从而

It i s evaluated that the overland mobility of tanks produced by different countries and during different periods with very simple algebraic operation. The conclusi ons obtained agree with the results verified by other evaluating methods and the actual using situation of tanks in battlefield. Therefore, the method is proved to be valid.

本文采用简单的代数运算对不同国家同一时期坦克陆上机动性能的比较和对同一国家在不同时期坦克机动性能进行效能评定，所得结论与其它方法评定结果和坦克在战场上长期使用的实际情况一致，从而验证了本方法的有效性。

In the linear algebraic the coefficient of polynomial and the corresponding relation of the farmnla of multi-line matrix could be built,thus seck the maximum common factor of the polynomial through making use of primary transformation of line.

在线性代数中，可以建立多项式的系数与多行矩阵表示式之间的对应关系，从而利用初等行变换求多项式的最大公因式。

For the sake of getting more economic or effective controllers, a mapping law is proposed that the sub-systems in a space are mapped algebraic equally into another space to reduce differences by optimal theory. No any restrictions are added to the controlled systems, and without need to solve coupled Lyapunove or Riccati equalities.

2考虑了各子系统之间的层次差异，提出了变换规则，通过代数等价变换将各子系统映射到另一空间，借助优化理论，消除各子系统之间的差异，从而获得更经济、更有效的控制器。

Since the visualization of implicit algebraic surface is still a difficult problem, it is doubtlessly meaningful to construct some convenient and effective parameterization method for some kind of concrete implicit surfaces.

由于隐式代数曲面的显示问题始终是困扰人们的一个关键性难题，从而针对具体形式的代数曲面，能给出方便有效的参数化方法无疑是有意义的。

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。

In order to solvepiecewise algebraic varieties, we propose a new method to compute an algebraic varietyon a convex polyhedron by adding hyperplanes with the method of Groebner bases. Thus,the algebraic variety on the convex polyhedron is transformed to the positive solutionsof a system of polynomials. Besides, the minimal decomposition is also obtained.

通过添加超平面技巧将Groebner基方法应用到凸多面体内任意维代数簇的计算上，从而把凸多面体内的代数簇转化为另外一组多项式方程组的正解，并且得到了该代数簇在凸多面体内的极小分解。

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。

In the point of view of molecule force theory, the physical regularity reflected in physical phenomenon of the normal boiling point for open chain, aromatic, alicyclic hydrocarbons and carboxylic acids, a new theoretical equation of the normal boiling point for them is proposed.

应用分子力学理论揭示出烃类和羧酸等的正常沸点 Tb这一物理现象中的物理规律性，从而提出其正常沸点的理论方程，物理意义明确，经用链烃，环烃和羧酸等的298个纯质的实测值验算，平均误差为0。

As a result, people have fewer face-to-face communication, leading to alienation among people.

结果，这也导致了人们面对面接触的机会越来越少，从而使人们之间的关系越来越淡漠。

It provides powerful tools to anticipate and align the right mix of physical and virtual IT resources to meet business demands, and assess IT performance and costs across your infrastructure.

它为预测和把正确混合的实物和虚拟的IT资源连成一线从而符合商业的需求、评估IT性能和你基础设施的所花费的费用提供了强有力的工具。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。