# Redefining the integral

- Published in 2018
- Added on

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".

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## Other information

- key
- Redefiningtheintegral
- type
- article
- date_added
- 2018-05-08
- date_published
- 2018-06-10

### BibTeX entry

@article{Redefiningtheintegral, key = {Redefiningtheintegral}, type = {article}, title = {Redefining the integral}, author = {Derek Orr}, 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".}, comment = {}, date_added = {2018-05-08}, date_published = {2018-06-10}, urls = {http://arxiv.org/abs/1805.01861v1,http://arxiv.org/pdf/1805.01861v1}, collections = {Unusual arithmetic}, url = {http://arxiv.org/abs/1805.01861v1 http://arxiv.org/pdf/1805.01861v1}, year = 2018, urldate = {2018-05-08}, archivePrefix = {arXiv}, eprint = {1805.01861}, primaryClass = {math.CA} }