dual form of energy type, and to determine the singularity order of stresses near the crack tip in plane quasicrystals.
电荷是电流对时间的积分，(公式)电荷常常用一个表面上的带电粒子数，或一个元件(如电容器)上的粒子数来度量。
Charge is the time integral of current,. Charge is often measured on a quantity of particles, on a surface, or on a component such as a capacitor.
采用均匀随机数蒙特卡罗法计算多重积分是一种简单而有效的方法，其程序结构简单，易于编制和调试。
Monte Carlo method by adopting uniform random number is a simple and effective way to calculate multiple integrals, its structure is simple and easy to program and debug.
分别采用互信息方法确定重构最佳时延和和关联积分法确定重构嵌入维数。
Mutual information method and correlation integral method were presented to get the two optimal parameters.
积分借着重积分扩展到较高的维数。
Integrals extend to higher dimensions through multiple integrals.
基于小角X射线散射理论，利用逐级切线法和材料分形理论中的散射强度法，分别计算PAN基炭纤维内微孔大小、体积分数及微孔表面分形维数。
Based on SAXS theory and fractal theory, we obtain the calculating method and calculating formulas of the pore size, pore volume percentage and the fractal of pore surface in PAN - based carbon fiber.
贝叶斯推断中边际似然函数涉及到维数较高的复杂积分的计算，因而精确地计算边际似然函数往往有困难。
In Bayesian reference, marginal likelihood function involve to compute high dimensional complex integrand. So exactly to compute marginal likelihood is often difficult.
用MATLAB计算食品过程中的物料平衡含水量、气体吸收的传质单元数和传热过程的调节，研究基于MATLAB的非线性方程、非线性方程组的求解和数值积分功能的应用。
The equilibrium water content of the solids for drying, the number of mass transfer units for gas absorption and mass flow rate for heat transfer system were obtained using MATLAB.
通过大量路用性能试验，得到AC - 16密级配沥青混合料集料的体积分形维数与路用性能指标之间的相关变化规律。
The correlations between road performance and the fractal dimension of aggregate volume of AC-16 are obtained from road tests.
另一方面，发现可以通过选取合适的坐标系可有效地降低积分动量的维数，同样可以求得关联函数的解析式来。
On the other hand, it is found that choosing the appropriate coordinate system can effectively reduce the integration variable dimension and finally arrive at the same result.
计算结果与一般方法进行了比较，并就子结构数目和积分步数等进行了探讨。
The results show that the computing time by use the method as proposed in this article is much reduced than that of the general method.
以来来超级市场积分转换为「亚洲万里通」里数，每次须最少转换5，000分（相等于200「亚洲万里通」里数），最多转换25，000分（相等于1，000「亚洲万里通」里数）。
The minimum amount of Royal Supermarket points for conversion is 5,000 points (equivalent to 200 Asia Miles), while the maximum amount is 25,000 points (equivalent to 1,000 Asia Miles).
转速增加碳烟颗粒数密度增加，但是却存在一个最佳转速使碳烟的体积分数最小；
The number density of soot is increased by the engine speed. But there is a best speed that makes the volume fraction of soot least.
这些积分一直累加到免费空中飞行里程数或现金折扣，因此超市确实以各种形式对忠诚于某品牌的行为进行了回报，”奥斯汀说。
These points add up to free air miles or cash discounts, so it really pays to stay loyal to the brand in all its diversified forms, 'says Austin.
这样切尔西就超越了曼联此前的保持的英超联赛积分和胜场数两项记录。
Chelsea have now surpassed their records for points scored in a top-flight season and Premiership wins.
目前我国采取的解决办法是将系统总供热量中的一部分按各户建筑面积进行分摊 ，这部分热量占系统总供热量的百分数称为面积分摊百分数。
The solution now used in China is to allocate a proportion of the total heat based on the floor area of each house unit. This proportion is called area-shared percentage.
尝试应用分形理论表征多孔材料的微结构，介绍了曲线和孔隙面积分形维数的定义，并采用盒维法对2个分形维数进行计算。
Fractal theory is applied to do it. The definition of curve and pore area fractal dimension is introduced. Two fractal dimensions are determined by box-counting method.
尝试应用分形理论表征多孔材料的微结构，介绍了曲线和孔隙面积分形维数的定义，并采用盒维法对2个分形维数进行计算。
Fractal theory is applied to do it. The definition of curve and pore area fractal dimension is introduced. Two fractal dimensions are determined by box-counting method.
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