Two Equivalent Definitions for the Convergence of Multiple Series
Multiple series,an important research object in series theory,has significant applications in the calculus of multivariable functions and multi-complex variable functions.The analogy is used to divide multiple series into multiple term series and function term series,and two equivalent definitions for the convergence of multiple series with multiple terms and the uniform convergence of multiple series with multiple function terms are given respectively,and the equivalence is proved.