# Redefining the integral

- Published in 2018
- Added on

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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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### 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} }