Title
Extension and Application of Deleting Items and Disturbing Mesh Theorem of Riemann Integral.
Abstract
The deleting items and disturbing mesh theorems of Riemann Integral are extended to multiple integral,line integral and surface integral respectively by constructing various of incomplete Riemann sum and non-Riemann sum sequences which converge to the same limit of classical Riemann sum. And, the deleting items and disturbing mesh formulae of Greenu0027s theorem, Stokesu0027 theorem and divergence theorem (Gaussu0027s or Ostrogradsky u0027s theorem) are also deduced. Then, the deleting items and disturbing mesh theorems of general Stokesu0027 theorem on differential manifold are also derived.
Year
Venue
DocType
2018
arXiv: Probability
Journal
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
Jingwei Liu12010.65