拓展

However, despite such categorical pronouncements as "…the above shows that the ring is not the fundamental system for associative algebra of double composition "found in [Vandiver,1939], semirings never became popular and the interest in them among algebraists gradually petered out, although it never died completely.

这些年来，半环被各类研究者所探究或者是在他们的本身及尝试从半群理论和环论中拓展研究方法，或者联系于各种应用。然而，尽管这种范畴的看法"…上面表明环不是最基本的系统对于双复合结合代数"（这句话出自[Vandiver ，1939]）。半环没有受到他们的欢迎和引起他们的兴趣进而逐渐淡化，尽管没有彻底的消亡。

It would be very difficult for us to push any sales it at this price.

如果是这样的价格，我们很难拓展任何业务

With network applications increasingly widen, network security issue is att...

随着网络应用的迅速拓展，网络安全问题日益引起人们的关注。

The more you broaden your thinking to encompass serving others, the more you attune with the Higher Will.

越是拓展你围绕在服务他人的想法上，你就越能与更高意志合调。

As a result of limitation on theoretical level of author, the extend of research view is deficient in depth and extent.

由于笔者理论功力有限，本文研究视野的拓展在广度和深度方面均有所欠缺。

Firstly, it is a humanized education rooted on human establishing to enrich the students soul, developtheir personality, realize their autoeroticism, self-choice and self-perfection; Secondly, it is a spiritual education, which helps the students to find their spiritual homestead, expand their spiritual space, contradicting their spiritual mediocrity.

我认为，文学教育首先是一种人化教育，以"立人"为根本，旨在丰富学生的心灵，发展学生的个性，实现学生人格的自我反省、自我选择和自我完善。其次是一种精神教育，是让学生寻找精神家园的活动，可以拓展学生的精论中学语文教学中的文学教育神空间、对抗学生精神的平庸，为学生打下"精神的底子"。

This paper expands the application area of OLAP, and it can also supply auxiliary support to potential knowledge Data Mining about basic research products.

本文拓展了OLAP技术的应用领域，为挖掘基础研究成果数据的潜在知识提供辅助支持。

The average weighted programming method was generalized, and the minimun average weighted deviation method was established.

对决策者部分偏好信息不确知的多目标决策问题进行研究，拓展了加权平均规划方法，并提出和建立了最小加权平均偏差法。

Based on the continuous ordered weighted harmonic averaging operator, the continuous three parameters interval argument OWHA operator is proposed.

基于连续区间数据有序加权调和平均算子，定义了连续的三参数区间数据有序加权调和平均算子，并将该算子进行了拓展，提出了加权调和CPOWHA算子、有序加权调和CPOWHA算子和组合的CPOWHA算子。

Based on the previous work of our laboratory, three types of azide derivativeswere prepared from natural carbohydrates.

这部分工作拓展了碳水化合物化学在含糖高聚物研究方面的应用。

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。