数学

Assessable mathematical model of safety evacuation in subway station was proposed with combined principle of fuzzy mathematics and fuzzy hierarchy analysis process.

根据地铁站的火灾特点和安全疏散的影响因素建立了评估因素集，结合模糊数学原理和模糊层次分析法，建立了地铁站安全疏散评估数学模型。

However, Liber Abaci was written in the Latin language of literature, so it is difficult to understand for researchers, specifically for Chinese scholars, to whom more difficult plus the lack of the original documentation.

但长期以来该书只有拉丁文本，加之全书以语言表述数学的形式，数学史界对此书缺乏完整而系统的研究，特别是中国学者苦于缺乏原始文献，以及阅读拉丁语的困难，只能通过一些通史性文献和原著选录中的片段进行初步研究。

Liber Abaci emphasizes summed-up algorithm, but does not pay attention to the form of propositions derived, and it mainly reflects the tendency of practical algorithms, such as principal method from India and the algebraic knowledge from the Arab. In Liber Abaci it is found some problems similar to ancient Chinese mathematics like pursuit problems, drainage problems, business problems, hundred fowls problems, remainder problems, indeterminate problems, as well as some Algorithm—fraction addition and subtraction,the compound rule of three, the method Elchataym and the method of Excess and Deficit, and so on.

在系统梳理《计算之书》数学内容过程中，笔者发现《计算之书》中存有与中国古代数学中相似的实用算题，如：追及问题、排水问题、经商问题、百鸡问题、剩余问题、不定问题等，以及和中算一致的算法：分数算法、多率法和重今有术、第二类&Elchataym算法&和盈不足术等。

An open-ended mathematical problem, to which there is not only one method to solve and not the only answer, draws the students attention to think and find out the various answers to the problem by themselves instead of depending on their teachers and textbooks. Students are changed into the active thinkers and finders from the passive accepters. In this way studcnds are guaranteed to play the main role and helped to form their self-awareness and independence of their personalities.

数学开放题由于其自身的开放性质，不再是方法唯一，答案唯一，这就吸引学生不依赖教师和课本，独立地去探索和发现问题的各种各样的答案，学生由知识的被动接受者转变为知识的主动发现者和探索者，保障了学生的主体地位，从而在利于学生自我意识和独立人格的形成，为培养学生的创新精神奠定了基础，对全面推进中学数学素质教育有重要意义。

According to legend, the way Pythagoras discovered that musical notes could be translated into mathematical equations was when one day he passed blacksmiths at work, and thought that the sounds emanating from their anvils being hit were beautiful and harmonious and decided that whatever scientific law caused this to happen must be mathematical and could be applied to music.

传说毕达哥拉斯是这样发现音符可以转化成数学方程的：有一天他经过铁匠铺的时候就想，从击打铁砧飞出来的声音很好听也很和谐，他就确定：产生这种现象的科学规律必定是数学的而且可以用到音乐中来。

For as it was found that all mathematical inferences proceed in accordance with the principle of contradiction (which the nature of all apodeictic certainty requires), it was supposed that the fundamental propositions of the science can themselves be known to be true(2) through that principle.

因为由于发现一切数学的推理都是按照一切必然性的确实性之性质所要求的矛盾原理而进行的，于是就认为数学这门科学的基本命题本身也是通过矛盾原理而被人认知[30]的。

For as it was found that all mathematical inferences proceed in accordance with the principle of contradiction (which the nature of all apodeictic certainty requires), it was supposed that the fundamental propositions of the science can themselves be known to be true through that principle.

所有的数学推论都是遵守着矛盾原理(即是 A 和非 A 不能同时存在)，于是我们猜想所有的基本数学命题都可以通过这个原理来被证明。

This paper deals with the magic functions of fuzzy mathematics in the comprehensive assessment of the hospital carders.

模糊数学诞生于1965年，它的创始人是美国加利福尼亚大学的自动控制专家查德教授。40多年来，模糊数学得到了迅速发展，已被广泛应用于自然科学、社会科学和管理科学的各个领域，其有效性已得到了充分的验证。

At the same time, some articles that have been studied about the theory combined pure mathematics with rough sets have been emerged, and some new mathematical notions, such as rough logic, rough ideal in semigroups, rough groups and rough subgroups, rough cosets, rough invariant subgroups and homomorphism and isomorphism of rough groups, are introduced.

同时，纯粹的数学理论与粗糙集理论结合起来进行研究已有文章出现，并不断有新的数学概念出现，如&粗糙逻辑&、&半群中的粗理想&、&粗糙陪集&、&粗糙不变子群&、&粗糙群和粗糙子群&、&粗糙群的同态与同构&。

The main purpose of this study was to explore the effects of eikon-hints on understanding the mathematics eikons of the junior high school's course for the seventh grade student.

本研究主要目的是探讨图像提示对国中一年级学生理解数学图像测验的成效，藉以了解影响国中一年级学生理解数学测验图像的相关因素。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。