推

An elementary proof of the Diophantine equation is given by using recursion sequence method.

摘要运用递推序列法，给出组合数丢番图方程的一个初等解法。

Generalized predictive control is a kind of advance control methods that is of strong robustness, can overcome the time delay of system effectively and is suitable to unstable non-minimum phase system. But it has the shortcoming of large computation load because of online solving the Diophantine equation, inverse matrix and recursion solution by Least squares. So four kinds of fast algorithms of GPC that don't need the mathematical model of plant and are highly real-time are proposed in the paper. They have laid the rationale for the application of GPC to systems that need fast response.

广义预测控制是一种鲁棒性强、能够有效地克服系统滞后、可应用于开环不稳定非最小相位系统的先进控制算法，但由于它需要Diophantine方程计算、矩阵求逆和最小二乘的递推求解，因此计算量很大，本文针对此缺陷提出四种不基于对象模型且实时性高的广义预测控制快速算法，为广义预测控制应用于实时性要求高的快速系统奠定了理论基础，具体研究工作如下。

This paper proposes a hybrid scheme, which combines the advantages of spectrum LU decomposition and direct solution.

文中采用谱分解方法建立起矩阵列元素的谱分解表，并采用直解法的递推公式，可以快速给出矩阵的分解。

A model is described to evaluate the quality knowledge. The dynamic quality knowledge is evaluated according to the validity of quality improvement and disaccord specialty. The result of evaluation should decide recommendation priority of knowledge.

本文提出了质量知识的评价模型，综合了质量改进知识对质量问题改进的有效性和问题特性，对动态质量知识进行了量化评价，为质量知识的推送和复用时的选取提供了依据。

When the Journal of Commerce arrived in Boston by mail, merchants would fight to see it: one eyewitness reported seeing "crowds, in Topliff's News-room in Boston, disagreeably elbowing each other around the file of the Journal of Commerce, on the arrival of the New York mail."

商业日报》寄达波士顿时，商人会为争抢着一睹该报，据报道，一位目击者看见"波士顿的托普里夫新闻编辑室，人头攒动，纽约的邮件一到，大家就围着一大叠《商业日报》，十分不雅地用肘部互相推攘。"

When the Journal of Commerce arrived in Boston by mail, merchants would fight to see it: one eyewitness reported seeing crowds, in Topliff's News-room in Boston, disagreeably elbowing each other around the file of the Journal of Commerce, on the arrival of the New York mail.

商业日报》寄达波士顿时，商人会为一睹该报大打出手，据报道，一位目击者看见波士顿的托普里夫新闻编辑室，人头攒动，纽约的邮件一到，大家就围着《商业日报》文件，火药味十足地用肘部互相推攘。

All major parts are held together by the push-pins and can be separated for disassembly without any special tools.

所有的主要部分是由关押在一起推引脚，可拆装分离没有任何特殊工具。

But somehow, some countries always consider themselve different, and under the banner of human right, blame the disbalance of world trade on China, and show off in each corner in each corner of the world.

但是有一些国家总是自命不凡，打着人权、民主的幌子，把世界贸易不平衡的责任推给中国，以一幅拯救者的姿态出现在世界的各个角落。

When the wobble push occurs, electronics can be discombobulated too, as the Earth's magnetosphere is being slammed.

当地球抖动和推挤发生之时，电子设备也会受到干扰，因为地球的磁气圈正在受到冲击。

Using this theory the discrete parameters of thermodynamic process can be obtained and further the continuous parameters.

利用这种递推辨识算法对热工模型进行参数辨识，得到模型的离散传递函数，进而求得其对应的连续传递函数。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失