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In chapter 2, the concept of ""isolated point"" is defined, whose influence on algebraic structure of rough set is demonstrated.

孤点不会位于任何粗糙集的边界上，它对粗糙集的代数结构产生特殊影响。

In this article,we showed the algebraic structure of syntactic categories based on monoid and defined categorial equation whose solutions are described by consistency and correlation .

摘要］ 本文给出了建立在含幺半群基础上的范畴语法的代数结构，定义了范畴方程和它的解并对范畴方程的解作了分类：相容性的相关性。

They found solace in the tales of Horatio Alger, whose characters overcame adversity through industry, perseverance, self-reliance, and self-discipline.

他们发现了在Horatio Alger的传说的安慰，字符通过产业、坚持不懈、自力和自我训练克服患难。

The Algonquin Native American version is about Rough-Face Girl, whose kindness and inner beauty win the love of an invisible warrior spirit.

美国原住民阿尔冈琴人的版本则是一个相貌粗糙的女孩，因为她善良的心地和美好的内心世界而赢得了一个无形的武士灵魂的爱情。

The moivemaker said,67 years old Koizumi will dub for a alien hero whose enemy is master and alien from space instead the political oponents in Congress.

据电影制片人透露，67岁的小泉将担任影片中外星英雄的配音，不过这位外星英雄的敌人不是议会立法机关中的政治对手，而是来自外太空的怪物和外星人。

The ordinary world is almost instantaneously replaced, not only with a hallucination, but a hallucination whose alien character is its utter alienness.

普通的世界几乎是瞬间取代，不仅是一个幻觉，但幻觉的外来性质是其完全alienness 。

On the other hand, we all know of a few things whose aliveness we don't doubt yet are exceptions to this list.

另一方面，我们都知道这样一些东西：它们毫无疑问是生物，但是却并不符合此清单的所有条件。

Ensure that safety, is helped you to allocate location easy to assemble by professional staff without fail,All-up weight that the wall puts up so that whose dynamics be able to prop up liquid crystal TV and book hanging for a long time.

有没有英文高手帮忙翻译一段专业性较强的文字？谢谢，下面这一段：保证安全，务必由专业人员协助您指定好安装位置，以使其力度能够长时间支撑液晶电视和本本壁挂墙架的总重量。

It allows you to name the file whose information you want to see.

它允许您命名的文件的信息，你想看到的。

In 1811 Morse, whose tastes during his early years led him more strongly towards art than towards science, became the pupil of Washington Allston , and accompanied his master to England , where he remained four years.

莫尔斯在1811年，其口味在早年，他更强烈的艺术比对科学，成为学生的华盛顿奥尔斯顿，并陪同他的主人，以英国，在那里他仍然四年。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。