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1)  Quantitative andqulitative
量变质变
2)  qualitative change and quantitative change
质变量变
3)  Metamorphic quality
变质质量
4)  quality variable
质量变量
5)  Qualitative and quantitative changes
质变和量变
6)  quantity change and quality change
量变与质变
1.
In teaching,in order to train and cultivate the students mathematical thinking and enhance their all-round qualities and abilities,we need to introduce the background of its appearance,analyze the features of quantity change and inner relationship,probe into the law of the unity of opposites,such as quantity change and quality change in changing process,approximate and accurate,and so on.
在教学中,注重产生极限概念的实际背景的介绍,分析极限定义中各个变量的变化特征与内在联系,辩证剖析变化过程中的量变与质变、近似与精确等对立统一规律,是训练和培养学生数学思维,提高综合素质和能力的重要途径之一。
2.
Based on the engineering fuzzy sets theory and the variable fuzzy sets theory,according to the definition of opposite fuzzy sets and relative difference functions,the quantity change and quality change criterion models of variable fuzzy sets are proposed,and the variable fuzzy sets theory is established systematically,which is the development for static fuzzy sets of Zadeh.
在工程模糊集与可变模糊集理论基础上,根据对立模糊集与相对差异函数定义,提出可变模糊集量变与质变判据模式,建立比较系统的可变模糊集理论体系,是对扎德模糊集合静态概念的发展。
补充资料:量变质变规律
即“质量互变规律”(167页)。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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