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The frame lengths may be calculated from a greatest common divisor of a set of sampling rates providing watermarks which are robust against sampling rate conversions between any sampling rates of the set of sampling rates.

帧长度可以从提供水印的一组采样率的第一个公约数计算出来，它们对于这一组采样率中任意采样率之间的采样率转换而言是坚固的。

Passing to compute a greatest common divisor, be divided into a few stages of a periods, giving a same resources can the minimum production scale of the in general use hour and production line of superior adjust one degree project.

通过求最大公约数，把一个周期分成几个阶段，给出了相同资源可以通用时的最小生产规模和生产过程的最优调度方案。

Dixon method was adopted to construct a 22×22 Dixon matrix and then the greatest common divisor of two columns was extracted.

结合矢量法和复数法建立了4个几何约束方程式，使用Dixon结式构造22 22的Dixon矩阵，对两列提取公因式后展开矩阵的行列式得到一元64次多项式方程，回代过程中去掉6组增根后得到58组解。

The algorithm found the least period based on the greatest common divisor of the received adjacent threaten pulse time space, and compared with the received signal continually to correct the error, and then deduced the key value which shows when to stop the algorithm.

该算法根据收到的相邻威胁脉冲时间间隔的最大公约数，找到其最小周期，并不断和接收到的信号相比较以纠正误差，并推导了算法停止的关键值limit。

This work gives an algorithm to simplify the rational curves in this situation. After the approximate proper index is defined, it is computed by solving the semi-algebra system. The greatest common divisor is obtained according to the computing process of approximate proper index.

为此，讨论了这类有误差的有理参数曲线，定义了近似非恰当参数形式和近似非恰当指数，并通过半代数系统计算近似非恰当指数；在给出近似非恰当指数的同时，得到近似最大公因子。

The spurious lines caused by those sources can be classified into different sets according to the greatest common divisor of the DDS frequency control word and 2N,where N is the word length of the DDS phase accumulator.

由此产生的杂散谱可根据DDS的频率控制字和2N的最大公约数进行分类， N是DDS相位累加器的字长。

The research indicated that if the least common multiple between the slot and pole is 2pQ,and the greatest common divisor is 1,the cogging torque can be greatly reduced.

研究表明：当定子槽与转子极的最小公倍数为2pQ、最大公约数为1时，齿槽转矩最小。

Based on a formal analysis of lifting decomposition, the hierarchical structure concept of the decomposition set, as well as the lifting decomposition technique of the polyphase matrix' greatest mth-order common divisor, is proposed to conquer the difficulties in the practical computation of and the optimal search in the huge decomposition set.

本文在形式化分析Lifting分解原理的基础上，提出了分解集合的分级结构概念以及多相矩阵的m阶最大公因子Lifling分解技术，克服了分解集合求解问题的高复杂性所带来的实际计算与搜索困难；进一步地，从数值稳定性及计算代价两方面研究了分解的评价问题，设计出两种实用的分解稳定性准则；最后，结合分级结构技术提出一种最优分解算法。

That compact privileged group, the family, surrounded by mere friends, probably gets the greatest pleasure out of the celebrations.

新婚夫妇的家人与众不同，他们被朋友们包围着，可能是婚礼上最快活的人。

COMPANIONSHIP is one of life's greatest treasures , to be able to share

友情是人生最大的财富。

What would he tell Judith and the children?

他将怎样告诉朱迪丝和孩子们呢？

I this is at that time, the opinion with peacockish true girl is full of in a heart.

这就是当时的我，一个心中布满虚荣的女孩子真实的想法。