CAJ | 학술논문

“非空数集”和“单值对应”并非函数概念中始终保持不变的属性，函数概念中始终保持不变的属性是“对应”。“变量说”定义函数存在局限，“对应说”定义函数也存在瑕疵，“关系说”定义函数科学揭示了函数的本质属性。无论是人教版还是湘教版教材，对函数的定义都存在缺陷，必需进一步对其进行优化和改进。
“비공수집”화“단치대응”병비함수개념중시종보지불변적속성，함수개념중시종보지불변적속성시“대응”。“변량설”정의함수존재국한，“대응설”정의함수야존재하자，“관계설”정의함수과학게시료함수적본질속성。무론시인교판환시상교판교재，대함수적정의도존재결함，필수진일보대기진행우화화개진。
“The nonempty set of number”and“single-valued”is not the same attributes that the function concept always keeps, the attribute that the function concept always keeps is“corresponding”. When we define function, the point of view on variable exists limitations, the point of view on corresponding also has some flaw, the point of view on relationships reveals function nature. The defects on definition of function, must be further optimized and improved.