Author(s)

Zheng Xiaming

Corresponding Author

Zheng Xiaming

ABSTRACT

Taylor formula is extensively useful in several fields, such as mathematics, science and technology etc. Because of the wide range of application of Taylor formula, its significance is generally identi-fied. However, Taylor formula is still restricted in vector. In this paper, the domain of Taylor for-mula is generalized and then range is also generalized. Finally, some specific examples in physics are given.

KEYWORDS

Taylor formula, Tensor, Polynomial, Higher-order derivative, Tensor-valued function