# Redefining the integral

• Published in 2018
In the collection
In this paper, we discuss a similar functional to that of a standard integral. The main difference is in its definition: instead of taking a sum, we are taking a product. It turns out this new "star-integral" may be written in terms of the standard integral but it has many different (and similar) interesting properties compared to the regular integral. Further, we define a "star-derivative" and discuss its relationship to the "star-integral".

### BibTeX entry

@article{Redefiningtheintegral,
title = {Redefining the integral},
abstract = {In this paper, we discuss a similar functional to that of a standard
integral. The main difference is in its definition: instead of taking a sum, we
are taking a product. It turns out this new "star-integral" may be written in
terms of the standard integral but it has many different (and similar)
interesting properties compared to the regular integral. Further, we define a
"star-derivative" and discuss its relationship to the "star-integral".},
url = {http://arxiv.org/abs/1805.01861v1 http://arxiv.org/pdf/1805.01861v1},
year = 2018,
author = {Derek Orr},
comment = {},
urldate = {2018-05-08},
archivePrefix = {arXiv},
eprint = {1805.01861},
primaryClass = {math.CA},
collections = {Unusual arithmetic}
}