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Then, to decide whether a propositional formula can be deduced from a finite set of such formulas,we only need to decide whether the polynomial vanishes on an algebraic variety which is related to this formula set.

从而判定一个命题公式能否以一组命题公式推出，我们只需判定某一多项式是否在一代数簇上消失。

And then we consider the manner in which the Bennett linkage is related to the hyperboloid defined by its joint axes and the one defined by its links. We go on to algebraically inter-relate these and an equivalent screw of the overall instantaneous motion, which help us understand its kinetic property.

然后进一步研究了它的四个轴线所组成的单叶双曲面和它本身的几何参数的关系，使Bennett机构的瞬时运动和某个单叶双曲面结合起来，有利于我们对其运动属性的了解。

At that time mainly related to interim aid to France in late 1947 and conflict of Algeria decolonization.

经济上的援助和政治上尤其在阿尔及利亚问题上双方的冲突。

The proposed algorithm use the related deduction of division with reminder of polynomials and the key equation is solved by column transformation of matrix. Then the formula of quotient and reminder can be got quickly which can reduce the times of iterative operation.

该算法利用多项式带余除法的相关推论，通过矩阵的列变换来求解关键方程，这样可以快速地得到商式和余式，从而可以减少迭代运算的次数。

It made me realize that we are alike, that we are all related in some way.

我认识到，在某种意义上，我们都是相似的。

Part of the larger constellation of Ursa Major, the bright dipper stars above are named Dubhe, Merak, Phecda, Megrez, Alioth, Mizar/Alcor, and Alkaid. Of course, stars in any given constellation are unlikely to be physically related.

它是大熊星座的一部份，北斗七星最亮的星，由左到右分别命名为天枢、天璇、天玑与天权为魁，玉衡、开阳(Mizar/Alcor)与摇光为杓，合成为斗。

Part of the largerconstellation of Ursa Major, the bright dipper stars above are named Dubhe, Merak, Phecda, Megrez, Alioth,Mizar/Alcor, and Alkaid. Of course, stars in any given constellationare unlikely to be physically related.

它是大熊星座的一部份，北斗七星最亮的星，由左到右分别命名为天枢、天璇、天玑与天权为魁，玉衡、开阳(Mizar/Alcor)与摇光为杓，合成为斗。

Currently we are implementing a new payment system called TPS, which allow us to pay sooner then 90days, but we are applying for aliquot discount related to the day of payment.

目前，我们正在实施一个新的支付系统，称为租，允许我们还要快90天支付，但我们为有关整除的付款折扣申请日。

Based on this, to the recent years the related questions which appear frequently in the middle school mathematics competition, nimble utilization the aliquot concept, the relative prime nature, the combinatorial nature, the factorization, as well as the conclusion of the continual integer product nimbly can by aliquot knowledge and the methods, and so on, carried on the proof and the explanation.

在此基础上，对近年来在中学数学竞赛中频繁出现的相关问题，灵活运用整除概念、互素性质、组合性质、因式分解以及个连续整数的乘积能被整除的结论等知识和方法，来进行证明与解答。

Any of various yellow dyes; not related chemically to alizarin but applied in the same manner .

任何一种黄色的染料，在化学上与茜素没有联系，但以同样的方式使用。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。