从而

Based on the numerical simulation results of airdrop landing, the stress of frame was analyzed.

根据数值仿真结果，分析了该特种车车架的受力情况，提出了一些相应的改进措施，从而为车架的实际优化提供了依据。

Based on the numerical simulation re-sults of airdrop landing, the stress of frame was analyzed. Some defects of design were found and a number ofcorresponding modifications were proposed.

根据数值仿真结果，分析了该特种车车架的受力情况，提出了一些相应的改进措施，从而为车架的实际优化提供了依据。

Plutarch says that Cicero, who bore a grudge against Augustus, conceived the plan of committing suicide on the emperor's hearth, and thus becoming his Alastor.

普鲁塔克说，西塞罗，他们三者的积怨，奥古斯都，构思中的计划，自杀对皇帝的炉膛，从而成为他的alastor 。

Consequently, the PVA (1799) made by the method of low alkalinity alcoholysis was successful applied to the long-net washer .

通过对低碱醇解法PVA(1799)的粒度的统计分析，并利用实验找出其膨润程度随水温变化的趋势，从而实现了用长网式水洗机成功水洗低碱醇解法生产PVA(1799)。

This will make you more alert to things that will keep you safe.

这会让你对事物更警觉、从而保持你的安全。

So it is very significant to study the embeddability of algebra systems.

从而研究代数系统的可嵌入性是非常有意义的。

For a general parametric curve/surface, we usually cannot compute its exact implicit form. Even though its exact implicit form can be computed, the curve/surface implicitization involves relatively complicated computation and the degree is higher. Moreover, it may have unexpected components and self-intersections. All these unsatisfied properties limit the applications of the exact implicitization. So finding curve/surface approximate implicitization has become a practical problem. In this paper, we present an algorithm to solve the approximate implicitization of a given parametric curve by using a quadratic algebraic spline curve.

由于精确隐式化过程不一定可以实现，即使可以实现隐式曲线曲面的阶数高计算复杂，并且具有不希望的自交点和奇异分支，从而限制了隐式化的运用，所以寻求参数曲线曲面的近似隐式化问题成为很实际又重要的问题，提出利用二次代数样条曲线来实现一般平面参数曲线近似隐式化的一种算法。

We obtain that if any 〓 is discrete or elementaryand 〓 satisfies Condition A,then the algebraic limit G of group sequence 〓is discrete or elementary.

首先，我们不再仅仅考虑离散非初等群集〓的代数极限G，而是离散群或初等群群集〓的代数极限G，我们对〓上〓变换群中斜驶元及其不动点进行了细致研究，注意到任意一个斜驶元存在一个仅仅含有斜驶元的领域，从而证明了初等群群集〓的代数极限G仍然是初等群，进而我们得到了一个代数收敛定理：如果任一〓是离散群或者初等群并且〓满足条件A，那么，群列〓的代数极限G一定是离散群或者初等群。

It proves the singular transport operator generates a strongly continuous C_0 semigroup V(t0)and the weak compactness properties of the second-order remained term of the Dyson-Phillips expansion for the C_0 semigroup V(t0)in L1 space,and to obtain the spectrum of the singular transport operator only consist of,at most,finitely many isolate eigenvalues which have a finite algebraic multiplicity in trip Γ.

证明了这类方程相应的奇异迁移算子产生C0半群和该半群的Dyson-Phillips展开式的二阶余项是弱紧的，从而得到了该迁移算子的谱在区域Γ中仅由至多有限个具有限代数重数的离散本征值组成等结果。上饶师院数学与计算机系江西上饶334001；南昌大学数学系江西南昌330047袁邓彬

According to algebraic number theory,all solutions of Pocklington equation in a ring of integers of a quadratic imaginary field are determined,which implies that the equation has only several solutions in the ring.

利用代数数论的理论与方法，决定了一个重要的不定方程在一个特殊的虚二次域整数环中的解，从而指出这个方程在比整数环更大的环中也仅有有限个解。

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。