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But, on the other hand, Abelard was unable to accept Anselm's view that an equivalent satisfaction for sin was necessary, and that this debt could only be paid by the death of the Divine Redeerner.

但是，在另一方面，阿贝拉尔无法接受anselm的看法，即相当于一个满意为单是必要的，而且这种债务只能付出死亡的神圣

Abelard joined in the controversy between realists and nominalists in medieval time.

阿贝拉尔参与了中世纪唯名论与实在论之间关于共相的争论。

We find traces of this in Gerbert's little treatise "De rational et ratione uti" in the tenth century, and it is still more definitely adopted in Abelard's "Sic et non".

我们发现的痕迹，这在gerbert的小论文"德理性）等理由，尿路感染，"在第十世纪，它仍是更多的肯定是通过在阿贝拉尔的"碳化硅等非"。

Thomas and the other medieval masters agree with Abelard in rejecting the notion that this full Satisfaction for sin was absolutely necessary.

但圣托马斯和其他中世纪主人同意阿贝拉尔拒绝意念，认为这完全满意为单是绝对必要的。

In chapter three,we have derived a generalized dual London equation for the Abelian "electric" field A_μfrom the effective dual Abelian-Higgs model.The approximative result and the numerical simulation result as well as their figs were shown via solving the dual Abelian-Higgs model with different methods.Hereby the vortex solution of the chromo-electric field and the vortex energy density were also discussed.Finally,we have studied the dual Abelian-Higgs model with additional vacuum constant,and have unpuzzled the vacuum constant corresponding to the bag model.When the quark sources is introduced, the vacuum constant in the MIT bag model is proportional to the quartic of the monopole mass.

利用不同方法求解该方程，给出了该方程的近似结果和数值模拟结果，并分别对两种情形画出图像作了比较，据此还讨论了色电场的涡旋解及能量密度，最后讨论了含有附加真空常数的对偶阿贝尔-黑格斯模型并对应口袋模型给出了附加真空常数的物理解释，引入夸克源之后还预言麻省口袋模型中的真空常数正比于单极质量的四次方。

Because the group operation of an abelian group is

因为阿贝尔群的群运算是符合

The ellipse rotating symmetric group is proposed,which is an Abelian group .

提出椭圆旋转对称群，它是一个单参数阿贝尔群。

Let G be a finite abelian group with two elements generating set M .

G是一个有两个生成元的集合M上的一个有限阿贝尔群。

But according this method, if variables are very many, it will be difficult to solve the equation using the current method. In this paper, it provides a simple method by discussing the structure of solution based on the theory of free abelian group.

本文利用矩阵和自由阿贝尔群的理论，对一次不定方程的解的结构进行了讨论，并利用其结论给出了一种简单解法。

In some finiteness conditions, we prove that there exists a natural Abelian group homomorphism from the Grothendieck group of R to the Grothendieck group of A.

在适当的有限性条件下，我们证明了一个从R的Grothendieck群到A的Orothendieck群的自然的阿贝尔群同态。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。