In this paper,symmetric partial derivatives and symmetric total differential of a function of several variables are defined.The relationship between partial derivative and the symmetric partial derivative,the total di...In this paper,symmetric partial derivatives and symmetric total differential of a function of several variables are defined.The relationship between partial derivative and the symmetric partial derivative,the total differential and the symmetric total derivative are discussed. By means of the concept of symmetric partial derivatives,the existence theorem of the total differential of a function of several is obtained.展开更多
文摘In this paper,symmetric partial derivatives and symmetric total differential of a function of several variables are defined.The relationship between partial derivative and the symmetric partial derivative,the total differential and the symmetric total derivative are discussed. By means of the concept of symmetric partial derivatives,the existence theorem of the total differential of a function of several is obtained.
